%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL941^5 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:12 AM UTC 2026 % Result : Theorem 171.50s 172.72s % Output : Proof 171.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL941^5 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.45 % Computer : n017.cluster.edu % 0.18/0.45 % Model : x86_64 x86_64 % 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.45 % Memory : 8046.5625MB % 0.18/0.45 % OS : Linux 6.8.0-71-generic % 0.18/0.45 % CPULimit : 300 % 0.18/0.45 % WCLimit : 300 % 0.18/0.45 % DateTime : Sat Sep 5 15:09:37 UTC 2026 % 0.18/0.45 % CPUTime : % 0.38/0.65 %----Proving TH0 % 171.50/172.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 171.50/172.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 171.50/172.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 171.50/172.72 --- Run --ho-elim --full-saturate-quant at 18s... % 171.50/172.72 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 171.50/172.72 % SZS status Theorem % 171.50/172.72 % SZS output start Proof % 171.50/172.72 ( % 171.50/172.72 (declare-sort $$unsorted 0) % 171.50/172.72 (declare-sort tptp.mworld 0) % 171.50/172.72 (declare-const tptp.mactual tptp.mworld) % 171.50/172.72 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 171.50/172.72 (declare-const tptp.unit $$unsorted) % 171.50/172.72 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 171.50/172.72 (declare-const tptp.e2 $$unsorted) % 171.50/172.72 (declare-const tptp.e0 $$unsorted) % 171.50/172.72 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 171.50/172.72 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 171.50/172.72 (declare-const tptp.e3 $$unsorted) % 171.50/172.72 (declare-const tptp.e1 $$unsorted) % 171.50/172.72 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 171.50/172.72 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 171.50/172.72 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 171.50/172.72 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 171.50/172.72 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 171.50/172.72 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 171.50/172.72 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 171.50/172.72 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 171.50/172.72 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 171.50/172.72 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 171.50/172.72 (define @t1 () (@var "W" tptp.mworld)) % 171.50/172.72 (define @t2 () (_ tptp.mrel @t1)) % 171.50/172.72 (define @t3 () (_ @t2 @t1)) % 171.50/172.72 (define @t4 () (@list @t1)) % 171.50/172.72 (define @t5 () (forall @t4 @t3)) % 171.50/172.72 (define @t6 () (@var "V" tptp.mworld)) % 171.50/172.72 (define @t7 () (@var "U" tptp.mworld)) % 171.50/172.72 (define @t8 () (_ (_ tptp.mrel @t7) @t6)) % 171.50/172.72 (define @t9 () (_ @t2 @t6)) % 171.50/172.72 (define @t10 () (_ @t2 @t7)) % 171.50/172.72 (define @t11 () (and @t10 @t9)) % 171.50/172.72 (define @t12 () (@list @t1 @t6 @t7)) % 171.50/172.72 (define @t13 () (forall @t12 (=> @t11 @t8))) % 171.50/172.72 (define @t14 () (@var "__flatten_var_0" tptp.mworld)) % 171.50/172.72 (define @t15 () (@var "X" $$unsorted)) % 171.50/172.72 (define @t16 () (_ tptp.qmltpeq @t15)) % 171.50/172.72 (define @t17 () (@list @t15 @t14)) % 171.50/172.72 (define @t18 () (@var "Y" $$unsorted)) % 171.50/172.72 (define @t19 () (_ tptp.qmltpeq @t18)) % 171.50/172.72 (define @t20 () (_ tptp.mbox (_ @t16 @t18))) % 171.50/172.72 (define @t21 () (@list @t18 @t14)) % 171.50/172.72 (define @t22 () (@var "Z" $$unsorted)) % 171.50/172.72 (define @t23 () (@var "B" $$unsorted)) % 171.50/172.72 (define @t24 () (@var "A" $$unsorted)) % 171.50/172.72 (define @t25 () (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.qmltpeq @t24) @t23)))) % 171.50/172.72 (define @t26 () (@list @t23 @t14)) % 171.50/172.72 (define @t27 () (@list @t24 @t14)) % 171.50/172.72 (define @t28 () (@var "C" $$unsorted)) % 171.50/172.72 (define @t29 () (@list @t28 @t14)) % 171.50/172.72 (define @t30 () (_ tptp.op @t28)) % 171.50/172.72 (define @t31 () (_ tptp.op tptp.e3)) % 171.50/172.72 (define @t32 () (_ @t31 tptp.e3)) % 171.50/172.72 (define @t33 () (_ tptp.qmltpeq @t32)) % 171.50/172.72 (define @t34 () (_ @t33 tptp.e3)) % 171.50/172.72 (define @t35 () (_ tptp.mbox @t34)) % 171.50/172.72 (define @t36 () (_ @t33 tptp.e2)) % 171.50/172.72 (define @t37 () (_ tptp.mbox @t36)) % 171.50/172.72 (define @t38 () (_ @t33 tptp.e1)) % 171.50/172.72 (define @t39 () (_ tptp.mbox @t38)) % 171.50/172.72 (define @t40 () (_ @t33 tptp.e0)) % 171.50/172.72 (define @t41 () (_ tptp.mbox @t40)) % 171.50/172.72 (define @t42 () (_ @t31 tptp.e2)) % 171.50/172.72 (define @t43 () (_ tptp.qmltpeq @t42)) % 171.50/172.72 (define @t44 () (_ @t31 tptp.e1)) % 171.50/172.72 (define @t45 () (_ tptp.qmltpeq @t44)) % 171.50/172.72 (define @t46 () (_ @t31 tptp.e0)) % 171.50/172.72 (define @t47 () (_ tptp.qmltpeq @t46)) % 171.50/172.72 (define @t48 () (_ tptp.op tptp.e2)) % 171.50/172.72 (define @t49 () (_ @t48 tptp.e3)) % 171.50/172.72 (define @t50 () (_ tptp.qmltpeq @t49)) % 171.50/172.72 (define @t51 () (_ @t48 tptp.e2)) % 171.50/172.72 (define @t52 () (_ tptp.qmltpeq @t51)) % 171.50/172.72 (define @t53 () (_ @t52 tptp.e3)) % 171.50/172.72 (define @t54 () (_ tptp.mbox @t53)) % 171.50/172.72 (define @t55 () (_ @t52 tptp.e2)) % 171.50/172.72 (define @t56 () (_ tptp.mbox @t55)) % 171.50/172.72 (define @t57 () (_ @t52 tptp.e1)) % 171.50/172.72 (define @t58 () (_ tptp.mbox @t57)) % 171.50/172.72 (define @t59 () (_ @t52 tptp.e0)) % 171.50/172.72 (define @t60 () (_ tptp.mbox @t59)) % 171.50/172.72 (define @t61 () (_ @t48 tptp.e1)) % 171.50/172.72 (define @t62 () (_ tptp.qmltpeq @t61)) % 171.50/172.72 (define @t63 () (_ @t48 tptp.e0)) % 171.50/172.72 (define @t64 () (_ tptp.qmltpeq @t63)) % 171.50/172.72 (define @t65 () (_ tptp.op tptp.e1)) % 171.50/172.72 (define @t66 () (_ @t65 tptp.e3)) % 171.50/172.72 (define @t67 () (_ tptp.qmltpeq @t66)) % 171.50/172.72 (define @t68 () (_ @t65 tptp.e2)) % 171.50/172.72 (define @t69 () (_ tptp.qmltpeq @t68)) % 171.50/172.72 (define @t70 () (_ @t65 tptp.e1)) % 171.50/172.72 (define @t71 () (_ tptp.qmltpeq @t70)) % 171.50/172.72 (define @t72 () (_ @t71 tptp.e3)) % 171.50/172.72 (define @t73 () (_ tptp.mbox @t72)) % 171.50/172.72 (define @t74 () (_ @t71 tptp.e2)) % 171.50/172.72 (define @t75 () (_ tptp.mbox @t74)) % 171.50/172.72 (define @t76 () (_ @t71 tptp.e1)) % 171.50/172.72 (define @t77 () (_ tptp.mbox @t76)) % 171.50/172.72 (define @t78 () (_ @t71 tptp.e0)) % 171.50/172.72 (define @t79 () (_ tptp.mbox @t78)) % 171.50/172.72 (define @t80 () (_ @t65 tptp.e0)) % 171.50/172.72 (define @t81 () (_ tptp.qmltpeq @t80)) % 171.50/172.72 (define @t82 () (_ tptp.op tptp.e0)) % 171.50/172.72 (define @t83 () (_ @t82 tptp.e3)) % 171.50/172.72 (define @t84 () (_ tptp.qmltpeq @t83)) % 171.50/172.72 (define @t85 () (_ @t82 tptp.e2)) % 171.50/172.72 (define @t86 () (_ tptp.qmltpeq @t85)) % 171.50/172.72 (define @t87 () (_ @t82 tptp.e1)) % 171.50/172.72 (define @t88 () (_ tptp.qmltpeq @t87)) % 171.50/172.72 (define @t89 () (_ @t82 tptp.e0)) % 171.50/172.72 (define @t90 () (_ tptp.qmltpeq @t89)) % 171.50/172.72 (define @t91 () (_ @t90 tptp.e3)) % 171.50/172.72 (define @t92 () (_ tptp.mbox @t91)) % 171.50/172.72 (define @t93 () (_ @t90 tptp.e2)) % 171.50/172.72 (define @t94 () (_ tptp.mbox @t93)) % 171.50/172.72 (define @t95 () (_ @t90 tptp.e1)) % 171.50/172.72 (define @t96 () (_ tptp.mbox @t95)) % 171.50/172.72 (define @t97 () (_ @t90 tptp.e0)) % 171.50/172.72 (define @t98 () (_ tptp.mbox @t97)) % 171.50/172.72 (define @t99 () (_ tptp.op @t32)) % 171.50/172.72 (define @t100 () (_ tptp.op @t42)) % 171.50/172.72 (define @t101 () (_ tptp.op @t44)) % 171.50/172.72 (define @t102 () (_ tptp.op @t46)) % 171.50/172.72 (define @t103 () (_ tptp.op @t49)) % 171.50/172.72 (define @t104 () (_ tptp.op @t51)) % 171.50/172.72 (define @t105 () (_ tptp.op @t61)) % 171.50/172.72 (define @t106 () (_ tptp.op @t63)) % 171.50/172.72 (define @t107 () (_ tptp.op @t66)) % 171.50/172.72 (define @t108 () (_ tptp.op @t68)) % 171.50/172.72 (define @t109 () (_ tptp.op @t70)) % 171.50/172.72 (define @t110 () (_ tptp.op @t80)) % 171.50/172.72 (define @t111 () (_ tptp.op @t83)) % 171.50/172.72 (define @t112 () (_ tptp.op @t85)) % 171.50/172.72 (define @t113 () (_ tptp.op @t87)) % 171.50/172.72 (define @t114 () (_ tptp.op @t89)) % 171.50/172.72 (define @t115 () (_ tptp.qmltpeq tptp.unit)) % 171.50/172.72 (define @t116 () (_ tptp.mbox (_ @t115 tptp.e0))) % 171.50/172.72 (define @t117 () (_ tptp.op tptp.unit)) % 171.50/172.72 (define @t118 () (_ tptp.inv tptp.e3)) % 171.50/172.72 (define @t119 () (_ tptp.qmltpeq @t118)) % 171.50/172.72 (define @t120 () (_ tptp.mbox (_ @t119 tptp.e3))) % 171.50/172.72 (define @t121 () (_ tptp.mbox (_ @t119 tptp.e2))) % 171.50/172.72 (define @t122 () (_ tptp.mbox (_ @t119 tptp.e1))) % 171.50/172.72 (define @t123 () (_ tptp.mbox (_ @t119 tptp.e0))) % 171.50/172.72 (define @t124 () (_ tptp.inv tptp.e2)) % 171.50/172.72 (define @t125 () (_ tptp.qmltpeq @t124)) % 171.50/172.72 (define @t126 () (_ tptp.mbox (_ @t125 tptp.e3))) % 171.50/172.72 (define @t127 () (_ tptp.mbox (_ @t125 tptp.e2))) % 171.50/172.73 (define @t128 () (_ tptp.mbox (_ @t125 tptp.e1))) % 171.50/172.73 (define @t129 () (_ tptp.mbox (_ @t125 tptp.e0))) % 171.50/172.73 (define @t130 () (_ tptp.inv tptp.e1)) % 171.50/172.73 (define @t131 () (_ tptp.qmltpeq @t130)) % 171.50/172.73 (define @t132 () (_ tptp.mbox (_ @t131 tptp.e3))) % 171.50/172.73 (define @t133 () (_ tptp.mbox (_ @t131 tptp.e2))) % 171.50/172.73 (define @t134 () (_ tptp.mbox (_ @t131 tptp.e1))) % 171.50/172.73 (define @t135 () (_ tptp.mbox (_ @t131 tptp.e0))) % 171.50/172.73 (define @t136 () (_ tptp.inv tptp.e0)) % 171.50/172.73 (define @t137 () (_ tptp.qmltpeq @t136)) % 171.50/172.73 (define @t138 () (_ tptp.mbox (_ @t137 tptp.e3))) % 171.50/172.73 (define @t139 () (_ tptp.mbox (_ @t137 tptp.e2))) % 171.50/172.73 (define @t140 () (_ tptp.mbox (_ @t137 tptp.e1))) % 171.50/172.73 (define @t141 () (_ tptp.mbox (_ @t137 tptp.e0))) % 171.50/172.73 (define @t142 () (_ tptp.qmltpeq tptp.e1)) % 171.50/172.73 (define @t143 () (_ tptp.qmltpeq tptp.e0)) % 171.50/172.73 (define @t144 () (_ (_ tptp.mand @t92) (_ (_ tptp.mand @t73) (_ (_ tptp.mand @t54) @t35)))) % 171.50/172.73 (define @t145 () (_ tptp.mor (_ (_ tptp.mand @t94) (_ (_ tptp.mand @t75) (_ (_ tptp.mand @t56) @t37))))) % 171.50/172.73 (define @t146 () (_ tptp.mor (_ (_ tptp.mand @t96) (_ (_ tptp.mand @t77) (_ (_ tptp.mand @t58) @t39))))) % 171.50/172.73 (define @t147 () (_ tptp.mor (_ (_ tptp.mand @t98) (_ (_ tptp.mand @t79) (_ (_ tptp.mand @t60) @t41))))) % 171.50/172.73 (define @t148 () (not (_ tptp.mlocal (_ @t147 (_ @t146 (_ @t145 (_ (_ tptp.mor @t144) (_ tptp.mbox (_ tptp.mnot (_ @t147 (_ @t146 (_ @t145 @t144)))))))))))) % 171.50/172.73 (define @t149 () (@var "Phi" (-> tptp.mworld Bool))) % 171.50/172.73 (define @t150 () (lambda (@list @t149) (_ @t149 tptp.mactual))) % 171.50/172.73 (define @t151 () (@var "A" (-> tptp.mworld Bool))) % 171.50/172.73 (define @t152 () (_ @t151 @t1)) % 171.50/172.73 (define @t153 () (lambda (@list @t151 @t1) (not @t152))) % 171.50/172.73 (define @t154 () (@var "B" (-> tptp.mworld Bool))) % 171.50/172.73 (define @t155 () (_ @t154 @t1)) % 171.50/172.73 (define @t156 () (@list @t151 @t154 @t1)) % 171.50/172.73 (define @t157 () (lambda @t156 (and @t152 @t155))) % 171.50/172.73 (define @t158 () (lambda @t156 (or @t152 @t155))) % 171.50/172.73 (define @t159 () (lambda @t156 (=> @t152 @t155))) % 171.50/172.73 (define @t160 () (lambda @t156 (= @t152 @t155))) % 171.50/172.73 (define @t161 () (_ @t149 @t6)) % 171.50/172.73 (define @t162 () (@list @t6)) % 171.50/172.73 (define @t163 () (forall @t162 (=> @t9 @t161))) % 171.50/172.73 (define @t164 () (@list @t149 @t1)) % 171.50/172.73 (define @t165 () (lambda @t164 @t163)) % 171.50/172.73 (define @t166 () (lambda @t164 (exists @t162 (and @t9 @t161)))) % 171.50/172.73 (define @t167 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 171.50/172.73 (define @t168 () (_ (_ @t167 @t15) @t1)) % 171.50/172.73 (define @t169 () (@list @t15)) % 171.50/172.73 (define @t170 () (@list @t167 @t1)) % 171.50/172.73 (define @t171 () (lambda @t170 (forall @t169 @t168))) % 171.50/172.73 (define @t172 () (lambda @t170 (exists @t169 @t168))) % 171.50/172.73 (define @t173 () (@var "y" (@ho-elim-sort (-> tptp.mworld Bool)))) % 171.50/172.73 (define @t174 () (@var "x" (@ho-elim-sort (-> tptp.mworld Bool)))) % 171.50/172.73 (define @t175 () (@var "z" tptp.mworld)) % 171.50/172.73 (define @t176 () (@const 0 (-> (@ho-elim-sort (-> tptp.mworld Bool)) tptp.mworld Bool))) % 171.50/172.73 (define @t177 () (@list @t175)) % 171.50/172.73 (define @t178 () (@var "BOUND_VARIABLE_21776" tptp.mworld)) % 171.50/172.73 (define @t179 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 171.50/172.73 (define @t180 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 171.50/172.73 (define @t181 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 171.50/172.73 (define @t182 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted tptp.mworld Bool)))) % 171.50/172.73 (define @t183 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted tptp.mworld Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted tptp.mworld Bool))))) % 171.50/172.73 (define @t184 () (_ @t183 @t182 (_ @t181 (_ @t180 @t179 tptp.e3) tptp.e3))) % 171.50/172.73 (define @t185 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)) $$unsorted (@ho-elim-sort (-> tptp.mworld Bool))))) % 171.50/172.73 (define @t186 () (_ @t185 @t184 tptp.e3)) % 171.50/172.73 (define @t187 () (_ @t176 @t186 @t178)) % 171.50/172.73 (define @t188 () (@const 7 (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool)))) % 171.50/172.73 (define @t189 () (@const 8 (-> (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool)) tptp.mworld (@ho-elim-sort (-> tptp.mworld Bool))))) % 171.50/172.73 (define @t190 () (_ @t189 @t188 @t6)) % 171.50/172.73 (define @t191 () (@list @t178)) % 171.50/172.73 (define @t192 () (@var "BOUND_VARIABLE_21784" tptp.mworld)) % 171.50/172.73 (define @t193 () (_ @t183 @t182 (_ @t181 (_ @t180 @t179 tptp.e2) tptp.e2))) % 171.50/172.73 (define @t194 () (_ @t185 @t193 tptp.e3)) % 171.50/172.73 (define @t195 () (_ @t176 @t194 @t192)) % 171.50/172.73 (define @t196 () (@list @t192)) % 171.50/172.73 (define @t197 () (@var "BOUND_VARIABLE_21792" tptp.mworld)) % 171.50/172.73 (define @t198 () (_ @t183 @t182 (_ @t181 (_ @t180 @t179 tptp.e1) tptp.e1))) % 171.50/172.73 (define @t199 () (_ @t185 @t198 tptp.e3)) % 171.50/172.73 (define @t200 () (_ @t176 @t199 @t197)) % 171.50/172.73 (define @t201 () (@list @t197)) % 171.50/172.73 (define @t202 () (@var "BOUND_VARIABLE_21800" tptp.mworld)) % 171.50/172.73 (define @t203 () (_ @t183 @t182 (_ @t181 (_ @t180 @t179 tptp.e0) tptp.e0))) % 171.50/172.73 (define @t204 () (_ @t185 @t203 tptp.e3)) % 171.50/172.73 (define @t205 () (_ @t176 @t204 @t202)) % 171.50/172.73 (define @t206 () (@list @t202)) % 171.50/172.73 (define @t207 () (@var "BOUND_VARIABLE_21809" tptp.mworld)) % 171.50/172.73 (define @t208 () (_ @t185 @t184 tptp.e2)) % 171.50/172.73 (define @t209 () (_ @t176 @t208 @t207)) % 171.50/172.73 (define @t210 () (@list @t207)) % 171.50/172.73 (define @t211 () (@var "BOUND_VARIABLE_21817" tptp.mworld)) % 171.50/172.73 (define @t212 () (_ @t185 @t193 tptp.e2)) % 171.50/172.73 (define @t213 () (_ @t176 @t212 @t211)) % 171.50/172.73 (define @t214 () (@list @t211)) % 171.50/172.73 (define @t215 () (@var "BOUND_VARIABLE_21825" tptp.mworld)) % 171.50/172.73 (define @t216 () (_ @t185 @t198 tptp.e2)) % 171.50/172.73 (define @t217 () (_ @t176 @t216 @t215)) % 171.50/172.73 (define @t218 () (@list @t215)) % 171.50/172.73 (define @t219 () (@var "BOUND_VARIABLE_21833" tptp.mworld)) % 171.50/172.73 (define @t220 () (_ @t185 @t203 tptp.e2)) % 171.50/172.73 (define @t221 () (_ @t176 @t220 @t219)) % 171.50/172.73 (define @t222 () (@list @t219)) % 171.50/172.73 (define @t223 () (@var "BOUND_VARIABLE_21842" tptp.mworld)) % 171.50/172.73 (define @t224 () (_ @t185 @t184 tptp.e1)) % 171.50/172.73 (define @t225 () (_ @t176 @t224 @t223)) % 171.50/172.73 (define @t226 () (@list @t223)) % 171.50/172.73 (define @t227 () (@var "BOUND_VARIABLE_21850" tptp.mworld)) % 171.50/172.73 (define @t228 () (_ @t185 @t193 tptp.e1)) % 171.50/172.73 (define @t229 () (_ @t176 @t228 @t227)) % 171.50/172.73 (define @t230 () (@list @t227)) % 171.50/172.73 (define @t231 () (@var "BOUND_VARIABLE_21858" tptp.mworld)) % 171.50/172.73 (define @t232 () (_ @t185 @t198 tptp.e1)) % 171.50/172.73 (define @t233 () (_ @t176 @t232 @t231)) % 171.50/172.73 (define @t234 () (@list @t231)) % 171.50/172.73 (define @t235 () (@var "BOUND_VARIABLE_21866" tptp.mworld)) % 171.50/172.73 (define @t236 () (_ @t185 @t203 tptp.e1)) % 171.50/172.73 (define @t237 () (_ @t176 @t236 @t235)) % 171.50/172.73 (define @t238 () (@list @t235)) % 171.50/172.73 (define @t239 () (@var "BOUND_VARIABLE_21875" tptp.mworld)) % 171.50/172.73 (define @t240 () (_ @t185 @t184 tptp.e0)) % 171.50/172.73 (define @t241 () (_ @t176 @t240 @t239)) % 171.50/172.73 (define @t242 () (@list @t239)) % 171.50/172.73 (define @t243 () (@var "BOUND_VARIABLE_21883" tptp.mworld)) % 171.50/172.73 (define @t244 () (_ @t185 @t193 tptp.e0)) % 171.50/172.73 (define @t245 () (_ @t176 @t244 @t243)) % 171.50/172.73 (define @t246 () (@list @t243)) % 171.50/172.73 (define @t247 () (@var "BOUND_VARIABLE_21891" tptp.mworld)) % 171.50/172.73 (define @t248 () (_ @t185 @t198 tptp.e0)) % 171.50/172.73 (define @t249 () (_ @t176 @t248 @t247)) % 171.50/172.73 (define @t250 () (@list @t247)) % 171.50/172.73 (define @t251 () (@var "BOUND_VARIABLE_21899" tptp.mworld)) % 171.50/172.73 (define @t252 () (_ @t185 @t203 tptp.e0)) % 171.50/172.73 (define @t253 () (_ @t176 @t252 @t251)) % 171.50/172.73 (define @t254 () (@list @t251)) % 171.50/172.73 (define @t255 () (_ @t189 @t188 tptp.mactual)) % 171.50/172.73 (define @t256 () (not (_ @t176 @t255 @t6))) % 171.50/172.73 (define @t257 () (forall @t162 (or @t256 (and (or (not (forall @t254 (or (not (_ @t176 @t190 @t251)) @t253))) (not (forall @t250 (or (not (_ @t176 @t190 @t247)) @t249))) (not (forall @t246 (or (not (_ @t176 @t190 @t243)) @t245))) (not (forall @t242 (or (not (_ @t176 @t190 @t239)) @t241)))) (or (not (forall @t238 (or (not (_ @t176 @t190 @t235)) @t237))) (not (forall @t234 (or (not (_ @t176 @t190 @t231)) @t233))) (not (forall @t230 (or (not (_ @t176 @t190 @t227)) @t229))) (not (forall @t226 (or (not (_ @t176 @t190 @t223)) @t225)))) (or (not (forall @t222 (or (not (_ @t176 @t190 @t219)) @t221))) (not (forall @t218 (or (not (_ @t176 @t190 @t215)) @t217))) (not (forall @t214 (or (not (_ @t176 @t190 @t211)) @t213))) (not (forall @t210 (or (not (_ @t176 @t190 @t207)) @t209)))) (or (not (forall @t206 (or (not (_ @t176 @t190 @t202)) @t205))) (not (forall @t201 (or (not (_ @t176 @t190 @t197)) @t200))) (not (forall @t196 (or (not (_ @t176 @t190 @t192)) @t195))) (not (forall @t191 (or (not (_ @t176 @t190 @t178)) @t187)))))))) % 171.50/172.73 (define @t258 () (@quantifiers_skolemize @t257 0)) % 171.50/172.73 (define @t259 () (_ @t189 @t188 @t258)) % 171.50/172.73 (define @t260 () (forall @t177 (= (_ @t176 @t255 @t175) (_ @t176 @t259 @t175)))) % 171.50/172.73 (define @t261 () (@quantifiers_skolemize @t260 0)) % 171.50/172.73 (define @t262 () (_ @t176 @t259 @t261)) % 171.50/172.73 (define @t263 () (_ @t176 @t255 @t261)) % 171.50/172.73 (define @t264 () (= @t263 @t262)) % 171.50/172.73 (define @t265 () (forall @t162 (or @t256 (_ @t176 @t186 @t6)))) % 171.50/172.73 (define @t266 () (forall @t162 (or @t256 (_ @t176 @t194 @t6)))) % 171.50/172.73 (define @t267 () (forall @t162 (or @t256 (_ @t176 @t199 @t6)))) % 171.50/172.73 (define @t268 () (forall @t162 (or @t256 (_ @t176 @t204 @t6)))) % 171.50/172.73 (define @t269 () (forall @t162 (or @t256 (_ @t176 @t208 @t6)))) % 171.50/172.73 (define @t270 () (forall @t162 (or @t256 (_ @t176 @t212 @t6)))) % 171.50/172.73 (define @t271 () (forall @t162 (or @t256 (_ @t176 @t216 @t6)))) % 171.50/172.73 (define @t272 () (forall @t162 (or @t256 (_ @t176 @t220 @t6)))) % 171.50/172.73 (define @t273 () (forall @t162 (or @t256 (_ @t176 @t224 @t6)))) % 171.50/172.73 (define @t274 () (forall @t162 (or @t256 (_ @t176 @t228 @t6)))) % 171.50/172.73 (define @t275 () (forall @t162 (or @t256 (_ @t176 @t232 @t6)))) % 171.50/172.73 (define @t276 () (forall @t162 (or @t256 (_ @t176 @t236 @t6)))) % 171.50/172.73 (define @t277 () (forall @t162 (or @t256 (_ @t176 @t240 @t6)))) % 171.50/172.73 (define @t278 () (forall @t162 (or @t256 (_ @t176 @t244 @t6)))) % 171.50/172.73 (define @t279 () (forall @t162 (or @t256 (_ @t176 @t248 @t6)))) % 171.50/172.73 (define @t280 () (forall @t162 (or @t256 (_ @t176 @t252 @t6)))) % 171.50/172.73 (define @t281 () (tptp.op tptp.e3 tptp.e3)) % 171.50/172.73 (define @t282 () (tptp.qmltpeq @t281 tptp.e3 @t178)) % 171.50/172.73 (define @t283 () (forall @t191 (or (not (tptp.mrel @t6 @t178)) @t282))) % 171.50/172.73 (define @t284 () (not @t283)) % 171.50/172.73 (define @t285 () (tptp.op tptp.e2 tptp.e2)) % 171.50/172.73 (define @t286 () (tptp.qmltpeq @t285 tptp.e3 @t192)) % 171.50/172.73 (define @t287 () (forall @t196 (or (not (tptp.mrel @t6 @t192)) @t286))) % 171.50/172.73 (define @t288 () (not @t287)) % 171.50/172.73 (define @t289 () (tptp.op tptp.e1 tptp.e1)) % 171.50/172.73 (define @t290 () (tptp.qmltpeq @t289 tptp.e3 @t197)) % 171.50/172.73 (define @t291 () (forall @t201 (or (not (tptp.mrel @t6 @t197)) @t290))) % 171.50/172.73 (define @t292 () (not @t291)) % 171.50/172.73 (define @t293 () (tptp.op tptp.e0 tptp.e0)) % 171.50/172.73 (define @t294 () (tptp.qmltpeq @t293 tptp.e3 @t202)) % 171.50/172.73 (define @t295 () (forall @t206 (or (not (tptp.mrel @t6 @t202)) @t294))) % 171.50/172.73 (define @t296 () (not @t295)) % 171.50/172.73 (define @t297 () (or @t296 @t292 @t288 @t284)) % 171.50/172.73 (define @t298 () (tptp.qmltpeq @t281 tptp.e2 @t207)) % 171.50/172.73 (define @t299 () (forall @t210 (or (not (tptp.mrel @t6 @t207)) @t298))) % 171.50/172.73 (define @t300 () (not @t299)) % 171.50/172.73 (define @t301 () (tptp.qmltpeq @t285 tptp.e2 @t211)) % 171.50/172.73 (define @t302 () (forall @t214 (or (not (tptp.mrel @t6 @t211)) @t301))) % 171.50/172.73 (define @t303 () (not @t302)) % 171.50/172.73 (define @t304 () (tptp.qmltpeq @t289 tptp.e2 @t215)) % 171.50/172.73 (define @t305 () (forall @t218 (or (not (tptp.mrel @t6 @t215)) @t304))) % 171.50/172.73 (define @t306 () (not @t305)) % 171.50/172.73 (define @t307 () (tptp.qmltpeq @t293 tptp.e2 @t219)) % 171.50/172.73 (define @t308 () (forall @t222 (or (not (tptp.mrel @t6 @t219)) @t307))) % 171.50/172.73 (define @t309 () (not @t308)) % 171.50/172.73 (define @t310 () (or @t309 @t306 @t303 @t300)) % 171.50/172.73 (define @t311 () (tptp.qmltpeq @t281 tptp.e1 @t223)) % 171.50/172.73 (define @t312 () (forall @t226 (or (not (tptp.mrel @t6 @t223)) @t311))) % 171.50/172.73 (define @t313 () (not @t312)) % 171.50/172.73 (define @t314 () (tptp.qmltpeq @t285 tptp.e1 @t227)) % 171.50/172.73 (define @t315 () (forall @t230 (or (not (tptp.mrel @t6 @t227)) @t314))) % 171.50/172.73 (define @t316 () (not @t315)) % 171.50/172.73 (define @t317 () (tptp.qmltpeq @t289 tptp.e1 @t231)) % 171.50/172.73 (define @t318 () (forall @t234 (or (not (tptp.mrel @t6 @t231)) @t317))) % 171.50/172.73 (define @t319 () (not @t318)) % 171.50/172.73 (define @t320 () (tptp.qmltpeq @t293 tptp.e1 @t235)) % 171.50/172.73 (define @t321 () (forall @t238 (or (not (tptp.mrel @t6 @t235)) @t320))) % 171.50/172.73 (define @t322 () (not @t321)) % 171.50/172.73 (define @t323 () (or @t322 @t319 @t316 @t313)) % 171.50/172.73 (define @t324 () (tptp.qmltpeq @t281 tptp.e0 @t239)) % 171.50/172.73 (define @t325 () (forall @t242 (or (not (tptp.mrel @t6 @t239)) @t324))) % 171.50/172.73 (define @t326 () (not @t325)) % 171.50/172.73 (define @t327 () (tptp.qmltpeq @t285 tptp.e0 @t243)) % 171.50/172.73 (define @t328 () (forall @t246 (or (not (tptp.mrel @t6 @t243)) @t327))) % 171.50/172.73 (define @t329 () (not @t328)) % 171.50/172.73 (define @t330 () (tptp.qmltpeq @t289 tptp.e0 @t247)) % 171.50/172.73 (define @t331 () (forall @t250 (or (not (tptp.mrel @t6 @t247)) @t330))) % 171.50/172.73 (define @t332 () (not @t331)) % 171.50/172.73 (define @t333 () (tptp.qmltpeq @t293 tptp.e0 @t251)) % 171.50/172.73 (define @t334 () (forall @t254 (or (not (tptp.mrel @t6 @t251)) @t333))) % 171.50/172.73 (define @t335 () (not @t334)) % 171.50/172.73 (define @t336 () (or @t335 @t332 @t329 @t326)) % 171.50/172.73 (define @t337 () (and @t336 @t323 @t310 @t297)) % 171.50/172.73 (define @t338 () (not (tptp.mrel tptp.mactual @t6))) % 171.50/172.73 (define @t339 () (tptp.qmltpeq @t281 tptp.e3 @t6)) % 171.50/172.73 (define @t340 () (tptp.qmltpeq @t285 tptp.e3 @t6)) % 171.50/172.73 (define @t341 () (tptp.qmltpeq @t289 tptp.e3 @t6)) % 171.50/172.73 (define @t342 () (tptp.qmltpeq @t293 tptp.e3 @t6)) % 171.50/172.73 (define @t343 () (tptp.qmltpeq @t281 tptp.e2 @t6)) % 171.50/172.73 (define @t344 () (tptp.qmltpeq @t285 tptp.e2 @t6)) % 171.50/172.73 (define @t345 () (tptp.qmltpeq @t289 tptp.e2 @t6)) % 171.50/172.73 (define @t346 () (tptp.qmltpeq @t293 tptp.e2 @t6)) % 171.50/172.73 (define @t347 () (tptp.qmltpeq @t281 tptp.e1 @t6)) % 171.50/172.73 (define @t348 () (tptp.qmltpeq @t285 tptp.e1 @t6)) % 171.50/172.73 (define @t349 () (tptp.qmltpeq @t289 tptp.e1 @t6)) % 171.50/172.73 (define @t350 () (tptp.qmltpeq @t293 tptp.e1 @t6)) % 171.50/172.73 (define @t351 () (tptp.qmltpeq @t281 tptp.e0 @t6)) % 171.50/172.73 (define @t352 () (tptp.qmltpeq @t285 tptp.e0 @t6)) % 171.50/172.73 (define @t353 () (tptp.qmltpeq @t289 tptp.e0 @t6)) % 171.50/172.73 (define @t354 () (tptp.qmltpeq @t293 tptp.e0 @t6)) % 171.50/172.73 (define @t355 () (or (and (forall @t162 (or @t338 @t354)) (forall @t162 (or @t338 @t353)) (forall @t162 (or @t338 @t352)) (forall @t162 (or @t338 @t351))) (and (forall @t162 (or @t338 @t350)) (forall @t162 (or @t338 @t349)) (forall @t162 (or @t338 @t348)) (forall @t162 (or @t338 @t347))) (and (forall @t162 (or @t338 @t346)) (forall @t162 (or @t338 @t345)) (forall @t162 (or @t338 @t344)) (forall @t162 (or @t338 @t343))) (and (forall @t162 (or @t338 @t342)) (forall @t162 (or @t338 @t341)) (forall @t162 (or @t338 @t340)) (forall @t162 (or @t338 @t339))) (forall @t162 (or @t338 @t337)))) % 171.50/172.73 (define @t356 () (tptp.mrel @t1 @t6)) % 171.50/172.73 (define @t357 () (not @t356)) % 171.50/172.73 (define @t358 () (forall @t162 (or @t357 @t337))) % 171.50/172.73 (define @t359 () (forall @t162 (or @t357 @t339))) % 171.50/172.73 (define @t360 () (forall @t162 (or @t357 @t340))) % 171.50/172.73 (define @t361 () (forall @t162 (or @t357 @t341))) % 171.50/172.73 (define @t362 () (forall @t162 (or @t357 @t342))) % 171.50/172.73 (define @t363 () (and @t362 @t361 @t360 @t359)) % 171.50/172.73 (define @t364 () (forall @t162 (or @t357 @t343))) % 171.50/172.73 (define @t365 () (forall @t162 (or @t357 @t344))) % 171.50/172.73 (define @t366 () (forall @t162 (or @t357 @t345))) % 171.50/172.73 (define @t367 () (forall @t162 (or @t357 @t346))) % 171.50/172.73 (define @t368 () (and @t367 @t366 @t365 @t364)) % 171.50/172.73 (define @t369 () (forall @t162 (or @t357 @t347))) % 171.50/172.73 (define @t370 () (forall @t162 (or @t357 @t348))) % 171.50/172.73 (define @t371 () (forall @t162 (or @t357 @t349))) % 171.50/172.73 (define @t372 () (forall @t162 (or @t357 @t350))) % 171.50/172.73 (define @t373 () (and @t372 @t371 @t370 @t369)) % 171.50/172.73 (define @t374 () (forall @t162 (or @t357 @t351))) % 171.50/172.73 (define @t375 () (forall @t162 (or @t357 @t352))) % 171.50/172.73 (define @t376 () (forall @t162 (or @t357 @t353))) % 171.50/172.73 (define @t377 () (forall @t162 (or @t357 @t354))) % 171.50/172.73 (define @t378 () (and @t377 @t376 @t375 @t374)) % 171.50/172.73 (define @t379 () (or @t378 @t373 @t368 @t363 @t358)) % 171.50/172.73 (define @t380 () (lambda @t4 @t379)) % 171.50/172.73 (define @t381 () (_ @t380 tptp.mactual)) % 171.50/172.73 (define @t382 () (or @t373 @t368 @t363 @t358)) % 171.50/172.73 (define @t383 () (lambda @t4 @t382)) % 171.50/172.73 (define @t384 () (_ @t383 @t1)) % 171.50/172.73 (define @t385 () (or @t378 @t384)) % 171.50/172.73 (define @t386 () (lambda @t4 @t385)) % 171.50/172.73 (define @t387 () (@list @t154 @t1)) % 171.50/172.73 (define @t388 () (lambda @t387 (or @t378 @t155))) % 171.50/172.73 (define @t389 () (or @t368 @t363 @t358)) % 171.50/172.73 (define @t390 () (lambda @t4 @t389)) % 171.50/172.73 (define @t391 () (_ @t390 @t1)) % 171.50/172.73 (define @t392 () (or @t373 @t391)) % 171.50/172.73 (define @t393 () (lambda @t4 @t392)) % 171.50/172.73 (define @t394 () (lambda @t387 (or @t373 @t155))) % 171.50/172.73 (define @t395 () (or @t363 @t358)) % 171.50/172.73 (define @t396 () (lambda @t4 @t395)) % 171.50/172.73 (define @t397 () (_ @t396 @t1)) % 171.50/172.73 (define @t398 () (or @t368 @t397)) % 171.50/172.73 (define @t399 () (lambda @t4 @t398)) % 171.50/172.73 (define @t400 () (lambda @t387 (or @t368 @t155))) % 171.50/172.73 (define @t401 () (lambda @t4 @t358)) % 171.50/172.73 (define @t402 () (_ @t401 @t1)) % 171.50/172.73 (define @t403 () (or @t363 @t402)) % 171.50/172.73 (define @t404 () (lambda @t4 @t403)) % 171.50/172.73 (define @t405 () (and @t295 @t291 @t287 @t283)) % 171.50/172.73 (define @t406 () (not @t405)) % 171.50/172.73 (define @t407 () (and @t308 @t305 @t302 @t299)) % 171.50/172.73 (define @t408 () (not @t407)) % 171.50/172.73 (define @t409 () (and @t321 @t318 @t315 @t312)) % 171.50/172.73 (define @t410 () (not @t409)) % 171.50/172.73 (define @t411 () (and @t334 @t331 @t328 @t325)) % 171.50/172.73 (define @t412 () (not @t411)) % 171.50/172.73 (define @t413 () (and @t412 @t410 @t408 @t406)) % 171.50/172.73 (define @t414 () (not (or @t411 @t409 @t407 @t405))) % 171.50/172.73 (define @t415 () (or @t357 @t414)) % 171.50/172.73 (define @t416 () (@list @t6)) % 171.50/172.73 (define @t417 () (or @t378 @t373 @t368 @t363)) % 171.50/172.73 (define @t418 () (not @t417)) % 171.50/172.73 (define @t419 () (lambda @t4 @t418)) % 171.50/172.73 (define @t420 () (or @t357 (_ @t419 @t6))) % 171.50/172.73 (define @t421 () (forall @t162 @t420)) % 171.50/172.73 (define @t422 () (lambda @t4 @t421)) % 171.50/172.73 (define @t423 () (_ @t149 @t6)) % 171.50/172.73 (define @t424 () (lambda @t164 (forall @t162 (or @t357 @t423)))) % 171.50/172.73 (define @t425 () (lambda @t4 @t417)) % 171.50/172.73 (define @t426 () (_ @t425 @t1)) % 171.50/172.73 (define @t427 () (not @t426)) % 171.50/172.73 (define @t428 () (lambda @t4 @t427)) % 171.50/172.73 (define @t429 () (or @t373 @t368 @t363)) % 171.50/172.73 (define @t430 () (lambda @t4 @t429)) % 171.50/172.73 (define @t431 () (_ @t430 @t1)) % 171.50/172.73 (define @t432 () (or @t378 @t431)) % 171.50/172.73 (define @t433 () (lambda @t4 @t432)) % 171.50/172.73 (define @t434 () (or @t368 @t363)) % 171.50/172.73 (define @t435 () (lambda @t4 @t434)) % 171.50/172.73 (define @t436 () (_ @t435 @t1)) % 171.50/172.73 (define @t437 () (or @t373 @t436)) % 171.50/172.73 (define @t438 () (lambda @t4 @t437)) % 171.50/172.73 (define @t439 () (lambda @t4 @t363)) % 171.50/172.73 (define @t440 () (_ @t439 @t1)) % 171.50/172.73 (define @t441 () (or @t368 @t440)) % 171.50/172.73 (define @t442 () (lambda @t4 @t441)) % 171.50/172.73 (define @t443 () (and @t361 @t360 @t359)) % 171.50/172.73 (define @t444 () (lambda @t4 @t443)) % 171.50/172.73 (define @t445 () (_ @t444 @t1)) % 171.50/172.73 (define @t446 () (and @t362 @t445)) % 171.50/172.73 (define @t447 () (lambda @t4 @t446)) % 171.50/172.73 (define @t448 () (and @t360 @t359)) % 171.50/172.73 (define @t449 () (lambda @t4 @t448)) % 171.50/172.73 (define @t450 () (_ @t449 @t1)) % 171.50/172.73 (define @t451 () (and @t361 @t450)) % 171.50/172.73 (define @t452 () (lambda @t4 @t451)) % 171.50/172.73 (define @t453 () (lambda @t4 @t359)) % 171.50/172.73 (define @t454 () (_ @t453 @t1)) % 171.50/172.73 (define @t455 () (and @t360 @t454)) % 171.50/172.73 (define @t456 () (lambda @t4 @t455)) % 171.50/172.73 (define @t457 () (_ tptp.qmltpeq @t281)) % 171.50/172.73 (define @t458 () (_ @t34 @t6)) % 171.50/172.73 (define @t459 () (or @t357 @t458)) % 171.50/172.73 (define @t460 () (_ @t34 @t6)) % 171.50/172.73 (define @t461 () (or @t357 @t460)) % 171.50/172.73 (define @t462 () (forall @t162 @t461)) % 171.50/172.73 (define @t463 () (lambda @t4 @t462)) % 171.50/172.73 (define @t464 () (_ @t424 @t34)) % 171.50/172.73 (define @t465 () (lambda @t4 @t360)) % 171.50/172.73 (define @t466 () (_ @t465 @t1)) % 171.50/172.73 (define @t467 () (and @t466 @t155)) % 171.50/172.73 (define @t468 () (lambda @t387 @t467)) % 171.50/172.73 (define @t469 () (_ tptp.qmltpeq @t285)) % 171.50/172.73 (define @t470 () (_ @t53 @t6)) % 171.50/172.73 (define @t471 () (or @t357 @t470)) % 171.50/172.73 (define @t472 () (_ @t53 @t6)) % 171.50/172.73 (define @t473 () (or @t357 @t472)) % 171.50/172.73 (define @t474 () (forall @t162 @t473)) % 171.50/172.73 (define @t475 () (lambda @t4 @t474)) % 171.50/172.73 (define @t476 () (_ @t424 @t53)) % 171.50/172.73 (define @t477 () (lambda @t4 @t361)) % 171.50/172.73 (define @t478 () (_ @t477 @t1)) % 171.50/172.73 (define @t479 () (and @t478 @t155)) % 171.50/172.73 (define @t480 () (lambda @t387 @t479)) % 171.50/172.73 (define @t481 () (_ tptp.qmltpeq @t289)) % 171.50/172.73 (define @t482 () (_ @t72 @t6)) % 171.50/172.73 (define @t483 () (or @t357 @t482)) % 171.50/172.73 (define @t484 () (_ @t72 @t6)) % 171.50/172.73 (define @t485 () (or @t357 @t484)) % 171.50/172.73 (define @t486 () (forall @t162 @t485)) % 171.50/172.73 (define @t487 () (lambda @t4 @t486)) % 171.50/172.73 (define @t488 () (_ @t424 @t72)) % 171.50/172.73 (define @t489 () (lambda @t4 @t362)) % 171.50/172.73 (define @t490 () (_ @t489 @t1)) % 171.50/172.73 (define @t491 () (and @t490 @t155)) % 171.50/172.73 (define @t492 () (lambda @t387 @t491)) % 171.50/172.73 (define @t493 () (_ tptp.qmltpeq @t293)) % 171.50/172.73 (define @t494 () (_ @t91 @t6)) % 171.50/172.73 (define @t495 () (or @t357 @t494)) % 171.50/172.73 (define @t496 () (_ @t91 @t6)) % 171.50/172.73 (define @t497 () (or @t357 @t496)) % 171.50/172.73 (define @t498 () (forall @t162 @t497)) % 171.50/172.73 (define @t499 () (lambda @t4 @t498)) % 171.50/172.73 (define @t500 () (_ @t424 @t91)) % 171.50/172.73 (define @t501 () (lambda @t4 @t368)) % 171.50/172.73 (define @t502 () (_ @t501 @t1)) % 171.50/172.73 (define @t503 () (or @t502 @t155)) % 171.50/172.73 (define @t504 () (lambda @t387 @t503)) % 171.50/172.73 (define @t505 () (and @t366 @t365 @t364)) % 171.50/172.73 (define @t506 () (lambda @t4 @t505)) % 171.50/172.73 (define @t507 () (_ @t506 @t1)) % 171.50/172.73 (define @t508 () (and @t367 @t507)) % 171.50/172.73 (define @t509 () (lambda @t4 @t508)) % 171.50/172.73 (define @t510 () (and @t365 @t364)) % 171.50/172.73 (define @t511 () (lambda @t4 @t510)) % 171.50/172.73 (define @t512 () (_ @t511 @t1)) % 171.50/172.73 (define @t513 () (and @t366 @t512)) % 171.50/172.73 (define @t514 () (lambda @t4 @t513)) % 171.50/172.73 (define @t515 () (lambda @t4 @t364)) % 171.50/172.73 (define @t516 () (_ @t515 @t1)) % 171.50/172.73 (define @t517 () (and @t365 @t516)) % 171.50/172.73 (define @t518 () (lambda @t4 @t517)) % 171.50/172.73 (define @t519 () (_ @t36 @t6)) % 171.50/172.73 (define @t520 () (or @t357 @t519)) % 171.50/172.73 (define @t521 () (_ @t36 @t6)) % 171.50/172.73 (define @t522 () (or @t357 @t521)) % 171.50/172.73 (define @t523 () (forall @t162 @t522)) % 171.50/172.73 (define @t524 () (lambda @t4 @t523)) % 171.50/172.73 (define @t525 () (_ @t424 @t36)) % 171.50/172.73 (define @t526 () (lambda @t4 @t365)) % 171.50/172.73 (define @t527 () (_ @t526 @t1)) % 171.50/172.73 (define @t528 () (and @t527 @t155)) % 171.50/172.73 (define @t529 () (lambda @t387 @t528)) % 171.50/172.73 (define @t530 () (_ @t55 @t6)) % 171.50/172.73 (define @t531 () (or @t357 @t530)) % 171.50/172.73 (define @t532 () (_ @t55 @t6)) % 171.50/172.73 (define @t533 () (or @t357 @t532)) % 171.50/172.73 (define @t534 () (forall @t162 @t533)) % 171.50/172.73 (define @t535 () (lambda @t4 @t534)) % 171.50/172.73 (define @t536 () (_ @t424 @t55)) % 171.50/172.73 (define @t537 () (lambda @t4 @t366)) % 171.50/172.73 (define @t538 () (_ @t537 @t1)) % 171.50/172.73 (define @t539 () (and @t538 @t155)) % 171.50/172.73 (define @t540 () (lambda @t387 @t539)) % 171.50/172.73 (define @t541 () (_ @t74 @t6)) % 171.50/172.73 (define @t542 () (or @t357 @t541)) % 171.50/172.73 (define @t543 () (_ @t74 @t6)) % 171.50/172.73 (define @t544 () (or @t357 @t543)) % 171.50/172.73 (define @t545 () (forall @t162 @t544)) % 171.50/172.73 (define @t546 () (lambda @t4 @t545)) % 171.50/172.73 (define @t547 () (_ @t424 @t74)) % 171.50/172.73 (define @t548 () (lambda @t4 @t367)) % 171.50/172.73 (define @t549 () (_ @t548 @t1)) % 171.50/172.73 (define @t550 () (and @t549 @t155)) % 171.50/172.73 (define @t551 () (lambda @t387 @t550)) % 171.50/172.73 (define @t552 () (_ @t93 @t6)) % 171.50/172.73 (define @t553 () (or @t357 @t552)) % 171.50/172.73 (define @t554 () (_ @t93 @t6)) % 171.50/172.73 (define @t555 () (or @t357 @t554)) % 171.50/172.73 (define @t556 () (forall @t162 @t555)) % 171.50/172.73 (define @t557 () (lambda @t4 @t556)) % 171.50/172.73 (define @t558 () (_ @t424 @t93)) % 171.50/172.73 (define @t559 () (lambda @t4 @t373)) % 171.50/172.73 (define @t560 () (_ @t559 @t1)) % 171.50/172.73 (define @t561 () (or @t560 @t155)) % 171.50/172.73 (define @t562 () (lambda @t387 @t561)) % 171.50/172.73 (define @t563 () (and @t371 @t370 @t369)) % 171.50/172.73 (define @t564 () (lambda @t4 @t563)) % 171.50/172.73 (define @t565 () (_ @t564 @t1)) % 171.50/172.73 (define @t566 () (and @t372 @t565)) % 171.50/172.73 (define @t567 () (lambda @t4 @t566)) % 171.50/172.73 (define @t568 () (and @t370 @t369)) % 171.50/172.73 (define @t569 () (lambda @t4 @t568)) % 171.50/172.73 (define @t570 () (_ @t569 @t1)) % 171.50/172.73 (define @t571 () (and @t371 @t570)) % 171.50/172.73 (define @t572 () (lambda @t4 @t571)) % 171.50/172.73 (define @t573 () (lambda @t4 @t369)) % 171.50/172.73 (define @t574 () (_ @t573 @t1)) % 171.50/172.73 (define @t575 () (and @t370 @t574)) % 171.50/172.73 (define @t576 () (lambda @t4 @t575)) % 171.50/172.73 (define @t577 () (_ @t38 @t6)) % 171.50/172.73 (define @t578 () (or @t357 @t577)) % 171.50/172.73 (define @t579 () (_ @t38 @t6)) % 171.50/172.73 (define @t580 () (or @t357 @t579)) % 171.50/172.73 (define @t581 () (forall @t162 @t580)) % 171.50/172.73 (define @t582 () (lambda @t4 @t581)) % 171.50/172.73 (define @t583 () (_ @t424 @t38)) % 171.50/172.73 (define @t584 () (lambda @t4 @t370)) % 171.50/172.73 (define @t585 () (_ @t584 @t1)) % 171.50/172.73 (define @t586 () (and @t585 @t155)) % 171.50/172.73 (define @t587 () (lambda @t387 @t586)) % 171.50/172.73 (define @t588 () (_ @t57 @t6)) % 171.50/172.73 (define @t589 () (or @t357 @t588)) % 171.50/172.73 (define @t590 () (_ @t57 @t6)) % 171.50/172.73 (define @t591 () (or @t357 @t590)) % 171.50/172.73 (define @t592 () (forall @t162 @t591)) % 171.50/172.73 (define @t593 () (lambda @t4 @t592)) % 171.50/172.73 (define @t594 () (_ @t424 @t57)) % 171.50/172.73 (define @t595 () (lambda @t4 @t371)) % 171.50/172.73 (define @t596 () (_ @t595 @t1)) % 171.50/172.73 (define @t597 () (and @t596 @t155)) % 171.50/172.73 (define @t598 () (lambda @t387 @t597)) % 171.50/172.73 (define @t599 () (_ @t76 @t6)) % 171.50/172.73 (define @t600 () (or @t357 @t599)) % 171.50/172.73 (define @t601 () (_ @t76 @t6)) % 171.50/172.73 (define @t602 () (or @t357 @t601)) % 171.50/172.73 (define @t603 () (forall @t162 @t602)) % 171.50/172.73 (define @t604 () (lambda @t4 @t603)) % 171.50/172.73 (define @t605 () (_ @t424 @t76)) % 171.50/172.73 (define @t606 () (lambda @t4 @t372)) % 171.50/172.73 (define @t607 () (_ @t606 @t1)) % 171.50/172.73 (define @t608 () (and @t607 @t155)) % 171.50/172.73 (define @t609 () (lambda @t387 @t608)) % 171.50/172.73 (define @t610 () (_ @t95 @t6)) % 171.50/172.73 (define @t611 () (or @t357 @t610)) % 171.50/172.73 (define @t612 () (_ @t95 @t6)) % 171.50/172.73 (define @t613 () (or @t357 @t612)) % 171.50/172.73 (define @t614 () (forall @t162 @t613)) % 171.50/172.73 (define @t615 () (lambda @t4 @t614)) % 171.50/172.73 (define @t616 () (_ @t424 @t95)) % 171.50/172.73 (define @t617 () (lambda @t4 @t378)) % 171.50/172.73 (define @t618 () (_ @t617 @t1)) % 171.50/172.73 (define @t619 () (or @t618 @t155)) % 171.50/172.73 (define @t620 () (lambda @t387 @t619)) % 171.50/172.73 (define @t621 () (and @t376 @t375 @t374)) % 171.50/172.73 (define @t622 () (lambda @t4 @t621)) % 171.50/172.73 (define @t623 () (_ @t622 @t1)) % 171.50/172.73 (define @t624 () (and @t377 @t623)) % 171.50/172.73 (define @t625 () (lambda @t4 @t624)) % 171.50/172.73 (define @t626 () (and @t375 @t374)) % 171.50/172.73 (define @t627 () (lambda @t4 @t626)) % 171.50/172.73 (define @t628 () (_ @t627 @t1)) % 171.50/172.73 (define @t629 () (and @t376 @t628)) % 171.50/172.73 (define @t630 () (lambda @t4 @t629)) % 171.50/172.73 (define @t631 () (lambda @t4 @t374)) % 171.50/172.73 (define @t632 () (_ @t631 @t1)) % 171.50/172.73 (define @t633 () (and @t375 @t632)) % 171.50/172.73 (define @t634 () (lambda @t4 @t633)) % 171.50/172.73 (define @t635 () (_ @t40 @t6)) % 171.50/172.73 (define @t636 () (or @t357 @t635)) % 171.50/172.73 (define @t637 () (_ @t40 @t6)) % 171.50/172.73 (define @t638 () (or @t357 @t637)) % 171.50/172.73 (define @t639 () (forall @t162 @t638)) % 171.50/172.73 (define @t640 () (lambda @t4 @t639)) % 171.50/172.73 (define @t641 () (_ @t424 @t40)) % 171.50/172.73 (define @t642 () (lambda @t4 @t375)) % 171.50/172.73 (define @t643 () (_ @t642 @t1)) % 171.50/172.73 (define @t644 () (and @t643 @t155)) % 171.50/172.73 (define @t645 () (lambda @t387 @t644)) % 171.50/172.73 (define @t646 () (_ @t59 @t6)) % 171.50/172.73 (define @t647 () (or @t357 @t646)) % 171.50/172.73 (define @t648 () (_ @t59 @t6)) % 171.50/172.73 (define @t649 () (or @t357 @t648)) % 171.50/172.73 (define @t650 () (forall @t162 @t649)) % 171.50/172.73 (define @t651 () (lambda @t4 @t650)) % 171.50/172.73 (define @t652 () (_ @t424 @t59)) % 171.50/172.73 (define @t653 () (lambda @t4 @t376)) % 171.50/172.73 (define @t654 () (_ @t653 @t1)) % 171.50/172.73 (define @t655 () (and @t654 @t155)) % 171.50/172.73 (define @t656 () (lambda @t387 @t655)) % 171.50/172.73 (define @t657 () (_ @t78 @t6)) % 171.50/172.73 (define @t658 () (or @t357 @t657)) % 171.50/172.73 (define @t659 () (_ @t78 @t6)) % 171.50/172.73 (define @t660 () (or @t357 @t659)) % 171.50/172.73 (define @t661 () (forall @t162 @t660)) % 171.50/172.73 (define @t662 () (lambda @t4 @t661)) % 171.50/172.73 (define @t663 () (_ @t424 @t78)) % 171.50/172.73 (define @t664 () (lambda @t4 @t377)) % 171.50/172.73 (define @t665 () (_ @t664 @t1)) % 171.50/172.73 (define @t666 () (and @t665 @t155)) % 171.50/172.73 (define @t667 () (lambda @t387 @t666)) % 171.50/172.73 (define @t668 () (_ @t97 @t6)) % 171.50/172.73 (define @t669 () (or @t357 @t668)) % 171.50/172.73 (define @t670 () (_ @t97 @t6)) % 171.50/172.73 (define @t671 () (or @t357 @t670)) % 171.50/172.73 (define @t672 () (forall @t162 @t671)) % 171.50/172.73 (define @t673 () (lambda @t4 @t672)) % 171.50/172.73 (define @t674 () (_ @t424 @t97)) % 171.50/172.73 (define @t675 () (or @t440 @t155)) % 171.50/172.73 (define @t676 () (lambda @t387 @t675)) % 171.50/172.73 (define @t677 () (_ (_ @t157 @t500) (_ (_ @t157 @t488) (_ (_ @t157 @t476) @t464)))) % 171.50/172.73 (define @t678 () (_ @t158 (_ (_ @t157 @t558) (_ (_ @t157 @t547) (_ (_ @t157 @t536) @t525))))) % 171.50/172.73 (define @t679 () (_ @t158 (_ (_ @t157 @t616) (_ (_ @t157 @t605) (_ (_ @t157 @t594) @t583))))) % 171.50/172.73 (define @t680 () (_ @t158 (_ (_ @t157 @t674) (_ (_ @t157 @t663) (_ (_ @t157 @t652) @t641))))) % 171.50/172.73 (define @t681 () (not @t9)) % 171.50/172.73 (define @t682 () (or @t681 @t161)) % 171.50/172.73 (define @t683 () (_ @t176 @t255 @t258)) % 171.50/172.73 (define @t684 () (forall @t191 (or (not (_ @t176 @t259 @t178)) @t187))) % 171.50/172.73 (define @t685 () (not @t684)) % 171.50/172.73 (define @t686 () (forall @t196 (or (not (_ @t176 @t259 @t192)) @t195))) % 171.50/172.73 (define @t687 () (not @t686)) % 171.50/172.73 (define @t688 () (forall @t201 (or (not (_ @t176 @t259 @t197)) @t200))) % 171.50/172.73 (define @t689 () (not @t688)) % 171.50/172.73 (define @t690 () (forall @t206 (or (not (_ @t176 @t259 @t202)) @t205))) % 171.50/172.73 (define @t691 () (not @t690)) % 171.50/172.73 (define @t692 () (or @t691 @t689 @t687 @t685)) % 171.50/172.73 (define @t693 () (forall @t210 (or (not (_ @t176 @t259 @t207)) @t209))) % 171.50/172.73 (define @t694 () (not @t693)) % 171.50/172.73 (define @t695 () (forall @t214 (or (not (_ @t176 @t259 @t211)) @t213))) % 171.50/172.73 (define @t696 () (not @t695)) % 171.50/172.73 (define @t697 () (forall @t218 (or (not (_ @t176 @t259 @t215)) @t217))) % 171.50/172.73 (define @t698 () (not @t697)) % 171.50/172.73 (define @t699 () (forall @t222 (or (not (_ @t176 @t259 @t219)) @t221))) % 171.50/172.73 (define @t700 () (not @t699)) % 171.50/172.73 (define @t701 () (or @t700 @t698 @t696 @t694)) % 171.50/172.73 (define @t702 () (forall @t226 (or (not (_ @t176 @t259 @t223)) @t225))) % 171.50/172.73 (define @t703 () (not @t702)) % 171.50/172.73 (define @t704 () (forall @t230 (or (not (_ @t176 @t259 @t227)) @t229))) % 171.50/172.73 (define @t705 () (not @t704)) % 171.50/172.73 (define @t706 () (forall @t234 (or (not (_ @t176 @t259 @t231)) @t233))) % 171.50/172.73 (define @t707 () (not @t706)) % 171.50/172.73 (define @t708 () (forall @t238 (or (not (_ @t176 @t259 @t235)) @t237))) % 171.50/172.73 (define @t709 () (not @t708)) % 171.50/172.73 (define @t710 () (or @t709 @t707 @t705 @t703)) % 171.50/172.73 (define @t711 () (forall @t242 (or (not (_ @t176 @t259 @t239)) @t241))) % 171.50/172.73 (define @t712 () (not @t711)) % 171.50/172.73 (define @t713 () (forall @t246 (or (not (_ @t176 @t259 @t243)) @t245))) % 171.50/172.73 (define @t714 () (not @t713)) % 171.50/172.73 (define @t715 () (forall @t250 (or (not (_ @t176 @t259 @t247)) @t249))) % 171.50/172.73 (define @t716 () (not @t715)) % 171.50/172.73 (define @t717 () (forall @t254 (or (not (_ @t176 @t259 @t251)) @t253))) % 171.50/172.73 (define @t718 () (not @t717)) % 171.50/172.73 (define @t719 () (or @t718 @t716 @t714 @t712)) % 171.50/172.73 (define @t720 () (and @t719 @t710 @t701 @t692)) % 171.50/172.73 (define @t721 () (not @t683)) % 171.50/172.73 (define @t722 () (or @t721 @t720)) % 171.50/172.73 (define @t723 () (@list true)) % 171.50/172.73 (define @t724 () (@list @t722)) % 171.50/172.73 (define @t725 () (_ @t189 @t188 @t1)) % 171.50/172.73 (define @t726 () (tptp.mrel @t7 @t6)) % 171.50/172.73 (define @t727 () (tptp.mrel @t1 @t7)) % 171.50/172.73 (define @t728 () (not @t10)) % 171.50/172.73 (define @t729 () (or @t728 @t681 @t8)) % 171.50/172.73 (define @t730 () (not @t263)) % 171.50/172.73 (define @t731 () (or @t721 @t730 @t262)) % 171.50/172.73 (define @t732 () (tptp.mrel @t1 @t1)) % 171.50/172.73 (define @t733 () (_ @t176 @t259 tptp.mactual)) % 171.50/172.73 (define @t734 () (_ @t176 @t255 tptp.mactual)) % 171.50/172.73 (define @t735 () (not @t734)) % 171.50/172.73 (define @t736 () (or @t721 @t735 @t733)) % 171.50/172.73 (define @t737 () (@list false false false)) % 171.50/172.73 (define @t738 () (not @t262)) % 171.50/172.73 (define @t739 () (not @t733)) % 171.50/172.73 (define @t740 () (or @t739 @t738 @t263)) % 171.50/172.73 (define @t741 () (not @t264)) % 171.50/172.73 (define @t742 () (not @t260)) % 171.50/172.73 (define @t743 () (@list false)) % 171.50/172.73 (define @t744 () (= @t255 @t259)) % 171.50/172.73 (define @t745 () (or @t742 @t744)) % 171.50/172.73 (define @t746 () (@quantifiers_skolemize @t277 0)) % 171.50/172.73 (define @t747 () (_ @t176 @t255 @t746)) % 171.50/172.73 (define @t748 () (_ @t176 @t240 @t746)) % 171.50/172.73 (define @t749 () (not @t747)) % 171.50/172.73 (define @t750 () (or @t749 @t748)) % 171.50/172.73 (define @t751 () (_ @t176 @t259 @t746)) % 171.50/172.73 (define @t752 () (not @t744)) % 171.50/172.73 (define @t753 () (not @t751)) % 171.50/172.73 (define @t754 () (= true false)) % 171.50/172.73 (define @t755 () (and @t753 @t744 @t747)) % 171.50/172.73 (define @t756 () (@quantifiers_skolemize @t268 0)) % 171.50/172.73 (define @t757 () (_ @t176 @t204 @t756)) % 171.50/172.73 (define @t758 () (_ @t176 @t259 @t756)) % 171.50/172.73 (define @t759 () (not @t758)) % 171.50/172.73 (define @t760 () (or @t759 @t757)) % 171.50/172.73 (define @t761 () (_ @t176 @t255 @t756)) % 171.50/172.73 (define @t762 () (not @t761)) % 171.50/172.73 (define @t763 () (or @t762 @t757)) % 171.50/172.73 (define @t764 () (not @t760)) % 171.50/172.73 (define @t765 () (and @t761 @t744)) % 171.50/172.73 (define @t766 () (@list false true true false)) % 171.50/172.73 (define @t767 () (not @t763)) % 171.50/172.73 (define @t768 () (not @t268)) % 171.50/172.73 (define @t769 () (@quantifiers_skolemize @t267 0)) % 171.50/172.73 (define @t770 () (_ @t176 @t199 @t769)) % 171.50/172.73 (define @t771 () (_ @t176 @t259 @t769)) % 171.50/172.73 (define @t772 () (not @t771)) % 171.50/172.73 (define @t773 () (or @t772 @t770)) % 171.50/172.73 (define @t774 () (_ @t176 @t255 @t769)) % 171.50/172.73 (define @t775 () (not @t774)) % 171.50/172.73 (define @t776 () (or @t775 @t770)) % 171.50/172.73 (define @t777 () (not @t773)) % 171.50/172.73 (define @t778 () (and @t744 @t774)) % 171.50/172.73 (define @t779 () (not @t776)) % 171.50/172.73 (define @t780 () (not @t267)) % 171.50/172.73 (define @t781 () (@quantifiers_skolemize @t266 0)) % 171.50/172.73 (define @t782 () (_ @t176 @t194 @t781)) % 171.50/172.73 (define @t783 () (_ @t176 @t259 @t781)) % 171.50/172.73 (define @t784 () (not @t783)) % 171.50/172.73 (define @t785 () (or @t784 @t782)) % 171.50/172.73 (define @t786 () (_ @t176 @t255 @t781)) % 171.50/172.73 (define @t787 () (not @t786)) % 171.50/172.73 (define @t788 () (or @t787 @t782)) % 171.50/172.73 (define @t789 () (not @t785)) % 171.50/172.73 (define @t790 () (and @t744 @t786)) % 171.50/172.73 (define @t791 () (not @t788)) % 171.50/172.73 (define @t792 () (not @t266)) % 171.50/172.73 (define @t793 () (@quantifiers_skolemize @t265 0)) % 171.50/172.73 (define @t794 () (_ @t176 @t186 @t793)) % 171.50/172.73 (define @t795 () (_ @t176 @t255 @t793)) % 171.50/172.73 (define @t796 () (not @t795)) % 171.50/172.73 (define @t797 () (or @t796 @t794)) % 171.50/172.73 (define @t798 () (not @t797)) % 171.50/172.73 (define @t799 () (not @t265)) % 171.50/172.73 (define @t800 () (_ @t176 @t259 @t793)) % 171.50/172.73 (define @t801 () (not @t800)) % 171.50/172.73 (define @t802 () (or @t801 @t794)) % 171.50/172.73 (define @t803 () (and @t801 @t744 @t795)) % 171.50/172.73 (define @t804 () (@list false true false true false true true false false false false false false false false false false false false false)) % 171.50/172.73 (define @t805 () (@quantifiers_skolemize @t272 0)) % 171.50/172.73 (define @t806 () (_ @t176 @t220 @t805)) % 171.50/172.73 (define @t807 () (_ @t176 @t259 @t805)) % 171.50/172.73 (define @t808 () (not @t807)) % 171.50/172.73 (define @t809 () (or @t808 @t806)) % 171.50/172.73 (define @t810 () (_ @t176 @t255 @t805)) % 171.50/172.73 (define @t811 () (not @t810)) % 171.50/172.73 (define @t812 () (or @t811 @t806)) % 171.50/172.73 (define @t813 () (and @t808 @t744 @t810)) % 171.50/172.73 (define @t814 () (not @t809)) % 171.50/172.73 (define @t815 () (@list false false true false)) % 171.50/172.73 (define @t816 () (not @t812)) % 171.50/172.73 (define @t817 () (not @t272)) % 171.50/172.73 (define @t818 () (@quantifiers_skolemize @t271 0)) % 171.50/172.73 (define @t819 () (_ @t176 @t216 @t818)) % 171.50/172.73 (define @t820 () (_ @t176 @t259 @t818)) % 171.50/172.73 (define @t821 () (not @t820)) % 171.50/172.73 (define @t822 () (or @t821 @t819)) % 171.50/172.73 (define @t823 () (_ @t176 @t255 @t818)) % 171.50/172.73 (define @t824 () (not @t823)) % 171.50/172.73 (define @t825 () (or @t824 @t819)) % 171.50/172.73 (define @t826 () (not @t822)) % 171.50/172.73 (define @t827 () (and @t744 @t823)) % 171.50/172.73 (define @t828 () (not @t825)) % 171.50/172.73 (define @t829 () (not @t271)) % 171.50/172.73 (define @t830 () (@quantifiers_skolemize @t270 0)) % 171.50/172.73 (define @t831 () (_ @t176 @t212 @t830)) % 171.50/172.73 (define @t832 () (_ @t176 @t259 @t830)) % 171.50/172.73 (define @t833 () (not @t832)) % 171.50/172.73 (define @t834 () (or @t833 @t831)) % 171.50/172.73 (define @t835 () (_ @t176 @t255 @t830)) % 171.50/172.73 (define @t836 () (not @t835)) % 171.50/172.73 (define @t837 () (or @t836 @t831)) % 171.50/172.73 (define @t838 () (not @t834)) % 171.50/172.73 (define @t839 () (and @t744 @t835)) % 171.50/172.73 (define @t840 () (not @t837)) % 171.50/172.73 (define @t841 () (not @t270)) % 171.50/172.73 (define @t842 () (@quantifiers_skolemize @t269 0)) % 171.50/172.73 (define @t843 () (_ @t176 @t208 @t842)) % 171.50/172.73 (define @t844 () (_ @t176 @t255 @t842)) % 171.50/172.73 (define @t845 () (not @t844)) % 171.50/172.73 (define @t846 () (or @t845 @t843)) % 171.50/172.73 (define @t847 () (not @t846)) % 171.50/172.73 (define @t848 () (not @t269)) % 171.50/172.73 (define @t849 () (_ @t176 @t259 @t842)) % 171.50/172.73 (define @t850 () (not @t849)) % 171.50/172.73 (define @t851 () (or @t850 @t843)) % 171.50/172.73 (define @t852 () (and @t850 @t744 @t844)) % 171.50/172.73 (define @t853 () (@quantifiers_skolemize @t276 0)) % 171.50/172.73 (define @t854 () (_ @t176 @t236 @t853)) % 171.50/172.73 (define @t855 () (_ @t176 @t259 @t853)) % 171.50/172.73 (define @t856 () (not @t855)) % 171.50/172.73 (define @t857 () (or @t856 @t854)) % 171.50/172.73 (define @t858 () (_ @t176 @t255 @t853)) % 171.50/172.73 (define @t859 () (not @t858)) % 171.50/172.73 (define @t860 () (or @t859 @t854)) % 171.50/172.73 (define @t861 () (and @t856 @t744 @t858)) % 171.50/172.73 (define @t862 () (not @t857)) % 171.50/172.73 (define @t863 () (not @t860)) % 171.50/172.73 (define @t864 () (not @t276)) % 171.50/172.73 (define @t865 () (@quantifiers_skolemize @t275 0)) % 171.50/172.73 (define @t866 () (_ @t176 @t232 @t865)) % 171.50/172.73 (define @t867 () (_ @t176 @t259 @t865)) % 171.50/172.73 (define @t868 () (not @t867)) % 171.50/172.73 (define @t869 () (or @t868 @t866)) % 171.50/172.73 (define @t870 () (_ @t176 @t255 @t865)) % 171.50/172.73 (define @t871 () (not @t870)) % 171.50/172.73 (define @t872 () (or @t871 @t866)) % 171.50/172.73 (define @t873 () (not @t869)) % 171.50/172.73 (define @t874 () (and @t744 @t870)) % 171.50/172.73 (define @t875 () (not @t872)) % 171.50/172.73 (define @t876 () (not @t275)) % 171.50/172.73 (define @t877 () (@quantifiers_skolemize @t274 0)) % 171.50/172.73 (define @t878 () (_ @t176 @t228 @t877)) % 171.50/172.73 (define @t879 () (_ @t176 @t259 @t877)) % 171.50/172.73 (define @t880 () (not @t879)) % 171.50/172.73 (define @t881 () (or @t880 @t878)) % 171.50/172.73 (define @t882 () (_ @t176 @t255 @t877)) % 171.50/172.73 (define @t883 () (not @t882)) % 171.50/172.73 (define @t884 () (or @t883 @t878)) % 171.50/172.73 (define @t885 () (not @t881)) % 171.50/172.73 (define @t886 () (and @t744 @t882)) % 171.50/172.73 (define @t887 () (not @t884)) % 171.50/172.73 (define @t888 () (not @t274)) % 171.50/172.73 (define @t889 () (@quantifiers_skolemize @t273 0)) % 171.50/172.73 (define @t890 () (_ @t176 @t224 @t889)) % 171.50/172.73 (define @t891 () (_ @t176 @t255 @t889)) % 171.50/172.73 (define @t892 () (not @t891)) % 171.50/172.73 (define @t893 () (or @t892 @t890)) % 171.50/172.73 (define @t894 () (not @t893)) % 171.50/172.73 (define @t895 () (not @t273)) % 171.50/172.73 (define @t896 () (_ @t176 @t259 @t889)) % 171.50/172.73 (define @t897 () (not @t896)) % 171.50/172.73 (define @t898 () (or @t897 @t890)) % 171.50/172.73 (define @t899 () (and @t897 @t744 @t891)) % 171.50/172.73 (define @t900 () (@list @t719)) % 171.50/172.73 (define @t901 () (or @t753 @t748)) % 171.50/172.73 (define @t902 () (not @t750)) % 171.50/172.73 (define @t903 () (not @t277)) % 171.50/172.73 (define @t904 () (@quantifiers_skolemize @t278 0)) % 171.50/172.73 (define @t905 () (_ @t176 @t255 @t904)) % 171.50/172.73 (define @t906 () (_ @t176 @t244 @t904)) % 171.50/172.73 (define @t907 () (not @t905)) % 171.50/172.73 (define @t908 () (or @t907 @t906)) % 171.50/172.73 (define @t909 () (_ @t176 @t259 @t904)) % 171.50/172.73 (define @t910 () (not @t909)) % 171.50/172.73 (define @t911 () (or @t910 @t906)) % 171.50/172.73 (define @t912 () (and @t744 @t905)) % 171.50/172.73 (define @t913 () (@list false true false true false)) % 171.50/172.73 (define @t914 () (not @t908)) % 171.50/172.73 (define @t915 () (not @t278)) % 171.50/172.73 (define @t916 () (@quantifiers_skolemize @t279 0)) % 171.50/172.73 (define @t917 () (_ @t176 @t255 @t916)) % 171.50/172.73 (define @t918 () (_ @t176 @t248 @t916)) % 171.50/172.73 (define @t919 () (not @t917)) % 171.50/172.73 (define @t920 () (or @t919 @t918)) % 171.50/172.73 (define @t921 () (_ @t176 @t259 @t916)) % 171.50/172.73 (define @t922 () (not @t921)) % 171.50/172.73 (define @t923 () (or @t922 @t918)) % 171.50/172.73 (define @t924 () (and @t744 @t917)) % 171.50/172.73 (define @t925 () (not @t920)) % 171.50/172.73 (define @t926 () (not @t279)) % 171.50/172.73 (define @t927 () (not @t280)) % 171.50/172.73 (define @t928 () (@quantifiers_skolemize @t280 0)) % 171.50/172.73 (define @t929 () (_ @t176 @t252 @t928)) % 171.50/172.73 (define @t930 () (_ @t176 @t255 @t928)) % 171.50/172.73 (define @t931 () (not @t930)) % 171.50/172.73 (define @t932 () (or @t931 @t929)) % 171.50/172.73 (define @t933 () (not @t932)) % 171.50/172.73 (define @t934 () (@list @t932)) % 171.50/172.73 (define @t935 () (_ @t176 @t259 @t928)) % 171.50/172.73 (define @t936 () (not @t935)) % 171.50/172.73 (define @t937 () (or @t936 @t929)) % 171.50/172.73 (define @t938 () (and @t936 @t744 @t930)) % 171.50/172.73 (assume @p1 @t5) % 171.50/172.73 (assume @p2 @t13) % 171.50/172.73 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ @t16 @t15)) @t14)))))) % 171.50/172.73 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t20) (_ tptp.mbox (_ @t19 @t15)))) @t14)))) @t14)))))) % 171.50/172.73 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t21 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda (@list @t22 @t14) (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand @t20) (_ tptp.mbox (_ @t19 @t22)))) (_ tptp.mbox (_ @t16 @t22)))) @t14)))) @t14)))) @t14)))))) % 171.50/172.73 (assume @p6 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t25 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv @t24)) (_ tptp.inv @t23))))) @t14)))) @t14)))))) % 171.50/172.73 (assume @p7 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t29 (_ (_ tptp.mbox (_ @t25 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.op @t24) @t28)) (_ (_ tptp.op @t23) @t28))))) @t14)))) @t14)))) @t14)))))) % 171.50/172.73 (assume @p8 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t29 (_ (_ tptp.mbox (_ @t25 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t30 @t24)) (_ @t30 @t23))))) @t14)))) @t14)))) @t14)))))) % 171.50/172.73 (assume @p9 (_ tptp.mlocal (_ (_ tptp.mand (_ (_ tptp.mor @t98) (_ (_ tptp.mor @t96) (_ (_ tptp.mor @t94) @t92)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t88 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t88 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t88 tptp.e2))) (_ tptp.mbox (_ @t88 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t86 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t86 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t86 tptp.e2))) (_ tptp.mbox (_ @t86 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t84 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t84 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t84 tptp.e2))) (_ tptp.mbox (_ @t84 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t81 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t81 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t81 tptp.e2))) (_ tptp.mbox (_ @t81 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor @t79) (_ (_ tptp.mor @t77) (_ (_ tptp.mor @t75) @t73)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t69 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t69 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t69 tptp.e2))) (_ tptp.mbox (_ @t69 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t67 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t67 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t67 tptp.e2))) (_ tptp.mbox (_ @t67 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t64 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t64 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t64 tptp.e2))) (_ tptp.mbox (_ @t64 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t62 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t62 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t62 tptp.e2))) (_ tptp.mbox (_ @t62 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor @t60) (_ (_ tptp.mor @t58) (_ (_ tptp.mor @t56) @t54)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t50 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t50 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t50 tptp.e2))) (_ tptp.mbox (_ @t50 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t47 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t47 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t47 tptp.e2))) (_ tptp.mbox (_ @t47 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t45 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t45 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t45 tptp.e2))) (_ tptp.mbox (_ @t45 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox (_ @t43 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox (_ @t43 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t43 tptp.e2))) (_ tptp.mbox (_ @t43 tptp.e3)))))) (_ (_ tptp.mor @t41) (_ (_ tptp.mor @t39) (_ (_ tptp.mor @t37) @t35)))))))))))))))))))) % 171.50/172.73 (assume @p10 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t114 tptp.e0)) (_ @t82 @t89)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t114 tptp.e1)) (_ @t82 @t87)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t114 tptp.e2)) (_ @t82 @t85)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t114 tptp.e3)) (_ @t82 @t83)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t113 tptp.e0)) (_ @t82 @t80)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t113 tptp.e1)) (_ @t82 @t70)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t113 tptp.e2)) (_ @t82 @t68)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t113 tptp.e3)) (_ @t82 @t66)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t112 tptp.e0)) (_ @t82 @t63)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t112 tptp.e1)) (_ @t82 @t61)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t112 tptp.e2)) (_ @t82 @t51)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t112 tptp.e3)) (_ @t82 @t49)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t111 tptp.e0)) (_ @t82 @t46)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t111 tptp.e1)) (_ @t82 @t44)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t111 tptp.e2)) (_ @t82 @t42)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t111 tptp.e3)) (_ @t82 @t32)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t110 tptp.e0)) (_ @t65 @t89)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t110 tptp.e1)) (_ @t65 @t87)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t110 tptp.e2)) (_ @t65 @t85)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t110 tptp.e3)) (_ @t65 @t83)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t109 tptp.e0)) (_ @t65 @t80)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t109 tptp.e1)) (_ @t65 @t70)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t109 tptp.e2)) (_ @t65 @t68)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t109 tptp.e3)) (_ @t65 @t66)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t108 tptp.e0)) (_ @t65 @t63)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t108 tptp.e1)) (_ @t65 @t61)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t108 tptp.e2)) (_ @t65 @t51)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t108 tptp.e3)) (_ @t65 @t49)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t107 tptp.e0)) (_ @t65 @t46)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t107 tptp.e1)) (_ @t65 @t44)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t107 tptp.e2)) (_ @t65 @t42)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t107 tptp.e3)) (_ @t65 @t32)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t106 tptp.e0)) (_ @t48 @t89)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t106 tptp.e1)) (_ @t48 @t87)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t106 tptp.e2)) (_ @t48 @t85)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t106 tptp.e3)) (_ @t48 @t83)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t105 tptp.e0)) (_ @t48 @t80)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t105 tptp.e1)) (_ @t48 @t70)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t105 tptp.e2)) (_ @t48 @t68)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t105 tptp.e3)) (_ @t48 @t66)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t104 tptp.e0)) (_ @t48 @t63)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t104 tptp.e1)) (_ @t48 @t61)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t104 tptp.e2)) (_ @t48 @t51)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t104 tptp.e3)) (_ @t48 @t49)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t103 tptp.e0)) (_ @t48 @t46)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t103 tptp.e1)) (_ @t48 @t44)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t103 tptp.e2)) (_ @t48 @t42)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t103 tptp.e3)) (_ @t48 @t32)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t102 tptp.e0)) (_ @t31 @t89)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t102 tptp.e1)) (_ @t31 @t87)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t102 tptp.e2)) (_ @t31 @t85)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t102 tptp.e3)) (_ @t31 @t83)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t101 tptp.e0)) (_ @t31 @t80)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t101 tptp.e1)) (_ @t31 @t70)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t101 tptp.e2)) (_ @t31 @t68)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t101 tptp.e3)) (_ @t31 @t66)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t100 tptp.e0)) (_ @t31 @t63)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t100 tptp.e1)) (_ @t31 @t61)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t100 tptp.e2)) (_ @t31 @t51)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t100 tptp.e3)) (_ @t31 @t49)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t99 tptp.e0)) (_ @t31 @t46)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t99 tptp.e1)) (_ @t31 @t44)))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t99 tptp.e2)) (_ @t31 @t42)))) (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t99 tptp.e3)) (_ @t31 @t32)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) % 171.50/172.73 (assume @p11 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t117 tptp.e0)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t82 tptp.unit)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t117 tptp.e1)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t65 tptp.unit)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t117 tptp.e2)) tptp.e2))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t48 tptp.unit)) tptp.e2))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t117 tptp.e3)) tptp.e3))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t31 tptp.unit)) tptp.e3))) (_ (_ tptp.mor @t116) (_ (_ tptp.mor (_ tptp.mbox (_ @t115 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox (_ @t115 tptp.e2))) (_ tptp.mbox (_ @t115 tptp.e3))))))))))))))) % 171.50/172.73 (assume @p12 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t82 @t136)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.op @t136) tptp.e0)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t65 @t130)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.op @t130) tptp.e1)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t48 @t124)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.op @t124) tptp.e2)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t31 @t118)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.op @t118) tptp.e3)) tptp.unit))) (_ (_ tptp.mand (_ (_ tptp.mor @t141) (_ (_ tptp.mor @t140) (_ (_ tptp.mor @t139) @t138)))) (_ (_ tptp.mand (_ (_ tptp.mor @t135) (_ (_ tptp.mor @t134) (_ (_ tptp.mor @t133) @t132)))) (_ (_ tptp.mand (_ (_ tptp.mor @t129) (_ (_ tptp.mor @t128) (_ (_ tptp.mor @t127) @t126)))) (_ (_ tptp.mor @t123) (_ (_ tptp.mor @t122) (_ (_ tptp.mor @t121) @t120)))))))))))))))) % 171.50/172.73 (assume @p13 (_ tptp.mlocal @t116)) % 171.50/172.73 (assume @p14 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv tptp.unit)) tptp.unit)))) % 171.50/172.73 (assume @p15 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv @t136)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv @t130)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv @t124)) tptp.e2))) (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inv @t118)) tptp.e3))))))) % 171.50/172.73 (assume @p16 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t141) @t141))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t140) @t135))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t139) @t129))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t138) @t123))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t135) @t140))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t134) @t134))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t133) @t128))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t132) @t122))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t129) @t139))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t128) @t133))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t127) @t127))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t126) @t121))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t123) @t138))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t122) @t132))) (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t121) @t126))) (_ tptp.mbox (_ (_ tptp.mimplies @t120) @t120))))))))))))))))))) % 171.50/172.73 (assume @p17 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t137 @t130))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t137 @t124))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t137 @t118))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t131 @t124))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t131 @t118))))) (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t125 @t118))))))))))) % 171.50/172.73 (assume @p18 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t80))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t63))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t46))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 @t63))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 @t46))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t64 @t46))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t88 @t70))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t88 @t61))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t88 @t44))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t71 @t61))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t71 @t44))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t62 @t44))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t86 @t68))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t86 @t51))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t86 @t42))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t69 @t51))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t69 @t42))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t52 @t42))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t84 @t66))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t84 @t49))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t84 @t32))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t67 @t49))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t67 @t32))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t50 @t32))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t87))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t85))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t90 @t83))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t88 @t85))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t88 @t83))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t86 @t83))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 @t70))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 @t68))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 @t66))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t71 @t68))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t71 @t66))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t69 @t66))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t64 @t61))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t64 @t51))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t64 @t49))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t62 @t51))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t62 @t49))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t52 @t49))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t47 @t44))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t47 @t42))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t47 @t32))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t45 @t42))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t45 @t32))))) (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t43 @t32))))))))))))))))))))))))))))))))))))))))))))))))))))) % 171.50/172.73 (assume @p19 (_ tptp.mlocal (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t143 tptp.e1))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t143 tptp.e2))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t143 tptp.e3))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t142 tptp.e2))))) (_ (_ tptp.mand (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t142 tptp.e3))))) (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ (_ tptp.qmltpeq tptp.e2) tptp.e3))))))))))) % 171.50/172.73 (assume @p20 @t148) % 171.50/172.73 (assume @p21 true) % 171.50/172.73 (step @p22 (= tptp.mlocal @t150) :rule refl :args (@t150)) % 171.50/172.73 (step @p23 (= tptp.mnot @t153) :rule refl :args (@t153)) % 171.50/172.73 (step @p24 (= tptp.mand @t157) :rule refl :args (@t157)) % 171.50/172.73 (step @p25 (= tptp.mor @t158) :rule refl :args (@t158)) % 171.50/172.73 (step @p26 (= tptp.mimplies @t159) :rule refl :args (@t159)) % 171.50/172.73 (step @p27 (= tptp.mequiv @t160) :rule refl :args (@t160)) % 171.50/172.73 (step @p28 (= tptp.mbox @t165) :rule refl :args (@t165)) % 171.50/172.73 (step @p29 (= tptp.mdia @t166) :rule refl :args (@t166)) % 171.50/172.73 (step @p30 (= tptp.mforall_di @t171) :rule refl :args (@t171)) % 171.50/172.73 (step @p31 (= tptp.mexists_di @t172) :rule refl :args (@t172)) % 171.50/172.73 ; WARNING: add trust step for TRUST % 171.50/172.73 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 171.50/172.73 (step @p32 :rule trust :premises () :args ((forall (@list @t174 @t173) (or (not (forall @t177 (= (_ @t176 @t174 @t175) (_ @t176 @t173 @t175)))) (= @t174 @t173))))) % 171.50/172.73 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t255 @t259))) % 171.50/172.73 (step @p34 :rule cnf_equiv_neg2 :args (@t264)) % 171.50/172.73 ; trust TRUST PREPROCESS_HO_ELIM % 171.50/172.73 (step @p35 :rule trust :premises () :args ((= (not @t355) (not (or (and @t280 @t279 @t278 @t277) (and @t276 @t275 @t274 @t273) (and @t272 @t271 @t270 @t269) (and @t268 @t267 @t266 @t265) @t257))))) % 171.50/172.73 (step @p36 :rule beta-reduce :args ((= @t381 @t355))) % 171.50/172.73 (step @p37 :rule beta-reduce :args ((= (_ @t150 @t380) @t381))) % 171.50/172.73 (step @p38 :rule trans :premises (@p37 @p36)) % 171.50/172.73 (step @p39 :rule aci_norm :args ((= (or @t378 @t382) @t379))) % 171.50/172.73 (step @p40 :rule beta-reduce :args ((= @t384 @t382))) % 171.50/172.73 (step @p41 :rule refl :args (@t378)) % 171.50/172.73 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t385)) % 171.50/172.73 (step @p43 :rule trans :premises (@p42 @p39)) % 171.50/172.73 (step @p44 :rule cong :premises (@p43) :args (@t386)) % 171.50/172.73 (step @p45 :rule beta-reduce :args ((= (_ @t388 @t383) @t386))) % 171.50/172.73 (step @p46 :rule trans :premises (@p45 @p44)) % 171.50/172.73 (step @p47 :rule aci_norm :args ((= (or @t373 @t389) @t382))) % 171.50/172.73 (step @p48 :rule beta-reduce :args ((= @t391 @t389))) % 171.50/172.73 (step @p49 :rule refl :args (@t373)) % 171.50/172.73 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t392)) % 171.50/172.73 (step @p51 :rule trans :premises (@p50 @p47)) % 171.50/172.73 (step @p52 :rule cong :premises (@p51) :args (@t393)) % 171.50/172.73 (step @p53 :rule beta-reduce :args ((= (_ @t394 @t390) @t393))) % 171.50/172.73 (step @p54 :rule trans :premises (@p53 @p52)) % 171.50/172.73 (step @p55 :rule aci_norm :args ((= (or @t368 @t395) @t389))) % 171.50/172.73 (step @p56 :rule beta-reduce :args ((= @t397 @t395))) % 171.50/172.73 (step @p57 :rule refl :args (@t368)) % 171.50/172.73 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t398)) % 171.50/172.73 (step @p59 :rule trans :premises (@p58 @p55)) % 171.50/172.73 (step @p60 :rule cong :premises (@p59) :args (@t399)) % 171.50/172.73 (step @p61 :rule beta-reduce :args ((= (_ @t400 @t396) @t399))) % 171.50/172.73 (step @p62 :rule trans :premises (@p61 @p60)) % 171.50/172.73 (step @p63 :rule beta-reduce :args ((= @t402 @t358))) % 171.50/172.73 (step @p64 :rule refl :args (@t363)) % 171.50/172.73 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t403)) % 171.50/172.73 (step @p66 :rule cong :premises (@p65) :args (@t404)) % 171.50/172.73 (step @p67 :rule beta-reduce :args ((= (_ (lambda @t387 (or @t363 @t155)) @t401) @t404))) % 171.50/172.73 (step @p68 :rule trans :premises (@p67 @p66)) % 171.50/172.73 (step @p69 :rule aci_norm :args ((= (or @t296 (or @t292 (or @t288 @t284))) @t297))) % 171.50/172.73 (step @p70 :rule bool-and-de-morgan :args (@t287 @t283 true)) % 171.50/172.73 (step @p71 :rule refl :args (@t292)) % 171.50/172.73 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t292 (not (and @t287 @t283))))) % 171.50/172.73 (step @p73 :rule bool-and-de-morgan :args (@t291 @t287 (and @t283))) % 171.50/172.73 (step @p74 :rule trans :premises (@p73 @p72)) % 171.50/172.73 (step @p75 :rule refl :args (@t296)) % 171.50/172.73 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t296 (not (and @t291 @t287 @t283))))) % 171.50/172.73 (step @p77 :rule bool-and-de-morgan :args (@t295 @t291 (and @t287 @t283))) % 171.50/172.73 (step @p78 :rule trans :premises (@p77 @p76)) % 171.50/172.73 (step @p79 :rule trans :premises (@p78 @p69)) % 171.50/172.73 (step @p80 :rule aci_norm :args ((= (or @t309 (or @t306 (or @t303 @t300))) @t310))) % 171.50/172.73 (step @p81 :rule bool-and-de-morgan :args (@t302 @t299 true)) % 171.50/172.73 (step @p82 :rule refl :args (@t306)) % 171.50/172.73 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t306 (not (and @t302 @t299))))) % 171.50/172.73 (step @p84 :rule bool-and-de-morgan :args (@t305 @t302 (and @t299))) % 171.50/172.73 (step @p85 :rule trans :premises (@p84 @p83)) % 171.50/172.73 (step @p86 :rule refl :args (@t309)) % 171.50/172.73 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t309 (not (and @t305 @t302 @t299))))) % 171.50/172.73 (step @p88 :rule bool-and-de-morgan :args (@t308 @t305 (and @t302 @t299))) % 171.50/172.73 (step @p89 :rule trans :premises (@p88 @p87)) % 171.50/172.73 (step @p90 :rule trans :premises (@p89 @p80)) % 171.50/172.73 (step @p91 :rule aci_norm :args ((= (or @t322 (or @t319 (or @t316 @t313))) @t323))) % 171.50/172.73 (step @p92 :rule bool-and-de-morgan :args (@t315 @t312 true)) % 171.50/172.73 (step @p93 :rule refl :args (@t319)) % 171.50/172.73 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t319 (not (and @t315 @t312))))) % 171.50/172.73 (step @p95 :rule bool-and-de-morgan :args (@t318 @t315 (and @t312))) % 171.50/172.73 (step @p96 :rule trans :premises (@p95 @p94)) % 171.50/172.73 (step @p97 :rule refl :args (@t322)) % 171.50/172.73 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t322 (not (and @t318 @t315 @t312))))) % 171.50/172.73 (step @p99 :rule bool-and-de-morgan :args (@t321 @t318 (and @t315 @t312))) % 171.50/172.73 (step @p100 :rule trans :premises (@p99 @p98)) % 171.50/172.73 (step @p101 :rule trans :premises (@p100 @p91)) % 171.50/172.73 (step @p102 :rule aci_norm :args ((= (or @t335 (or @t332 (or @t329 @t326))) @t336))) % 171.50/172.73 (step @p103 :rule bool-and-de-morgan :args (@t328 @t325 true)) % 171.50/172.73 (step @p104 :rule refl :args (@t332)) % 171.50/172.73 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t332 (not (and @t328 @t325))))) % 171.50/172.73 (step @p106 :rule bool-and-de-morgan :args (@t331 @t328 (and @t325))) % 171.50/172.73 (step @p107 :rule trans :premises (@p106 @p105)) % 171.50/172.73 (step @p108 :rule refl :args (@t335)) % 171.50/172.73 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t335 (not (and @t331 @t328 @t325))))) % 171.50/172.73 (step @p110 :rule bool-and-de-morgan :args (@t334 @t331 (and @t328 @t325))) % 171.50/172.73 (step @p111 :rule trans :premises (@p110 @p109)) % 171.50/172.73 (step @p112 :rule trans :premises (@p111 @p102)) % 171.50/172.73 (step @p113 :rule nary_cong :premises (@p112 @p101 @p90 @p79) :args (@t413)) % 171.50/172.73 (step @p114 :rule aci_norm :args ((= (and @t412 (and @t410 (and @t408 @t406))) @t413))) % 171.50/172.73 (step @p115 :rule bool-or-de-morgan :args (@t407 @t405 false)) % 171.50/172.73 (step @p116 :rule refl :args (@t410)) % 171.50/172.73 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((and @t410 (not (or @t407 @t405))))) % 171.50/172.73 (step @p118 :rule bool-or-de-morgan :args (@t409 @t407 (or @t405))) % 171.50/172.73 (step @p119 :rule trans :premises (@p118 @p117)) % 171.50/172.73 (step @p120 :rule refl :args (@t412)) % 171.50/172.73 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((and @t412 (not (or @t409 @t407 @t405))))) % 171.50/172.73 (step @p122 :rule bool-or-de-morgan :args (@t411 @t409 (or @t407 @t405))) % 171.50/172.73 (step @p123 :rule trans :premises (@p122 @p121)) % 171.50/172.73 (step @p124 :rule trans :premises (@p123 @p114)) % 171.50/172.73 (step @p125 :rule trans :premises (@p124 @p113)) % 171.50/172.73 (step @p126 :rule refl :args (@t357)) % 171.50/172.73 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t415)) % 171.50/172.73 (step @p128 :rule cong :premises (@p127) :args ((forall @t162 @t415))) % 171.50/172.73 (step @p129 :rule beta-reduce :args ((= (_ (lambda @t4 (not (or (and (forall @t254 (or (not (tptp.mrel @t1 @t251)) @t333)) (forall @t250 (or (not (tptp.mrel @t1 @t247)) @t330)) (forall @t246 (or (not (tptp.mrel @t1 @t243)) @t327)) (forall @t242 (or (not (tptp.mrel @t1 @t239)) @t324))) (and (forall @t238 (or (not (tptp.mrel @t1 @t235)) @t320)) (forall @t234 (or (not (tptp.mrel @t1 @t231)) @t317)) (forall @t230 (or (not (tptp.mrel @t1 @t227)) @t314)) (forall @t226 (or (not (tptp.mrel @t1 @t223)) @t311))) (and (forall @t222 (or (not (tptp.mrel @t1 @t219)) @t307)) (forall @t218 (or (not (tptp.mrel @t1 @t215)) @t304)) (forall @t214 (or (not (tptp.mrel @t1 @t211)) @t301)) (forall @t210 (or (not (tptp.mrel @t1 @t207)) @t298))) (and (forall @t206 (or (not (tptp.mrel @t1 @t202)) @t294)) (forall @t201 (or (not (tptp.mrel @t1 @t197)) @t290)) (forall @t196 (or (not (tptp.mrel @t1 @t192)) @t286)) (forall @t191 (or (not (tptp.mrel @t1 @t178)) @t282)))))) @t6) @t414))) % 171.50/172.73 (step @p130 :rule refl :args (@t6)) % 171.50/172.73 (step @p131 :rule alpha_equiv :args (@t359 @t416 (@list @t178))) % 171.50/172.73 (step @p132 :rule alpha_equiv :args (@t360 @t416 (@list @t192))) % 171.50/172.73 (step @p133 :rule alpha_equiv :args (@t361 @t416 (@list @t197))) % 171.50/172.73 (step @p134 :rule alpha_equiv :args (@t362 @t416 (@list @t202))) % 171.50/172.73 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args (@t363)) % 171.50/172.73 (step @p136 :rule alpha_equiv :args (@t364 @t416 (@list @t207))) % 171.50/172.73 (step @p137 :rule alpha_equiv :args (@t365 @t416 (@list @t211))) % 171.50/172.73 (step @p138 :rule alpha_equiv :args (@t366 @t416 (@list @t215))) % 171.50/172.73 (step @p139 :rule alpha_equiv :args (@t367 @t416 (@list @t219))) % 171.50/172.73 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136) :args (@t368)) % 171.50/172.73 (step @p141 :rule alpha_equiv :args (@t369 @t416 (@list @t223))) % 171.50/172.73 (step @p142 :rule alpha_equiv :args (@t370 @t416 (@list @t227))) % 171.50/172.73 (step @p143 :rule alpha_equiv :args (@t371 @t416 (@list @t231))) % 171.50/172.73 (step @p144 :rule alpha_equiv :args (@t372 @t416 (@list @t235))) % 171.50/172.73 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141) :args (@t373)) % 171.50/172.73 (step @p146 :rule alpha_equiv :args (@t374 @t416 (@list @t239))) % 171.50/172.73 (step @p147 :rule alpha_equiv :args (@t375 @t416 (@list @t243))) % 171.50/172.73 (step @p148 :rule alpha_equiv :args (@t376 @t416 (@list @t247))) % 171.50/172.73 (step @p149 :rule alpha_equiv :args (@t377 @t416 (@list @t251))) % 171.50/172.73 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146) :args (@t378)) % 171.50/172.73 (step @p151 :rule nary_cong :premises (@p150 @p145 @p140 @p135) :args (@t417)) % 171.50/172.73 (step @p152 :rule cong :premises (@p151) :args (@t418)) % 171.50/172.73 (step @p153 :rule cong :premises (@p152) :args (@t419)) % 171.50/172.73 (step @p154 :rule ho_cong :premises (@p153 @p130)) % 171.50/172.73 (step @p155 :rule trans :premises (@p154 @p129)) % 171.50/172.73 (step @p156 :rule refl :args (@t357)) % 171.50/172.73 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t420)) % 171.50/172.73 (step @p158 :rule cong :premises (@p157) :args (@t421)) % 171.50/172.73 (step @p159 :rule trans :premises (@p158 @p128)) % 171.50/172.73 (step @p160 :rule cong :premises (@p159) :args (@t422)) % 171.50/172.73 (step @p161 :rule beta-reduce :args ((= (_ @t424 @t419) @t422))) % 171.50/172.73 (step @p162 :rule trans :premises (@p161 @p160)) % 171.50/172.73 (step @p163 :rule beta-reduce :args ((= @t426 @t417))) % 171.50/172.73 (step @p164 :rule cong :premises (@p163) :args (@t427)) % 171.50/172.73 (step @p165 :rule cong :premises (@p164) :args (@t428)) % 171.50/172.73 (step @p166 :rule beta-reduce :args ((= (_ @t153 @t425) @t428))) % 171.50/172.73 (step @p167 :rule trans :premises (@p166 @p165)) % 171.50/172.73 (step @p168 :rule aci_norm :args ((= (or @t378 @t429) @t417))) % 171.50/172.73 (step @p169 :rule beta-reduce :args ((= @t431 @t429))) % 171.50/172.73 (step @p170 :rule nary_cong :premises (@p41 @p169) :args (@t432)) % 171.50/172.73 (step @p171 :rule trans :premises (@p170 @p168)) % 171.50/172.73 (step @p172 :rule cong :premises (@p171) :args (@t433)) % 171.50/172.73 (step @p173 :rule beta-reduce :args ((= (_ @t388 @t430) @t433))) % 171.50/172.73 (step @p174 :rule trans :premises (@p173 @p172)) % 171.50/172.73 (step @p175 :rule aci_norm :args ((= (or @t373 @t434) @t429))) % 171.50/172.73 (step @p176 :rule beta-reduce :args ((= @t436 @t434))) % 171.50/172.73 (step @p177 :rule nary_cong :premises (@p49 @p176) :args (@t437)) % 171.50/172.73 (step @p178 :rule trans :premises (@p177 @p175)) % 171.50/172.73 (step @p179 :rule cong :premises (@p178) :args (@t438)) % 171.50/172.73 (step @p180 :rule beta-reduce :args ((= (_ @t394 @t435) @t438))) % 171.50/172.73 (step @p181 :rule trans :premises (@p180 @p179)) % 171.50/172.73 (step @p182 :rule beta-reduce :args ((= @t440 @t363))) % 171.50/172.73 (step @p183 :rule nary_cong :premises (@p57 @p182) :args (@t441)) % 171.50/172.73 (step @p184 :rule cong :premises (@p183) :args (@t442)) % 171.50/172.73 (step @p185 :rule beta-reduce :args ((= (_ @t400 @t439) @t442))) % 171.50/172.73 (step @p186 :rule trans :premises (@p185 @p184)) % 171.50/172.73 (step @p187 :rule aci_norm :args ((= (and @t362 @t443) @t363))) % 171.50/172.73 (step @p188 :rule beta-reduce :args ((= @t445 @t443))) % 171.50/172.73 (step @p189 :rule refl :args (@t362)) % 171.50/172.73 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t446)) % 171.50/172.73 (step @p191 :rule trans :premises (@p190 @p187)) % 171.50/172.73 (step @p192 :rule cong :premises (@p191) :args (@t447)) % 171.50/172.73 (step @p193 :rule beta-reduce :args ((= (_ (lambda @t387 (and @t362 @t155)) @t444) @t447))) % 171.50/172.73 (step @p194 :rule trans :premises (@p193 @p192)) % 171.50/172.73 (step @p195 :rule aci_norm :args ((= (and @t361 @t448) @t443))) % 171.50/172.73 (step @p196 :rule beta-reduce :args ((= @t450 @t448))) % 171.50/172.73 (step @p197 :rule refl :args (@t361)) % 171.50/172.73 (step @p198 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@t6) @t351))) % 171.50/172.74 (step @p673 :rule symm :premises (@p672)) % 171.50/172.74 (step @p674 :rule refl :args (@t635)) % 171.50/172.74 (step @p675 :rule eq_resolve :premises (@p674 @p673)) % 171.50/172.74 (step @p676 :rule ho_cong :premises (@p226 @p667)) % 171.50/172.74 (step @p677 :rule ho_cong :premises (@p676 @p130)) % 171.50/172.74 (step @p678 :rule trans :premises (@p677 @p675)) % 171.50/172.74 (step @p679 :rule nary_cong :premises (@p126 @p678) :args (@t636)) % 171.50/172.74 (step @p680 :rule cong :premises (@p679) :args ((forall @t162 @t636))) % 171.50/172.74 (step @p681 :rule refl :args (@t637)) % 171.50/172.74 (step @p682 :rule nary_cong :premises (@p156 @p681) :args (@t638)) % 171.50/172.74 (step @p683 :rule cong :premises (@p682) :args (@t639)) % 171.50/172.74 (step @p684 :rule trans :premises (@p683 @p680)) % 171.50/172.74 (step @p685 :rule cong :premises (@p684) :args (@t640)) % 171.50/172.74 (step @p686 :rule beta-reduce :args ((= @t641 @t640))) % 171.50/172.74 (step @p687 :rule trans :premises (@p686 @p685)) % 171.50/172.74 (step @p688 :rule beta-reduce :args ((= @t643 @t375))) % 171.50/172.74 (step @p689 :rule nary_cong :premises (@p688 @p239) :args (@t644)) % 171.50/172.74 (step @p690 :rule cong :premises (@p689) :args (@t645)) % 171.50/172.74 (step @p691 :rule beta-reduce :args ((= (_ @t157 @t642) @t645))) % 171.50/172.74 (step @p692 :rule trans :premises (@p691 @p690)) % 171.50/172.74 (step @p693 :rule refl :args ((tptp.qmltpeq @t51 tptp.e0 @t6))) % 171.50/172.74 (step @p694 :rule cong :premises (@p246 @p667 @p130) :args (@t352)) % 171.50/172.74 (step @p695 :rule trans :premises (@p694 @p693)) % 171.50/172.74 (step @p696 :rule ho_cong :premises (@p249 @p667)) % 171.50/172.74 (step @p697 :rule ho_cong :premises (@p696 @p130)) % 171.50/172.74 (step @p698 :rule cong :premises (@p697 @p695) :args ((= (_ (_ @t469 tptp.e0) @t6) @t352))) % 171.50/172.74 (step @p699 :rule symm :premises (@p698)) % 171.50/172.74 (step @p700 :rule refl :args (@t646)) % 171.50/172.74 (step @p701 :rule eq_resolve :premises (@p700 @p699)) % 171.50/172.74 (step @p702 :rule ho_cong :premises (@p260 @p667)) % 171.50/172.74 (step @p703 :rule ho_cong :premises (@p702 @p130)) % 171.50/172.74 (step @p704 :rule trans :premises (@p703 @p701)) % 171.50/172.74 (step @p705 :rule nary_cong :premises (@p126 @p704) :args (@t647)) % 171.50/172.74 (step @p706 :rule cong :premises (@p705) :args ((forall @t162 @t647))) % 171.50/172.74 (step @p707 :rule refl :args (@t648)) % 171.50/172.74 (step @p708 :rule nary_cong :premises (@p156 @p707) :args (@t649)) % 171.50/172.74 (step @p709 :rule cong :premises (@p708) :args (@t650)) % 171.50/172.74 (step @p710 :rule trans :premises (@p709 @p706)) % 171.50/172.74 (step @p711 :rule cong :premises (@p710) :args (@t651)) % 171.50/172.74 (step @p712 :rule beta-reduce :args ((= @t652 @t651))) % 171.50/172.74 (step @p713 :rule trans :premises (@p712 @p711)) % 171.50/172.74 (step @p714 :rule ho_cong :premises (@p273 @p713)) % 171.50/172.74 (step @p715 :rule trans :premises (@p714 @p692)) % 171.50/172.74 (step @p716 :rule ho_cong :premises (@p715 @p687)) % 171.50/172.74 (step @p717 :rule trans :premises (@p716 @p665)) % 171.50/172.74 (step @p718 :rule beta-reduce :args ((= @t654 @t376))) % 171.50/172.74 (step @p719 :rule nary_cong :premises (@p718 @p239) :args (@t655)) % 171.50/172.74 (step @p720 :rule cong :premises (@p719) :args (@t656)) % 171.50/172.74 (step @p721 :rule beta-reduce :args ((= (_ @t157 @t653) @t656))) % 171.50/172.74 (step @p722 :rule trans :premises (@p721 @p720)) % 171.50/172.74 (step @p723 :rule refl :args ((tptp.qmltpeq @t70 tptp.e0 @t6))) % 171.50/172.74 (step @p724 :rule cong :premises (@p284 @p667 @p130) :args (@t353)) % 171.50/172.74 (step @p725 :rule trans :premises (@p724 @p723)) % 171.50/172.74 (step @p726 :rule ho_cong :premises (@p287 @p667)) % 171.50/172.74 (step @p727 :rule ho_cong :premises (@p726 @p130)) % 171.50/172.74 (step @p728 :rule cong :premises (@p727 @p725) :args ((= (_ (_ @t481 tptp.e0) @t6) @t353))) % 171.50/172.74 (step @p729 :rule symm :premises (@p728)) % 171.50/172.74 (step @p730 :rule refl :args (@t657)) % 171.50/172.74 (step @p731 :rule eq_resolve :premises (@p730 @p729)) % 171.50/172.74 (step @p732 :rule ho_cong :premises (@p298 @p667)) % 171.50/172.74 (step @p733 :rule ho_cong :premises (@p732 @p130)) % 171.50/172.74 (step @p734 :rule trans :premises (@p733 @p731)) % 171.50/172.74 (step @p735 :rule nary_cong :premises (@p126 @p734) :args (@t658)) % 171.50/172.74 (step @p736 :rule cong :premises (@p735) :args ((forall @t162 @t658))) % 171.50/172.74 (step @p737 :rule refl :args (@t659)) % 171.50/172.74 (step @p738 :rule nary_cong :premises (@p156 @p737) :args (@t660)) % 171.50/172.74 (step @p739 :rule cong :premises (@p738) :args (@t661)) % 171.50/172.74 (step @p740 :rule trans :premises (@p739 @p736)) % 171.50/172.74 (step @p741 :rule cong :premises (@p740) :args (@t662)) % 171.50/172.74 (step @p742 :rule beta-reduce :args ((= @t663 @t662))) % 171.50/172.74 (step @p743 :rule trans :premises (@p742 @p741)) % 171.50/172.74 (step @p744 :rule ho_cong :premises (@p273 @p743)) % 171.50/172.74 (step @p745 :rule trans :premises (@p744 @p722)) % 171.50/172.74 (step @p746 :rule ho_cong :premises (@p745 @p717)) % 171.50/172.74 (step @p747 :rule trans :premises (@p746 @p659)) % 171.50/172.74 (step @p748 :rule beta-reduce :args ((= @t665 @t377))) % 171.50/172.74 (step @p749 :rule nary_cong :premises (@p748 @p239) :args (@t666)) % 171.50/172.74 (step @p750 :rule cong :premises (@p749) :args (@t667)) % 171.50/172.74 (step @p751 :rule beta-reduce :args ((= (_ @t157 @t664) @t667))) % 171.50/172.74 (step @p752 :rule trans :premises (@p751 @p750)) % 171.50/172.74 (step @p753 :rule refl :args ((tptp.qmltpeq @t89 tptp.e0 @t6))) % 171.50/172.74 (step @p754 :rule cong :premises (@p321 @p667 @p130) :args (@t354)) % 171.50/172.74 (step @p755 :rule trans :premises (@p754 @p753)) % 171.50/172.74 (step @p756 :rule ho_cong :premises (@p324 @p667)) % 171.50/172.74 (step @p757 :rule ho_cong :premises (@p756 @p130)) % 171.50/172.74 (step @p758 :rule cong :premises (@p757 @p755) :args ((= (_ (_ @t493 tptp.e0) @t6) @t354))) % 171.50/172.74 (step @p759 :rule symm :premises (@p758)) % 171.50/172.74 (step @p760 :rule refl :args (@t668)) % 171.50/172.74 (step @p761 :rule eq_resolve :premises (@p760 @p759)) % 171.50/172.74 (step @p762 :rule ho_cong :premises (@p335 @p667)) % 171.50/172.74 (step @p763 :rule ho_cong :premises (@p762 @p130)) % 171.50/172.74 (step @p764 :rule trans :premises (@p763 @p761)) % 171.50/172.74 (step @p765 :rule nary_cong :premises (@p126 @p764) :args (@t669)) % 171.50/172.74 (step @p766 :rule cong :premises (@p765) :args ((forall @t162 @t669))) % 171.50/172.74 (step @p767 :rule refl :args (@t670)) % 171.50/172.74 (step @p768 :rule nary_cong :premises (@p156 @p767) :args (@t671)) % 171.50/172.74 (step @p769 :rule cong :premises (@p768) :args (@t672)) % 171.50/172.74 (step @p770 :rule trans :premises (@p769 @p766)) % 171.50/172.74 (step @p771 :rule cong :premises (@p770) :args (@t673)) % 171.50/172.74 (step @p772 :rule beta-reduce :args ((= @t674 @t673))) % 171.50/172.74 (step @p773 :rule trans :premises (@p772 @p771)) % 171.50/172.74 (step @p774 :rule ho_cong :premises (@p273 @p773)) % 171.50/172.74 (step @p775 :rule trans :premises (@p774 @p752)) % 171.50/172.74 (step @p776 :rule ho_cong :premises (@p775 @p747)) % 171.50/172.74 (step @p777 :rule trans :premises (@p776 @p651)) % 171.50/172.74 (step @p778 :rule ho_cong :premises (@p491 @p777)) % 171.50/172.74 (step @p779 :rule trans :premises (@p778 @p643)) % 171.50/172.74 (step @p780 :rule ho_cong :premises (@p779 @p638)) % 171.50/172.74 (step @p781 :rule trans :premises (@p780 @p174)) % 171.50/172.74 (step @p782 :rule refl :args (@t153)) % 171.50/172.74 (step @p783 :rule ho_cong :premises (@p782 @p781)) % 171.50/172.74 (step @p784 :rule trans :premises (@p783 @p167)) % 171.50/172.74 (step @p785 :rule refl :args (@t424)) % 171.50/172.74 (step @p786 :rule ho_cong :premises (@p785 @p784)) % 171.50/172.74 (step @p787 :rule trans :premises (@p786 @p162)) % 171.50/172.74 (step @p788 :rule nary_cong :premises (@p182 @p239) :args (@t675)) % 171.50/172.74 (step @p789 :rule cong :premises (@p788) :args (@t676)) % 171.50/172.74 (step @p790 :rule beta-reduce :args ((= (_ @t158 @t439) @t676))) % 171.50/172.74 (step @p791 :rule trans :premises (@p790 @p789)) % 171.50/172.74 (step @p792 :rule ho_cong :premises (@p491 @p351)) % 171.50/172.74 (step @p793 :rule trans :premises (@p792 @p791)) % 171.50/172.74 (step @p794 :rule ho_cong :premises (@p793 @p787)) % 171.50/172.74 (step @p795 :rule trans :premises (@p794 @p68)) % 171.50/172.74 (step @p796 :rule ho_cong :premises (@p493 @p795)) % 171.50/172.74 (step @p797 :rule trans :premises (@p796 @p62)) % 171.50/172.74 (step @p798 :rule ho_cong :premises (@p636 @p797)) % 171.50/172.74 (step @p799 :rule trans :premises (@p798 @p54)) % 171.50/172.74 (step @p800 :rule ho_cong :premises (@p779 @p799)) % 171.50/172.74 (step @p801 :rule trans :premises (@p800 @p46)) % 171.50/172.74 (step @p802 :rule refl :args (@t150)) % 171.50/172.74 (step @p803 :rule ho_cong :premises (@p802 @p801)) % 171.50/172.74 (step @p804 :rule trans :premises (@p803 @p38)) % 171.50/172.74 (step @p805 :rule cong :premises (@p804) :args ((not (_ @t150 (_ @t680 (_ @t679 (_ @t678 (_ (_ @t158 @t677) (_ @t424 (_ @t153 (_ @t680 (_ @t679 (_ @t678 @t677))))))))))))) % 171.50/172.74 (step @p806 :rule refl :args (@t34)) % 171.50/172.74 (step @p807 :rule refl :args (@t423)) % 171.50/172.74 (step @p808 :rule refl :args (@t161)) % 171.50/172.74 (step @p809 :rule cong :premises (@p808 @p807) :args ((= @t161 @t423))) % 171.50/172.74 (step @p810 :rule symm :premises (@p809)) % 171.50/172.74 (step @p811 :rule eq_resolve :premises (@p808 @p810)) % 171.50/172.74 (step @p812 :rule refl :args (@t356)) % 171.50/172.74 (step @p813 :rule refl :args (@t9)) % 171.50/172.74 (step @p814 :rule cong :premises (@p813 @p812) :args ((= @t9 @t356))) % 171.50/172.74 (step @p815 :rule symm :premises (@p814)) % 171.50/172.74 (step @p816 :rule eq_resolve :premises (@p813 @p815)) % 171.50/172.74 (step @p817 :rule cong :premises (@p816) :args (@t681)) % 171.50/172.74 (step @p818 :rule nary_cong :premises (@p817 @p811) :args (@t682)) % 171.50/172.74 (step @p819 :rule cong :premises (@p818) :args ((forall @t162 @t682))) % 171.50/172.74 (step @p820 :rule bool-impl-elim :args (@t9 @t161)) % 171.50/172.74 (step @p821 :rule cong :premises (@p820) :args (@t163)) % 171.50/172.74 (step @p822 :rule trans :premises (@p821 @p819)) % 171.50/172.74 (step @p823 :rule cong :premises (@p822) :args (@t165)) % 171.50/172.74 (step @p824 :rule trans :premises (@p28 @p823)) % 171.50/172.74 (step @p825 :rule ho_cong :premises (@p824 @p806)) % 171.50/172.74 (step @p826 :rule refl :args (@t53)) % 171.50/172.74 (step @p827 :rule ho_cong :premises (@p824 @p826)) % 171.50/172.74 (step @p828 :rule ho_cong :premises (@p24 @p827)) % 171.50/172.74 (step @p829 :rule ho_cong :premises (@p828 @p825)) % 171.50/172.74 (step @p830 :rule refl :args (@t72)) % 171.50/172.74 (step @p831 :rule ho_cong :premises (@p824 @p830)) % 171.50/172.74 (step @p832 :rule ho_cong :premises (@p24 @p831)) % 171.50/172.74 (step @p833 :rule ho_cong :premises (@p832 @p829)) % 171.50/172.74 (step @p834 :rule refl :args (@t91)) % 171.50/172.74 (step @p835 :rule ho_cong :premises (@p824 @p834)) % 171.50/172.74 (step @p836 :rule ho_cong :premises (@p24 @p835)) % 171.50/172.74 (step @p837 :rule ho_cong :premises (@p836 @p833)) % 171.50/172.74 (step @p838 :rule refl :args (@t36)) % 171.50/172.74 (step @p839 :rule ho_cong :premises (@p824 @p838)) % 171.50/172.74 (step @p840 :rule refl :args (@t55)) % 171.50/172.74 (step @p841 :rule ho_cong :premises (@p824 @p840)) % 171.50/172.74 (step @p842 :rule ho_cong :premises (@p24 @p841)) % 171.50/172.74 (step @p843 :rule ho_cong :premises (@p842 @p839)) % 171.50/172.74 (step @p844 :rule refl :args (@t74)) % 171.50/172.74 (step @p845 :rule ho_cong :premises (@p824 @p844)) % 171.50/172.74 (step @p846 :rule ho_cong :premises (@p24 @p845)) % 171.50/172.74 (step @p847 :rule ho_cong :premises (@p846 @p843)) % 171.50/172.74 (step @p848 :rule refl :args (@t93)) % 171.50/172.74 (step @p849 :rule ho_cong :premises (@p824 @p848)) % 171.50/172.74 (step @p850 :rule ho_cong :premises (@p24 @p849)) % 171.50/172.74 (step @p851 :rule ho_cong :premises (@p850 @p847)) % 171.50/172.74 (step @p852 :rule ho_cong :premises (@p25 @p851)) % 171.50/172.74 (step @p853 :rule ho_cong :premises (@p852 @p837)) % 171.50/172.74 (step @p854 :rule refl :args (@t38)) % 171.50/172.74 (step @p855 :rule ho_cong :premises (@p824 @p854)) % 171.50/172.74 (step @p856 :rule refl :args (@t57)) % 171.50/172.74 (step @p857 :rule ho_cong :premises (@p824 @p856)) % 171.50/172.74 (step @p858 :rule ho_cong :premises (@p24 @p857)) % 171.50/172.74 (step @p859 :rule ho_cong :premises (@p858 @p855)) % 171.50/172.74 (step @p860 :rule refl :args (@t76)) % 171.50/172.74 (step @p861 :rule ho_cong :premises (@p824 @p860)) % 171.50/172.74 (step @p862 :rule ho_cong :premises (@p24 @p861)) % 171.50/172.74 (step @p863 :rule ho_cong :premises (@p862 @p859)) % 171.50/172.74 (step @p864 :rule refl :args (@t95)) % 171.50/172.74 (step @p865 :rule ho_cong :premises (@p824 @p864)) % 171.50/172.74 (step @p866 :rule ho_cong :premises (@p24 @p865)) % 171.50/172.74 (step @p867 :rule ho_cong :premises (@p866 @p863)) % 171.50/172.74 (step @p868 :rule ho_cong :premises (@p25 @p867)) % 171.50/172.74 (step @p869 :rule ho_cong :premises (@p868 @p853)) % 171.50/172.74 (step @p870 :rule refl :args (@t40)) % 171.50/172.74 (step @p871 :rule ho_cong :premises (@p824 @p870)) % 171.50/172.74 (step @p872 :rule refl :args (@t59)) % 171.50/172.74 (step @p873 :rule ho_cong :premises (@p824 @p872)) % 171.50/172.74 (step @p874 :rule ho_cong :premises (@p24 @p873)) % 171.50/172.74 (step @p875 :rule ho_cong :premises (@p874 @p871)) % 171.50/172.74 (step @p876 :rule refl :args (@t78)) % 171.50/172.74 (step @p877 :rule ho_cong :premises (@p824 @p876)) % 171.50/172.74 (step @p878 :rule ho_cong :premises (@p24 @p877)) % 171.50/172.74 (step @p879 :rule ho_cong :premises (@p878 @p875)) % 171.50/172.74 (step @p880 :rule refl :args (@t97)) % 171.50/172.74 (step @p881 :rule ho_cong :premises (@p824 @p880)) % 171.50/172.74 (step @p882 :rule ho_cong :premises (@p24 @p881)) % 171.50/172.74 (step @p883 :rule ho_cong :premises (@p882 @p879)) % 171.50/172.74 (step @p884 :rule ho_cong :premises (@p25 @p883)) % 171.50/172.74 (step @p885 :rule ho_cong :premises (@p884 @p869)) % 171.50/172.74 (step @p886 :rule ho_cong :premises (@p23 @p885)) % 171.50/172.74 (step @p887 :rule ho_cong :premises (@p824 @p886)) % 171.50/172.74 (step @p888 :rule ho_cong :premises (@p25 @p837)) % 171.50/172.74 (step @p889 :rule ho_cong :premises (@p888 @p887)) % 171.50/172.74 (step @p890 :rule ho_cong :premises (@p852 @p889)) % 171.50/172.74 (step @p891 :rule ho_cong :premises (@p868 @p890)) % 171.50/172.74 (step @p892 :rule ho_cong :premises (@p884 @p891)) % 171.50/172.74 (step @p893 :rule ho_cong :premises (@p22 @p892)) % 171.50/172.74 (step @p894 :rule cong :premises (@p893) :args (@t148)) % 171.50/172.74 (step @p895 :rule trans :premises (@p894 @p805)) % 171.50/172.74 (step @p896 :rule trans :premises (@p895 @p35)) % 171.50/172.74 (step @p897 :rule eq_resolve :premises (@p20 @p896)) % 171.50/172.74 (step @p898 :rule not_or_elim :premises (@p897) :args (4)) % 171.50/172.74 (step @p899 :rule skolemize :premises (@p898)) % 171.50/172.74 (step @p900 :rule bool-double-not-elim :args (@t683)) % 171.50/172.74 (step @p901 :rule refl :args (@t722)) % 171.50/172.74 (step @p902 :rule nary_cong :premises (@p901 @p900) :args ((or @t722 (not @t721)))) % 171.50/172.74 (step @p903 :rule cnf_or_neg :args (@t722 0)) % 171.50/172.74 (step @p904 :rule eq_resolve :premises (@p903 @p902)) % 171.50/172.74 (step @p905 :rule reordering :premises (@p904) :args ((or @t683 @t722))) % 171.50/172.74 (step @p906 :rule chain_m_resolution :premises (@p905 @p899) :args (@t683 @t723 @t724)) % 171.50/172.74 ; trust TRUST PREPROCESS_HO_ELIM % 171.50/172.74 (step @p907 :rule trust :premises () :args ((= (forall @t12 (or (not @t727) @t357 @t726)) (forall @t12 (or (not (_ @t176 @t725 @t7)) (not (_ @t176 @t725 @t6)) (_ @t176 (_ @t189 @t188 @t7) @t6)))))) % 171.50/172.74 (step @p908 :rule refl :args (@t726)) % 171.50/172.74 (step @p909 :rule refl :args (@t8)) % 171.50/172.74 (step @p910 :rule cong :premises (@p909 @p908) :args ((= @t8 @t726))) % 171.50/172.74 (step @p911 :rule symm :premises (@p910)) % 171.50/172.74 (step @p912 :rule eq_resolve :premises (@p909 @p911)) % 171.50/172.74 (step @p913 :rule refl :args (@t727)) % 171.50/172.74 (step @p914 :rule refl :args (@t10)) % 171.50/172.74 (step @p915 :rule cong :premises (@p914 @p913) :args ((= @t10 @t727))) % 171.50/172.74 (step @p916 :rule symm :premises (@p915)) % 171.50/172.74 (step @p917 :rule eq_resolve :premises (@p914 @p916)) % 171.50/172.74 (step @p918 :rule cong :premises (@p917) :args (@t728)) % 171.50/172.74 (step @p919 :rule nary_cong :premises (@p918 @p817 @p912) :args (@t729)) % 171.50/172.74 (step @p920 :rule cong :premises (@p919) :args ((forall @t12 @t729))) % 171.50/172.74 (step @p921 :rule aci_norm :args ((= (or (or @t728 @t681) @t8) @t729))) % 171.50/172.74 (step @p922 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 171.50/172.74 (step @p923 :rule nary_cong :premises (@p922 @p909) :args ((or (not @t11) @t8))) % 171.50/172.74 (step @p924 :rule trans :premises (@p923 @p921)) % 171.50/172.74 (step @p925 :rule bool-impl-elim :args (@t11 @t8)) % 171.50/172.74 (step @p926 :rule trans :premises (@p925 @p924)) % 171.50/172.74 (step @p927 :rule cong :premises (@p926) :args (@t13)) % 171.50/172.74 (step @p928 :rule trans :premises (@p927 @p920)) % 171.50/172.74 (step @p929 :rule trans :premises (@p928 @p907)) % 171.50/172.74 (step @p930 :rule eq_resolve :premises (@p2 @p929)) % 171.50/172.74 (step @p931 :rule instantiate :premises (@p930) :args ((@list tptp.mactual @t261 @t258))) % 171.50/172.74 (step @p932 :rule cnf_or_pos :args (@t731)) % 171.50/172.74 (step @p933 :rule reordering :premises (@p932) :args ((or @t721 @t262 @t730 (not @t731)))) % 171.50/172.74 (step @p934 :rule chain_m_resolution :premises (@p933 @p931 @p906 @p34) :args ((or @t264 @t730) (@list false false true) (@list @t731 @t683 @t262))) % 171.50/172.74 (step @p935 :rule cnf_equiv_neg1 :args (@t264)) % 171.50/172.74 (step @p936 :rule reordering :premises (@p935) :args ((or @t263 @t262 @t264))) % 171.50/172.74 (step @p937 :rule instantiate :premises (@p930) :args ((@list tptp.mactual tptp.mactual @t258))) % 171.50/172.74 ; trust TRUST PREPROCESS_HO_ELIM % 171.50/172.74 (step @p938 :rule trust :premises () :args ((= (forall @t4 @t732) (forall @t4 (_ @t176 @t725 @t1))))) % 171.50/172.74 (step @p939 :rule refl :args (@t732)) % 171.50/172.74 (step @p940 :rule refl :args (@t3)) % 171.50/172.74 (step @p941 :rule cong :premises (@p940 @p939) :args ((= @t3 @t732))) % 171.50/172.74 (step @p942 :rule symm :premises (@p941)) % 171.50/172.74 (step @p943 :rule eq_resolve :premises (@p940 @p942)) % 171.50/172.74 (step @p944 :rule cong :premises (@p943) :args (@t5)) % 171.50/172.74 (step @p945 :rule trans :premises (@p944 @p938)) % 171.50/172.74 (step @p946 :rule eq_resolve :premises (@p1 @p945)) % 171.50/172.74 (step @p947 :rule instantiate :premises (@p946) :args ((@list tptp.mactual))) % 171.50/172.74 (step @p948 :rule cnf_or_pos :args (@t736)) % 171.50/172.74 (step @p949 :rule reordering :premises (@p948) :args ((or @t721 @t735 @t733 (not @t736)))) % 171.50/172.74 (step @p950 :rule chain_m_resolution :premises (@p949 @p906 @p947 @p937) :args (@t733 @t737 (@list @t683 @t734 @t736))) % 171.50/172.74 (step @p951 :rule instantiate :premises (@p930) :args ((@list @t258 @t261 tptp.mactual))) % 171.50/172.74 (step @p952 :rule cnf_or_pos :args (@t740)) % 171.50/172.74 (step @p953 :rule reordering :premises (@p952) :args ((or @t739 @t263 @t738 (not @t740)))) % 171.50/172.74 (step @p954 :rule chain_m_resolution :premises (@p953 @p951 @p950 @p936 @p934) :args (@t264 (@list false false false true) (@list @t740 @t733 @t262 @t263))) % 171.50/172.74 (step @p955 :rule refl :args (@t741)) % 171.50/172.74 (step @p956 :rule bool-double-not-elim :args (@t260)) % 171.50/172.74 (step @p957 :rule nary_cong :premises (@p956 @p955) :args ((or (not @t742) @t741))) % 171.50/172.74 (assume-push @p1858 @t742) % 171.50/172.74 (step @p959 :rule skolemize :premises (@p1858)) % 171.50/172.74 (step-pop @p1859 :rule scope :premises (@p959)) % 171.50/172.74 (step @p960 :rule process_scope :premises (@p1859) :args (@t741)) % 171.50/172.74 (step @p962 :rule implies_elim :premises (@p960)) % 171.50/172.74 (step @p963 :rule eq_resolve :premises (@p962 @p957)) % 171.50/172.74 (step @p964 :rule chain_m_resolution :premises (@p963 @p954) :args (@t260 @t743 (@list @t264))) % 171.50/172.74 (step @p965 :rule cnf_or_pos :args (@t745)) % 171.50/172.74 (step @p966 :rule reordering :premises (@p965) :args ((or @t742 @t744 (not @t745)))) % 171.50/172.74 (step @p967 :rule chain_m_resolution :premises (@p966 @p964 @p33) :args (@t744 (@list false false) (@list @t260 @t745))) % 171.50/172.74 (step @p968 :rule bool-double-not-elim :args (@t747)) % 171.50/172.74 (step @p969 :rule refl :args (@t750)) % 171.50/172.74 (step @p970 :rule nary_cong :premises (@p969 @p968) :args ((or @t750 (not @t749)))) % 171.50/172.74 (step @p971 :rule cnf_or_neg :args (@t750 0)) % 171.50/172.74 (step @p972 :rule eq_resolve :premises (@p971 @p970)) % 171.50/172.74 (step @p973 :rule reordering :premises (@p972) :args ((or @t747 @t750))) % 171.50/172.74 (step @p974 :rule cnf_or_neg :args (@t750 1)) % 171.50/172.74 (step @p975 :rule bool-double-not-elim :args (@t751)) % 171.50/172.74 (step @p976 :rule refl :args (@t752)) % 171.50/172.74 (step @p977 :rule refl :args (@t749)) % 171.50/172.74 (step @p978 :rule nary_cong :premises (@p977 @p976 @p975) :args ((or @t749 @t752 (not @t753)))) % 171.50/172.74 (assume-push @p1860 @t753) % 171.50/172.74 (assume-push @p1861 @t744) % 171.50/172.74 (assume-push @p1862 @t747) % 171.50/172.74 (step @p982 :rule evaluate :args (@t754)) % 171.50/172.74 (step @p983 :rule false_intro :premises (@p1860)) % 171.50/172.74 (step @p984 :rule refl :args (@t746)) % 171.50/172.74 (step @p985 :rule cong :premises (@p1861 @p984) :args (@t747)) % 171.50/172.74 (step @p986 :rule true_intro :premises (@p1862)) % 171.50/172.74 (step @p987 :rule symm :premises (@p986)) % 171.50/172.74 (step @p988 :rule trans :premises (@p987 @p985 @p983)) % 171.50/172.74 (step @p989 false :rule eq_resolve :premises (@p988 @p982)) % 171.50/172.74 (step-pop @p1863 :rule scope :premises (@p989)) % 171.50/172.74 (step-pop @p1864 :rule scope :premises (@p1863)) % 171.50/172.74 (step-pop @p1865 :rule scope :premises (@p1864)) % 171.50/172.74 (step @p990 :rule process_scope :premises (@p1865) :args (false)) % 171.50/172.74 (assume-push @p1866 @t747) % 171.50/172.74 (assume-push @p1867 @t744) % 171.50/172.74 (assume-push @p1868 @t753) % 171.50/172.74 (step @p997 :rule and_intro :premises (@p1868 @p1867 @p1866)) % 171.50/172.74 (step-pop @p1869 :rule scope :premises (@p997)) % 171.50/172.74 (step-pop @p1870 :rule scope :premises (@p1869)) % 171.50/172.74 (step-pop @p1871 :rule scope :premises (@p1870)) % 171.50/172.74 (step @p998 :rule process_scope :premises (@p1871) :args (@t755)) % 171.50/172.74 (step @p1002 :rule implies_elim :premises (@p998)) % 171.50/172.74 (step @p1003 :rule resolution :premises (@p1002 @p990) :args (true @t755)) % 171.50/172.74 (step @p1004 :rule not_and :premises (@p1003)) % 171.50/172.74 (step @p1005 :rule eq_resolve :premises (@p1004 @p978)) % 171.50/172.74 (step @p1006 :rule bool-double-not-elim :args (@t690)) % 171.50/172.74 (step @p1007 :rule refl :args (@t692)) % 171.50/172.74 (step @p1008 :rule nary_cong :premises (@p1007 @p1006) :args ((or @t692 (not @t691)))) % 171.50/172.74 (step @p1009 :rule cnf_or_neg :args (@t692 0)) % 171.50/172.74 (step @p1010 :rule eq_resolve :premises (@p1009 @p1008)) % 171.50/172.74 (step @p1011 :rule reordering :premises (@p1010) :args ((or @t690 @t692))) % 171.50/172.74 (step @p1012 :rule bool-double-not-elim :args (@t688)) % 171.50/172.74 (step @p1013 :rule nary_cong :premises (@p1007 @p1012) :args ((or @t692 (not @t689)))) % 171.50/172.74 (step @p1014 :rule cnf_or_neg :args (@t692 1)) % 171.50/172.74 (step @p1015 :rule eq_resolve :premises (@p1014 @p1013)) % 171.50/172.74 (step @p1016 :rule reordering :premises (@p1015) :args ((or @t688 @t692))) % 171.50/172.74 (step @p1017 :rule bool-double-not-elim :args (@t686)) % 171.50/172.74 (step @p1018 :rule nary_cong :premises (@p1007 @p1017) :args ((or @t692 (not @t687)))) % 171.50/172.74 (step @p1019 :rule cnf_or_neg :args (@t692 2)) % 171.50/172.74 (step @p1020 :rule eq_resolve :premises (@p1019 @p1018)) % 171.50/172.74 (step @p1021 :rule reordering :premises (@p1020) :args ((or @t686 @t692))) % 171.50/172.74 (step @p1022 :rule bool-double-not-elim :args (@t684)) % 171.50/172.74 (step @p1023 :rule nary_cong :premises (@p1007 @p1022) :args ((or @t692 (not @t685)))) % 171.50/172.74 (step @p1024 :rule cnf_or_neg :args (@t692 3)) % 171.50/172.74 (step @p1025 :rule eq_resolve :premises (@p1024 @p1023)) % 171.50/172.74 (step @p1026 :rule reordering :premises (@p1025) :args ((or @t684 @t692))) % 171.50/172.74 (assume-push @p1872 @t690) % 171.50/172.74 (step @p1028 :rule instantiate :premises (@p1872) :args ((@list @t756))) % 171.50/172.74 (step-pop @p1873 :rule scope :premises (@p1028)) % 171.50/172.74 (step @p1029 :rule process_scope :premises (@p1873) :args (@t760)) % 171.50/172.74 (step @p1031 :rule implies_elim :premises (@p1029)) % 171.50/172.74 (step @p1032 :rule bool-double-not-elim :args (@t761)) % 171.50/172.74 (step @p1033 :rule refl :args (@t763)) % 171.50/172.74 (step @p1034 :rule nary_cong :premises (@p1033 @p1032) :args ((or @t763 (not @t762)))) % 171.50/172.74 (step @p1035 :rule cnf_or_neg :args (@t763 0)) % 171.50/172.74 (step @p1036 :rule eq_resolve :premises (@p1035 @p1034)) % 171.50/172.74 (step @p1037 :rule reordering :premises (@p1036) :args ((or @t761 @t763))) % 171.50/172.74 (step @p1038 :rule cnf_or_neg :args (@t763 1)) % 171.50/172.74 (step @p1039 :rule cnf_or_pos :args (@t760)) % 171.50/172.74 (step @p1040 :rule reordering :premises (@p1039) :args ((or @t757 @t759 @t764))) % 171.50/172.74 (assume-push @p1874 @t761) % 171.50/172.74 (assume-push @p1875 @t744) % 171.50/172.74 (assume-push @p1876 @t761) % 171.50/172.74 (assume-push @p1877 @t744) % 171.50/172.74 (step @p1045 :rule true_intro :premises (@p1874)) % 171.50/172.74 (step @p1046 :rule refl :args (@t756)) % 171.50/172.74 (step @p1047 :rule symm :premises (@p1875)) % 171.50/172.74 (step @p1048 :rule cong :premises (@p1047 @p1046) :args (@t758)) % 171.50/172.74 (step @p1049 :rule trans :premises (@p1048 @p1045)) % 171.50/172.74 (step @p1050 :rule true_elim :premises (@p1049)) % 171.50/172.74 (step-pop @p1878 :rule scope :premises (@p1050)) % 171.50/172.74 (step-pop @p1879 :rule scope :premises (@p1878)) % 171.50/172.74 (step @p1051 :rule process_scope :premises (@p1879) :args (@t758)) % 171.50/172.74 (step @p1054 :rule and_intro :premises (@p1874 @p1875)) % 171.50/172.74 (step @p1055 :rule modus_ponens :premises (@p1054 @p1051)) % 171.50/172.74 (step-pop @p1880 :rule scope :premises (@p1055)) % 171.50/172.74 (step-pop @p1881 :rule scope :premises (@p1880)) % 171.50/172.74 (step @p1056 :rule process_scope :premises (@p1881) :args (@t758)) % 171.50/172.74 (step @p1059 :rule implies_elim :premises (@p1056)) % 171.50/172.74 (step @p1060 :rule cnf_and_neg :args (@t765)) % 171.50/172.74 (step @p1061 :rule resolution :premises (@p1060 @p1059) :args (true @t765)) % 171.50/172.74 (step @p1062 :rule chain_m_resolution :premises (@p1061 @p967 @p1040 @p1038 @p1037) :args ((or @t763 @t764) @t766 (@list @t744 @t758 @t757 @t761))) % 171.50/172.74 (step @p1063 :rule refl :args (@t767)) % 171.50/172.74 (step @p1064 :rule bool-double-not-elim :args (@t268)) % 171.50/172.74 (step @p1065 :rule nary_cong :premises (@p1064 @p1063) :args ((or (not @t768) @t767))) % 171.50/172.74 (assume-push @p1882 @t768) % 171.50/172.74 (step @p1067 :rule skolemize :premises (@p1882)) % 171.50/172.74 (step-pop @p1883 :rule scope :premises (@p1067)) % 171.50/172.74 (step @p1068 :rule process_scope :premises (@p1883) :args (@t767)) % 171.50/172.74 (step @p1070 :rule implies_elim :premises (@p1068)) % 171.50/172.74 (step @p1071 :rule eq_resolve :premises (@p1070 @p1065)) % 171.50/172.74 (assume-push @p1884 @t688) % 171.50/172.74 (step @p1073 :rule instantiate :premises (@p1884) :args ((@list @t769))) % 171.50/172.74 (step-pop @p1885 :rule scope :premises (@p1073)) % 171.50/172.74 (step @p1074 :rule process_scope :premises (@p1885) :args (@t773)) % 171.50/172.74 (step @p1076 :rule implies_elim :premises (@p1074)) % 171.50/172.74 (step @p1077 :rule bool-double-not-elim :args (@t774)) % 171.50/172.74 (step @p1078 :rule refl :args (@t776)) % 171.50/172.74 (step @p1079 :rule nary_cong :premises (@p1078 @p1077) :args ((or @t776 (not @t775)))) % 171.50/172.74 (step @p1080 :rule cnf_or_neg :args (@t776 0)) % 171.50/172.74 (step @p1081 :rule eq_resolve :premises (@p1080 @p1079)) % 171.50/172.74 (step @p1082 :rule reordering :premises (@p1081) :args ((or @t774 @t776))) % 171.50/172.74 (step @p1083 :rule cnf_or_neg :args (@t776 1)) % 171.50/172.74 (step @p1084 :rule cnf_or_pos :args (@t773)) % 171.50/172.74 (step @p1085 :rule reordering :premises (@p1084) :args ((or @t770 @t772 @t777))) % 171.50/172.74 (assume-push @p1886 @t744) % 171.50/172.74 (assume-push @p1887 @t774) % 171.50/172.74 (assume-push @p1888 @t774) % 171.50/172.74 (assume-push @p1889 @t744) % 171.50/172.74 (step @p1090 :rule true_intro :premises (@p1887)) % 171.50/172.74 (step @p1091 :rule refl :args (@t769)) % 171.50/172.74 (step @p1092 :rule symm :premises (@p1886)) % 171.50/172.74 (step @p1093 :rule cong :premises (@p1092 @p1091) :args (@t771)) % 171.50/172.74 (step @p1094 :rule trans :premises (@p1093 @p1090)) % 171.50/172.74 (step @p1095 :rule true_elim :premises (@p1094)) % 171.50/172.74 (step-pop @p1890 :rule scope :premises (@p1095)) % 171.50/172.74 (step-pop @p1891 :rule scope :premises (@p1890)) % 171.50/172.74 (step @p1096 :rule process_scope :premises (@p1891) :args (@t771)) % 171.50/172.74 (step @p1099 :rule and_intro :premises (@p1887 @p1886)) % 171.50/172.74 (step @p1100 :rule modus_ponens :premises (@p1099 @p1096)) % 171.50/172.74 (step-pop @p1892 :rule scope :premises (@p1100)) % 171.50/172.74 (step-pop @p1893 :rule scope :premises (@p1892)) % 171.50/172.74 (step @p1101 :rule process_scope :premises (@p1893) :args (@t771)) % 171.50/172.74 (step @p1104 :rule implies_elim :premises (@p1101)) % 171.50/172.74 (step @p1105 :rule cnf_and_neg :args (@t778)) % 171.50/172.74 (step @p1106 :rule resolution :premises (@p1105 @p1104) :args (true @t778)) % 171.50/172.74 (step @p1107 :rule chain_m_resolution :premises (@p1106 @p967 @p1085 @p1083 @p1082) :args ((or @t776 @t777) @t766 (@list @t744 @t771 @t770 @t774))) % 171.50/172.74 (step @p1108 :rule refl :args (@t779)) % 171.50/172.74 (step @p1109 :rule bool-double-not-elim :args (@t267)) % 171.50/172.74 (step @p1110 :rule nary_cong :premises (@p1109 @p1108) :args ((or (not @t780) @t779))) % 171.50/172.74 (assume-push @p1894 @t780) % 171.50/172.74 (step @p1112 :rule skolemize :premises (@p1894)) % 171.50/172.74 (step-pop @p1895 :rule scope :premises (@p1112)) % 171.50/172.74 (step @p1113 :rule process_scope :premises (@p1895) :args (@t779)) % 171.50/172.74 (step @p1115 :rule implies_elim :premises (@p1113)) % 171.50/172.74 (step @p1116 :rule eq_resolve :premises (@p1115 @p1110)) % 171.50/172.74 (assume-push @p1896 @t686) % 171.50/172.74 (step @p1118 :rule instantiate :premises (@p1896) :args ((@list @t781))) % 171.50/172.74 (step-pop @p1897 :rule scope :premises (@p1118)) % 171.50/172.74 (step @p1119 :rule process_scope :premises (@p1897) :args (@t785)) % 171.50/172.74 (step @p1121 :rule implies_elim :premises (@p1119)) % 171.50/172.74 (step @p1122 :rule bool-double-not-elim :args (@t786)) % 171.50/172.74 (step @p1123 :rule refl :args (@t788)) % 171.50/172.74 (step @p1124 :rule nary_cong :premises (@p1123 @p1122) :args ((or @t788 (not @t787)))) % 171.50/172.74 (step @p1125 :rule cnf_or_neg :args (@t788 0)) % 171.50/172.74 (step @p1126 :rule eq_resolve :premises (@p1125 @p1124)) % 171.50/172.74 (step @p1127 :rule reordering :premises (@p1126) :args ((or @t786 @t788))) % 171.50/172.74 (step @p1128 :rule cnf_or_neg :args (@t788 1)) % 171.50/172.74 (step @p1129 :rule cnf_or_pos :args (@t785)) % 171.50/172.74 (step @p1130 :rule reordering :premises (@p1129) :args ((or @t782 @t784 @t789))) % 171.50/172.74 (assume-push @p1898 @t744) % 171.50/172.74 (assume-push @p1899 @t786) % 171.50/172.74 (assume-push @p1900 @t786) % 171.50/172.74 (assume-push @p1901 @t744) % 171.50/172.74 (step @p1135 :rule true_intro :premises (@p1899)) % 171.50/172.74 (step @p1136 :rule refl :args (@t781)) % 171.50/172.74 (step @p1137 :rule symm :premises (@p1898)) % 171.50/172.74 (step @p1138 :rule cong :premises (@p1137 @p1136) :args (@t783)) % 171.50/172.74 (step @p1139 :rule trans :premises (@p1138 @p1135)) % 171.50/172.74 (step @p1140 :rule true_elim :premises (@p1139)) % 171.50/172.74 (step-pop @p1902 :rule scope :premises (@p1140)) % 171.50/172.74 (step-pop @p1903 :rule scope :premises (@p1902)) % 171.50/172.74 (step @p1141 :rule process_scope :premises (@p1903) :args (@t783)) % 171.50/172.74 (step @p1144 :rule and_intro :premises (@p1899 @p1898)) % 171.50/172.74 (step @p1145 :rule modus_ponens :premises (@p1144 @p1141)) % 171.50/172.74 (step-pop @p1904 :rule scope :premises (@p1145)) % 171.50/172.74 (step-pop @p1905 :rule scope :premises (@p1904)) % 171.50/172.74 (step @p1146 :rule process_scope :premises (@p1905) :args (@t783)) % 171.50/172.74 (step @p1149 :rule 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171.50/172.74 (step @p1703 :rule chain_m_resolution :premises (@p1702 @p1697) :args (@t911 @t743 (@list @t713))) % 171.50/172.74 (step @p1704 :rule cnf_or_pos :args (@t911)) % 171.50/172.74 (step @p1705 :rule reordering :premises (@p1704) :args ((or @t906 @t910 (not @t911)))) % 171.50/172.74 (assume-push @p2042 @t744) % 171.50/172.74 (assume-push @p2043 @t905) % 171.50/172.74 (assume-push @p2044 @t905) % 171.50/172.74 (assume-push @p2045 @t744) % 171.50/172.74 (step @p1710 :rule true_intro :premises (@p2043)) % 171.50/172.74 (step @p1711 :rule refl :args (@t904)) % 171.50/172.74 (step @p1712 :rule symm :premises (@p2042)) % 171.50/172.74 (step @p1713 :rule cong :premises (@p1712 @p1711) :args (@t909)) % 171.50/172.74 (step @p1714 :rule trans :premises (@p1713 @p1710)) % 171.50/172.74 (step @p1715 :rule true_elim :premises (@p1714)) % 171.50/172.74 (step-pop @p2046 :rule scope :premises (@p1715)) % 171.50/172.74 (step-pop @p2047 :rule scope :premises (@p2046)) % 171.50/172.74 (step 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@t933))) % 171.50/172.75 (assume-push @p2064 @t927) % 171.50/172.75 (step @p1798 :rule skolemize :premises (@p2064)) % 171.50/172.75 (step-pop @p2065 :rule scope :premises (@p1798)) % 171.50/172.75 (step @p1799 :rule process_scope :premises (@p2065) :args (@t933)) % 171.50/172.75 (step @p1801 :rule implies_elim :premises (@p1799)) % 171.50/172.75 (step @p1802 :rule eq_resolve :premises (@p1801 @p1796)) % 171.50/172.75 (step @p1803 :rule chain_m_resolution :premises (@p1802 @p1793) :args (@t933 @t723 (@list @t280))) % 171.50/172.75 (step @p1804 :rule bool-double-not-elim :args (@t930)) % 171.50/172.75 (step @p1805 :rule refl :args (@t932)) % 171.50/172.75 (step @p1806 :rule nary_cong :premises (@p1805 @p1804) :args ((or @t932 (not @t931)))) % 171.50/172.75 (step @p1807 :rule cnf_or_neg :args (@t932 0)) % 171.50/172.75 (step @p1808 :rule eq_resolve :premises (@p1807 @p1806)) % 171.50/172.75 (step @p1809 :rule reordering :premises (@p1808) :args ((or @t930 @t932))) % 171.50/172.75 (step @p1810 :rule chain_m_resolution :premises (@p1809 @p1803) :args (@t930 @t723 @t934)) % 171.50/172.75 (step @p1811 :rule bool-double-not-elim :args (@t717)) % 171.50/172.75 (step @p1812 :rule nary_cong :premises (@p1660 @p1811) :args ((or @t719 (not @t718)))) % 171.50/172.75 (step @p1813 :rule cnf_or_neg :args (@t719 0)) % 171.50/172.75 (step @p1814 :rule eq_resolve :premises (@p1813 @p1812)) % 171.50/172.75 (step @p1815 :rule reordering :premises (@p1814) :args ((or @t717 @t719))) % 171.50/172.75 (step @p1816 :rule chain_m_resolution :premises (@p1815 @p1658) :args (@t717 @t723 @t900)) % 171.50/172.75 (assume-push @p2066 @t717) % 171.50/172.75 (step @p1818 :rule instantiate :premises (@p2066) :args ((@list @t928))) % 171.50/172.75 (step-pop @p2067 :rule scope :premises (@p1818)) % 171.50/172.75 (step @p1819 :rule process_scope :premises (@p2067) :args (@t937)) % 171.50/172.75 (step @p1821 :rule implies_elim :premises (@p1819)) % 171.50/172.75 (step @p1822 :rule chain_m_resolution :premises (@p1821 @p1816) :args (@t937 @t743 (@list @t717))) % 171.50/172.75 (step @p1823 :rule cnf_or_neg :args (@t932 1)) % 171.50/172.75 (step @p1824 :rule chain_m_resolution :premises (@p1823 @p1803) :args ((not @t929) @t723 @t934)) % 171.50/172.75 (step @p1825 :rule cnf_or_pos :args (@t937)) % 171.50/172.75 (step @p1826 :rule reordering :premises (@p1825) :args ((or @t929 @t936 (not @t937)))) % 171.50/172.75 (step @p1827 :rule chain_m_resolution :premises (@p1826 @p1824 @p1822) :args (@t936 (@list true false) (@list @t929 @t937))) % 171.50/172.75 (step @p1828 :rule bool-double-not-elim :args (@t935)) % 171.50/172.75 (step @p1829 :rule refl :args (@t931)) % 171.50/172.75 (step @p1830 :rule nary_cong :premises (@p976 @p1829 @p1828) :args ((or @t752 @t931 (not @t936)))) % 171.50/172.75 (assume-push @p2068 @t936) % 171.50/172.75 (assume-push @p2069 @t744) % 171.50/172.75 (assume-push @p2070 @t930) % 171.50/172.75 (step @p982 :rule evaluate :args (@t754)) % 171.50/172.75 (step @p1834 :rule false_intro :premises (@p2068)) % 171.50/172.75 (step @p1835 :rule refl :args (@t928)) % 171.50/172.75 (step @p1836 :rule cong :premises (@p2069 @p1835) :args (@t930)) % 171.50/172.75 (step @p1837 :rule true_intro :premises (@p2070)) % 171.50/172.75 (step @p1838 :rule symm :premises (@p1837)) % 171.50/172.75 (step @p1839 :rule trans :premises (@p1838 @p1836 @p1834)) % 171.50/172.75 (step @p1840 false :rule eq_resolve :premises (@p1839 @p982)) % 171.50/172.75 (step-pop @p2071 :rule scope :premises (@p1840)) % 171.50/172.75 (step-pop @p2072 :rule scope :premises (@p2071)) % 171.50/172.75 (step-pop @p2073 :rule scope :premises (@p2072)) % 171.50/172.75 (step @p1841 :rule process_scope :premises (@p2073) :args (false)) % 171.50/172.75 (assume-push @p2074 @t744) % 171.50/172.75 (assume-push @p2075 @t930) % 171.50/172.75 (assume-push @p2076 @t936) % 171.50/172.75 (step @p1848 :rule and_intro :premises (@p2076 @p2074 @p2075)) % 171.50/172.75 (step-pop @p2077 :rule scope :premises (@p1848)) % 171.50/172.75 (step-pop @p2078 :rule scope :premises (@p2077)) % 171.50/172.75 (step-pop @p2079 :rule scope :premises (@p2078)) % 171.50/172.75 (step @p1849 :rule process_scope :premises (@p2079) :args (@t938)) % 171.50/172.75 (step @p1853 :rule implies_elim :premises (@p1849)) % 171.50/172.75 (step @p1854 :rule resolution :premises (@p1853 @p1841) :args (true @t938)) % 171.50/172.75 (step @p1855 :rule not_and :premises (@p1854)) % 171.50/172.75 (step @p1856 :rule eq_resolve :premises (@p1855 @p1830)) % 171.50/172.75 (step @p1857 false :rule chain_m_resolution :premises (@p1856 @p1827 @p1810 @p967) :args (false (@list true false false) (@list @t935 @t930 @t744))) % 171.50/172.75 ) % 171.50/172.75 % SZS output end Proof % 171.50/172.75 % cvc5 exiting %------------------------------------------------------------------------------