%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA053^5 : TPTP v9.2.1. 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 : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:43:30 AM UTC 2026 % Result : Theorem 150.76s 151.11s % Output : Proof 150.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA053^5 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:05:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 150.76/151.11 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.76/151.11 --- 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... % 150.76/151.11 --- 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... % 150.76/151.11 --- Run --ho-elim --full-saturate-quant at 18s... % 150.76/151.11 % SZS status Theorem % 150.76/151.11 % SZS output start Proof % 150.76/151.11 ( % 150.76/151.11 (declare-sort tptp.mworld 0) % 150.76/151.11 (declare-sort $$unsorted 0) % 150.76/151.11 (declare-const tptp.mactual tptp.mworld) % 150.76/151.11 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 150.76/151.11 (declare-const tptp.defused (-> $$unsorted tptp.mworld Bool)) % 150.76/151.11 (declare-const tptp.h (-> $$unsorted tptp.mworld Bool)) % 150.76/151.11 (declare-const tptp.bomb (-> $$unsorted tptp.mworld Bool)) % 150.76/151.11 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 150.76/151.11 (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)))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (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)))))))) % 150.76/151.11 (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)))))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (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))))))) % 150.76/151.11 (define @t1 () (@var "W" tptp.mworld)) % 150.76/151.11 (define @t2 () (_ tptp.mrel @t1)) % 150.76/151.11 (define @t3 () (_ @t2 @t1)) % 150.76/151.11 (define @t4 () (@list @t1)) % 150.76/151.11 (define @t5 () (forall @t4 @t3)) % 150.76/151.11 (define @t6 () (@var "V" tptp.mworld)) % 150.76/151.11 (define @t7 () (@var "U" tptp.mworld)) % 150.76/151.11 (define @t8 () (_ @t2 @t6)) % 150.76/151.11 (define @t9 () (@var "__flatten_var_0" tptp.mworld)) % 150.76/151.11 (define @t10 () (@var "B" $$unsorted)) % 150.76/151.11 (define @t11 () (@var "X" $$unsorted)) % 150.76/151.11 (define @t12 () (_ tptp.bomb @t11)) % 150.76/151.11 (define @t13 () (@var "A" $$unsorted)) % 150.76/151.11 (define @t14 () (_ tptp.mand @t12)) % 150.76/151.11 (define @t15 () (@list @t11 @t9)) % 150.76/151.11 (define @t16 () (_ tptp.defused @t11)) % 150.76/151.11 (define @t17 () (@var "D" $$unsorted)) % 150.76/151.11 (define @t18 () (_ tptp.h @t17)) % 150.76/151.11 (define @t19 () (_ (_ tptp.mimplies (_ @t14 @t18)) @t16)) % 150.76/151.11 (define @t20 () (@list @t17 @t9)) % 150.76/151.11 (define @t21 () (lambda @t20 (_ (_ tptp.mbox @t19) @t9))) % 150.76/151.11 (define @t22 () (lambda @t15 (_ (_ tptp.mexists_di @t21) @t9))) % 150.76/151.11 (define @t23 () (lambda @t20 (_ @t19 @t9))) % 150.76/151.11 (define @t24 () (lambda @t15 (_ (_ tptp.mexists_di @t23) @t9))) % 150.76/151.11 (define @t25 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t24))))) % 150.76/151.11 (define @t26 () (@var "Phi" (-> tptp.mworld Bool))) % 150.76/151.11 (define @t27 () (lambda (@list @t26) (_ @t26 tptp.mactual))) % 150.76/151.11 (define @t28 () (@var "A" (-> tptp.mworld Bool))) % 150.76/151.11 (define @t29 () (_ @t28 @t1)) % 150.76/151.11 (define @t30 () (lambda (@list @t28 @t1) (not @t29))) % 150.76/151.11 (define @t31 () (@var "B" (-> tptp.mworld Bool))) % 150.76/151.11 (define @t32 () (_ @t31 @t1)) % 150.76/151.11 (define @t33 () (@list @t28 @t31 @t1)) % 150.76/151.11 (define @t34 () (lambda @t33 (and @t29 @t32))) % 150.76/151.11 (define @t35 () (lambda @t33 (or @t29 @t32))) % 150.76/151.11 (define @t36 () (lambda @t33 (=> @t29 @t32))) % 150.76/151.11 (define @t37 () (lambda @t33 (= @t29 @t32))) % 150.76/151.11 (define @t38 () (_ @t26 @t6)) % 150.76/151.11 (define @t39 () (@list @t6)) % 150.76/151.11 (define @t40 () (forall @t39 (=> @t8 @t38))) % 150.76/151.11 (define @t41 () (@list @t26 @t1)) % 150.76/151.11 (define @t42 () (lambda @t41 @t40)) % 150.76/151.11 (define @t43 () (lambda @t41 (exists @t39 (and @t8 @t38)))) % 150.76/151.11 (define @t44 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 150.76/151.11 (define @t45 () (_ (_ @t44 @t11) @t1)) % 150.76/151.11 (define @t46 () (@list @t11)) % 150.76/151.11 (define @t47 () (forall @t46 @t45)) % 150.76/151.11 (define @t48 () (@list @t44 @t1)) % 150.76/151.11 (define @t49 () (lambda @t48 @t47)) % 150.76/151.11 (define @t50 () (exists @t46 @t45)) % 150.76/151.11 (define @t51 () (lambda @t48 @t50)) % 150.76/151.11 (define @t52 () (@var "BOUND_VARIABLE_8069" $$unsorted)) % 150.76/151.11 (define @t53 () (@const 0 (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)))) % 150.76/151.11 (define @t54 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)) $$unsorted (@ho-elim-sort (-> tptp.mworld Bool))))) % 150.76/151.11 (define @t55 () (@const 2 (-> (@ho-elim-sort (-> tptp.mworld Bool)) tptp.mworld Bool))) % 150.76/151.11 (define @t56 () (@const 3 (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)))) % 150.76/151.11 (define @t57 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 150.76/151.11 (define @t58 () (@const 4 (@ho-elim-sort (-> $$unsorted tptp.mworld Bool)))) % 150.76/151.11 (define @t59 () (_ @t54 @t58 @t57)) % 150.76/151.11 (define @t60 () (@list @t57)) % 150.76/151.11 (define @t61 () (@const 5 (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool)))) % 150.76/151.11 (define @t62 () (@const 6 (-> (@ho-elim-sort (-> tptp.mworld tptp.mworld Bool)) tptp.mworld (@ho-elim-sort (-> tptp.mworld Bool))))) % 150.76/151.11 (define @t63 () (_ @t62 @t61 tptp.mactual)) % 150.76/151.11 (define @t64 () (not (_ @t55 @t63 @t6))) % 150.76/151.11 (define @t65 () (@list @t6 @t52)) % 150.76/151.11 (define @t66 () (forall @t65 (or @t64 (not (forall @t60 (_ @t55 @t59 @t6))) (not (_ @t55 (_ @t54 @t56 @t52) @t6)) (_ @t55 (_ @t54 @t53 @t52) @t6)))) % 150.76/151.11 (define @t67 () (tptp.defused @t52 @t6)) % 150.76/151.11 (define @t68 () (not (tptp.bomb @t52 @t6))) % 150.76/151.11 (define @t69 () (not (forall @t60 (tptp.h @t57 @t6)))) % 150.76/151.11 (define @t70 () (not (tptp.mrel tptp.mactual @t6))) % 150.76/151.11 (define @t71 () (forall @t65 (or @t70 @t69 @t68 @t67))) % 150.76/151.11 (define @t72 () (tptp.mrel @t1 @t6)) % 150.76/151.11 (define @t73 () (not @t72)) % 150.76/151.11 (define @t74 () (or @t73 @t69 @t68 @t67)) % 150.76/151.11 (define @t75 () (lambda @t4 (forall @t65 @t74))) % 150.76/151.11 (define @t76 () (_ @t75 tptp.mactual)) % 150.76/151.11 (define @t77 () (or @t68 @t67)) % 150.76/151.11 (define @t78 () (or @t73 @t69 @t77)) % 150.76/151.11 (define @t79 () (forall @t65 @t78)) % 150.76/151.11 (define @t80 () (@list @t52)) % 150.76/151.11 (define @t81 () (forall @t80 @t78)) % 150.76/151.11 (define @t82 () (forall @t80 @t77)) % 150.76/151.11 (define @t83 () (@list @t11)) % 150.76/151.11 (define @t84 () (or @t73 @t69 @t82)) % 150.76/151.11 (define @t85 () (tptp.defused @t11 @t6)) % 150.76/151.11 (define @t86 () (tptp.bomb @t11 @t6)) % 150.76/151.11 (define @t87 () (not @t86)) % 150.76/151.11 (define @t88 () (forall @t46 (or @t87 @t85))) % 150.76/151.11 (define @t89 () (or @t73 @t69 @t88)) % 150.76/151.11 (define @t90 () (or @t69 @t88)) % 150.76/151.11 (define @t91 () (tptp.defused @t11 @t1)) % 150.76/151.11 (define @t92 () (tptp.bomb @t11 @t1)) % 150.76/151.11 (define @t93 () (tptp.h @t57 @t1)) % 150.76/151.11 (define @t94 () (forall @t60 @t93)) % 150.76/151.11 (define @t95 () (not @t94)) % 150.76/151.11 (define @t96 () (lambda @t4 (or @t95 (forall @t46 (or (not @t92) @t91))))) % 150.76/151.11 (define @t97 () (_ @t96 @t6)) % 150.76/151.11 (define @t98 () (or @t73 @t97)) % 150.76/151.11 (define @t99 () (forall @t39 @t98)) % 150.76/151.11 (define @t100 () (lambda @t4 @t99)) % 150.76/151.11 (define @t101 () (_ @t26 @t6)) % 150.76/151.11 (define @t102 () (lambda @t41 (forall @t39 (or @t73 @t101)))) % 150.76/151.11 (define @t103 () (_ @t16 @t1)) % 150.76/151.11 (define @t104 () (_ @t12 @t1)) % 150.76/151.11 (define @t105 () (not @t104)) % 150.76/151.11 (define @t106 () (or @t105 @t103)) % 150.76/151.11 (define @t107 () (forall @t46 @t106)) % 150.76/151.11 (define @t108 () (or @t95 @t107)) % 150.76/151.11 (define @t109 () (or @t95 @t106)) % 150.76/151.11 (define @t110 () (or @t105 @t95 @t103)) % 150.76/151.11 (define @t111 () (not @t103)) % 150.76/151.11 (define @t112 () (not @t111)) % 150.76/151.11 (define @t113 () (or @t105 @t95 @t112)) % 150.76/151.11 (define @t114 () (not (and @t104 @t94 @t111))) % 150.76/151.11 (define @t115 () (_ @t16 @t9)) % 150.76/151.11 (define @t116 () (_ @t12 @t9)) % 150.76/151.11 (define @t117 () (not (and @t116 (forall @t60 (tptp.h @t57 @t9)) (not @t115)))) % 150.76/151.11 (define @t118 () (lambda @t15 @t117)) % 150.76/151.11 (define @t119 () (_ @t118 @t11 @t1)) % 150.76/151.11 (define @t120 () (forall @t46 @t119)) % 150.76/151.11 (define @t121 () (lambda @t4 @t120)) % 150.76/151.11 (define @t122 () (_ @t44 @t11 @t1)) % 150.76/151.11 (define @t123 () (lambda @t48 (forall @t46 @t122))) % 150.76/151.11 (define @t124 () (_ (_ tptp.h @t57) @t1)) % 150.76/151.11 (define @t125 () (forall @t60 @t124)) % 150.76/151.11 (define @t126 () (@var "BOUND_VARIABLE_7994" $$unsorted)) % 150.76/151.11 (define @t127 () (@list @t126)) % 150.76/151.11 (define @t128 () (forall @t127 @t111)) % 150.76/151.11 (define @t129 () (_ (_ tptp.h @t126) @t1)) % 150.76/151.11 (define @t130 () (forall @t127 @t129)) % 150.76/151.11 (define @t131 () (@list @t126)) % 150.76/151.11 (define @t132 () (forall @t127 @t104)) % 150.76/151.11 (define @t133 () (and @t132 @t130 @t128)) % 150.76/151.11 (define @t134 () (and @t104 @t129 @t111)) % 150.76/151.11 (define @t135 () (and @t104 @t129)) % 150.76/151.11 (define @t136 () (=> @t135 @t103)) % 150.76/151.11 (define @t137 () (=> (and @t116 (_ @t18 @t9)) @t115)) % 150.76/151.11 (define @t138 () (lambda @t20 @t137)) % 150.76/151.11 (define @t139 () (_ @t138 @t126 @t1)) % 150.76/151.11 (define @t140 () (not @t139)) % 150.76/151.11 (define @t141 () (forall @t127 @t140)) % 150.76/151.11 (define @t142 () (not @t141)) % 150.76/151.11 (define @t143 () (lambda @t4 @t142)) % 150.76/151.11 (define @t144 () (forall @t46 (not @t122))) % 150.76/151.11 (define @t145 () (not @t144)) % 150.76/151.11 (define @t146 () (lambda @t48 @t145)) % 150.76/151.11 (define @t147 () (and @t104 (_ @t18 @t1))) % 150.76/151.11 (define @t148 () (lambda @t4 (=> @t147 @t103))) % 150.76/151.11 (define @t149 () (@list @t31 @t1)) % 150.76/151.11 (define @t150 () (lambda @t4 @t147)) % 150.76/151.11 (define @t151 () (_ @t150 @t1)) % 150.76/151.11 (define @t152 () (=> @t151 @t32)) % 150.76/151.11 (define @t153 () (lambda @t149 @t152)) % 150.76/151.11 (define @t154 () (lambda @t149 (and @t104 @t32))) % 150.76/151.11 (define @t155 () (_ @t34 @t12)) % 150.76/151.11 (define @t156 () (_ (_ @t36 (_ @t155 @t18)) @t16)) % 150.76/151.11 (define @t157 () (lambda @t20 (_ @t156 @t9))) % 150.76/151.11 (define @t158 () (lambda @t15 (_ (_ @t146 @t157) @t9))) % 150.76/151.11 (define @t159 () (not @t45)) % 150.76/151.11 (define @t160 () (forall @t46 @t159)) % 150.76/151.11 (define @t161 () (not @t160)) % 150.76/151.11 (define @t162 () (not @t8)) % 150.76/151.11 (define @t163 () (or @t162 @t38)) % 150.76/151.11 (define @t164 () (@quantifiers_skolemize @t66 0)) % 150.76/151.11 (define @t165 () (forall @t60 (_ @t55 @t59 @t164))) % 150.76/151.11 (define @t166 () (@quantifiers_skolemize @t66 1)) % 150.76/151.11 (define @t167 () (_ @t54 @t53 @t166)) % 150.76/151.11 (define @t168 () (_ @t55 @t167 @t164)) % 150.76/151.11 (define @t169 () (_ @t54 @t56 @t166)) % 150.76/151.11 (define @t170 () (_ @t55 @t169 @t164)) % 150.76/151.11 (define @t171 () (not @t170)) % 150.76/151.11 (define @t172 () (not @t165)) % 150.76/151.11 (define @t173 () (_ @t55 @t63 @t164)) % 150.76/151.11 (define @t174 () (not @t173)) % 150.76/151.11 (define @t175 () (or @t174 @t172 @t171 @t168)) % 150.76/151.11 (define @t176 () (@list true)) % 150.76/151.11 (define @t177 () (@list @t175)) % 150.76/151.11 (define @t178 () (@var "BOUND_VARIABLE_7930" tptp.mworld)) % 150.76/151.11 (define @t179 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 150.76/151.11 (define @t180 () (@var "BOUND_VARIABLE_7889" $$unsorted)) % 150.76/151.11 (define @t181 () (not (_ @t55 (_ @t54 @t58 @t180) @t178))) % 150.76/151.11 (define @t182 () (@list @t178)) % 150.76/151.11 (define @t183 () (@list @t180)) % 150.76/151.11 (define @t184 () (@list @t6 @t179)) % 150.76/151.11 (define @t185 () (not (tptp.h @t180 @t178))) % 150.76/151.11 (define @t186 () (not (tptp.mrel @t6 @t178))) % 150.76/151.11 (define @t187 () (not (forall @t183 (not (forall @t182 (or @t186 (not (tptp.bomb @t179 @t178)) @t185 (tptp.defused @t179 @t178))))))) % 150.76/151.11 (define @t188 () (forall @t184 (or @t70 @t187))) % 150.76/151.11 (define @t189 () (or @t73 @t187)) % 150.76/151.11 (define @t190 () (forall @t184 @t189)) % 150.76/151.11 (define @t191 () (lambda @t4 @t190)) % 150.76/151.11 (define @t192 () (_ @t191 tptp.mactual)) % 150.76/151.11 (define @t193 () (@list @t179)) % 150.76/151.11 (define @t194 () (forall @t193 @t189)) % 150.76/151.11 (define @t195 () (forall @t193 @t187)) % 150.76/151.11 (define @t196 () (or @t73 @t195)) % 150.76/151.11 (define @t197 () (tptp.defused @t11 @t178)) % 150.76/151.11 (define @t198 () (not (tptp.bomb @t11 @t178))) % 150.76/151.11 (define @t199 () (forall @t46 (not (forall @t183 (not (forall @t182 (or @t186 @t198 @t185 @t197))))))) % 150.76/151.11 (define @t200 () (not (tptp.h @t180 @t6))) % 150.76/151.11 (define @t201 () (forall @t39 (or @t73 @t87 @t200 @t85))) % 150.76/151.11 (define @t202 () (not @t201)) % 150.76/151.11 (define @t203 () (forall @t183 @t202)) % 150.76/151.11 (define @t204 () (not @t203)) % 150.76/151.11 (define @t205 () (forall @t46 @t204)) % 150.76/151.11 (define @t206 () (lambda @t4 @t205)) % 150.76/151.11 (define @t207 () (or @t73 (_ @t206 @t6))) % 150.76/151.11 (define @t208 () (forall @t39 @t207)) % 150.76/151.11 (define @t209 () (lambda @t4 @t208)) % 150.76/151.11 (define @t210 () (not (tptp.mrel @t9 @t6))) % 150.76/151.11 (define @t211 () (not (forall @t183 (not (forall @t39 (or @t210 @t87 @t200 @t85)))))) % 150.76/151.11 (define @t212 () (lambda @t15 @t211)) % 150.76/151.11 (define @t213 () (_ @t212 @t11 @t1)) % 150.76/151.11 (define @t214 () (forall @t46 @t213)) % 150.76/151.11 (define @t215 () (lambda @t4 @t214)) % 150.76/151.11 (define @t216 () (tptp.h @t17 @t6)) % 150.76/151.11 (define @t217 () (not @t216)) % 150.76/151.11 (define @t218 () (forall @t39 (or @t210 @t87 @t217 @t85))) % 150.76/151.11 (define @t219 () (lambda @t20 @t218)) % 150.76/151.11 (define @t220 () (_ @t219 @t180 @t1)) % 150.76/151.11 (define @t221 () (not @t220)) % 150.76/151.11 (define @t222 () (forall @t183 @t221)) % 150.76/151.11 (define @t223 () (not @t222)) % 150.76/151.11 (define @t224 () (lambda @t4 @t223)) % 150.76/151.11 (define @t225 () (_ @t16 @t6)) % 150.76/151.11 (define @t226 () (_ @t18 @t6)) % 150.76/151.11 (define @t227 () (not @t226)) % 150.76/151.11 (define @t228 () (_ @t12 @t6)) % 150.76/151.11 (define @t229 () (not @t228)) % 150.76/151.11 (define @t230 () (or @t73 @t229 @t227 @t225)) % 150.76/151.11 (define @t231 () (or @t229 @t227 @t225)) % 150.76/151.11 (define @t232 () (and @t228 @t226)) % 150.76/151.11 (define @t233 () (=> @t232 @t225)) % 150.76/151.11 (define @t234 () (or @t73 @t233)) % 150.76/151.11 (define @t235 () (_ @t148 @t6)) % 150.76/151.11 (define @t236 () (or @t73 @t235)) % 150.76/151.11 (define @t237 () (forall @t39 @t236)) % 150.76/151.11 (define @t238 () (lambda @t4 @t237)) % 150.76/151.11 (define @t239 () (lambda @t20 (_ (_ @t102 @t156) @t9))) % 150.76/151.11 (define @t240 () (tptp.mrel @t1 @t1)) % 150.76/151.11 (define @t241 () (_ @t55 @t167 @t178)) % 150.76/151.11 (define @t242 () (not (_ @t55 @t169 @t178))) % 150.76/151.11 (define @t243 () (not (_ @t55 @t63 @t178))) % 150.76/151.11 (define @t244 () (forall @t183 (not (forall @t182 (or @t243 @t242 @t181 @t241))))) % 150.76/151.11 (define @t245 () (not @t244)) % 150.76/151.11 (define @t246 () (_ @t55 @t63 tptp.mactual)) % 150.76/151.11 (define @t247 () (not @t246)) % 150.76/151.11 (define @t248 () (or @t247 @t245)) % 150.76/151.11 (define @t249 () (@quantifiers_skolemize @t244 0)) % 150.76/151.11 (define @t250 () (_ @t54 @t58 @t249)) % 150.76/151.11 (define @t251 () (forall @t182 (or @t243 @t242 (not (_ @t55 @t250 @t178)) @t241))) % 150.76/151.11 (define @t252 () (not (not @t251))) % 150.76/151.11 (define @t253 () (_ @t55 @t250 @t164)) % 150.76/151.11 (define @t254 () (not @t253)) % 150.76/151.11 (define @t255 () (or @t174 @t171 @t254 @t168)) % 150.76/151.11 (assume @p1 @t5) % 150.76/151.11 (assume @p2 (forall (@list @t1 @t6 @t7) (=> (and (_ @t2 @t7) @t8) (_ (_ tptp.mrel @t7) @t6)))) % 150.76/151.11 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di (lambda (@list @t10 @t9) (_ (_ tptp.bomb @t10) @t9)))))) % 150.76/151.11 (assume @p4 (_ tptp.mlocal (_ tptp.mexists_di (lambda (@list @t13 @t9) (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t15 (_ (_ (_ tptp.mimplies (_ @t14 (_ tptp.h @t13))) (_ tptp.mbox @t12)) @t9)))) @t9))))) % 150.76/151.11 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t22)))) % 150.76/151.11 (assume @p6 @t25) % 150.76/151.11 (assume @p7 true) % 150.76/151.11 (step @p8 (= tptp.mlocal @t27) :rule refl :args (@t27)) % 150.76/151.11 (step @p9 (= tptp.mnot @t30) :rule refl :args (@t30)) % 150.76/151.11 (step @p10 (= tptp.mand @t34) :rule refl :args (@t34)) % 150.76/151.11 (step @p11 (= tptp.mor @t35) :rule refl :args (@t35)) % 150.76/151.11 (step @p12 (= tptp.mimplies @t36) :rule refl :args (@t36)) % 150.76/151.11 (step @p13 (= tptp.mequiv @t37) :rule refl :args (@t37)) % 150.76/151.11 (step @p14 (= tptp.mbox @t42) :rule refl :args (@t42)) % 150.76/151.11 (step @p15 (= tptp.mdia @t43) :rule refl :args (@t43)) % 150.76/151.11 (step @p16 (= tptp.mforall_di @t49) :rule refl :args (@t49)) % 150.76/151.11 (step @p17 (= tptp.mexists_di @t51) :rule refl :args (@t51)) % 150.76/151.11 ; WARNING: add trust step for TRUST % 150.76/151.11 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.11 (step @p18 :rule trust :premises () :args ((= (not @t71) (not @t66)))) % 150.76/151.11 (step @p19 :rule beta-reduce :args ((= @t76 @t71))) % 150.76/151.11 (step @p20 :rule beta-reduce :args ((= (_ @t27 @t75) @t76))) % 150.76/151.11 (step @p21 :rule trans :premises (@p20 @p19)) % 150.76/151.11 (step @p22 :rule aci_norm :args ((= @t78 @t74))) % 150.76/151.11 (step @p23 :rule cong :premises (@p22) :args (@t79)) % 150.76/151.11 (step @p24 :rule quant-merge-prenex :args ((= (forall @t39 @t81) @t79))) % 150.76/151.11 (step @p25 :rule alpha_equiv :args (@t82 (@list @t52) @t83)) % 150.76/151.11 (step @p26 :rule refl :args (@t69)) % 150.76/151.11 (step @p27 :rule refl :args (@t73)) % 150.76/151.11 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t84)) % 150.76/151.11 (step @p29 :rule quant-miniscope-or :args ((= @t81 @t84))) % 150.76/151.11 (step @p30 :rule trans :premises (@p29 @p28)) % 150.76/151.11 (step @p31 :rule symm :premises (@p30)) % 150.76/151.11 (step @p32 :rule cong :premises (@p31) :args ((forall @t39 @t89))) % 150.76/151.11 (step @p33 :rule trans :premises (@p32 @p24)) % 150.76/151.11 (step @p34 :rule trans :premises (@p33 @p23)) % 150.76/151.11 (step @p35 :rule aci_norm :args ((= (or @t73 @t90) @t89))) % 150.76/151.11 (step @p36 :rule beta-reduce :args ((= @t97 @t90))) % 150.76/151.11 (step @p37 :rule refl :args (@t73)) % 150.76/151.11 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t98)) % 150.76/151.11 (step @p39 :rule trans :premises (@p38 @p35)) % 150.76/151.11 (step @p40 :rule cong :premises (@p39) :args (@t99)) % 150.76/151.11 (step @p41 :rule trans :premises (@p40 @p34)) % 150.76/151.11 (step @p42 :rule cong :premises (@p41) :args (@t100)) % 150.76/151.11 (step @p43 :rule beta-reduce :args ((= (_ @t102 @t96) @t100))) % 150.76/151.11 (step @p44 :rule trans :premises (@p43 @p42)) % 150.76/151.11 (step @p45 :rule refl :args (@t91)) % 150.76/151.11 (step @p46 :rule refl :args (@t103)) % 150.76/151.11 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t103 @t91))) % 150.76/151.11 (step @p48 :rule symm :premises (@p47)) % 150.76/151.11 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 150.76/151.11 (step @p50 :rule refl :args (@t92)) % 150.76/151.11 (step @p51 :rule refl :args (@t104)) % 150.76/151.11 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t104 @t92))) % 150.76/151.11 (step @p53 :rule symm :premises (@p52)) % 150.76/151.11 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 150.76/151.11 (step @p55 :rule cong :premises (@p54) :args (@t105)) % 150.76/151.11 (step @p56 :rule nary_cong :premises (@p55 @p49) :args (@t106)) % 150.76/151.11 (step @p57 :rule cong :premises (@p56) :args (@t107)) % 150.76/151.11 (step @p58 :rule refl :args (@t95)) % 150.76/151.11 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t108)) % 150.76/151.11 (step @p60 :rule quant-miniscope-or :args ((= (forall @t46 @t109) @t108))) % 150.76/151.11 (step @p61 :rule aci_norm :args ((= @t110 @t109))) % 150.76/151.11 (step @p62 :rule cong :premises (@p61) :args ((forall @t46 @t110))) % 150.76/151.11 (step @p63 :rule trans :premises (@p62 @p60)) % 150.76/151.11 (step @p64 :rule trans :premises (@p63 @p59)) % 150.76/151.11 (step @p65 :rule bool-double-not-elim :args (@t103)) % 150.76/151.11 (step @p66 :rule refl :args (@t95)) % 150.76/151.11 (step @p67 :rule refl :args (@t105)) % 150.76/151.11 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t113)) % 150.76/151.11 (step @p69 :rule aci_norm :args ((= (or @t105 (or @t95 @t112)) @t113))) % 150.76/151.11 (step @p70 :rule trans :premises (@p69 @p68)) % 150.76/151.11 (step @p71 :rule bool-and-de-morgan :args (@t94 @t111 true)) % 150.76/151.11 (step @p72 :rule nary_cong :premises (@p67 @p71) :args ((or @t105 (not (and @t94 @t111))))) % 150.76/151.11 (step @p73 :rule bool-and-de-morgan :args (@t104 @t94 (and @t111))) % 150.76/151.11 (step @p74 :rule trans :premises (@p73 @p72)) % 150.76/151.11 (step @p75 :rule trans :premises (@p74 @p70)) % 150.76/151.11 (step @p76 :rule cong :premises (@p75) :args ((forall @t46 @t114))) % 150.76/151.11 (step @p77 :rule trans :premises (@p76 @p64)) % 150.76/151.11 (step @p78 :rule beta-reduce :args ((= @t119 @t114))) % 150.76/151.11 (step @p79 :rule cong :premises (@p78) :args (@t120)) % 150.76/151.11 (step @p80 :rule trans :premises (@p79 @p77)) % 150.76/151.11 (step @p81 :rule cong :premises (@p80) :args (@t121)) % 150.76/151.11 (step @p82 :rule beta-reduce :args ((= (_ @t123 @t118) @t121))) % 150.76/151.11 (step @p83 :rule trans :premises (@p82 @p81)) % 150.76/151.11 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t4 @t114) @t9) @t117))) % 150.76/151.11 (step @p85 :rule refl :args (@t9)) % 150.76/151.11 (step @p86 :rule refl :args (@t111)) % 150.76/151.11 (step @p87 :rule refl :args (@t93)) % 150.76/151.11 (step @p88 :rule refl :args (@t124)) % 150.76/151.11 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t124 @t93))) % 150.76/151.11 (step @p90 :rule symm :premises (@p89)) % 150.76/151.11 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 150.76/151.11 (step @p92 :rule cong :premises (@p91) :args (@t125)) % 150.76/151.11 (step @p93 :rule refl :args (@t104)) % 150.76/151.11 (step @p94 :rule nary_cong :premises (@p93 @p92 @p86) :args ((and @t104 @t125 @t111))) % 150.76/151.11 (step @p95 :rule quant-unused-vars :args ((= @t128 @t111))) % 150.76/151.11 (step @p96 :rule alpha_equiv :args (@t130 @t131 (@list @t57))) % 150.76/151.11 (step @p97 :rule quant-unused-vars :args ((= @t132 @t104))) % 150.76/151.11 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t133)) % 150.76/151.11 (step @p99 :rule quant-miniscope-and :args ((= (forall @t127 @t134) @t133))) % 150.76/151.11 (step @p100 :rule trans :premises (@p99 @p98)) % 150.76/151.11 (step @p101 :rule trans :premises (@p100 @p94)) % 150.76/151.11 (step @p102 :rule aci_norm :args ((= (and @t135 @t111) @t134))) % 150.76/151.11 (step @p103 :rule bool-implies-de-morgan :args (@t135 @t103)) % 150.76/151.11 (step @p104 :rule trans :premises (@p103 @p102)) % 150.76/151.11 (step @p105 :rule cong :premises (@p104) :args ((forall @t127 (not @t136)))) % 150.76/151.11 (step @p106 :rule trans :premises (@p105 @p101)) % 150.76/151.11 (step @p107 :rule beta-reduce :args ((= @t139 @t136))) % 150.76/151.11 (step @p108 :rule cong :premises (@p107) :args (@t140)) % 150.76/151.11 (step @p109 :rule cong :premises (@p108) :args (@t141)) % 150.76/151.11 (step @p110 :rule trans :premises (@p109 @p106)) % 150.76/151.11 (step @p111 :rule cong :premises (@p110) :args (@t142)) % 150.76/151.11 (step @p112 :rule cong :premises (@p111) :args (@t143)) % 150.76/151.11 (step @p113 :rule beta-reduce :args ((= (_ (lambda @t48 (not (forall @t127 (not (_ @t44 @t126 @t1))))) @t138) @t143))) % 150.76/151.11 (step @p114 :rule trans :premises (@p113 @p112)) % 150.76/151.11 (step @p115 :rule refl :args (@t138)) % 150.76/151.11 (step @p116 :rule alpha_equiv :args (@t144 @t83 @t131)) % 150.76/151.11 (step @p117 :rule cong :premises (@p116) :args (@t145)) % 150.76/151.11 (step @p118 :rule cong :premises (@p117) :args (@t146)) % 150.76/151.11 (step @p119 :rule ho_cong :premises (@p118 @p115)) % 150.76/151.11 (step @p120 :rule trans :premises (@p119 @p114)) % 150.76/151.11 (step @p121 :rule beta-reduce :args ((= (_ @t148 @t9) @t137))) % 150.76/151.11 (step @p122 :rule beta-reduce :args ((= (_ (lambda @t149 (=> @t147 @t32)) @t16) @t148))) % 150.76/151.11 (step @p123 :rule refl :args (@t16)) % 150.76/151.11 (step @p124 :rule refl :args (@t32)) % 150.76/151.11 (step @p125 :rule beta-reduce :args ((= @t151 @t147))) % 150.76/151.11 (step @p126 :rule cong :premises (@p125 @p124) :args (@t152)) % 150.76/151.11 (step @p127 :rule cong :premises (@p126) :args (@t153)) % 150.76/151.11 (step @p128 :rule beta-reduce :args ((= (_ @t36 @t150) @t153))) % 150.76/151.11 (step @p129 :rule trans :premises (@p128 @p127)) % 150.76/151.11 (step @p130 :rule beta-reduce :args ((= (_ @t154 @t18) @t150))) % 150.76/151.11 (step @p131 :rule refl :args (@t18)) % 150.76/151.11 (step @p132 :rule beta-reduce :args ((= @t155 @t154))) % 150.76/151.11 (step @p133 :rule ho_cong :premises (@p132 @p131)) % 150.76/151.11 (step @p134 :rule trans :premises (@p133 @p130)) % 150.76/151.11 (step @p135 :rule refl :args (@t36)) % 150.76/151.11 (step @p136 :rule ho_cong :premises (@p135 @p134)) % 150.76/151.11 (step @p137 :rule trans :premises (@p136 @p129)) % 150.76/151.11 (step @p138 :rule ho_cong :premises (@p137 @p123)) % 150.76/151.11 (step @p139 :rule trans :premises (@p138 @p122)) % 150.76/151.11 (step @p140 :rule ho_cong :premises (@p139 @p85)) % 150.76/151.11 (step @p141 :rule trans :premises (@p140 @p121)) % 150.76/151.11 (step @p142 :rule cong :premises (@p141) :args (@t157)) % 150.76/151.11 (step @p143 :rule refl :args (@t146)) % 150.76/151.11 (step @p144 :rule ho_cong :premises (@p143 @p142)) % 150.76/151.11 (step @p145 :rule trans :premises (@p144 @p120)) % 150.76/151.11 (step @p146 :rule ho_cong :premises (@p145 @p85)) % 150.76/151.11 (step @p147 :rule trans :premises (@p146 @p84)) % 150.76/151.11 (step @p148 :rule cong :premises (@p147) :args (@t158)) % 150.76/151.11 (step @p149 :rule refl :args (@t123)) % 150.76/151.11 (step @p150 :rule ho_cong :premises (@p149 @p148)) % 150.76/151.11 (step @p151 :rule trans :premises (@p150 @p83)) % 150.76/151.11 (step @p152 :rule refl :args (@t102)) % 150.76/151.11 (step @p153 :rule ho_cong :premises (@p152 @p151)) % 150.76/151.11 (step @p154 :rule trans :premises (@p153 @p44)) % 150.76/151.11 (step @p155 :rule refl :args (@t27)) % 150.76/151.11 (step @p156 :rule ho_cong :premises (@p155 @p154)) % 150.76/151.11 (step @p157 :rule trans :premises (@p156 @p21)) % 150.76/151.11 (step @p158 :rule cong :premises (@p157) :args ((not (_ @t27 (_ @t102 (_ @t123 @t158)))))) % 150.76/151.11 (step @p159 :rule refl :args (@t12)) % 150.76/151.11 (step @p160 :rule ho_cong :premises (@p10 @p159)) % 150.76/151.11 (step @p161 :rule ho_cong :premises (@p160 @p131)) % 150.76/151.11 (step @p162 :rule ho_cong :premises (@p12 @p161)) % 150.76/151.11 (step @p163 :rule ho_cong :premises (@p162 @p123)) % 150.76/151.11 (step @p164 :rule ho_cong :premises (@p163 @p85)) % 150.76/151.11 (step @p165 :rule cong :premises (@p164) :args (@t23)) % 150.76/151.11 (step @p166 :rule refl :args (@t122)) % 150.76/151.11 (step @p167 :rule refl :args (@t45)) % 150.76/151.11 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t45 @t122))) % 150.76/151.11 (step @p169 :rule symm :premises (@p168)) % 150.76/151.11 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 150.76/151.11 (step @p171 :rule cong :premises (@p170) :args (@t159)) % 150.76/151.11 (step @p172 :rule cong :premises (@p171) :args (@t160)) % 150.76/151.11 (step @p173 :rule cong :premises (@p172) :args (@t161)) % 150.76/151.11 (step @p174 :rule exists-elim :args ((= @t50 @t161))) % 150.76/151.11 (step @p175 :rule trans :premises (@p174 @p173)) % 150.76/151.11 (step @p176 :rule cong :premises (@p175) :args (@t51)) % 150.76/151.11 (step @p177 :rule trans :premises (@p17 @p176)) % 150.76/151.11 (step @p178 :rule ho_cong :premises (@p177 @p165)) % 150.76/151.11 (step @p179 :rule ho_cong :premises (@p178 @p85)) % 150.76/151.11 (step @p180 :rule cong :premises (@p179) :args (@t24)) % 150.76/151.11 (step @p181 :rule cong :premises (@p170) :args (@t47)) % 150.76/151.11 (step @p182 :rule cong :premises (@p181) :args (@t49)) % 150.76/151.11 (step @p183 :rule trans :premises (@p16 @p182)) % 150.76/151.11 (step @p184 :rule ho_cong :premises (@p183 @p180)) % 150.76/151.11 (step @p185 :rule refl :args (@t101)) % 150.76/151.11 (step @p186 :rule refl :args (@t38)) % 150.76/151.11 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t38 @t101))) % 150.76/151.11 (step @p188 :rule symm :premises (@p187)) % 150.76/151.11 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 150.76/151.11 (step @p190 :rule refl :args (@t72)) % 150.76/151.11 (step @p191 :rule refl :args (@t8)) % 150.76/151.11 (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t8 @t72))) % 150.76/151.11 (step @p193 :rule symm :premises (@p192)) % 150.76/151.11 (step @p194 :rule eq_resolve :premises (@p191 @p193)) % 150.76/151.11 (step @p195 :rule cong :premises (@p194) :args (@t162)) % 150.76/151.11 (step @p196 :rule nary_cong :premises (@p195 @p189) :args (@t163)) % 150.76/151.11 (step @p197 :rule cong :premises (@p196) :args ((forall @t39 @t163))) % 150.76/151.11 (step @p198 :rule bool-impl-elim :args (@t8 @t38)) % 150.76/151.11 (step @p199 :rule cong :premises (@p198) :args (@t40)) % 150.76/151.11 (step @p200 :rule trans :premises (@p199 @p197)) % 150.76/151.11 (step @p201 :rule cong :premises (@p200) :args (@t42)) % 150.76/151.11 (step @p202 :rule trans :premises (@p14 @p201)) % 150.76/151.11 (step @p203 :rule ho_cong :premises (@p202 @p184)) % 150.76/151.11 (step @p204 :rule ho_cong :premises (@p8 @p203)) % 150.76/151.11 (step @p205 :rule cong :premises (@p204) :args (@t25)) % 150.76/151.11 (step @p206 :rule trans :premises (@p205 @p158)) % 150.76/151.11 (step @p207 :rule trans :premises (@p206 @p18)) % 150.76/151.11 (step @p208 :rule eq_resolve :premises (@p6 @p207)) % 150.76/151.11 (step @p209 :rule skolemize :premises (@p208)) % 150.76/151.11 (step @p210 :rule bool-double-not-elim :args (@t165)) % 150.76/151.11 (step @p211 :rule refl :args (@t175)) % 150.76/151.11 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t175 (not @t172)))) % 150.76/151.11 (step @p213 :rule cnf_or_neg :args (@t175 1)) % 150.76/151.11 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 150.76/151.11 (step @p215 :rule reordering :premises (@p214) :args ((or @t165 @t175))) % 150.76/151.11 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t165 @t176 @t177)) % 150.76/151.11 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.11 (step @p217 :rule trust :premises () :args ((= @t188 (forall @t184 (or @t64 (not (forall @t183 (not (forall @t182 (or (not (_ @t55 (_ @t62 @t61 @t6) @t178)) (not (_ @t55 (_ @t54 @t56 @t179) @t178)) @t181 (_ @t55 (_ @t54 @t53 @t179) @t178))))))))))) % 150.76/151.11 (step @p218 :rule beta-reduce :args ((= @t192 @t188))) % 150.76/151.11 (step @p219 :rule beta-reduce :args ((= (_ @t27 @t191) @t192))) % 150.76/151.11 (step @p220 :rule trans :premises (@p219 @p218)) % 150.76/151.11 (step @p221 :rule quant-merge-prenex :args ((= (forall @t39 @t194) @t190))) % 150.76/151.11 (step @p222 :rule alpha_equiv :args (@t195 (@list @t179) @t83)) % 150.76/151.11 (step @p223 :rule nary_cong :premises (@p27 @p222) :args (@t196)) % 150.76/151.11 (step @p224 :rule quant-miniscope-or :args ((= @t194 @t196))) % 150.76/151.11 (step @p225 :rule trans :premises (@p224 @p223)) % 150.76/151.11 (step @p226 :rule symm :premises (@p225)) % 150.76/151.11 (step @p227 :rule cong :premises (@p226) :args ((forall @t39 (or @t73 @t199)))) % 150.76/151.11 (step @p228 :rule trans :premises (@p227 @p221)) % 150.76/151.11 (step @p229 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t46 (not (forall @t183 (not (forall @t182 (or (not (tptp.mrel @t1 @t178)) @t198 @t185 @t197))))))) @t6) @t199))) % 150.76/151.11 (step @p230 :rule refl :args (@t6)) % 150.76/151.11 (step @p231 :rule alpha_equiv :args (@t201 (@list @t6) (@list @t178))) % 150.76/151.11 (step @p232 :rule cong :premises (@p231) :args (@t202)) % 150.76/151.11 (step @p233 :rule cong :premises (@p232) :args (@t203)) % 150.76/151.11 (step @p234 :rule cong :premises (@p233) :args (@t204)) % 150.76/151.11 (step @p235 :rule cong :premises (@p234) :args (@t205)) % 150.76/151.11 (step @p236 :rule cong :premises (@p235) :args (@t206)) % 150.76/151.11 (step @p237 :rule ho_cong :premises (@p236 @p230)) % 150.76/151.11 (step @p238 :rule trans :premises (@p237 @p229)) % 150.76/151.11 (step @p239 :rule nary_cong :premises (@p37 @p238) :args (@t207)) % 150.76/151.11 (step @p240 :rule cong :premises (@p239) :args (@t208)) % 150.76/151.11 (step @p241 :rule trans :premises (@p240 @p228)) % 150.76/151.11 (step @p242 :rule cong :premises (@p241) :args (@t209)) % 150.76/151.11 (step @p243 :rule beta-reduce :args ((= (_ @t102 @t206) @t209))) % 150.76/151.11 (step @p244 :rule trans :premises (@p243 @p242)) % 150.76/151.11 (step @p245 :rule beta-reduce :args ((= @t213 @t204))) % 150.76/151.11 (step @p246 :rule cong :premises (@p245) :args (@t214)) % 150.76/151.11 (step @p247 :rule cong :premises (@p246) :args (@t215)) % 150.76/151.11 (step @p248 :rule beta-reduce :args ((= (_ @t123 @t212) @t215))) % 150.76/151.11 (step @p249 :rule trans :premises (@p248 @p247)) % 150.76/151.11 (step @p250 :rule beta-reduce :args ((= (_ (lambda @t4 @t204) @t9) @t211))) % 150.76/151.11 (step @p251 :rule beta-reduce :args ((= @t220 @t201))) % 150.76/151.11 (step @p252 :rule cong :premises (@p251) :args (@t221)) % 150.76/151.11 (step @p253 :rule cong :premises (@p252) :args (@t222)) % 150.76/151.11 (step @p254 :rule cong :premises (@p253) :args (@t223)) % 150.76/151.11 (step @p255 :rule cong :premises (@p254) :args (@t224)) % 150.76/151.11 (step @p256 :rule beta-reduce :args ((= (_ (lambda @t48 (not (forall @t183 (not (_ @t44 @t180 @t1))))) @t219) @t224))) % 150.76/151.11 (step @p257 :rule trans :premises (@p256 @p255)) % 150.76/151.11 (step @p258 :rule refl :args (@t219)) % 150.76/151.11 (step @p259 :rule alpha_equiv :args (@t144 @t83 (@list @t180))) % 150.76/151.11 (step @p260 :rule cong :premises (@p259) :args (@t145)) % 150.76/151.11 (step @p261 :rule cong :premises (@p260) :args (@t146)) % 150.76/151.11 (step @p262 :rule ho_cong :premises (@p261 @p258)) % 150.76/151.11 (step @p263 :rule trans :premises (@p262 @p257)) % 150.76/151.11 (step @p264 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t39 (or @t73 @t87 @t217 @t85))) @t9) @t218))) % 150.76/151.11 (step @p265 :rule refl :args (@t85)) % 150.76/151.11 (step @p266 :rule refl :args (@t225)) % 150.76/151.11 (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t225 @t85))) % 150.76/151.11 (step @p268 :rule symm :premises (@p267)) % 150.76/151.11 (step @p269 :rule eq_resolve :premises (@p266 @p268)) % 150.76/151.11 (step @p270 :rule refl :args (@t216)) % 150.76/151.11 (step @p271 :rule refl :args (@t226)) % 150.76/151.11 (step @p272 :rule cong :premises (@p271 @p270) :args ((= @t226 @t216))) % 150.76/151.11 (step @p273 :rule symm :premises (@p272)) % 150.76/151.11 (step @p274 :rule eq_resolve :premises (@p271 @p273)) % 150.76/151.11 (step @p275 :rule cong :premises (@p274) :args (@t227)) % 150.76/151.11 (step @p276 :rule refl :args (@t86)) % 150.76/151.11 (step @p277 :rule refl :args (@t228)) % 150.76/151.11 (step @p278 :rule cong :premises (@p277 @p276) :args ((= @t228 @t86))) % 150.76/151.11 (step @p279 :rule symm :premises (@p278)) % 150.76/151.11 (step @p280 :rule eq_resolve :premises (@p277 @p279)) % 150.76/151.11 (step @p281 :rule cong :premises (@p280) :args (@t229)) % 150.76/151.11 (step @p282 :rule nary_cong :premises (@p27 @p281 @p275 @p269) :args (@t230)) % 150.76/151.11 (step @p283 :rule cong :premises (@p282) :args ((forall @t39 @t230))) % 150.76/151.11 (step @p284 :rule aci_norm :args ((= (or @t73 @t231) @t230))) % 150.76/151.11 (step @p285 :rule aci_norm :args ((= (or (or @t229 @t227) @t225) @t231))) % 150.76/151.11 (step @p286 :rule bool-and-de-morgan :args (@t228 @t226 true)) % 150.76/151.11 (step @p287 :rule nary_cong :premises (@p286 @p266) :args ((or (not @t232) @t225))) % 150.76/151.11 (step @p288 :rule trans :premises (@p287 @p285)) % 150.76/151.11 (step @p289 :rule bool-impl-elim :args (@t232 @t225)) % 150.76/151.11 (step @p290 :rule trans :premises (@p289 @p288)) % 150.76/151.11 (step @p291 :rule nary_cong :premises (@p27 @p290) :args (@t234)) % 150.76/151.11 (step @p292 :rule trans :premises (@p291 @p284)) % 150.76/151.11 (step @p293 :rule cong :premises (@p292) :args ((forall @t39 @t234))) % 150.76/151.11 (step @p294 :rule trans :premises (@p293 @p283)) % 150.76/151.11 (step @p295 :rule beta-reduce :args ((= @t235 @t233))) % 150.76/151.11 (step @p296 :rule nary_cong :premises (@p37 @p295) :args (@t236)) % 150.76/151.11 (step @p297 :rule cong :premises (@p296) :args (@t237)) % 150.76/151.11 (step @p298 :rule trans :premises (@p297 @p294)) % 150.76/151.11 (step @p299 :rule cong :premises (@p298) :args (@t238)) % 150.76/151.11 (step @p300 :rule beta-reduce :args ((= (_ @t102 @t148) @t238))) % 150.76/151.11 (step @p301 :rule trans :premises (@p300 @p299)) % 150.76/151.11 (step @p302 :rule ho_cong :premises (@p152 @p139)) % 150.76/151.11 (step @p303 :rule trans :premises (@p302 @p301)) % 150.76/151.11 (step @p304 :rule ho_cong :premises (@p303 @p85)) % 150.76/151.11 (step @p305 :rule trans :premises (@p304 @p264)) % 150.76/151.11 (step @p306 :rule cong :premises (@p305) :args (@t239)) % 150.76/151.11 (step @p307 :rule ho_cong :premises (@p143 @p306)) % 150.76/151.11 (step @p308 :rule trans :premises (@p307 @p263)) % 150.76/151.11 (step @p309 :rule ho_cong :premises (@p308 @p85)) % 150.76/151.11 (step @p310 :rule trans :premises (@p309 @p250)) % 150.76/151.11 (step @p311 :rule cong :premises (@p310) :args ((lambda @t15 (_ (_ @t146 @t239) @t9)))) % 150.76/151.11 (step @p312 :rule ho_cong :premises (@p149 @p311)) % 150.76/151.11 (step @p313 :rule trans :premises (@p312 @p249)) % 150.76/151.11 (step @p314 :rule ho_cong :premises (@p152 @p313)) % 150.76/151.11 (step @p315 :rule trans :premises (@p314 @p244)) % 150.76/151.11 (step @p316 :rule ho_cong :premises (@p155 @p315)) % 150.76/151.11 (step @p317 :rule trans :premises (@p316 @p220)) % 150.76/151.11 (step @p318 :rule ho_cong :premises (@p202 @p163)) % 150.76/151.11 (step @p319 :rule ho_cong :premises (@p318 @p85)) % 150.76/151.11 (step @p320 :rule cong :premises (@p319) :args (@t21)) % 150.76/151.11 (step @p321 :rule ho_cong :premises (@p177 @p320)) % 150.76/151.11 (step @p322 :rule ho_cong :premises (@p321 @p85)) % 150.76/151.11 (step @p323 :rule cong :premises (@p322) :args (@t22)) % 150.76/151.11 (step @p324 :rule ho_cong :premises (@p183 @p323)) % 150.76/151.11 (step @p325 :rule ho_cong :premises (@p202 @p324)) % 150.76/151.11 (step @p326 :rule ho_cong :premises (@p8 @p325)) % 150.76/151.11 (step @p327 :rule trans :premises (@p326 @p317)) % 150.76/151.11 (step @p328 :rule trans :premises (@p327 @p217)) % 150.76/151.11 (step @p329 :rule eq_resolve :premises (@p5 @p328)) % 150.76/151.11 (step @p330 :rule instantiate :premises (@p329) :args ((@list tptp.mactual @t166))) % 150.76/151.11 ; trust TRUST PREPROCESS_HO_ELIM % 150.76/151.11 (step @p331 :rule trust :premises () :args ((= (forall @t4 @t240) (forall @t4 (_ @t55 (_ @t62 @t61 @t1) @t1))))) % 150.76/151.11 (step @p332 :rule refl :args (@t240)) % 150.76/151.11 (step @p333 :rule refl :args (@t3)) % 150.76/151.11 (step @p334 :rule cong :premises (@p333 @p332) :args ((= @t3 @t240))) % 150.76/151.11 (step @p335 :rule symm :premises (@p334)) % 150.76/151.11 (step @p336 :rule eq_resolve :premises (@p333 @p335)) % 150.76/151.11 (step @p337 :rule cong :premises (@p336) :args (@t5)) % 150.76/151.11 (step @p338 :rule trans :premises (@p337 @p331)) % 150.76/151.11 (step @p339 :rule eq_resolve :premises (@p1 @p338)) % 150.76/151.11 (step @p340 :rule instantiate :premises (@p339) :args ((@list tptp.mactual))) % 150.76/151.11 (step @p341 :rule cnf_or_pos :args (@t248)) % 150.76/151.11 (step @p342 :rule reordering :premises (@p341) :args ((or @t247 @t245 (not @t248)))) % 150.76/151.11 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p330) :args (@t245 (@list false false) (@list @t246 @t248))) % 150.76/151.11 (step @p344 :rule refl :args (@t251)) % 150.76/151.11 (step @p345 :rule bool-double-not-elim :args (@t244)) % 150.76/151.11 (step @p346 :rule nary_cong :premises (@p345 @p344) :args ((or (not @t245) @t251))) % 150.76/151.11 (step @p347 :rule bool-double-not-elim :args (@t251)) % 150.76/151.11 (step @p348 :rule refl :args (@t245)) % 150.76/151.11 (step @p349 :rule cong :premises (@p348 @p347) :args ((=> @t245 @t252))) % 150.76/151.11 (assume-push @p382 @t245) % 150.76/151.11 (step @p351 :rule skolemize :premises (@p343)) % 150.76/151.11 (step-pop @p383 :rule scope :premises (@p351)) % 150.76/151.11 (step @p352 :rule process_scope :premises (@p383) :args (@t252)) % 150.76/151.11 (step @p354 :rule eq_resolve :premises (@p352 @p349)) % 150.76/151.11 (step @p355 :rule implies_elim :premises (@p354)) % 150.76/151.11 (step @p356 :rule eq_resolve :premises (@p355 @p346)) % 150.76/151.11 (step @p357 :rule chain_m_resolution :premises (@p356 @p343) :args (@t251 @t176 (@list @t244))) % 150.76/151.11 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t164))) % 150.76/151.11 (step @p359 :rule cnf_or_neg :args (@t175 3)) % 150.76/151.11 (step @p360 :rule chain_m_resolution :premises (@p359 @p209) :args ((not @t168) @t176 @t177)) % 150.76/151.11 (step @p361 :rule bool-double-not-elim :args (@t170)) % 150.76/151.11 (step @p362 :rule nary_cong :premises (@p211 @p361) :args ((or @t175 (not @t171)))) % 150.76/151.11 (step @p363 :rule cnf_or_neg :args (@t175 2)) % 150.76/151.11 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 150.76/151.11 (step @p365 :rule reordering :premises (@p364) :args ((or @t170 @t175))) % 150.76/151.11 (step @p366 :rule chain_m_resolution :premises (@p365 @p209) :args (@t170 @t176 @t177)) % 150.76/151.11 (step @p367 :rule bool-double-not-elim :args (@t173)) % 150.76/151.11 (step @p368 :rule nary_cong :premises (@p211 @p367) :args ((or @t175 (not @t174)))) % 150.76/151.11 (step @p369 :rule cnf_or_neg :args (@t175 0)) % 150.76/151.11 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 150.76/151.11 (step @p371 :rule reordering :premises (@p370) :args ((or @t173 @t175))) % 150.76/151.11 (step @p372 :rule chain_m_resolution :premises (@p371 @p209) :args (@t173 @t176 @t177)) % 150.76/151.11 (step @p373 :rule cnf_or_pos :args (@t255)) % 150.76/151.11 (step @p374 :rule reordering :premises (@p373) :args ((or @t174 @t171 @t168 @t254 (not @t255)))) % 150.76/151.11 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p366 @p360 @p358) :args (@t254 (@list false false true false) (@list @t173 @t170 @t168 @t255))) % 150.76/151.11 (assume-push @p384 @t165) % 150.76/151.11 (step @p377 :rule instantiate :premises (@p216) :args ((@list @t249))) % 150.76/151.11 (step-pop @p385 :rule scope :premises (@p377)) % 150.76/151.11 (step @p378 :rule process_scope :premises (@p385) :args (@t253)) % 150.76/151.11 (step @p380 :rule implies_elim :premises (@p378)) % 150.76/151.11 (step @p381 false :rule chain_m_resolution :premises (@p380 @p375 @p216) :args (false (@list true false) (@list @t253 @t165))) % 150.76/151.11 ) % 150.76/151.11 % SZS output end Proof % 150.76/151.11 % cvc5 exiting %------------------------------------------------------------------------------