%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL958^18 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 11:24:15 AM UTC 2026 % Result : Theorem 7.12s 7.48s % Output : Proof 7.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL958^18 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n014.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 12:16:42 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.44 %----Proving TH0 % 7.12/7.48 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 7.12/7.48 % SZS status Theorem % 7.12/7.48 % SZS output start Proof % 7.12/7.48 ( % 7.12/7.48 (declare-sort $$unsorted 0) % 7.12/7.48 (declare-sort tptp.mworld 0) % 7.12/7.48 (declare-const tptp.mactual tptp.mworld) % 7.12/7.48 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 7.12/7.48 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 7.12/7.48 (declare-const tptp.big_q (-> $$unsorted tptp.mworld Bool)) % 7.12/7.48 (declare-const tptp.big_p (-> $$unsorted tptp.mworld Bool)) % 7.12/7.48 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 7.12/7.48 (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)))))) % 7.12/7.48 (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))))))) % 7.12/7.48 (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))))))) % 7.12/7.48 (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))))))) % 7.12/7.48 (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))))))) % 7.12/7.48 (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)))))))) % 7.12/7.48 (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)))))))) % 7.12/7.48 (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) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 7.12/7.48 (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) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 7.12/7.48 (define @t1 () (@var "V" tptp.mworld)) % 7.12/7.48 (define @t2 () (@var "W" tptp.mworld)) % 7.12/7.48 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 7.12/7.48 (define @t4 () (@list @t2 @t1)) % 7.12/7.48 (define @t5 () (forall @t4 @t3)) % 7.12/7.48 (define @t6 () (@var "X" $$unsorted)) % 7.12/7.48 (define @t7 () (_ tptp.eiw_di @t6)) % 7.12/7.48 (define @t8 () (_ @t7 @t2)) % 7.12/7.48 (define @t9 () (@list @t6)) % 7.12/7.48 (define @t10 () (exists @t9 @t8)) % 7.12/7.48 (define @t11 () (@list @t2)) % 7.12/7.48 (define @t12 () (forall @t11 @t10)) % 7.12/7.48 (define @t13 () (_ @t7 @t1)) % 7.12/7.48 (define @t14 () (and @t8 @t3)) % 7.12/7.48 (define @t15 () (@list @t2 @t1 @t6)) % 7.12/7.48 (define @t16 () (forall @t15 (=> @t14 @t13))) % 7.12/7.48 (define @t17 () (@var "__flatten_var_0" tptp.mworld)) % 7.12/7.48 (define @t18 () (@var "Y" $$unsorted)) % 7.12/7.48 (define @t19 () (_ tptp.big_p @t18)) % 7.12/7.48 (define @t20 () (_ tptp.big_q @t6)) % 7.12/7.48 (define @t21 () (_ tptp.big_p @t6)) % 7.12/7.48 (define @t22 () (@list @t18 @t17)) % 7.12/7.48 (define @t23 () (lambda @t22 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox @t21)) (_ (_ tptp.mor (_ tptp.mbox @t20)) (_ tptp.mbox @t19)))) @t17))) % 7.12/7.48 (define @t24 () (@list @t6 @t17)) % 7.12/7.48 (define @t25 () (lambda @t24 (_ (_ tptp.mbox (_ tptp.mforall_di @t23)) @t17))) % 7.12/7.48 (define @t26 () (not (_ tptp.mlocal (_ tptp.mexists_di @t25)))) % 7.12/7.48 (define @t27 () (@var "Phi" (-> tptp.mworld Bool))) % 7.12/7.48 (define @t28 () (lambda (@list @t27) (_ @t27 tptp.mactual))) % 7.12/7.48 (define @t29 () (@var "A" (-> tptp.mworld Bool))) % 7.12/7.48 (define @t30 () (_ @t29 @t2)) % 7.12/7.48 (define @t31 () (lambda (@list @t29 @t2) (not @t30))) % 7.12/7.48 (define @t32 () (@var "B" (-> tptp.mworld Bool))) % 7.12/7.48 (define @t33 () (_ @t32 @t2)) % 7.12/7.48 (define @t34 () (@list @t29 @t32 @t2)) % 7.12/7.48 (define @t35 () (lambda @t34 (and @t30 @t33))) % 7.12/7.48 (define @t36 () (lambda @t34 (or @t30 @t33))) % 7.12/7.48 (define @t37 () (lambda @t34 (=> @t30 @t33))) % 7.12/7.48 (define @t38 () (lambda @t34 (= @t30 @t33))) % 7.12/7.48 (define @t39 () (_ @t27 @t1)) % 7.12/7.48 (define @t40 () (@list @t1)) % 7.12/7.48 (define @t41 () (forall @t40 (=> @t3 @t39))) % 7.12/7.48 (define @t42 () (@list @t27 @t2)) % 7.12/7.48 (define @t43 () (lambda @t42 @t41)) % 7.12/7.48 (define @t44 () (lambda @t42 (exists @t40 (and @t3 @t39)))) % 7.12/7.48 (define @t45 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 7.12/7.48 (define @t46 () (_ (_ @t45 @t6) @t2)) % 7.12/7.48 (define @t47 () (forall @t9 (=> @t8 @t46))) % 7.12/7.48 (define @t48 () (@list @t45 @t2)) % 7.12/7.48 (define @t49 () (lambda @t48 @t47)) % 7.12/7.48 (define @t50 () (and @t8 @t46)) % 7.12/7.48 (define @t51 () (exists @t9 @t50)) % 7.12/7.48 (define @t52 () (lambda @t48 @t51)) % 7.12/7.48 (define @t53 () (tptp.mrel @t2 @t1)) % 7.12/7.48 (define @t54 () (@var "BOUND_VARIABLE_7857" tptp.mworld)) % 7.12/7.48 (define @t55 () (@var "BOUND_VARIABLE_7851" $$unsorted)) % 7.12/7.48 (define @t56 () (tptp.big_p @t55 @t54)) % 7.12/7.48 (define @t57 () (@var "BOUND_VARIABLE_7853" tptp.mworld)) % 7.12/7.48 (define @t58 () (not (tptp.mrel @t57 @t54))) % 7.12/7.48 (define @t59 () (@var "BOUND_VARIABLE_7855" tptp.mworld)) % 7.12/7.48 (define @t60 () (tptp.big_q @t6 @t59)) % 7.12/7.48 (define @t61 () (not (tptp.mrel @t57 @t59))) % 7.12/7.48 (define @t62 () (@var "BOUND_VARIABLE_7734" tptp.mworld)) % 7.12/7.48 (define @t63 () (tptp.big_p @t6 @t62)) % 7.12/7.48 (define @t64 () (not (tptp.mrel @t57 @t62))) % 7.12/7.48 (define @t65 () (@list @t62)) % 7.12/7.48 (define @t66 () (not (forall @t65 (or @t64 @t63)))) % 7.12/7.48 (define @t67 () (not (tptp.mrel @t1 @t57))) % 7.12/7.48 (define @t68 () (not (tptp.eiw_di @t55 @t1))) % 7.12/7.48 (define @t69 () (not (tptp.mrel tptp.mactual @t1))) % 7.12/7.48 (define @t70 () (@list @t1 @t55 @t57 @t59 @t54)) % 7.12/7.48 (define @t71 () (forall @t9 (or (not (tptp.eiw_di @t6 tptp.mactual)) (not (forall @t70 (or @t69 @t68 @t67 @t66 @t61 @t60 @t58 @t56)))))) % 7.12/7.48 (define @t72 () (not @t53)) % 7.12/7.48 (define @t73 () (or @t72 @t68 @t67 @t66 @t61 @t60 @t58 @t56)) % 7.12/7.48 (define @t74 () (forall @t70 @t73)) % 7.12/7.48 (define @t75 () (tptp.eiw_di @t6 @t2)) % 7.12/7.48 (define @t76 () (not @t75)) % 7.12/7.48 (define @t77 () (lambda @t11 (not (forall @t9 (or @t76 (not @t74)))))) % 7.12/7.48 (define @t78 () (_ @t77 tptp.mactual)) % 7.12/7.48 (define @t79 () (not (tptp.mrel @t17 @t1))) % 7.12/7.48 (define @t80 () (forall @t70 (or @t79 @t68 @t67 @t66 @t61 @t60 @t58 @t56))) % 7.12/7.48 (define @t81 () (lambda @t24 @t80)) % 7.12/7.48 (define @t82 () (_ @t81 @t6 @t2)) % 7.12/7.48 (define @t83 () (not @t82)) % 7.12/7.48 (define @t84 () (or @t76 @t83)) % 7.12/7.48 (define @t85 () (forall @t9 @t84)) % 7.12/7.48 (define @t86 () (not @t85)) % 7.12/7.48 (define @t87 () (lambda @t11 @t86)) % 7.12/7.48 (define @t88 () (_ @t45 @t6 @t2)) % 7.12/7.48 (define @t89 () (lambda @t48 (not (forall @t9 (or @t76 (not @t88)))))) % 7.12/7.48 (define @t90 () (or @t68 @t67 @t66 @t61 @t60 @t58 @t56)) % 7.12/7.48 (define @t91 () (or @t72 @t90)) % 7.12/7.48 (define @t92 () (forall @t70 @t91)) % 7.12/7.48 (define @t93 () (@list @t55 @t57 @t59 @t54)) % 7.12/7.48 (define @t94 () (forall @t93 @t91)) % 7.12/7.48 (define @t95 () (forall @t93 @t90)) % 7.12/7.48 (define @t96 () (@var "BOUND_VARIABLE_7816" tptp.mworld)) % 7.12/7.48 (define @t97 () (@var "BOUND_VARIABLE_7814" tptp.mworld)) % 7.12/7.48 (define @t98 () (@var "BOUND_VARIABLE_7812" tptp.mworld)) % 7.12/7.48 (define @t99 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 7.12/7.48 (define @t100 () (or @t72 @t95)) % 7.12/7.48 (define @t101 () (tptp.big_p @t99 @t96)) % 7.12/7.48 (define @t102 () (not (tptp.mrel @t98 @t96))) % 7.12/7.48 (define @t103 () (tptp.big_q @t6 @t97)) % 7.12/7.48 (define @t104 () (not (tptp.mrel @t98 @t97))) % 7.12/7.48 (define @t105 () (not (forall @t65 (or (not (tptp.mrel @t98 @t62)) @t63)))) % 7.12/7.48 (define @t106 () (@list @t99 @t98 @t97 @t96)) % 7.12/7.48 (define @t107 () (forall @t106 (or (not (tptp.eiw_di @t99 @t1)) (not (tptp.mrel @t1 @t98)) @t105 @t104 @t103 @t102 @t101))) % 7.12/7.48 (define @t108 () (not (tptp.mrel @t2 @t98))) % 7.12/7.48 (define @t109 () (not (tptp.eiw_di @t99 @t2))) % 7.12/7.48 (define @t110 () (or @t109 @t108 @t105 @t104 @t103 @t102 @t101)) % 7.12/7.48 (define @t111 () (lambda @t11 (forall @t106 @t110))) % 7.12/7.48 (define @t112 () (_ @t111 @t1)) % 7.12/7.48 (define @t113 () (or @t72 @t112)) % 7.12/7.48 (define @t114 () (forall @t40 @t113)) % 7.12/7.48 (define @t115 () (lambda @t11 @t114)) % 7.12/7.48 (define @t116 () (_ @t27 @t1)) % 7.12/7.48 (define @t117 () (lambda @t42 (forall @t40 (or @t72 @t116)))) % 7.12/7.48 (define @t118 () (or @t108 @t105 @t104 @t103 @t102 @t101)) % 7.12/7.48 (define @t119 () (or @t109 @t118)) % 7.12/7.48 (define @t120 () (forall @t106 @t119)) % 7.12/7.48 (define @t121 () (@list @t98 @t97 @t96)) % 7.12/7.48 (define @t122 () (forall @t121 @t119)) % 7.12/7.48 (define @t123 () (@list @t99)) % 7.12/7.48 (define @t124 () (forall @t121 @t118)) % 7.12/7.48 (define @t125 () (@var "BOUND_VARIABLE_7771" tptp.mworld)) % 7.12/7.48 (define @t126 () (@var "BOUND_VARIABLE_7765" tptp.mworld)) % 7.12/7.48 (define @t127 () (or @t109 @t124)) % 7.12/7.48 (define @t128 () (not (tptp.mrel @t1 @t125))) % 7.12/7.48 (define @t129 () (tptp.big_q @t6 @t126)) % 7.12/7.48 (define @t130 () (not (tptp.mrel @t1 @t126))) % 7.12/7.48 (define @t131 () (forall @t65 (or (not (tptp.mrel @t1 @t62)) @t63))) % 7.12/7.48 (define @t132 () (not @t131)) % 7.12/7.48 (define @t133 () (@list @t1 @t126 @t125)) % 7.12/7.48 (define @t134 () (forall @t133 (or @t72 @t132 @t130 @t129 @t128 (tptp.big_p @t99 @t125)))) % 7.12/7.48 (define @t135 () (tptp.big_p @t18 @t125)) % 7.12/7.48 (define @t136 () (forall @t133 (or @t79 @t132 @t130 @t129 @t128 @t135))) % 7.12/7.48 (define @t137 () (lambda @t22 @t136)) % 7.12/7.48 (define @t138 () (_ @t137 @t99 @t2)) % 7.12/7.48 (define @t139 () (or @t109 @t138)) % 7.12/7.48 (define @t140 () (forall @t123 @t139)) % 7.12/7.48 (define @t141 () (lambda @t11 @t140)) % 7.12/7.48 (define @t142 () (forall @t9 (or @t76 @t88))) % 7.12/7.48 (define @t143 () (lambda @t48 @t142)) % 7.12/7.48 (define @t144 () (or @t72 @t132 @t130 @t129 @t128 @t135)) % 7.12/7.48 (define @t145 () (or @t128 @t135)) % 7.12/7.48 (define @t146 () (or @t130 @t129)) % 7.12/7.48 (define @t147 () (or @t72 @t132 @t146 @t145)) % 7.12/7.48 (define @t148 () (forall @t133 @t147)) % 7.12/7.48 (define @t149 () (forall (@list @t126 @t125) @t147)) % 7.12/7.48 (define @t150 () (forall (@list @t125) @t145)) % 7.12/7.48 (define @t151 () (@var "BOUND_VARIABLE_7717" tptp.mworld)) % 7.12/7.48 (define @t152 () (@list @t151)) % 7.12/7.48 (define @t153 () (forall (@list @t126) @t146)) % 7.12/7.48 (define @t154 () (@var "BOUND_VARIABLE_7725" tptp.mworld)) % 7.12/7.48 (define @t155 () (@list @t154)) % 7.12/7.48 (define @t156 () (or @t72 @t132 @t153 @t150)) % 7.12/7.48 (define @t157 () (tptp.big_p @t18 @t151)) % 7.12/7.48 (define @t158 () (@list @t151)) % 7.12/7.48 (define @t159 () (forall @t158 (or (not (tptp.mrel @t1 @t151)) @t157))) % 7.12/7.48 (define @t160 () (tptp.big_q @t6 @t154)) % 7.12/7.48 (define @t161 () (@list @t154)) % 7.12/7.48 (define @t162 () (forall @t161 (or (not (tptp.mrel @t1 @t154)) @t160))) % 7.12/7.48 (define @t163 () (or @t72 @t132 @t162 @t159)) % 7.12/7.48 (define @t164 () (or @t132 @t162 @t159)) % 7.12/7.48 (define @t165 () (or @t162 @t159)) % 7.12/7.48 (define @t166 () (=> @t131 @t165)) % 7.12/7.48 (define @t167 () (or @t72 @t166)) % 7.12/7.48 (define @t168 () (tptp.big_p @t18 @t1)) % 7.12/7.48 (define @t169 () (forall @t40 (or @t72 @t168))) % 7.12/7.48 (define @t170 () (@list @t1)) % 7.12/7.48 (define @t171 () (tptp.big_q @t6 @t1)) % 7.12/7.48 (define @t172 () (forall @t40 (or @t72 @t171))) % 7.12/7.48 (define @t173 () (or @t172 @t169)) % 7.12/7.48 (define @t174 () (tptp.big_p @t6 @t1)) % 7.12/7.48 (define @t175 () (forall @t40 (or @t72 @t174))) % 7.12/7.48 (define @t176 () (=> @t175 @t173)) % 7.12/7.48 (define @t177 () (lambda @t11 @t176)) % 7.12/7.48 (define @t178 () (or @t72 (_ @t177 @t1))) % 7.12/7.48 (define @t179 () (forall @t40 @t178)) % 7.12/7.48 (define @t180 () (lambda @t11 @t179)) % 7.12/7.48 (define @t181 () (lambda @t11 @t173)) % 7.12/7.48 (define @t182 () (_ @t181 @t2)) % 7.12/7.48 (define @t183 () (=> @t175 @t182)) % 7.12/7.48 (define @t184 () (lambda @t11 @t183)) % 7.12/7.48 (define @t185 () (@list @t32 @t2)) % 7.12/7.48 (define @t186 () (lambda @t11 @t169)) % 7.12/7.48 (define @t187 () (_ @t186 @t2)) % 7.12/7.48 (define @t188 () (or @t172 @t187)) % 7.12/7.48 (define @t189 () (lambda @t11 @t188)) % 7.12/7.48 (define @t190 () (_ @t19 @t1)) % 7.12/7.48 (define @t191 () (or @t72 @t190)) % 7.12/7.48 (define @t192 () (_ @t19 @t1)) % 7.12/7.48 (define @t193 () (or @t72 @t192)) % 7.12/7.48 (define @t194 () (forall @t40 @t193)) % 7.12/7.48 (define @t195 () (lambda @t11 @t194)) % 7.12/7.48 (define @t196 () (_ @t117 @t19)) % 7.12/7.48 (define @t197 () (lambda @t11 @t172)) % 7.12/7.48 (define @t198 () (_ @t197 @t2)) % 7.12/7.48 (define @t199 () (or @t198 @t33)) % 7.12/7.48 (define @t200 () (lambda @t185 @t199)) % 7.12/7.48 (define @t201 () (_ @t20 @t1)) % 7.12/7.48 (define @t202 () (or @t72 @t201)) % 7.12/7.48 (define @t203 () (_ @t20 @t1)) % 7.12/7.48 (define @t204 () (or @t72 @t203)) % 7.12/7.48 (define @t205 () (forall @t40 @t204)) % 7.12/7.48 (define @t206 () (lambda @t11 @t205)) % 7.12/7.48 (define @t207 () (_ @t117 @t20)) % 7.12/7.48 (define @t208 () (lambda @t11 @t175)) % 7.12/7.48 (define @t209 () (_ @t208 @t2)) % 7.12/7.48 (define @t210 () (=> @t209 @t33)) % 7.12/7.48 (define @t211 () (lambda @t185 @t210)) % 7.12/7.48 (define @t212 () (_ @t21 @t1)) % 7.12/7.48 (define @t213 () (or @t72 @t212)) % 7.12/7.48 (define @t214 () (_ @t21 @t1)) % 7.12/7.48 (define @t215 () (or @t72 @t214)) % 7.12/7.48 (define @t216 () (forall @t40 @t215)) % 7.12/7.48 (define @t217 () (lambda @t11 @t216)) % 7.12/7.48 (define @t218 () (_ @t117 @t21)) % 7.12/7.48 (define @t219 () (lambda @t22 (_ (_ @t117 (_ (_ @t37 @t218) (_ (_ @t36 @t207) @t196))) @t17))) % 7.12/7.48 (define @t220 () (lambda @t24 (_ (_ @t117 (_ @t143 @t219)) @t17))) % 7.12/7.48 (define @t221 () (not @t3)) % 7.12/7.48 (define @t222 () (or @t221 @t39)) % 7.12/7.48 (define @t223 () (not @t8)) % 7.12/7.48 (define @t224 () (or @t223 @t46)) % 7.12/7.48 (define @t225 () (not @t46)) % 7.12/7.48 (define @t226 () (or @t223 @t225)) % 7.12/7.48 (define @t227 () (forall @t9 (not @t50))) % 7.12/7.48 (define @t228 () (not @t227)) % 7.12/7.48 (define @t229 () (@const 0 tptp.mworld)) % 7.12/7.48 (define @t230 () (forall @t9 (not (tptp.eiw_di @t6 @t229)))) % 7.12/7.48 (define @t231 () (@quantifiers_skolemize @t230 0)) % 7.12/7.48 (define @t232 () (tptp.big_p @t231 @t62)) % 7.12/7.48 (define @t233 () (forall @t70 (or @t69 @t68 @t67 (not (forall @t65 (or @t64 @t232))) @t61 (tptp.big_q @t231 @t59) @t58 @t56))) % 7.12/7.48 (define @t234 () (@quantifiers_skolemize @t233 1)) % 7.12/7.48 (define @t235 () (tptp.eiw_di @t6 @t1)) % 7.12/7.48 (define @t236 () (or @t223 @t221 @t13)) % 7.12/7.48 (define @t237 () (@quantifiers_skolemize @t233 2)) % 7.12/7.48 (define @t238 () (@quantifiers_skolemize @t233 0)) % 7.12/7.48 (define @t239 () (@const 1 tptp.mworld)) % 7.12/7.48 (define @t240 () (forall @t9 @t223)) % 7.12/7.48 (define @t241 () (not @t240)) % 7.12/7.48 (define @t242 () (tptp.eiw_di @t231 @t229)) % 7.12/7.48 (define @t243 () (not @t230)) % 7.12/7.48 (define @t244 () (not @t242)) % 7.12/7.48 (define @t245 () (not @t244)) % 7.12/7.48 (define @t246 () (@list true)) % 7.12/7.48 (define @t247 () (tptp.eiw_di @t231 @t239)) % 7.12/7.48 (define @t248 () (tptp.mrel @t229 @t239)) % 7.12/7.48 (define @t249 () (not @t248)) % 7.12/7.48 (define @t250 () (or @t244 @t249 @t247)) % 7.12/7.48 (define @t251 () (@list false false false)) % 7.12/7.48 (define @t252 () (tptp.eiw_di @t231 tptp.mactual)) % 7.12/7.48 (define @t253 () (tptp.mrel @t239 tptp.mactual)) % 7.12/7.48 (define @t254 () (not @t253)) % 7.12/7.48 (define @t255 () (not @t247)) % 7.12/7.48 (define @t256 () (or @t255 @t254 @t252)) % 7.12/7.48 (define @t257 () (not @t233)) % 7.12/7.48 (define @t258 () (not @t252)) % 7.12/7.48 (define @t259 () (or @t258 @t257)) % 7.12/7.48 (define @t260 () (@list false false)) % 7.12/7.48 (define @t261 () (tptp.mrel @t238 @t237)) % 7.12/7.48 (define @t262 () (@quantifiers_skolemize @t233 4)) % 7.12/7.48 (define @t263 () (tptp.big_p @t234 @t262)) % 7.12/7.48 (define @t264 () (@quantifiers_skolemize @t233 3)) % 7.12/7.48 (define @t265 () (not @t261)) % 7.12/7.48 (define @t266 () (tptp.eiw_di @t234 @t238)) % 7.12/7.48 (define @t267 () (not @t266)) % 7.12/7.48 (define @t268 () (or (not (tptp.mrel tptp.mactual @t238)) @t267 @t265 (not (forall @t65 (or (not (tptp.mrel @t237 @t62)) @t232))) (not (tptp.mrel @t237 @t264)) (tptp.big_q @t231 @t264) (not (tptp.mrel @t237 @t262)) @t263)) % 7.12/7.48 (define @t269 () (@list @t268)) % 7.12/7.48 (define @t270 () (tptp.eiw_di @t234 @t237)) % 7.12/7.48 (define @t271 () (or @t267 @t265 @t270)) % 7.12/7.48 (define @t272 () (tptp.eiw_di @t234 tptp.mactual)) % 7.12/7.48 (define @t273 () (tptp.mrel @t237 tptp.mactual)) % 7.12/7.48 (define @t274 () (not @t273)) % 7.12/7.48 (define @t275 () (not @t270)) % 7.12/7.48 (define @t276 () (or @t275 @t274 @t272)) % 7.12/7.48 (define @t277 () (tptp.big_p @t234 @t62)) % 7.12/7.48 (define @t278 () (forall @t70 (or @t69 @t68 @t67 (not (forall @t65 (or @t64 @t277))) @t61 (tptp.big_q @t234 @t59) @t58 @t56))) % 7.12/7.48 (define @t279 () (not @t278)) % 7.12/7.48 (define @t280 () (not @t272)) % 7.12/7.48 (define @t281 () (or @t280 @t279)) % 7.12/7.48 (define @t282 () (@quantifiers_skolemize @t278 2)) % 7.12/7.48 (define @t283 () (forall @t65 (or (not (tptp.mrel @t282 @t62)) @t277))) % 7.12/7.48 (define @t284 () (@quantifiers_skolemize @t278 4)) % 7.12/7.48 (define @t285 () (@quantifiers_skolemize @t278 1)) % 7.12/7.48 (define @t286 () (@quantifiers_skolemize @t278 3)) % 7.12/7.48 (define @t287 () (not @t283)) % 7.12/7.48 (define @t288 () (@quantifiers_skolemize @t278 0)) % 7.12/7.48 (define @t289 () (or (not (tptp.mrel tptp.mactual @t288)) (not (tptp.eiw_di @t285 @t288)) (not (tptp.mrel @t288 @t282)) @t287 (not (tptp.mrel @t282 @t286)) (tptp.big_q @t234 @t286) (not (tptp.mrel @t282 @t284)) (tptp.big_p @t285 @t284))) % 7.12/7.48 (define @t290 () (tptp.mrel @t282 @t262)) % 7.12/7.48 (define @t291 () (not @t290)) % 7.12/7.48 (define @t292 () (or @t291 @t263)) % 7.12/7.48 (define @t293 () (@list true false)) % 7.12/7.48 (define @t294 () (forall @t4 @t53)) % 7.12/7.48 (assume @p1 @t5) % 7.12/7.48 (assume @p2 @t12) % 7.12/7.48 (assume @p3 @t16) % 7.12/7.48 (assume @p4 @t26) % 7.12/7.48 (assume @p5 true) % 7.12/7.48 (step @p6 (= tptp.mlocal @t28) :rule refl :args (@t28)) % 7.12/7.48 (step @p7 (= tptp.mnot @t31) :rule refl :args (@t31)) % 7.12/7.48 (step @p8 (= tptp.mand @t35) :rule refl :args (@t35)) % 7.12/7.48 (step @p9 (= tptp.mor @t36) :rule refl :args (@t36)) % 7.12/7.48 (step @p10 (= tptp.mimplies @t37) :rule refl :args (@t37)) % 7.12/7.48 (step @p11 (= tptp.mequiv @t38) :rule refl :args (@t38)) % 7.12/7.48 (step @p12 (= tptp.mbox @t43) :rule refl :args (@t43)) % 7.12/7.48 (step @p13 (= tptp.mdia @t44) :rule refl :args (@t44)) % 7.12/7.48 (step @p14 (= tptp.mforall_di @t49) :rule refl :args (@t49)) % 7.12/7.48 (step @p15 (= tptp.mexists_di @t52) :rule refl :args (@t52)) % 7.12/7.48 (step @p16 :rule refl :args (@t53)) % 7.12/7.48 (step @p17 :rule refl :args (@t3)) % 7.12/7.48 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t53))) % 7.12/7.48 (step @p19 :rule symm :premises (@p18)) % 7.12/7.48 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 7.12/7.48 (step @p21 :rule cong :premises (@p20) :args (@t5)) % 7.12/7.48 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 7.12/7.48 (step @p23 :rule bool-double-not-elim :args (@t71)) % 7.12/7.48 (step @p24 :rule beta-reduce :args ((= @t78 (not @t71)))) % 7.12/7.48 (step @p25 :rule beta-reduce :args ((= (_ @t28 @t77) @t78))) % 7.12/7.48 (step @p26 :rule trans :premises (@p25 @p24)) % 7.12/7.48 (step @p27 :rule beta-reduce :args ((= @t82 @t74))) % 7.12/7.48 (step @p28 :rule cong :premises (@p27) :args (@t83)) % 7.12/7.48 (step @p29 :rule refl :args (@t76)) % 7.12/7.48 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t84)) % 7.12/7.48 (step @p31 :rule cong :premises (@p30) :args (@t85)) % 7.12/7.48 (step @p32 :rule cong :premises (@p31) :args (@t86)) % 7.12/7.48 (step @p33 :rule cong :premises (@p32) :args (@t87)) % 7.12/7.48 (step @p34 :rule beta-reduce :args ((= (_ @t89 @t81) @t87))) % 7.12/7.48 (step @p35 :rule trans :premises (@p34 @p33)) % 7.12/7.48 (step @p36 :rule beta-reduce :args ((= (_ (lambda @t11 @t74) @t17) @t80))) % 7.12/7.48 (step @p37 :rule refl :args (@t17)) % 7.12/7.48 (step @p38 :rule aci_norm :args ((= @t91 @t73))) % 7.12/7.48 (step @p39 :rule cong :premises (@p38) :args (@t92)) % 7.12/7.48 (step @p40 :rule quant-merge-prenex :args ((= (forall @t40 @t94) @t92))) % 7.12/7.48 (step @p41 :rule alpha_equiv :args (@t95 (@list @t55 @t57 @t59 @t54) (@list @t99 @t98 @t97 @t96))) % 7.12/7.48 (step @p42 :rule refl :args (@t72)) % 7.12/7.48 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t100)) % 7.12/7.48 (step @p44 :rule quant-miniscope-or :args ((= @t94 @t100))) % 7.12/7.48 (step @p45 :rule trans :premises (@p44 @p43)) % 7.12/7.48 (step @p46 :rule symm :premises (@p45)) % 7.12/7.48 (step @p47 :rule cong :premises (@p46) :args ((forall @t40 (or @t72 @t107)))) % 7.12/7.48 (step @p48 :rule trans :premises (@p47 @p40)) % 7.12/7.48 (step @p49 :rule trans :premises (@p48 @p39)) % 7.12/7.48 (step @p50 :rule beta-reduce :args ((= @t112 @t107))) % 7.12/7.48 (step @p51 :rule refl :args (@t72)) % 7.12/7.48 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t113)) % 7.12/7.48 (step @p53 :rule cong :premises (@p52) :args (@t114)) % 7.12/7.48 (step @p54 :rule trans :premises (@p53 @p49)) % 7.12/7.48 (step @p55 :rule cong :premises (@p54) :args (@t115)) % 7.12/7.48 (step @p56 :rule beta-reduce :args ((= (_ @t117 @t111) @t115))) % 7.12/7.48 (step @p57 :rule trans :premises (@p56 @p55)) % 7.12/7.48 (step @p58 :rule aci_norm :args ((= @t119 @t110))) % 7.12/7.48 (step @p59 :rule cong :premises (@p58) :args (@t120)) % 7.12/7.48 (step @p60 :rule quant-merge-prenex :args ((= (forall @t123 @t122) @t120))) % 7.12/7.48 (step @p61 :rule alpha_equiv :args (@t124 (@list @t98 @t97 @t96) (@list @t1 @t126 @t125))) % 7.12/7.48 (step @p62 :rule refl :args (@t109)) % 7.12/7.48 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t127)) % 7.12/7.48 (step @p64 :rule quant-miniscope-or :args ((= @t122 @t127))) % 7.12/7.48 (step @p65 :rule trans :premises (@p64 @p63)) % 7.12/7.48 (step @p66 :rule symm :premises (@p65)) % 7.12/7.48 (step @p67 :rule cong :premises (@p66) :args ((forall @t123 (or @t109 @t134)))) % 7.12/7.48 (step @p68 :rule trans :premises (@p67 @p60)) % 7.12/7.48 (step @p69 :rule trans :premises (@p68 @p59)) % 7.12/7.48 (step @p70 :rule beta-reduce :args ((= @t138 @t134))) % 7.12/7.48 (step @p71 :rule refl :args (@t109)) % 7.12/7.48 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t139)) % 7.12/7.48 (step @p73 :rule cong :premises (@p72) :args (@t140)) % 7.12/7.48 (step @p74 :rule trans :premises (@p73 @p69)) % 7.12/7.48 (step @p75 :rule cong :premises (@p74) :args (@t141)) % 7.12/7.48 (step @p76 :rule beta-reduce :args ((= (_ (lambda @t48 (forall @t123 (or @t109 (_ @t45 @t99 @t2)))) @t137) @t141))) % 7.12/7.48 (step @p77 :rule trans :premises (@p76 @p75)) % 7.12/7.48 (step @p78 :rule refl :args (@t137)) % 7.12/7.48 (step @p79 :rule alpha_equiv :args (@t142 (@list @t6) (@list @t99))) % 7.12/7.48 (step @p80 :rule cong :premises (@p79) :args (@t143)) % 7.12/7.48 (step @p81 :rule ho_cong :premises (@p80 @p78)) % 7.12/7.48 (step @p82 :rule trans :premises (@p81 @p77)) % 7.12/7.48 (step @p83 :rule beta-reduce :args ((= (_ (lambda @t11 (forall @t133 @t144)) @t17) @t136))) % 7.12/7.48 (step @p84 :rule aci_norm :args ((= @t147 @t144))) % 7.12/7.48 (step @p85 :rule cong :premises (@p84) :args (@t148)) % 7.12/7.48 (step @p86 :rule quant-merge-prenex :args ((= (forall @t40 @t149) @t148))) % 7.12/7.48 (step @p87 :rule alpha_equiv :args (@t150 (@list @t125) @t152)) % 7.12/7.48 (step @p88 :rule alpha_equiv :args (@t153 (@list @t126) @t155)) % 7.12/7.48 (step @p89 :rule refl :args (@t132)) % 7.12/7.48 (step @p90 :rule nary_cong :premises (@p42 @p89 @p88 @p87) :args (@t156)) % 7.12/7.48 (step @p91 :rule quant-miniscope-or :args ((= @t149 @t156))) % 7.12/7.48 (step @p92 :rule trans :premises (@p91 @p90)) % 7.12/7.48 (step @p93 :rule symm :premises (@p92)) % 7.12/7.48 (step @p94 :rule cong :premises (@p93) :args ((forall @t40 @t163))) % 7.12/7.48 (step @p95 :rule trans :premises (@p94 @p86)) % 7.12/7.48 (step @p96 :rule trans :premises (@p95 @p85)) % 7.12/7.48 (step @p97 :rule aci_norm :args ((= (or @t72 @t164) @t163))) % 7.12/7.48 (step @p98 :rule aci_norm :args ((= (or @t132 @t165) @t164))) % 7.12/7.48 (step @p99 :rule bool-impl-elim :args (@t131 @t165)) % 7.12/7.48 (step @p100 :rule trans :premises (@p99 @p98)) % 7.12/7.48 (step @p101 :rule nary_cong :premises (@p42 @p100) :args (@t167)) % 7.12/7.48 (step @p102 :rule trans :premises (@p101 @p97)) % 7.12/7.48 (step @p103 :rule cong :premises (@p102) :args ((forall @t40 @t167))) % 7.12/7.48 (step @p104 :rule trans :premises (@p103 @p96)) % 7.12/7.48 (step @p105 :rule beta-reduce :args ((= (_ (lambda @t11 (=> (forall @t65 (or (not (tptp.mrel @t2 @t62)) @t63)) (or (forall @t161 (or (not (tptp.mrel @t2 @t154)) @t160)) (forall @t158 (or (not (tptp.mrel @t2 @t151)) @t157))))) @t1) @t166))) % 7.12/7.48 (step @p106 :rule refl :args (@t1)) % 7.12/7.48 (step @p107 :rule alpha_equiv :args (@t169 @t170 @t152)) % 7.12/7.48 (step @p108 :rule alpha_equiv :args (@t172 @t170 @t155)) % 7.12/7.48 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t173)) % 7.12/7.48 (step @p110 :rule alpha_equiv :args (@t175 @t170 (@list @t62))) % 7.12/7.48 (step @p111 :rule cong :premises (@p110 @p109) :args (@t176)) % 7.12/7.48 (step @p112 :rule cong :premises (@p111) :args (@t177)) % 7.12/7.48 (step @p113 :rule ho_cong :premises (@p112 @p106)) % 7.12/7.48 (step @p114 :rule trans :premises (@p113 @p105)) % 7.12/7.48 (step @p115 :rule nary_cong :premises (@p51 @p114) :args (@t178)) % 7.12/7.48 (step @p116 :rule cong :premises (@p115) :args (@t179)) % 7.12/7.48 (step @p117 :rule trans :premises (@p116 @p104)) % 7.12/7.48 (step @p118 :rule cong :premises (@p117) :args (@t180)) % 7.12/7.48 (step @p119 :rule beta-reduce :args ((= (_ @t117 @t177) @t180))) % 7.12/7.48 (step @p120 :rule trans :premises (@p119 @p118)) % 7.12/7.48 (step @p121 :rule beta-reduce :args ((= @t182 @t173))) % 7.12/7.48 (step @p122 :rule refl :args (@t175)) % 7.12/7.48 (step @p123 :rule cong :premises (@p122 @p121) :args (@t183)) % 7.12/7.48 (step @p124 :rule cong :premises (@p123) :args (@t184)) % 7.12/7.48 (step @p125 :rule beta-reduce :args ((= (_ (lambda @t185 (=> @t175 @t33)) @t181) @t184))) % 7.12/7.48 (step @p126 :rule trans :premises (@p125 @p124)) % 7.12/7.48 (step @p127 :rule beta-reduce :args ((= @t187 @t169))) % 7.12/7.48 (step @p128 :rule refl :args (@t172)) % 7.12/7.48 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t188)) % 7.12/7.48 (step @p130 :rule cong :premises (@p129) :args (@t189)) % 7.12/7.48 (step @p131 :rule beta-reduce :args ((= (_ (lambda @t185 (or @t172 @t33)) @t186) @t189))) % 7.12/7.48 (step @p132 :rule trans :premises (@p131 @p130)) % 7.12/7.48 (step @p133 :rule refl :args (@t168)) % 7.12/7.48 (step @p134 :rule refl :args (@t190)) % 7.12/7.48 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t190 @t168))) % 7.12/7.48 (step @p136 :rule symm :premises (@p135)) % 7.12/7.48 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 7.12/7.48 (step @p138 :rule nary_cong :premises (@p42 @p137) :args (@t191)) % 7.12/7.48 (step @p139 :rule cong :premises (@p138) :args ((forall @t40 @t191))) % 7.12/7.48 (step @p140 :rule refl :args (@t192)) % 7.12/7.48 (step @p141 :rule nary_cong :premises (@p51 @p140) :args (@t193)) % 7.12/7.48 (step @p142 :rule cong :premises (@p141) :args (@t194)) % 7.12/7.48 (step @p143 :rule trans :premises (@p142 @p139)) % 7.12/7.48 (step @p144 :rule cong :premises (@p143) :args (@t195)) % 7.12/7.48 (step @p145 :rule beta-reduce :args ((= @t196 @t195))) % 7.12/7.48 (step @p146 :rule trans :premises (@p145 @p144)) % 7.12/7.48 (step @p147 :rule refl :args (@t33)) % 7.12/7.48 (step @p148 :rule beta-reduce :args ((= @t198 @t172))) % 7.12/7.48 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t199)) % 7.12/7.48 (step @p150 :rule cong :premises (@p149) :args (@t200)) % 7.12/7.48 (step @p151 :rule beta-reduce :args ((= (_ @t36 @t197) @t200))) % 7.12/7.48 (step @p152 :rule trans :premises (@p151 @p150)) % 7.12/7.48 (step @p153 :rule refl :args (@t171)) % 7.12/7.48 (step @p154 :rule refl :args (@t201)) % 7.12/7.48 (step @p155 :rule cong :premises (@p154 @p153) :args ((= @t201 @t171))) % 7.12/7.48 (step @p156 :rule symm :premises (@p155)) % 7.12/7.48 (step @p157 :rule eq_resolve :premises (@p154 @p156)) % 7.12/7.48 (step @p158 :rule nary_cong :premises (@p42 @p157) :args (@t202)) % 7.12/7.48 (step @p159 :rule cong :premises (@p158) :args ((forall @t40 @t202))) % 7.12/7.48 (step @p160 :rule refl :args (@t203)) % 7.12/7.48 (step @p161 :rule nary_cong :premises (@p51 @p160) :args (@t204)) % 7.12/7.48 (step @p162 :rule cong :premises (@p161) :args (@t205)) % 7.12/7.48 (step @p163 :rule trans :premises (@p162 @p159)) % 7.12/7.48 (step @p164 :rule cong :premises (@p163) :args (@t206)) % 7.12/7.48 (step @p165 :rule beta-reduce :args ((= @t207 @t206))) % 7.12/7.48 (step @p166 :rule trans :premises (@p165 @p164)) % 7.12/7.48 (step @p167 :rule refl :args (@t36)) % 7.12/7.48 (step @p168 :rule ho_cong :premises (@p167 @p166)) % 7.12/7.48 (step @p169 :rule trans :premises (@p168 @p152)) % 7.12/7.48 (step @p170 :rule ho_cong :premises (@p169 @p146)) % 7.12/7.48 (step @p171 :rule trans :premises (@p170 @p132)) % 7.12/7.48 (step @p172 :rule beta-reduce :args ((= @t209 @t175))) % 7.12/7.48 (step @p173 :rule cong :premises (@p172 @p147) :args (@t210)) % 7.12/7.48 (step @p174 :rule cong :premises (@p173) :args (@t211)) % 7.12/7.48 (step @p175 :rule beta-reduce :args ((= (_ @t37 @t208) @t211))) % 7.12/7.48 (step @p176 :rule trans :premises (@p175 @p174)) % 7.12/7.48 (step @p177 :rule refl :args (@t174)) % 7.12/7.48 (step @p178 :rule refl :args (@t212)) % 7.12/7.48 (step @p179 :rule cong :premises (@p178 @p177) :args ((= @t212 @t174))) % 7.12/7.48 (step @p180 :rule symm :premises (@p179)) % 7.12/7.48 (step @p181 :rule eq_resolve :premises (@p178 @p180)) % 7.12/7.48 (step @p182 :rule nary_cong :premises (@p42 @p181) :args (@t213)) % 7.12/7.48 (step @p183 :rule cong :premises (@p182) :args ((forall @t40 @t213))) % 7.12/7.48 (step @p184 :rule refl :args (@t214)) % 7.12/7.48 (step @p185 :rule nary_cong :premises (@p51 @p184) :args (@t215)) % 7.12/7.48 (step @p186 :rule cong :premises (@p185) :args (@t216)) % 7.12/7.48 (step @p187 :rule trans :premises (@p186 @p183)) % 7.12/7.48 (step @p188 :rule cong :premises (@p187) :args (@t217)) % 7.12/7.48 (step @p189 :rule beta-reduce :args ((= @t218 @t217))) % 7.12/7.48 (step @p190 :rule trans :premises (@p189 @p188)) % 7.12/7.48 (step @p191 :rule refl :args (@t37)) % 7.12/7.48 (step @p192 :rule ho_cong :premises (@p191 @p190)) % 7.12/7.48 (step @p193 :rule trans :premises (@p192 @p176)) % 7.12/7.48 (step @p194 :rule ho_cong :premises (@p193 @p171)) % 7.12/7.48 (step @p195 :rule trans :premises (@p194 @p126)) % 7.12/7.48 (step @p196 :rule refl :args (@t117)) % 7.12/7.48 (step @p197 :rule ho_cong :premises (@p196 @p195)) % 7.12/7.48 (step @p198 :rule trans :premises (@p197 @p120)) % 7.12/7.48 (step @p199 :rule ho_cong :premises (@p198 @p37)) % 7.12/7.48 (step @p200 :rule trans :premises (@p199 @p83)) % 7.12/7.48 (step @p201 :rule cong :premises (@p200) :args (@t219)) % 7.12/7.48 (step @p202 :rule refl :args (@t143)) % 7.12/7.48 (step @p203 :rule ho_cong :premises (@p202 @p201)) % 7.12/7.48 (step @p204 :rule trans :premises (@p203 @p82)) % 7.12/7.48 (step @p205 :rule ho_cong :premises (@p196 @p204)) % 7.12/7.48 (step @p206 :rule trans :premises (@p205 @p57)) % 7.12/7.48 (step @p207 :rule ho_cong :premises (@p206 @p37)) % 7.12/7.48 (step @p208 :rule trans :premises (@p207 @p36)) % 7.12/7.48 (step @p209 :rule cong :premises (@p208) :args (@t220)) % 7.12/7.48 (step @p210 :rule refl :args (@t89)) % 7.12/7.48 (step @p211 :rule ho_cong :premises (@p210 @p209)) % 7.12/7.48 (step @p212 :rule trans :premises (@p211 @p35)) % 7.12/7.48 (step @p213 :rule refl :args (@t28)) % 7.12/7.48 (step @p214 :rule ho_cong :premises (@p213 @p212)) % 7.12/7.48 (step @p215 :rule trans :premises (@p214 @p26)) % 7.12/7.48 (step @p216 :rule cong :premises (@p215) :args ((not (_ @t28 (_ @t89 @t220))))) % 7.12/7.48 (step @p217 :rule trans :premises (@p216 @p23)) % 7.12/7.48 (step @p218 :rule refl :args (@t19)) % 7.12/7.48 (step @p219 :rule refl :args (@t116)) % 7.12/7.48 (step @p220 :rule refl :args (@t39)) % 7.12/7.48 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t39 @t116))) % 7.12/7.48 (step @p222 :rule symm :premises (@p221)) % 7.12/7.48 (step @p223 :rule eq_resolve :premises (@p220 @p222)) % 7.12/7.48 (step @p224 :rule cong :premises (@p20) :args (@t221)) % 7.12/7.48 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t222)) % 7.12/7.48 (step @p226 :rule cong :premises (@p225) :args ((forall @t40 @t222))) % 7.12/7.48 (step @p227 :rule bool-impl-elim :args (@t3 @t39)) % 7.12/7.48 (step @p228 :rule cong :premises (@p227) :args (@t41)) % 7.12/7.48 (step @p229 :rule trans :premises (@p228 @p226)) % 7.12/7.48 (step @p230 :rule cong :premises (@p229) :args (@t43)) % 7.12/7.48 (step @p231 :rule trans :premises (@p12 @p230)) % 7.12/7.48 (step @p232 :rule ho_cong :premises (@p231 @p218)) % 7.12/7.48 (step @p233 :rule refl :args (@t20)) % 7.12/7.48 (step @p234 :rule ho_cong :premises (@p231 @p233)) % 7.12/7.48 (step @p235 :rule ho_cong :premises (@p9 @p234)) % 7.12/7.48 (step @p236 :rule ho_cong :premises (@p235 @p232)) % 7.12/7.48 (step @p237 :rule refl :args (@t21)) % 7.12/7.48 (step @p238 :rule ho_cong :premises (@p231 @p237)) % 7.12/7.48 (step @p239 :rule ho_cong :premises (@p10 @p238)) % 7.12/7.48 (step @p240 :rule ho_cong :premises (@p239 @p236)) % 7.12/7.48 (step @p241 :rule ho_cong :premises (@p231 @p240)) % 7.12/7.48 (step @p242 :rule ho_cong :premises (@p241 @p37)) % 7.12/7.48 (step @p243 :rule cong :premises (@p242) :args (@t23)) % 7.12/7.48 (step @p244 :rule refl :args (@t88)) % 7.12/7.48 (step @p245 :rule refl :args (@t46)) % 7.12/7.48 (step @p246 :rule cong :premises (@p245 @p244) :args ((= @t46 @t88))) % 7.12/7.48 (step @p247 :rule symm :premises (@p246)) % 7.12/7.48 (step @p248 :rule eq_resolve :premises (@p245 @p247)) % 7.12/7.48 (step @p249 :rule refl :args (@t75)) % 7.12/7.48 (step @p250 :rule refl :args (@t8)) % 7.12/7.48 (step @p251 :rule cong :premises (@p250 @p249) :args ((= @t8 @t75))) % 7.12/7.48 (step @p252 :rule symm :premises (@p251)) % 7.12/7.48 (step @p253 :rule eq_resolve :premises (@p250 @p252)) % 7.12/7.48 (step @p254 :rule cong :premises (@p253) :args (@t223)) % 7.12/7.48 (step @p255 :rule nary_cong :premises (@p254 @p248) :args (@t224)) % 7.12/7.48 (step @p256 :rule cong :premises (@p255) :args ((forall @t9 @t224))) % 7.12/7.48 (step @p257 :rule bool-impl-elim :args (@t8 @t46)) % 7.12/7.48 (step @p258 :rule cong :premises (@p257) :args (@t47)) % 7.12/7.48 (step @p259 :rule trans :premises (@p258 @p256)) % 7.12/7.48 (step @p260 :rule cong :premises (@p259) :args (@t49)) % 7.12/7.48 (step @p261 :rule trans :premises (@p14 @p260)) % 7.12/7.48 (step @p262 :rule ho_cong :premises (@p261 @p243)) % 7.12/7.48 (step @p263 :rule ho_cong :premises (@p231 @p262)) % 7.12/7.48 (step @p264 :rule ho_cong :premises (@p263 @p37)) % 7.12/7.48 (step @p265 :rule cong :premises (@p264) :args (@t25)) % 7.12/7.48 (step @p266 :rule cong :premises (@p248) :args (@t225)) % 7.12/7.48 (step @p267 :rule nary_cong :premises (@p254 @p266) :args (@t226)) % 7.12/7.48 (step @p268 :rule cong :premises (@p267) :args ((forall @t9 @t226))) % 7.12/7.48 (step @p269 :rule bool-and-de-morgan :args (@t8 @t46 true)) % 7.12/7.48 (step @p270 :rule cong :premises (@p269) :args (@t227)) % 7.12/7.48 (step @p271 :rule trans :premises (@p270 @p268)) % 7.12/7.48 (step @p272 :rule cong :premises (@p271) :args (@t228)) % 7.12/7.48 (step @p273 :rule exists-elim :args ((= @t51 @t228))) % 7.12/7.48 (step @p274 :rule trans :premises (@p273 @p272)) % 7.12/7.48 (step @p275 :rule cong :premises (@p274) :args (@t52)) % 7.12/7.48 (step @p276 :rule trans :premises (@p15 @p275)) % 7.12/7.48 (step @p277 :rule ho_cong :premises (@p276 @p265)) % 7.12/7.48 (step @p278 :rule ho_cong :premises (@p6 @p277)) % 7.12/7.48 (step @p279 :rule cong :premises (@p278) :args (@t26)) % 7.12/7.48 (step @p280 :rule trans :premises (@p279 @p217)) % 7.12/7.48 (step @p281 :rule eq_resolve :premises (@p4 @p280)) % 7.12/7.48 (step @p282 :rule instantiate :premises (@p281) :args ((@list @t234))) % 7.12/7.48 (step @p283 :rule refl :args (@t235)) % 7.12/7.48 (step @p284 :rule refl :args (@t13)) % 7.12/7.48 (step @p285 :rule cong :premises (@p284 @p283) :args ((= @t13 @t235))) % 7.12/7.48 (step @p286 :rule symm :premises (@p285)) % 7.12/7.48 (step @p287 :rule eq_resolve :premises (@p284 @p286)) % 7.12/7.48 (step @p288 :rule nary_cong :premises (@p254 @p224 @p287) :args (@t236)) % 7.12/7.48 (step @p289 :rule cong :premises (@p288) :args ((forall @t15 @t236))) % 7.12/7.48 (step @p290 :rule aci_norm :args ((= (or (or @t223 @t221) @t13) @t236))) % 7.12/7.48 (step @p291 :rule bool-and-de-morgan :args (@t8 @t3 true)) % 7.12/7.48 (step @p292 :rule nary_cong :premises (@p291 @p284) :args ((or (not @t14) @t13))) % 7.12/7.48 (step @p293 :rule trans :premises (@p292 @p290)) % 7.12/7.48 (step @p294 :rule bool-impl-elim :args (@t14 @t13)) % 7.12/7.48 (step @p295 :rule trans :premises (@p294 @p293)) % 7.12/7.48 (step @p296 :rule cong :premises (@p295) :args (@t16)) % 7.12/7.48 (step @p297 :rule trans :premises (@p296 @p289)) % 7.12/7.48 (step @p298 :rule eq_resolve :premises (@p3 @p297)) % 7.12/7.48 (step @p299 :rule instantiate :premises (@p298) :args ((@list @t237 tptp.mactual @t234))) % 7.12/7.48 (step @p300 :rule instantiate :premises (@p22) :args ((@list @t237 tptp.mactual))) % 7.12/7.48 (step @p301 :rule instantiate :premises (@p298) :args ((@list @t238 @t237 @t234))) % 7.12/7.48 (step @p302 :rule instantiate :premises (@p281) :args ((@list @t231))) % 7.12/7.48 (step @p303 :rule instantiate :premises (@p298) :args ((@list @t239 tptp.mactual @t231))) % 7.12/7.48 (step @p304 :rule instantiate :premises (@p22) :args ((@list @t239 tptp.mactual))) % 7.12/7.48 (step @p305 :rule instantiate :premises (@p298) :args ((@list @t229 @t239 @t231))) % 7.12/7.48 (step @p306 :rule instantiate :premises (@p22) :args ((@list @t229 @t239))) % 7.12/7.48 (step @p307 :rule cong :premises (@p254) :args (@t240)) % 7.12/7.48 (step @p308 :rule cong :premises (@p307) :args (@t241)) % 7.12/7.48 (step @p309 :rule exists-elim :args ((= @t10 @t241))) % 7.12/7.48 (step @p310 :rule trans :premises (@p309 @p308)) % 7.12/7.48 (step @p311 :rule cong :premises (@p310) :args (@t12)) % 7.12/7.48 (step @p312 :rule eq_resolve :premises (@p2 @p311)) % 7.12/7.48 (step @p313 :rule instantiate :premises (@p312) :args ((@list @t229))) % 7.12/7.48 (step @p314 :rule refl :args (@t242)) % 7.12/7.48 (step @p315 :rule bool-double-not-elim :args (@t230)) % 7.12/7.48 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t243) @t242))) % 7.12/7.48 (step @p317 :rule bool-double-not-elim :args (@t242)) % 7.12/7.48 (step @p318 :rule refl :args (@t243)) % 7.12/7.48 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t243 @t245))) % 7.12/7.48 (assume-push @p380 @t243) % 7.12/7.48 (step @p321 :rule skolemize :premises (@p313)) % 7.12/7.48 (step-pop @p381 :rule scope :premises (@p321)) % 7.12/7.48 (step @p322 :rule process_scope :premises (@p381) :args (@t245)) % 7.12/7.48 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 7.12/7.48 (step @p325 :rule implies_elim :premises (@p324)) % 7.12/7.48 (step @p326 :rule eq_resolve :premises (@p325 @p316)) % 7.12/7.48 (step @p327 :rule chain_m_resolution :premises (@p326 @p313) :args (@t242 @t246 (@list @t230))) % 7.12/7.48 (step @p328 :rule cnf_or_pos :args (@t250)) % 7.12/7.48 (step @p329 :rule reordering :premises (@p328) :args ((or @t244 @t247 @t249 (not @t250)))) % 7.12/7.48 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p306 @p305) :args (@t247 @t251 (@list @t242 @t248 @t250))) % 7.12/7.48 (step @p331 :rule cnf_or_pos :args (@t256)) % 7.12/7.48 (step @p332 :rule reordering :premises (@p331) :args ((or @t255 @t254 @t252 (not @t256)))) % 7.12/7.48 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p304 @p303) :args (@t252 @t251 (@list @t247 @t253 @t256))) % 7.12/7.48 (step @p334 :rule cnf_or_pos :args (@t259)) % 7.12/7.48 (step @p335 :rule reordering :premises (@p334) :args ((or @t258 @t257 (not @t259)))) % 7.12/7.48 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p302) :args (@t257 @t260 (@list @t252 @t259))) % 7.12/7.48 (step @p337 :rule skolemize :premises (@p336)) % 7.12/7.48 (step @p338 :rule bool-double-not-elim :args (@t261)) % 7.12/7.48 (step @p339 :rule refl :args (@t268)) % 7.12/7.48 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t268 (not @t265)))) % 7.12/7.48 (step @p341 :rule cnf_or_neg :args (@t268 2)) % 7.12/7.48 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 7.12/7.48 (step @p343 :rule reordering :premises (@p342) :args ((or @t261 @t268))) % 7.12/7.48 (step @p344 :rule chain_m_resolution :premises (@p343 @p337) :args (@t261 @t246 @t269)) % 7.12/7.48 (step @p345 :rule bool-double-not-elim :args (@t266)) % 7.12/7.48 (step @p346 :rule nary_cong :premises (@p339 @p345) :args ((or @t268 (not @t267)))) % 7.12/7.48 (step @p347 :rule cnf_or_neg :args (@t268 1)) % 7.12/7.48 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 7.12/7.48 (step @p349 :rule reordering :premises (@p348) :args ((or @t266 @t268))) % 7.12/7.48 (step @p350 :rule chain_m_resolution :premises (@p349 @p337) :args (@t266 @t246 @t269)) % 7.12/7.48 (step @p351 :rule cnf_or_pos :args (@t271)) % 7.12/7.48 (step @p352 :rule reordering :premises (@p351) :args ((or @t267 @t265 @t270 (not @t271)))) % 7.12/7.48 (step @p353 :rule chain_m_resolution :premises (@p352 @p350 @p344 @p301) :args (@t270 @t251 (@list @t266 @t261 @t271))) % 7.12/7.48 (step @p354 :rule cnf_or_pos :args (@t276)) % 7.12/7.48 (step @p355 :rule reordering :premises (@p354) :args ((or @t275 @t274 @t272 (not @t276)))) % 7.12/7.48 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p300 @p299) :args (@t272 @t251 (@list @t270 @t273 @t276))) % 7.12/7.48 (step @p357 :rule cnf_or_pos :args (@t281)) % 7.12/7.48 (step @p358 :rule reordering :premises (@p357) :args ((or @t280 @t279 (not @t281)))) % 7.12/7.48 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p282) :args (@t279 @t260 (@list @t272 @t281))) % 7.12/7.48 (step @p360 :rule skolemize :premises (@p359)) % 7.12/7.48 (step @p361 :rule bool-double-not-elim :args (@t283)) % 7.12/7.48 (step @p362 :rule refl :args (@t289)) % 7.12/7.48 (step @p363 :rule nary_cong :premises (@p362 @p361) :args ((or @t289 (not @t287)))) % 7.12/7.48 (step @p364 :rule cnf_or_neg :args (@t289 3)) % 7.12/7.48 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 7.12/7.48 (step @p366 :rule reordering :premises (@p365) :args ((or @t283 @t289))) % 7.12/7.48 (step @p367 :rule chain_m_resolution :premises (@p366 @p360) :args (@t283 @t246 (@list @t289))) % 7.12/7.48 (step @p368 :rule instantiate :premises (@p367) :args ((@list @t262))) % 7.12/7.48 (step @p369 :rule cnf_or_neg :args (@t268 7)) % 7.12/7.49 (step @p370 :rule chain_m_resolution :premises (@p369 @p337) :args ((not @t263) @t246 @t269)) % 7.12/7.49 (step @p371 :rule cnf_or_pos :args (@t292)) % 7.12/7.49 (step @p372 :rule reordering :premises (@p371) :args ((or @t263 @t291 (not @t292)))) % 7.12/7.49 (step @p373 :rule chain_m_resolution :premises (@p372 @p370 @p368) :args (@t291 @t293 (@list @t263 @t292))) % 7.12/7.49 (assume-push @p382 @t294) % 7.12/7.49 (step @p375 :rule instantiate :premises (@p22) :args ((@list @t282 @t262))) % 7.12/7.49 (step-pop @p383 :rule scope :premises (@p375)) % 7.12/7.49 (step @p376 :rule process_scope :premises (@p383) :args (@t290)) % 7.12/7.49 (step @p378 :rule implies_elim :premises (@p376)) % 7.12/7.49 (step @p379 false :rule chain_m_resolution :premises (@p378 @p373 @p22) :args (false @t293 (@list @t290 @t294))) % 7.12/7.49 ) % 7.12/7.49 % SZS output end Proof % 7.12/7.49 % cvc5 exiting %------------------------------------------------------------------------------