%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ149^13 : 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 : n015.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 08:44:19 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ149^13 : 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 : n015.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 13:19:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.39/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort tptp.mindex 0) % 0.39/0.59 (declare-sort tptp.mworld 0) % 0.39/0.59 (declare-const tptp.mactual tptp.mworld) % 0.39/0.59 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.39/0.59 (declare-const |tptp.'#pour_a'| tptp.mindex) % 0.39/0.59 (declare-const |tptp.'#pour_b'| tptp.mindex) % 0.39/0.59 (declare-const |tptp.'#make_c'| tptp.mindex) % 0.39/0.59 (declare-const tptp.acid (-> tptp.mworld Bool)) % 0.39/0.59 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.39/0.59 (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)))))) % 0.39/0.59 (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))))))) % 0.39/0.59 (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))))))) % 0.39/0.59 (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))))))) % 0.39/0.59 (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))))))) % 0.39/0.59 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.59 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.39/0.59 (define @t1 () (_ tptp.mbox |tptp.'#make_c'|)) % 0.39/0.59 (define @t2 () (_ @t1 tptp.acid)) % 0.39/0.59 (define @t3 () (_ tptp.mbox |tptp.'#pour_b'|)) % 0.39/0.59 (define @t4 () (_ tptp.mbox |tptp.'#pour_a'|)) % 0.39/0.59 (define @t5 () (_ tptp.mnot tptp.acid)) % 0.39/0.59 (define @t6 () (_ @t1 @t5)) % 0.39/0.59 (define @t7 () (_ @t4 @t5)) % 0.39/0.59 (define @t8 () (_ tptp.mdia |tptp.'#pour_a'|)) % 0.39/0.59 (define @t9 () (not (_ tptp.mlocal (_ (_ tptp.mand (_ @t8 @t5)) (_ @t8 (_ (_ tptp.mdia |tptp.'#pour_b'|) tptp.acid)))))) % 0.39/0.59 (define @t10 () (@var "Phi" (-> tptp.mworld Bool))) % 0.39/0.59 (define @t11 () (lambda (@list @t10) (_ @t10 tptp.mactual))) % 0.39/0.59 (define @t12 () (@var "W" tptp.mworld)) % 0.39/0.59 (define @t13 () (@var "A" (-> tptp.mworld Bool))) % 0.39/0.59 (define @t14 () (_ @t13 @t12)) % 0.39/0.59 (define @t15 () (lambda (@list @t13 @t12) (not @t14))) % 0.39/0.59 (define @t16 () (@var "B" (-> tptp.mworld Bool))) % 0.39/0.59 (define @t17 () (_ @t16 @t12)) % 0.39/0.59 (define @t18 () (@list @t13 @t16 @t12)) % 0.39/0.59 (define @t19 () (lambda @t18 (and @t14 @t17))) % 0.39/0.59 (define @t20 () (lambda @t18 (or @t14 @t17))) % 0.39/0.59 (define @t21 () (lambda @t18 (=> @t14 @t17))) % 0.39/0.59 (define @t22 () (lambda @t18 (= @t14 @t17))) % 0.39/0.59 (define @t23 () (@var "V" tptp.mworld)) % 0.39/0.59 (define @t24 () (_ @t10 @t23)) % 0.39/0.59 (define @t25 () (@var "R" tptp.mindex)) % 0.39/0.59 (define @t26 () (_ (_ (_ tptp.mrel @t25) @t12) @t23)) % 0.39/0.59 (define @t27 () (@list @t23)) % 0.39/0.59 (define @t28 () (forall @t27 (=> @t26 @t24))) % 0.39/0.59 (define @t29 () (@list @t25 @t10 @t12)) % 0.39/0.59 (define @t30 () (lambda @t29 @t28)) % 0.39/0.59 (define @t31 () (and @t26 @t24)) % 0.39/0.59 (define @t32 () (exists @t27 @t31)) % 0.39/0.59 (define @t33 () (lambda @t29 @t32)) % 0.39/0.59 (define @t34 () (tptp.acid @t23)) % 0.39/0.59 (define @t35 () (not @t34)) % 0.39/0.59 (define @t36 () (forall @t27 (or (not (tptp.mrel |tptp.'#make_c'| tptp.mactual @t23)) @t35))) % 0.39/0.59 (define @t37 () (not (tptp.mrel |tptp.'#make_c'| @t12 @t23))) % 0.39/0.60 (define @t38 () (forall @t27 (or @t37 @t35))) % 0.39/0.60 (define @t39 () (@list @t12)) % 0.39/0.60 (define @t40 () (lambda @t39 (not @t38))) % 0.39/0.60 (define @t41 () (_ @t40 tptp.mactual)) % 0.39/0.60 (define @t42 () (_ @t10 @t23)) % 0.39/0.60 (define @t43 () (not @t42)) % 0.39/0.60 (define @t44 () (@list @t10 @t12)) % 0.39/0.60 (define @t45 () (lambda @t44 (not (forall @t27 (or @t37 @t43))))) % 0.39/0.60 (define @t46 () (tptp.mrel @t25 @t12 @t23)) % 0.39/0.60 (define @t47 () (not @t46)) % 0.39/0.60 (define @t48 () (lambda @t29 (not (forall @t27 (or @t47 @t43))))) % 0.39/0.60 (define @t49 () (not @t24)) % 0.39/0.60 (define @t50 () (not @t26)) % 0.39/0.60 (define @t51 () (or @t50 @t49)) % 0.39/0.60 (define @t52 () (forall @t27 (not @t31))) % 0.39/0.60 (define @t53 () (not @t52)) % 0.39/0.60 (define @t54 () (@var "BOUND_VARIABLE_7714" tptp.mworld)) % 0.39/0.60 (define @t55 () (not (tptp.acid @t54))) % 0.39/0.60 (define @t56 () (not (tptp.mrel |tptp.'#pour_b'| @t23 @t54))) % 0.39/0.60 (define @t57 () (not (tptp.mrel |tptp.'#pour_a'| tptp.mactual @t23))) % 0.39/0.60 (define @t58 () (@list @t23 @t54)) % 0.39/0.60 (define @t59 () (forall @t58 (or @t57 @t56 @t55))) % 0.39/0.60 (define @t60 () (not (tptp.mrel |tptp.'#pour_a'| @t12 @t23))) % 0.39/0.60 (define @t61 () (or @t60 @t56 @t55)) % 0.39/0.60 (define @t62 () (forall @t58 @t61)) % 0.39/0.60 (define @t63 () (lambda @t39 (=> @t62 @t38))) % 0.39/0.60 (define @t64 () (_ @t63 tptp.mactual)) % 0.39/0.60 (define @t65 () (lambda @t39 @t38)) % 0.39/0.60 (define @t66 () (_ @t65 @t12)) % 0.39/0.60 (define @t67 () (=> @t62 @t66)) % 0.39/0.60 (define @t68 () (lambda @t39 @t67)) % 0.39/0.60 (define @t69 () (@list @t16 @t12)) % 0.39/0.60 (define @t70 () (_ tptp.acid @t23)) % 0.39/0.60 (define @t71 () (not @t70)) % 0.39/0.60 (define @t72 () (or @t37 @t71)) % 0.39/0.60 (define @t73 () (lambda @t39 (not (_ tptp.acid @t12)))) % 0.39/0.60 (define @t74 () (_ @t73 @t23)) % 0.39/0.60 (define @t75 () (or @t37 @t74)) % 0.39/0.60 (define @t76 () (forall @t27 @t75)) % 0.39/0.60 (define @t77 () (lambda @t39 @t76)) % 0.39/0.60 (define @t78 () (lambda @t44 (forall @t27 (or @t37 @t42)))) % 0.39/0.60 (define @t79 () (_ @t15 tptp.acid)) % 0.39/0.60 (define @t80 () (lambda @t29 (forall @t27 (or @t47 @t42)))) % 0.39/0.60 (define @t81 () (lambda @t39 @t62)) % 0.39/0.60 (define @t82 () (_ @t81 @t12)) % 0.39/0.60 (define @t83 () (=> @t82 @t17)) % 0.39/0.60 (define @t84 () (lambda @t69 @t83)) % 0.39/0.60 (define @t85 () (or @t56 @t55)) % 0.39/0.60 (define @t86 () (or @t60 @t85)) % 0.39/0.60 (define @t87 () (forall @t58 @t86)) % 0.39/0.60 (define @t88 () (@list @t54)) % 0.39/0.60 (define @t89 () (forall @t88 @t86)) % 0.39/0.60 (define @t90 () (forall @t88 @t85)) % 0.39/0.60 (define @t91 () (@var "BOUND_VARIABLE_7697" tptp.mworld)) % 0.39/0.60 (define @t92 () (@list @t91)) % 0.39/0.60 (define @t93 () (or @t60 @t90)) % 0.39/0.60 (define @t94 () (not (tptp.acid @t91))) % 0.39/0.60 (define @t95 () (@list @t91)) % 0.39/0.60 (define @t96 () (forall @t95 (or (not (tptp.mrel |tptp.'#pour_b'| @t23 @t91)) @t94))) % 0.39/0.60 (define @t97 () (not (tptp.mrel |tptp.'#pour_b'| @t12 @t23))) % 0.39/0.60 (define @t98 () (forall @t27 (or @t97 @t35))) % 0.39/0.60 (define @t99 () (@list @t23)) % 0.39/0.60 (define @t100 () (lambda @t39 @t98)) % 0.39/0.60 (define @t101 () (or @t60 (_ @t100 @t23))) % 0.39/0.60 (define @t102 () (forall @t27 @t101)) % 0.39/0.60 (define @t103 () (lambda @t39 @t102)) % 0.39/0.60 (define @t104 () (lambda @t44 (forall @t27 (or @t60 @t42)))) % 0.39/0.60 (define @t105 () (or @t97 @t71)) % 0.39/0.60 (define @t106 () (or @t97 @t74)) % 0.39/0.60 (define @t107 () (forall @t27 @t106)) % 0.39/0.60 (define @t108 () (lambda @t39 @t107)) % 0.39/0.60 (define @t109 () (lambda @t44 (forall @t27 (or @t97 @t42)))) % 0.39/0.60 (define @t110 () (or @t50 @t24)) % 0.39/0.60 (define @t111 () (not @t59)) % 0.39/0.60 (define @t112 () (@list true)) % 0.39/0.60 (define @t113 () (@quantifiers_skolemize @t59 0)) % 0.39/0.60 (define @t114 () (tptp.mrel |tptp.'#pour_a'| tptp.mactual @t113)) % 0.39/0.60 (define @t115 () (@quantifiers_skolemize @t59 1)) % 0.39/0.60 (define @t116 () (not @t114)) % 0.39/0.60 (define @t117 () (or @t116 (not (tptp.mrel |tptp.'#pour_b'| @t113 @t115)) (not (tptp.acid @t115)))) % 0.39/0.60 (define @t118 () (@var "BOUND_VARIABLE_8099" tptp.mworld)) % 0.39/0.60 (define @t119 () (@var "BOUND_VARIABLE_8100" tptp.mworld)) % 0.39/0.60 (define @t120 () (@list @t118 @t119)) % 0.39/0.60 (define @t121 () (@var "BOUND_VARIABLE_7975" tptp.mworld)) % 0.39/0.60 (define @t122 () (not (tptp.acid @t121))) % 0.39/0.60 (define @t123 () (not (tptp.mrel |tptp.'#pour_b'| @t23 @t121))) % 0.39/0.60 (define @t124 () (@list @t23 @t121)) % 0.39/0.60 (define @t125 () (forall @t124 (or @t57 @t123 @t122))) % 0.39/0.60 (define @t126 () (not @t125)) % 0.39/0.60 (define @t127 () (forall @t27 (or @t57 @t34))) % 0.39/0.60 (define @t128 () (not @t127)) % 0.39/0.60 (define @t129 () (or @t60 @t123 @t122)) % 0.39/0.60 (define @t130 () (not (forall @t124 @t129))) % 0.39/0.60 (define @t131 () (not (forall @t27 (or @t60 @t34)))) % 0.39/0.60 (define @t132 () (lambda @t39 (and @t131 @t130))) % 0.39/0.60 (define @t133 () (_ @t132 tptp.mactual)) % 0.39/0.60 (define @t134 () (lambda @t39 @t130)) % 0.39/0.60 (define @t135 () (_ @t134 @t12)) % 0.39/0.60 (define @t136 () (and @t131 @t135)) % 0.39/0.60 (define @t137 () (lambda @t39 @t136)) % 0.39/0.60 (define @t138 () (or @t123 @t122)) % 0.39/0.60 (define @t139 () (or @t60 @t138)) % 0.39/0.60 (define @t140 () (forall @t124 @t139)) % 0.39/0.60 (define @t141 () (@list @t121)) % 0.39/0.60 (define @t142 () (forall @t141 @t139)) % 0.39/0.60 (define @t143 () (forall @t141 @t138)) % 0.39/0.60 (define @t144 () (@var "BOUND_VARIABLE_7955" tptp.mworld)) % 0.39/0.60 (define @t145 () (@list @t144)) % 0.39/0.60 (define @t146 () (or @t60 @t143)) % 0.39/0.60 (define @t147 () (not (tptp.acid @t144))) % 0.39/0.60 (define @t148 () (@list @t144)) % 0.39/0.60 (define @t149 () (forall @t148 (or (not (tptp.mrel |tptp.'#pour_b'| @t23 @t144)) @t147))) % 0.39/0.60 (define @t150 () (not @t98)) % 0.39/0.60 (define @t151 () (lambda @t39 @t150)) % 0.39/0.60 (define @t152 () (not (_ @t151 @t23))) % 0.39/0.60 (define @t153 () (or @t60 @t152)) % 0.39/0.60 (define @t154 () (forall @t27 @t153)) % 0.39/0.60 (define @t155 () (not @t154)) % 0.39/0.60 (define @t156 () (lambda @t39 @t155)) % 0.39/0.60 (define @t157 () (lambda @t44 (not (forall @t27 (or @t60 @t43))))) % 0.39/0.60 (define @t158 () (lambda @t44 (not (forall @t27 (or @t97 @t43))))) % 0.39/0.60 (define @t159 () (_ @t48 |tptp.'#pour_b'|)) % 0.39/0.60 (define @t160 () (_ @t48 |tptp.'#pour_a'|)) % 0.39/0.60 (define @t161 () (lambda @t39 @t131)) % 0.39/0.60 (define @t162 () (_ @t161 @t12)) % 0.39/0.60 (define @t163 () (and @t162 @t17)) % 0.39/0.60 (define @t164 () (lambda @t69 @t163)) % 0.39/0.60 (define @t165 () (or @t60 @t70)) % 0.39/0.60 (define @t166 () (not @t74)) % 0.39/0.60 (define @t167 () (or @t60 @t166)) % 0.39/0.60 (define @t168 () (forall @t27 @t167)) % 0.39/0.60 (define @t169 () (not @t168)) % 0.39/0.60 (define @t170 () (lambda @t39 @t169)) % 0.39/0.60 (define @t171 () (@list @t113)) % 0.39/0.60 (define @t172 () (lambda @t39 (forall @t27 (or @t60 @t35)))) % 0.39/0.60 (define @t173 () (_ @t172 tptp.mactual)) % 0.39/0.60 (define @t174 () (or @t60 @t71)) % 0.39/0.60 (define @t175 () (or @t60 @t74)) % 0.39/0.60 (define @t176 () (forall @t27 @t175)) % 0.39/0.60 (define @t177 () (lambda @t39 @t176)) % 0.39/0.60 (define @t178 () (tptp.acid @t113)) % 0.39/0.60 (define @t179 () (not @t178)) % 0.39/0.60 (define @t180 () (or @t116 @t179)) % 0.39/0.60 (define @t181 () (or @t116 @t178)) % 0.39/0.60 (assume @p1 (_ tptp.mlocal (_ (_ tptp.mimplies (_ @t4 (_ @t3 tptp.acid))) @t2))) % 0.39/0.60 (assume @p2 (_ tptp.mlocal (_ (_ tptp.mimplies (_ @t4 (_ @t3 @t5))) @t6))) % 0.39/0.60 (assume @p3 (_ tptp.mlocal (_ (_ tptp.mimplies (_ @t3 (_ @t4 tptp.acid))) @t2))) % 0.39/0.60 (assume @p4 (_ tptp.mlocal (_ (_ tptp.mimplies (_ @t3 @t7)) @t6))) % 0.39/0.60 (assume @p5 (_ tptp.mlocal @t7)) % 0.39/0.60 (assume @p6 (_ tptp.mlocal (_ (_ tptp.mdia |tptp.'#make_c'|) tptp.acid))) % 0.39/0.60 (assume @p7 @t9) % 0.39/0.60 (assume @p8 true) % 0.39/0.60 (step @p9 (= tptp.mlocal @t11) :rule refl :args (@t11)) % 0.39/0.60 (step @p10 (= tptp.mnot @t15) :rule refl :args (@t15)) % 0.39/0.60 (step @p11 (= tptp.mand @t19) :rule refl :args (@t19)) % 0.39/0.60 (step @p12 (= tptp.mor @t20) :rule refl :args (@t20)) % 0.39/0.60 (step @p13 (= tptp.mimplies @t21) :rule refl :args (@t21)) % 0.39/0.60 (step @p14 (= tptp.mequiv @t22) :rule refl :args (@t22)) % 0.39/0.60 (step @p15 (= tptp.mbox @t30) :rule refl :args (@t30)) % 0.39/0.60 (step @p16 (= tptp.mdia @t33) :rule refl :args (@t33)) % 0.39/0.60 (step @p17 :rule beta-reduce :args ((= @t41 (not @t36)))) % 0.39/0.60 (step @p18 :rule beta-reduce :args ((= (_ @t11 @t40) @t41))) % 0.39/0.60 (step @p19 :rule trans :premises (@p18 @p17)) % 0.39/0.60 (step @p20 :rule beta-reduce :args ((= (_ @t45 tptp.acid) @t40))) % 0.39/0.60 (step @p21 :rule refl :args (tptp.acid)) % 0.39/0.60 (step @p22 :rule beta-reduce :args ((= (_ @t48 |tptp.'#make_c'|) @t45))) % 0.39/0.60 (step @p23 :rule ho_cong :premises (@p22 @p21)) % 0.39/0.60 (step @p24 :rule trans :premises (@p23 @p20)) % 0.39/0.60 (step @p25 :rule refl :args (@t11)) % 0.39/0.60 (step @p26 :rule ho_cong :premises (@p25 @p24)) % 0.39/0.60 (step @p27 :rule trans :premises (@p26 @p19)) % 0.39/0.60 (step @p28 :rule refl :args (|tptp.'#make_c'|)) % 0.39/0.60 (step @p29 :rule refl :args (@t42)) % 0.39/0.60 (step @p30 :rule refl :args (@t24)) % 0.39/0.60 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t24 @t42))) % 0.39/0.60 (step @p32 :rule symm :premises (@p31)) % 0.39/0.60 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.39/0.60 (step @p34 :rule cong :premises (@p33) :args (@t49)) % 0.39/0.60 (step @p35 :rule refl :args (@t46)) % 0.39/0.60 (step @p36 :rule refl :args (@t26)) % 0.39/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t26 @t46))) % 0.39/0.60 (step @p38 :rule symm :premises (@p37)) % 0.39/0.60 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39) :args (@t50)) % 0.39/0.60 (step @p41 :rule nary_cong :premises (@p40 @p34) :args (@t51)) % 0.39/0.60 (step @p42 :rule cong :premises (@p41) :args ((forall @t27 @t51))) % 0.39/0.60 (step @p43 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43) :args (@t52)) % 0.39/0.60 (step @p45 :rule trans :premises (@p44 @p42)) % 0.39/0.60 (step @p46 :rule cong 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(_ @t160 (_ @t159 tptp.acid))))))) % 0.39/0.60 (step @p250 :rule ho_cong :premises (@p50 @p150)) % 0.39/0.60 (step @p251 :rule ho_cong :premises (@p250 @p21)) % 0.39/0.60 (step @p252 :rule ho_cong :premises (@p50 @p153)) % 0.39/0.60 (step @p253 :rule ho_cong :premises (@p252 @p251)) % 0.39/0.60 (step @p254 :rule ho_cong :premises (@p252 @p140)) % 0.39/0.60 (step @p255 :rule ho_cong :premises (@p11 @p254)) % 0.39/0.60 (step @p256 :rule ho_cong :premises (@p255 @p253)) % 0.39/0.60 (step @p257 :rule ho_cong :premises (@p9 @p256)) % 0.39/0.60 (step @p258 :rule cong :premises (@p257) :args (@t9)) % 0.39/0.60 (step @p259 :rule trans :premises (@p258 @p249)) % 0.39/0.60 (step @p260 :rule eq_resolve :premises (@p7 @p259)) % 0.39/0.60 (step @p261 :rule not_and :premises (@p260)) % 0.39/0.60 (step @p262 :rule eq_resolve :premises (@p261 @p179)) % 0.39/0.60 (step @p263 :rule chain_m_resolution :premises (@p262 @p176) :args (@t127 @t112 (@list @t125))) % 0.39/0.60 (step @p264 :rule instantiate :premises (@p263) :args (@t171)) % 0.39/0.60 (step @p265 :rule beta-reduce :args ((= @t173 (forall @t27 (or @t57 @t35))))) % 0.39/0.60 (step @p266 :rule beta-reduce :args ((= (_ @t11 @t172) @t173))) % 0.39/0.60 (step @p267 :rule trans :premises (@p266 @p265)) % 0.39/0.60 (step @p268 :rule nary_cong :premises (@p96 @p70) :args (@t174)) % 0.39/0.60 (step @p269 :rule cong :premises (@p268) :args ((forall @t27 @t174))) % 0.39/0.60 (step @p270 :rule nary_cong :premises (@p110 @p74) :args (@t175)) % 0.39/0.60 (step @p271 :rule cong :premises (@p270) :args (@t176)) % 0.39/0.60 (step @p272 :rule trans :premises (@p271 @p269)) % 0.39/0.60 (step @p273 :rule cong :premises (@p272) :args (@t177)) % 0.39/0.60 (step @p274 :rule beta-reduce :args ((= (_ @t104 @t73) @t177))) % 0.39/0.60 (step @p275 :rule trans :premises (@p274 @p273)) % 0.39/0.60 (step @p276 :rule ho_cong :premises (@p130 @p82)) % 0.39/0.60 (step @p277 :rule trans :premises (@p276 @p275)) % 0.39/0.60 (step @p278 :rule ho_cong :premises (@p25 @p277)) % 0.39/0.60 (step @p279 :rule trans :premises (@p278 @p267)) % 0.39/0.60 (step @p280 :rule ho_cong :premises (@p154 @p140)) % 0.39/0.60 (step @p281 :rule ho_cong :premises (@p9 @p280)) % 0.39/0.60 (step @p282 :rule trans :premises (@p281 @p279)) % 0.39/0.60 (step @p283 :rule eq_resolve :premises (@p5 @p282)) % 0.39/0.60 (step @p284 :rule instantiate :premises (@p283) :args (@t171)) % 0.39/0.60 (step @p285 :rule cnf_or_pos :args (@t180)) % 0.39/0.60 (step @p286 :rule reordering :premises (@p285) :args ((or @t116 @t179 (not @t180)))) % 0.39/0.60 (step @p287 :rule chain_m_resolution :premises (@p286 @p171 @p284) :args (@t179 (@list false false) (@list @t114 @t180))) % 0.39/0.60 (step @p288 :rule cnf_or_pos :args (@t181)) % 0.39/0.60 (step @p289 :rule reordering :premises (@p288) :args ((or @t116 @t178 (not @t181)))) % 0.39/0.60 (step @p290 false :rule chain_m_resolution :premises (@p289 @p287 @p264 @p171) :args (false (@list true false false) (@list @t178 @t181 @t114))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------