%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO888^10 : 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 : n023.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 09:13:42 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO888^10 : TPTP v9.2.1. Released v8.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:09:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-sort tptp.mworld 0) % 0.38/0.61 (declare-const tptp.mactual tptp.mworld) % 0.38/0.61 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.38/0.61 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.38/0.61 (declare-const tptp.g (-> $$unsorted tptp.mworld Bool)) % 0.38/0.61 (declare-const tptp.f (-> $$unsorted tptp.mworld Bool)) % 0.38/0.61 (declare-const tptp.h (-> $$unsorted tptp.mworld Bool)) % 0.38/0.61 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.38/0.61 (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)))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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))))))) % 0.38/0.61 (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)))))))) % 0.38/0.61 (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)))))))) % 0.38/0.61 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.38/0.61 (define @t1 () (@var "W" tptp.mworld)) % 0.38/0.61 (define @t2 () (_ tptp.mrel @t1)) % 0.38/0.61 (define @t3 () (_ @t2 @t1)) % 0.38/0.61 (define @t4 () (@list @t1)) % 0.38/0.61 (define @t5 () (forall @t4 @t3)) % 0.38/0.61 (define @t6 () (@var "U" tptp.mworld)) % 0.38/0.61 (define @t7 () (@var "V" tptp.mworld)) % 0.38/0.61 (define @t8 () (_ @t2 @t7)) % 0.38/0.61 (define @t9 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t10 () (_ (_ tptp.eiw_di @t9) @t1)) % 0.38/0.61 (define @t11 () (@list @t9)) % 0.38/0.61 (define @t12 () (@var "__flatten_var_0" tptp.mworld)) % 0.38/0.61 (define @t13 () (_ tptp.h @t9)) % 0.38/0.61 (define @t14 () (_ tptp.mbox @t13)) % 0.38/0.61 (define @t15 () (_ tptp.f @t9)) % 0.38/0.61 (define @t16 () (_ tptp.mimplies @t15)) % 0.38/0.61 (define @t17 () (@list @t9 @t12)) % 0.38/0.61 (define @t18 () (lambda @t17 (_ (_ @t16 @t14) @t12))) % 0.38/0.61 (define @t19 () (_ tptp.g @t9)) % 0.38/0.61 (define @t20 () (lambda @t17 (_ (_ (_ tptp.mimplies @t19) @t14) @t12))) % 0.38/0.61 (define @t21 () (lambda @t17 (_ (_ @t16 (_ tptp.mbox @t19)) @t12))) % 0.38/0.61 (define @t22 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mforall_di @t21)) (_ tptp.mforall_di @t20))) (_ tptp.mforall_di @t18))))) % 0.38/0.61 (define @t23 () (@var "Phi" (-> tptp.mworld Bool))) % 0.38/0.61 (define @t24 () (lambda (@list @t23) (_ @t23 tptp.mactual))) % 0.38/0.61 (define @t25 () (@var "A" (-> tptp.mworld Bool))) % 0.38/0.61 (define @t26 () (_ @t25 @t1)) % 0.38/0.61 (define @t27 () (lambda (@list @t25 @t1) (not @t26))) % 0.38/0.61 (define @t28 () (@var "B" (-> tptp.mworld Bool))) % 0.38/0.61 (define @t29 () (_ @t28 @t1)) % 0.38/0.61 (define @t30 () (@list @t25 @t28 @t1)) % 0.38/0.61 (define @t31 () (lambda @t30 (and @t26 @t29))) % 0.38/0.61 (define @t32 () (lambda @t30 (or @t26 @t29))) % 0.38/0.61 (define @t33 () (lambda @t30 (=> @t26 @t29))) % 0.38/0.61 (define @t34 () (lambda @t30 (= @t26 @t29))) % 0.38/0.61 (define @t35 () (_ @t23 @t7)) % 0.38/0.61 (define @t36 () (@list @t7)) % 0.38/0.61 (define @t37 () (forall @t36 (=> @t8 @t35))) % 0.38/0.61 (define @t38 () (@list @t23 @t1)) % 0.38/0.61 (define @t39 () (lambda @t38 @t37)) % 0.38/0.61 (define @t40 () (lambda @t38 (exists @t36 (and @t8 @t35)))) % 0.38/0.61 (define @t41 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.38/0.61 (define @t42 () (_ (_ @t41 @t9) @t1)) % 0.38/0.61 (define @t43 () (forall @t11 (=> @t10 @t42))) % 0.38/0.61 (define @t44 () (@list @t41 @t1)) % 0.38/0.61 (define @t45 () (lambda @t44 @t43)) % 0.38/0.61 (define @t46 () (lambda @t44 (exists @t11 (and @t10 @t42)))) % 0.38/0.61 (define @t47 () (tptp.mrel @t1 @t1)) % 0.38/0.61 (define @t48 () (@var "BOUND_VARIABLE_7823" tptp.mworld)) % 0.38/0.61 (define @t49 () (tptp.h @t9 @t48)) % 0.38/0.61 (define @t50 () (not (tptp.f @t9 tptp.mactual))) % 0.38/0.61 (define @t51 () (not (tptp.eiw_di @t9 tptp.mactual))) % 0.38/0.61 (define @t52 () (@list @t9 @t48)) % 0.38/0.61 (define @t53 () (forall @t52 (or @t51 @t50 (not (tptp.mrel tptp.mactual @t48)) @t49))) % 0.38/0.61 (define @t54 () (@var "BOUND_VARIABLE_7776" tptp.mworld)) % 0.38/0.61 (define @t55 () (tptp.h @t9 @t54)) % 0.38/0.61 (define @t56 () (@list @t9 @t54)) % 0.38/0.61 (define @t57 () (@var "BOUND_VARIABLE_7714" tptp.mworld)) % 0.38/0.61 (define @t58 () (tptp.g @t9 @t57)) % 0.38/0.61 (define @t59 () (@list @t9 @t57)) % 0.38/0.61 (define @t60 () (not (tptp.mrel @t1 @t48))) % 0.38/0.61 (define @t61 () (tptp.f @t9 @t1)) % 0.38/0.61 (define @t62 () (not @t61)) % 0.38/0.61 (define @t63 () (tptp.eiw_di @t9 @t1)) % 0.38/0.61 (define @t64 () (not @t63)) % 0.38/0.61 (define @t65 () (or @t64 @t62 @t60 @t49)) % 0.38/0.61 (define @t66 () (forall @t52 @t65)) % 0.38/0.61 (define @t67 () (not (tptp.mrel @t1 @t54))) % 0.38/0.61 (define @t68 () (tptp.g @t9 @t1)) % 0.38/0.61 (define @t69 () (not @t68)) % 0.38/0.61 (define @t70 () (or @t64 @t69 @t67 @t55)) % 0.38/0.61 (define @t71 () (forall @t56 @t70)) % 0.38/0.61 (define @t72 () (not (tptp.mrel @t1 @t57))) % 0.38/0.61 (define @t73 () (or @t64 @t62 @t72 @t58)) % 0.38/0.61 (define @t74 () (forall @t59 @t73)) % 0.38/0.61 (define @t75 () (and @t74 @t71)) % 0.38/0.61 (define @t76 () (lambda @t4 (=> @t75 @t66))) % 0.38/0.61 (define @t77 () (_ @t76 tptp.mactual)) % 0.38/0.61 (define @t78 () (lambda @t4 @t66)) % 0.38/0.61 (define @t79 () (_ @t78 @t1)) % 0.38/0.61 (define @t80 () (=> @t75 @t79)) % 0.38/0.61 (define @t81 () (lambda @t4 @t80)) % 0.38/0.61 (define @t82 () (@list @t28 @t1)) % 0.38/0.61 (define @t83 () (or @t60 @t49)) % 0.38/0.61 (define @t84 () (or @t64 @t62 @t83)) % 0.38/0.61 (define @t85 () (forall @t52 @t84)) % 0.38/0.61 (define @t86 () (@list @t48)) % 0.38/0.61 (define @t87 () (forall @t86 @t84)) % 0.38/0.61 (define @t88 () (forall @t86 @t83)) % 0.38/0.61 (define @t89 () (@list @t7)) % 0.38/0.61 (define @t90 () (or @t64 @t62 @t88)) % 0.38/0.61 (define @t91 () (tptp.h @t9 @t7)) % 0.38/0.61 (define @t92 () (tptp.mrel @t1 @t7)) % 0.38/0.61 (define @t93 () (not @t92)) % 0.38/0.61 (define @t94 () (forall @t36 (or @t93 @t91))) % 0.38/0.61 (define @t95 () (_ @t15 @t1)) % 0.38/0.61 (define @t96 () (not @t95)) % 0.38/0.61 (define @t97 () (or @t64 @t96 @t94)) % 0.38/0.61 (define @t98 () (=> @t95 @t94)) % 0.38/0.61 (define @t99 () (or @t64 @t98)) % 0.38/0.61 (define @t100 () (not (tptp.mrel @t12 @t7))) % 0.38/0.61 (define @t101 () (forall @t36 (or @t100 @t91))) % 0.38/0.61 (define @t102 () (_ @t15 @t12)) % 0.38/0.61 (define @t103 () (=> @t102 @t101)) % 0.38/0.61 (define @t104 () (lambda @t17 @t103)) % 0.38/0.61 (define @t105 () (_ @t104 @t9 @t1)) % 0.38/0.61 (define @t106 () (or @t64 @t105)) % 0.38/0.61 (define @t107 () (forall @t11 @t106)) % 0.38/0.61 (define @t108 () (lambda @t4 @t107)) % 0.38/0.61 (define @t109 () (_ @t41 @t9 @t1)) % 0.38/0.61 (define @t110 () (lambda @t44 (forall @t11 (or @t64 @t109)))) % 0.38/0.61 (define @t111 () (lambda @t4 @t94)) % 0.38/0.61 (define @t112 () (_ @t111 @t1)) % 0.38/0.61 (define @t113 () (=> @t95 @t112)) % 0.38/0.61 (define @t114 () (lambda @t4 @t113)) % 0.38/0.61 (define @t115 () (lambda @t82 (=> @t95 @t29))) % 0.38/0.61 (define @t116 () (_ @t13 @t7)) % 0.38/0.61 (define @t117 () (or @t93 @t116)) % 0.38/0.61 (define @t118 () (_ @t13 @t7)) % 0.38/0.61 (define @t119 () (or @t93 @t118)) % 0.38/0.61 (define @t120 () (forall @t36 @t119)) % 0.38/0.61 (define @t121 () (lambda @t4 @t120)) % 0.38/0.61 (define @t122 () (_ @t23 @t7)) % 0.38/0.61 (define @t123 () (lambda @t38 (forall @t36 (or @t93 @t122)))) % 0.38/0.61 (define @t124 () (_ @t123 @t13)) % 0.38/0.61 (define @t125 () (_ @t33 @t15)) % 0.38/0.61 (define @t126 () (lambda @t17 (_ (_ @t125 @t124) @t12))) % 0.38/0.61 (define @t127 () (lambda @t4 @t75)) % 0.38/0.61 (define @t128 () (_ @t127 @t1)) % 0.38/0.61 (define @t129 () (=> @t128 @t29)) % 0.38/0.61 (define @t130 () (lambda @t82 @t129)) % 0.38/0.61 (define @t131 () (lambda @t4 @t71)) % 0.38/0.61 (define @t132 () (_ @t131 @t1)) % 0.38/0.61 (define @t133 () (and @t74 @t132)) % 0.38/0.61 (define @t134 () (lambda @t4 @t133)) % 0.38/0.61 (define @t135 () (or @t67 @t55)) % 0.38/0.61 (define @t136 () (or @t64 @t69 @t135)) % 0.38/0.61 (define @t137 () (forall @t56 @t136)) % 0.38/0.61 (define @t138 () (@list @t54)) % 0.38/0.61 (define @t139 () (forall @t138 @t136)) % 0.38/0.61 (define @t140 () (forall @t138 @t135)) % 0.38/0.61 (define @t141 () (or @t64 @t69 @t140)) % 0.38/0.61 (define @t142 () (_ @t19 @t1)) % 0.38/0.61 (define @t143 () (not @t142)) % 0.38/0.61 (define @t144 () (or @t64 @t143 @t94)) % 0.38/0.61 (define @t145 () (=> @t142 @t94)) % 0.38/0.61 (define @t146 () (or @t64 @t145)) % 0.38/0.61 (define @t147 () (=> (_ @t19 @t12) @t101)) % 0.38/0.61 (define @t148 () (lambda @t17 @t147)) % 0.38/0.61 (define @t149 () (_ @t148 @t9 @t1)) % 0.38/0.61 (define @t150 () (or @t64 @t149)) % 0.38/0.61 (define @t151 () (forall @t11 @t150)) % 0.38/0.61 (define @t152 () (lambda @t4 @t151)) % 0.38/0.61 (define @t153 () (=> @t142 @t112)) % 0.38/0.61 (define @t154 () (lambda @t4 @t153)) % 0.38/0.61 (define @t155 () (lambda @t82 (=> @t142 @t29))) % 0.38/0.61 (define @t156 () (_ @t33 @t19)) % 0.38/0.61 (define @t157 () (lambda @t17 (_ (_ @t156 @t124) @t12))) % 0.38/0.61 (define @t158 () (lambda @t4 @t74)) % 0.38/0.61 (define @t159 () (_ @t158 @t1)) % 0.38/0.61 (define @t160 () (and @t159 @t29)) % 0.38/0.61 (define @t161 () (lambda @t82 @t160)) % 0.38/0.61 (define @t162 () (or @t72 @t58)) % 0.38/0.61 (define @t163 () (or @t64 @t62 @t162)) % 0.38/0.61 (define @t164 () (forall @t59 @t163)) % 0.38/0.61 (define @t165 () (@list @t57)) % 0.38/0.61 (define @t166 () (forall @t165 @t163)) % 0.38/0.61 (define @t167 () (forall @t165 @t162)) % 0.38/0.61 (define @t168 () (or @t64 @t62 @t167)) % 0.38/0.61 (define @t169 () (tptp.g @t9 @t7)) % 0.38/0.61 (define @t170 () (forall @t36 (or @t93 @t169))) % 0.38/0.61 (define @t171 () (or @t64 @t96 @t170)) % 0.38/0.61 (define @t172 () (=> @t95 @t170)) % 0.38/0.61 (define @t173 () (or @t64 @t172)) % 0.38/0.61 (define @t174 () (=> @t102 (forall @t36 (or @t100 @t169)))) % 0.38/0.61 (define @t175 () (lambda @t17 @t174)) % 0.38/0.61 (define @t176 () (_ @t175 @t9 @t1)) % 0.38/0.61 (define @t177 () (or @t64 @t176)) % 0.38/0.61 (define @t178 () (forall @t11 @t177)) % 0.38/0.61 (define @t179 () (lambda @t4 @t178)) % 0.38/0.61 (define @t180 () (lambda @t4 @t170)) % 0.38/0.61 (define @t181 () (_ @t180 @t1)) % 0.38/0.61 (define @t182 () (=> @t95 @t181)) % 0.38/0.61 (define @t183 () (lambda @t4 @t182)) % 0.38/0.61 (define @t184 () (_ @t19 @t7)) % 0.38/0.61 (define @t185 () (or @t93 @t184)) % 0.38/0.61 (define @t186 () (_ @t19 @t7)) % 0.38/0.61 (define @t187 () (or @t93 @t186)) % 0.38/0.61 (define @t188 () (forall @t36 @t187)) % 0.38/0.61 (define @t189 () (lambda @t4 @t188)) % 0.38/0.61 (define @t190 () (_ @t123 @t19)) % 0.38/0.61 (define @t191 () (lambda @t17 (_ (_ @t125 @t190) @t12))) % 0.38/0.61 (define @t192 () (not @t8)) % 0.38/0.61 (define @t193 () (or @t192 @t35)) % 0.38/0.61 (define @t194 () (not @t10)) % 0.38/0.61 (define @t195 () (or @t194 @t42)) % 0.38/0.61 (define @t196 () (@quantifiers_skolemize @t53 0)) % 0.38/0.61 (define @t197 () (@quantifiers_skolemize @t53 1)) % 0.38/0.61 (define @t198 () (tptp.h @t196 @t197)) % 0.38/0.61 (define @t199 () (tptp.mrel tptp.mactual @t197)) % 0.38/0.61 (define @t200 () (not @t199)) % 0.38/0.61 (define @t201 () (tptp.f @t196 tptp.mactual)) % 0.38/0.61 (define @t202 () (not @t201)) % 0.38/0.61 (define @t203 () (tptp.eiw_di @t196 tptp.mactual)) % 0.38/0.61 (define @t204 () (not @t203)) % 0.38/0.61 (define @t205 () (or @t204 @t202 @t200 @t198)) % 0.38/0.61 (define @t206 () (@list true)) % 0.38/0.61 (define @t207 () (@list @t205)) % 0.38/0.61 (define @t208 () (tptp.g @t196 tptp.mactual)) % 0.38/0.61 (define @t209 () (not @t208)) % 0.38/0.61 (define @t210 () (or @t204 @t209 @t200 @t198)) % 0.38/0.61 (define @t211 () (@list false false true false)) % 0.38/0.61 (define @t212 () (tptp.mrel tptp.mactual tptp.mactual)) % 0.38/0.61 (define @t213 () (not @t212)) % 0.38/0.61 (define @t214 () (or @t204 @t202 @t213 @t208)) % 0.38/0.61 (define @t215 () (forall @t4 @t47)) % 0.38/0.61 (assume @p1 @t5) % 0.38/0.61 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.mrel @t7) @t6)) (_ @t2 @t6)))) % 0.38/0.61 (assume @p3 (forall @t4 (exists @t11 @t10))) % 0.38/0.61 (assume @p4 @t22) % 0.38/0.61 (assume @p5 true) % 0.38/0.61 (step @p6 (= tptp.mlocal @t24) :rule refl :args (@t24)) % 0.38/0.61 (step @p7 (= tptp.mnot @t27) :rule refl :args (@t27)) % 0.38/0.61 (step @p8 (= tptp.mand @t31) :rule refl :args (@t31)) % 0.38/0.61 (step @p9 (= tptp.mor @t32) :rule refl :args (@t32)) % 0.38/0.61 (step @p10 (= tptp.mimplies @t33) :rule refl :args (@t33)) % 0.38/0.61 (step @p11 (= tptp.mequiv @t34) :rule refl :args (@t34)) % 0.38/0.61 (step @p12 (= tptp.mbox @t39) :rule refl :args (@t39)) % 0.38/0.61 (step @p13 (= tptp.mdia @t40) :rule refl :args (@t40)) % 0.38/0.61 (step @p14 (= tptp.mforall_di @t45) :rule refl :args (@t45)) % 0.38/0.61 (step @p15 (= tptp.mexists_di @t46) :rule refl :args (@t46)) % 0.38/0.61 (step @p16 :rule refl :args (@t47)) % 0.38/0.61 (step @p17 :rule refl :args (@t3)) % 0.38/0.61 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t3 @t47))) % 0.38/0.61 (step @p19 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(@p210 @p207)) % 0.38/0.61 (step @p212 :rule cong :premises (@p211) :args (@t189)) % 0.38/0.61 (step @p213 :rule beta-reduce :args ((= @t190 @t189))) % 0.38/0.61 (step @p214 :rule trans :premises (@p213 @p212)) % 0.38/0.61 (step @p215 :rule ho_cong :premises (@p93 @p214)) % 0.38/0.61 (step @p216 :rule trans :premises (@p215 @p200)) % 0.38/0.61 (step @p217 :rule ho_cong :premises (@p216 @p70)) % 0.38/0.61 (step @p218 :rule trans :premises (@p217 @p195)) % 0.38/0.61 (step @p219 :rule cong :premises (@p218) :args (@t191)) % 0.38/0.61 (step @p220 :rule ho_cong :premises (@p99 @p219)) % 0.38/0.61 (step @p221 :rule trans :premises (@p220 @p194)) % 0.38/0.61 (step @p222 :rule refl :args (@t31)) % 0.38/0.61 (step @p223 :rule ho_cong :premises (@p222 @p221)) % 0.38/0.61 (step @p224 :rule trans :premises (@p223 @p166)) % 0.38/0.61 (step @p225 :rule ho_cong :premises (@p224 @p161)) % 0.38/0.61 (step @p226 :rule trans :premises (@p225 @p113)) % 0.38/0.61 (step @p227 :rule refl :args (@t33)) % 0.38/0.61 (step @p228 :rule ho_cong :premises (@p227 @p226)) % 0.38/0.61 (step @p229 :rule trans :premises (@p228 @p107)) % 0.38/0.61 (step @p230 :rule ho_cong :premises (@p229 @p101)) % 0.38/0.61 (step @p231 :rule trans :premises (@p230 @p31)) % 0.38/0.61 (step @p232 :rule refl :args (@t24)) % 0.38/0.61 (step @p233 :rule ho_cong :premises (@p232 @p231)) % 0.38/0.61 (step @p234 :rule trans :premises (@p233 @p25)) % 0.38/0.61 (step @p235 :rule cong :premises (@p234) :args ((not (_ @t24 (_ (_ @t33 (_ (_ @t31 (_ @t110 @t191)) (_ @t110 @t157))) (_ @t110 @t126)))))) % 0.38/0.61 (step @p236 :rule refl :args (@t13)) % 0.38/0.61 (step @p237 :rule refl :args (@t122)) % 0.38/0.61 (step @p238 :rule refl :args (@t35)) % 0.38/0.61 (step @p239 :rule cong :premises (@p238 @p237) :args ((= @t35 @t122))) % 0.38/0.61 (step @p240 :rule symm :premises (@p239)) % 0.38/0.61 (step @p241 :rule eq_resolve :premises (@p238 @p240)) % 0.38/0.61 (step @p242 :rule refl :args (@t92)) % 0.38/0.61 (step @p243 :rule refl :args (@t8)) % 0.38/0.61 (step @p244 :rule cong :premises (@p243 @p242) :args ((= @t8 @t92))) % 0.38/0.61 (step @p245 :rule symm :premises (@p244)) % 0.38/0.61 (step @p246 :rule eq_resolve :premises (@p243 @p245)) % 0.38/0.61 (step @p247 :rule cong :premises (@p246) :args (@t192)) % 0.38/0.61 (step @p248 :rule nary_cong :premises (@p247 @p241) :args (@t193)) % 0.38/0.61 (step @p249 :rule cong :premises (@p248) :args ((forall @t36 @t193))) % 0.38/0.61 (step @p250 :rule bool-impl-elim :args (@t8 @t35)) % 0.38/0.61 (step @p251 :rule cong :premises (@p250) :args (@t37)) % 0.38/0.61 (step @p252 :rule trans :premises (@p251 @p249)) % 0.38/0.61 (step @p253 :rule cong :premises (@p252) :args (@t39)) % 0.38/0.61 (step @p254 :rule trans :premises (@p12 @p253)) % 0.38/0.61 (step @p255 :rule ho_cong :premises (@p254 @p236)) % 0.38/0.61 (step @p256 :rule refl :args (@t15)) % 0.38/0.61 (step @p257 :rule ho_cong :premises (@p10 @p256)) % 0.38/0.61 (step @p258 :rule ho_cong :premises (@p257 @p255)) % 0.38/0.61 (step @p259 :rule ho_cong :premises (@p258 @p70)) % 0.38/0.61 (step @p260 :rule cong :premises (@p259) :args (@t18)) % 0.38/0.61 (step @p261 :rule refl :args (@t109)) % 0.38/0.61 (step @p262 :rule refl :args (@t42)) % 0.38/0.61 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t42 @t109))) % 0.38/0.61 (step @p264 :rule symm :premises (@p263)) % 0.38/0.61 (step @p265 :rule eq_resolve :premises (@p262 @p264)) % 0.38/0.61 (step @p266 :rule refl :args (@t63)) % 0.38/0.61 (step @p267 :rule refl :args (@t10)) % 0.38/0.61 (step @p268 :rule cong :premises (@p267 @p266) :args ((= @t10 @t63))) % 0.38/0.61 (step @p269 :rule symm :premises (@p268)) % 0.38/0.61 (step @p270 :rule eq_resolve :premises (@p267 @p269)) % 0.38/0.61 (step @p271 :rule cong :premises (@p270) :args (@t194)) % 0.38/0.61 (step @p272 :rule nary_cong :premises (@p271 @p265) :args (@t195)) % 0.38/0.61 (step @p273 :rule cong :premises (@p272) :args ((forall @t11 @t195))) % 0.38/0.61 (step @p274 :rule bool-impl-elim :args (@t10 @t42)) % 0.38/0.61 (step @p275 :rule cong :premises (@p274) :args (@t43)) % 0.38/0.61 (step @p276 :rule trans :premises (@p275 @p273)) % 0.38/0.61 (step @p277 :rule cong :premises (@p276) :args (@t45)) % 0.38/0.61 (step @p278 :rule trans :premises (@p14 @p277)) % 0.38/0.61 (step @p279 :rule ho_cong :premises (@p278 @p260)) % 0.38/0.61 (step @p280 :rule refl :args (@t19)) % 0.38/0.61 (step @p281 :rule ho_cong :premises (@p10 @p280)) % 0.38/0.61 (step @p282 :rule ho_cong :premises (@p281 @p255)) % 0.38/0.61 (step @p283 :rule ho_cong :premises (@p282 @p70)) % 0.38/0.61 (step @p284 :rule cong :premises (@p283) :args (@t20)) % 0.38/0.61 (step @p285 :rule ho_cong :premises (@p278 @p284)) % 0.38/0.61 (step @p286 :rule ho_cong :premises (@p254 @p280)) % 0.38/0.61 (step @p287 :rule ho_cong :premises (@p257 @p286)) % 0.38/0.61 (step @p288 :rule ho_cong :premises (@p287 @p70)) % 0.38/0.61 (step @p289 :rule cong :premises (@p288) :args (@t21)) % 0.38/0.61 (step @p290 :rule ho_cong :premises (@p278 @p289)) % 0.38/0.61 (step @p291 :rule ho_cong :premises (@p8 @p290)) % 0.38/0.61 (step @p292 :rule ho_cong :premises (@p291 @p285)) % 0.38/0.61 (step @p293 :rule ho_cong :premises (@p10 @p292)) % 0.38/0.61 (step @p294 :rule ho_cong :premises (@p293 @p279)) % 0.38/0.61 (step @p295 :rule ho_cong :premises (@p6 @p294)) % 0.38/0.61 (step @p296 :rule cong :premises (@p295) :args (@t22)) % 0.38/0.61 (step @p297 :rule trans :premises (@p296 @p235)) % 0.38/0.61 (step @p298 :rule eq_resolve :premises (@p4 @p297)) % 0.38/0.61 (step @p299 :rule not_implies_elim1 :premises (@p298)) % 0.38/0.61 (step @p300 :rule and_elim :premises (@p299) :args (0)) % 0.38/0.61 (step @p301 :rule instantiate :premises (@p300) :args ((@list @t196 tptp.mactual))) % 0.38/0.61 (step @p302 :rule and_elim :premises (@p299) :args (1)) % 0.38/0.61 (step @p303 :rule instantiate :premises (@p302) :args ((@list @t196 @t197))) % 0.38/0.61 (step @p304 :rule not_implies_elim2 :premises (@p298)) % 0.38/0.61 (step @p305 :rule skolemize :premises (@p304)) % 0.38/0.61 (step @p306 :rule cnf_or_neg :args (@t205 3)) % 0.38/0.61 (step @p307 :rule chain_m_resolution :premises (@p306 @p305) :args ((not @t198) @t206 @t207)) % 0.38/0.61 (step @p308 :rule bool-double-not-elim :args (@t199)) % 0.38/0.61 (step @p309 :rule refl :args (@t205)) % 0.38/0.61 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t205 (not @t200)))) % 0.38/0.61 (step @p311 :rule cnf_or_neg :args (@t205 2)) % 0.38/0.61 (step @p312 :rule eq_resolve :premises (@p311 @p310)) % 0.38/0.61 (step @p313 :rule reordering :premises (@p312) :args ((or @t199 @t205))) % 0.38/0.61 (step @p314 :rule chain_m_resolution :premises (@p313 @p305) :args (@t199 @t206 @t207)) % 0.38/0.61 (step @p315 :rule bool-double-not-elim :args (@t203)) % 0.38/0.61 (step @p316 :rule nary_cong :premises (@p309 @p315) :args ((or @t205 (not @t204)))) % 0.38/0.61 (step @p317 :rule cnf_or_neg :args (@t205 0)) % 0.38/0.61 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 0.38/0.61 (step @p319 :rule reordering :premises (@p318) :args ((or @t203 @t205))) % 0.38/0.61 (step @p320 :rule chain_m_resolution :premises (@p319 @p305) :args (@t203 @t206 @t207)) % 0.38/0.61 (step @p321 :rule cnf_or_pos :args (@t210)) % 0.38/0.61 (step @p322 :rule reordering :premises (@p321) :args ((or @t204 @t200 @t198 @t209 (not @t210)))) % 0.38/0.61 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p314 @p307 @p303) :args (@t209 @t211 (@list @t203 @t199 @t198 @t210))) % 0.38/0.61 (step @p324 :rule bool-double-not-elim :args (@t201)) % 0.38/0.61 (step @p325 :rule nary_cong :premises (@p309 @p324) :args ((or @t205 (not @t202)))) % 0.38/0.61 (step @p326 :rule cnf_or_neg :args (@t205 1)) % 0.38/0.61 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 0.38/0.61 (step @p328 :rule reordering :premises (@p327) :args ((or @t201 @t205))) % 0.38/0.61 (step @p329 :rule chain_m_resolution :premises (@p328 @p305) :args (@t201 @t206 @t207)) % 0.38/0.61 (step @p330 :rule cnf_or_pos :args (@t214)) % 0.38/0.61 (step @p331 :rule reordering :premises (@p330) :args ((or @t204 @t202 @t208 @t213 (not @t214)))) % 0.38/0.61 (step @p332 :rule chain_m_resolution :premises (@p331 @p320 @p329 @p323 @p301) :args (@t213 @t211 (@list @t203 @t201 @t208 @t214))) % 0.38/0.61 (assume-push @p339 @t215) % 0.38/0.61 (step @p334 :rule instantiate :premises (@p22) :args ((@list tptp.mactual))) % 0.38/0.61 (step-pop @p340 :rule scope :premises (@p334)) % 0.38/0.61 (step @p335 :rule process_scope :premises (@p340) :args (@t212)) % 0.38/0.61 (step @p337 :rule implies_elim :premises (@p335)) % 0.38/0.61 (step @p338 false :rule chain_m_resolution :premises (@p337 @p332 @p22) :args (false (@list true false) (@list @t212 @t215))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------