%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU774^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:53:08 AM UTC 2026 % Result : Theorem 0.42s 0.63s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU774^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:51:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.51 %----Proving TH0 % 0.42/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.63 % SZS status Theorem % 0.42/0.63 % SZS output start Proof % 0.42/0.63 ( % 0.42/0.63 (declare-sort $$unsorted 0) % 0.42/0.63 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.63 (declare-const tptp.eqbreln Bool) % 0.42/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.63 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.63 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.42/0.63 (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1))))) % 0.42/0.63 (define @t1 () (@var "S" $$unsorted)) % 0.42/0.63 (define @t2 () (@var "R" $$unsorted)) % 0.42/0.63 (define @t3 () (= @t2 @t1)) % 0.42/0.63 (define @t4 () (@var "Xy" $$unsorted)) % 0.42/0.63 (define @t5 () (@var "Xx" $$unsorted)) % 0.42/0.63 (define @t6 () (_ (_ tptp.kpair @t5) @t4)) % 0.42/0.63 (define @t7 () (_ tptp.in @t6)) % 0.42/0.63 (define @t8 () (_ @t7 @t2)) % 0.42/0.63 (define @t9 () (_ @t7 @t1)) % 0.42/0.63 (define @t10 () (=> @t9 @t8)) % 0.42/0.63 (define @t11 () (@var "B" $$unsorted)) % 0.42/0.63 (define @t12 () (_ tptp.in @t4)) % 0.42/0.63 (define @t13 () (_ @t12 @t11)) % 0.42/0.63 (define @t14 () (@list @t4)) % 0.42/0.63 (define @t15 () (forall @t14 (=> @t13 @t10))) % 0.42/0.63 (define @t16 () (@var "A" $$unsorted)) % 0.42/0.63 (define @t17 () (_ (_ tptp.in @t5) @t16)) % 0.42/0.63 (define @t18 () (=> @t17 @t15)) % 0.42/0.63 (define @t19 () (@list @t5)) % 0.42/0.63 (define @t20 () (forall @t19 @t18)) % 0.42/0.63 (define @t21 () (=> @t20 @t3)) % 0.42/0.63 (define @t22 () (=> @t8 @t9)) % 0.42/0.63 (define @t23 () (forall @t14 (=> @t13 @t22))) % 0.42/0.63 (define @t24 () (=> @t17 @t23)) % 0.42/0.63 (define @t25 () (forall @t19 @t24)) % 0.42/0.63 (define @t26 () (=> @t25 @t21)) % 0.42/0.63 (define @t27 () (_ tptp.breln @t16)) % 0.42/0.63 (define @t28 () (_ @t27 @t11)) % 0.42/0.63 (define @t29 () (=> (_ @t28 @t1) @t26)) % 0.42/0.63 (define @t30 () (@list @t1)) % 0.42/0.63 (define @t31 () (forall @t30 @t29)) % 0.42/0.63 (define @t32 () (=> (_ @t28 @t2) @t31)) % 0.42/0.63 (define @t33 () (@list @t16 @t11 @t2)) % 0.42/0.63 (define @t34 () (forall @t33 @t32)) % 0.42/0.63 (define @t35 () (= tptp.eqbreln @t34)) % 0.42/0.63 (define @t36 () (_ @t12 @t16)) % 0.42/0.63 (define @t37 () (forall @t14 (=> @t36 @t10))) % 0.42/0.63 (define @t38 () (=> @t17 @t37)) % 0.42/0.63 (define @t39 () (forall @t19 @t38)) % 0.42/0.63 (define @t40 () (=> @t39 @t3)) % 0.42/0.63 (define @t41 () (forall @t14 (=> @t36 @t22))) % 0.42/0.63 (define @t42 () (=> @t17 @t41)) % 0.42/0.63 (define @t43 () (forall @t19 @t42)) % 0.42/0.63 (define @t44 () (=> @t43 @t40)) % 0.42/0.63 (define @t45 () (_ tptp.breln1 @t16)) % 0.42/0.63 (define @t46 () (=> (_ @t45 @t1) @t44)) % 0.42/0.63 (define @t47 () (forall @t30 @t46)) % 0.42/0.63 (define @t48 () (=> (_ @t45 @t2) @t47)) % 0.42/0.63 (define @t49 () (@list @t16 @t2)) % 0.42/0.63 (define @t50 () (forall @t49 @t48)) % 0.42/0.63 (define @t51 () (=> tptp.eqbreln @t50)) % 0.42/0.63 (define @t52 () (not @t51)) % 0.42/0.63 (define @t53 () (_ tptp.cartprod @t16)) % 0.42/0.63 (define @t54 () (_ @t53 @t11)) % 0.42/0.63 (define @t55 () (@var "C" $$unsorted)) % 0.42/0.63 (define @t56 () (_ tptp.subset @t55)) % 0.42/0.63 (define @t57 () (_ @t56 @t54)) % 0.42/0.63 (define @t58 () (lambda (@list @t16 @t11 @t55) @t57)) % 0.42/0.63 (define @t59 () (lambda @t49 (_ (_ @t27 @t16) @t2))) % 0.42/0.63 (define @t60 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 0.42/0.63 (define @t61 () (= @t2 @t60)) % 0.42/0.63 (define @t62 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 0.42/0.63 (define @t63 () (tptp.kpair @t5 @t62)) % 0.42/0.63 (define @t64 () (tptp.in @t63 @t2)) % 0.42/0.63 (define @t65 () (not (tptp.in @t62 @t16))) % 0.42/0.63 (define @t66 () (tptp.in @t5 @t16)) % 0.42/0.63 (define @t67 () (not @t66)) % 0.42/0.63 (define @t68 () (@list @t5 @t62)) % 0.42/0.63 (define @t69 () (not (forall @t68 (or @t67 @t65 (not (tptp.in @t63 @t60)) @t64)))) % 0.42/0.63 (define @t70 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 0.42/0.63 (define @t71 () (tptp.kpair @t5 @t70)) % 0.42/0.63 (define @t72 () (not (tptp.in @t71 @t2))) % 0.42/0.63 (define @t73 () (not (tptp.in @t70 @t16))) % 0.42/0.63 (define @t74 () (@list @t5 @t70)) % 0.42/0.63 (define @t75 () (not (forall @t74 (or @t67 @t73 @t72 (tptp.in @t71 @t60))))) % 0.42/0.63 (define @t76 () (tptp.cartprod @t16 @t16)) % 0.42/0.63 (define @t77 () (not (tptp.subset @t60 @t76))) % 0.42/0.63 (define @t78 () (tptp.subset @t2 @t76)) % 0.42/0.63 (define @t79 () (not @t78)) % 0.42/0.63 (define @t80 () (or @t79 @t77 @t75 @t69 @t61)) % 0.42/0.63 (define @t81 () (@list @t16 @t2 @t60)) % 0.42/0.63 (define @t82 () (forall @t81 @t80)) % 0.42/0.63 (define @t83 () (@var "BOUND_VARIABLE_7624" $$unsorted)) % 0.42/0.63 (define @t84 () (= @t2 @t83)) % 0.42/0.63 (define @t85 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 0.42/0.63 (define @t86 () (tptp.kpair @t5 @t85)) % 0.42/0.63 (define @t87 () (tptp.in @t86 @t2)) % 0.42/0.63 (define @t88 () (not (tptp.in @t85 @t11))) % 0.42/0.63 (define @t89 () (@list @t5 @t85)) % 0.42/0.63 (define @t90 () (not (forall @t89 (or @t67 @t88 (not (tptp.in @t86 @t83)) @t87)))) % 0.42/0.63 (define @t91 () (@var "BOUND_VARIABLE_7556" $$unsorted)) % 0.42/0.63 (define @t92 () (tptp.kpair @t5 @t91)) % 0.42/0.63 (define @t93 () (not (tptp.in @t92 @t2))) % 0.42/0.63 (define @t94 () (not (tptp.in @t91 @t11))) % 0.42/0.63 (define @t95 () (@list @t5 @t91)) % 0.42/0.63 (define @t96 () (not (forall @t95 (or @t67 @t94 @t93 (tptp.in @t92 @t83))))) % 0.42/0.63 (define @t97 () (tptp.cartprod @t16 @t11)) % 0.42/0.63 (define @t98 () (not (tptp.subset @t83 @t97))) % 0.42/0.63 (define @t99 () (tptp.subset @t2 @t97)) % 0.42/0.63 (define @t100 () (not @t99)) % 0.42/0.63 (define @t101 () (or @t98 @t96 @t90 @t84)) % 0.42/0.63 (define @t102 () (or @t100 @t101)) % 0.42/0.63 (define @t103 () (forall (@list @t16 @t11 @t2 @t83) @t102)) % 0.42/0.63 (define @t104 () (@list @t83)) % 0.42/0.63 (define @t105 () (forall @t104 @t102)) % 0.42/0.63 (define @t106 () (forall @t104 @t101)) % 0.42/0.63 (define @t107 () (@list @t1)) % 0.42/0.63 (define @t108 () (or @t100 @t106)) % 0.42/0.63 (define @t109 () (not (tptp.in @t86 @t1))) % 0.42/0.63 (define @t110 () (or @t67 @t88 @t109 @t87)) % 0.42/0.63 (define @t111 () (forall @t89 @t110)) % 0.42/0.63 (define @t112 () (not @t111)) % 0.42/0.63 (define @t113 () (tptp.in @t92 @t1)) % 0.42/0.63 (define @t114 () (or @t67 @t94 @t93 @t113)) % 0.42/0.63 (define @t115 () (forall @t95 @t114)) % 0.42/0.63 (define @t116 () (not @t115)) % 0.42/0.63 (define @t117 () (tptp.subset @t1 @t97)) % 0.42/0.63 (define @t118 () (forall @t30 (or (not @t117) @t116 @t112 @t3))) % 0.42/0.63 (define @t119 () (_ tptp.subset @t2)) % 0.42/0.63 (define @t120 () (_ @t119 @t54)) % 0.42/0.63 (define @t121 () (not @t120)) % 0.42/0.63 (define @t122 () (or @t121 @t118)) % 0.42/0.63 (define @t123 () (_ tptp.subset @t1)) % 0.42/0.63 (define @t124 () (_ @t123 @t54)) % 0.42/0.63 (define @t125 () (not @t124)) % 0.42/0.63 (define @t126 () (or @t125 @t116 @t112 @t3)) % 0.42/0.63 (define @t127 () (or @t116 @t112 @t3)) % 0.42/0.63 (define @t128 () (=> @t111 @t3)) % 0.42/0.63 (define @t129 () (=> @t115 @t128)) % 0.42/0.63 (define @t130 () (or @t88 @t109 @t87)) % 0.42/0.63 (define @t131 () (or @t67 @t130)) % 0.42/0.63 (define @t132 () (forall @t89 @t131)) % 0.42/0.63 (define @t133 () (@list @t85)) % 0.42/0.63 (define @t134 () (forall @t133 @t131)) % 0.42/0.63 (define @t135 () (forall @t133 @t130)) % 0.42/0.63 (define @t136 () (@list @t4)) % 0.42/0.63 (define @t137 () (or @t67 @t135)) % 0.42/0.63 (define @t138 () (tptp.kpair @t5 @t4)) % 0.42/0.63 (define @t139 () (tptp.in @t138 @t2)) % 0.42/0.63 (define @t140 () (tptp.in @t138 @t1)) % 0.42/0.63 (define @t141 () (not @t140)) % 0.42/0.63 (define @t142 () (tptp.in @t4 @t11)) % 0.42/0.63 (define @t143 () (not @t142)) % 0.42/0.63 (define @t144 () (forall @t14 (or @t143 @t141 @t139))) % 0.42/0.63 (define @t145 () (not @t17)) % 0.42/0.63 (define @t146 () (or @t145 @t144)) % 0.42/0.63 (define @t147 () (_ tptp.in @t138)) % 0.42/0.63 (define @t148 () (not @t9)) % 0.42/0.63 (define @t149 () (not @t13)) % 0.42/0.63 (define @t150 () (or @t149 @t148 @t8)) % 0.42/0.63 (define @t151 () (or @t148 @t8)) % 0.42/0.63 (define @t152 () (or @t94 @t93 @t113)) % 0.42/0.63 (define @t153 () (or @t67 @t152)) % 0.42/0.63 (define @t154 () (forall @t95 @t153)) % 0.42/0.63 (define @t155 () (@list @t91)) % 0.42/0.63 (define @t156 () (forall @t155 @t153)) % 0.42/0.63 (define @t157 () (forall @t155 @t152)) % 0.42/0.63 (define @t158 () (or @t67 @t157)) % 0.42/0.63 (define @t159 () (not @t139)) % 0.42/0.63 (define @t160 () (forall @t14 (or @t143 @t159 @t140))) % 0.42/0.63 (define @t161 () (or @t145 @t160)) % 0.42/0.63 (define @t162 () (not @t8)) % 0.42/0.63 (define @t163 () (or @t149 @t162 @t9)) % 0.42/0.63 (define @t164 () (or @t162 @t9)) % 0.42/0.63 (define @t165 () (@list @t55)) % 0.42/0.63 (define @t166 () (lambda @t165 @t57)) % 0.42/0.63 (define @t167 () (lambda (@list @t11 @t55) @t57)) % 0.42/0.63 (define @t168 () (_ @t58 @t16)) % 0.42/0.63 (define @t169 () (_ @t168 @t11)) % 0.42/0.63 (define @t170 () (=> (_ @t169 @t1) @t26)) % 0.42/0.63 (define @t171 () (forall @t30 @t170)) % 0.42/0.63 (define @t172 () (=> (_ @t169 @t2) @t171)) % 0.42/0.63 (define @t173 () (forall @t33 @t172)) % 0.42/0.63 (define @t174 () (=> tptp.eqbreln @t82)) % 0.42/0.63 (define @t175 () (or @t77 @t75 @t69 @t61)) % 0.42/0.63 (define @t176 () (or @t79 @t175)) % 0.42/0.63 (define @t177 () (forall @t81 @t176)) % 0.42/0.63 (define @t178 () (@list @t60)) % 0.42/0.63 (define @t179 () (forall @t178 @t176)) % 0.42/0.63 (define @t180 () (forall @t178 @t175)) % 0.42/0.63 (define @t181 () (or @t79 @t180)) % 0.42/0.63 (define @t182 () (not (tptp.in @t63 @t1))) % 0.42/0.63 (define @t183 () (or @t67 @t65 @t182 @t64)) % 0.42/0.63 (define @t184 () (forall @t68 @t183)) % 0.42/0.63 (define @t185 () (not @t184)) % 0.42/0.63 (define @t186 () (tptp.in @t71 @t1)) % 0.42/0.63 (define @t187 () (or @t67 @t73 @t72 @t186)) % 0.42/0.63 (define @t188 () (forall @t74 @t187)) % 0.42/0.63 (define @t189 () (not @t188)) % 0.42/0.63 (define @t190 () (tptp.subset @t1 @t76)) % 0.42/0.63 (define @t191 () (forall @t30 (or (not @t190) @t189 @t185 @t3))) % 0.42/0.63 (define @t192 () (_ @t53 @t16)) % 0.42/0.63 (define @t193 () (_ @t119 @t192)) % 0.42/0.63 (define @t194 () (not @t193)) % 0.42/0.63 (define @t195 () (or @t194 @t191)) % 0.42/0.63 (define @t196 () (_ @t123 @t192)) % 0.42/0.63 (define @t197 () (not @t196)) % 0.42/0.63 (define @t198 () (or @t197 @t189 @t185 @t3)) % 0.42/0.63 (define @t199 () (or @t189 @t185 @t3)) % 0.42/0.63 (define @t200 () (=> @t184 @t3)) % 0.42/0.63 (define @t201 () (=> @t188 @t200)) % 0.42/0.63 (define @t202 () (or @t65 @t182 @t64)) % 0.42/0.63 (define @t203 () (or @t67 @t202)) % 0.42/0.63 (define @t204 () (forall @t68 @t203)) % 0.42/0.63 (define @t205 () (@list @t62)) % 0.42/0.63 (define @t206 () (forall @t205 @t203)) % 0.42/0.63 (define @t207 () (forall @t205 @t202)) % 0.42/0.63 (define @t208 () (or @t67 @t207)) % 0.42/0.63 (define @t209 () (tptp.in @t4 @t16)) % 0.42/0.63 (define @t210 () (not @t209)) % 0.42/0.63 (define @t211 () (forall @t14 (or @t210 @t141 @t139))) % 0.42/0.63 (define @t212 () (or @t145 @t211)) % 0.42/0.63 (define @t213 () (not @t36)) % 0.42/0.63 (define @t214 () (or @t213 @t148 @t8)) % 0.42/0.63 (define @t215 () (or @t73 @t72 @t186)) % 0.42/0.63 (define @t216 () (or @t67 @t215)) % 0.42/0.63 (define @t217 () (forall @t74 @t216)) % 0.42/0.63 (define @t218 () (@list @t70)) % 0.42/0.63 (define @t219 () (forall @t218 @t216)) % 0.42/0.63 (define @t220 () (forall @t218 @t215)) % 0.42/0.63 (define @t221 () (or @t67 @t220)) % 0.42/0.63 (define @t222 () (forall @t14 (or @t210 @t159 @t140))) % 0.42/0.63 (define @t223 () (or @t145 @t222)) % 0.42/0.63 (define @t224 () (or @t213 @t162 @t9)) % 0.42/0.63 (define @t225 () (lambda (@list @t2) @t193)) % 0.42/0.63 (define @t226 () (_ (lambda @t49 @t193) @t16)) % 0.42/0.63 (define @t227 () (=> (_ @t226 @t1) @t44)) % 0.42/0.63 (define @t228 () (forall @t30 @t227)) % 0.42/0.63 (define @t229 () (=> (_ @t226 @t2) @t228)) % 0.42/0.63 (define @t230 () (forall @t49 @t229)) % 0.42/0.63 (define @t231 () (=> tptp.eqbreln @t230)) % 0.42/0.63 (define @t232 () (lambda @t165 (_ @t56 @t192))) % 0.42/0.63 (define @t233 () (@quantifiers_skolemize @t82 0)) % 0.42/0.63 (define @t234 () (tptp.cartprod @t233 @t233)) % 0.42/0.63 (define @t235 () (@quantifiers_skolemize @t82 1)) % 0.42/0.63 (define @t236 () (tptp.subset @t235 @t234)) % 0.42/0.63 (define @t237 () (@quantifiers_skolemize @t82 2)) % 0.42/0.63 (define @t238 () (= @t235 @t237)) % 0.42/0.63 (define @t239 () (not (tptp.in @t5 @t233))) % 0.42/0.63 (define @t240 () (forall @t68 (or @t239 (not (tptp.in @t62 @t233)) (not (tptp.in @t63 @t237)) (tptp.in @t63 @t235)))) % 0.42/0.63 (define @t241 () (not @t240)) % 0.42/0.63 (define @t242 () (forall @t74 (or @t239 (not (tptp.in @t70 @t233)) (not (tptp.in @t71 @t235)) (tptp.in @t71 @t237)))) % 0.42/0.63 (define @t243 () (not @t242)) % 0.42/0.63 (define @t244 () (tptp.subset @t237 @t234)) % 0.42/0.63 (define @t245 () (not @t244)) % 0.42/0.63 (define @t246 () (not @t236)) % 0.42/0.63 (define @t247 () (or @t246 @t245 @t243 @t241 @t238)) % 0.42/0.63 (define @t248 () (@list true)) % 0.42/0.63 (define @t249 () (@list @t247)) % 0.42/0.63 (define @t250 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 0.42/0.63 (define @t251 () (@var "BOUND_VARIABLE_8080" $$unsorted)) % 0.42/0.63 (define @t252 () (tptp.kpair @t251 @t250)) % 0.42/0.63 (define @t253 () (@list @t251 @t250)) % 0.42/0.63 (define @t254 () (forall @t95 (or @t239 (not (tptp.in @t91 @t233)) (not (tptp.in @t92 @t235)) (tptp.in @t92 @t237)))) % 0.42/0.63 (define @t255 () (@list false)) % 0.42/0.63 (define @t256 () (@var "BOUND_VARIABLE_8106" $$unsorted)) % 0.42/0.63 (define @t257 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 0.42/0.63 (define @t258 () (tptp.kpair @t257 @t256)) % 0.42/0.63 (define @t259 () (@list @t257 @t256)) % 0.42/0.63 (define @t260 () (forall @t89 (or @t239 (not (tptp.in @t85 @t233)) (not (tptp.in @t86 @t237)) (tptp.in @t86 @t235)))) % 0.42/0.63 (define @t261 () (not @t260)) % 0.42/0.63 (define @t262 () (not @t254)) % 0.42/0.63 (define @t263 () (or @t246 @t245 @t262 @t261 @t238)) % 0.42/0.63 (assume @p1 @t35) % 0.42/0.63 (assume @p2 @t52) % 0.42/0.63 (assume @p3 true) % 0.42/0.63 (step @p4 (= tptp.breln @t58) :rule refl :args (@t58)) % 0.42/0.63 (step @p5 (= tptp.breln1 @t59) :rule refl :args (@t59)) % 0.42/0.63 (step @p6 :rule refl :args (@t82)) % 0.42/0.63 (step @p7 :rule aci_norm :args ((= @t102 (or @t100 @t98 @t96 @t90 @t84)))) % 0.42/0.63 (step @p8 :rule cong :premises (@p7) :args (@t103)) % 0.42/0.63 (step @p9 :rule quant-merge-prenex :args ((= (forall @t33 @t105) @t103))) % 0.42/0.63 (step @p10 :rule alpha_equiv :args (@t106 (@list @t83) @t107)) % 0.42/0.63 (step @p11 :rule refl :args (@t100)) % 0.42/0.63 (step @p12 :rule 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0.42/0.63 (step @p91 :rule refl :args (@t17)) % 0.42/0.63 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t17 @t66))) % 0.42/0.63 (step @p93 :rule symm :premises (@p92)) % 0.42/0.63 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.42/0.63 (step @p95 :rule cong :premises (@p94) :args (@t145)) % 0.42/0.63 (step @p96 :rule nary_cong :premises (@p95 @p89) :args (@t146)) % 0.42/0.63 (step @p97 :rule cong :premises (@p96) :args ((forall @t19 @t146))) % 0.42/0.63 (step @p98 :rule trans :premises (@p97 @p88)) % 0.42/0.63 (step @p99 :rule bool-impl-elim :args (@t17 @t144)) % 0.42/0.63 (step @p100 :rule cong :premises (@p99) :args ((forall @t19 (=> @t17 @t144)))) % 0.42/0.63 (step @p101 :rule trans :premises (@p100 @p98)) % 0.42/0.63 (step @p102 :rule refl :args ((tptp.in @t6 @t2))) % 0.42/0.63 (step @p103 :rule refl :args (@t138)) % 0.42/0.63 (step @p104 :rule cong :premises (@p103 @p22) :args (@t139)) % 0.42/0.63 (step @p105 :rule trans :premises (@p104 @p102)) % 0.42/0.63 (step 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0.42/0.63 (step @p415 :rule cnf_or_neg :args (@t247 2)) % 0.42/0.63 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.42/0.63 (step @p417 :rule reordering :premises (@p416) :args ((or @t242 @t247))) % 0.42/0.63 (step @p418 :rule chain_m_resolution :premises (@p417 @p395) :args (@t242 @t248 @t249)) % 0.42/0.63 (step @p419 :rule alpha_equiv :args ((forall (@list @t251 @t250) (or (not (tptp.in @t251 @t233)) (not (tptp.in @t250 @t233)) (not (tptp.in @t252 @t235)) (tptp.in @t252 @t237))) @t253 (@list @t5 @t91))) % 0.42/0.63 (step @p420 :rule alpha_equiv :args (@t242 (@list @t5 @t70) @t253)) % 0.42/0.63 (step @p421 :rule trans :premises (@p420 @p419)) % 0.42/0.63 (step @p422 :rule equiv_elim1 :premises (@p421)) % 0.42/0.63 (step @p423 :rule chain_m_resolution :premises (@p422 @p418) :args (@t254 @t255 (@list @t242))) % 0.42/0.63 (step @p424 :rule bool-double-not-elim :args (@t240)) % 0.42/0.63 (step @p425 :rule nary_cong :premises (@p397 @p424) :args ((or @t247 (not @t241)))) % 0.42/0.63 (step @p426 :rule cnf_or_neg :args (@t247 3)) % 0.42/0.63 (step @p427 :rule eq_resolve :premises (@p426 @p425)) % 0.42/0.63 (step @p428 :rule reordering :premises (@p427) :args ((or @t240 @t247))) % 0.42/0.63 (step @p429 :rule chain_m_resolution :premises (@p428 @p395) :args (@t240 @t248 @t249)) % 0.42/0.63 (step @p430 :rule alpha_equiv :args ((forall (@list @t257 @t256) (or (not (tptp.in @t257 @t233)) (not (tptp.in @t256 @t233)) (not (tptp.in @t258 @t237)) (tptp.in @t258 @t235))) @t259 (@list @t5 @t85))) % 0.42/0.63 (step @p431 :rule alpha_equiv :args (@t240 (@list @t5 @t62) @t259)) % 0.42/0.63 (step @p432 :rule trans :premises (@p431 @p430)) % 0.42/0.63 (step @p433 :rule equiv_elim1 :premises (@p432)) % 0.42/0.63 (step @p434 :rule chain_m_resolution :premises (@p433 @p429) :args (@t260 @t255 (@list @t240))) % 0.42/0.63 (step @p435 :rule cnf_or_pos :args (@t263)) % 0.42/0.63 (step @p436 :rule reordering :premises (@p435) :args ((or @t246 @t245 @t238 @t262 @t261 (not @t263)))) % 0.42/0.63 (step @p437 false :rule chain_m_resolution :premises (@p436 @p434 @p423 @p412 @p410 @p408 @p402) :args (false (@list false false false true false false) (@list @t260 @t254 @t263 @t238 @t244 @t236))) % 0.42/0.63 ) % 0.42/0.63 % SZS output end Proof % 0.42/0.63 % cvc5 exiting %------------------------------------------------------------------------------