%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU780^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:53:10 AM UTC 2026 % Result : Theorem 0.41s 0.63s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SEU780^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n009.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:51:14 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.41/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.63 % SZS status Theorem % 0.41/0.63 % SZS output start Proof % 0.41/0.63 ( % 0.41/0.63 (declare-sort $$unsorted 0) % 0.41/0.63 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.63 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.63 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.41/0.63 (declare-const tptp.dpsetconstrER Bool) % 0.41/0.63 (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1))))))) % 0.41/0.63 (define tptp.breln1 () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ (_ tptp.breln _let_2) _let_2) _let_1))))) % 0.41/0.63 (define tptp.breln1compset () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xz" $$unsorted))) (let ((_let_4 (@var "R" $$unsorted))) (let ((_let_5 (@var "Xx" $$unsorted))) (let ((_let_6 (@var "A" $$unsorted))) (lambda (@list _let_6 _let_4 _let_1) (_ (_ (_ tptp.dpsetconstr _let_6) _let_6) (lambda (@list _let_5 _let_2) (exists (@list _let_3) (and (_ (_ tptp.in _let_3) _let_6) (_ (_ tptp.in (_ (_ tptp.kpair _let_5) _let_3)) _let_4) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1))))))))))))) % 0.41/0.63 (define @t1 () (@var "Xy" $$unsorted)) % 0.41/0.63 (define @t2 () (@var "Xx" $$unsorted)) % 0.41/0.63 (define @t3 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.41/0.63 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.41/0.63 (define @t5 () (@var "Xu" $$unsorted)) % 0.41/0.63 (define @t6 () (@var "Xz" $$unsorted)) % 0.41/0.63 (define @t7 () (_ (_ @t3 @t6) @t5)) % 0.41/0.63 (define @t8 () (@list @t6 @t5)) % 0.41/0.63 (define @t9 () (lambda @t8 @t7)) % 0.41/0.63 (define @t10 () (@var "B" $$unsorted)) % 0.41/0.63 (define @t11 () (@var "A" $$unsorted)) % 0.41/0.63 (define @t12 () (_ tptp.dpsetconstr @t11)) % 0.41/0.63 (define @t13 () (_ @t12 @t10)) % 0.41/0.63 (define @t14 () (_ @t13 @t9)) % 0.41/0.63 (define @t15 () (_ tptp.kpair @t2)) % 0.41/0.63 (define @t16 () (_ @t15 @t1)) % 0.41/0.63 (define @t17 () (_ tptp.in @t16)) % 0.41/0.63 (define @t18 () (_ @t17 @t14)) % 0.41/0.63 (define @t19 () (@list @t11 @t10 @t3 @t2 @t1)) % 0.41/0.63 (define @t20 () (forall @t19 (=> @t18 @t4))) % 0.41/0.63 (define @t21 () (= tptp.dpsetconstrER @t20)) % 0.41/0.63 (define @t22 () (@var "S" $$unsorted)) % 0.41/0.63 (define @t23 () (_ tptp.kpair @t6)) % 0.41/0.63 (define @t24 () (_ @t23 @t1)) % 0.41/0.63 (define @t25 () (_ (_ tptp.in @t24) @t22)) % 0.41/0.63 (define @t26 () (@var "R" $$unsorted)) % 0.41/0.63 (define @t27 () (_ @t15 @t6)) % 0.41/0.63 (define @t28 () (_ (_ tptp.in @t27) @t26)) % 0.41/0.63 (define @t29 () (_ (_ tptp.in @t6) @t11)) % 0.41/0.63 (define @t30 () (and @t29 @t28 @t25)) % 0.41/0.63 (define @t31 () (@list @t6)) % 0.41/0.63 (define @t32 () (exists @t31 @t30)) % 0.41/0.63 (define @t33 () (=> (_ @t17 (_ (_ (_ tptp.breln1compset @t11) @t26) @t22)) @t32)) % 0.41/0.63 (define @t34 () (_ (_ tptp.in @t1) @t11)) % 0.41/0.63 (define @t35 () (=> @t34 @t33)) % 0.41/0.63 (define @t36 () (@list @t1)) % 0.41/0.63 (define @t37 () (forall @t36 @t35)) % 0.41/0.63 (define @t38 () (_ (_ tptp.in @t2) @t11)) % 0.41/0.63 (define @t39 () (=> @t38 @t37)) % 0.41/0.63 (define @t40 () (@list @t2)) % 0.41/0.63 (define @t41 () (forall @t40 @t39)) % 0.41/0.63 (define @t42 () (_ tptp.breln1 @t11)) % 0.41/0.63 (define @t43 () (=> (_ @t42 @t22) @t41)) % 0.41/0.63 (define @t44 () (@list @t22)) % 0.41/0.63 (define @t45 () (forall @t44 @t43)) % 0.41/0.63 (define @t46 () (=> (_ @t42 @t26) @t45)) % 0.41/0.63 (define @t47 () (@list @t11 @t26)) % 0.41/0.63 (define @t48 () (forall @t47 @t46)) % 0.41/0.63 (define @t49 () (=> tptp.dpsetconstrER @t48)) % 0.41/0.63 (define @t50 () (not @t49)) % 0.41/0.63 (define @t51 () (_ tptp.cartprod @t11)) % 0.41/0.63 (define @t52 () (@var "C" $$unsorted)) % 0.41/0.63 (define @t53 () (_ tptp.subset @t52)) % 0.41/0.63 (define @t54 () (_ @t53 (_ @t51 @t10))) % 0.41/0.63 (define @t55 () (lambda (@list @t11 @t10 @t52) @t54)) % 0.41/0.63 (define @t56 () (lambda @t47 (_ (_ (_ tptp.breln @t11) @t11) @t26))) % 0.41/0.63 (define @t57 () (@list @t2 @t1)) % 0.41/0.63 (define @t58 () (lambda @t57 @t32)) % 0.41/0.63 (define @t59 () (_ @t12 @t11)) % 0.41/0.63 (define @t60 () (@list @t11 @t26 @t22)) % 0.41/0.63 (define @t61 () (lambda @t60 (_ @t59 @t58))) % 0.41/0.63 (define @t62 () (@var "BOUND_VARIABLE_7630" $$unsorted)) % 0.41/0.63 (define @t63 () (@var "BOUND_VARIABLE_7661" $$unsorted)) % 0.41/0.63 (define @t64 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 0.41/0.63 (define @t65 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.41/0.63 (define @t66 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 0.41/0.63 (define @t67 () (tptp.in @t6 @t11)) % 0.41/0.63 (define @t68 () (not @t67)) % 0.41/0.63 (define @t69 () (not (forall @t31 (or @t68 (not (tptp.in (tptp.kpair @t66 @t6) @t26)) (not (tptp.in (tptp.kpair @t6 @t65) @t64)))))) % 0.41/0.63 (define @t70 () (tptp.kpair @t6 @t62)) % 0.41/0.63 (define @t71 () (tptp.kpair @t63 @t6)) % 0.41/0.63 (define @t72 () (not (tptp.in @t71 @t26))) % 0.41/0.63 (define @t73 () (@list @t63 @t62)) % 0.41/0.63 (define @t74 () (not (tptp.in (tptp.kpair @t66 @t65) (tptp.dpsetconstr @t11 @t11 (lambda @t73 (not (forall @t31 (or @t68 @t72 (not (tptp.in @t70 @t64)))))))))) % 0.41/0.63 (define @t75 () (not (tptp.in @t65 @t11))) % 0.41/0.63 (define @t76 () (not (tptp.in @t66 @t11))) % 0.41/0.63 (define @t77 () (tptp.cartprod @t11 @t11)) % 0.41/0.63 (define @t78 () (not (tptp.subset @t64 @t77))) % 0.41/0.63 (define @t79 () (tptp.subset @t26 @t77)) % 0.41/0.63 (define @t80 () (not @t79)) % 0.41/0.63 (define @t81 () (or @t80 @t78 @t76 @t75 @t74 @t69)) % 0.41/0.63 (define @t82 () (@list @t11 @t26 @t64 @t66 @t65)) % 0.41/0.63 (define @t83 () (forall @t82 @t81)) % 0.41/0.63 (define @t84 () (@quantifiers_skolemize @t83 2)) % 0.41/0.63 (define @t85 () (@quantifiers_skolemize @t83 1)) % 0.41/0.63 (define @t86 () (@quantifiers_skolemize @t83 0)) % 0.41/0.63 (define @t87 () (not (tptp.in @t6 @t86))) % 0.41/0.63 (define @t88 () (not (forall @t31 (or @t87 (not (tptp.in @t71 @t85)) (not (tptp.in @t70 @t84)))))) % 0.41/0.63 (define @t89 () (lambda @t73 @t88)) % 0.41/0.63 (define @t90 () (@purify @t89)) % 0.41/0.63 (define @t91 () (_ @t90 @t63 @t62)) % 0.41/0.63 (define @t92 () (_ @t89 @t63 @t62)) % 0.41/0.63 (define @t93 () (= @t91 @t92)) % 0.41/0.63 (define @t94 () (forall @t73 @t93)) % 0.41/0.63 (define @t95 () (_ @t3 @t2 @t1)) % 0.41/0.63 (define @t96 () (_ @t3 @t6 @t5)) % 0.41/0.63 (define @t97 () (lambda @t8 @t96)) % 0.41/0.63 (define @t98 () (tptp.dpsetconstr @t11 @t10 @t97)) % 0.41/0.63 (define @t99 () (tptp.kpair @t2 @t1)) % 0.41/0.63 (define @t100 () (tptp.in @t99 @t98)) % 0.41/0.63 (define @t101 () (not @t100)) % 0.41/0.63 (define @t102 () (or @t101 @t95)) % 0.41/0.63 (define @t103 () (_ tptp.in @t99)) % 0.41/0.63 (define @t104 () (not @t18)) % 0.41/0.63 (define @t105 () (or @t104 @t4)) % 0.41/0.63 (define @t106 () (=> tptp.dpsetconstrER @t83)) % 0.41/0.63 (define @t107 () (or @t78 @t76 @t75 @t74 @t69)) % 0.41/0.63 (define @t108 () (or @t80 @t107)) % 0.41/0.63 (define @t109 () (forall @t82 @t108)) % 0.41/0.63 (define @t110 () (@list @t64 @t66 @t65)) % 0.41/0.63 (define @t111 () (forall @t110 @t108)) % 0.41/0.63 (define @t112 () (forall @t110 @t107)) % 0.41/0.63 (define @t113 () (@var "BOUND_VARIABLE_7717" $$unsorted)) % 0.41/0.63 (define @t114 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 0.41/0.63 (define @t115 () (or @t80 @t112)) % 0.41/0.63 (define @t116 () (not (forall @t31 (or @t68 (not (tptp.in (tptp.kpair @t114 @t6) @t26)) (not (tptp.in (tptp.kpair @t6 @t113) @t22)))))) % 0.41/0.63 (define @t117 () (tptp.in @t70 @t22)) % 0.41/0.63 (define @t118 () (not @t117)) % 0.41/0.63 (define @t119 () (tptp.dpsetconstr @t11 @t11 (lambda @t73 (not (forall @t31 (or @t68 @t72 @t118)))))) % 0.41/0.63 (define @t120 () (not (tptp.in (tptp.kpair @t114 @t113) @t119))) % 0.41/0.63 (define @t121 () (not (tptp.in @t113 @t11))) % 0.41/0.63 (define @t122 () (not (tptp.in @t114 @t11))) % 0.41/0.63 (define @t123 () (tptp.subset @t22 @t77)) % 0.41/0.63 (define @t124 () (not @t123)) % 0.41/0.63 (define @t125 () (or @t124 @t122 @t121 @t120 @t116)) % 0.41/0.63 (define @t126 () (@list @t22 @t114 @t113)) % 0.41/0.63 (define @t127 () (forall @t126 @t125)) % 0.41/0.63 (define @t128 () (_ @t51 @t11)) % 0.41/0.63 (define @t129 () (_ tptp.subset @t26)) % 0.41/0.63 (define @t130 () (_ @t129 @t128)) % 0.41/0.63 (define @t131 () (not @t130)) % 0.41/0.63 (define @t132 () (or @t131 @t127)) % 0.41/0.63 (define @t133 () (or @t122 @t121 @t120 @t116)) % 0.41/0.63 (define @t134 () (or @t124 @t133)) % 0.41/0.63 (define @t135 () (forall @t126 @t134)) % 0.41/0.63 (define @t136 () (@list @t114 @t113)) % 0.41/0.63 (define @t137 () (forall @t136 @t134)) % 0.41/0.63 (define @t138 () (forall @t136 @t133)) % 0.41/0.63 (define @t139 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 0.41/0.63 (define @t140 () (or @t124 @t138)) % 0.41/0.63 (define @t141 () (tptp.kpair @t2 @t6)) % 0.41/0.63 (define @t142 () (tptp.in @t141 @t26)) % 0.41/0.63 (define @t143 () (not @t142)) % 0.41/0.63 (define @t144 () (not (forall @t31 (or @t68 @t143 (not (tptp.in (tptp.kpair @t6 @t139) @t22)))))) % 0.41/0.63 (define @t145 () (not (tptp.in (tptp.kpair @t2 @t139) @t119))) % 0.41/0.63 (define @t146 () (not (tptp.in @t139 @t11))) % 0.41/0.63 (define @t147 () (tptp.in @t2 @t11)) % 0.41/0.63 (define @t148 () (not @t147)) % 0.41/0.63 (define @t149 () (or @t148 @t146 @t145 @t144)) % 0.41/0.63 (define @t150 () (@list @t2 @t139)) % 0.41/0.63 (define @t151 () (forall @t150 @t149)) % 0.41/0.63 (define @t152 () (_ tptp.subset @t22)) % 0.41/0.63 (define @t153 () (_ @t152 @t128)) % 0.41/0.63 (define @t154 () (not @t153)) % 0.41/0.63 (define @t155 () (or @t154 @t151)) % 0.41/0.63 (define @t156 () (or @t146 @t145 @t144)) % 0.41/0.63 (define @t157 () (or @t148 @t156)) % 0.41/0.63 (define @t158 () (forall @t150 @t157)) % 0.41/0.63 (define @t159 () (@list @t139)) % 0.41/0.63 (define @t160 () (forall @t159 @t157)) % 0.41/0.63 (define @t161 () (forall @t159 @t156)) % 0.41/0.63 (define @t162 () (@list @t1)) % 0.41/0.63 (define @t163 () (or @t148 @t161)) % 0.41/0.63 (define @t164 () (tptp.kpair @t6 @t1)) % 0.41/0.63 (define @t165 () (tptp.in @t164 @t22)) % 0.41/0.63 (define @t166 () (not (forall @t31 (or @t68 @t143 (not @t165))))) % 0.41/0.63 (define @t167 () (tptp.in @t1 @t11)) % 0.41/0.63 (define @t168 () (not @t167)) % 0.41/0.63 (define @t169 () (forall @t36 (or @t168 (not (tptp.in @t99 @t119)) @t166))) % 0.41/0.63 (define @t170 () (not @t38)) % 0.41/0.63 (define @t171 () (or @t170 @t169)) % 0.41/0.63 (define @t172 () (or @t68 @t143 @t118)) % 0.41/0.63 (define @t173 () (forall @t31 @t172)) % 0.41/0.63 (define @t174 () (not @t173)) % 0.41/0.63 (define @t175 () (@list @t2 @t62)) % 0.41/0.63 (define @t176 () (lambda @t175 @t174)) % 0.41/0.63 (define @t177 () (tptp.dpsetconstr @t11 @t11 @t176)) % 0.41/0.63 (define @t178 () (tptp.in @t99 @t177)) % 0.41/0.63 (define @t179 () (not @t178)) % 0.41/0.63 (define @t180 () (or @t168 @t179 @t166)) % 0.41/0.63 (define @t181 () (forall @t36 @t180)) % 0.41/0.63 (define @t182 () (=> @t38 @t181)) % 0.41/0.63 (define @t183 () (_ @t23 @t62)) % 0.41/0.63 (define @t184 () (not @t28)) % 0.41/0.63 (define @t185 () (not @t29)) % 0.41/0.63 (define @t186 () (lambda @t175 (not (forall @t31 (or @t185 @t184 (not (_ (_ tptp.in @t183) @t22))))))) % 0.41/0.63 (define @t187 () (_ @t59 @t186)) % 0.41/0.63 (define @t188 () (_ @t59 @t176)) % 0.41/0.63 (define @t189 () (_ @t17 @t188)) % 0.41/0.63 (define @t190 () (not @t189)) % 0.41/0.63 (define @t191 () (not @t34)) % 0.41/0.63 (define @t192 () (or @t191 @t190 @t166)) % 0.41/0.63 (define @t193 () (=> @t189 @t166)) % 0.41/0.63 (define @t194 () (lambda @t57 @t166)) % 0.41/0.63 (define @t195 () (_ @t59 @t194)) % 0.41/0.63 (define @t196 () (=> (_ @t17 @t195) @t166)) % 0.41/0.63 (define @t197 () (=> @t34 @t196)) % 0.41/0.63 (define @t198 () (not @t25)) % 0.41/0.63 (define @t199 () (or @t185 @t184 @t198)) % 0.41/0.63 (define @t200 () (forall @t31 (not @t30))) % 0.41/0.63 (define @t201 () (not @t200)) % 0.41/0.63 (define @t202 () (lambda @t44 @t195)) % 0.41/0.63 (define @t203 () (lambda (@list @t26 @t22) @t195)) % 0.41/0.63 (define @t204 () (_ (lambda @t60 @t195) @t11)) % 0.41/0.63 (define @t205 () (=> (_ @t17 (_ (_ @t204 @t26) @t22)) @t32)) % 0.41/0.63 (define @t206 () (=> @t34 @t205)) % 0.41/0.63 (define @t207 () (forall @t36 @t206)) % 0.41/0.63 (define @t208 () (=> @t38 @t207)) % 0.41/0.63 (define @t209 () (forall @t40 @t208)) % 0.41/0.63 (define @t210 () (lambda (@list @t26) @t130)) % 0.41/0.63 (define @t211 () (_ (lambda @t47 @t130) @t11)) % 0.41/0.63 (define @t212 () (=> (_ @t211 @t22) @t209)) % 0.41/0.63 (define @t213 () (forall @t44 @t212)) % 0.41/0.63 (define @t214 () (=> (_ @t211 @t26) @t213)) % 0.41/0.63 (define @t215 () (forall @t47 @t214)) % 0.41/0.63 (define @t216 () (=> tptp.dpsetconstrER @t215)) % 0.41/0.63 (define @t217 () (lambda (@list @t52) (_ @t53 @t128))) % 0.41/0.63 (define @t218 () (lambda (@list @t10 @t52) @t54)) % 0.41/0.63 (define @t219 () (@quantifiers_skolemize @t83 4)) % 0.41/0.63 (define @t220 () (@quantifiers_skolemize @t83 3)) % 0.41/0.63 (define @t221 () (forall @t31 (or @t87 (not (tptp.in (tptp.kpair @t220 @t6) @t85)) (not (tptp.in (tptp.kpair @t6 @t219) @t84))))) % 0.41/0.63 (define @t222 () (not @t221)) % 0.41/0.63 (define @t223 () (tptp.kpair @t220 @t219)) % 0.41/0.63 (define @t224 () (tptp.in @t223 (tptp.dpsetconstr @t86 @t86 @t90))) % 0.41/0.63 (define @t225 () (not @t224)) % 0.41/0.63 (define @t226 () (not (tptp.in @t219 @t86))) % 0.41/0.63 (define @t227 () (not (tptp.in @t220 @t86))) % 0.41/0.63 (define @t228 () (tptp.cartprod @t86 @t86)) % 0.41/0.63 (define @t229 () (not (tptp.subset @t84 @t228))) % 0.41/0.63 (define @t230 () (not (tptp.subset @t85 @t228))) % 0.41/0.63 (define @t231 () (or @t230 @t229 @t227 @t226 @t225 @t222)) % 0.41/0.63 (define @t232 () (not @t231)) % 0.41/0.63 (define @t233 () (not @t83)) % 0.41/0.63 (define @t234 () (tptp.dpsetconstr @t86 @t86 @t89)) % 0.41/0.63 (define @t235 () (tptp.in @t223 @t234)) % 0.41/0.63 (define @t236 () (not @t235)) % 0.41/0.63 (define @t237 () (or @t230 @t229 @t227 @t226 @t236 @t222)) % 0.41/0.63 (define @t238 () (not @t237)) % 0.41/0.63 (define @t239 () (@list true)) % 0.41/0.63 (define @t240 () (@list @t231)) % 0.41/0.63 (define @t241 () (_ @t90 @t220 @t219)) % 0.41/0.63 (define @t242 () (or @t225 @t241)) % 0.41/0.63 (define @t243 () (@list false false)) % 0.41/0.63 (define @t244 () (= @t222 @t241)) % 0.41/0.63 (define @t245 () (not @t244)) % 0.41/0.63 (define @t246 () (forall @t73 (= @t88 @t91))) % 0.41/0.63 (assume @p1 @t21) % 0.41/0.63 (assume @p2 @t50) % 0.41/0.63 (assume @p3 true) % 0.41/0.63 (step @p4 (= tptp.breln @t55) :rule refl :args (@t55)) % 0.41/0.63 (step @p5 (= tptp.breln1 @t56) :rule refl :args (@t56)) % 0.41/0.63 (step @p6 (= tptp.breln1compset @t61) 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(step @p163 :rule cong :premises (@p162) :args (@t158)) % 0.41/0.63 (step @p164 :rule quant-merge-prenex :args ((= (forall @t40 @t160) @t158))) % 0.41/0.63 (step @p165 :rule alpha_equiv :args (@t161 (@list @t139) @t162)) % 0.41/0.63 (step @p166 :rule refl :args (@t148)) % 0.41/0.63 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t163)) % 0.41/0.63 (step @p168 :rule quant-miniscope-or :args ((= @t160 @t163))) % 0.41/0.63 (step @p169 :rule trans :premises (@p168 @p167)) % 0.41/0.63 (step @p170 :rule symm :premises (@p169)) % 0.41/0.63 (step @p171 :rule cong :premises (@p170) :args ((forall @t40 (or @t148 @t169)))) % 0.41/0.63 (step @p172 :rule trans :premises (@p171 @p164)) % 0.41/0.63 (step @p173 :rule trans :premises (@p172 @p163)) % 0.41/0.63 (step @p174 :rule refl :args (@t169)) % 0.41/0.63 (step @p175 :rule refl :args (@t147)) % 0.41/0.63 (step @p176 :rule refl :args (@t38)) % 0.41/0.63 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t38 @t147))) % 0.41/0.63 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(step @p298 :rule cong :premises (@p297) :args ((forall @t31 @t199))) % 0.37/0.63 (step @p299 :rule aci_norm :args ((= (or @t185 (or @t184 @t198)) @t199))) % 0.37/0.63 (step @p300 :rule bool-and-de-morgan :args (@t28 @t25 true)) % 0.37/0.63 (step @p301 :rule refl :args (@t185)) % 0.37/0.63 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t185 (not (and @t28 @t25))))) % 0.37/0.63 (step @p303 :rule bool-and-de-morgan :args (@t29 @t28 (and @t25))) % 0.37/0.63 (step @p304 :rule trans :premises (@p303 @p302)) % 0.37/0.63 (step @p305 :rule trans :premises (@p304 @p299)) % 0.37/0.63 (step @p306 :rule cong :premises (@p305) :args (@t200)) % 0.37/0.63 (step @p307 :rule trans :premises (@p306 @p298)) % 0.37/0.63 (step @p308 :rule cong :premises (@p307) :args (@t201)) % 0.37/0.63 (step @p309 :rule exists-elim :args ((= @t32 @t201))) % 0.37/0.63 (step @p310 :rule trans :premises (@p309 @p308)) % 0.37/0.63 (step @p311 :rule beta-reduce :args ((= (_ @t202 @t22) @t195))) % 0.37/0.63 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0.37/0.63 (step @p374 :rule ho_cong :premises (@p373 @p31)) % 0.37/0.63 (step @p375 :rule ho_cong :premises (@p374 @p312)) % 0.37/0.63 (step @p376 :rule cong :premises (@p375 @p360) :args (@t43)) % 0.37/0.63 (step @p377 :rule cong :premises (@p376) :args (@t45)) % 0.37/0.63 (step @p378 :rule ho_cong :premises (@p374 @p314)) % 0.37/0.63 (step @p379 :rule cong :premises (@p378 @p377) :args (@t46)) % 0.37/0.63 (step @p380 :rule cong :premises (@p379) :args (@t48)) % 0.37/0.63 (step @p381 :rule cong :premises (@p88 @p380) :args (@t49)) % 0.37/0.63 (step @p382 :rule cong :premises (@p381) :args (@t50)) % 0.37/0.63 (step @p383 :rule trans :premises (@p382 @p345)) % 0.37/0.63 (step @p384 :rule trans :premises (@p383 @p92)) % 0.37/0.63 (step @p385 :rule eq_resolve :premises (@p2 @p384)) % 0.37/0.63 (step @p386 :rule not_implies_elim1 :premises (@p385)) % 0.37/0.63 (step @p387 :rule instantiate :premises (@p386) :args ((@list @t86 @t86 @t90 @t220 @t219))) % 0.37/0.63 (step @p388 :rule 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(step @p432 :rule eq_resolve :premises (@p431 @p430)) % 0.37/0.63 (step @p433 :rule reordering :premises (@p432) :args ((or @t221 @t231))) % 0.37/0.63 (step @p434 :rule chain_m_resolution :premises (@p433 @p418) :args (@t221 @t239 @t240)) % 0.37/0.63 (step @p435 :rule cnf_equiv_pos2 :args (@t244)) % 0.37/0.63 (step @p436 :rule reordering :premises (@p435) :args ((or @t222 (not @t241) @t245))) % 0.37/0.63 (step @p437 :rule chain_m_resolution :premises (@p436 @p434 @p428) :args (@t245 @t243 (@list @t221 @t241))) % 0.37/0.63 (assume-push @p446 @t246) % 0.37/0.63 (step @p439 :rule instantiate :premises (@p26) :args ((@list @t220 @t219))) % 0.37/0.63 (step-pop @p447 :rule scope :premises (@p439)) % 0.37/0.63 (step @p440 :rule process_scope :premises (@p447) :args (@t244)) % 0.37/0.63 (step @p442 :rule implies_elim :premises (@p440)) % 0.37/0.63 (step @p443 false :rule chain_m_resolution :premises (@p442 @p437 @p26) :args (false (@list true false) (@list @t244 @t246))) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------