%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU690^2 : 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 : n014.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 08:52:45 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU690^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:46:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.subbreln Bool) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.setextsub Bool) % 0.38/0.59 (define tptp.breln () (let ((_let_1 (@var "B" $$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))))))) % 0.38/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (_ (_ tptp.subset @t1) @t2)) % 0.38/0.59 (define @t5 () (=> @t4 @t3)) % 0.38/0.59 (define @t6 () (_ (_ tptp.subset @t2) @t1)) % 0.38/0.59 (define @t7 () (@list @t2 @t1)) % 0.38/0.59 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.38/0.59 (define @t9 () (= tptp.setextsub @t8)) % 0.38/0.59 (define @t10 () (@var "S" $$unsorted)) % 0.38/0.59 (define @t11 () (@var "R" $$unsorted)) % 0.38/0.59 (define @t12 () (_ tptp.subset @t11)) % 0.38/0.59 (define @t13 () (_ @t12 @t10)) % 0.38/0.59 (define @t14 () (@var "Xy" $$unsorted)) % 0.38/0.59 (define @t15 () (@var "Xx" $$unsorted)) % 0.38/0.59 (define @t16 () (_ (_ tptp.kpair @t15) @t14)) % 0.38/0.59 (define @t17 () (_ tptp.in @t16)) % 0.38/0.59 (define @t18 () (_ @t17 @t10)) % 0.38/0.59 (define @t19 () (_ @t17 @t11)) % 0.38/0.59 (define @t20 () (=> @t19 @t18)) % 0.38/0.59 (define @t21 () (_ (_ tptp.in @t14) @t1)) % 0.38/0.59 (define @t22 () (@list @t14)) % 0.38/0.59 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.38/0.59 (define @t24 () (_ (_ tptp.in @t15) @t2)) % 0.38/0.59 (define @t25 () (=> @t24 @t23)) % 0.38/0.59 (define @t26 () (@list @t15)) % 0.38/0.59 (define @t27 () (forall @t26 @t25)) % 0.38/0.59 (define @t28 () (=> @t27 @t13)) % 0.38/0.59 (define @t29 () (_ (_ tptp.breln @t2) @t1)) % 0.38/0.59 (define @t30 () (_ @t29 @t10)) % 0.38/0.59 (define @t31 () (=> @t30 @t28)) % 0.38/0.59 (define @t32 () (@list @t10)) % 0.38/0.59 (define @t33 () (forall @t32 @t31)) % 0.38/0.59 (define @t34 () (_ @t29 @t11)) % 0.38/0.59 (define @t35 () (=> @t34 @t33)) % 0.38/0.59 (define @t36 () (@list @t2 @t1 @t11)) % 0.38/0.59 (define @t37 () (forall @t36 @t35)) % 0.38/0.59 (define @t38 () (= tptp.subbreln @t37)) % 0.38/0.59 (define @t39 () (= @t11 @t10)) % 0.38/0.59 (define @t40 () (=> @t18 @t19)) % 0.38/0.59 (define @t41 () (forall @t22 (=> @t21 @t40))) % 0.38/0.59 (define @t42 () (=> @t24 @t41)) % 0.38/0.59 (define @t43 () (forall @t26 @t42)) % 0.38/0.59 (define @t44 () (=> @t43 @t39)) % 0.38/0.59 (define @t45 () (=> @t27 @t44)) % 0.38/0.59 (define @t46 () (=> @t30 @t45)) % 0.38/0.59 (define @t47 () (forall @t32 @t46)) % 0.38/0.59 (define @t48 () (=> @t34 @t47)) % 0.38/0.59 (define @t49 () (forall @t36 @t48)) % 0.38/0.59 (define @t50 () (=> tptp.subbreln @t49)) % 0.38/0.59 (define @t51 () (=> tptp.setextsub @t50)) % 0.38/0.59 (define @t52 () (not @t51)) % 0.38/0.59 (define @t53 () (_ (_ tptp.cartprod @t2) @t1)) % 0.38/0.59 (define @t54 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t55 () (_ (_ tptp.subset @t54) @t53)) % 0.38/0.59 (define @t56 () (lambda (@list @t2 @t1 @t54) @t55)) % 0.38/0.59 (define @t57 () (@var "BOUND_VARIABLE_7654" $$unsorted)) % 0.38/0.59 (define @t58 () (= @t11 @t57)) % 0.38/0.59 (define @t59 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 0.38/0.59 (define @t60 () (tptp.kpair @t15 @t59)) % 0.38/0.59 (define @t61 () (tptp.in @t60 @t11)) % 0.38/0.59 (define @t62 () (not (tptp.in @t59 @t1))) % 0.38/0.59 (define @t63 () (tptp.in @t15 @t2)) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (@list @t15 @t59)) % 0.38/0.59 (define @t66 () (not (forall @t65 (or @t64 @t62 (not (tptp.in @t60 @t57)) @t61)))) % 0.38/0.59 (define @t67 () (@var "BOUND_VARIABLE_7547" $$unsorted)) % 0.38/0.59 (define @t68 () (tptp.kpair @t15 @t67)) % 0.38/0.59 (define @t69 () (not (tptp.in @t68 @t11))) % 0.38/0.59 (define @t70 () (not (tptp.in @t67 @t1))) % 0.38/0.59 (define @t71 () (@list @t15 @t67)) % 0.38/0.59 (define @t72 () (not (forall @t71 (or @t64 @t70 @t69 (tptp.in @t68 @t57))))) % 0.38/0.59 (define @t73 () (tptp.cartprod @t2 @t1)) % 0.38/0.59 (define @t74 () (not (tptp.subset @t57 @t73))) % 0.38/0.59 (define @t75 () (tptp.subset @t11 @t73)) % 0.38/0.59 (define @t76 () (not @t75)) % 0.38/0.59 (define @t77 () (or @t76 @t74 @t72 @t66 @t58)) % 0.38/0.59 (define @t78 () (@list @t2 @t1 @t11 @t57)) % 0.38/0.59 (define @t79 () (forall @t78 @t77)) % 0.38/0.59 (define @t80 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 0.38/0.59 (define @t81 () (tptp.subset @t11 @t80)) % 0.38/0.59 (define @t82 () (not (forall @t71 (or @t64 @t70 @t69 (tptp.in @t68 @t80))))) % 0.38/0.59 (define @t83 () (not (tptp.subset @t80 @t73))) % 0.38/0.59 (define @t84 () (or @t83 @t82 @t81)) % 0.38/0.59 (define @t85 () (or @t76 @t84)) % 0.38/0.59 (define @t86 () (forall (@list @t2 @t1 @t11 @t80) @t85)) % 0.38/0.59 (define @t87 () (@list @t80)) % 0.38/0.59 (define @t88 () (forall @t87 @t85)) % 0.38/0.59 (define @t89 () (forall @t87 @t84)) % 0.38/0.59 (define @t90 () (@list @t10)) % 0.38/0.59 (define @t91 () (or @t76 @t89)) % 0.38/0.59 (define @t92 () (tptp.subset @t11 @t10)) % 0.38/0.59 (define @t93 () (tptp.in @t68 @t10)) % 0.38/0.59 (define @t94 () (or @t64 @t70 @t69 @t93)) % 0.38/0.59 (define @t95 () (forall @t71 @t94)) % 0.38/0.59 (define @t96 () (not @t95)) % 0.38/0.59 (define @t97 () (tptp.subset @t10 @t73)) % 0.38/0.59 (define @t98 () (not @t97)) % 0.38/0.59 (define @t99 () (forall @t32 (or @t98 @t96 @t92))) % 0.38/0.59 (define @t100 () (_ @t12 @t53)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (or @t101 @t99)) % 0.38/0.59 (define @t103 () (_ tptp.subset @t10)) % 0.38/0.59 (define @t104 () (_ @t103 @t53)) % 0.38/0.59 (define @t105 () (not @t104)) % 0.38/0.59 (define @t106 () (or @t105 @t96 @t13)) % 0.38/0.59 (define @t107 () (=> @t95 @t13)) % 0.38/0.59 (define @t108 () (or @t70 @t69 @t93)) % 0.38/0.59 (define @t109 () (or @t64 @t108)) % 0.38/0.59 (define @t110 () (forall @t71 @t109)) % 0.38/0.59 (define @t111 () (@list @t67)) % 0.38/0.59 (define @t112 () (forall @t111 @t109)) % 0.38/0.59 (define @t113 () (forall @t111 @t108)) % 0.38/0.59 (define @t114 () (@list @t14)) % 0.38/0.59 (define @t115 () (or @t64 @t113)) % 0.38/0.59 (define @t116 () (tptp.kpair @t15 @t14)) % 0.38/0.59 (define @t117 () (tptp.in @t116 @t10)) % 0.38/0.59 (define @t118 () (tptp.in @t116 @t11)) % 0.38/0.59 (define @t119 () (tptp.in @t14 @t1)) % 0.38/0.59 (define @t120 () (not @t119)) % 0.38/0.59 (define @t121 () (forall @t22 (or @t120 (not @t118) @t117))) % 0.38/0.59 (define @t122 () (not @t24)) % 0.38/0.59 (define @t123 () (or @t122 @t121)) % 0.38/0.59 (define @t124 () (_ tptp.in @t116)) % 0.38/0.59 (define @t125 () (not @t19)) % 0.38/0.59 (define @t126 () (not @t21)) % 0.38/0.59 (define @t127 () (or @t126 @t125 @t18)) % 0.38/0.59 (define @t128 () (lambda (@list @t54) @t55)) % 0.38/0.59 (define @t129 () (lambda (@list @t1 @t54) @t55)) % 0.38/0.59 (define @t130 () (_ @t56 @t2)) % 0.38/0.59 (define @t131 () (_ @t130 @t1)) % 0.38/0.59 (define @t132 () (_ @t131 @t10)) % 0.38/0.59 (define @t133 () (=> @t132 @t28)) % 0.38/0.59 (define @t134 () (forall @t32 @t133)) % 0.38/0.59 (define @t135 () (_ @t131 @t11)) % 0.38/0.59 (define @t136 () (=> @t135 @t134)) % 0.38/0.59 (define @t137 () (forall @t36 @t136)) % 0.38/0.59 (define @t138 () (=> tptp.subbreln @t79)) % 0.38/0.59 (define @t139 () (tptp.subset @t1 @t2)) % 0.38/0.59 (define @t140 () (not @t4)) % 0.38/0.59 (define @t141 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t142 () (not @t6)) % 0.38/0.59 (define @t143 () (or @t142 @t140 @t3)) % 0.38/0.59 (define @t144 () (=> tptp.setextsub @t138)) % 0.38/0.59 (define @t145 () (or @t74 @t72 @t66 @t58)) % 0.38/0.59 (define @t146 () (or @t76 @t145)) % 0.38/0.59 (define @t147 () (forall @t78 @t146)) % 0.38/0.59 (define @t148 () (@list @t57)) % 0.38/0.59 (define @t149 () (forall @t148 @t146)) % 0.38/0.59 (define @t150 () (forall @t148 @t145)) % 0.38/0.59 (define @t151 () (or @t76 @t150)) % 0.38/0.59 (define @t152 () (not (tptp.in @t60 @t10))) % 0.38/0.59 (define @t153 () (or @t64 @t62 @t152 @t61)) % 0.38/0.59 (define @t154 () (forall @t65 @t153)) % 0.38/0.59 (define @t155 () (not @t154)) % 0.38/0.59 (define @t156 () (forall @t32 (or @t98 @t96 @t155 @t39))) % 0.38/0.59 (define @t157 () (or @t101 @t156)) % 0.38/0.59 (define @t158 () (or @t105 @t96 @t155 @t39)) % 0.38/0.59 (define @t159 () (or @t96 @t155 @t39)) % 0.38/0.59 (define @t160 () (=> @t154 @t39)) % 0.38/0.59 (define @t161 () (=> @t95 @t160)) % 0.38/0.59 (define @t162 () (or @t62 @t152 @t61)) % 0.38/0.59 (define @t163 () (or @t64 @t162)) % 0.38/0.59 (define @t164 () (forall @t65 @t163)) % 0.38/0.59 (define @t165 () (@list @t59)) % 0.38/0.59 (define @t166 () (forall @t165 @t163)) % 0.38/0.59 (define @t167 () (forall @t165 @t162)) % 0.38/0.59 (define @t168 () (or @t64 @t167)) % 0.38/0.59 (define @t169 () (forall @t22 (or @t120 (not @t117) @t118))) % 0.38/0.59 (define @t170 () (or @t122 @t169)) % 0.38/0.59 (define @t171 () (not @t18)) % 0.38/0.59 (define @t172 () (or @t126 @t171 @t19)) % 0.38/0.59 (define @t173 () (=> @t132 @t45)) % 0.38/0.59 (define @t174 () (forall @t32 @t173)) % 0.38/0.59 (define @t175 () (=> @t135 @t174)) % 0.38/0.59 (define @t176 () (forall @t36 @t175)) % 0.38/0.59 (define @t177 () (=> tptp.subbreln @t176)) % 0.38/0.59 (define @t178 () (=> tptp.setextsub @t177)) % 0.38/0.59 (define @t179 () (@quantifiers_skolemize @t79 2)) % 0.38/0.59 (define @t180 () (@quantifiers_skolemize @t79 3)) % 0.38/0.59 (define @t181 () (@quantifiers_skolemize @t79 1)) % 0.38/0.59 (define @t182 () (@quantifiers_skolemize @t79 0)) % 0.38/0.59 (define @t183 () (not (tptp.in @t15 @t182))) % 0.38/0.59 (define @t184 () (forall @t65 (or @t183 (not (tptp.in @t59 @t181)) (not (tptp.in @t60 @t180)) (tptp.in @t60 @t179)))) % 0.38/0.59 (define @t185 () (= @t179 @t180)) % 0.38/0.59 (define @t186 () (not @t184)) % 0.38/0.59 (define @t187 () (tptp.in @t68 @t180)) % 0.38/0.59 (define @t188 () (tptp.in @t68 @t179)) % 0.38/0.59 (define @t189 () (not (tptp.in @t67 @t181))) % 0.38/0.59 (define @t190 () (forall @t71 (or @t183 @t189 (not @t188) @t187))) % 0.38/0.59 (define @t191 () (not @t190)) % 0.38/0.59 (define @t192 () (tptp.cartprod @t182 @t181)) % 0.38/0.59 (define @t193 () (tptp.subset @t180 @t192)) % 0.38/0.59 (define @t194 () (not @t193)) % 0.38/0.59 (define @t195 () (tptp.subset @t179 @t192)) % 0.38/0.59 (define @t196 () (not @t195)) % 0.38/0.59 (define @t197 () (or @t196 @t194 @t191 @t186 @t185)) % 0.38/0.59 (define @t198 () (@list true)) % 0.38/0.59 (define @t199 () (@list @t197)) % 0.38/0.59 (define @t200 () (@var "BOUND_VARIABLE_8188" $$unsorted)) % 0.38/0.59 (define @t201 () (@var "BOUND_VARIABLE_8187" $$unsorted)) % 0.38/0.59 (define @t202 () (tptp.kpair @t201 @t200)) % 0.38/0.59 (define @t203 () (@list @t201 @t200)) % 0.38/0.59 (define @t204 () (forall @t71 (or @t183 @t189 (not @t187) @t188))) % 0.38/0.59 (define @t205 () (tptp.subset @t180 @t179)) % 0.38/0.59 (define @t206 () (not @t204)) % 0.38/0.59 (define @t207 () (or @t194 @t196 @t206 @t205)) % 0.38/0.59 (define @t208 () (@list false false false false)) % 0.38/0.59 (define @t209 () (tptp.subset @t179 @t180)) % 0.38/0.59 (define @t210 () (or @t196 @t194 @t191 @t209)) % 0.38/0.59 (define @t211 () (not @t205)) % 0.38/0.59 (define @t212 () (not @t209)) % 0.38/0.59 (define @t213 () (or @t212 @t211 @t185)) % 0.38/0.59 (define @t214 () (not @t213)) % 0.38/0.59 (define @t215 () (forall @t7 (or (not @t141) (not @t139) @t3))) % 0.38/0.59 (assume @p1 @t9) % 0.38/0.59 (assume @p2 @t38) % 0.38/0.59 (assume @p3 @t52) % 0.38/0.59 (assume @p4 true) % 0.38/0.59 (step @p5 (= tptp.breln @t56) :rule refl :args (@t56)) % 0.38/0.59 (step @p6 :rule refl :args (@t79)) % 0.38/0.59 (step @p7 :rule aci_norm :args ((= @t85 (or @t76 @t83 @t82 @t81)))) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t86)) % 0.38/0.59 (step @p9 :rule quant-merge-prenex :args ((= (forall @t36 @t88) @t86))) % 0.38/0.59 (step @p10 :rule alpha_equiv :args (@t89 (@list @t80) @t90)) % 0.38/0.59 (step @p11 :rule refl :args (@t76)) % 0.38/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t91)) % 0.38/0.59 (step @p13 :rule quant-miniscope-or :args ((= @t88 @t91))) % 0.38/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.59 (step @p15 :rule symm :premises (@p14)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t36 (or @t76 @t99)))) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p9)) % 0.38/0.59 (step @p18 :rule trans :premises (@p17 @p8)) % 0.38/0.59 (step @p19 :rule refl :args (@t99)) % 0.38/0.59 (step @p20 :rule refl :args ((tptp.subset @t11 @t53))) % 0.38/0.59 (step @p21 :rule refl :args (@t73)) % 0.38/0.59 (step @p22 :rule refl :args (@t11)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args (@t75)) % 0.38/0.59 (step @p24 :rule trans :premises (@p23 @p20)) % 0.38/0.59 (step @p25 :rule refl :args (@t12)) % 0.38/0.59 (step @p26 :rule ho_cong :premises (@p25 @p21)) % 0.38/0.59 (step @p27 :rule cong :premises (@p26 @p24) :args ((= (_ @t12 @t73) @t75))) % 0.38/0.59 (step @p28 :rule symm :premises (@p27)) % 0.38/0.59 (step @p29 :rule refl :args (@t100)) % 0.38/0.59 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.38/0.59 (step @p31 :rule refl :args (@t53)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p21) :args ((= @t53 @t73))) % 0.38/0.59 (step @p33 :rule symm :premises (@p32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p35 :rule ho_cong :premises (@p25 @p34)) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p30)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36) :args (@t101)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t102)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38) :args ((forall @t36 @t102))) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p18)) % 0.38/0.59 (step @p41 :rule bool-impl-elim :args (@t100 @t99)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args ((forall @t36 (=> @t100 @t99)))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p40)) % 0.38/0.59 (step @p44 :rule refl :args (@t92)) % 0.38/0.59 (step @p45 :rule refl :args (@t13)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t13 @t92))) % 0.38/0.59 (step @p47 :rule symm :premises (@p46)) % 0.38/0.59 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.38/0.59 (step @p49 :rule refl :args (@t96)) % 0.38/0.59 (step @p50 :rule refl :args ((tptp.subset @t10 @t53))) % 0.38/0.59 (step @p51 :rule refl :args (@t10)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51 @p21) :args (@t97)) % 0.38/0.59 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.59 (step @p54 :rule refl :args (@t103)) % 0.38/0.59 (step @p55 :rule ho_cong :premises (@p54 @p21)) % 0.38/0.59 (step @p56 :rule cong :premises (@p55 @p53) :args ((= (_ @t103 @t73) @t97))) % 0.38/0.59 (step @p57 :rule 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:args (@t47)) % 0.38/0.59 (step @p297 :rule cong :premises (@p179 @p296) :args (@t48)) % 0.38/0.59 (step @p298 :rule cong :premises (@p297) :args (@t49)) % 0.38/0.59 (step @p299 :rule cong :premises (@p170 @p298) :args (@t50)) % 0.38/0.59 (step @p300 :rule cong :premises (@p210 @p299) :args (@t51)) % 0.38/0.59 (step @p301 :rule cong :premises (@p300) :args (@t52)) % 0.38/0.59 (step @p302 :rule trans :premises (@p301 @p293)) % 0.38/0.59 (step @p303 :rule trans :premises (@p302 @p214)) % 0.38/0.59 (step @p304 :rule eq_resolve :premises (@p3 @p303)) % 0.38/0.59 (step @p305 :rule not_implies_elim1 :premises (@p304)) % 0.38/0.59 (step @p306 :rule not_implies_elim2 :premises (@p304)) % 0.38/0.59 (step @p307 :rule not_implies_elim1 :premises (@p306)) % 0.38/0.59 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t182 @t181 @t180 @t179))) % 0.38/0.59 (step @p309 :rule not_implies_elim2 :premises (@p306)) % 0.38/0.59 (step @p310 :rule skolemize :premises (@p309)) % 0.38/0.59 (step @p311 :rule bool-double-not-elim :args (@t184)) % 0.38/0.59 (step @p312 :rule refl :args (@t197)) % 0.38/0.59 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t197 (not @t186)))) % 0.38/0.59 (step @p314 :rule cnf_or_neg :args (@t197 3)) % 0.38/0.59 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 0.38/0.59 (step @p316 :rule reordering :premises (@p315) :args ((or @t184 @t197))) % 0.38/0.59 (step @p317 :rule chain_m_resolution :premises (@p316 @p310) :args (@t184 @t198 @t199)) % 0.38/0.59 (step @p318 :rule alpha_equiv :args ((forall (@list @t201 @t200) (or (not (tptp.in @t201 @t182)) (not (tptp.in @t200 @t181)) (not (tptp.in @t202 @t180)) (tptp.in @t202 @t179))) @t203 (@list @t15 @t67))) % 0.38/0.59 (step @p319 :rule alpha_equiv :args (@t184 (@list @t15 @t59) @t203)) % 0.38/0.59 (step @p320 :rule trans :premises (@p319 @p318)) % 0.38/0.59 (step @p321 :rule equiv_elim1 :premises (@p320)) % 0.38/0.59 (step @p322 :rule chain_m_resolution :premises (@p321 @p317) :args (@t204 (@list false) (@list @t184))) % 0.38/0.59 (step @p323 :rule bool-double-not-elim :args (@t193)) % 0.38/0.59 (step @p324 :rule nary_cong :premises (@p312 @p323) :args ((or @t197 (not @t194)))) % 0.38/0.59 (step @p325 :rule cnf_or_neg :args (@t197 1)) % 0.38/0.59 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.38/0.59 (step @p327 :rule reordering :premises (@p326) :args ((or @t193 @t197))) % 0.38/0.59 (step @p328 :rule chain_m_resolution :premises (@p327 @p310) :args (@t193 @t198 @t199)) % 0.38/0.59 (step @p329 :rule bool-double-not-elim :args (@t195)) % 0.38/0.59 (step @p330 :rule nary_cong :premises (@p312 @p329) :args ((or @t197 (not @t196)))) % 0.38/0.59 (step @p331 :rule cnf_or_neg :args (@t197 0)) % 0.38/0.59 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 0.38/0.59 (step @p333 :rule reordering :premises (@p332) :args ((or @t195 @t197))) % 0.38/0.59 (step @p334 :rule chain_m_resolution :premises (@p333 @p310) :args (@t195 @t198 @t199)) % 0.38/0.59 (step @p335 :rule cnf_or_pos :args (@t207)) % 0.38/0.59 (step @p336 :rule reordering :premises (@p335) :args ((or @t196 @t194 @t206 @t205 (not @t207)))) % 0.38/0.59 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p328 @p322 @p308) :args (@t205 @t208 (@list @t195 @t193 @t204 @t207))) % 0.38/0.59 (step @p338 :rule instantiate :premises (@p307) :args ((@list @t182 @t181 @t179 @t180))) % 0.38/0.59 (step @p339 :rule bool-double-not-elim :args (@t190)) % 0.38/0.59 (step @p340 :rule nary_cong :premises (@p312 @p339) :args ((or @t197 (not @t191)))) % 0.38/0.59 (step @p341 :rule cnf_or_neg :args (@t197 2)) % 0.38/0.59 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.38/0.59 (step @p343 :rule reordering :premises (@p342) :args ((or @t190 @t197))) % 0.38/0.59 (step @p344 :rule chain_m_resolution :premises (@p343 @p310) :args (@t190 @t198 @t199)) % 0.38/0.59 (step @p345 :rule cnf_or_pos :args (@t210)) % 0.38/0.59 (step @p346 :rule reordering :premises (@p345) :args ((or @t196 @t194 @t191 @t209 (not @t210)))) % 0.38/0.59 (step @p347 :rule chain_m_resolution :premises (@p346 @p334 @p328 @p344 @p338) :args (@t209 @t208 (@list @t195 @t193 @t190 @t210))) % 0.38/0.59 (step @p348 :rule cnf_or_neg :args (@t197 4)) % 0.38/0.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p310) :args ((not @t185) @t198 @t199)) % 0.38/0.59 (step @p350 :rule cnf_or_pos :args (@t213)) % 0.38/0.59 (step @p351 :rule reordering :premises (@p350) :args ((or @t185 @t212 @t211 @t214))) % 0.38/0.59 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p347 @p337) :args (@t214 (@list true false false) (@list @t185 @t209 @t205))) % 0.38/0.59 (assume-push @p359 @t215) % 0.38/0.59 (step @p354 :rule instantiate :premises (@p305) :args ((@list @t179 @t180))) % 0.38/0.59 (step-pop @p360 :rule scope :premises (@p354)) % 0.38/0.59 (step @p355 :rule process_scope :premises (@p360) :args (@t213)) % 0.38/0.59 (step @p357 :rule implies_elim :premises (@p355)) % 0.38/0.59 (step @p358 false :rule chain_m_resolution :premises (@p357 @p352 @p305) :args (false (@list true false) (@list @t213 @t215))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------