%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU815^2 : 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 : n028.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 08:53:19 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU815^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 17:54:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.transitivesetOp2 Bool) % 0.37/0.60 (declare-const tptp.subsetI1 Bool) % 0.37/0.60 (declare-const tptp.setunionE Bool) % 0.37/0.60 (declare-const tptp.setunionI Bool) % 0.37/0.60 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.60 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 0.37/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t2 () (_ tptp.setunion @t1)) % 0.37/0.60 (define @t3 () (@var "Xx" $$unsorted)) % 0.37/0.60 (define @t4 () (_ tptp.in @t3)) % 0.37/0.60 (define @t5 () (_ @t4 @t2)) % 0.37/0.60 (define @t6 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t7 () (_ (_ tptp.in @t6) @t1)) % 0.37/0.60 (define @t8 () (=> @t7 @t5)) % 0.37/0.60 (define @t9 () (_ @t4 @t6)) % 0.37/0.60 (define @t10 () (@list @t1 @t3 @t6)) % 0.37/0.60 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.37/0.60 (define @t12 () (= tptp.setunionI @t11)) % 0.37/0.60 (define @t13 () (@var "Xphi" Bool)) % 0.37/0.60 (define @t14 () (=> @t7 @t13)) % 0.37/0.60 (define @t15 () (@list @t6)) % 0.37/0.60 (define @t16 () (forall @t15 (=> @t9 @t14))) % 0.37/0.60 (define @t17 () (=> @t16 @t13)) % 0.37/0.60 (define @t18 () (@list @t13)) % 0.37/0.60 (define @t19 () (forall @t18 @t17)) % 0.37/0.60 (define @t20 () (=> @t5 @t19)) % 0.37/0.60 (define @t21 () (@list @t1 @t3)) % 0.37/0.60 (define @t22 () (forall @t21 @t20)) % 0.37/0.60 (define @t23 () (= tptp.setunionE @t22)) % 0.37/0.60 (define @t24 () (_ (_ tptp.subset @t1) @t6)) % 0.37/0.60 (define @t25 () (_ @t4 @t1)) % 0.37/0.60 (define @t26 () (@list @t3)) % 0.37/0.60 (define @t27 () (forall @t26 (=> @t25 @t9))) % 0.37/0.60 (define @t28 () (=> @t27 @t24)) % 0.37/0.60 (define @t29 () (@list @t1 @t6)) % 0.37/0.60 (define @t30 () (forall @t29 @t28)) % 0.37/0.60 (define @t31 () (= tptp.subsetI1 @t30)) % 0.37/0.60 (define @t32 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t33 () (_ @t4 @t32)) % 0.37/0.60 (define @t34 () (=> @t25 @t33)) % 0.37/0.60 (define @t35 () (_ (_ tptp.in @t1) @t32)) % 0.37/0.60 (define @t36 () (forall @t21 (=> @t35 @t34))) % 0.37/0.60 (define @t37 () (=> (_ tptp.transitiveset @t32) @t36)) % 0.37/0.60 (define @t38 () (@list @t32)) % 0.37/0.60 (define @t39 () (forall @t38 @t37)) % 0.37/0.60 (define @t40 () (= tptp.transitivesetOp2 @t39)) % 0.37/0.60 (define @t41 () (_ tptp.setunion @t32)) % 0.37/0.60 (define @t42 () (=> @t33 (_ tptp.transitiveset @t3))) % 0.37/0.60 (define @t43 () (forall @t26 @t42)) % 0.37/0.60 (define @t44 () (=> @t43 (_ tptp.transitiveset @t41))) % 0.37/0.60 (define @t45 () (forall @t38 @t44)) % 0.37/0.60 (define @t46 () (=> tptp.transitivesetOp2 @t45)) % 0.37/0.60 (define @t47 () (=> tptp.subsetI1 @t46)) % 0.37/0.60 (define @t48 () (=> tptp.setunionE @t47)) % 0.37/0.60 (define @t49 () (=> tptp.setunionI @t48)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (_ (_ tptp.subset @t32) @t1)) % 0.37/0.60 (define @t52 () (_ (_ tptp.in @t32) @t1)) % 0.37/0.60 (define @t53 () (forall @t38 (=> @t52 @t51))) % 0.37/0.60 (define @t54 () (@list @t1)) % 0.37/0.60 (define @t55 () (lambda @t54 @t53)) % 0.37/0.60 (define @t56 () (tptp.setunion @t32)) % 0.37/0.60 (define @t57 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.37/0.60 (define @t58 () (tptp.subset @t57 @t56)) % 0.37/0.60 (define @t59 () (not (tptp.in @t57 @t56))) % 0.37/0.60 (define @t60 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 0.37/0.60 (define @t61 () (tptp.subset @t60 @t3)) % 0.37/0.60 (define @t62 () (not (tptp.in @t60 @t3))) % 0.37/0.60 (define @t63 () (tptp.in @t3 @t32)) % 0.37/0.60 (define @t64 () (not @t63)) % 0.37/0.60 (define @t65 () (or @t64 @t62 @t61)) % 0.37/0.60 (define @t66 () (@list @t3 @t60)) % 0.37/0.60 (define @t67 () (forall @t66 @t65)) % 0.37/0.60 (define @t68 () (not @t67)) % 0.37/0.60 (define @t69 () (or @t68 @t59 @t58)) % 0.37/0.60 (define @t70 () (@list @t32 @t57)) % 0.37/0.60 (define @t71 () (forall @t70 @t69)) % 0.37/0.60 (define @t72 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 0.37/0.60 (define @t73 () (tptp.in @t72 @t32)) % 0.37/0.60 (define @t74 () (@var "BOUND_VARIABLE_7600" $$unsorted)) % 0.37/0.60 (define @t75 () (not (tptp.in @t72 @t74))) % 0.37/0.60 (define @t76 () (not (tptp.in @t74 @t32))) % 0.37/0.60 (define @t77 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 0.37/0.60 (define @t78 () (@list @t77)) % 0.37/0.60 (define @t79 () (forall @t78 (or (not (tptp.in @t77 @t32)) (tptp.subset @t77 @t32)))) % 0.37/0.60 (define @t80 () (not @t79)) % 0.37/0.60 (define @t81 () (or @t76 @t75 @t73)) % 0.37/0.60 (define @t82 () (or @t80 @t81)) % 0.37/0.60 (define @t83 () (forall (@list @t32 @t74 @t72) @t82)) % 0.37/0.60 (define @t84 () (@list @t74 @t72)) % 0.37/0.60 (define @t85 () (forall @t84 @t82)) % 0.37/0.60 (define @t86 () (forall @t84 @t81)) % 0.37/0.60 (define @t87 () (or @t80 @t86)) % 0.37/0.60 (define @t88 () (tptp.in @t3 @t1)) % 0.37/0.60 (define @t89 () (not @t88)) % 0.37/0.60 (define @t90 () (tptp.in @t1 @t32)) % 0.37/0.60 (define @t91 () (forall @t21 (or (not @t90) @t89 @t63))) % 0.37/0.60 (define @t92 () (not @t25)) % 0.37/0.60 (define @t93 () (not @t35)) % 0.37/0.60 (define @t94 () (or @t93 @t92 @t33)) % 0.37/0.60 (define @t95 () (tptp.subset @t32 @t1)) % 0.37/0.60 (define @t96 () (tptp.in @t32 @t1)) % 0.37/0.60 (define @t97 () (forall @t38 (or (not @t96) @t95))) % 0.37/0.60 (define @t98 () (@list @t32)) % 0.37/0.60 (define @t99 () (lambda @t54 @t97)) % 0.37/0.60 (define @t100 () (=> (_ @t99 @t32) @t36)) % 0.37/0.60 (define @t101 () (forall @t38 @t100)) % 0.37/0.60 (define @t102 () (not @t52)) % 0.37/0.60 (define @t103 () (or @t102 @t51)) % 0.37/0.60 (define @t104 () (=> tptp.transitivesetOp2 @t71)) % 0.37/0.60 (define @t105 () (tptp.subset @t1 @t6)) % 0.37/0.60 (define @t106 () (tptp.in @t3 @t6)) % 0.37/0.60 (define @t107 () (forall @t26 (or @t89 @t106))) % 0.37/0.60 (define @t108 () (not @t107)) % 0.37/0.60 (define @t109 () (or @t108 @t24)) % 0.37/0.60 (define @t110 () (or @t92 @t9)) % 0.37/0.60 (define @t111 () (=> tptp.subsetI1 @t104)) % 0.37/0.60 (define @t112 () (tptp.in @t6 @t1)) % 0.37/0.60 (define @t113 () (not @t112)) % 0.37/0.60 (define @t114 () (not @t106)) % 0.37/0.60 (define @t115 () (forall @t15 (or @t114 @t113))) % 0.37/0.60 (define @t116 () (not @t115)) % 0.37/0.60 (define @t117 () (tptp.setunion @t1)) % 0.37/0.60 (define @t118 () (tptp.in @t3 @t117)) % 0.37/0.60 (define @t119 () (not @t5)) % 0.37/0.60 (define @t120 () (or @t119 @t116)) % 0.37/0.60 (define @t121 () (not false)) % 0.37/0.60 (define @t122 () (and @t121 @t116)) % 0.37/0.60 (define @t123 () (or @t122 false)) % 0.37/0.60 (define @t124 () (not @t13)) % 0.37/0.60 (define @t125 () (and @t124 @t116)) % 0.37/0.60 (define @t126 () (or @t13 @t125 @t13)) % 0.37/0.60 (define @t127 () (or @t125 @t13)) % 0.37/0.60 (define @t128 () (or @t13 @t115)) % 0.37/0.60 (define @t129 () (not @t7)) % 0.37/0.60 (define @t130 () (not @t9)) % 0.37/0.60 (define @t131 () (or @t130 @t129)) % 0.37/0.60 (define @t132 () (forall @t15 @t131)) % 0.37/0.60 (define @t133 () (or @t13 @t132)) % 0.37/0.60 (define @t134 () (or @t13 @t131)) % 0.37/0.60 (define @t135 () (or @t130 @t129 @t13)) % 0.37/0.60 (define @t136 () (=> tptp.setunionE @t111)) % 0.37/0.60 (define @t137 () (or @t130 @t129 @t5)) % 0.37/0.60 (define @t138 () (=> tptp.setunionI @t136)) % 0.37/0.60 (define @t139 () (or @t59 @t58)) % 0.37/0.60 (define @t140 () (or @t68 @t139)) % 0.37/0.60 (define @t141 () (forall @t70 @t140)) % 0.37/0.60 (define @t142 () (@list @t57)) % 0.37/0.60 (define @t143 () (forall @t142 @t140)) % 0.37/0.60 (define @t144 () (forall @t142 @t139)) % 0.37/0.60 (define @t145 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.37/0.60 (define @t146 () (@list @t145)) % 0.37/0.60 (define @t147 () (or @t68 @t144)) % 0.37/0.60 (define @t148 () (@list @t145)) % 0.37/0.60 (define @t149 () (forall @t148 (or (not (tptp.in @t145 @t56)) (tptp.subset @t145 @t56)))) % 0.37/0.60 (define @t150 () (tptp.subset @t145 @t41)) % 0.37/0.60 (define @t151 () (tptp.in @t145 @t41)) % 0.37/0.60 (define @t152 () (not @t151)) % 0.37/0.60 (define @t153 () (or @t152 @t150)) % 0.37/0.60 (define @t154 () (forall @t148 @t153)) % 0.37/0.60 (define @t155 () (or @t62 @t61)) % 0.37/0.60 (define @t156 () (or @t64 @t155)) % 0.37/0.60 (define @t157 () (forall @t66 @t156)) % 0.37/0.60 (define @t158 () (@list @t60)) % 0.37/0.60 (define @t159 () (forall @t158 @t156)) % 0.37/0.60 (define @t160 () (forall @t158 @t155)) % 0.37/0.60 (define @t161 () (or @t64 @t160)) % 0.37/0.60 (define @t162 () (forall @t38 (or (not (tptp.in @t32 @t3)) (tptp.subset @t32 @t3)))) % 0.37/0.60 (define @t163 () (not @t33)) % 0.37/0.60 (define @t164 () (or @t163 @t162)) % 0.37/0.60 (define @t165 () (_ @t99 @t3)) % 0.37/0.60 (define @t166 () (=> @t33 @t165)) % 0.37/0.60 (define @t167 () (forall @t26 @t166)) % 0.37/0.60 (define @t168 () (=> @t167 (_ @t99 @t41))) % 0.37/0.60 (define @t169 () (forall @t38 @t168)) % 0.37/0.60 (define @t170 () (=> tptp.transitivesetOp2 @t169)) % 0.37/0.60 (define @t171 () (=> tptp.subsetI1 @t170)) % 0.37/0.60 (define @t172 () (=> tptp.setunionE @t171)) % 0.37/0.60 (define @t173 () (=> tptp.setunionI @t172)) % 0.37/0.60 (define @t174 () (@quantifiers_skolemize @t71 0)) % 0.37/0.60 (define @t175 () (tptp.setunion @t174)) % 0.37/0.60 (define @t176 () (@quantifiers_skolemize @t71 1)) % 0.37/0.60 (define @t177 () (forall @t26 (or (not (tptp.in @t3 @t176)) (tptp.in @t3 @t175)))) % 0.37/0.60 (define @t178 () (@quantifiers_skolemize @t177 0)) % 0.37/0.60 (define @t179 () (forall @t15 (or (not (tptp.in @t176 @t6)) (not (tptp.in @t6 @t174))))) % 0.37/0.60 (define @t180 () (@quantifiers_skolemize @t179 0)) % 0.37/0.60 (define @t181 () (forall @t78 (or (not (tptp.in @t77 @t180)) (tptp.subset @t77 @t180)))) % 0.37/0.60 (define @t182 () (@quantifiers_skolemize @t181 0)) % 0.37/0.60 (define @t183 () (tptp.in @t182 @t180)) % 0.37/0.60 (define @t184 () (tptp.subset @t182 @t180)) % 0.37/0.60 (define @t185 () (not @t183)) % 0.37/0.60 (define @t186 () (or @t185 @t184)) % 0.37/0.60 (define @t187 () (tptp.in @t176 @t175)) % 0.37/0.60 (define @t188 () (tptp.subset @t176 @t175)) % 0.37/0.60 (define @t189 () (not @t187)) % 0.37/0.60 (define @t190 () (forall @t66 (or (not (tptp.in @t3 @t174)) @t62 @t61))) % 0.37/0.60 (define @t191 () (not @t190)) % 0.37/0.60 (define @t192 () (or @t191 @t189 @t188)) % 0.37/0.60 (define @t193 () (@list true)) % 0.37/0.60 (define @t194 () (@list @t192)) % 0.37/0.60 (define @t195 () (not @t179)) % 0.37/0.60 (define @t196 () (or @t189 @t195)) % 0.37/0.60 (define @t197 () (tptp.in @t180 @t174)) % 0.37/0.60 (define @t198 () (not @t197)) % 0.37/0.60 (define @t199 () (tptp.in @t176 @t180)) % 0.37/0.60 (define @t200 () (not @t199)) % 0.37/0.60 (define @t201 () (or @t200 @t198)) % 0.37/0.60 (define @t202 () (@list @t201)) % 0.37/0.60 (define @t203 () (or @t198 @t185 @t184)) % 0.37/0.60 (define @t204 () (not @t186)) % 0.37/0.60 (define @t205 () (not @t181)) % 0.37/0.60 (define @t206 () (not @t177)) % 0.37/0.60 (define @t207 () (or @t206 @t188)) % 0.37/0.60 (define @t208 () (@list true false)) % 0.37/0.60 (define @t209 () (tptp.in @t178 @t176)) % 0.37/0.60 (define @t210 () (tptp.in @t178 @t175)) % 0.37/0.60 (define @t211 () (not @t209)) % 0.37/0.60 (define @t212 () (or @t211 @t210)) % 0.37/0.60 (define @t213 () (@list @t212)) % 0.37/0.60 (define @t214 () (tptp.in @t178 @t180)) % 0.37/0.60 (define @t215 () (or @t205 @t200 @t211 @t214)) % 0.37/0.60 (define @t216 () (not @t214)) % 0.37/0.60 (define @t217 () (or @t216 @t198 @t210)) % 0.37/0.60 (define @t218 () (not @t217)) % 0.37/0.60 (define @t219 () (forall @t10 (or @t114 @t113 @t118))) % 0.37/0.60 (assume @p1 @t12) % 0.37/0.60 (assume @p2 @t23) % 0.37/0.60 (assume @p3 @t31) % 0.37/0.60 (assume @p4 @t40) % 0.37/0.60 (assume @p5 @t50) % 0.37/0.60 (assume @p6 true) % 0.37/0.60 (step @p7 (= tptp.transitiveset @t55) :rule refl :args (@t55)) % 0.37/0.60 (step @p8 :rule refl :args (@t71)) % 0.37/0.60 (step @p9 :rule aci_norm :args ((= @t82 (or @t80 @t76 @t75 @t73)))) % 0.37/0.60 (step @p10 :rule cong :premises (@p9) :args (@t83)) % 0.37/0.60 (step @p11 :rule quant-merge-prenex :args ((= (forall @t38 @t85) @t83))) % 0.37/0.60 (step @p12 :rule alpha_equiv :args (@t86 (@list @t74 @t72) (@list @t1 @t3))) % 0.37/0.60 (step @p13 :rule refl :args (@t80)) % 0.37/0.60 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t87)) % 0.37/0.60 (step @p15 :rule quant-miniscope-or :args ((= @t85 @t87))) % 0.37/0.60 (step @p16 :rule trans :premises (@p15 @p14)) % 0.37/0.60 (step @p17 :rule symm :premises (@p16)) % 0.37/0.60 (step @p18 :rule cong :premises (@p17) :args ((forall @t38 (or @t80 @t91)))) % 0.37/0.60 (step @p19 :rule trans :premises (@p18 @p11)) % 0.37/0.60 (step @p20 :rule trans :premises (@p19 @p10)) % 0.37/0.60 (step @p21 :rule bool-impl-elim :args (@t79 @t91)) % 0.37/0.60 (step @p22 :rule cong :premises (@p21) :args ((forall @t38 (=> @t79 @t91)))) % 0.37/0.60 (step @p23 :rule trans :premises (@p22 @p20)) % 0.37/0.60 (step @p24 :rule refl :args (@t63)) % 0.37/0.60 (step @p25 :rule refl :args (@t33)) % 0.37/0.60 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t33 @t63))) % 0.37/0.60 (step @p27 :rule symm :premises (@p26)) % 0.37/0.60 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.37/0.60 (step @p29 :rule refl :args (@t88)) % 0.37/0.60 (step @p30 :rule refl :args (@t25)) % 0.37/0.60 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t25 @t88))) % 0.37/0.60 (step @p32 :rule symm :premises (@p31)) % 0.37/0.60 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.60 (step @p34 :rule cong :premises (@p33) :args (@t92)) % 0.37/0.60 (step @p35 :rule refl :args (@t90)) % 0.37/0.60 (step @p36 :rule refl :args (@t35)) % 0.37/0.60 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t35 @t90))) % 0.37/0.60 (step @p38 :rule symm :premises (@p37)) % 0.37/0.60 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.37/0.60 (step @p40 :rule cong :premises (@p39) :args (@t93)) % 0.37/0.60 (step @p41 :rule nary_cong :premises (@p40 @p34 @p28) :args (@t94)) % 0.37/0.60 (step @p42 :rule cong :premises (@p41) :args ((forall @t21 @t94))) % 0.37/0.60 (step @p43 :rule aci_norm :args ((= (or @t93 (or @t92 @t33)) @t94))) % 0.37/0.60 (step @p44 :rule bool-impl-elim :args (@t25 @t33)) % 0.37/0.60 (step @p45 :rule refl :args (@t93)) % 0.37/0.60 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t93 @t34))) % 0.37/0.60 (step @p47 :rule trans :premises (@p46 @p43)) % 0.37/0.60 (step @p48 :rule bool-impl-elim :args (@t35 @t34)) % 0.37/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.60 (step @p50 :rule cong :premises (@p49) :args (@t36)) % 0.37/0.60 (step @p51 :rule trans :premises (@p50 @p42)) % 0.37/0.60 (step @p52 :rule beta-reduce :args ((= (_ (lambda @t54 (forall @t78 (or (not (tptp.in @t77 @t1)) (tptp.subset @t77 @t1)))) @t32) @t79))) % 0.37/0.60 (step @p53 :rule refl :args 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(@t44)) % 0.37/0.60 (step @p294 :rule cong :premises (@p293) :args (@t45)) % 0.37/0.60 (step @p295 :rule cong :premises (@p61 @p294) :args (@t46)) % 0.37/0.60 (step @p296 :rule cong :premises (@p115 @p295) :args (@t47)) % 0.37/0.60 (step @p297 :rule cong :premises (@p203 @p296) :args (@t48)) % 0.37/0.60 (step @p298 :rule cong :premises (@p217 @p297) :args (@t49)) % 0.37/0.60 (step @p299 :rule cong :premises (@p298) :args (@t50)) % 0.37/0.60 (step @p300 :rule trans :premises (@p299 @p286)) % 0.37/0.60 (step @p301 :rule trans :premises (@p300 @p221)) % 0.37/0.60 (step @p302 :rule eq_resolve :premises (@p5 @p301)) % 0.37/0.60 (step @p303 :rule not_implies_elim1 :premises (@p302)) % 0.37/0.60 (step @p304 :rule not_implies_elim2 :premises (@p302)) % 0.37/0.60 (step @p305 :rule not_implies_elim2 :premises (@p304)) % 0.37/0.60 (step @p306 :rule not_implies_elim2 :premises (@p305)) % 0.37/0.60 (step @p307 :rule not_implies_elim1 :premises (@p306)) % 0.37/0.60 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t180 @t176 @t178))) % 0.37/0.60 (step @p309 :rule bool-double-not-elim :args (@t183)) % 0.37/0.60 (step @p310 :rule refl :args (@t186)) % 0.37/0.60 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or @t186 (not @t185)))) % 0.37/0.60 (step @p312 :rule cnf_or_neg :args (@t186 0)) % 0.37/0.60 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 0.37/0.60 (step @p314 :rule reordering :premises (@p313) :args ((or @t183 @t186))) % 0.37/0.60 (step @p315 :rule cnf_or_neg :args (@t186 1)) % 0.37/0.60 (step @p316 :rule not_implies_elim1 :premises (@p304)) % 0.37/0.60 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t174 @t176))) % 0.37/0.60 (step @p318 :rule not_implies_elim2 :premises (@p306)) % 0.37/0.60 (step @p319 :rule skolemize :premises (@p318)) % 0.37/0.60 (step @p320 :rule bool-double-not-elim :args (@t187)) % 0.37/0.60 (step @p321 :rule refl :args (@t192)) % 0.37/0.60 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t192 (not @t189)))) % 0.37/0.60 (step @p323 :rule cnf_or_neg :args (@t192 1)) % 0.37/0.60 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 0.37/0.60 (step @p325 :rule reordering :premises (@p324) :args ((or @t187 @t192))) % 0.37/0.60 (step @p326 :rule chain_m_resolution :premises (@p325 @p319) :args (@t187 @t193 @t194)) % 0.37/0.60 (step @p327 :rule cnf_or_pos :args (@t196)) % 0.37/0.60 (step @p328 :rule reordering :premises (@p327) :args ((or @t189 @t195 (not @t196)))) % 0.37/0.60 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p317) :args (@t195 (@list false false) (@list @t187 @t196))) % 0.37/0.60 (step @p330 :rule skolemize :premises (@p329)) % 0.37/0.60 (step @p331 :rule bool-double-not-elim :args (@t197)) % 0.37/0.60 (step @p332 :rule refl :args (@t201)) % 0.37/0.60 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t201 (not @t198)))) % 0.37/0.60 (step @p334 :rule cnf_or_neg :args (@t201 1)) % 0.37/0.60 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.37/0.60 (step @p336 :rule reordering :premises (@p335) :args ((or @t197 @t201))) % 0.37/0.60 (step @p337 :rule chain_m_resolution :premises (@p336 @p330) :args (@t197 @t193 @t202)) % 0.37/0.60 (step @p338 :rule bool-double-not-elim :args (@t190)) % 0.37/0.60 (step @p339 :rule nary_cong :premises (@p321 @p338) :args ((or @t192 (not @t191)))) % 0.37/0.60 (step @p340 :rule cnf_or_neg :args (@t192 0)) % 0.37/0.60 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 0.37/0.60 (step @p342 :rule reordering :premises (@p341) :args ((or @t190 @t192))) % 0.37/0.60 (step @p343 :rule chain_m_resolution :premises (@p342 @p319) :args (@t190 @t193 @t194)) % 0.37/0.60 (step @p344 :rule instantiate :premises (@p343) :args ((@list @t180 @t182))) % 0.37/0.60 (step @p345 :rule cnf_or_pos :args (@t203)) % 0.37/0.60 (step @p346 :rule reordering :premises (@p345) :args ((or @t198 @t185 @t184 (not @t203)))) % 0.37/0.60 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p337 @p315 @p314) :args (@t186 (@list false false true false) (@list @t203 @t197 @t184 @t183))) % 0.37/0.60 (step @p348 :rule refl :args (@t204)) % 0.37/0.60 (step @p349 :rule bool-double-not-elim :args (@t181)) % 0.37/0.60 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or (not @t205) @t204))) % 0.37/0.60 (assume-push @p393 @t205) % 0.37/0.60 (step @p352 :rule skolemize :premises (@p393)) % 0.37/0.60 (step-pop @p394 :rule scope :premises (@p352)) % 0.37/0.60 (step @p353 :rule process_scope :premises (@p394) :args (@t204)) % 0.37/0.60 (step @p355 :rule implies_elim :premises (@p353)) % 0.37/0.60 (step @p356 :rule eq_resolve :premises (@p355 @p350)) % 0.37/0.60 (step @p357 :rule chain_m_resolution :premises (@p356 @p347) :args (@t181 (@list false) (@list @t186))) % 0.37/0.60 (step @p358 :rule not_implies_elim1 :premises (@p305)) % 0.37/0.60 (step @p359 :rule instantiate :premises (@p358) :args ((@list @t176 @t175))) % 0.37/0.60 (step @p360 :rule cnf_or_neg :args (@t192 2)) % 0.37/0.60 (step @p361 :rule chain_m_resolution :premises (@p360 @p319) :args ((not @t188) @t193 @t194)) % 0.37/0.60 (step @p362 :rule cnf_or_pos :args (@t207)) % 0.37/0.60 (step @p363 :rule reordering :premises (@p362) :args ((or @t188 @t206 (not @t207)))) % 0.37/0.60 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p359) :args (@t206 @t208 (@list @t188 @t207))) % 0.37/0.60 (step @p365 :rule skolemize :premises (@p364)) % 0.37/0.60 (step @p366 :rule bool-double-not-elim :args (@t209)) % 0.37/0.60 (step @p367 :rule refl :args (@t212)) % 0.37/0.60 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or @t212 (not @t211)))) % 0.37/0.60 (step @p369 :rule cnf_or_neg :args (@t212 0)) % 0.37/0.60 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.37/0.60 (step @p371 :rule reordering :premises (@p370) :args ((or @t209 @t212))) % 0.37/0.60 (step @p372 :rule chain_m_resolution :premises (@p371 @p365) :args (@t209 @t193 @t213)) % 0.37/0.60 (step @p373 :rule bool-double-not-elim :args (@t199)) % 0.37/0.60 (step @p374 :rule nary_cong :premises (@p332 @p373) :args ((or @t201 (not @t200)))) % 0.37/0.60 (step @p375 :rule cnf_or_neg :args (@t201 0)) % 0.37/0.60 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 0.37/0.60 (step @p377 :rule reordering :premises (@p376) :args ((or @t199 @t201))) % 0.37/0.60 (step @p378 :rule chain_m_resolution :premises (@p377 @p330) :args (@t199 @t193 @t202)) % 0.37/0.60 (step @p379 :rule cnf_or_pos :args (@t215)) % 0.37/0.60 (step @p380 :rule reordering :premises (@p379) :args ((or @t200 @t211 @t205 @t214 (not @t215)))) % 0.37/0.60 (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p372 @p357 @p308) :args (@t214 (@list false false false false) (@list @t199 @t209 @t181 @t215))) % 0.37/0.60 (step @p382 :rule cnf_or_neg :args (@t212 1)) % 0.37/0.60 (step @p383 :rule chain_m_resolution :premises (@p382 @p365) :args ((not @t210) @t193 @t213)) % 0.37/0.60 (step @p384 :rule cnf_or_pos :args (@t217)) % 0.37/0.60 (step @p385 :rule reordering :premises (@p384) :args ((or @t198 @t210 @t216 @t218))) % 0.37/0.60 (step @p386 :rule chain_m_resolution :premises (@p385 @p337 @p383 @p381) :args (@t218 (@list false true false) (@list @t197 @t210 @t214))) % 0.37/0.60 (assume-push @p395 @t219) % 0.37/0.60 (step @p388 :rule instantiate :premises (@p303) :args ((@list @t174 @t178 @t180))) % 0.37/0.60 (step-pop @p396 :rule scope :premises (@p388)) % 0.37/0.60 (step @p389 :rule process_scope :premises (@p396) :args (@t217)) % 0.37/0.60 (step @p391 :rule implies_elim :premises (@p389)) % 0.37/0.60 (step @p392 false :rule chain_m_resolution :premises (@p391 @p386 @p303) :args (false @t208 (@list @t217 @t219))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------