%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU136+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:50:40 AM UTC 2026 % Result : Theorem 44.64s 44.87s % Output : Proof 44.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU136+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Tue Jun 2 16:32:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 44.64/44.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 44.64/44.87 --- Run --no-e-matching --full-saturate-quant at 6... % 44.64/44.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 44.64/44.87 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 44.64/44.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.64/44.87 % SZS status Theorem % 44.64/44.87 % SZS output start Proof % 44.64/44.87 ( % 44.64/44.87 (declare-sort $$unsorted 0) % 44.64/44.87 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 44.64/44.87 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 44.64/44.87 (declare-const tptp.empty_set $$unsorted) % 44.64/44.87 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 44.64/44.87 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 44.64/44.87 (declare-const tptp.empty (-> $$unsorted Bool)) % 44.64/44.87 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 44.64/44.87 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 44.64/44.87 (define @t1 () (@var "A" $$unsorted)) % 44.64/44.87 (define @t2 () (@var "B" $$unsorted)) % 44.64/44.87 (define @t3 () (not (tptp.in @t2 @t1))) % 44.64/44.87 (define @t4 () (tptp.in @t1 @t2)) % 44.64/44.87 (define @t5 () (@list @t1 @t2)) % 44.64/44.87 (define @t6 () (tptp.set_union2 @t2 @t1)) % 44.64/44.87 (define @t7 () (tptp.set_union2 @t1 @t2)) % 44.64/44.87 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 44.64/44.87 (define @t9 () (tptp.subset @t1 @t2)) % 44.64/44.87 (define @t10 () (= @t1 @t2)) % 44.64/44.87 (define @t11 () (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 44.64/44.87 (define @t12 () (= @t1 tptp.empty_set)) % 44.64/44.87 (define @t13 () (@list @t1)) % 44.64/44.87 (define @t14 () (@var "D" $$unsorted)) % 44.64/44.87 (define @t15 () (tptp.in @t14 @t2)) % 44.64/44.87 (define @t16 () (tptp.in @t14 @t1)) % 44.64/44.87 (define @t17 () (@var "C" $$unsorted)) % 44.64/44.87 (define @t18 () (tptp.in @t14 @t17)) % 44.64/44.87 (define @t19 () (@list @t14)) % 44.64/44.87 (define @t20 () (@list @t1 @t2 @t17)) % 44.64/44.87 (define @t21 () (tptp.in @t17 @t2)) % 44.64/44.87 (define @t22 () (tptp.in @t17 @t1)) % 44.64/44.87 (define @t23 () (@list @t17)) % 44.64/44.87 (define @t24 () (forall @t23 (=> @t22 @t21))) % 44.64/44.87 (define @t25 () (= @t9 @t24)) % 44.64/44.87 (define @t26 () (forall @t5 @t25)) % 44.64/44.87 (define @t27 () (tptp.set_difference @t1 @t2)) % 44.64/44.87 (define @t28 () (forall @t20 (= (= @t17 @t27) (forall @t19 (= @t18 (and @t16 (not @t15))))))) % 44.64/44.87 (define @t29 () (tptp.disjoint @t1 @t2)) % 44.64/44.87 (define @t30 () (tptp.empty @t1)) % 44.64/44.87 (define @t31 () (not @t30)) % 44.64/44.87 (define @t32 () (=> @t9 (= @t7 @t2))) % 44.64/44.87 (define @t33 () (forall @t5 @t32)) % 44.64/44.87 (define @t34 () (tptp.set_intersection2 @t2 @t17)) % 44.64/44.87 (define @t35 () (tptp.subset @t1 @t17)) % 44.64/44.87 (define @t36 () (tptp.subset (tptp.set_difference @t1 @t17) (tptp.set_difference @t2 @t17))) % 44.64/44.87 (define @t37 () (forall @t20 (=> @t9 @t36))) % 44.64/44.87 (define @t38 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 44.64/44.87 (define @t39 () (forall @t5 (= @t38 @t7))) % 44.64/44.87 (define @t40 () (and @t22 @t21)) % 44.64/44.87 (define @t41 () (not @t29)) % 44.64/44.87 (define @t42 () (tptp.set_difference @t7 @t2)) % 44.64/44.87 (define @t43 () (forall @t5 (= @t42 @t27))) % 44.64/44.87 (define @t44 () (not @t43)) % 44.64/44.87 (define @t45 () (tptp.in @t17 @t8)) % 44.64/44.87 (define @t46 () (tptp.empty @t2)) % 44.64/44.87 (define @t47 () (tptp.subset (tptp.set_union2 @t1 @t17) @t2)) % 44.64/44.87 (define @t48 () (tptp.subset @t17 @t2)) % 44.64/44.87 (define @t49 () (and @t9 @t48)) % 44.64/44.87 (define @t50 () (forall @t20 (=> @t49 @t47))) % 44.64/44.87 (define @t51 () (forall @t5 (= @t27 @t42))) % 44.64/44.87 (define @t52 () (@quantifiers_skolemize @t51 1)) % 44.64/44.87 (define @t53 () (@quantifiers_skolemize @t51 0)) % 44.64/44.87 (define @t54 () (tptp.set_difference @t53 @t52)) % 44.64/44.87 (define @t55 () (tptp.in @t14 @t54)) % 44.64/44.87 (define @t56 () (tptp.set_union2 @t53 @t52)) % 44.64/44.87 (define @t57 () (tptp.set_difference @t56 @t52)) % 44.64/44.87 (define @t58 () (tptp.in @t14 @t57)) % 44.64/44.87 (define @t59 () (tptp.set_difference @t57 @t54)) % 44.64/44.87 (define @t60 () (tptp.in @t14 @t59)) % 44.64/44.87 (define @t61 () (forall @t19 (= @t60 (and @t58 (not @t55))))) % 44.64/44.87 (define @t62 () (= (= @t59 @t59) @t61)) % 44.64/44.87 (define @t63 () (@list false)) % 44.64/44.87 (define @t64 () (@list @t28)) % 44.64/44.87 (define @t65 () (tptp.set_difference @t56 @t59)) % 44.64/44.87 (define @t66 () (tptp.in @t17 @t65)) % 44.64/44.87 (define @t67 () (not (tptp.in @t17 @t53))) % 44.64/44.87 (define @t68 () (forall @t23 (or @t67 @t66))) % 44.64/44.87 (define @t69 () (@quantifiers_skolemize @t68 0)) % 44.64/44.87 (define @t70 () (@list @t69)) % 44.64/44.87 (define @t71 () (@list @t53 @t52)) % 44.64/44.87 (define @t72 () (tptp.in @t17 @t56)) % 44.64/44.87 (define @t73 () (forall @t23 (or @t67 @t72))) % 44.64/44.87 (define @t74 () (tptp.subset @t53 @t56)) % 44.64/44.87 (define @t75 () (= @t74 @t73)) % 44.64/44.87 (define @t76 () (not @t74)) % 44.64/44.87 (define @t77 () (@list false false)) % 44.64/44.87 (define @t78 () (not @t48)) % 44.64/44.87 (define @t79 () (not @t9)) % 44.64/44.87 (define @t80 () (not (tptp.in @t17 @t52))) % 44.64/44.87 (define @t81 () (forall @t23 (or @t80 @t66))) % 44.64/44.87 (define @t82 () (@quantifiers_skolemize @t81 0)) % 44.64/44.87 (define @t83 () (tptp.in @t82 @t52)) % 44.64/44.87 (define @t84 () (tptp.in @t82 @t65)) % 44.64/44.87 (define @t85 () (not @t83)) % 44.64/44.87 (define @t86 () (or @t85 @t84)) % 44.64/44.87 (define @t87 () (tptp.in @t82 @t56)) % 44.64/44.87 (define @t88 () (and @t87 @t85)) % 44.64/44.87 (define @t89 () (tptp.subset @t52 @t56)) % 44.64/44.87 (define @t90 () (forall @t23 (or @t80 @t72))) % 44.64/44.87 (define @t91 () (= @t89 @t90)) % 44.64/44.87 (define @t92 () (@list @t82)) % 44.64/44.87 (define @t93 () (or @t85 @t87)) % 44.64/44.87 (define @t94 () (tptp.in @t14 @t56)) % 44.64/44.87 (define @t95 () (forall @t19 (= (tptp.in @t14 @t65) (and @t94 (not @t60))))) % 44.64/44.87 (define @t96 () (= (= @t65 @t65) @t95)) % 44.64/44.87 (define @t97 () (tptp.in @t82 @t59)) % 44.64/44.87 (define @t98 () (not @t97)) % 44.64/44.87 (define @t99 () (and @t87 @t98)) % 44.64/44.87 (define @t100 () (= @t84 @t99)) % 44.64/44.87 (define @t101 () (not (tptp.in @t14 @t52))) % 44.64/44.87 (define @t102 () (forall @t19 (= @t58 (and @t94 @t101)))) % 44.64/44.87 (define @t103 () (= (= @t57 @t57) @t102)) % 44.64/44.87 (define @t104 () (tptp.in @t82 @t57)) % 44.64/44.87 (define @t105 () (= @t104 @t88)) % 44.64/44.87 (define @t106 () (not @t87)) % 44.64/44.87 (define @t107 () (and @t104 (not (tptp.in @t82 @t54)))) % 44.64/44.87 (define @t108 () (= @t97 @t107)) % 44.64/44.87 (define @t109 () (not @t86)) % 44.64/44.87 (define @t110 () (not @t81)) % 44.64/44.87 (define @t111 () (tptp.subset @t52 @t65)) % 44.64/44.87 (define @t112 () (= @t111 @t81)) % 44.64/44.87 (define @t113 () (= @t56 @t65)) % 44.64/44.87 (define @t114 () (tptp.subset @t56 @t65)) % 44.64/44.87 (define @t115 () (tptp.subset @t65 @t56)) % 44.64/44.87 (define @t116 () (and @t115 @t114)) % 44.64/44.87 (define @t117 () (= (= @t65 @t56) @t116)) % 44.64/44.87 (define @t118 () (= @t116 @t113)) % 44.64/44.87 (define @t119 () (@list @t11)) % 44.64/44.87 (define @t120 () (not (tptp.in @t17 @t59))) % 44.64/44.87 (define @t121 () (forall @t23 (or @t120 (tptp.in @t17 @t54)))) % 44.64/44.87 (define @t122 () (@quantifiers_skolemize @t121 0)) % 44.64/44.87 (define @t123 () (@list @t122)) % 44.64/44.87 (define @t124 () (@list @t54 @t57)) % 44.64/44.87 (define @t125 () (tptp.subset @t57 @t54)) % 44.64/44.87 (define @t126 () (tptp.subset @t54 @t57)) % 44.64/44.87 (define @t127 () (and @t126 @t125)) % 44.64/44.87 (define @t128 () (= @t54 @t57)) % 44.64/44.87 (define @t129 () (= @t128 @t127)) % 44.64/44.87 (define @t130 () (not @t127)) % 44.64/44.87 (define @t131 () (@list true false)) % 44.64/44.87 (define @t132 () (or @t76 @t126)) % 44.64/44.87 (define @t133 () (not @t126)) % 44.64/44.87 (define @t134 () (not @t125)) % 44.64/44.87 (define @t135 () (@list false true)) % 44.64/44.87 (define @t136 () (= @t2 @t7)) % 44.64/44.87 (define @t137 () (= @t57 (tptp.set_union2 @t54 @t57))) % 44.64/44.87 (define @t138 () (or @t133 @t137)) % 44.64/44.87 (define @t139 () (tptp.subset (tptp.set_union2 @t54 @t59) @t54)) % 44.64/44.87 (define @t140 () (tptp.subset @t53 @t53)) % 44.64/44.87 (define @t141 () (and @t140 @t140)) % 44.64/44.87 (define @t142 () (= (= @t53 @t53) @t141)) % 44.64/44.87 (define @t143 () (tptp.subset @t54 @t54)) % 44.64/44.87 (define @t144 () (not @t140)) % 44.64/44.87 (define @t145 () (or @t144 @t143)) % 44.64/44.87 (define @t146 () (tptp.subset @t59 @t54)) % 44.64/44.87 (define @t147 () (not @t146)) % 44.64/44.87 (define @t148 () (not @t143)) % 44.64/44.87 (define @t149 () (or @t148 @t147 @t139)) % 44.64/44.87 (define @t150 () (= @t146 @t121)) % 44.64/44.87 (define @t151 () (not @t121)) % 44.64/44.87 (define @t152 () (tptp.in @t122 @t59)) % 44.64/44.87 (define @t153 () (not @t152)) % 44.64/44.87 (define @t154 () (or @t153 (tptp.in @t122 @t54))) % 44.64/44.87 (define @t155 () (@list true)) % 44.64/44.87 (define @t156 () (tptp.in @t122 @t56)) % 44.64/44.87 (define @t157 () (and @t156 @t153)) % 44.64/44.87 (define @t158 () (not @t157)) % 44.64/44.87 (define @t159 () (tptp.in @t122 @t65)) % 44.64/44.87 (define @t160 () (= @t159 @t157)) % 44.64/44.87 (define @t161 () (not @t159)) % 44.64/44.87 (define @t162 () (forall @t23 (or @t120 (tptp.in @t17 @t57)))) % 44.64/44.87 (define @t163 () (tptp.subset @t59 @t57)) % 44.64/44.87 (define @t164 () (= @t163 @t162)) % 44.64/44.87 (define @t165 () (tptp.in @t122 @t57)) % 44.64/44.87 (define @t166 () (or @t153 @t165)) % 44.64/44.87 (define @t167 () (and @t156 (not (tptp.in @t122 @t52)))) % 44.64/44.87 (define @t168 () (= @t165 @t167)) % 44.64/44.87 (define @t169 () (not @t113)) % 44.64/44.87 (define @t170 () (not @t156)) % 44.64/44.87 (define @t171 () (not @t116)) % 44.64/44.87 (define @t172 () (not @t114)) % 44.64/44.87 (define @t173 () (not @t111)) % 44.64/44.87 (define @t174 () (tptp.subset @t53 @t65)) % 44.64/44.87 (define @t175 () (not @t174)) % 44.64/44.87 (define @t176 () (or @t175 @t173 @t114)) % 44.64/44.87 (define @t177 () (= @t174 @t68)) % 44.64/44.87 (define @t178 () (not @t68)) % 44.64/44.87 (define @t179 () (tptp.in @t69 @t65)) % 44.64/44.87 (define @t180 () (tptp.in @t69 @t53)) % 44.64/44.87 (define @t181 () (not @t180)) % 44.64/44.87 (define @t182 () (or @t181 @t179)) % 44.64/44.87 (define @t183 () (not @t182)) % 44.64/44.87 (define @t184 () (@list @t182)) % 44.64/44.87 (define @t185 () (tptp.in @t69 @t56)) % 44.64/44.87 (define @t186 () (or @t181 @t185)) % 44.64/44.87 (define @t187 () (tptp.in @t69 @t59)) % 44.64/44.87 (define @t188 () (not @t187)) % 44.64/44.87 (define @t189 () (and @t185 @t188)) % 44.64/44.87 (define @t190 () (= @t179 @t189)) % 44.64/44.87 (define @t191 () (not @t189)) % 44.64/44.87 (define @t192 () (not @t185)) % 44.64/44.87 (define @t193 () (tptp.in @t69 @t54)) % 44.64/44.87 (define @t194 () (not @t193)) % 44.64/44.87 (define @t195 () (and (tptp.in @t69 @t57) @t194)) % 44.64/44.87 (define @t196 () (= @t187 @t195)) % 44.64/44.87 (define @t197 () (forall @t19 (= @t55 (and (tptp.in @t14 @t53) @t101)))) % 44.64/44.87 (define @t198 () (= (= @t54 @t54) @t197)) % 44.64/44.87 (define @t199 () (tptp.in @t69 @t52)) % 44.64/44.87 (define @t200 () (not @t199)) % 44.64/44.87 (define @t201 () (or @t200 @t179)) % 44.64/44.87 (define @t202 () (and @t180 @t200)) % 44.64/44.87 (define @t203 () (= @t193 @t202)) % 44.64/44.87 (assume @p1 (forall @t5 (=> @t4 @t3))) % 44.64/44.87 (assume @p2 (forall @t5 (= @t7 @t6))) % 44.64/44.87 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 44.64/44.87 (assume @p4 @t11) % 44.64/44.87 (assume @p5 (forall @t13 (= @t12 (forall (@list @t2) @t3)))) % 44.64/44.87 (assume @p6 (forall @t20 (= (= @t17 @t7) (forall @t19 (= @t18 (or @t16 @t15)))))) % 44.64/44.87 (assume @p7 @t26) % 44.64/44.87 (assume @p8 (forall @t20 (= (= @t17 @t8) (forall @t19 (= @t18 (and @t16 @t15)))))) % 44.64/44.87 (assume @p9 @t28) % 44.64/44.87 (assume @p10 (forall @t5 (= @t29 (= @t8 tptp.empty_set)))) % 44.64/44.87 (assume @p11 true) % 44.64/44.87 (assume @p12 (tptp.empty tptp.empty_set)) % 44.64/44.87 (assume @p13 (forall @t5 (=> @t31 (not (tptp.empty @t7))))) % 44.64/44.87 (assume @p14 (forall @t5 (=> @t31 (not (tptp.empty @t6))))) % 44.64/44.87 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 44.64/44.87 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 44.64/44.87 (assume @p17 (forall @t5 (= (= @t27 tptp.empty_set) @t9))) % 44.64/44.87 (assume @p18 (exists @t13 @t30)) % 44.64/44.87 (assume @p19 (exists @t13 @t31)) % 44.64/44.87 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 44.64/44.87 (assume @p21 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 44.64/44.87 (assume @p22 @t33) % 44.64/44.87 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 44.64/44.87 (assume @p24 (forall @t20 (=> (and @t9 @t35) (tptp.subset @t1 @t34)))) % 44.64/44.87 (assume @p25 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 44.64/44.87 (assume @p26 (forall @t20 (=> (and @t9 (tptp.subset @t2 @t17)) @t35))) % 44.64/44.87 (assume @p27 (forall @t20 (=> @t9 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t34)))) % 44.64/44.87 (assume @p28 (forall @t5 (=> @t9 (= @t8 @t1)))) % 44.64/44.87 (assume @p29 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 44.64/44.87 (assume @p30 (forall @t5 (=> (forall @t23 (= @t22 @t21)) @t10))) % 44.64/44.87 (assume @p31 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 44.64/44.87 (assume @p32 @t37) % 44.64/44.87 (assume @p33 (forall @t5 (tptp.subset @t27 @t1))) % 44.64/44.87 (assume @p34 @t39) % 44.64/44.87 (assume @p35 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 44.64/44.87 (assume @p36 (forall @t5 (and (not (and @t41 (forall @t23 (not @t40)))) (not (and (exists @t23 @t40) @t29))))) % 44.64/44.87 (assume @p37 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t12))) % 44.64/44.87 (assume @p38 @t44) % 44.64/44.87 (assume @p39 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 44.64/44.87 (assume @p40 (forall @t5 (and (not (and @t41 (forall @t23 (not @t45)))) (not (and (exists @t23 @t45) @t29))))) % 44.64/44.87 (assume @p41 (forall @t13 (=> @t30 @t12))) % 44.64/44.87 (assume @p42 (forall @t5 (not (and @t4 @t46)))) % 44.64/44.87 (assume @p43 (forall @t5 (tptp.subset @t1 @t7))) % 44.64/44.87 (assume @p44 (forall @t5 (not (and @t30 (not @t10) @t46)))) % 44.64/44.87 (assume @p45 @t50) % 44.64/44.87 (step @p46 :rule bool-eq-true :args (@t61)) % 44.64/44.87 (step @p47 :rule eq-symm :args (true @t61)) % 44.64/44.87 (step @p48 :rule trans :premises (@p47 @p46)) % 44.64/44.87 (step @p49 :rule refl :args (@t61)) % 44.64/44.87 (step @p50 :rule eq-refl :args (@t59)) % 44.64/44.87 (step @p51 :rule cong :premises (@p50 @p49) :args (@t62)) % 44.64/44.87 (step @p52 :rule trans :premises (@p51 @p48)) % 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:premises (@p265 @p263) :args (@t158 @t63 (@list @t152))) % 44.64/44.87 (step @p267 :rule cnf_equiv_pos1 :args (@t160)) % 44.64/44.87 (step @p268 :rule reordering :premises (@p267) :args ((or @t157 @t161 (not @t160)))) % 44.64/44.87 (step @p269 :rule chain_m_resolution :premises (@p268 @p266 @p186) :args (@t161 @t131 (@list @t157 @t160))) % 44.64/44.87 (step @p270 :rule instantiate :premises (@p142) :args (@t123)) % 44.64/44.87 (step @p271 :rule instantiate :premises (@p68) :args ((@list @t59 @t57))) % 44.64/44.87 (step @p272 :rule instantiate :premises (@p33) :args ((@list @t57 @t54))) % 44.64/44.87 (step @p273 :rule cnf_equiv_pos1 :args (@t164)) % 44.64/44.87 (step @p274 :rule reordering :premises (@p273) :args ((or (not @t163) @t162 (not @t164)))) % 44.64/44.87 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p271) :args (@t162 @t77 (@list @t163 @t164))) % 44.64/44.87 (step @p276 :rule instantiate :premises (@p275) :args (@t123)) % 44.64/44.87 (step @p277 :rule cnf_or_pos :args (@t166)) % 44.64/44.87 (step @p278 :rule reordering :premises (@p277) :args ((or @t153 @t165 (not @t166)))) % 44.64/44.87 (step @p279 :rule chain_m_resolution :premises (@p278 @p263 @p276) :args (@t165 @t77 (@list @t152 @t166))) % 44.64/44.88 (step @p280 :rule cnf_equiv_pos1 :args (@t168)) % 44.64/44.88 (step @p281 :rule reordering :premises (@p280) :args ((or (not @t165) @t167 (not @t168)))) % 44.64/44.88 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p270) :args (@t167 @t77 (@list @t165 @t168))) % 44.64/44.88 (step @p283 :rule cnf_and_pos :args (@t167 0)) % 44.64/44.88 (step @p284 :rule reordering :premises (@p283) :args ((or @t156 (not @t167)))) % 44.64/44.88 (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t156 @t63 (@list @t167))) % 44.64/44.88 (step @p286 :rule bool-double-not-elim :args (@t159)) % 44.64/44.88 (step @p287 :rule refl :args (@t169)) % 44.64/44.88 (step @p288 :rule refl :args (@t170)) % 44.64/44.88 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args ((or @t170 @t169 (not @t161)))) % 44.64/44.88 (assume-push @p410 @t156) % 44.64/44.88 (assume-push @p411 @t113) % 44.64/44.88 (assume-push @p412 @t161) % 44.64/44.88 (step @p293 :rule evaluate :args ((= false true))) % 44.64/44.88 (step @p294 :rule true_intro :premises (@p285)) % 44.64/44.88 (step @p295 :rule symm :premises (@p411)) % 44.64/44.88 (step @p296 :rule refl :args (@t122)) % 44.64/44.88 (step @p297 :rule cong :premises (@p296 @p295) :args (@t159)) % 44.64/44.88 (step @p298 :rule false_intro :premises (@p269)) % 44.64/44.88 (step @p299 :rule symm :premises (@p298)) % 44.64/44.88 (step @p300 :rule trans :premises (@p299 @p297 @p294)) % 44.64/44.88 (step @p301 false :rule eq_resolve :premises (@p300 @p293)) % 44.64/44.88 (step-pop @p413 :rule scope :premises (@p301)) % 44.64/44.88 (step-pop @p414 :rule scope :premises (@p413)) % 44.64/44.88 (step-pop @p415 :rule scope :premises (@p414)) % 44.64/44.88 (step @p302 :rule process_scope 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44.64/44.88 (step @p317 :rule reordering :premises (@p316) :args ((or @t114 @t175 @t173 (not @t176)))) % 44.64/44.88 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p171 @p85) :args (@t175 (@list true false false) (@list @t114 @t111 @t176))) % 44.64/44.88 (step @p319 :rule cnf_equiv_pos2 :args (@t177)) % 44.64/44.88 (step @p320 :rule reordering :premises (@p319) :args ((or @t174 @t178 (not @t177)))) % 44.64/44.88 (step @p321 :rule chain_m_resolution :premises (@p320 @p318 @p75) :args (@t178 @t131 (@list @t174 @t177))) % 44.64/44.88 (step @p322 :rule refl :args (@t183)) % 44.64/44.88 (step @p323 :rule bool-double-not-elim :args (@t68)) % 44.64/44.88 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or (not @t178) @t183))) % 44.64/44.88 (assume-push @p416 @t178) % 44.64/44.88 (step @p326 :rule skolemize :premises (@p416)) % 44.64/44.88 (step-pop @p417 :rule scope :premises (@p326)) % 44.64/44.88 (step @p327 :rule process_scope :premises (@p417) :args (@t183)) % 44.64/44.88 (step @p329 :rule implies_elim :premises (@p327)) % 44.64/44.88 (step @p330 :rule eq_resolve :premises (@p329 @p324)) % 44.64/44.88 (step @p331 :rule chain_m_resolution :premises (@p330 @p321) :args (@t183 @t155 (@list @t68))) % 44.64/44.88 (step @p332 :rule bool-double-not-elim :args (@t180)) % 44.64/44.88 (step @p333 :rule refl :args (@t182)) % 44.64/44.88 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t182 (not @t181)))) % 44.64/44.88 (step @p335 :rule cnf_or_neg :args (@t182 0)) % 44.64/44.88 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 44.64/44.88 (step @p337 :rule reordering :premises (@p336) :args ((or @t180 @t182))) % 44.64/44.88 (step @p338 :rule chain_m_resolution :premises (@p337 @p331) :args (@t180 @t155 @t184)) % 44.64/44.88 (step @p339 :rule cnf_or_pos :args (@t186)) % 44.64/44.88 (step @p340 :rule reordering :premises (@p339) :args ((or @t181 @t185 (not @t186)))) % 44.64/44.88 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p74) :args (@t185 @t77 (@list @t180 @t186))) % 44.64/44.88 (step @p342 :rule instantiate :premises (@p124) :args (@t70)) % 44.64/44.88 (step @p343 :rule cnf_or_neg :args (@t182 1)) % 44.64/44.88 (step @p344 :rule chain_m_resolution :premises (@p343 @p331) :args ((not @t179) @t155 @t184)) % 44.64/44.88 (step @p345 :rule cnf_equiv_pos2 :args (@t190)) % 44.64/44.88 (step @p346 :rule reordering :premises (@p345) :args ((or @t179 @t191 (not @t190)))) % 44.64/44.88 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p342) :args (@t191 @t131 (@list @t179 @t190))) % 44.64/44.88 (step @p348 :rule bool-double-not-elim :args (@t187)) % 44.64/44.88 (step @p349 :rule refl :args (@t192)) % 44.64/44.88 (step @p350 :rule refl :args (@t189)) % 44.64/44.88 (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args ((or @t189 @t192 (not @t188)))) % 44.64/44.88 (step @p352 :rule cnf_and_neg :args (@t189)) % 44.64/44.88 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 44.64/44.88 (step @p354 :rule reordering :premises (@p353) :args ((or @t187 @t189 @t192))) % 44.64/44.88 (step @p355 :rule chain_m_resolution :premises (@p354 @p347 @p341) :args (@t187 @t131 (@list @t189 @t185))) % 44.64/44.88 (step @p356 :rule cnf_equiv_pos1 :args (@t196)) % 44.64/44.88 (step @p357 :rule reordering :premises (@p356) :args ((or @t195 @t188 (not @t196)))) % 44.64/44.88 (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p62) :args (@t195 @t77 (@list @t187 @t196))) % 44.64/44.88 (step @p359 :rule bool-eq-true :args (@t197)) % 44.64/44.88 (step @p360 :rule eq-symm :args (true @t197)) % 44.64/44.88 (step @p361 :rule trans :premises (@p360 @p359)) % 44.64/44.88 (step @p362 :rule refl :args (@t197)) % 44.64/44.88 (step @p363 :rule eq-refl :args (@t54)) % 44.64/44.88 (step @p364 :rule cong :premises (@p363 @p362) :args (@t198)) % 44.64/44.88 (step @p365 :rule trans :premises (@p364 @p361)) % 44.64/44.88 (step @p366 :rule cong :premises (@p53 @p365) :args ((=> @t28 @t198))) % 44.64/44.88 (assume-push @p418 @t28) % 44.64/44.88 (step @p368 :rule instantiate :premises (@p9) :args ((@list @t53 @t52 @t54))) % 44.64/44.88 (step-pop @p419 :rule scope :premises (@p368)) % 44.64/44.88 (step @p369 :rule process_scope :premises (@p419) :args (@t198)) % 44.64/44.88 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 44.64/44.88 (step @p372 :rule implies_elim :premises (@p371)) % 44.64/44.88 (step @p373 :rule chain_m_resolution :premises (@p372 @p9) :args (@t197 @t63 @t64)) % 44.64/44.88 (step @p374 :rule instantiate :premises (@p373) :args (@t70)) % 44.64/44.88 (assume-push @p420 @t81) % 44.64/44.88 (step @p376 :rule instantiate :premises (@p420) :args (@t70)) % 44.64/44.88 (step-pop @p421 :rule scope :premises (@p376)) % 44.64/44.88 (step @p377 :rule process_scope :premises (@p421) :args (@t201)) % 44.64/44.88 (step @p379 :rule implies_elim :premises (@p377)) % 44.64/44.88 (step @p380 :rule chain_m_resolution :premises (@p379 @p168) :args (@t201 @t63 (@list @t81))) % 44.64/44.88 (step @p381 :rule cnf_or_pos :args (@t201)) % 44.64/44.88 (step @p382 :rule reordering :premises (@p381) :args ((or @t179 @t200 (not @t201)))) % 44.64/44.88 (step @p383 :rule chain_m_resolution :premises (@p382 @p344 @p380) :args (@t200 @t131 (@list @t179 @t201))) % 44.64/44.88 (step @p384 :rule bool-double-not-elim :args (@t199)) % 44.64/44.88 (step @p385 :rule refl :args (@t181)) % 44.64/44.88 (step @p386 :rule refl :args (@t202)) % 44.64/44.88 (step @p387 :rule nary_cong :premises (@p386 @p385 @p384) :args ((or @t202 @t181 (not @t200)))) % 44.64/44.88 (step @p388 :rule cnf_and_neg :args (@t202)) % 44.64/44.88 (step @p389 :rule eq_resolve :premises (@p388 @p387)) % 44.64/44.88 (step @p390 :rule reordering :premises (@p389) :args ((or @t181 @t199 @t202))) % 44.64/44.88 (step @p391 :rule chain_m_resolution :premises (@p390 @p338 @p383) :args (@t202 @t135 (@list @t180 @t199))) % 44.64/44.88 (step @p392 :rule cnf_equiv_pos2 :args (@t203)) % 44.64/44.88 (step @p393 :rule reordering :premises (@p392) :args ((or @t193 (not @t202) (not @t203)))) % 44.64/44.89 (step @p394 :rule chain_m_resolution :premises (@p393 @p391 @p374) :args (@t193 @t77 (@list @t202 @t203))) % 44.64/44.89 (step @p395 :rule cnf_and_pos :args (@t195 1)) % 44.64/44.89 (step @p396 :rule reordering :premises (@p395) :args ((or @t194 (not @t195)))) % 44.64/44.89 (step @p397 false :rule chain_m_resolution :premises (@p396 @p394 @p358) :args (false @t77 (@list @t193 @t195))) % 44.64/44.89 ) % 44.64/44.89 % SZS output end Proof % 44.64/44.89 % cvc5 exiting %------------------------------------------------------------------------------