%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU339+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:51:26 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU339+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 16:58:47 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.empty_set $$unsorted) % 0.45/0.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.45/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.64 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.64 (define @t3 () (tptp.in @t1 @t2)) % 0.45/0.64 (define @t4 () (@list @t1 @t2)) % 0.45/0.64 (define @t5 () (@var "C" $$unsorted)) % 0.45/0.64 (define @t6 () (tptp.relation @t5)) % 0.45/0.64 (define @t7 () (tptp.cartesian_product2 @t1 @t2)) % 0.45/0.64 (define @t8 () (tptp.element @t5 (tptp.powerset @t7))) % 0.45/0.64 (define @t9 () (@list @t1 @t2 @t5)) % 0.45/0.64 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.45/0.64 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.45/0.64 (define @t12 () (@var "D" $$unsorted)) % 0.45/0.64 (define @t13 () (= @t5 @t12)) % 0.45/0.64 (define @t14 () (tptp.ordered_pair @t12 @t5)) % 0.45/0.64 (define @t15 () (tptp.in @t14 @t1)) % 0.45/0.64 (define @t16 () (tptp.ordered_pair @t5 @t12)) % 0.45/0.64 (define @t17 () (tptp.in @t16 @t1)) % 0.45/0.64 (define @t18 () (tptp.in @t12 @t2)) % 0.45/0.64 (define @t19 () (tptp.in @t5 @t2)) % 0.45/0.64 (define @t20 () (and @t19 @t18 @t17 @t15)) % 0.45/0.64 (define @t21 () (@list @t5 @t12)) % 0.45/0.64 (define @t22 () (forall @t21 (=> @t20 @t13))) % 0.45/0.64 (define @t23 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.45/0.64 (define @t24 () (= @t23 @t22)) % 0.45/0.64 (define @t25 () (@list @t2)) % 0.45/0.64 (define @t26 () (forall @t25 @t24)) % 0.45/0.64 (define @t27 () (tptp.relation @t1)) % 0.45/0.64 (define @t28 () (=> @t27 @t26)) % 0.45/0.64 (define @t29 () (@list @t1)) % 0.45/0.64 (define @t30 () (forall @t29 @t28)) % 0.45/0.64 (define @t31 () (tptp.singleton @t1)) % 0.45/0.64 (define @t32 () (tptp.ordered_pair @t1 @t2)) % 0.45/0.64 (define @t33 () (tptp.the_carrier @t1)) % 0.45/0.64 (define @t34 () (tptp.the_InternalRel @t1)) % 0.45/0.64 (define @t35 () (tptp.antisymmetric_relstr @t1)) % 0.45/0.64 (define @t36 () (= @t35 (tptp.is_antisymmetric_in @t34 @t33))) % 0.45/0.64 (define @t37 () (tptp.rel_str @t1)) % 0.45/0.64 (define @t38 () (forall @t29 (=> @t37 @t36))) % 0.45/0.64 (define @t39 () (tptp.related @t1 @t2 @t5)) % 0.45/0.64 (define @t40 () (= @t39 (tptp.in (tptp.ordered_pair @t2 @t5) @t34))) % 0.45/0.64 (define @t41 () (tptp.element @t5 @t33)) % 0.45/0.64 (define @t42 () (@list @t5)) % 0.45/0.64 (define @t43 () (forall @t42 (=> @t41 @t40))) % 0.45/0.64 (define @t44 () (tptp.element @t2 @t33)) % 0.45/0.64 (define @t45 () (=> @t44 @t43)) % 0.45/0.64 (define @t46 () (forall @t25 @t45)) % 0.45/0.64 (define @t47 () (=> @t37 @t46)) % 0.45/0.64 (define @t48 () (forall @t29 @t47)) % 0.45/0.64 (define @t49 () (tptp.one_sorted_str @t1)) % 0.45/0.64 (define @t50 () (tptp.relation_of2_as_subset @t5 @t1 @t2)) % 0.45/0.64 (define @t51 () (forall @t9 (=> @t50 @t8))) % 0.45/0.64 (define @t52 () (tptp.relation_of2_as_subset @t34 @t33 @t33)) % 0.45/0.64 (define @t53 () (forall @t29 (=> @t37 @t52))) % 0.45/0.64 (define @t54 () (tptp.relation_of2 @t5 @t1 @t2)) % 0.45/0.64 (define @t55 () (tptp.powerset @t1)) % 0.45/0.64 (define @t56 () (tptp.empty @t2)) % 0.45/0.64 (define @t57 () (not @t56)) % 0.45/0.64 (define @t58 () (tptp.empty @t1)) % 0.45/0.64 (define @t59 () (not @t58)) % 0.45/0.64 (define @t60 () (tptp.element @t2 @t55)) % 0.45/0.64 (define @t61 () (tptp.element @t1 @t2)) % 0.45/0.64 (define @t62 () (= @t2 @t5)) % 0.45/0.64 (define @t63 () (tptp.related @t1 @t5 @t2)) % 0.45/0.64 (define @t64 () (and @t39 @t63)) % 0.45/0.64 (define @t65 () (=> @t64 @t62)) % 0.45/0.64 (define @t66 () (forall @t42 (=> @t41 @t65))) % 0.45/0.64 (define @t67 () (=> @t44 @t66)) % 0.45/0.64 (define @t68 () (forall @t25 @t67)) % 0.45/0.64 (define @t69 () (and @t35 @t37)) % 0.45/0.64 (define @t70 () (=> @t69 @t68)) % 0.45/0.64 (define @t71 () (forall @t29 @t70)) % 0.45/0.64 (define @t72 () (not @t71)) % 0.45/0.64 (define @t73 () (or @t56 @t3)) % 0.45/0.64 (define @t74 () (forall @t4 (=> @t61 @t73))) % 0.45/0.64 (define @t75 () (tptp.element @t1 @t5)) % 0.45/0.64 (define @t76 () (tptp.element @t2 (tptp.powerset @t5))) % 0.45/0.64 (define @t77 () (and @t3 @t76)) % 0.45/0.64 (define @t78 () (forall @t9 (=> @t77 @t75))) % 0.45/0.64 (define @t79 () (tptp.empty @t5)) % 0.45/0.64 (define @t80 () (forall @t9 (not (and @t3 @t76 @t79)))) % 0.45/0.64 (define @t81 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 0.45/0.64 (define @t82 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 0.45/0.64 (define @t83 () (= @t82 @t81)) % 0.45/0.64 (define @t84 () (not (tptp.related @t1 @t81 @t82))) % 0.45/0.64 (define @t85 () (not (tptp.related @t1 @t82 @t81))) % 0.45/0.64 (define @t86 () (not (tptp.element @t81 @t33))) % 0.45/0.64 (define @t87 () (not (tptp.element @t82 @t33))) % 0.45/0.64 (define @t88 () (not @t37)) % 0.45/0.64 (define @t89 () (not @t35)) % 0.45/0.64 (define @t90 () (or @t89 @t88 @t87 @t86 @t85 @t84 @t83)) % 0.45/0.64 (define @t91 () (or @t87 @t86 @t85 @t84 @t83)) % 0.45/0.64 (define @t92 () (or @t89 @t88 @t91)) % 0.45/0.64 (define @t93 () (@list @t1 @t82 @t81)) % 0.45/0.64 (define @t94 () (forall @t93 @t92)) % 0.45/0.64 (define @t95 () (@list @t82 @t81)) % 0.45/0.64 (define @t96 () (forall @t95 @t92)) % 0.45/0.64 (define @t97 () (forall @t95 @t91)) % 0.45/0.64 (define @t98 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.45/0.64 (define @t99 () (or @t89 @t88 @t97)) % 0.45/0.64 (define @t100 () (= @t2 @t98)) % 0.45/0.64 (define @t101 () (not (tptp.related @t1 @t98 @t2))) % 0.45/0.64 (define @t102 () (not (tptp.related @t1 @t2 @t98))) % 0.45/0.64 (define @t103 () (not (tptp.element @t98 @t33))) % 0.45/0.64 (define @t104 () (not @t44)) % 0.45/0.64 (define @t105 () (or @t104 @t103 @t102 @t101 @t100)) % 0.45/0.64 (define @t106 () (@list @t2 @t98)) % 0.45/0.64 (define @t107 () (forall @t106 @t105)) % 0.45/0.64 (define @t108 () (or @t89 @t88 @t107)) % 0.45/0.64 (define @t109 () (or @t103 @t102 @t101 @t100)) % 0.45/0.64 (define @t110 () (or @t104 @t109)) % 0.45/0.64 (define @t111 () (forall @t106 @t110)) % 0.45/0.64 (define @t112 () (@list @t98)) % 0.45/0.64 (define @t113 () (forall @t112 @t110)) % 0.45/0.64 (define @t114 () (forall @t112 @t109)) % 0.45/0.64 (define @t115 () (@list @t5)) % 0.45/0.64 (define @t116 () (or @t104 @t114)) % 0.45/0.64 (define @t117 () (not @t63)) % 0.45/0.64 (define @t118 () (not @t39)) % 0.45/0.64 (define @t119 () (not @t41)) % 0.45/0.64 (define @t120 () (or @t119 @t118 @t117 @t62)) % 0.45/0.64 (define @t121 () (forall @t42 @t120)) % 0.45/0.64 (define @t122 () (or @t118 @t117 @t62)) % 0.45/0.64 (define @t123 () (forall @t93 @t90)) % 0.45/0.64 (define @t124 () (@quantifiers_skolemize @t123 2)) % 0.45/0.64 (define @t125 () (@quantifiers_skolemize @t123 1)) % 0.45/0.64 (define @t126 () (= @t125 @t124)) % 0.45/0.64 (define @t127 () (@quantifiers_skolemize @t123 0)) % 0.45/0.64 (define @t128 () (tptp.related @t127 @t124 @t125)) % 0.45/0.64 (define @t129 () (not @t128)) % 0.45/0.64 (define @t130 () (tptp.related @t127 @t125 @t124)) % 0.45/0.64 (define @t131 () (not @t130)) % 0.45/0.64 (define @t132 () (tptp.the_carrier @t127)) % 0.45/0.64 (define @t133 () (tptp.element @t124 @t132)) % 0.45/0.64 (define @t134 () (not @t133)) % 0.45/0.64 (define @t135 () (tptp.element @t125 @t132)) % 0.45/0.64 (define @t136 () (not @t135)) % 0.45/0.64 (define @t137 () (tptp.rel_str @t127)) % 0.45/0.64 (define @t138 () (not @t137)) % 0.45/0.64 (define @t139 () (tptp.antisymmetric_relstr @t127)) % 0.45/0.64 (define @t140 () (not @t139)) % 0.45/0.64 (define @t141 () (or @t140 @t138 @t136 @t134 @t131 @t129 @t126)) % 0.45/0.64 (define @t142 () (@list true)) % 0.45/0.64 (define @t143 () (@list @t141)) % 0.45/0.64 (define @t144 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 0.45/0.64 (define @t145 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.45/0.64 (define @t146 () (= (tptp.related @t1 @t145 @t144) (tptp.in (tptp.ordered_pair @t145 @t144) @t34))) % 0.45/0.64 (define @t147 () (not (tptp.element @t144 @t33))) % 0.45/0.64 (define @t148 () (not (tptp.element @t145 @t33))) % 0.45/0.64 (define @t149 () (or @t148 @t147 @t146)) % 0.45/0.64 (define @t150 () (or @t88 @t149)) % 0.45/0.64 (define @t151 () (forall (@list @t1 @t145 @t144) @t150)) % 0.45/0.64 (define @t152 () (@list @t145 @t144)) % 0.45/0.64 (define @t153 () (forall @t152 @t150)) % 0.45/0.64 (define @t154 () (forall @t152 @t149)) % 0.45/0.64 (define @t155 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 0.45/0.64 (define @t156 () (or @t88 @t154)) % 0.45/0.64 (define @t157 () (= (tptp.related @t1 @t2 @t155) (tptp.in (tptp.ordered_pair @t2 @t155) @t34))) % 0.45/0.64 (define @t158 () (not (tptp.element @t155 @t33))) % 0.45/0.64 (define @t159 () (or @t104 @t158 @t157)) % 0.45/0.64 (define @t160 () (@list @t2 @t155)) % 0.45/0.64 (define @t161 () (forall @t160 @t159)) % 0.45/0.64 (define @t162 () (or @t158 @t157)) % 0.45/0.64 (define @t163 () (or @t104 @t162)) % 0.45/0.64 (define @t164 () (forall @t160 @t163)) % 0.45/0.64 (define @t165 () (@list @t155)) % 0.45/0.64 (define @t166 () (forall @t165 @t163)) % 0.45/0.64 (define @t167 () (forall @t165 @t162)) % 0.45/0.64 (define @t168 () (or @t104 @t167)) % 0.45/0.64 (define @t169 () (forall @t42 (or @t119 @t40))) % 0.45/0.64 (define @t170 () (tptp.the_InternalRel @t127)) % 0.45/0.64 (define @t171 () (tptp.ordered_pair @t125 @t124)) % 0.45/0.64 (define @t172 () (tptp.in @t171 @t170)) % 0.45/0.64 (define @t173 () (= @t130 @t172)) % 0.45/0.64 (define @t174 () (or @t138 @t136 @t134 @t173)) % 0.45/0.64 (define @t175 () (@list false false false false)) % 0.45/0.64 (define @t176 () (@list false false)) % 0.45/0.64 (define @t177 () (tptp.in (tptp.ordered_pair @t124 @t125) @t170)) % 0.45/0.64 (define @t178 () (= @t128 @t177)) % 0.45/0.64 (define @t179 () (or @t138 @t134 @t136 @t178)) % 0.45/0.64 (define @t180 () (not @t15)) % 0.45/0.64 (define @t181 () (not @t17)) % 0.45/0.64 (define @t182 () (@var "BOUND_VARIABLE_7626" $$unsorted)) % 0.45/0.64 (define @t183 () (= (tptp.is_antisymmetric_in @t1 @t182) (forall @t21 (or (not (tptp.in @t5 @t182)) (not (tptp.in @t12 @t182)) @t181 @t180 @t13)))) % 0.45/0.64 (define @t184 () (not @t27)) % 0.45/0.64 (define @t185 () (or @t184 @t183)) % 0.45/0.64 (define @t186 () (@list @t182)) % 0.45/0.64 (define @t187 () (forall @t186 @t185)) % 0.45/0.64 (define @t188 () (forall @t186 @t183)) % 0.45/0.64 (define @t189 () (or @t184 @t188)) % 0.45/0.64 (define @t190 () (not @t18)) % 0.45/0.64 (define @t191 () (not @t19)) % 0.45/0.64 (define @t192 () (or @t191 @t190 @t181 @t180 @t13)) % 0.45/0.64 (define @t193 () (forall @t25 (= @t23 (forall @t21 @t192)))) % 0.45/0.64 (define @t194 () (or @t191 @t190 @t181 @t180)) % 0.45/0.64 (define @t195 () (@list @t132 @t132 @t170)) % 0.45/0.64 (define @t196 () (@list @t127)) % 0.45/0.64 (define @t197 () (tptp.relation_of2_as_subset @t170 @t132 @t132)) % 0.45/0.64 (define @t198 () (or @t138 @t197)) % 0.45/0.64 (define @t199 () (tptp.cartesian_product2 @t132 @t132)) % 0.45/0.64 (define @t200 () (tptp.element @t170 (tptp.powerset @t199))) % 0.45/0.64 (define @t201 () (not @t197)) % 0.45/0.64 (define @t202 () (or @t201 @t200)) % 0.45/0.64 (define @t203 () (tptp.relation @t170)) % 0.45/0.64 (define @t204 () (not @t200)) % 0.45/0.64 (define @t205 () (or @t204 @t203)) % 0.45/0.64 (define @t206 () (forall @t21 (or (not (tptp.in @t5 @t132)) (not (tptp.in @t12 @t132)) (not (tptp.in @t16 @t170)) (not (tptp.in @t14 @t170)) @t13))) % 0.45/0.64 (define @t207 () (tptp.is_antisymmetric_in @t170 @t132)) % 0.45/0.64 (define @t208 () (= @t207 @t206)) % 0.45/0.64 (define @t209 () (not @t203)) % 0.45/0.64 (define @t210 () (or @t209 @t208)) % 0.45/0.64 (define @t211 () (= @t139 @t207)) % 0.45/0.64 (define @t212 () (or @t138 @t211)) % 0.45/0.64 (define @t213 () (not @t61)) % 0.45/0.64 (define @t214 () (not @t76)) % 0.45/0.64 (define @t215 () (not @t3)) % 0.45/0.64 (define @t216 () (@list @t171 @t170 @t199)) % 0.45/0.64 (define @t217 () (tptp.element @t171 @t199)) % 0.45/0.64 (define @t218 () (not @t172)) % 0.45/0.64 (define @t219 () (or @t218 @t204 @t217)) % 0.45/0.64 (define @t220 () (@list false false false)) % 0.45/0.64 (define @t221 () (not @t79)) % 0.45/0.64 (define @t222 () (tptp.empty @t199)) % 0.45/0.64 (define @t223 () (not @t222)) % 0.45/0.64 (define @t224 () (or @t218 @t204 @t223)) % 0.45/0.64 (define @t225 () (tptp.in @t171 @t199)) % 0.45/0.64 (define @t226 () (not @t217)) % 0.45/0.64 (define @t227 () (or @t226 @t222 @t225)) % 0.45/0.64 (define @t228 () (tptp.in @t124 @t132)) % 0.45/0.64 (define @t229 () (tptp.in @t125 @t132)) % 0.45/0.64 (define @t230 () (and @t229 @t228)) % 0.45/0.64 (define @t231 () (= @t225 @t230)) % 0.45/0.64 (define @t232 () (not @t230)) % 0.45/0.64 (define @t233 () (@list false)) % 0.45/0.64 (define @t234 () (@list @t230)) % 0.45/0.64 (define @t235 () (not @t177)) % 0.45/0.64 (define @t236 () (not @t228)) % 0.45/0.64 (define @t237 () (not @t229)) % 0.45/0.64 (define @t238 () (or @t237 @t236 @t218 @t235 @t126)) % 0.45/0.64 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.45/0.64 (assume @p2 @t10) % 0.45/0.64 (assume @p3 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.45/0.64 (assume @p4 @t30) % 0.45/0.64 (assume @p5 (forall @t4 (= @t32 (tptp.unordered_pair @t11 @t31)))) % 0.45/0.64 (assume @p6 @t38) % 0.45/0.64 (assume @p7 @t48) % 0.45/0.64 (assume @p8 true) % 0.45/0.64 (assume @p9 (forall @t29 (=> @t37 @t49))) % 0.45/0.64 (assume @p10 @t51) % 0.45/0.64 (assume @p11 @t53) % 0.45/0.64 (assume @p12 (exists @t29 @t37)) % 0.45/0.64 (assume @p13 (exists @t29 @t49)) % 0.45/0.64 (assume @p14 (forall @t4 (exists @t42 @t54))) % 0.45/0.64 (assume @p15 (forall @t29 (exists @t25 (tptp.element @t2 @t1)))) % 0.45/0.64 (assume @p16 (forall @t4 (exists @t42 @t50))) % 0.45/0.64 (assume @p17 (forall @t29 (not (tptp.empty @t55)))) % 0.45/0.64 (assume @p18 (tptp.empty tptp.empty_set)) % 0.45/0.64 (assume @p19 (forall 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@p106)) % 0.45/0.64 (step @p109 :rule symm :premises (@p108)) % 0.45/0.64 (step @p110 :rule cong :premises (@p109) :args ((forall @t29 (or @t88 @t161)))) % 0.45/0.64 (step @p111 :rule trans :premises (@p110 @p104)) % 0.45/0.64 (step @p112 :rule trans :premises (@p111 @p103)) % 0.45/0.64 (step @p113 :rule bool-impl-elim :args (@t37 @t161)) % 0.45/0.64 (step @p114 :rule cong :premises (@p113) :args ((forall @t29 (=> @t37 @t161)))) % 0.45/0.64 (step @p115 :rule trans :premises (@p114 @p112)) % 0.45/0.64 (step @p116 :rule aci_norm :args ((= @t163 @t159))) % 0.45/0.64 (step @p117 :rule cong :premises (@p116) :args (@t164)) % 0.45/0.64 (step @p118 :rule quant-merge-prenex :args ((= (forall @t25 @t166) @t164))) % 0.45/0.64 (step @p119 :rule alpha_equiv :args (@t167 (@list @t155) @t115)) % 0.45/0.64 (step @p120 :rule nary_cong :premises (@p64 @p119) :args (@t168)) % 0.45/0.64 (step @p121 :rule quant-miniscope-or :args ((= @t166 @t168))) % 0.45/0.64 (step @p122 :rule trans :premises (@p121 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:rule eq_resolve :premises (@p150 @p149)) % 0.45/0.64 (step @p152 :rule reordering :premises (@p151) :args ((or @t135 @t141))) % 0.45/0.64 (step @p153 :rule chain_m_resolution :premises (@p152 @p99) :args (@t135 @t142 @t143)) % 0.45/0.64 (step @p154 :rule bool-double-not-elim :args (@t137)) % 0.45/0.64 (step @p155 :rule nary_cong :premises (@p142 @p154) :args ((or @t141 (not @t138)))) % 0.45/0.64 (step @p156 :rule cnf_or_neg :args (@t141 1)) % 0.45/0.64 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.45/0.64 (step @p158 :rule reordering :premises (@p157) :args ((or @t137 @t141))) % 0.45/0.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p99) :args (@t137 @t142 @t143)) % 0.45/0.64 (step @p160 :rule cnf_or_pos :args (@t174)) % 0.45/0.64 (step @p161 :rule reordering :premises (@p160) :args ((or @t138 @t136 @t134 @t173 (not @t174)))) % 0.45/0.64 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p153 @p147 @p140) :args (@t173 @t175 (@list @t137 @t135 @t133 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@t180))) @t194))) % 0.45/0.64 (step @p200 :rule bool-and-de-morgan :args (@t17 @t15 true)) % 0.45/0.64 (step @p201 :rule refl :args (@t190)) % 0.45/0.64 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t190 (not (and @t17 @t15))))) % 0.45/0.64 (step @p203 :rule bool-and-de-morgan :args (@t18 @t17 (and @t15))) % 0.45/0.64 (step @p204 :rule trans :premises (@p203 @p202)) % 0.45/0.64 (step @p205 :rule refl :args (@t191)) % 0.45/0.64 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t191 (not (and @t18 @t17 @t15))))) % 0.45/0.64 (step @p207 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t15))) % 0.45/0.64 (step @p208 :rule trans :premises (@p207 @p206)) % 0.45/0.64 (step @p209 :rule trans :premises (@p208 @p199)) % 0.45/0.64 (step @p210 :rule nary_cong :premises (@p209 @p198) :args ((or (not @t20) @t13))) % 0.45/0.64 (step @p211 :rule trans :premises (@p210 @p197)) % 0.45/0.64 (step @p212 :rule bool-impl-elim :args (@t20 @t13)) % 0.45/0.64 (step @p213 :rule trans :premises (@p212 @p211)) % 0.45/0.64 (step @p214 :rule cong :premises (@p213) :args (@t22)) % 0.45/0.64 (step @p215 :rule refl :args (@t23)) % 0.45/0.64 (step @p216 :rule cong :premises (@p215 @p214) :args (@t24)) % 0.45/0.64 (step @p217 :rule cong :premises (@p216) :args (@t26)) % 0.45/0.64 (step @p218 :rule refl :args (@t27)) % 0.45/0.64 (step @p219 :rule cong :premises (@p218 @p217) :args (@t28)) % 0.45/0.64 (step @p220 :rule cong :premises (@p219) :args (@t30)) % 0.45/0.64 (step @p221 :rule trans :premises (@p220 @p196)) % 0.45/0.64 (step @p222 :rule eq_resolve :premises (@p4 @p221)) % 0.45/0.64 (step @p223 :rule instantiate :premises (@p222) :args ((@list @t170 @t132))) % 0.45/0.64 (step @p224 :rule bool-impl-elim :args (@t8 @t6)) % 0.45/0.64 (step @p225 :rule cong :premises (@p224) :args (@t10)) % 0.45/0.64 (step @p226 :rule eq_resolve :premises (@p2 @p225)) % 0.45/0.64 (step @p227 :rule instantiate :premises (@p226) :args (@t195)) % 0.45/0.64 (step @p228 :rule bool-impl-elim :args (@t50 @t8)) % 0.45/0.64 (step @p229 :rule cong :premises (@p228) :args (@t51)) % 0.45/0.64 (step @p230 :rule eq_resolve :premises (@p10 @p229)) % 0.45/0.64 (step @p231 :rule instantiate :premises (@p230) :args (@t195)) % 0.45/0.64 (step @p232 :rule bool-impl-elim :args (@t37 @t52)) % 0.45/0.64 (step @p233 :rule cong :premises (@p232) :args (@t53)) % 0.45/0.64 (step @p234 :rule eq_resolve :premises (@p11 @p233)) % 0.45/0.64 (step @p235 :rule instantiate :premises (@p234) :args (@t196)) % 0.45/0.64 (step @p236 :rule cnf_or_pos :args (@t198)) % 0.45/0.64 (step @p237 :rule reordering :premises (@p236) :args ((or @t138 @t197 (not @t198)))) % 0.45/0.64 (step @p238 :rule chain_m_resolution :premises (@p237 @p159 @p235) :args (@t197 @t176 (@list @t137 @t198))) % 0.45/0.64 (step @p239 :rule cnf_or_pos :args (@t202)) % 0.45/0.64 (step @p240 :rule reordering :premises (@p239) :args ((or @t201 @t200 (not @t202)))) % 0.45/0.64 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p231) :args (@t200 @t176 (@list @t197 @t202))) % 0.45/0.64 (step @p242 :rule cnf_or_pos :args (@t205)) % 0.45/0.64 (step @p243 :rule reordering :premises (@p242) :args ((or @t203 @t204 (not @t205)))) % 0.45/0.64 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p227) :args (@t203 @t176 (@list @t200 @t205))) % 0.45/0.64 (step @p245 :rule cnf_or_pos :args (@t210)) % 0.45/0.64 (step @p246 :rule reordering :premises (@p245) :args ((or @t209 @t208 (not @t210)))) % 0.45/0.64 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p223) :args (@t208 @t176 (@list @t203 @t210))) % 0.45/0.64 (step @p248 :rule bool-impl-elim :args (@t37 @t36)) % 0.45/0.64 (step @p249 :rule cong :premises (@p248) :args (@t38)) % 0.45/0.64 (step @p250 :rule eq_resolve :premises (@p6 @p249)) % 0.45/0.64 (step @p251 :rule instantiate :premises (@p250) :args (@t196)) % 0.45/0.64 (step @p252 :rule cnf_or_pos :args (@t212)) % 0.45/0.64 (step @p253 :rule reordering :premises (@p252) :args ((or @t138 @t211 (not @t212)))) % 0.45/0.64 (step @p254 :rule chain_m_resolution :premises (@p253 @p159 @p251) :args (@t211 @t176 (@list @t137 @t212))) % 0.45/0.64 (step @p255 :rule bool-double-not-elim :args (@t139)) % 0.45/0.64 (step @p256 :rule nary_cong :premises (@p142 @p255) :args ((or @t141 (not @t140)))) % 0.45/0.64 (step @p257 :rule cnf_or_neg :args (@t141 0)) % 0.45/0.64 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.45/0.64 (step @p259 :rule reordering :premises (@p258) :args ((or @t139 @t141))) % 0.45/0.64 (step @p260 :rule chain_m_resolution :premises (@p259 @p99) :args (@t139 @t142 @t143)) % 0.45/0.64 (step @p261 :rule cnf_equiv_pos1 :args (@t211)) % 0.45/0.64 (step @p262 :rule reordering :premises (@p261) :args ((or @t140 @t207 (not @t211)))) % 0.45/0.64 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p254) :args (@t207 @t176 (@list @t139 @t211))) % 0.45/0.64 (step @p264 :rule cnf_equiv_pos1 :args (@t208)) % 0.45/0.64 (step @p265 :rule reordering :premises (@p264) :args ((or (not @t207) @t206 (not @t208)))) % 0.45/0.64 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p247) :args (@t206 @t176 (@list @t207 @t208))) % 0.45/0.64 (step @p267 :rule instantiate :premises (@p266) :args ((@list @t125 @t124))) % 0.45/0.64 (step @p268 :rule instantiate :premises (@p28) :args ((@list @t125 @t124 @t132 @t132))) % 0.45/0.64 (step @p269 :rule aci_norm :args ((= (or @t213 @t73) (or @t213 @t56 @t3)))) % 0.45/0.64 (step @p270 :rule bool-impl-elim :args (@t61 @t73)) % 0.45/0.64 (step @p271 :rule trans :premises (@p270 @p269)) % 0.45/0.64 (step @p272 :rule cong :premises (@p271) :args (@t74)) % 0.45/0.64 (step @p273 :rule eq_resolve :premises (@p31 @p272)) % 0.45/0.64 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t171 @t199))) % 0.45/0.64 (step @p275 :rule aci_norm :args ((= (or (or @t215 @t214) @t75) (or @t215 @t214 @t75)))) % 0.45/0.64 (step @p276 :rule refl :args (@t75)) % 0.45/0.64 (step @p277 :rule bool-and-de-morgan :args (@t3 @t76 true)) % 0.45/0.64 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t77) @t75))) % 0.45/0.64 (step @p279 :rule trans :premises (@p278 @p275)) % 0.45/0.64 (step @p280 :rule bool-impl-elim :args (@t77 @t75)) % 0.45/0.64 (step @p281 :rule trans :premises (@p280 @p279)) % 0.45/0.64 (step @p282 :rule cong :premises (@p281) :args (@t78)) % 0.45/0.64 (step @p283 :rule eq_resolve :premises (@p33 @p282)) % 0.45/0.64 (step @p284 :rule instantiate :premises (@p283) :args (@t216)) % 0.45/0.64 (step @p285 :rule cnf_or_pos :args (@t219)) % 0.45/0.64 (step @p286 :rule reordering :premises (@p285) :args ((or @t218 @t204 @t217 (not @t219)))) % 0.45/0.64 (step @p287 :rule chain_m_resolution :premises (@p286 @p171 @p241 @p284) :args (@t217 @t220 (@list @t172 @t200 @t219))) % 0.45/0.64 (step @p288 :rule aci_norm :args ((= (or @t215 (or @t214 @t221)) (or @t215 @t214 @t221)))) % 0.45/0.64 (step @p289 :rule bool-and-de-morgan :args (@t76 @t79 true)) % 0.45/0.64 (step @p290 :rule refl :args (@t215)) % 0.45/0.64 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t215 (not (and @t76 @t79))))) % 0.45/0.64 (step @p292 :rule bool-and-de-morgan :args (@t3 @t76 (and @t79))) % 0.45/0.64 (step @p293 :rule trans :premises (@p292 @p291)) % 0.45/0.64 (step @p294 :rule trans :premises (@p293 @p288)) % 0.45/0.64 (step @p295 :rule cong :premises (@p294) :args (@t80)) % 0.45/0.64 (step @p296 :rule eq_resolve :premises (@p34 @p295)) % 0.45/0.64 (step @p297 :rule instantiate :premises (@p296) :args (@t216)) % 0.45/0.64 (step @p298 :rule cnf_or_pos :args (@t224)) % 0.45/0.64 (step @p299 :rule reordering :premises (@p298) :args ((or @t218 @t204 @t223 (not @t224)))) % 0.45/0.64 (step @p300 :rule chain_m_resolution :premises (@p299 @p171 @p241 @p297) :args (@t223 @t220 (@list @t172 @t200 @t224))) % 0.45/0.64 (step @p301 :rule cnf_or_pos :args (@t227)) % 0.45/0.64 (step @p302 :rule reordering :premises (@p301) :args ((or @t222 @t226 @t225 (not @t227)))) % 0.45/0.64 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p287 @p274) :args (@t225 (@list true false false) (@list @t222 @t217 @t227))) % 0.45/0.64 (step @p304 :rule cnf_equiv_pos1 :args (@t231)) % 0.45/0.64 (step @p305 :rule reordering :premises (@p304) :args ((or @t230 (not @t225) (not @t231)))) % 0.45/0.64 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p268) :args (@t230 @t176 (@list @t225 @t231))) % 0.45/0.64 (step @p307 :rule cnf_and_pos :args (@t230 0)) % 0.45/0.64 (step @p308 :rule reordering :premises (@p307) :args ((or @t229 @t232))) % 0.45/0.64 (step @p309 :rule chain_m_resolution :premises (@p308 @p306) :args (@t229 @t233 @t234)) % 0.45/0.64 (step @p310 :rule cnf_and_pos :args (@t230 1)) % 0.45/0.64 (step @p311 :rule reordering :premises (@p310) :args ((or @t228 @t232))) % 0.45/0.64 (step @p312 :rule chain_m_resolution :premises (@p311 @p306) :args (@t228 @t233 @t234)) % 0.45/0.64 (step @p313 :rule cnf_or_pos :args (@t238)) % 0.45/0.64 (step @p314 :rule reordering :premises (@p313) :args ((or @t126 @t218 @t235 @t237 @t236 (not @t238)))) % 0.45/0.64 (step @p315 false :rule chain_m_resolution :premises (@p314 @p312 @p309 @p267 @p184 @p171 @p101) :args (false (@list false false false false false true) (@list @t228 @t229 @t238 @t177 @t172 @t126))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------