%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU368+1 : 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 : n025.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 08:51:32 AM UTC 2026 % Result : Theorem 0.73s 0.92s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU368+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:02:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.73/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.92 % SZS status Theorem % 0.73/0.92 % SZS output start Proof % 0.73/0.92 ( % 0.73/0.92 (declare-sort $$unsorted 0) % 0.73/0.92 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.empty_set $$unsorted) % 0.73/0.92 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.73/0.92 (define @t1 () (@var "A" $$unsorted)) % 0.73/0.92 (define @t2 () (@var "B" $$unsorted)) % 0.73/0.92 (define @t3 () (tptp.in @t1 @t2)) % 0.73/0.92 (define @t4 () (@list @t1 @t2)) % 0.73/0.92 (define @t5 () (not (tptp.empty_carrier @t1))) % 0.73/0.92 (define @t6 () (tptp.one_sorted_str @t1)) % 0.73/0.92 (define @t7 () (@list @t1)) % 0.73/0.92 (define @t8 () (tptp.the_carrier @t1)) % 0.73/0.92 (define @t9 () (and @t5 @t6)) % 0.73/0.92 (define @t10 () (tptp.empty @t2)) % 0.73/0.92 (define @t11 () (not @t10)) % 0.73/0.92 (define @t12 () (@list @t2)) % 0.73/0.92 (define @t13 () (tptp.antisymmetric_relstr @t1)) % 0.73/0.92 (define @t14 () (tptp.transitive_relstr @t1)) % 0.73/0.92 (define @t15 () (tptp.reflexive_relstr @t1)) % 0.73/0.92 (define @t16 () (tptp.strict_rel_str @t1)) % 0.73/0.92 (define @t17 () (tptp.rel_str @t1)) % 0.73/0.92 (define @t18 () (tptp.element @t1 @t2)) % 0.73/0.92 (define @t19 () (@var "C" $$unsorted)) % 0.73/0.92 (define @t20 () (tptp.element @t2 (tptp.powerset @t19))) % 0.73/0.92 (define @t21 () (@list @t1 @t2 @t19)) % 0.73/0.92 (define @t22 () (tptp.incl_POSet @t1)) % 0.73/0.92 (define @t23 () (tptp.antisymmetric_relstr @t22)) % 0.73/0.92 (define @t24 () (tptp.transitive_relstr @t22)) % 0.73/0.92 (define @t25 () (tptp.reflexive_relstr @t22)) % 0.73/0.92 (define @t26 () (tptp.strict_rel_str @t22)) % 0.73/0.92 (define @t27 () (tptp.empty @t1)) % 0.73/0.92 (define @t28 () (not @t27)) % 0.73/0.92 (define @t29 () (tptp.rel_str_of @t1 @t2)) % 0.73/0.92 (define @t30 () (tptp.strict_rel_str @t29)) % 0.73/0.92 (define @t31 () (tptp.relation_of2 @t2 @t1 @t1)) % 0.73/0.92 (define @t32 () (tptp.powerset @t1)) % 0.73/0.92 (define @t33 () (tptp.element @t2 @t32)) % 0.73/0.92 (define @t34 () (tptp.cartesian_product2 @t1 @t2)) % 0.73/0.92 (define @t35 () (tptp.relation_of2 @t19 @t1 @t2)) % 0.73/0.92 (define @t36 () (@list @t19)) % 0.73/0.92 (define @t37 () (tptp.element @t19 (tptp.powerset @t34))) % 0.73/0.92 (define @t38 () (@var "D" $$unsorted)) % 0.73/0.92 (define @t39 () (and (= @t1 @t19) (= @t2 @t38))) % 0.73/0.92 (define @t40 () (= @t29 (tptp.rel_str_of @t19 @t38))) % 0.73/0.92 (define @t41 () (@list @t19 @t38)) % 0.73/0.92 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.73/0.92 (define @t43 () (=> @t31 @t42)) % 0.73/0.92 (define @t44 () (forall @t4 @t43)) % 0.73/0.92 (define @t45 () (tptp.the_InternalRel @t1)) % 0.73/0.92 (define @t46 () (= @t1 (tptp.rel_str_of @t8 @t45))) % 0.73/0.92 (define @t47 () (=> @t16 @t46)) % 0.73/0.92 (define @t48 () (forall @t7 (=> @t17 @t47))) % 0.73/0.92 (define @t49 () (tptp.relation_of2_as_subset @t19 @t1 @t2)) % 0.73/0.92 (define @t50 () (forall @t21 (= @t49 @t35))) % 0.73/0.92 (define @t51 () (tptp.inclusion_relation @t1)) % 0.73/0.92 (define @t52 () (tptp.inclusion_order @t1)) % 0.73/0.92 (define @t53 () (tptp.relation_of2_as_subset @t52 @t1 @t1)) % 0.73/0.92 (define @t54 () (tptp.v1_partfun1 @t52 @t1 @t1)) % 0.73/0.92 (define @t55 () (tptp.transitive @t52)) % 0.73/0.92 (define @t56 () (tptp.antisymmetric @t52)) % 0.73/0.92 (define @t57 () (tptp.reflexive @t52)) % 0.73/0.92 (define @t58 () (forall @t7 (and @t57 @t56 @t55 @t54 @t53))) % 0.73/0.92 (define @t59 () (tptp.rel_str @t22)) % 0.73/0.92 (define @t60 () (forall @t7 (and @t26 @t59))) % 0.73/0.92 (define @t61 () (tptp.the_InternalRel @t22)) % 0.73/0.92 (define @t62 () (tptp.the_carrier @t22)) % 0.73/0.92 (define @t63 () (and (= @t62 @t1) (= @t61 @t52))) % 0.73/0.92 (define @t64 () (forall @t7 @t63)) % 0.73/0.92 (define @t65 () (not @t64)) % 0.73/0.92 (define @t66 () (@var "BOUND_VARIABLE_7932" $$unsorted)) % 0.73/0.92 (define @t67 () (forall (@list @t66) (= @t66 (tptp.the_carrier (tptp.incl_POSet @t66))))) % 0.73/0.92 (define @t68 () (@quantifiers_skolemize @t67 0)) % 0.73/0.92 (define @t69 () (@list @t68)) % 0.73/0.92 (define @t70 () (not @t16)) % 0.73/0.92 (define @t71 () (not @t17)) % 0.73/0.92 (define @t72 () (tptp.incl_POSet @t68)) % 0.73/0.92 (define @t73 () (forall @t7 @t59)) % 0.73/0.92 (define @t74 () (@list @t1)) % 0.73/0.92 (define @t75 () (forall @t7 @t26)) % 0.73/0.92 (define @t76 () (and @t75 @t73)) % 0.73/0.92 (define @t77 () (tptp.the_InternalRel @t72)) % 0.73/0.92 (define @t78 () (tptp.the_carrier @t72)) % 0.73/0.92 (define @t79 () (tptp.rel_str_of @t78 @t77)) % 0.73/0.92 (define @t80 () (= @t72 @t79)) % 0.73/0.92 (define @t81 () (tptp.strict_rel_str @t72)) % 0.73/0.92 (define @t82 () (not @t81)) % 0.73/0.92 (define @t83 () (tptp.rel_str @t72)) % 0.73/0.92 (define @t84 () (not @t83)) % 0.73/0.92 (define @t85 () (or @t84 @t82 @t80)) % 0.73/0.92 (define @t86 () (@list false false false)) % 0.73/0.92 (define @t87 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 0.73/0.92 (define @t88 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 0.73/0.92 (define @t89 () (and (= @t1 @t88) (= @t2 @t87))) % 0.73/0.92 (define @t90 () (not (= @t29 (tptp.rel_str_of @t88 @t87)))) % 0.73/0.92 (define @t91 () (not @t31)) % 0.73/0.92 (define @t92 () (or @t91 @t90 @t89)) % 0.73/0.92 (define @t93 () (or @t90 @t89)) % 0.73/0.92 (define @t94 () (or @t91 @t93)) % 0.73/0.92 (define @t95 () (@list @t1 @t2 @t88 @t87)) % 0.73/0.92 (define @t96 () (forall @t95 @t94)) % 0.73/0.92 (define @t97 () (@list @t88 @t87)) % 0.73/0.92 (define @t98 () (forall @t97 @t94)) % 0.73/0.92 (define @t99 () (forall @t97 @t93)) % 0.73/0.92 (define @t100 () (or @t91 @t99)) % 0.73/0.92 (define @t101 () (forall @t41 (or (not @t40) @t39))) % 0.73/0.92 (define @t102 () (tptp.inclusion_order @t68)) % 0.73/0.92 (define @t103 () (= @t68 @t78)) % 0.73/0.92 (define @t104 () (and @t103 (= @t102 @t77))) % 0.73/0.92 (define @t105 () (tptp.rel_str_of @t68 @t102)) % 0.73/0.92 (define @t106 () (not (= @t105 @t79))) % 0.73/0.92 (define @t107 () (tptp.relation_of2 @t102 @t68 @t68)) % 0.73/0.92 (define @t108 () (not @t107)) % 0.73/0.92 (define @t109 () (or @t108 @t106 @t104)) % 0.73/0.92 (define @t110 () (forall @t95 @t92)) % 0.73/0.92 (define @t111 () (and @t103 (= @t77 @t102))) % 0.73/0.92 (define @t112 () (= @t79 @t105)) % 0.73/0.92 (define @t113 () (not @t112)) % 0.73/0.92 (define @t114 () (or @t108 @t113 @t111)) % 0.73/0.92 (define @t115 () (@list false)) % 0.73/0.92 (define @t116 () (@list @t110)) % 0.73/0.92 (define @t117 () (@var "BOUND_VARIABLE_7939" $$unsorted)) % 0.73/0.92 (define @t118 () (forall (@list @t117) (= (tptp.inclusion_order @t117) (tptp.the_InternalRel (tptp.incl_POSet @t117))))) % 0.73/0.92 (define @t119 () (@quantifiers_skolemize @t118 0)) % 0.73/0.92 (define @t120 () (tptp.incl_POSet @t119)) % 0.73/0.92 (define @t121 () (tptp.the_InternalRel @t120)) % 0.73/0.92 (define @t122 () (tptp.inclusion_order @t119)) % 0.73/0.92 (define @t123 () (= @t122 @t121)) % 0.73/0.92 (define @t124 () (tptp.the_carrier @t120)) % 0.73/0.92 (define @t125 () (and (= @t119 @t124) @t123)) % 0.73/0.92 (define @t126 () (tptp.rel_str_of @t119 @t122)) % 0.73/0.92 (define @t127 () (tptp.rel_str_of @t124 @t121)) % 0.73/0.92 (define @t128 () (not (= @t126 @t127))) % 0.73/0.92 (define @t129 () (tptp.relation_of2 @t122 @t119 @t119)) % 0.73/0.92 (define @t130 () (not @t129)) % 0.73/0.92 (define @t131 () (or @t130 @t128 @t125)) % 0.73/0.92 (define @t132 () (= @t127 @t126)) % 0.73/0.92 (define @t133 () (not @t132)) % 0.73/0.92 (define @t134 () (or @t130 @t133 @t125)) % 0.73/0.92 (define @t135 () (@list @t119)) % 0.73/0.92 (define @t136 () (= @t120 @t127)) % 0.73/0.92 (define @t137 () (tptp.strict_rel_str @t120)) % 0.73/0.92 (define @t138 () (not @t137)) % 0.73/0.92 (define @t139 () (tptp.rel_str @t120)) % 0.73/0.92 (define @t140 () (not @t139)) % 0.73/0.92 (define @t141 () (or @t140 @t138 @t136)) % 0.73/0.92 (define @t142 () (tptp.relation_of2_as_subset @t122 @t119 @t119)) % 0.73/0.92 (define @t143 () (forall @t21 (= @t35 @t49))) % 0.73/0.92 (define @t144 () (= @t129 @t142)) % 0.73/0.92 (define @t145 () (= @t142 @t129)) % 0.73/0.92 (define @t146 () (@list @t143)) % 0.73/0.92 (define @t147 () (forall @t7 @t53)) % 0.73/0.92 (define @t148 () (forall @t7 @t54)) % 0.73/0.92 (define @t149 () (forall @t7 @t55)) % 0.73/0.92 (define @t150 () (forall @t7 @t56)) % 0.73/0.92 (define @t151 () (forall @t7 @t57)) % 0.73/0.92 (define @t152 () (and @t151 @t150 @t149 @t148 @t147)) % 0.73/0.92 (define @t153 () (@list false false)) % 0.73/0.92 (define @t154 () (not @t123)) % 0.73/0.92 (define @t155 () (not @t118)) % 0.73/0.92 (define @t156 () (= @t52 @t61)) % 0.73/0.92 (define @t157 () (forall @t7 @t156)) % 0.73/0.92 (define @t158 () (= @t1 @t62)) % 0.73/0.92 (define @t159 () (forall @t7 @t158)) % 0.73/0.92 (define @t160 () (and @t159 @t157)) % 0.73/0.92 (define @t161 () (not @t67)) % 0.73/0.92 (define @t162 () (not @t103)) % 0.73/0.92 (define @t163 () (@list true)) % 0.73/0.92 (define @t164 () (not @t111)) % 0.73/0.92 (define @t165 () (tptp.relation_of2_as_subset @t102 @t68 @t68)) % 0.73/0.92 (define @t166 () (= @t107 @t165)) % 0.73/0.92 (define @t167 () (= @t165 @t107)) % 0.73/0.92 (define @t168 () (= @t72 @t105)) % 0.73/0.92 (define @t169 () (not @t168)) % 0.73/0.92 (define @t170 () (not @t80)) % 0.73/0.92 (define @t171 () (and @t113 @t80 @t168)) % 0.73/0.92 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.73/0.92 (assume @p2 true) % 0.73/0.92 (assume @p3 (exists @t7 (and @t6 @t5))) % 0.73/0.92 (assume @p4 (forall @t7 (=> @t9 (not (tptp.empty @t8))))) % 0.73/0.92 (assume @p5 (forall @t7 (=> @t9 (exists @t12 (and (tptp.element @t2 (tptp.powerset @t8)) @t11))))) % 0.73/0.92 (assume @p6 (exists @t7 (and @t17 @t5 @t16 @t15 @t14 @t13))) % 0.73/0.92 (assume @p7 (tptp.empty tptp.empty_set)) % 0.73/0.92 (assume @p8 (forall @t4 (=> @t3 @t18))) % 0.73/0.92 (assume @p9 (forall @t21 (=> (and @t3 @t20) (tptp.element @t1 @t19)))) % 0.73/0.92 (assume @p10 (forall @t21 (not (and @t3 @t20 (tptp.empty @t19))))) % 0.73/0.92 (assume @p11 (forall @t4 (tptp.subset @t1 @t1))) % 0.73/0.92 (assume @p12 (forall @t7 (=> @t28 (and (not (tptp.empty_carrier @t22)) @t26 @t25 @t24 @t23)))) % 0.73/0.92 (assume @p13 (forall @t4 (=> (and @t28 @t31) (and (not (tptp.empty_carrier @t29)) @t30)))) % 0.73/0.92 (assume @p14 (forall @t7 (=> @t28 (exists @t12 (and @t33 @t11))))) % 0.73/0.92 (assume @p15 (forall @t4 (=> (and @t28 @t11) (not (tptp.empty @t34))))) % 0.73/0.92 (assume @p16 (forall @t7 (exists @t12 (and @t33 @t10)))) % 0.73/0.92 (assume @p17 (exists @t7 @t27)) % 0.73/0.92 (assume @p18 (exists @t7 @t28)) % 0.73/0.92 (assume @p19 (forall @t4 (=> @t18 (or @t10 @t3)))) % 0.73/0.92 (assume @p20 (forall @t7 (=> @t27 (= @t1 tptp.empty_set)))) % 0.73/0.92 (assume @p21 (forall @t4 (not (and @t3 @t10)))) % 0.73/0.92 (assume @p22 (forall @t4 (not (and @t27 (not (= @t1 @t2)) @t10)))) % 0.73/0.92 (assume @p23 (forall @t4 (exists @t36 @t35))) % 0.73/0.92 (assume @p24 (forall @t7 (exists @t12 (tptp.element @t2 @t1)))) % 0.73/0.92 (assume @p25 (forall @t4 (=> (and (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t1 @t1) @t31) (and @t30 (tptp.reflexive_relstr @t29) (tptp.transitive_relstr @t29) (tptp.antisymmetric_relstr @t29))))) % 0.73/0.92 (assume @p26 (forall @t21 (=> @t37 (tptp.relation @t19)))) % 0.73/0.92 (assume @p27 (forall @t7 (not (tptp.empty @t32)))) % 0.73/0.92 (assume @p28 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.73/0.92 (assume @p29 @t44) % 0.73/0.92 (assume @p30 @t48) % 0.73/0.92 (assume @p31 (exists @t7 @t17)) % 0.73/0.92 (assume @p32 (exists @t7 @t6)) % 0.73/0.92 (assume @p33 (forall @t4 (exists @t36 @t49))) % 0.73/0.92 (assume @p34 @t50) % 0.73/0.92 (assume @p35 (forall @t4 (=> @t31 (and @t30 (tptp.rel_str @t29))))) % 0.73/0.92 (assume @p36 (forall @t7 (tptp.relation @t51))) % 0.73/0.92 (assume @p37 (forall @t7 (=> @t17 @t6))) % 0.73/0.92 (assume @p38 (forall @t21 (=> @t49 @t37))) % 0.73/0.92 (assume @p39 (exists @t7 (and @t17 @t16))) % 0.73/0.92 (assume @p40 (forall @t7 (=> (and @t15 @t14 @t13 @t17) (and (tptp.relation @t45) (tptp.reflexive @t45) (tptp.antisymmetric @t45) (tptp.transitive @t45) (tptp.v1_partfun1 @t45 @t8 @t8))))) % 0.73/0.92 (assume @p41 (forall @t7 (= @t52 @t51))) % 0.73/0.92 (assume @p42 @t58) % 0.73/0.92 (assume @p43 @t60) % 0.73/0.92 (assume @p44 (forall @t7 (=> @t17 (tptp.relation_of2_as_subset @t45 @t8 @t8)))) % 0.73/0.92 (assume @p45 (forall @t7 (and @t26 @t25 @t24 @t23))) % 0.73/0.92 (assume @p46 (forall @t7 (= @t22 (tptp.rel_str_of @t1 @t52)))) % 0.73/0.92 (assume @p47 @t65) % 0.73/0.92 (step @p48 :rule instantiate :premises (@p46) :args (@t69)) % 0.73/0.92 (step @p49 :rule aci_norm :args ((= (or @t71 (or @t70 @t46)) (or @t71 @t70 @t46)))) % 0.73/0.92 (step @p50 :rule bool-impl-elim :args (@t16 @t46)) % 0.73/0.92 (step @p51 :rule refl :args (@t71)) % 0.73/0.92 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t71 @t47))) % 0.73/0.92 (step @p53 :rule trans :premises (@p52 @p49)) % 0.73/0.92 (step @p54 :rule bool-impl-elim :args (@t17 @t47)) % 0.73/0.92 (step @p55 :rule trans :premises (@p54 @p53)) % 0.73/0.92 (step @p56 :rule cong :premises (@p55) :args (@t48)) % 0.73/0.92 (step @p57 :rule eq_resolve :premises (@p30 @p56)) % 0.73/0.92 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t72))) % 0.73/0.92 (step @p59 :rule alpha_equiv :args (@t73 @t74 (@list (@var "BOUND_VARIABLE_7891" $$unsorted)))) % 0.73/0.92 (step @p60 :rule alpha_equiv :args (@t75 @t74 (@list (@var "BOUND_VARIABLE_7885" $$unsorted)))) % 0.73/0.92 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t76)) % 0.73/0.92 (step @p62 :rule quant-miniscope-and :args ((= @t60 @t76))) % 0.73/0.92 (step @p63 :rule trans :premises (@p62 @p61)) % 0.73/0.92 (step @p64 :rule eq_resolve :premises (@p43 @p63)) % 0.73/0.92 (step @p65 :rule and_elim :premises (@p64) :args (0)) % 0.73/0.92 (step @p66 :rule instantiate :premises (@p65) :args (@t69)) % 0.73/0.92 (step @p67 :rule and_elim :premises (@p64) :args (1)) % 0.73/0.92 (step @p68 :rule instantiate :premises (@p67) :args (@t69)) % 0.73/0.92 (step @p69 :rule cnf_or_pos :args (@t85)) % 0.73/0.92 (step @p70 :rule reordering :premises (@p69) :args ((or @t84 @t82 @t80 (not @t85)))) % 0.73/0.92 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66 @p58) :args (@t80 @t86 (@list @t83 @t81 @t85))) % 0.73/0.92 (step @p72 :rule aci_norm :args ((= @t94 @t92))) % 0.73/0.92 (step @p73 :rule cong :premises (@p72) :args (@t96)) % 0.73/0.92 (step @p74 :rule quant-merge-prenex :args ((= (forall @t4 @t98) @t96))) % 0.73/0.92 (step @p75 :rule alpha_equiv :args (@t99 (@list @t88 @t87) (@list @t19 @t38))) % 0.73/0.92 (step @p76 :rule refl :args (@t91)) % 0.73/0.92 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t100)) % 0.73/0.92 (step @p78 :rule quant-miniscope-or :args ((= @t98 @t100))) % 0.73/0.92 (step @p79 :rule trans :premises (@p78 @p77)) % 0.73/0.92 (step @p80 :rule symm :premises (@p79)) % 0.73/0.92 (step @p81 :rule cong :premises (@p80) :args ((forall @t4 (or @t91 @t101)))) % 0.73/0.92 (step @p82 :rule trans :premises (@p81 @p74)) % 0.73/0.92 (step @p83 :rule trans :premises (@p82 @p73)) % 0.73/0.92 (step @p84 :rule bool-impl-elim :args (@t31 @t101)) % 0.73/0.92 (step @p85 :rule cong :premises (@p84) :args ((forall @t4 (=> @t31 @t101)))) % 0.73/0.92 (step @p86 :rule trans :premises (@p85 @p83)) % 0.73/0.92 (step @p87 :rule bool-impl-elim :args (@t40 @t39)) % 0.73/0.92 (step @p88 :rule cong :premises (@p87) :args (@t42)) % 0.73/0.92 (step @p89 :rule refl :args (@t31)) % 0.73/0.92 (step @p90 :rule cong :premises (@p89 @p88) :args (@t43)) % 0.73/0.92 (step @p91 :rule cong :premises (@p90) :args (@t44)) % 0.73/0.92 (step @p92 :rule trans :premises (@p91 @p86)) % 0.73/0.92 (step @p93 :rule eq_resolve :premises (@p29 @p92)) % 0.73/0.92 (step @p94 :rule eq-symm :args (@t102 @t77)) % 0.73/0.92 (step @p95 :rule refl :args (@t103)) % 0.73/0.92 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t104)) % 0.73/0.92 (step @p97 :rule eq-symm :args (@t105 @t79)) % 0.73/0.92 (step @p98 :rule cong :premises (@p97) :args (@t106)) % 0.73/0.92 (step @p99 :rule refl :args (@t108)) % 0.73/0.92 (step @p100 :rule nary_cong :premises (@p99 @p98 @p96) :args (@t109)) % 0.73/0.92 (step @p101 :rule refl :args (@t110)) % 0.73/0.92 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t110 @t109))) % 0.73/0.92 (assume-push @p250 @t110) % 0.73/0.92 (step @p104 :rule instantiate :premises (@p93) :args ((@list @t68 @t102 @t78 @t77))) % 0.73/0.92 (step-pop @p251 :rule scope :premises (@p104)) % 0.73/0.92 (step @p105 :rule process_scope :premises (@p251) :args (@t109)) % 0.73/0.92 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.73/0.92 (step @p108 :rule implies_elim :premises (@p107)) % 0.73/0.92 (step @p109 :rule chain_m_resolution :premises (@p108 @p93) :args (@t114 @t115 @t116)) % 0.73/0.92 (step @p110 :rule refl :args (@t125)) % 0.73/0.92 (step @p111 :rule eq-symm :args (@t126 @t127)) % 0.73/0.92 (step @p112 :rule cong :premises (@p111) :args (@t128)) % 0.73/0.92 (step @p113 :rule refl :args (@t130)) % 0.73/0.92 (step @p114 :rule nary_cong :premises (@p113 @p112 @p110) :args (@t131)) % 0.73/0.92 (step @p115 :rule cong :premises (@p101 @p114) :args ((=> @t110 @t131))) % 0.73/0.92 (assume-push @p252 @t110) % 0.73/0.92 (step @p117 :rule instantiate :premises (@p93) :args ((@list @t119 @t122 @t124 @t121))) % 0.73/0.92 (step-pop @p253 :rule scope :premises (@p117)) % 0.73/0.92 (step @p118 :rule process_scope :premises (@p253) :args (@t131)) % 0.73/0.92 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.73/0.92 (step @p121 :rule implies_elim :premises (@p120)) % 0.73/0.92 (step @p122 :rule chain_m_resolution :premises (@p121 @p93) :args (@t134 @t115 @t116)) % 0.73/0.92 (step @p123 :rule instantiate :premises (@p46) :args (@t135)) % 0.73/0.92 (step @p124 :rule instantiate :premises (@p57) :args ((@list @t120))) % 0.73/0.92 (step @p125 :rule instantiate :premises (@p65) :args (@t135)) % 0.73/0.92 (step @p126 :rule instantiate :premises (@p67) :args (@t135)) % 0.73/0.92 (step @p127 :rule cnf_or_pos :args (@t141)) % 0.73/0.92 (step @p128 :rule reordering :premises (@p127) :args ((or @t140 @t138 @t136 (not @t141)))) % 0.73/0.92 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p125 @p124) :args (@t136 @t86 (@list @t139 @t137 @t141))) % 0.73/0.92 (step @p130 :rule symm :premises (@p129)) % 0.73/0.92 (step @p131 :rule trans :premises (@p130 @p123)) % 0.73/0.92 (step @p132 :rule eq-symm :args (@t49 @t35)) % 0.73/0.92 (step @p133 :rule cong :premises (@p132) :args (@t50)) % 0.73/0.92 (step @p134 :rule eq_resolve :premises (@p34 @p133)) % 0.73/0.92 (step @p135 :rule eq-symm :args (@t129 @t142)) % 0.73/0.92 (step @p136 :rule refl :args (@t143)) % 0.73/0.92 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t143 @t144))) % 0.73/0.92 (assume-push @p254 @t143) % 0.73/0.92 (step @p139 :rule instantiate :premises (@p134) :args ((@list @t119 @t119 @t122))) % 0.73/0.92 (step-pop @p255 :rule scope :premises (@p139)) % 0.73/0.92 (step @p140 :rule process_scope :premises (@p255) :args (@t144)) % 0.73/0.92 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 0.73/0.92 (step @p143 :rule implies_elim :premises (@p142)) % 0.73/0.92 (step @p144 :rule chain_m_resolution :premises (@p143 @p134) :args (@t145 @t115 @t146)) % 0.73/0.92 (step @p145 :rule alpha_equiv :args (@t147 @t74 (@list (@var "BOUND_VARIABLE_7877" $$unsorted)))) % 0.73/0.92 (step @p146 :rule alpha_equiv :args (@t148 @t74 (@list (@var "BOUND_VARIABLE_7870" $$unsorted)))) % 0.73/0.92 (step @p147 :rule alpha_equiv :args (@t149 @t74 (@list (@var "BOUND_VARIABLE_7863" $$unsorted)))) % 0.73/0.92 (step @p148 :rule alpha_equiv :args (@t150 @t74 (@list (@var "BOUND_VARIABLE_7857" $$unsorted)))) % 0.73/0.92 (step @p149 :rule alpha_equiv :args (@t151 @t74 (@list (@var "BOUND_VARIABLE_7851" $$unsorted)))) % 0.73/0.92 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145) :args (@t152)) % 0.73/0.92 (step @p151 :rule quant-miniscope-and :args ((= @t58 @t152))) % 0.73/0.92 (step @p152 :rule trans :premises (@p151 @p150)) % 0.73/0.92 (step @p153 :rule eq_resolve :premises (@p42 @p152)) % 0.73/0.92 (step @p154 :rule and_elim :premises (@p153) :args (4)) % 0.73/0.92 (step @p155 :rule instantiate :premises (@p154) :args (@t135)) % 0.73/0.92 (step @p156 :rule cnf_equiv_pos1 :args (@t145)) % 0.73/0.92 (step @p157 :rule reordering :premises (@p156) :args ((or (not @t142) @t129 (not @t145)))) % 0.73/0.92 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p144) :args (@t129 @t153 (@list @t142 @t145))) % 0.73/0.92 (step @p159 :rule cnf_or_pos :args (@t134)) % 0.73/0.92 (step @p160 :rule reordering :premises (@p159) :args ((or @t130 @t125 @t133 (not @t134)))) % 0.73/0.92 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p131 @p122) :args (@t125 @t86 (@list @t129 @t132 @t134))) % 0.73/0.92 (step @p162 :rule cnf_and_pos :args (@t125 1)) % 0.73/0.92 (step @p163 :rule reordering :premises (@p162) :args ((or @t123 (not @t125)))) % 0.73/0.92 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args (@t123 @t115 (@list @t125))) % 0.73/0.92 (step @p165 :rule refl :args (@t154)) % 0.73/0.92 (step @p166 :rule bool-double-not-elim :args (@t118)) % 0.73/0.92 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t155) @t154))) % 0.73/0.92 (assume-push @p256 @t155) % 0.73/0.92 (step @p169 :rule skolemize :premises (@p256)) % 0.73/0.92 (step-pop @p257 :rule scope :premises (@p169)) % 0.73/0.92 (step @p170 :rule process_scope :premises (@p257) :args (@t154)) % 0.73/0.92 (step @p172 :rule implies_elim :premises (@p170)) % 0.73/0.92 (step @p173 :rule eq_resolve :premises (@p172 @p167)) % 0.73/0.92 (step @p174 :rule chain_m_resolution :premises (@p173 @p164) :args (@t118 @t115 (@list @t123))) % 0.73/0.92 (step @p175 :rule alpha_equiv :args (@t157 @t74 (@list @t117))) % 0.73/0.92 (step @p176 :rule alpha_equiv :args (@t159 @t74 (@list @t66))) % 0.73/0.92 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t160)) % 0.73/0.92 (step @p178 :rule quant-miniscope-and :args ((= (forall @t7 (and @t158 @t156)) @t160))) % 0.73/0.92 (step @p179 :rule trans :premises (@p178 @p177)) % 0.73/0.92 (step @p180 :rule eq-symm :args (@t61 @t52)) % 0.73/0.92 (step @p181 :rule eq-symm :args (@t62 @t1)) % 0.73/0.92 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t63)) % 0.73/0.92 (step @p183 :rule cong :premises (@p182) :args (@t64)) % 0.73/0.92 (step @p184 :rule trans :premises (@p183 @p179)) % 0.73/0.92 (step @p185 :rule cong :premises (@p184) :args (@t65)) % 0.73/0.92 (step @p186 :rule eq_resolve :premises (@p47 @p185)) % 0.73/0.92 (step @p187 :rule not_and :premises (@p186)) % 0.73/0.92 (step @p188 :rule chain_m_resolution :premises (@p187 @p174) :args (@t161 @t115 (@list @t118))) % 0.73/0.92 (step @p189 :rule refl :args (@t162)) % 0.73/0.92 (step @p190 :rule bool-double-not-elim :args (@t67)) % 0.73/0.92 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or (not @t161) @t162))) % 0.73/0.92 (assume-push @p258 @t161) % 0.73/0.92 (step @p193 :rule skolemize :premises (@p258)) % 0.73/0.92 (step-pop @p259 :rule scope :premises (@p193)) % 0.73/0.92 (step @p194 :rule process_scope :premises (@p259) :args (@t162)) % 0.73/0.93 (step @p196 :rule implies_elim :premises (@p194)) % 0.73/0.93 (step @p197 :rule eq_resolve :premises (@p196 @p191)) % 0.73/0.93 (step @p198 :rule chain_m_resolution :premises (@p197 @p188) :args (@t162 @t163 (@list @t67))) % 0.73/0.93 (step @p199 :rule cnf_and_pos :args (@t111 0)) % 0.73/0.93 (step @p200 :rule reordering :premises (@p199) :args ((or @t103 @t164))) % 0.73/0.93 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t164 @t163 (@list @t103))) % 0.73/0.93 (step @p202 :rule eq-symm :args (@t107 @t165)) % 0.73/0.93 (step @p203 :rule cong :premises (@p136 @p202) :args ((=> @t143 @t166))) % 0.73/0.93 (assume-push @p260 @t143) % 0.73/0.93 (step @p205 :rule instantiate :premises (@p134) :args ((@list @t68 @t68 @t102))) % 0.73/0.93 (step-pop @p261 :rule scope :premises (@p205)) % 0.73/0.93 (step @p206 :rule process_scope :premises (@p261) :args (@t166)) % 0.73/0.93 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 0.73/0.93 (step @p209 :rule implies_elim :premises (@p208)) % 0.73/0.93 (step @p210 :rule chain_m_resolution :premises (@p209 @p134) :args (@t167 @t115 @t146)) % 0.73/0.93 (step @p211 :rule instantiate :premises (@p154) :args (@t69)) % 0.73/0.93 (step @p212 :rule cnf_equiv_pos1 :args (@t167)) % 0.73/0.93 (step @p213 :rule reordering :premises (@p212) :args ((or (not @t165) @t107 (not @t167)))) % 0.73/0.93 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p210) :args (@t107 @t153 (@list @t165 @t167))) % 0.73/0.93 (step @p215 :rule cnf_or_pos :args (@t114)) % 0.73/0.93 (step @p216 :rule reordering :premises (@p215) :args ((or @t108 @t113 @t111 (not @t114)))) % 0.73/0.93 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p201 @p109) :args (@t113 (@list false true false) (@list @t107 @t111 @t114))) % 0.73/0.93 (step @p218 :rule bool-double-not-elim :args (@t112)) % 0.73/0.93 (step @p219 :rule refl :args (@t169)) % 0.73/0.93 (step @p220 :rule refl :args (@t170)) % 0.73/0.93 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args ((or @t170 @t169 (not @t113)))) % 0.73/0.93 (assume-push @p262 @t113) % 0.73/0.93 (assume-push @p263 @t80) % 0.73/0.93 (assume-push @p264 @t168) % 0.73/0.93 (step @p225 :rule evaluate :args ((= true false))) % 0.73/0.93 (step @p226 :rule false_intro :premises (@p262)) % 0.73/0.93 (step @p227 :rule symm :premises (@p71)) % 0.73/0.93 (step @p228 :rule trans :premises (@p227 @p48)) % 0.73/0.93 (step @p229 :rule true_intro :premises (@p228)) % 0.73/0.93 (step @p230 :rule symm :premises (@p229)) % 0.73/0.93 (step @p231 :rule trans :premises (@p230 @p226)) % 0.73/0.93 (step @p232 false :rule eq_resolve :premises (@p231 @p225)) % 0.73/0.93 (step-pop @p265 :rule scope :premises (@p232)) % 0.73/0.93 (step-pop @p266 :rule scope :premises (@p265)) % 0.73/0.93 (step-pop @p267 :rule scope :premises (@p266)) % 0.73/0.93 (step @p233 :rule process_scope :premises (@p267) :args (false)) % 0.73/0.93 (assume-push @p268 @t80) % 0.73/0.93 (assume-push @p269 @t168) % 0.73/0.93 (assume-push @p270 @t113) % 0.73/0.93 (step @p240 :rule and_intro :premises (@p270 @p71 @p48)) % 0.73/0.93 (step-pop @p271 :rule scope :premises (@p240)) % 0.73/0.93 (step-pop @p272 :rule scope :premises (@p271)) % 0.73/0.93 (step-pop @p273 :rule scope :premises (@p272)) % 0.73/0.93 (step @p241 :rule process_scope :premises (@p273) :args (@t171)) % 0.73/0.93 (step @p245 :rule implies_elim :premises (@p241)) % 0.73/0.93 (step @p246 :rule resolution :premises (@p245 @p233) :args (true @t171)) % 0.73/0.93 (step @p247 :rule not_and :premises (@p246)) % 0.73/0.93 (step @p248 :rule eq_resolve :premises (@p247 @p221)) % 0.73/0.93 (step @p249 false :rule chain_m_resolution :premises (@p248 @p217 @p71 @p48) :args (false (@list true false false) (@list @t112 @t80 @t168))) % 0.73/0.93 ) % 0.73/0.93 % SZS output end Proof % 0.73/0.93 % cvc5 exiting %------------------------------------------------------------------------------