%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU353+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 : n007.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 08:51:29 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU353+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 16:59:56 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.bijective (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.symmetric (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.onto (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.apply_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.identity_as_relation_of (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.identity_on_carrier (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.in @t2 @t1)) % 0.37/0.62 (define @t4 () (tptp.in @t1 @t2)) % 0.37/0.62 (define @t5 () (@list @t1 @t2)) % 0.37/0.62 (define @t6 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t7 () (tptp.quasi_total @t6 @t1 @t2)) % 0.37/0.62 (define @t8 () (tptp.function @t6)) % 0.37/0.62 (define @t9 () (and @t8 @t7)) % 0.37/0.62 (define @t10 () (tptp.v1_partfun1 @t6 @t1 @t2)) % 0.37/0.62 (define @t11 () (tptp.relation_of2 @t6 @t1 @t2)) % 0.37/0.62 (define @t12 () (@list @t1 @t2 @t6)) % 0.37/0.62 (define @t13 () (tptp.relation @t1)) % 0.37/0.62 (define @t14 () (@list @t1)) % 0.37/0.62 (define @t15 () (tptp.relation @t6)) % 0.37/0.62 (define @t16 () (tptp.cartesian_product2 @t1 @t2)) % 0.37/0.62 (define @t17 () (tptp.element @t6 (tptp.powerset @t16))) % 0.37/0.62 (define @t18 () (and @t8 (tptp.one_to_one @t6) @t7 (tptp.onto @t6 @t1 @t2))) % 0.37/0.62 (define @t19 () (and @t8 @t7 (tptp.bijective @t6 @t1 @t2))) % 0.37/0.62 (define @t20 () (tptp.bijective @t2 @t1 @t1)) % 0.37/0.62 (define @t21 () (tptp.onto @t2 @t1 @t1)) % 0.37/0.62 (define @t22 () (tptp.quasi_total @t2 @t1 @t1)) % 0.37/0.62 (define @t23 () (tptp.one_to_one @t2)) % 0.37/0.62 (define @t24 () (tptp.function @t2)) % 0.37/0.62 (define @t25 () (tptp.reflexive @t2)) % 0.37/0.62 (define @t26 () (tptp.v1_partfun1 @t2 @t1 @t1)) % 0.37/0.62 (define @t27 () (tptp.relation_of2 @t2 @t1 @t1)) % 0.37/0.62 (define @t28 () (@list @t6)) % 0.37/0.62 (define @t29 () (tptp.empty @t2)) % 0.37/0.62 (define @t30 () (not @t29)) % 0.37/0.62 (define @t31 () (tptp.empty @t6)) % 0.37/0.62 (define @t32 () (tptp.empty @t1)) % 0.37/0.62 (define @t33 () (not @t32)) % 0.37/0.62 (define @t34 () (and @t33 @t30)) % 0.37/0.62 (define @t35 () (tptp.the_carrier @t1)) % 0.37/0.62 (define @t36 () (tptp.identity_on_carrier @t1)) % 0.37/0.62 (define @t37 () (= @t36 (tptp.identity_as_relation_of @t35))) % 0.37/0.62 (define @t38 () (tptp.one_sorted_str @t1)) % 0.37/0.62 (define @t39 () (forall @t14 (=> @t38 @t37))) % 0.37/0.62 (define @t40 () (tptp.identity_as_relation_of @t1)) % 0.37/0.62 (define @t41 () (tptp.identity_relation @t1)) % 0.37/0.62 (define @t42 () (tptp.relation @t41)) % 0.37/0.62 (define @t43 () (and (tptp.function @t36) (tptp.quasi_total @t36 @t35 @t35) (tptp.relation_of2_as_subset @t36 @t35 @t35))) % 0.37/0.62 (define @t44 () (forall @t14 (=> @t38 @t43))) % 0.37/0.62 (define @t45 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t46 () (tptp.apply_as_element @t1 @t2 @t6 @t45)) % 0.37/0.62 (define @t47 () (tptp.element @t45 @t1)) % 0.37/0.62 (define @t48 () (and @t33 @t8 @t7 @t11 @t47)) % 0.37/0.62 (define @t49 () (@list @t1 @t2 @t6 @t45)) % 0.37/0.62 (define @t50 () (tptp.relation_of2_as_subset @t6 @t1 @t2)) % 0.37/0.62 (define @t51 () (@list @t2)) % 0.37/0.62 (define @t52 () (not (tptp.empty @t35))) % 0.37/0.62 (define @t53 () (tptp.empty_carrier @t1)) % 0.37/0.62 (define @t54 () (not @t53)) % 0.37/0.62 (define @t55 () (and @t54 @t38)) % 0.37/0.62 (define @t56 () (forall @t14 (=> @t55 @t52))) % 0.37/0.62 (define @t57 () (tptp.powerset @t1)) % 0.37/0.62 (define @t58 () (tptp.element @t2 @t57)) % 0.37/0.62 (define @t59 () (tptp.relation @t2)) % 0.37/0.62 (define @t60 () (= @t46 (tptp.apply @t6 @t45))) % 0.37/0.62 (define @t61 () (forall @t49 (=> @t48 @t60))) % 0.37/0.62 (define @t62 () (forall @t12 (= @t50 @t11))) % 0.37/0.62 (define @t63 () (tptp.element @t1 @t2)) % 0.37/0.62 (define @t64 () (or @t29 @t4)) % 0.37/0.62 (define @t65 () (forall @t5 (=> @t63 @t64))) % 0.37/0.62 (define @t66 () (tptp.apply @t41 @t2)) % 0.37/0.62 (define @t67 () (=> @t3 (= @t66 @t2))) % 0.37/0.62 (define @t68 () (forall @t5 @t67)) % 0.37/0.62 (define @t69 () (tptp.element @t2 (tptp.powerset @t6))) % 0.37/0.62 (define @t70 () (tptp.apply_as_element @t35 @t35 @t36 @t2)) % 0.37/0.62 (define @t71 () (tptp.element @t2 @t35)) % 0.37/0.62 (define @t72 () (=> @t71 (= @t70 @t2))) % 0.37/0.62 (define @t73 () (forall @t51 @t72)) % 0.37/0.62 (define @t74 () (=> @t55 @t73)) % 0.37/0.62 (define @t75 () (forall @t14 @t74)) % 0.37/0.62 (define @t76 () (not @t75)) % 0.37/0.62 (define @t77 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.37/0.62 (define @t78 () (= @t77 (tptp.apply_as_element @t35 @t35 @t36 @t77))) % 0.37/0.62 (define @t79 () (not (tptp.element @t77 @t35))) % 0.37/0.62 (define @t80 () (not @t38)) % 0.37/0.62 (define @t81 () (or @t53 @t80 @t79 @t78)) % 0.37/0.62 (define @t82 () (or @t79 @t78)) % 0.37/0.62 (define @t83 () (or @t53 @t80 @t82)) % 0.37/0.62 (define @t84 () (@list @t1 @t77)) % 0.37/0.62 (define @t85 () (forall @t84 @t83)) % 0.37/0.62 (define @t86 () (@list @t77)) % 0.37/0.62 (define @t87 () (forall @t86 @t83)) % 0.37/0.62 (define @t88 () (forall @t86 @t82)) % 0.37/0.62 (define @t89 () (or @t53 @t80 @t88)) % 0.37/0.62 (define @t90 () (= @t2 @t70)) % 0.37/0.62 (define @t91 () (forall @t51 (or (not @t71) @t90))) % 0.37/0.62 (define @t92 () (or @t53 @t80 @t91)) % 0.37/0.62 (define @t93 () (or @t53 @t80)) % 0.37/0.62 (define @t94 () (not @t55)) % 0.37/0.62 (define @t95 () (forall @t84 @t81)) % 0.37/0.62 (define @t96 () (@quantifiers_skolemize @t95 1)) % 0.37/0.62 (define @t97 () (@quantifiers_skolemize @t95 0)) % 0.37/0.62 (define @t98 () (tptp.identity_on_carrier @t97)) % 0.37/0.62 (define @t99 () (tptp.the_carrier @t97)) % 0.37/0.62 (define @t100 () (tptp.apply_as_element @t99 @t99 @t98 @t96)) % 0.37/0.62 (define @t101 () (= @t96 @t100)) % 0.37/0.62 (define @t102 () (tptp.element @t96 @t99)) % 0.37/0.62 (define @t103 () (not @t102)) % 0.37/0.62 (define @t104 () (tptp.one_sorted_str @t97)) % 0.37/0.62 (define @t105 () (not @t104)) % 0.37/0.62 (define @t106 () (tptp.empty_carrier @t97)) % 0.37/0.62 (define @t107 () (or @t106 @t105 @t103 @t101)) % 0.37/0.62 (define @t108 () (@list true)) % 0.37/0.62 (define @t109 () (@list @t107)) % 0.37/0.62 (define @t110 () (@list @t97)) % 0.37/0.62 (define @t111 () (tptp.identity_as_relation_of @t99)) % 0.37/0.62 (define @t112 () (= @t98 @t111)) % 0.37/0.62 (define @t113 () (or @t105 @t112)) % 0.37/0.62 (define @t114 () (@list false false)) % 0.37/0.62 (define @t115 () (= @t2 @t66)) % 0.37/0.62 (define @t116 () (not @t63)) % 0.37/0.62 (define @t117 () (tptp.empty @t99)) % 0.37/0.62 (define @t118 () (not @t117)) % 0.37/0.62 (define @t119 () (or @t106 @t105 @t118)) % 0.37/0.62 (define @t120 () (tptp.in @t96 @t99)) % 0.37/0.62 (define @t121 () (or @t103 @t117 @t120)) % 0.37/0.62 (define @t122 () (tptp.identity_relation @t99)) % 0.37/0.62 (define @t123 () (tptp.apply @t122 @t96)) % 0.37/0.62 (define @t124 () (= @t96 @t123)) % 0.37/0.62 (define @t125 () (not @t120)) % 0.37/0.62 (define @t126 () (or @t125 @t124)) % 0.37/0.62 (define @t127 () (not @t47)) % 0.37/0.62 (define @t128 () (not @t11)) % 0.37/0.62 (define @t129 () (not @t7)) % 0.37/0.62 (define @t130 () (not @t8)) % 0.37/0.62 (define @t131 () (not @t33)) % 0.37/0.62 (define @t132 () (or @t131 @t130 @t129 @t128 @t127)) % 0.37/0.62 (define @t133 () (tptp.relation_of2 @t98 @t99 @t99)) % 0.37/0.62 (define @t134 () (tptp.relation_of2_as_subset @t98 @t99 @t99)) % 0.37/0.62 (define @t135 () (forall @t12 (= @t11 @t50))) % 0.37/0.62 (define @t136 () (= @t133 @t134)) % 0.37/0.62 (define @t137 () (= @t134 @t133)) % 0.37/0.62 (define @t138 () (@list false)) % 0.37/0.62 (define @t139 () (tptp.quasi_total @t98 @t99 @t99)) % 0.37/0.62 (define @t140 () (tptp.function @t98)) % 0.37/0.62 (define @t141 () (and @t140 @t139 @t134)) % 0.37/0.62 (define @t142 () (or @t105 @t141)) % 0.37/0.62 (define @t143 () (not @t141)) % 0.37/0.62 (define @t144 () (@list @t141)) % 0.37/0.62 (define @t145 () (= @t100 (tptp.apply @t98 @t96))) % 0.37/0.62 (define @t146 () (not @t133)) % 0.37/0.62 (define @t147 () (not @t139)) % 0.37/0.62 (define @t148 () (not @t140)) % 0.37/0.62 (define @t149 () (or @t117 @t148 @t147 @t146 @t103 @t145)) % 0.37/0.62 (define @t150 () (= @t111 @t122)) % 0.37/0.62 (define @t151 () (and @t112 @t145 @t150 @t124)) % 0.37/0.62 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 0.37/0.62 (assume @p2 (forall @t12 (=> @t11 (=> (and @t8 @t10) @t9)))) % 0.37/0.62 (assume @p3 (forall @t14 (=> (and @t13 (tptp.symmetric @t1) (tptp.transitive @t1)) (and @t13 (tptp.reflexive @t1))))) % 0.37/0.62 (assume @p4 (forall @t12 (=> @t17 @t15))) % 0.37/0.62 (assume @p5 (forall @t12 (=> @t11 (=> @t19 @t18)))) % 0.37/0.62 (assume @p6 (forall @t12 (=> @t11 (=> @t18 @t19)))) % 0.37/0.62 (assume @p7 (forall @t5 (=> @t27 (=> (and @t24 @t26 @t25 @t22) (and @t24 @t23 @t22 @t21 @t20))))) % 0.37/0.62 (assume @p8 (forall @t5 (=> @t30 (forall @t28 (=> @t11 (=> @t9 (and @t8 @t10 @t7))))))) % 0.37/0.62 (assume @p9 (forall @t5 (=> @t34 (forall @t28 (=> @t11 (=> @t9 (and @t8 (not @t31) @t10 @t7))))))) % 0.37/0.62 (assume @p10 @t39) % 0.37/0.62 (assume @p11 true) % 0.37/0.62 (assume @p12 (forall @t14 (and (tptp.v1_partfun1 @t40 @t1 @t1) (tptp.relation_of2_as_subset @t40 @t1 @t1)))) % 0.37/0.62 (assume @p13 (forall @t14 @t42)) % 0.37/0.62 (assume @p14 @t44) % 0.37/0.62 (assume @p15 (forall @t49 (=> @t48 (tptp.element @t46 @t2)))) % 0.37/0.62 (assume @p16 (forall @t12 (=> @t50 @t17))) % 0.37/0.62 (assume @p17 (exists @t14 @t38)) % 0.37/0.62 (assume @p18 (forall @t5 (exists @t28 @t11))) % 0.37/0.62 (assume @p19 (forall @t14 (exists @t51 (tptp.element @t2 @t1)))) % 0.37/0.62 (assume @p20 (forall @t5 (exists @t28 @t50))) % 0.37/0.62 (assume @p21 @t56) % 0.37/0.62 (assume @p22 (forall @t14 (not (tptp.empty @t57)))) % 0.37/0.62 (assume @p23 (tptp.empty tptp.empty_set)) % 0.37/0.62 (assume @p24 (forall @t14 (and @t42 (tptp.function @t41) (tptp.reflexive @t41) (tptp.symmetric @t41) (tptp.antisymmetric @t41) (tptp.transitive @t41)))) % 0.37/0.62 (assume @p25 (forall @t5 (=> @t34 (not (tptp.empty @t16))))) % 0.37/0.62 (assume @p26 (forall @t5 (exists @t28 (and @t11 @t15 @t8 @t7)))) % 0.37/0.62 (assume @p27 (exists @t14 (and @t13 (tptp.function @t1) (tptp.one_to_one @t1) @t32))) % 0.37/0.62 (assume @p28 (forall @t14 (=> @t33 (exists @t51 (and @t58 @t30))))) % 0.37/0.62 (assume @p29 (exists @t14 @t32)) % 0.37/0.62 (assume @p30 (forall @t14 (exists @t51 (and @t27 @t59 @t24 @t23 @t22 @t21 @t20)))) % 0.37/0.62 (assume @p31 (forall @t5 (exists @t28 (and @t11 @t15 @t8)))) % 0.37/0.62 (assume @p32 (forall @t14 (exists @t51 (and @t58 @t29)))) % 0.37/0.62 (assume @p33 (exists @t14 @t33)) % 0.37/0.62 (assume @p34 (forall @t14 (exists @t51 (and @t27 @t59 @t25 (tptp.symmetric @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) @t26)))) % 0.37/0.62 (assume @p35 (exists @t14 (and @t38 @t54))) % 0.37/0.62 (assume @p36 (forall @t14 (=> @t55 (exists @t51 (and (tptp.element @t2 (tptp.powerset @t35)) @t30))))) % 0.37/0.62 (assume @p37 (forall @t14 (= @t40 @t41))) % 0.37/0.62 (assume @p38 @t61) % 0.37/0.62 (assume @p39 @t62) % 0.37/0.62 (assume @p40 (forall @t5 (tptp.subset @t1 @t1))) % 0.37/0.62 (assume @p41 (forall @t5 (=> @t4 @t63))) % 0.37/0.62 (assume @p42 @t65) % 0.37/0.62 (assume @p43 @t68) % 0.37/0.62 (assume @p44 (forall @t5 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.62 (assume @p45 (forall @t12 (=> (and @t4 @t69) (tptp.element @t1 @t6)))) % 0.37/0.62 (assume @p46 (forall @t12 (not (and @t4 @t69 @t31)))) % 0.37/0.62 (assume @p47 (forall @t14 (=> @t32 (= @t1 tptp.empty_set)))) % 0.37/0.62 (assume @p48 (forall @t5 (not (and @t4 @t29)))) % 0.37/0.62 (assume @p49 (forall @t5 (not (and @t32 (not (= @t1 @t2)) @t29)))) % 0.37/0.62 (assume @p50 @t76) % 0.37/0.62 (step @p51 :rule aci_norm :args ((= @t83 @t81))) % 0.37/0.62 (step @p52 :rule cong :premises (@p51) :args (@t85)) % 0.37/0.62 (step @p53 :rule quant-merge-prenex :args ((= (forall @t14 @t87) @t85))) % 0.37/0.62 (step @p54 :rule alpha_equiv :args (@t88 (@list @t77) (@list @t2))) % 0.37/0.62 (step @p55 :rule refl :args (@t80)) % 0.37/0.62 (step @p56 :rule refl :args (@t53)) % 0.37/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t89)) % 0.37/0.62 (step @p58 :rule quant-miniscope-or :args ((= @t87 @t89))) % 0.37/0.62 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.62 (step @p60 :rule symm :premises (@p59)) % 0.37/0.62 (step @p61 :rule cong :premises (@p60) :args ((forall @t14 @t92))) % 0.37/0.62 (step @p62 :rule trans :premises (@p61 @p53)) % 0.37/0.62 (step @p63 :rule trans :premises (@p62 @p52)) % 0.37/0.62 (step @p64 :rule aci_norm :args ((= (or @t93 @t91) @t92))) % 0.37/0.62 (step @p65 :rule refl :args (@t91)) % 0.37/0.62 (step @p66 :rule bool-double-not-elim :args (@t53)) % 0.37/0.62 (step @p67 :rule nary_cong :premises (@p66 @p55) :args ((or (not @t54) @t80))) % 0.37/0.62 (step @p68 :rule bool-and-de-morgan :args (@t54 @t38 true)) % 0.37/0.62 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.62 (step @p70 :rule nary_cong :premises (@p69 @p65) :args ((or @t94 @t91))) % 0.37/0.62 (step @p71 :rule trans :premises (@p70 @p64)) % 0.37/0.62 (step @p72 :rule bool-impl-elim :args (@t55 @t91)) % 0.37/0.62 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.62 (step @p74 :rule cong :premises (@p73) :args ((forall @t14 (=> @t55 @t91)))) % 0.37/0.62 (step @p75 :rule trans :premises (@p74 @p63)) % 0.37/0.62 (step @p76 :rule bool-impl-elim :args (@t71 @t90)) % 0.37/0.62 (step @p77 :rule cong :premises (@p76) :args ((forall @t51 (=> @t71 @t90)))) % 0.37/0.62 (step @p78 :rule eq-symm :args (@t70 @t2)) % 0.37/0.62 (step @p79 :rule refl :args (@t71)) % 0.37/0.62 (step @p80 :rule cong :premises (@p79 @p78) :args (@t72)) % 0.37/0.62 (step @p81 :rule cong :premises (@p80) :args (@t73)) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p77)) % 0.37/0.62 (step @p83 :rule refl :args (@t55)) % 0.37/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args (@t74)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84) :args (@t75)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p75)) % 0.37/0.62 (step @p87 :rule cong :premises (@p86) :args (@t76)) % 0.37/0.62 (step @p88 :rule eq_resolve :premises (@p50 @p87)) % 0.37/0.62 (step @p89 :rule skolemize :premises (@p88)) % 0.37/0.62 (step @p90 :rule cnf_or_neg :args (@t107 3)) % 0.37/0.62 (step @p91 :rule 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@t113)))) % 0.37/0.62 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p95) :args (@t112 @t114 (@list @t104 @t113))) % 0.37/0.62 (step @p106 :rule instantiate :premises (@p37) :args ((@list @t99))) % 0.37/0.62 (step @p107 :rule bool-impl-elim :args (@t3 @t115)) % 0.37/0.62 (step @p108 :rule cong :premises (@p107) :args ((forall @t5 (=> @t3 @t115)))) % 0.37/0.62 (step @p109 :rule eq-symm :args (@t66 @t2)) % 0.37/0.62 (step @p110 :rule refl :args (@t3)) % 0.37/0.62 (step @p111 :rule cong :premises (@p110 @p109) :args (@t67)) % 0.37/0.62 (step @p112 :rule cong :premises (@p111) :args (@t68)) % 0.37/0.62 (step @p113 :rule trans :premises (@p112 @p108)) % 0.37/0.62 (step @p114 :rule eq_resolve :premises (@p43 @p113)) % 0.37/0.62 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t99 @t96))) % 0.37/0.62 (step @p116 :rule aci_norm :args ((= (or @t116 @t64) (or @t116 @t29 @t4)))) % 0.37/0.62 (step @p117 :rule bool-impl-elim :args (@t63 @t64)) % 0.37/0.62 (step @p118 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@p89) :args ((not @t106) @t108 @t109)) % 0.37/0.62 (step @p133 :rule cnf_or_pos :args (@t119)) % 0.37/0.62 (step @p134 :rule reordering :premises (@p133) :args ((or @t106 @t105 @t118 (not @t119)))) % 0.37/0.62 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p102 @p130) :args (@t118 (@list true false false) (@list @t106 @t104 @t119))) % 0.37/0.62 (step @p136 :rule bool-double-not-elim :args (@t102)) % 0.37/0.62 (step @p137 :rule nary_cong :premises (@p97 @p136) :args ((or @t107 (not @t103)))) % 0.37/0.62 (step @p138 :rule cnf_or_neg :args (@t107 2)) % 0.37/0.62 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.37/0.62 (step @p140 :rule reordering :premises (@p139) :args ((or @t102 @t107))) % 0.37/0.62 (step @p141 :rule chain_m_resolution :premises (@p140 @p89) :args (@t102 @t108 @t109)) % 0.37/0.62 (step @p142 :rule cnf_or_pos :args (@t121)) % 0.37/0.62 (step @p143 :rule reordering :premises (@p142) :args ((or @t103 @t117 @t120 (not @t121)))) % 0.37/0.62 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135 @p121) :args (@t120 (@list false true false) (@list @t102 @t117 @t121))) % 0.37/0.62 (step @p145 :rule cnf_or_pos :args (@t126)) % 0.37/0.62 (step @p146 :rule reordering :premises (@p145) :args ((or @t125 @t124 (not @t126)))) % 0.37/0.62 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p115) :args (@t124 @t114 (@list @t120 @t126))) % 0.37/0.62 (step @p148 :rule aci_norm :args ((= (or (or @t32 @t130 @t129 @t128 @t127) @t60) (or @t32 @t130 @t129 @t128 @t127 @t60)))) % 0.37/0.62 (step @p149 :rule refl :args (@t60)) % 0.37/0.62 (step @p150 :rule refl :args (@t127)) % 0.37/0.62 (step @p151 :rule refl :args (@t128)) % 0.37/0.62 (step @p152 :rule refl :args (@t129)) % 0.37/0.62 (step @p153 :rule refl :args (@t130)) % 0.37/0.62 (step @p154 :rule bool-double-not-elim :args (@t32)) % 0.37/0.62 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150) :args (@t132)) % 0.37/0.62 (step @p156 :rule aci_norm :args ((= (or @t131 (or @t130 (or @t129 (or @t128 @t127)))) @t132))) % 0.37/0.62 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.62 (step @p158 :rule bool-and-de-morgan :args (@t11 @t47 true)) % 0.37/0.62 (step @p159 :rule nary_cong :premises (@p152 @p158) :args ((or @t129 (not (and @t11 @t47))))) % 0.37/0.62 (step @p160 :rule bool-and-de-morgan :args (@t7 @t11 (and @t47))) % 0.37/0.62 (step @p161 :rule trans :premises (@p160 @p159)) % 0.37/0.62 (step @p162 :rule nary_cong :premises (@p153 @p161) :args ((or @t130 (not (and @t7 @t11 @t47))))) % 0.37/0.62 (step @p163 :rule bool-and-de-morgan :args (@t8 @t7 (and @t11 @t47))) % 0.37/0.62 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.62 (step @p165 :rule refl :args (@t131)) % 0.37/0.62 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t131 (not (and @t8 @t7 @t11 @t47))))) % 0.37/0.62 (step @p167 :rule bool-and-de-morgan :args (@t33 @t8 (and @t7 @t11 @t47))) % 0.37/0.62 (step @p168 :rule trans :premises (@p167 @p166)) % 0.37/0.62 (step @p169 :rule trans :premises (@p168 @p157)) % 0.37/0.62 (step @p170 :rule nary_cong :premises (@p169 @p149) :args ((or (not @t48) @t60))) % 0.37/0.62 (step @p171 :rule trans :premises (@p170 @p148)) % 0.37/0.62 (step @p172 :rule bool-impl-elim :args (@t48 @t60)) % 0.37/0.62 (step @p173 :rule trans :premises (@p172 @p171)) % 0.37/0.62 (step @p174 :rule cong :premises (@p173) :args (@t61)) % 0.37/0.62 (step @p175 :rule eq_resolve :premises (@p38 @p174)) % 0.37/0.62 (step @p176 :rule instantiate :premises (@p175) :args ((@list @t99 @t99 @t98 @t96))) % 0.37/0.62 (step @p177 :rule eq-symm :args (@t50 @t11)) % 0.37/0.62 (step @p178 :rule cong :premises (@p177) :args (@t62)) % 0.37/0.62 (step @p179 :rule eq_resolve :premises (@p39 @p178)) % 0.37/0.62 (step @p180 :rule eq-symm :args (@t133 @t134)) % 0.37/0.62 (step @p181 :rule refl :args (@t135)) % 0.37/0.62 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t135 @t136))) % 0.37/0.62 (assume-push @p233 @t135) % 0.37/0.62 (step @p184 :rule instantiate :premises (@p179) :args ((@list @t99 @t99 @t98))) % 0.37/0.62 (step-pop @p234 :rule scope :premises (@p184)) % 0.37/0.62 (step @p185 :rule process_scope :premises (@p234) :args (@t136)) % 0.37/0.62 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 0.37/0.62 (step @p188 :rule implies_elim :premises (@p187)) % 0.37/0.62 (step @p189 :rule chain_m_resolution :premises (@p188 @p179) :args (@t137 @t138 (@list @t135))) % 0.37/0.62 (step @p190 :rule bool-impl-elim :args (@t38 @t43)) % 0.37/0.62 (step @p191 :rule cong :premises (@p190) :args (@t44)) % 0.37/0.62 (step @p192 :rule eq_resolve :premises (@p14 @p191)) % 0.37/0.62 (step @p193 :rule instantiate :premises (@p192) :args (@t110)) % 0.37/0.62 (step @p194 :rule cnf_or_pos :args (@t142)) % 0.37/0.62 (step @p195 :rule reordering :premises (@p194) :args ((or @t105 @t141 (not @t142)))) % 0.37/0.62 (step @p196 :rule chain_m_resolution :premises (@p195 @p102 @p193) :args (@t141 @t114 (@list @t104 @t142))) % 0.37/0.62 (step @p197 :rule cnf_and_pos :args (@t141 2)) % 0.37/0.62 (step @p198 :rule reordering :premises (@p197) :args ((or @t134 @t143))) % 0.37/0.62 (step @p199 :rule chain_m_resolution :premises (@p198 @p196) :args (@t134 @t138 @t144)) % 0.37/0.62 (step @p200 :rule cnf_equiv_pos1 :args (@t137)) % 0.37/0.62 (step @p201 :rule reordering :premises (@p200) :args ((or @t133 (not @t134) (not @t137)))) % 0.37/0.62 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p189) :args (@t133 @t114 (@list @t134 @t137))) % 0.37/0.62 (step @p203 :rule cnf_and_pos :args (@t141 1)) % 0.37/0.62 (step @p204 :rule reordering :premises (@p203) :args ((or @t139 @t143))) % 0.37/0.62 (step @p205 :rule chain_m_resolution :premises (@p204 @p196) :args (@t139 @t138 @t144)) % 0.37/0.62 (step @p206 :rule cnf_and_pos :args (@t141 0)) % 0.37/0.62 (step @p207 :rule reordering :premises (@p206) :args ((or @t140 @t143))) % 0.37/0.62 (step @p208 :rule chain_m_resolution :premises (@p207 @p196) :args (@t140 @t138 @t144)) % 0.37/0.62 (step @p209 :rule cnf_or_pos :args (@t149)) % 0.37/0.62 (step @p210 :rule reordering :premises (@p209) :args ((or @t103 @t117 @t148 @t147 @t146 @t145 (not @t149)))) % 0.37/0.62 (step @p211 :rule chain_m_resolution :premises (@p210 @p141 @p135 @p208 @p205 @p202 @p176) :args (@t145 (@list false true false false false false) (@list @t102 @t117 @t140 @t139 @t133 @t149))) % 0.37/0.62 (assume-push @p235 @t112) % 0.37/0.62 (assume-push @p236 @t145) % 0.37/0.62 (assume-push @p237 @t150) % 0.37/0.62 (assume-push @p238 @t124) % 0.37/0.62 (step @p216 :rule symm :premises (@p211)) % 0.37/0.62 (step @p217 :rule refl :args (@t96)) % 0.37/0.62 (step @p218 :rule symm :premises (@p105)) % 0.37/0.62 (step @p219 :rule symm :premises (@p106)) % 0.37/0.62 (step @p220 :rule trans :premises (@p219 @p218)) % 0.37/0.62 (step @p221 :rule cong :premises (@p220 @p217) :args (@t123)) % 0.37/0.62 (step @p222 :rule trans :premises (@p147 @p221 @p216)) % 0.37/0.62 (step-pop @p239 :rule scope :premises (@p222)) % 0.37/0.62 (step-pop @p240 :rule scope :premises (@p239)) % 0.37/0.62 (step-pop @p241 :rule scope :premises (@p240)) % 0.37/0.62 (step-pop @p242 :rule scope :premises (@p241)) % 0.37/0.62 (step @p223 :rule process_scope :premises (@p242) :args (@t101)) % 0.37/0.62 (step @p228 :rule implies_elim :premises (@p223)) % 0.37/0.62 (step @p229 :rule cnf_and_neg :args (@t151)) % 0.37/0.62 (step @p230 :rule resolution :premises (@p229 @p228) :args (true @t151)) % 0.37/0.62 (step @p231 :rule reordering :premises (@p230) :args ((or @t101 (not @t112) (not @t145) (not @t150) (not @t124)))) % 0.37/0.62 (step @p232 false :rule chain_m_resolution :premises (@p231 @p211 @p147 @p106 @p105 @p91) :args (false (@list false false false false true) (@list @t145 @t124 @t150 @t112 @t101))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------