%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU106+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:34 AM UTC 2026 % Result : Theorem 0.43s 0.69s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU106+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 16:29:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.69 % SZS status Theorem % 0.43/0.69 % SZS output start Proof % 0.43/0.69 ( % 0.43/0.69 (declare-sort $$unsorted 0) % 0.43/0.69 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.69 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.43/0.69 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.69 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.69 (declare-const tptp.empty_set $$unsorted) % 0.43/0.69 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.function (-> $$unsorted Bool)) % 0.43/0.69 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.43/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.43/0.69 (define @t3 () (tptp.in @t2 @t1)) % 0.43/0.69 (define @t4 () (not @t3)) % 0.43/0.69 (define @t5 () (tptp.in @t1 @t2)) % 0.43/0.69 (define @t6 () (@list @t1 @t2)) % 0.43/0.69 (define @t7 () (tptp.finite @t1)) % 0.43/0.69 (define @t8 () (tptp.empty @t1)) % 0.43/0.69 (define @t9 () (@list @t1)) % 0.43/0.69 (define @t10 () (tptp.diff_closed @t1)) % 0.43/0.69 (define @t11 () (tptp.cup_closed @t1)) % 0.43/0.69 (define @t12 () (and @t11 @t10)) % 0.43/0.69 (define @t13 () (tptp.preboolean @t1)) % 0.43/0.69 (define @t14 () (tptp.finite @t2)) % 0.43/0.69 (define @t15 () (tptp.powerset @t1)) % 0.43/0.69 (define @t16 () (tptp.element @t2 @t15)) % 0.43/0.69 (define @t17 () (@list @t2)) % 0.43/0.69 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.43/0.69 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.43/0.69 (define @t20 () (tptp.set_intersection2 @t1 @t2)) % 0.43/0.69 (define @t21 () (tptp.symmetric_difference @t1 @t2)) % 0.43/0.69 (define @t22 () (tptp.set_difference @t1 @t2)) % 0.43/0.69 (define @t23 () (tptp.element @t2 @t1)) % 0.43/0.69 (define @t24 () (tptp.finite @t20)) % 0.43/0.69 (define @t25 () (and @t7 @t14)) % 0.43/0.69 (define @t26 () (not @t8)) % 0.43/0.69 (define @t27 () (tptp.empty @t2)) % 0.43/0.69 (define @t28 () (not @t27)) % 0.43/0.69 (define @t29 () (@var "C" $$unsorted)) % 0.43/0.69 (define @t30 () (tptp.set_difference @t2 @t29)) % 0.43/0.69 (define @t31 () (tptp.set_union2 @t2 @t29)) % 0.43/0.69 (define @t32 () (tptp.in @t31 @t1)) % 0.43/0.69 (define @t33 () (and @t32 (tptp.in @t30 @t1))) % 0.43/0.69 (define @t34 () (tptp.in @t29 @t1)) % 0.43/0.69 (define @t35 () (and @t3 @t34)) % 0.43/0.69 (define @t36 () (@list @t2 @t29)) % 0.43/0.69 (define @t37 () (forall @t36 (=> @t35 @t33))) % 0.43/0.69 (define @t38 () (= @t13 @t37)) % 0.43/0.69 (define @t39 () (forall @t9 @t38)) % 0.43/0.69 (define @t40 () (and (tptp.in (tptp.symmetric_difference @t2 @t29) @t1) @t32)) % 0.43/0.69 (define @t41 () (tptp.element @t29 @t1)) % 0.43/0.69 (define @t42 () (@list @t29)) % 0.43/0.69 (define @t43 () (forall @t42 (=> @t41 @t40))) % 0.43/0.69 (define @t44 () (=> @t23 @t43)) % 0.43/0.69 (define @t45 () (forall @t17 @t44)) % 0.43/0.69 (define @t46 () (=> @t45 @t13)) % 0.43/0.69 (define @t47 () (=> @t26 @t46)) % 0.43/0.69 (define @t48 () (forall @t9 @t47)) % 0.43/0.69 (define @t49 () (not @t48)) % 0.43/0.69 (define @t50 () (tptp.element @t1 @t2)) % 0.43/0.69 (define @t51 () (forall @t6 (=> @t5 @t50))) % 0.43/0.69 (define @t52 () (tptp.element @t2 (tptp.powerset @t29))) % 0.43/0.69 (define @t53 () (@list @t1 @t2 @t29)) % 0.43/0.69 (define @t54 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 0.43/0.69 (define @t55 () (tptp.set_union2 @t2 @t54)) % 0.43/0.69 (define @t56 () (tptp.symmetric_difference @t2 @t54)) % 0.43/0.69 (define @t57 () (and (tptp.in @t56 @t1) (tptp.in @t55 @t1))) % 0.43/0.69 (define @t58 () (not (tptp.element @t54 @t1))) % 0.43/0.69 (define @t59 () (not @t23)) % 0.43/0.69 (define @t60 () (or @t59 @t58 @t57)) % 0.43/0.69 (define @t61 () (@list @t2 @t54)) % 0.43/0.69 (define @t62 () (forall @t61 @t60)) % 0.43/0.69 (define @t63 () (not @t62)) % 0.43/0.69 (define @t64 () (or @t8 @t63 @t13)) % 0.43/0.69 (define @t65 () (@quantifiers_skolemize (forall @t9 @t64) 0)) % 0.43/0.69 (define @t66 () (forall @t36 (or (not (tptp.in @t2 @t65)) (not (tptp.in @t29 @t65)) (and (tptp.in @t31 @t65) (tptp.in @t30 @t65))))) % 0.43/0.69 (define @t67 () (@quantifiers_skolemize @t66 1)) % 0.43/0.69 (define @t68 () (@quantifiers_skolemize @t66 0)) % 0.43/0.69 (define @t69 () (@list @t68 @t67)) % 0.43/0.69 (define @t70 () (tptp.set_union2 @t68 @t67)) % 0.43/0.69 (define @t71 () (tptp.symmetric_difference @t68 @t67)) % 0.43/0.69 (define @t72 () (@list @t71 @t70)) % 0.43/0.69 (define @t73 () (tptp.set_intersection2 @t68 @t67)) % 0.43/0.69 (define @t74 () (=> @t62 @t13)) % 0.43/0.69 (define @t75 () (or @t58 @t57)) % 0.43/0.69 (define @t76 () (or @t59 @t75)) % 0.43/0.69 (define @t77 () (forall @t61 @t76)) % 0.43/0.69 (define @t78 () (@list @t54)) % 0.43/0.69 (define @t79 () (forall @t78 @t76)) % 0.43/0.69 (define @t80 () (forall @t78 @t75)) % 0.43/0.69 (define @t81 () (or @t59 @t80)) % 0.43/0.69 (define @t82 () (forall @t42 (or (not @t41) @t40))) % 0.43/0.69 (define @t83 () (forall @t61 (or (not (tptp.element @t2 @t65)) (not (tptp.element @t54 @t65)) (and (tptp.in @t56 @t65) (tptp.in @t55 @t65))))) % 0.43/0.69 (define @t84 () (tptp.preboolean @t65)) % 0.43/0.69 (define @t85 () (not @t83)) % 0.43/0.69 (define @t86 () (or (tptp.empty @t65) @t85 @t84)) % 0.43/0.69 (define @t87 () (@list true)) % 0.43/0.69 (define @t88 () (@list @t86)) % 0.43/0.69 (define @t89 () (not @t34)) % 0.43/0.69 (define @t90 () (= @t84 @t66)) % 0.43/0.69 (define @t91 () (not @t66)) % 0.43/0.69 (define @t92 () (@list true false)) % 0.43/0.69 (define @t93 () (tptp.in @t67 @t65)) % 0.43/0.69 (define @t94 () (tptp.in (tptp.set_difference @t68 @t67) @t65)) % 0.43/0.69 (define @t95 () (tptp.in @t70 @t65)) % 0.43/0.69 (define @t96 () (and @t95 @t94)) % 0.43/0.69 (define @t97 () (not @t93)) % 0.43/0.69 (define @t98 () (tptp.in @t68 @t65)) % 0.43/0.69 (define @t99 () (not @t98)) % 0.43/0.69 (define @t100 () (or @t99 @t97 @t96)) % 0.43/0.69 (define @t101 () (@list @t100)) % 0.43/0.69 (define @t102 () (tptp.element @t67 @t65)) % 0.43/0.69 (define @t103 () (or @t97 @t102)) % 0.43/0.69 (define @t104 () (@list false false)) % 0.43/0.69 (define @t105 () (tptp.element @t68 @t65)) % 0.43/0.69 (define @t106 () (or @t99 @t105)) % 0.43/0.69 (define @t107 () (tptp.in @t71 @t65)) % 0.43/0.69 (define @t108 () (and @t107 @t95)) % 0.43/0.69 (define @t109 () (not @t102)) % 0.43/0.69 (define @t110 () (not @t105)) % 0.43/0.69 (define @t111 () (or @t110 @t109 @t108)) % 0.43/0.69 (define @t112 () (@list false false false)) % 0.43/0.69 (define @t113 () (not @t108)) % 0.43/0.69 (define @t114 () (@list false)) % 0.43/0.69 (define @t115 () (@list @t108)) % 0.43/0.69 (define @t116 () (tptp.in (tptp.symmetric_difference @t68 @t73) @t65)) % 0.43/0.69 (define @t117 () (and @t116 (tptp.in (tptp.set_union2 @t68 @t73) @t65))) % 0.43/0.69 (define @t118 () (not @t117)) % 0.43/0.69 (define @t119 () (tptp.element @t73 @t65)) % 0.43/0.69 (define @t120 () (not @t119)) % 0.43/0.69 (define @t121 () (or @t110 @t120 @t117)) % 0.43/0.69 (define @t122 () (tptp.in @t73 @t65)) % 0.43/0.69 (define @t123 () (not @t122)) % 0.43/0.69 (define @t124 () (or @t123 @t119)) % 0.43/0.69 (define @t125 () (tptp.element @t71 @t65)) % 0.43/0.69 (define @t126 () (not @t107)) % 0.43/0.69 (define @t127 () (or @t126 @t125)) % 0.43/0.69 (define @t128 () (tptp.element @t70 @t65)) % 0.43/0.69 (define @t129 () (not @t95)) % 0.43/0.69 (define @t130 () (or @t129 @t128)) % 0.43/0.69 (define @t131 () (tptp.symmetric_difference @t70 @t71)) % 0.43/0.69 (define @t132 () (tptp.in @t131 @t65)) % 0.43/0.69 (define @t133 () (and @t132 (tptp.in (tptp.set_union2 @t70 @t71) @t65))) % 0.43/0.69 (define @t134 () (not @t125)) % 0.43/0.69 (define @t135 () (not @t128)) % 0.43/0.69 (define @t136 () (or @t135 @t134 @t133)) % 0.43/0.69 (define @t137 () (not @t132)) % 0.43/0.69 (define @t138 () (tptp.set_union2 (tptp.set_difference @t71 @t70) (tptp.set_difference @t70 @t71))) % 0.43/0.69 (define @t139 () (tptp.symmetric_difference @t71 @t70)) % 0.43/0.69 (define @t140 () (= @t139 @t138)) % 0.43/0.69 (define @t141 () (not @t140)) % 0.43/0.69 (define @t142 () (= @t139 @t131)) % 0.43/0.69 (define @t143 () (not @t142)) % 0.43/0.69 (define @t144 () (= @t73 @t139)) % 0.43/0.69 (define @t145 () (not @t144)) % 0.43/0.69 (define @t146 () (and @t144 @t142 @t140 @t123)) % 0.43/0.69 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.43/0.69 (assume @p2 (forall @t9 (=> @t8 @t7))) % 0.43/0.69 (assume @p3 (forall @t9 (=> @t13 @t12))) % 0.43/0.69 (assume @p4 (forall @t9 (=> @t7 (forall @t17 (=> @t16 @t14))))) % 0.43/0.69 (assume @p5 (forall @t9 (=> @t12 @t13))) % 0.43/0.69 (assume @p6 (forall @t6 (= @t19 @t18))) % 0.43/0.69 (assume @p7 (forall @t6 (= @t20 (tptp.set_intersection2 @t2 @t1)))) % 0.43/0.69 (assume @p8 (forall @t6 (= @t21 (tptp.symmetric_difference @t2 @t1)))) % 0.43/0.69 (assume @p9 (forall @t6 (= @t21 (tptp.set_union2 @t22 (tptp.set_difference @t2 @t1))))) % 0.43/0.69 (assume @p10 (forall @t9 (exists @t17 @t23))) % 0.43/0.69 (assume @p11 (forall @t6 (=> @t14 @t24))) % 0.43/0.69 (assume @p12 (forall @t6 (=> @t7 @t24))) % 0.43/0.69 (assume @p13 (forall @t6 (=> @t7 (tptp.finite @t22)))) % 0.43/0.69 (assume @p14 (forall @t6 (=> @t25 (tptp.finite @t21)))) % 0.43/0.69 (assume @p15 (forall @t9 (not (tptp.empty @t15)))) % 0.43/0.69 (assume @p16 (tptp.empty tptp.empty_set)) % 0.43/0.69 (assume @p17 (forall @t6 (=> @t26 (not (tptp.empty @t19))))) % 0.43/0.69 (assume @p18 (forall @t6 (=> @t26 (not (tptp.empty @t18))))) % 0.43/0.69 (assume @p19 (forall @t6 (=> @t25 (tptp.finite @t19)))) % 0.43/0.69 (assume @p20 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.43/0.69 (assume @p21 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.43/0.69 (assume @p22 (exists @t9 (and @t26 @t7))) % 0.43/0.69 (assume @p23 (exists @t9 (and @t26 @t11 (tptp.cap_closed @t1) @t10 @t13))) % 0.43/0.69 (assume @p24 (forall @t9 (=> @t26 (exists @t17 (and @t16 @t28))))) % 0.43/0.69 (assume @p25 (exists @t9 @t8)) % 0.43/0.69 (assume @p26 (forall @t9 (exists @t17 (and @t16 @t27 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t14)))) % 0.43/0.69 (assume @p27 (forall @t9 (exists @t17 (and @t16 @t27)))) % 0.43/0.69 (assume @p28 (exists @t9 @t26)) % 0.43/0.69 (assume @p29 (forall @t9 (=> @t26 (exists @t17 (and @t16 @t28 @t14))))) % 0.43/0.69 (assume @p30 (forall @t6 (tptp.subset @t1 @t1))) % 0.43/0.69 (assume @p31 (forall @t6 (= @t22 (tptp.symmetric_difference @t1 @t20)))) % 0.43/0.69 (assume @p32 @t39) % 0.43/0.69 (assume @p33 @t49) % 0.43/0.69 (assume @p34 (forall @t9 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.43/0.69 (assume @p35 @t51) % 0.43/0.69 (assume @p36 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.43/0.69 (assume @p37 (forall @t6 (=> @t50 (or @t27 @t5)))) % 0.43/0.69 (assume @p38 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.43/0.69 (assume @p39 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.43/0.69 (assume @p40 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.43/0.69 (assume @p41 (forall @t53 (=> (and @t5 @t52) (tptp.element @t1 @t29)))) % 0.43/0.69 (assume @p42 (forall @t9 (= (tptp.symmetric_difference @t1 tptp.empty_set) @t1))) % 0.43/0.69 (assume @p43 (forall @t53 (not (and @t5 @t52 (tptp.empty @t29))))) % 0.43/0.69 (assume @p44 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 0.43/0.69 (assume @p45 (forall @t6 (not (and @t5 @t27)))) % 0.43/0.69 (assume @p46 (forall @t6 (not (and @t8 (not (= @t1 @t2)) @t27)))) % 0.43/0.69 (assume @p47 (forall @t6 (= @t20 (tptp.symmetric_difference @t21 @t19)))) % 0.43/0.69 (assume @p48 true) % 0.43/0.69 (step @p49 :rule instantiate :premises (@p47) :args (@t69)) % 0.43/0.69 (step @p50 :rule instantiate :premises (@p8) :args (@t72)) % 0.43/0.69 (step @p51 :rule instantiate :premises (@p9) :args (@t72)) % 0.43/0.69 (step @p52 :rule bool-impl-elim :args (@t5 @t50)) % 0.43/0.69 (step @p53 :rule cong :premises (@p52) :args (@t51)) % 0.43/0.69 (step @p54 :rule eq_resolve :premises (@p35 @p53)) % 0.43/0.69 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t73 @t65))) % 0.43/0.69 (step @p56 :rule aci_norm :args ((= (or @t8 (or @t63 @t13)) @t64))) % 0.43/0.69 (step @p57 :rule bool-impl-elim :args (@t62 @t13)) % 0.43/0.69 (step @p58 :rule refl :args (@t8)) % 0.43/0.69 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t8 @t74))) % 0.43/0.69 (step @p60 :rule trans :premises (@p59 @p56)) % 0.43/0.69 (step @p61 :rule refl :args (@t74)) % 0.43/0.69 (step @p62 :rule bool-double-not-elim :args (@t8)) % 0.43/0.69 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t26) @t74))) % 0.43/0.69 (step @p64 :rule bool-impl-elim :args (@t26 @t74)) % 0.43/0.69 (step @p65 :rule trans :premises (@p64 @p63)) % 0.43/0.69 (step @p66 :rule trans :premises (@p65 @p60)) % 0.43/0.69 (step @p67 :rule cong :premises (@p66) :args ((forall @t9 (=> @t26 @t74)))) % 0.43/0.69 (step @p68 :rule refl :args (@t13)) % 0.43/0.69 (step @p69 :rule aci_norm :args ((= @t76 @t60))) % 0.43/0.69 (step @p70 :rule cong :premises (@p69) :args (@t77)) % 0.43/0.69 (step @p71 :rule quant-merge-prenex :args ((= (forall @t17 @t79) @t77))) % 0.43/0.69 (step @p72 :rule alpha_equiv :args (@t80 (@list @t54) (@list @t29))) % 0.43/0.69 (step @p73 :rule refl :args (@t59)) % 0.43/0.69 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t81)) % 0.43/0.69 (step @p75 :rule quant-miniscope-or :args ((= @t79 @t81))) % 0.43/0.69 (step @p76 :rule trans :premises (@p75 @p74)) % 0.43/0.69 (step @p77 :rule symm :premises (@p76)) % 0.43/0.69 (step @p78 :rule cong :premises (@p77) :args ((forall @t17 (or @t59 @t82)))) % 0.43/0.69 (step @p79 :rule trans :premises (@p78 @p71)) % 0.43/0.69 (step @p80 :rule trans :premises (@p79 @p70)) % 0.43/0.69 (step @p81 :rule bool-impl-elim :args (@t23 @t82)) % 0.43/0.69 (step @p82 :rule cong :premises (@p81) :args ((forall @t17 (=> @t23 @t82)))) % 0.43/0.69 (step @p83 :rule trans :premises (@p82 @p80)) % 0.43/0.69 (step @p84 :rule bool-impl-elim :args (@t41 @t40)) % 0.43/0.69 (step @p85 :rule cong :premises (@p84) :args (@t43)) % 0.43/0.69 (step @p86 :rule refl :args (@t23)) % 0.43/0.69 (step @p87 :rule cong :premises (@p86 @p85) :args (@t44)) % 0.43/0.69 (step @p88 :rule cong :premises (@p87) :args (@t45)) % 0.43/0.69 (step @p89 :rule trans :premises (@p88 @p83)) % 0.43/0.69 (step @p90 :rule cong :premises (@p89 @p68) :args (@t46)) % 0.43/0.69 (step @p91 :rule refl :args (@t26)) % 0.43/0.69 (step @p92 :rule cong :premises (@p91 @p90) :args (@t47)) % 0.43/0.69 (step @p93 :rule cong :premises (@p92) :args (@t48)) % 0.43/0.69 (step @p94 :rule trans :premises (@p93 @p67)) % 0.43/0.69 (step @p95 :rule cong :premises (@p94) :args (@t49)) % 0.43/0.69 (step @p96 :rule eq_resolve :premises (@p33 @p95)) % 0.43/0.69 (step @p97 :rule skolemize :premises (@p96)) % 0.43/0.69 (step @p98 :rule bool-double-not-elim :args (@t83)) % 0.43/0.69 (step @p99 :rule refl :args (@t86)) % 0.43/0.69 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t86 (not @t85)))) % 0.43/0.69 (step @p101 :rule cnf_or_neg :args (@t86 1)) % 0.43/0.69 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.43/0.69 (step @p103 :rule reordering :premises (@p102) :args ((or @t83 @t86))) % 0.43/0.69 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t83 @t87 @t88)) % 0.43/0.69 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t68 @t73))) % 0.43/0.69 (step @p106 :rule instantiate :premises (@p104) :args (@t69)) % 0.43/0.69 (step @p107 :rule instantiate :premises (@p54) :args ((@list @t67 @t65))) % 0.43/0.69 (step @p108 :rule aci_norm :args ((= (or (or @t4 @t89) @t33) (or @t4 @t89 @t33)))) % 0.43/0.69 (step @p109 :rule refl :args (@t33)) % 0.43/0.69 (step @p110 :rule bool-and-de-morgan :args (@t3 @t34 true)) % 0.43/0.69 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t35) @t33))) % 0.43/0.69 (step @p112 :rule trans :premises (@p111 @p108)) % 0.43/0.69 (step @p113 :rule bool-impl-elim :args (@t35 @t33)) % 0.43/0.69 (step @p114 :rule trans :premises (@p113 @p112)) % 0.43/0.69 (step @p115 :rule cong :premises (@p114) :args (@t37)) % 0.43/0.69 (step @p116 :rule cong :premises (@p68 @p115) :args (@t38)) % 0.43/0.69 (step @p117 :rule cong :premises (@p116) :args (@t39)) % 0.43/0.69 (step @p118 :rule eq_resolve :premises (@p32 @p117)) % 0.43/0.69 (step @p119 :rule instantiate :premises (@p118) :args ((@list @t65))) % 0.43/0.69 (step @p120 :rule cnf_or_neg :args (@t86 2)) % 0.43/0.69 (step @p121 :rule chain_m_resolution :premises (@p120 @p97) :args ((not @t84) @t87 @t88)) % 0.43/0.69 (step @p122 :rule cnf_equiv_pos2 :args (@t90)) % 0.43/0.69 (step @p123 :rule reordering :premises (@p122) :args ((or @t84 @t91 (not @t90)))) % 0.43/0.69 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p119) :args (@t91 @t92 (@list @t84 @t90))) % 0.43/0.69 (step @p125 :rule skolemize :premises (@p124)) % 0.43/0.69 (step @p126 :rule bool-double-not-elim :args (@t93)) % 0.43/0.69 (step @p127 :rule refl :args (@t100)) % 0.43/0.69 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t100 (not @t97)))) % 0.43/0.69 (step @p129 :rule cnf_or_neg :args (@t100 1)) % 0.43/0.69 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.43/0.69 (step @p131 :rule reordering :premises (@p130) :args ((or @t93 @t100))) % 0.43/0.69 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t93 @t87 @t101)) % 0.43/0.69 (step @p133 :rule cnf_or_pos :args (@t103)) % 0.43/0.69 (step @p134 :rule reordering :premises (@p133) :args ((or @t97 @t102 (not @t103)))) % 0.43/0.69 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p107) :args (@t102 @t104 (@list @t93 @t103))) % 0.43/0.69 (step @p136 :rule instantiate :premises (@p54) :args ((@list @t68 @t65))) % 0.43/0.69 (step @p137 :rule bool-double-not-elim :args (@t98)) % 0.43/0.69 (step @p138 :rule nary_cong :premises (@p127 @p137) :args ((or @t100 (not @t99)))) % 0.43/0.69 (step @p139 :rule cnf_or_neg :args (@t100 0)) % 0.43/0.69 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 0.43/0.69 (step @p141 :rule reordering :premises (@p140) :args ((or @t98 @t100))) % 0.43/0.69 (step @p142 :rule chain_m_resolution :premises (@p141 @p125) :args (@t98 @t87 @t101)) % 0.43/0.69 (step @p143 :rule cnf_or_pos :args (@t106)) % 0.43/0.69 (step @p144 :rule reordering :premises (@p143) :args ((or @t99 @t105 (not @t106)))) % 0.43/0.69 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p136) :args (@t105 @t104 (@list @t98 @t106))) % 0.43/0.69 (step @p146 :rule cnf_or_pos :args (@t111)) % 0.43/0.69 (step @p147 :rule reordering :premises (@p146) :args ((or @t110 @t109 @t108 (not @t111)))) % 0.43/0.69 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p135 @p106) :args (@t108 @t112 (@list @t105 @t102 @t111))) % 0.43/0.69 (step @p149 :rule cnf_and_pos :args (@t108 1)) % 0.43/0.69 (step @p150 :rule reordering :premises (@p149) :args ((or @t95 @t113))) % 0.43/0.69 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t95 @t114 @t115)) % 0.43/0.69 (step @p152 :rule cnf_or_neg :args (@t100 2)) % 0.43/0.69 (step @p153 :rule chain_m_resolution :premises (@p152 @p125) :args ((not @t96) @t87 @t101)) % 0.43/0.69 (step @p154 :rule cnf_and_neg :args (@t96)) % 0.43/0.69 (step @p155 :rule chain_m_resolution :premises (@p154 @p153 @p151) :args ((not @t94) @t92 (@list @t96 @t95))) % 0.43/0.69 (step @p156 :rule false_intro :premises (@p155)) % 0.43/0.69 (step @p157 :rule refl :args (@t65)) % 0.43/0.69 (step @p158 :rule instantiate :premises (@p31) :args (@t69)) % 0.43/0.69 (step @p159 :rule symm :premises (@p158)) % 0.43/0.69 (step @p160 :rule cong :premises (@p159 @p157) :args (@t116)) % 0.43/0.69 (step @p161 :rule trans :premises (@p160 @p156)) % 0.43/0.69 (step @p162 :rule false_elim :premises (@p161)) % 0.43/0.69 (step @p163 :rule cnf_and_pos :args (@t117 0)) % 0.43/0.69 (step @p164 :rule reordering :premises (@p163) :args ((or @t116 @t118))) % 0.43/0.69 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t118 @t87 (@list @t116))) % 0.43/0.69 (step @p166 :rule cnf_or_pos :args (@t121)) % 0.43/0.69 (step @p167 :rule reordering :premises (@p166) :args ((or @t110 @t120 @t117 (not @t121)))) % 0.43/0.69 (step @p168 :rule chain_m_resolution :premises (@p167 @p145 @p165 @p105) :args (@t120 (@list false true false) (@list @t105 @t117 @t121))) % 0.43/0.69 (step @p169 :rule cnf_or_pos :args (@t124)) % 0.43/0.69 (step @p170 :rule reordering :premises (@p169) :args ((or @t119 @t123 (not @t124)))) % 0.43/0.69 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p55) :args (@t123 @t92 (@list @t119 @t124))) % 0.43/0.69 (step @p172 :rule instantiate :premises (@p104) :args ((@list @t70 @t71))) % 0.43/0.69 (step @p173 :rule instantiate :premises (@p54) :args ((@list @t71 @t65))) % 0.43/0.69 (step @p174 :rule cnf_and_pos :args (@t108 0)) % 0.43/0.69 (step @p175 :rule reordering :premises (@p174) :args ((or @t107 @t113))) % 0.43/0.69 (step @p176 :rule chain_m_resolution :premises (@p175 @p148) :args (@t107 @t114 @t115)) % 0.43/0.69 (step @p177 :rule cnf_or_pos :args (@t127)) % 0.43/0.69 (step @p178 :rule reordering :premises (@p177) :args ((or @t126 @t125 (not @t127)))) % 0.43/0.69 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p173) :args (@t125 @t104 (@list @t107 @t127))) % 0.43/0.69 (step @p180 :rule instantiate :premises (@p54) :args ((@list @t70 @t65))) % 0.43/0.69 (step @p181 :rule cnf_or_pos :args (@t130)) % 0.43/0.69 (step @p182 :rule reordering :premises (@p181) :args ((or @t129 @t128 (not @t130)))) % 0.43/0.69 (step @p183 :rule chain_m_resolution :premises (@p182 @p151 @p180) :args (@t128 @t104 (@list @t95 @t130))) % 0.43/0.69 (step @p184 :rule cnf_or_pos :args (@t136)) % 0.43/0.69 (step @p185 :rule reordering :premises (@p184) :args ((or @t135 @t134 @t133 (not @t136)))) % 0.43/0.69 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p179 @p172) :args (@t133 @t112 (@list @t128 @t125 @t136))) % 0.43/0.69 (step @p187 :rule cnf_and_pos :args (@t133 0)) % 0.43/0.69 (step @p188 :rule reordering :premises (@p187) :args ((or @t132 (not @t133)))) % 0.43/0.69 (step @p189 :rule chain_m_resolution :premises (@p188 @p186) :args (@t132 @t114 (@list @t133))) % 0.43/0.69 (step @p190 :rule refl :args (@t137)) % 0.43/0.69 (step @p191 :rule bool-double-not-elim :args (@t122)) % 0.43/0.69 (step @p192 :rule refl :args (@t141)) % 0.43/0.69 (step @p193 :rule refl :args (@t143)) % 0.43/0.69 (step @p194 :rule refl :args (@t145)) % 0.43/0.69 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192 @p191 @p190) :args ((or @t145 @t143 @t141 (not @t123) @t137))) % 0.43/0.69 (assume-push @p220 @t144) % 0.43/0.69 (assume-push @p221 @t142) % 0.43/0.69 (assume-push @p222 @t140) % 0.43/0.69 (assume-push @p223 @t123) % 0.43/0.69 (step @p200 :rule false_intro :premises (@p171)) % 0.43/0.69 (step @p201 :rule symm :premises (@p49)) % 0.43/0.69 (step @p202 :rule symm :premises (@p51)) % 0.43/0.69 (step @p203 :rule trans :premises (@p202 @p201)) % 0.43/0.69 (step @p204 :rule cong :premises (@p203 @p157) :args ((tptp.in @t138 @t65))) % 0.43/0.69 (step @p205 :rule symm :premises (@p50)) % 0.43/0.69 (step @p206 :rule trans :premises (@p205 @p51)) % 0.43/0.69 (step @p207 :rule cong :premises (@p206 @p157) :args (@t132)) % 0.43/0.69 (step @p208 :rule trans :premises (@p207 @p204 @p200)) % 0.43/0.69 (step @p209 :rule false_elim :premises (@p208)) % 0.43/0.69 (step-pop @p224 :rule scope :premises (@p209)) % 0.43/0.69 (step-pop @p225 :rule scope :premises (@p224)) % 0.43/0.69 (step-pop @p226 :rule scope :premises (@p225)) % 0.43/0.69 (step-pop @p227 :rule scope :premises (@p226)) % 0.43/0.69 (step @p210 :rule process_scope :premises (@p227) :args (@t137)) % 0.43/0.69 (step @p215 :rule implies_elim :premises (@p210)) % 0.43/0.69 (step @p216 :rule cnf_and_neg :args (@t146)) % 0.43/0.69 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t146)) % 0.43/0.70 (step @p218 :rule eq_resolve :premises (@p217 @p195)) % 0.43/0.70 (step @p219 false :rule chain_m_resolution :premises (@p218 @p189 @p171 @p51 @p50 @p49) :args (false (@list false true false false false) (@list @t132 @t122 @t140 @t142 @t144))) % 0.43/0.70 ) % 0.43/0.70 % SZS output end Proof % 0.43/0.70 % cvc5 exiting %------------------------------------------------------------------------------