%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU253+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 : n009.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 08:51:08 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU253+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 16:47:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.empty_set $$unsorted) % 0.36/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.36/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.62 (define @t4 () (@list @t1 @t2)) % 0.36/0.62 (define @t5 () (tptp.function @t1)) % 0.36/0.62 (define @t6 () (tptp.empty @t1)) % 0.36/0.62 (define @t7 () (@list @t1)) % 0.36/0.62 (define @t8 () (tptp.relation @t1)) % 0.36/0.62 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.36/0.62 (define @t10 () (and @t8 @t6 @t5)) % 0.36/0.62 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.62 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.36/0.62 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.36/0.62 (define @t14 () (tptp.ordered_pair @t1 @t2)) % 0.36/0.62 (define @t15 () (tptp.relation_field @t1)) % 0.36/0.62 (define @t16 () (tptp.cartesian_product2 @t2 @t2)) % 0.36/0.62 (define @t17 () (tptp.relation_restriction @t1 @t2)) % 0.36/0.62 (define @t18 () (@list @t2)) % 0.36/0.62 (define @t19 () (tptp.relation @t17)) % 0.36/0.62 (define @t20 () (forall @t4 (=> @t8 @t19))) % 0.36/0.62 (define @t21 () (not @t6)) % 0.36/0.62 (define @t22 () (@var "C" $$unsorted)) % 0.36/0.62 (define @t23 () (tptp.ordered_pair @t22 @t2)) % 0.36/0.62 (define @t24 () (tptp.in @t23 @t1)) % 0.36/0.62 (define @t25 () (not @t24)) % 0.36/0.62 (define @t26 () (tptp.ordered_pair @t2 @t22)) % 0.36/0.62 (define @t27 () (tptp.in @t26 @t1)) % 0.36/0.62 (define @t28 () (not @t27)) % 0.36/0.62 (define @t29 () (= @t2 @t22)) % 0.36/0.62 (define @t30 () (not @t29)) % 0.36/0.62 (define @t31 () (tptp.in @t22 @t15)) % 0.36/0.62 (define @t32 () (tptp.in @t2 @t15)) % 0.36/0.62 (define @t33 () (@list @t2 @t22)) % 0.36/0.62 (define @t34 () (forall @t33 (not (and @t32 @t31 @t30 @t28 @t25)))) % 0.36/0.62 (define @t35 () (tptp.connected @t1)) % 0.36/0.62 (define @t36 () (= @t35 @t34)) % 0.36/0.62 (define @t37 () (=> @t8 @t36)) % 0.36/0.62 (define @t38 () (forall @t7 @t37)) % 0.36/0.62 (define @t39 () (@var "D" $$unsorted)) % 0.36/0.62 (define @t40 () (tptp.in @t1 @t22)) % 0.36/0.62 (define @t41 () (tptp.relation_restriction @t22 @t2)) % 0.36/0.62 (define @t42 () (= (tptp.in @t1 @t41) (and @t40 (tptp.in @t1 @t16)))) % 0.36/0.62 (define @t43 () (tptp.relation @t22)) % 0.36/0.62 (define @t44 () (@list @t1 @t2 @t22)) % 0.36/0.62 (define @t45 () (forall @t44 (=> @t43 @t42))) % 0.36/0.62 (define @t46 () (and (tptp.in @t1 (tptp.relation_field @t22)) @t3)) % 0.36/0.62 (define @t47 () (tptp.in @t1 (tptp.relation_field @t41))) % 0.36/0.62 (define @t48 () (=> @t47 @t46)) % 0.36/0.62 (define @t49 () (forall @t44 (=> @t43 @t48))) % 0.36/0.62 (define @t50 () (tptp.element @t1 @t2)) % 0.36/0.62 (define @t51 () (tptp.connected (tptp.relation_restriction @t2 @t1))) % 0.36/0.62 (define @t52 () (tptp.connected @t2)) % 0.36/0.62 (define @t53 () (=> @t52 @t51)) % 0.36/0.62 (define @t54 () (tptp.relation @t2)) % 0.36/0.62 (define @t55 () (forall @t4 (=> @t54 @t53))) % 0.36/0.62 (define @t56 () (not @t55)) % 0.36/0.62 (define @t57 () (tptp.empty @t2)) % 0.36/0.62 (define @t58 () (not @t31)) % 0.36/0.62 (define @t59 () (not @t32)) % 0.36/0.62 (define @t60 () (= @t35 (forall @t33 (or @t59 @t58 @t29 @t27 @t24)))) % 0.36/0.62 (define @t61 () (not @t25)) % 0.36/0.62 (define @t62 () (not @t28)) % 0.36/0.62 (define @t63 () (not @t30)) % 0.36/0.62 (define @t64 () (or @t59 @t58 @t63 @t62 @t61)) % 0.36/0.62 (define @t65 () (not @t52)) % 0.36/0.62 (define @t66 () (not @t54)) % 0.36/0.62 (define @t67 () (or @t66 @t65 @t51)) % 0.36/0.62 (define @t68 () (forall @t4 @t67)) % 0.36/0.62 (define @t69 () (@quantifiers_skolemize @t68 0)) % 0.36/0.62 (define @t70 () (@quantifiers_skolemize @t68 1)) % 0.36/0.62 (define @t71 () (tptp.relation_restriction @t70 @t69)) % 0.36/0.62 (define @t72 () (tptp.relation @t70)) % 0.36/0.62 (define @t73 () (tptp.connected @t71)) % 0.36/0.62 (define @t74 () (tptp.connected @t70)) % 0.36/0.62 (define @t75 () (not @t74)) % 0.36/0.62 (define @t76 () (not @t72)) % 0.36/0.62 (define @t77 () (or @t76 @t75 @t73)) % 0.36/0.62 (define @t78 () (@list true)) % 0.36/0.62 (define @t79 () (@list @t77)) % 0.36/0.62 (define @t80 () (tptp.relation @t71)) % 0.36/0.62 (define @t81 () (or @t76 @t80)) % 0.36/0.62 (define @t82 () (@list false false)) % 0.36/0.62 (define @t83 () (tptp.relation_field @t71)) % 0.36/0.62 (define @t84 () (forall @t33 (or (not (tptp.in @t2 @t83)) (not (tptp.in @t22 @t83)) @t29 (tptp.in @t26 @t71) (tptp.in @t23 @t71)))) % 0.36/0.62 (define @t85 () (= @t73 @t84)) % 0.36/0.62 (define @t86 () (not @t80)) % 0.36/0.62 (define @t87 () (or @t86 @t85)) % 0.36/0.62 (define @t88 () (not @t84)) % 0.36/0.62 (define @t89 () (@list true false)) % 0.36/0.62 (define @t90 () (@quantifiers_skolemize @t84 0)) % 0.36/0.62 (define @t91 () (@quantifiers_skolemize @t84 1)) % 0.36/0.62 (define @t92 () (tptp.ordered_pair @t91 @t90)) % 0.36/0.62 (define @t93 () (tptp.in @t92 @t71)) % 0.36/0.62 (define @t94 () (tptp.ordered_pair @t90 @t91)) % 0.36/0.62 (define @t95 () (tptp.in @t94 @t71)) % 0.36/0.62 (define @t96 () (= @t90 @t91)) % 0.36/0.62 (define @t97 () (tptp.in @t91 @t83)) % 0.36/0.62 (define @t98 () (not @t97)) % 0.36/0.62 (define @t99 () (tptp.in @t90 @t83)) % 0.36/0.62 (define @t100 () (not @t99)) % 0.36/0.62 (define @t101 () (or @t100 @t98 @t96 @t95 @t93)) % 0.36/0.62 (define @t102 () (@list @t101)) % 0.36/0.62 (define @t103 () (tptp.relation_field @t70)) % 0.36/0.62 (define @t104 () (forall @t33 (or (not (tptp.in @t2 @t103)) (not (tptp.in @t22 @t103)) @t29 (tptp.in @t26 @t70) (tptp.in @t23 @t70)))) % 0.36/0.62 (define @t105 () (= @t74 @t104)) % 0.36/0.62 (define @t106 () (or @t76 @t105)) % 0.36/0.62 (define @t107 () (not @t47)) % 0.36/0.62 (define @t108 () (not @t43)) % 0.36/0.62 (define @t109 () (tptp.in @t91 @t69)) % 0.36/0.62 (define @t110 () (tptp.in @t91 @t103)) % 0.36/0.62 (define @t111 () (and @t110 @t109)) % 0.36/0.62 (define @t112 () (or @t76 @t98 @t111)) % 0.36/0.62 (define @t113 () (@list false false false)) % 0.36/0.62 (define @t114 () (not @t111)) % 0.36/0.62 (define @t115 () (@list false)) % 0.36/0.62 (define @t116 () (@list @t111)) % 0.36/0.62 (define @t117 () (tptp.in @t90 @t69)) % 0.36/0.62 (define @t118 () (tptp.in @t90 @t103)) % 0.36/0.62 (define @t119 () (and @t118 @t117)) % 0.36/0.62 (define @t120 () (or @t76 @t100 @t119)) % 0.36/0.62 (define @t121 () (not @t119)) % 0.36/0.62 (define @t122 () (@list @t119)) % 0.36/0.62 (define @t123 () (and @t109 @t117)) % 0.36/0.62 (define @t124 () (not @t109)) % 0.36/0.62 (define @t125 () (not @t117)) % 0.36/0.62 (define @t126 () (@list @t117 @t109)) % 0.36/0.62 (define @t127 () (tptp.cartesian_product2 @t69 @t69)) % 0.36/0.62 (define @t128 () (tptp.in @t92 @t127)) % 0.36/0.62 (define @t129 () (= @t128 @t123)) % 0.36/0.62 (define @t130 () (tptp.in @t92 @t70)) % 0.36/0.62 (define @t131 () (and @t130 @t128)) % 0.36/0.62 (define @t132 () (= @t93 @t131)) % 0.36/0.62 (define @t133 () (or @t76 @t132)) % 0.36/0.62 (define @t134 () (not @t131)) % 0.36/0.62 (define @t135 () (and @t117 @t109)) % 0.36/0.62 (define @t136 () (tptp.in @t94 @t127)) % 0.36/0.62 (define @t137 () (= @t136 @t135)) % 0.36/0.62 (define @t138 () (tptp.in @t94 @t70)) % 0.36/0.62 (define @t139 () (and @t138 @t136)) % 0.36/0.62 (define @t140 () (= @t95 @t139)) % 0.36/0.62 (define @t141 () (or @t76 @t140)) % 0.36/0.62 (define @t142 () (not @t139)) % 0.36/0.62 (define @t143 () (not @t110)) % 0.36/0.62 (define @t144 () (not @t118)) % 0.36/0.62 (define @t145 () (or @t144 @t143 @t96 @t138 @t130)) % 0.36/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.62 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.62 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.36/0.62 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.62 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.36/0.62 (assume @p6 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 0.36/0.62 (assume @p7 (forall @t4 (= @t14 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.36/0.62 (assume @p8 (forall @t7 (=> @t8 (= @t15 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.36/0.62 (assume @p9 (forall @t7 (=> @t8 (forall @t18 (= @t17 (tptp.set_intersection2 @t1 @t16)))))) % 0.36/0.62 (assume @p10 true) % 0.36/0.62 (assume @p11 @t20) % 0.36/0.62 (assume @p12 (forall @t7 (exists @t18 (tptp.element @t2 @t1)))) % 0.36/0.62 (assume @p13 (tptp.empty tptp.empty_set)) % 0.36/0.62 (assume @p14 (forall @t4 (not (tptp.empty @t14)))) % 0.36/0.62 (assume @p15 (forall @t4 (=> @t21 (not (tptp.empty @t13))))) % 0.36/0.62 (assume @p16 (forall @t4 (=> @t21 (not (tptp.empty @t12))))) % 0.36/0.62 (assume @p17 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.36/0.62 (assume @p18 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.36/0.62 (assume @p19 @t38) % 0.36/0.62 (assume @p20 (exists @t7 (and @t8 @t5))) % 0.36/0.62 (assume @p21 (exists @t7 @t6)) % 0.36/0.62 (assume @p22 (exists @t7 @t10)) % 0.36/0.62 (assume @p23 (exists @t7 @t21)) % 0.36/0.62 (assume @p24 (exists @t7 @t9)) % 0.36/0.62 (assume @p25 (forall (@list @t1 @t2 @t22 @t39) (= (tptp.in @t14 (tptp.cartesian_product2 @t22 @t39)) (and @t40 (tptp.in @t2 @t39))))) % 0.36/0.62 (assume @p26 @t45) % 0.36/0.62 (assume @p27 @t49) % 0.36/0.62 (assume @p28 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.36/0.62 (assume @p29 (forall @t4 (=> @t3 @t50))) % 0.36/0.62 (assume @p30 @t56) % 0.36/0.62 (assume @p31 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.36/0.62 (assume @p32 (forall @t4 (=> @t50 (or @t57 @t3)))) % 0.36/0.62 (assume @p33 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.62 (assume @p34 (forall @t4 (not (and @t3 @t57)))) % 0.36/0.62 (assume @p35 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t57)))) % 0.36/0.62 (step @p36 :rule bool-impl-elim :args (@t8 @t60)) % 0.36/0.62 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 (=> @t8 @t60)))) % 0.36/0.62 (step @p38 :rule bool-double-not-elim :args (@t24)) % 0.36/0.62 (step @p39 :rule bool-double-not-elim :args (@t27)) % 0.36/0.62 (step @p40 :rule bool-double-not-elim :args (@t29)) % 0.36/0.62 (step @p41 :rule refl :args (@t58)) % 0.36/0.62 (step @p42 :rule refl :args (@t59)) % 0.36/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39 @p38) :args (@t64)) % 0.36/0.62 (step @p44 :rule aci_norm :args ((= (or @t59 (or @t58 (or @t63 (or @t62 @t61)))) @t64))) % 0.36/0.62 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.62 (step @p46 :rule bool-and-de-morgan :args (@t28 @t25 true)) % 0.36/0.62 (step @p47 :rule refl :args (@t63)) % 0.36/0.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t63 (not (and @t28 @t25))))) % 0.36/0.62 (step @p49 :rule bool-and-de-morgan :args (@t30 @t28 (and @t25))) % 0.36/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.62 (step @p51 :rule nary_cong :premises (@p41 @p50) :args ((or @t58 (not (and @t30 @t28 @t25))))) % 0.36/0.62 (step @p52 :rule bool-and-de-morgan :args (@t31 @t30 (and @t28 @t25))) % 0.36/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.62 (step @p54 :rule nary_cong :premises (@p42 @p53) :args ((or @t59 (not (and @t31 @t30 @t28 @t25))))) % 0.36/0.62 (step @p55 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t28 @t25))) % 0.36/0.62 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.62 (step @p57 :rule trans :premises (@p56 @p45)) % 0.36/0.62 (step @p58 :rule cong :premises (@p57) :args (@t34)) % 0.36/0.62 (step @p59 :rule refl :args (@t35)) % 0.36/0.62 (step @p60 :rule cong :premises (@p59 @p58) :args (@t36)) % 0.36/0.62 (step @p61 :rule refl :args (@t8)) % 0.36/0.62 (step @p62 :rule cong :premises (@p61 @p60) :args (@t37)) % 0.36/0.62 (step @p63 :rule cong :premises (@p62) :args (@t38)) % 0.36/0.62 (step @p64 :rule trans :premises (@p63 @p37)) % 0.36/0.62 (step @p65 :rule eq_resolve :premises (@p19 @p64)) % 0.36/0.62 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t71))) % 0.36/0.62 (step @p67 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.62 (step @p68 :rule cong :premises (@p67) :args (@t20)) % 0.36/0.62 (step @p69 :rule eq_resolve :premises (@p11 @p68)) % 0.36/0.62 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t70 @t69))) % 0.36/0.62 (step @p71 :rule aci_norm :args ((= (or @t66 (or @t65 @t51)) @t67))) % 0.36/0.62 (step @p72 :rule bool-impl-elim :args (@t52 @t51)) % 0.36/0.62 (step @p73 :rule refl :args (@t66)) % 0.36/0.62 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t66 @t53))) % 0.36/0.62 (step @p75 :rule trans :premises (@p74 @p71)) % 0.36/0.62 (step @p76 :rule bool-impl-elim :args (@t54 @t53)) % 0.36/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.62 (step @p78 :rule cong :premises (@p77) :args (@t55)) % 0.36/0.62 (step @p79 :rule cong :premises (@p78) :args (@t56)) % 0.36/0.62 (step @p80 :rule eq_resolve :premises (@p30 @p79)) % 0.36/0.62 (step @p81 :rule skolemize :premises (@p80)) % 0.36/0.62 (step @p82 :rule bool-double-not-elim :args (@t72)) % 0.36/0.62 (step @p83 :rule refl :args (@t77)) % 0.36/0.62 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t77 (not @t76)))) % 0.36/0.62 (step @p85 :rule cnf_or_neg :args (@t77 0)) % 0.36/0.62 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.36/0.62 (step @p87 :rule reordering :premises (@p86) :args ((or @t72 @t77))) % 0.36/0.62 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t72 @t78 @t79)) % 0.36/0.62 (step @p89 :rule cnf_or_pos :args (@t81)) % 0.36/0.62 (step @p90 :rule reordering :premises (@p89) :args ((or @t76 @t80 (not @t81)))) % 0.36/0.62 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p70) :args (@t80 @t82 (@list @t72 @t81))) % 0.36/0.62 (step @p92 :rule cnf_or_pos :args (@t87)) % 0.36/0.62 (step @p93 :rule reordering :premises (@p92) :args ((or @t86 @t85 (not @t87)))) % 0.36/0.62 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p66) :args (@t85 @t82 (@list @t80 @t87))) % 0.36/0.62 (step @p95 :rule cnf_or_neg :args (@t77 2)) % 0.36/0.62 (step @p96 :rule chain_m_resolution :premises (@p95 @p81) :args ((not @t73) @t78 @t79)) % 0.36/0.62 (step @p97 :rule cnf_equiv_pos2 :args (@t85)) % 0.36/0.62 (step @p98 :rule reordering :premises (@p97) :args ((or @t73 @t88 (not @t85)))) % 0.36/0.62 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p94) :args (@t88 @t89 (@list @t73 @t85))) % 0.36/0.62 (step @p100 :rule skolemize :premises (@p99)) % 0.36/0.62 (step @p101 :rule cnf_or_neg :args (@t101 2)) % 0.36/0.62 (step @p102 :rule chain_m_resolution :premises (@p101 @p100) :args ((not @t96) @t78 @t102)) % 0.36/0.62 (step @p103 :rule instantiate :premises (@p65) :args ((@list @t70))) % 0.36/0.62 (step @p104 :rule cnf_or_pos :args (@t106)) % 0.36/0.62 (step @p105 :rule reordering :premises (@p104) :args ((or @t76 @t105 (not @t106)))) % 0.36/0.62 (step @p106 :rule chain_m_resolution :premises (@p105 @p88 @p103) :args (@t105 @t82 (@list @t72 @t106))) % 0.36/0.62 (step @p107 :rule bool-double-not-elim :args (@t74)) % 0.36/0.62 (step @p108 :rule nary_cong :premises (@p83 @p107) :args ((or @t77 (not @t75)))) % 0.36/0.62 (step @p109 :rule cnf_or_neg :args (@t77 1)) % 0.36/0.62 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.36/0.62 (step @p111 :rule reordering :premises (@p110) :args ((or @t74 @t77))) % 0.36/0.62 (step @p112 :rule chain_m_resolution :premises (@p111 @p81) :args (@t74 @t78 @t79)) % 0.36/0.62 (step @p113 :rule cnf_equiv_pos1 :args (@t105)) % 0.36/0.62 (step @p114 :rule reordering :premises (@p113) :args ((or @t75 @t104 (not @t105)))) % 0.36/0.62 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p106) :args (@t104 @t82 (@list @t74 @t105))) % 0.36/0.62 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t90 @t91))) % 0.36/0.62 (step @p117 :rule aci_norm :args ((= (or @t108 (or @t107 @t46)) (or @t108 @t107 @t46)))) % 0.36/0.62 (step @p118 :rule bool-impl-elim :args (@t47 @t46)) % 0.36/0.62 (step @p119 :rule refl :args (@t108)) % 0.36/0.62 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t108 @t48))) % 0.36/0.62 (step @p121 :rule trans :premises (@p120 @p117)) % 0.36/0.62 (step @p122 :rule bool-impl-elim :args (@t43 @t48)) % 0.36/0.62 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.62 (step @p124 :rule cong :premises (@p123) :args (@t49)) % 0.36/0.62 (step @p125 :rule eq_resolve :premises (@p27 @p124)) % 0.36/0.62 (step @p126 :rule instantiate :premises (@p125) :args ((@list @t91 @t69 @t70))) % 0.36/0.62 (step @p127 :rule bool-double-not-elim :args (@t97)) % 0.36/0.62 (step @p128 :rule refl :args (@t101)) % 0.36/0.62 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t101 (not @t98)))) % 0.36/0.62 (step @p130 :rule cnf_or_neg :args (@t101 1)) % 0.36/0.62 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.36/0.62 (step @p132 :rule reordering :premises (@p131) :args ((or @t97 @t101))) % 0.36/0.62 (step @p133 :rule chain_m_resolution :premises (@p132 @p100) :args (@t97 @t78 @t102)) % 0.36/0.62 (step @p134 :rule cnf_or_pos :args (@t112)) % 0.36/0.62 (step @p135 :rule reordering :premises (@p134) :args ((or @t76 @t98 @t111 (not @t112)))) % 0.36/0.62 (step @p136 :rule chain_m_resolution :premises (@p135 @p88 @p133 @p126) :args (@t111 @t113 (@list @t72 @t97 @t112))) % 0.36/0.62 (step @p137 :rule cnf_and_pos :args (@t111 0)) % 0.36/0.62 (step @p138 :rule reordering :premises (@p137) :args ((or @t110 @t114))) % 0.36/0.62 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t110 @t115 @t116)) % 0.36/0.62 (step @p140 :rule instantiate :premises (@p125) :args ((@list @t90 @t69 @t70))) % 0.36/0.62 (step @p141 :rule bool-double-not-elim :args (@t99)) % 0.36/0.62 (step @p142 :rule nary_cong :premises (@p128 @p141) :args ((or @t101 (not @t100)))) % 0.36/0.62 (step @p143 :rule cnf_or_neg :args (@t101 0)) % 0.36/0.62 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.36/0.62 (step @p145 :rule reordering :premises (@p144) :args ((or @t99 @t101))) % 0.36/0.62 (step @p146 :rule chain_m_resolution :premises (@p145 @p100) :args (@t99 @t78 @t102)) % 0.36/0.62 (step @p147 :rule cnf_or_pos :args (@t120)) % 0.36/0.62 (step @p148 :rule reordering :premises (@p147) :args ((or @t76 @t100 @t119 (not @t120)))) % 0.36/0.62 (step @p149 :rule chain_m_resolution :premises (@p148 @p88 @p146 @p140) :args (@t119 @t113 (@list @t72 @t99 @t120))) % 0.36/0.62 (step @p150 :rule cnf_and_pos :args (@t119 0)) % 0.36/0.62 (step @p151 :rule reordering :premises (@p150) :args ((or @t118 @t121))) % 0.36/0.62 (step @p152 :rule chain_m_resolution :premises (@p151 @p149) :args (@t118 @t115 @t122)) % 0.36/0.62 (step @p153 :rule instantiate :premises (@p25) :args ((@list @t91 @t90 @t69 @t69))) % 0.36/0.62 (step @p154 :rule cnf_and_pos :args (@t111 1)) % 0.36/0.62 (step @p155 :rule reordering :premises (@p154) :args ((or @t109 @t114))) % 0.36/0.62 (step @p156 :rule chain_m_resolution :premises (@p155 @p136) :args (@t109 @t115 @t116)) % 0.36/0.62 (step @p157 :rule cnf_and_pos :args (@t119 1)) % 0.36/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t117 @t121))) % 0.36/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p149) :args (@t117 @t115 @t122)) % 0.36/0.62 (step @p160 :rule cnf_and_neg :args (@t123)) % 0.36/0.62 (step @p161 :rule reordering :premises (@p160) :args ((or @t125 @t124 @t123))) % 0.36/0.62 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p156) :args (@t123 @t82 @t126)) % 0.36/0.62 (step @p163 :rule cnf_equiv_pos2 :args (@t129)) % 0.36/0.62 (step @p164 :rule reordering :premises (@p163) :args ((or @t128 (not @t123) (not @t129)))) % 0.36/0.62 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p153) :args (@t128 @t82 (@list @t123 @t129))) % 0.36/0.62 (step @p166 :rule bool-impl-elim :args (@t43 @t42)) % 0.36/0.62 (step @p167 :rule cong :premises (@p166) :args (@t45)) % 0.36/0.62 (step @p168 :rule eq_resolve :premises (@p26 @p167)) % 0.36/0.62 (step @p169 :rule instantiate :premises (@p168) :args ((@list @t92 @t69 @t70))) % 0.36/0.62 (step @p170 :rule cnf_or_pos :args (@t133)) % 0.36/0.62 (step @p171 :rule reordering :premises (@p170) :args ((or @t76 @t132 (not @t133)))) % 0.36/0.62 (step @p172 :rule chain_m_resolution :premises (@p171 @p88 @p169) :args (@t132 @t82 (@list @t72 @t133))) % 0.36/0.62 (step @p173 :rule cnf_or_neg :args (@t101 4)) % 0.36/0.62 (step @p174 :rule chain_m_resolution :premises (@p173 @p100) :args ((not @t93) @t78 @t102)) % 0.36/0.62 (step @p175 :rule cnf_equiv_pos2 :args (@t132)) % 0.36/0.62 (step @p176 :rule reordering :premises (@p175) :args ((or @t93 @t134 (not @t132)))) % 0.36/0.62 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p172) :args (@t134 @t89 (@list @t93 @t132))) % 0.36/0.62 (step @p178 :rule cnf_and_neg :args (@t131)) % 0.36/0.62 (step @p179 :rule chain_m_resolution :premises (@p178 @p177 @p165) :args ((not @t130) @t89 (@list @t131 @t128))) % 0.36/0.62 (step @p180 :rule instantiate :premises (@p25) :args ((@list @t90 @t91 @t69 @t69))) % 0.36/0.62 (step @p181 :rule cnf_and_neg :args (@t135)) % 0.36/0.62 (step @p182 :rule reordering :premises (@p181) :args ((or @t125 @t124 @t135))) % 0.36/0.62 (step @p183 :rule chain_m_resolution :premises (@p182 @p159 @p156) :args (@t135 @t82 @t126)) % 0.36/0.62 (step @p184 :rule cnf_equiv_pos2 :args (@t137)) % 0.36/0.62 (step @p185 :rule reordering :premises (@p184) :args ((or @t136 (not @t135) (not @t137)))) % 0.36/0.62 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p180) :args (@t136 @t82 (@list @t135 @t137))) % 0.36/0.62 (step @p187 :rule instantiate :premises (@p168) :args ((@list @t94 @t69 @t70))) % 0.36/0.62 (step @p188 :rule cnf_or_pos :args (@t141)) % 0.36/0.62 (step @p189 :rule reordering :premises (@p188) :args ((or @t76 @t140 (not @t141)))) % 0.36/0.62 (step @p190 :rule chain_m_resolution :premises (@p189 @p88 @p187) :args (@t140 @t82 (@list @t72 @t141))) % 0.36/0.62 (step @p191 :rule cnf_or_neg :args (@t101 3)) % 0.36/0.62 (step @p192 :rule chain_m_resolution :premises (@p191 @p100) :args ((not @t95) @t78 @t102)) % 0.36/0.62 (step @p193 :rule cnf_equiv_pos2 :args (@t140)) % 0.36/0.62 (step @p194 :rule reordering :premises (@p193) :args ((or @t95 @t142 (not @t140)))) % 0.36/0.62 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p190) :args (@t142 @t89 (@list @t95 @t140))) % 0.36/0.62 (step @p196 :rule cnf_and_neg :args (@t139)) % 0.36/0.62 (step @p197 :rule chain_m_resolution :premises (@p196 @p195 @p186) :args ((not @t138) @t89 (@list @t139 @t136))) % 0.36/0.62 (step @p198 :rule cnf_or_pos :args (@t145)) % 0.36/0.62 (step @p199 :rule reordering :premises (@p198) :args ((or @t96 @t138 @t130 @t144 @t143 (not @t145)))) % 0.36/0.62 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p179 @p152 @p139 @p116 @p102) :args (false (@list true true false false false true) (@list @t138 @t130 @t118 @t110 @t145 @t96))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------