%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU240+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 08:51:05 AM UTC 2026 % Result : Theorem 0.51s 0.75s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU240+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 % 0.17/0.34 % Computer : n009.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 16:46:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.75 % SZS status Theorem % 0.51/0.75 % SZS output start Proof % 0.51/0.75 ( % 0.51/0.75 (declare-sort $$unsorted 0) % 0.51/0.75 (declare-const tptp.empty_set $$unsorted) % 0.51/0.75 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.function (-> $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.51/0.75 (define @t1 () (@var "A" $$unsorted)) % 0.51/0.75 (define @t2 () (@var "B" $$unsorted)) % 0.51/0.75 (define @t3 () (tptp.in @t1 @t2)) % 0.51/0.75 (define @t4 () (@list @t1 @t2)) % 0.51/0.75 (define @t5 () (tptp.function @t1)) % 0.51/0.75 (define @t6 () (tptp.empty @t1)) % 0.51/0.75 (define @t7 () (@list @t1)) % 0.51/0.75 (define @t8 () (tptp.relation @t1)) % 0.51/0.75 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.51/0.75 (define @t10 () (and @t8 @t6 @t5)) % 0.51/0.75 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.51/0.75 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.51/0.75 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.51/0.75 (define @t14 () (tptp.relation_field @t1)) % 0.51/0.75 (define @t15 () (tptp.transitive @t1)) % 0.51/0.75 (define @t16 () (= @t15 (tptp.is_transitive_in @t1 @t14))) % 0.51/0.75 (define @t17 () (forall @t7 (=> @t8 @t16))) % 0.51/0.75 (define @t18 () (tptp.ordered_pair @t1 @t2)) % 0.51/0.75 (define @t19 () (@var "E" $$unsorted)) % 0.51/0.75 (define @t20 () (@var "C" $$unsorted)) % 0.51/0.75 (define @t21 () (tptp.ordered_pair @t20 @t19)) % 0.51/0.75 (define @t22 () (tptp.in @t21 @t1)) % 0.51/0.75 (define @t23 () (@var "D" $$unsorted)) % 0.51/0.75 (define @t24 () (tptp.ordered_pair @t23 @t19)) % 0.51/0.75 (define @t25 () (tptp.in @t24 @t1)) % 0.51/0.75 (define @t26 () (tptp.ordered_pair @t20 @t23)) % 0.51/0.75 (define @t27 () (tptp.in @t26 @t1)) % 0.51/0.75 (define @t28 () (tptp.in @t19 @t2)) % 0.51/0.75 (define @t29 () (tptp.in @t23 @t2)) % 0.51/0.75 (define @t30 () (tptp.in @t20 @t2)) % 0.51/0.75 (define @t31 () (and @t30 @t29 @t28 @t27 @t25)) % 0.51/0.75 (define @t32 () (@list @t20 @t23 @t19)) % 0.51/0.75 (define @t33 () (forall @t32 (=> @t31 @t22))) % 0.51/0.75 (define @t34 () (tptp.is_transitive_in @t1 @t2)) % 0.51/0.75 (define @t35 () (= @t34 @t33)) % 0.51/0.75 (define @t36 () (@list @t2)) % 0.51/0.75 (define @t37 () (forall @t36 @t35)) % 0.51/0.75 (define @t38 () (=> @t8 @t37)) % 0.51/0.75 (define @t39 () (forall @t7 @t38)) % 0.51/0.75 (define @t40 () (not @t6)) % 0.51/0.75 (define @t41 () (tptp.ordered_pair @t2 @t23)) % 0.51/0.75 (define @t42 () (tptp.in @t41 @t1)) % 0.51/0.75 (define @t43 () (tptp.ordered_pair @t2 @t20)) % 0.51/0.75 (define @t44 () (tptp.in @t43 @t1)) % 0.51/0.75 (define @t45 () (and @t44 @t27)) % 0.51/0.75 (define @t46 () (@list @t2 @t20 @t23)) % 0.51/0.75 (define @t47 () (forall @t46 (=> @t45 @t42))) % 0.51/0.75 (define @t48 () (= @t15 @t47)) % 0.51/0.75 (define @t49 () (=> @t8 @t48)) % 0.51/0.75 (define @t50 () (forall @t7 @t49)) % 0.51/0.75 (define @t51 () (not @t50)) % 0.51/0.75 (define @t52 () (tptp.element @t1 @t2)) % 0.51/0.75 (define @t53 () (tptp.empty @t2)) % 0.51/0.75 (define @t54 () (tptp.relation_field @t20)) % 0.51/0.75 (define @t55 () (and (tptp.in @t1 @t54) (tptp.in @t2 @t54))) % 0.51/0.75 (define @t56 () (tptp.in @t18 @t20)) % 0.51/0.75 (define @t57 () (=> @t56 @t55)) % 0.51/0.75 (define @t58 () (tptp.relation @t20)) % 0.51/0.75 (define @t59 () (forall (@list @t1 @t2 @t20) (=> @t58 @t57))) % 0.51/0.75 (define @t60 () (not @t25)) % 0.51/0.75 (define @t61 () (not @t27)) % 0.51/0.75 (define @t62 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 0.51/0.75 (define @t63 () (= (tptp.is_transitive_in @t1 @t62) (forall @t32 (or (not (tptp.in @t20 @t62)) (not (tptp.in @t23 @t62)) (not (tptp.in @t19 @t62)) @t61 @t60 @t22)))) % 0.51/0.75 (define @t64 () (not @t8)) % 0.51/0.75 (define @t65 () (or @t64 @t63)) % 0.51/0.75 (define @t66 () (@list @t62)) % 0.51/0.75 (define @t67 () (forall @t66 @t65)) % 0.51/0.75 (define @t68 () (forall @t66 @t63)) % 0.51/0.75 (define @t69 () (or @t64 @t68)) % 0.51/0.75 (define @t70 () (not @t28)) % 0.51/0.75 (define @t71 () (not @t29)) % 0.51/0.75 (define @t72 () (not @t30)) % 0.51/0.75 (define @t73 () (or @t72 @t71 @t70 @t61 @t60 @t22)) % 0.51/0.75 (define @t74 () (forall @t36 (= @t34 (forall @t32 @t73)))) % 0.51/0.75 (define @t75 () (or @t72 @t71 @t70 @t61 @t60)) % 0.51/0.75 (define @t76 () (not @t44)) % 0.51/0.75 (define @t77 () (or @t76 @t61 @t42)) % 0.51/0.75 (define @t78 () (= @t15 (forall @t46 @t77))) % 0.51/0.75 (define @t79 () (@quantifiers_skolemize (forall @t7 (or @t64 @t78)) 0)) % 0.51/0.75 (define @t80 () (tptp.relation_field @t79)) % 0.51/0.75 (define @t81 () (tptp.relation @t79)) % 0.51/0.75 (define @t82 () (not (tptp.in @t26 @t79))) % 0.51/0.75 (define @t83 () (forall @t46 (or (not (tptp.in @t43 @t79)) @t82 (tptp.in @t41 @t79)))) % 0.51/0.75 (define @t84 () (tptp.transitive @t79)) % 0.51/0.75 (define @t85 () (= @t84 @t83)) % 0.51/0.75 (define @t86 () (not @t81)) % 0.51/0.75 (define @t87 () (or @t86 @t85)) % 0.51/0.75 (define @t88 () (@list true)) % 0.51/0.75 (define @t89 () (@list @t87)) % 0.51/0.75 (define @t90 () (forall @t32 (or (not (tptp.in @t20 @t80)) (not (tptp.in @t23 @t80)) (not (tptp.in @t19 @t80)) @t82 (not (tptp.in @t24 @t79)) (tptp.in @t21 @t79)))) % 0.51/0.75 (define @t91 () (tptp.is_transitive_in @t79 @t80)) % 0.51/0.75 (define @t92 () (= @t91 @t90)) % 0.51/0.75 (define @t93 () (or @t86 @t92)) % 0.51/0.75 (define @t94 () (@list false false)) % 0.51/0.75 (define @t95 () (= @t84 @t91)) % 0.51/0.75 (define @t96 () (or @t86 @t95)) % 0.51/0.75 (define @t97 () (not @t95)) % 0.51/0.75 (define @t98 () (not @t91)) % 0.51/0.75 (define @t99 () (@quantifiers_skolemize @t90 2)) % 0.51/0.75 (define @t100 () (@quantifiers_skolemize @t90 1)) % 0.51/0.75 (define @t101 () (@quantifiers_skolemize @t90 0)) % 0.51/0.75 (define @t102 () (tptp.in (tptp.ordered_pair @t101 @t99) @t79)) % 0.51/0.75 (define @t103 () (tptp.in (tptp.ordered_pair @t100 @t99) @t79)) % 0.51/0.75 (define @t104 () (not @t103)) % 0.51/0.75 (define @t105 () (tptp.in (tptp.ordered_pair @t101 @t100) @t79)) % 0.51/0.75 (define @t106 () (not @t105)) % 0.51/0.75 (define @t107 () (or @t106 @t104 @t102)) % 0.51/0.75 (define @t108 () (not @t92)) % 0.51/0.75 (define @t109 () (not @t90)) % 0.51/0.75 (define @t110 () (or (not (tptp.in @t101 @t80)) (not (tptp.in @t100 @t80)) (not (tptp.in @t99 @t80)) @t106 @t104 @t102)) % 0.51/0.75 (define @t111 () (not @t110)) % 0.51/0.75 (define @t112 () (not @t56)) % 0.51/0.75 (define @t113 () (not @t58)) % 0.51/0.75 (define @t114 () (@quantifiers_skolemize @t83 2)) % 0.51/0.75 (define @t115 () (@quantifiers_skolemize @t83 1)) % 0.51/0.75 (define @t116 () (not @t83)) % 0.51/0.75 (define @t117 () (@list true false)) % 0.51/0.75 (define @t118 () (@quantifiers_skolemize @t83 0)) % 0.51/0.75 (define @t119 () (tptp.in (tptp.ordered_pair @t118 @t114) @t79)) % 0.51/0.75 (define @t120 () (tptp.in (tptp.ordered_pair @t115 @t114) @t79)) % 0.51/0.75 (define @t121 () (not @t120)) % 0.51/0.75 (define @t122 () (tptp.in (tptp.ordered_pair @t118 @t115) @t79)) % 0.51/0.75 (define @t123 () (not @t122)) % 0.51/0.75 (define @t124 () (or @t123 @t121 @t119)) % 0.51/0.75 (define @t125 () (not @t124)) % 0.51/0.75 (define @t126 () (@list @t124)) % 0.51/0.75 (define @t127 () (tptp.in @t114 @t80)) % 0.51/0.75 (define @t128 () (tptp.in @t115 @t80)) % 0.51/0.75 (define @t129 () (and @t128 @t127)) % 0.51/0.75 (define @t130 () (or @t86 @t121 @t129)) % 0.51/0.75 (define @t131 () (@list false false false)) % 0.51/0.75 (define @t132 () (@list false)) % 0.51/0.75 (define @t133 () (tptp.in @t118 @t80)) % 0.51/0.75 (define @t134 () (and @t133 @t128)) % 0.51/0.75 (define @t135 () (or @t86 @t123 @t134)) % 0.51/0.75 (define @t136 () (not @t134)) % 0.51/0.75 (define @t137 () (@list @t134)) % 0.51/0.75 (define @t138 () (not @t127)) % 0.51/0.75 (define @t139 () (not @t128)) % 0.51/0.75 (define @t140 () (not @t133)) % 0.51/0.75 (define @t141 () (or @t140 @t139 @t138 @t123 @t121 @t119)) % 0.51/0.75 (define @t142 () (not @t141)) % 0.51/0.75 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.51/0.75 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.51/0.75 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.51/0.75 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.51/0.75 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.51/0.75 (assume @p6 @t17) % 0.51/0.75 (assume @p7 (forall @t4 (= @t18 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.51/0.75 (assume @p8 (forall @t7 (=> @t8 (= @t14 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.51/0.75 (assume @p9 @t39) % 0.51/0.75 (assume @p10 true) % 0.51/0.75 (assume @p11 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 0.51/0.75 (assume @p12 (tptp.empty tptp.empty_set)) % 0.51/0.75 (assume @p13 (forall @t4 (not (tptp.empty @t18)))) % 0.51/0.75 (assume @p14 (forall @t4 (=> @t40 (not (tptp.empty @t13))))) % 0.51/0.75 (assume @p15 (forall @t4 (=> @t40 (not (tptp.empty @t12))))) % 0.51/0.75 (assume @p16 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.51/0.75 (assume @p17 @t51) % 0.51/0.75 (assume @p18 (exists @t7 (and @t8 @t5))) % 0.51/0.75 (assume @p19 (exists @t7 @t6)) % 0.51/0.75 (assume @p20 (exists @t7 @t10)) % 0.51/0.75 (assume @p21 (exists @t7 @t40)) % 0.51/0.75 (assume @p22 (exists @t7 @t9)) % 0.51/0.75 (assume @p23 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.51/0.75 (assume @p24 (forall @t4 (=> @t3 @t52))) % 0.51/0.75 (assume @p25 (forall @t4 (=> @t52 (or @t53 @t3)))) % 0.51/0.75 (assume @p26 @t59) % 0.51/0.75 (assume @p27 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.51/0.75 (assume @p28 (forall @t4 (not (and @t3 @t53)))) % 0.51/0.75 (assume @p29 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t53)))) % 0.51/0.75 (step @p30 :rule quant-merge-prenex :args ((= (forall @t7 @t67) (forall (@list @t1 @t62) @t65)))) % 0.51/0.75 (step @p31 :rule alpha_equiv :args (@t68 (@list @t62) (@list @t2))) % 0.51/0.75 (step @p32 :rule refl :args (@t64)) % 0.51/0.75 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t69)) % 0.51/0.75 (step @p34 :rule quant-miniscope-or :args ((= @t67 @t69))) % 0.51/0.75 (step @p35 :rule trans :premises (@p34 @p33)) % 0.51/0.75 (step @p36 :rule symm :premises (@p35)) % 0.51/0.75 (step @p37 :rule cong :premises (@p36) :args ((forall @t7 (or @t64 @t74)))) % 0.51/0.75 (step @p38 :rule trans :premises (@p37 @p30)) % 0.51/0.75 (step @p39 :rule bool-impl-elim :args (@t8 @t74)) % 0.51/0.75 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 (=> @t8 @t74)))) % 0.51/0.75 (step @p41 :rule trans :premises (@p40 @p38)) % 0.51/0.75 (step @p42 :rule aci_norm :args ((= (or @t75 @t22) @t73))) % 0.51/0.75 (step @p43 :rule refl :args (@t22)) % 0.51/0.75 (step @p44 :rule aci_norm :args ((= (or @t72 (or @t71 (or @t70 (or @t61 @t60)))) @t75))) % 0.51/0.75 (step @p45 :rule bool-and-de-morgan :args (@t27 @t25 true)) % 0.51/0.75 (step @p46 :rule refl :args (@t70)) % 0.51/0.75 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t70 (not (and @t27 @t25))))) % 0.51/0.75 (step @p48 :rule bool-and-de-morgan :args (@t28 @t27 (and @t25))) % 0.51/0.75 (step @p49 :rule trans :premises (@p48 @p47)) % 0.51/0.75 (step @p50 :rule refl :args (@t71)) % 0.51/0.75 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t71 (not (and @t28 @t27 @t25))))) % 0.51/0.75 (step @p52 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t25))) % 0.51/0.75 (step @p53 :rule trans :premises (@p52 @p51)) % 0.51/0.75 (step @p54 :rule refl :args (@t72)) % 0.51/0.75 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t72 (not (and @t29 @t28 @t27 @t25))))) % 0.51/0.75 (step @p56 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t25))) % 0.51/0.75 (step @p57 :rule trans :premises (@p56 @p55)) % 0.51/0.75 (step @p58 :rule trans :premises (@p57 @p44)) % 0.51/0.75 (step @p59 :rule nary_cong :premises (@p58 @p43) :args ((or (not @t31) @t22))) % 0.51/0.75 (step @p60 :rule trans :premises (@p59 @p42)) % 0.51/0.75 (step @p61 :rule bool-impl-elim :args (@t31 @t22)) % 0.51/0.75 (step @p62 :rule trans :premises (@p61 @p60)) % 0.51/0.75 (step @p63 :rule cong :premises (@p62) :args (@t33)) % 0.51/0.75 (step @p64 :rule refl :args (@t34)) % 0.51/0.75 (step @p65 :rule cong :premises (@p64 @p63) :args (@t35)) % 0.51/0.75 (step @p66 :rule cong :premises (@p65) :args (@t37)) % 0.51/0.75 (step @p67 :rule refl :args (@t8)) % 0.51/0.75 (step @p68 :rule cong :premises (@p67 @p66) :args (@t38)) % 0.51/0.75 (step @p69 :rule cong :premises (@p68) :args (@t39)) % 0.51/0.75 (step @p70 :rule trans :premises (@p69 @p41)) % 0.51/0.75 (step @p71 :rule eq_resolve :premises (@p9 @p70)) % 0.51/0.75 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t79 @t80))) % 0.51/0.75 (step @p73 :rule bool-impl-elim :args (@t8 @t78)) % 0.51/0.75 (step @p74 :rule cong :premises (@p73) :args ((forall @t7 (=> @t8 @t78)))) % 0.51/0.75 (step @p75 :rule aci_norm :args ((= (or (or @t76 @t61) @t42) @t77))) % 0.51/0.75 (step @p76 :rule refl :args (@t42)) % 0.51/0.75 (step @p77 :rule bool-and-de-morgan :args (@t44 @t27 true)) % 0.51/0.75 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t45) @t42))) % 0.51/0.75 (step @p79 :rule trans :premises (@p78 @p75)) % 0.51/0.75 (step @p80 :rule bool-impl-elim :args (@t45 @t42)) % 0.51/0.75 (step @p81 :rule trans :premises (@p80 @p79)) % 0.51/0.75 (step @p82 :rule cong :premises (@p81) :args (@t47)) % 0.51/0.75 (step @p83 :rule refl :args (@t15)) % 0.51/0.75 (step @p84 :rule cong :premises (@p83 @p82) :args (@t48)) % 0.51/0.75 (step @p85 :rule cong :premises (@p67 @p84) :args (@t49)) % 0.51/0.75 (step @p86 :rule cong :premises (@p85) :args (@t50)) % 0.51/0.75 (step @p87 :rule trans :premises (@p86 @p74)) % 0.51/0.75 (step @p88 :rule cong :premises (@p87) :args (@t51)) % 0.51/0.75 (step @p89 :rule eq_resolve :premises (@p17 @p88)) % 0.51/0.75 (step @p90 :rule skolemize :premises (@p89)) % 0.51/0.75 (step @p91 :rule bool-double-not-elim :args (@t81)) % 0.51/0.75 (step @p92 :rule refl :args (@t87)) % 0.51/0.75 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t87 (not @t86)))) % 0.51/0.75 (step @p94 :rule cnf_or_neg :args (@t87 0)) % 0.51/0.75 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.51/0.75 (step @p96 :rule reordering :premises (@p95) :args ((or @t81 @t87))) % 0.51/0.75 (step @p97 :rule chain_m_resolution :premises (@p96 @p90) :args (@t81 @t88 @t89)) % 0.51/0.75 (step @p98 :rule cnf_or_pos :args (@t93)) % 0.51/0.75 (step @p99 :rule reordering :premises (@p98) :args ((or @t86 @t92 (not @t93)))) % 0.51/0.75 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p72) :args (@t92 @t94 (@list @t81 @t93))) % 0.51/0.75 (step @p101 :rule bool-impl-elim :args (@t8 @t16)) % 0.51/0.75 (step @p102 :rule cong :premises (@p101) :args (@t17)) % 0.51/0.75 (step @p103 :rule eq_resolve :premises (@p6 @p102)) % 0.51/0.75 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t79))) % 0.51/0.75 (step @p105 :rule cnf_or_pos :args (@t96)) % 0.51/0.75 (step @p106 :rule reordering :premises (@p105) :args ((or @t86 @t95 (not @t96)))) % 0.51/0.75 (step @p107 :rule chain_m_resolution :premises (@p106 @p97 @p104) :args (@t95 @t94 (@list @t81 @t96))) % 0.51/0.75 (step @p108 :rule cnf_or_neg :args (@t87 1)) % 0.51/0.75 (step @p109 :rule chain_m_resolution :premises (@p108 @p90) :args ((not @t85) @t88 @t89)) % 0.51/0.75 (step @p110 :rule cnf_equiv_neg1 :args (@t85)) % 0.51/0.75 (step @p111 :rule reordering :premises (@p110) :args ((or @t84 @t83 @t85))) % 0.51/0.75 (step @p112 :rule cnf_equiv_pos2 :args (@t95)) % 0.51/0.75 (step @p113 :rule reordering :premises (@p112) :args ((or @t84 @t98 @t97))) % 0.51/0.75 (assume-push @p213 @t83) % 0.51/0.75 (step @p115 :rule instantiate :premises (@p213) :args ((@list @t101 @t100 @t99))) % 0.51/0.75 (step-pop @p214 :rule scope :premises (@p115)) % 0.51/0.75 (step @p116 :rule process_scope :premises (@p214) :args (@t107)) % 0.51/0.75 (step @p118 :rule implies_elim :premises (@p116)) % 0.51/0.75 (step @p119 :rule cnf_equiv_pos2 :args (@t92)) % 0.51/0.75 (step @p120 :rule reordering :premises (@p119) :args ((or @t91 @t109 @t108))) % 0.51/0.75 (step @p121 :rule refl :args (@t111)) % 0.51/0.75 (step @p122 :rule bool-double-not-elim :args (@t90)) % 0.51/0.75 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t109) @t111))) % 0.51/0.75 (assume-push @p215 @t109) % 0.51/0.75 (step @p125 :rule skolemize :premises (@p215)) % 0.51/0.75 (step-pop @p216 :rule scope :premises (@p125)) % 0.51/0.75 (step @p126 :rule process_scope :premises (@p216) :args (@t111)) % 0.51/0.75 (step @p128 :rule implies_elim :premises (@p126)) % 0.51/0.75 (step @p129 :rule eq_resolve :premises (@p128 @p123)) % 0.51/0.75 (step @p130 :rule bool-double-not-elim :args (@t105)) % 0.51/0.75 (step @p131 :rule refl :args (@t110)) % 0.51/0.75 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t110 (not @t106)))) % 0.51/0.75 (step @p133 :rule cnf_or_neg :args (@t110 3)) % 0.51/0.75 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.51/0.75 (step @p135 :rule reordering :premises (@p134) :args ((or @t105 @t110))) % 0.51/0.75 (step @p136 :rule bool-double-not-elim :args (@t103)) % 0.51/0.75 (step @p137 :rule nary_cong :premises (@p131 @p136) :args ((or @t110 (not @t104)))) % 0.51/0.75 (step @p138 :rule cnf_or_neg :args (@t110 4)) % 0.51/0.75 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.51/0.75 (step @p140 :rule reordering :premises (@p139) :args ((or @t103 @t110))) % 0.51/0.75 (step @p141 :rule cnf_or_neg :args (@t110 5)) % 0.51/0.75 (step @p142 :rule cnf_or_pos :args (@t107)) % 0.51/0.75 (step @p143 :rule reordering :premises (@p142) :args ((or @t106 @t104 @t102 (not @t107)))) % 0.51/0.75 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p140 @p135 @p129 @p120 @p100 @p118 @p113 @p107 @p111 @p109) :args (@t84 (@list true false false true true false false true false false true) (@list @t102 @t103 @t105 @t110 @t90 @t92 @t107 @t91 @t95 @t83 @t85))) % 0.51/0.75 (step @p145 :rule cnf_equiv_pos1 :args (@t95)) % 0.51/0.75 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t84) @t91 @t97))) % 0.51/0.75 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p107) :args (@t91 @t94 (@list @t84 @t95))) % 0.51/0.75 (step @p148 :rule cnf_equiv_pos1 :args (@t92)) % 0.51/0.75 (step @p149 :rule reordering :premises (@p148) :args ((or @t98 @t90 @t108))) % 0.51/0.75 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p100) :args (@t90 @t94 (@list @t91 @t92))) % 0.51/0.75 (step @p151 :rule aci_norm :args ((= (or @t113 (or @t112 @t55)) (or @t113 @t112 @t55)))) % 0.51/0.75 (step @p152 :rule bool-impl-elim :args (@t56 @t55)) % 0.51/0.75 (step @p153 :rule refl :args (@t113)) % 0.51/0.75 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t113 @t57))) % 0.51/0.75 (step @p155 :rule trans :premises (@p154 @p151)) % 0.51/0.75 (step @p156 :rule bool-impl-elim :args (@t58 @t57)) % 0.51/0.75 (step @p157 :rule trans :premises (@p156 @p155)) % 0.51/0.75 (step @p158 :rule cong :premises (@p157) :args (@t59)) % 0.51/0.75 (step @p159 :rule eq_resolve :premises (@p26 @p158)) % 0.51/0.75 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t115 @t114 @t79))) % 0.51/0.75 (step @p161 :rule cnf_equiv_neg2 :args (@t85)) % 0.51/0.75 (step @p162 :rule chain_m_resolution :premises (@p161 @p109 @p144) :args (@t116 @t117 (@list @t85 @t84))) % 0.51/0.75 (step @p163 :rule refl :args (@t125)) % 0.51/0.75 (step @p164 :rule bool-double-not-elim :args (@t83)) % 0.51/0.75 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t116) @t125))) % 0.51/0.75 (assume-push @p217 @t116) % 0.51/0.75 (step @p167 :rule skolemize :premises (@p217)) % 0.51/0.75 (step-pop @p218 :rule scope :premises (@p167)) % 0.51/0.75 (step @p168 :rule process_scope :premises (@p218) :args (@t125)) % 0.51/0.75 (step @p170 :rule implies_elim :premises (@p168)) % 0.51/0.75 (step @p171 :rule eq_resolve :premises (@p170 @p165)) % 0.51/0.75 (step @p172 :rule chain_m_resolution :premises (@p171 @p162) :args (@t125 @t88 (@list @t83))) % 0.51/0.75 (step @p173 :rule bool-double-not-elim :args (@t120)) % 0.51/0.75 (step @p174 :rule refl :args (@t124)) % 0.51/0.75 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t124 (not @t121)))) % 0.51/0.75 (step @p176 :rule cnf_or_neg :args (@t124 1)) % 0.51/0.75 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.51/0.75 (step @p178 :rule reordering :premises (@p177) :args ((or @t120 @t124))) % 0.51/0.75 (step @p179 :rule chain_m_resolution :premises (@p178 @p172) :args (@t120 @t88 @t126)) % 0.51/0.75 (step @p180 :rule cnf_or_pos :args (@t130)) % 0.51/0.75 (step @p181 :rule reordering :premises (@p180) :args ((or @t86 @t121 @t129 (not @t130)))) % 0.51/0.75 (step @p182 :rule chain_m_resolution :premises (@p181 @p97 @p179 @p160) :args (@t129 @t131 (@list @t81 @t120 @t130))) % 0.51/0.75 (step @p183 :rule cnf_and_pos :args (@t129 1)) % 0.51/0.75 (step @p184 :rule reordering :premises (@p183) :args ((or @t127 (not @t129)))) % 0.51/0.75 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args (@t127 @t132 (@list @t129))) % 0.51/0.75 (step @p186 :rule instantiate :premises (@p159) :args ((@list @t118 @t115 @t79))) % 0.51/0.75 (step @p187 :rule bool-double-not-elim :args (@t122)) % 0.51/0.75 (step @p188 :rule nary_cong :premises (@p174 @p187) :args ((or @t124 (not @t123)))) % 0.51/0.75 (step @p189 :rule cnf_or_neg :args (@t124 0)) % 0.51/0.75 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.51/0.75 (step @p191 :rule reordering :premises (@p190) :args ((or @t122 @t124))) % 0.51/0.75 (step @p192 :rule chain_m_resolution :premises (@p191 @p172) :args (@t122 @t88 @t126)) % 0.51/0.75 (step @p193 :rule cnf_or_pos :args (@t135)) % 0.51/0.75 (step @p194 :rule reordering :premises (@p193) :args ((or @t86 @t123 @t134 (not @t135)))) % 0.51/0.75 (step @p195 :rule chain_m_resolution :premises (@p194 @p97 @p192 @p186) :args (@t134 @t131 (@list @t81 @t122 @t135))) % 0.51/0.75 (step @p196 :rule cnf_and_pos :args (@t134 1)) % 0.51/0.75 (step @p197 :rule reordering :premises (@p196) :args ((or @t128 @t136))) % 0.51/0.75 (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t128 @t132 @t137)) % 0.51/0.75 (step @p199 :rule cnf_and_pos :args (@t134 0)) % 0.51/0.75 (step @p200 :rule reordering :premises (@p199) :args ((or @t133 @t136))) % 0.51/0.75 (step @p201 :rule chain_m_resolution :premises (@p200 @p195) :args (@t133 @t132 @t137)) % 0.51/0.75 (step @p202 :rule cnf_or_neg :args (@t124 2)) % 0.51/0.75 (step @p203 :rule chain_m_resolution :premises (@p202 @p172) :args ((not @t119) @t88 @t126)) % 0.51/0.75 (step @p204 :rule cnf_or_pos :args (@t141)) % 0.51/0.75 (step @p205 :rule reordering :premises (@p204) :args ((or @t123 @t121 @t119 @t140 @t139 @t138 @t142))) % 0.51/0.75 (step @p206 :rule chain_m_resolution :premises (@p205 @p192 @p179 @p203 @p201 @p198 @p185) :args (@t142 (@list false false true false false false) (@list @t122 @t120 @t119 @t133 @t128 @t127))) % 0.51/0.75 (assume-push @p219 @t90) % 0.51/0.75 (step @p208 :rule instantiate :premises (@p219) :args ((@list @t118 @t115 @t114))) % 0.51/0.75 (step-pop @p220 :rule scope :premises (@p208)) % 0.51/0.75 (step @p209 :rule process_scope :premises (@p220) :args (@t141)) % 0.51/0.75 (step @p211 :rule implies_elim :premises (@p209)) % 0.51/0.75 (step @p212 false :rule chain_m_resolution :premises (@p211 @p206 @p150) :args (false @t117 (@list @t141 @t90))) % 0.51/0.75 ) % 0.51/0.75 % SZS output end Proof % 0.51/0.75 % cvc5 exiting %------------------------------------------------------------------------------