%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU223+3 : 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 : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:01 AM UTC 2026 % Result : Theorem 1.31s 1.58s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU223+3 : TPTP v9.2.1. Released v3.2.0. % 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 : n025.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 16:43:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.31/1.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.31/1.58 % SZS status Theorem % 1.31/1.58 % SZS output start Proof % 1.31/1.58 ( % 1.31/1.58 (declare-sort $$unsorted 0) % 1.31/1.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.58 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.empty_set $$unsorted) % 1.31/1.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.31/1.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.58 (declare-const tptp.function (-> $$unsorted Bool)) % 1.31/1.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.31/1.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.31/1.58 (define @t1 () (@var "A" $$unsorted)) % 1.31/1.58 (define @t2 () (@var "B" $$unsorted)) % 1.31/1.58 (define @t3 () (@list @t1 @t2)) % 1.31/1.58 (define @t4 () (tptp.relation tptp.empty_set)) % 1.31/1.58 (define @t5 () (tptp.empty tptp.empty_set)) % 1.31/1.58 (define @t6 () (@list @t1)) % 1.31/1.58 (define @t7 () (@list @t2)) % 1.31/1.58 (define @t8 () (tptp.function @t1)) % 1.31/1.58 (define @t9 () (tptp.empty @t1)) % 1.31/1.58 (define @t10 () (tptp.relation @t1)) % 1.31/1.58 (define @t11 () (and @t10 @t8 (tptp.one_to_one @t1))) % 1.31/1.58 (define @t12 () (and @t10 @t9 @t8)) % 1.31/1.58 (define @t13 () (tptp.powerset @t1)) % 1.31/1.58 (define @t14 () (tptp.relation_dom @t1)) % 1.31/1.58 (define @t15 () (tptp.empty @t14)) % 1.31/1.58 (define @t16 () (not @t9)) % 1.31/1.58 (define @t17 () (and @t16 @t10)) % 1.31/1.58 (define @t18 () (tptp.relation_dom_restriction @t1 @t2)) % 1.31/1.58 (define @t19 () (tptp.relation @t18)) % 1.31/1.58 (define @t20 () (and @t10 (tptp.relation_empty_yielding @t1))) % 1.31/1.58 (define @t21 () (tptp.in @t1 @t2)) % 1.31/1.58 (define @t22 () (tptp.empty @t2)) % 1.31/1.58 (define @t23 () (tptp.element @t1 @t2)) % 1.31/1.58 (define @t24 () (@var "C" $$unsorted)) % 1.31/1.58 (define @t25 () (tptp.element @t2 (tptp.powerset @t24))) % 1.31/1.58 (define @t26 () (@list @t1 @t2 @t24)) % 1.31/1.58 (define @t27 () (tptp.set_intersection2 @t1 @t2)) % 1.31/1.58 (define @t28 () (forall @t3 (=> @t10 @t19))) % 1.31/1.58 (define @t29 () (and @t19 (tptp.function @t18))) % 1.31/1.58 (define @t30 () (and @t10 @t8)) % 1.31/1.58 (define @t31 () (forall @t3 (=> @t30 @t29))) % 1.31/1.58 (define @t32 () (tptp.element @t2 @t13)) % 1.31/1.58 (define @t33 () (tptp.relation @t2)) % 1.31/1.58 (define @t34 () (tptp.relation_dom_restriction @t24 @t1)) % 1.31/1.58 (define @t35 () (= (tptp.apply @t34 @t2) (tptp.apply @t24 @t2))) % 1.31/1.58 (define @t36 () (tptp.in @t2 (tptp.relation_dom @t34))) % 1.31/1.58 (define @t37 () (=> @t36 @t35)) % 1.31/1.58 (define @t38 () (tptp.function @t24)) % 1.31/1.58 (define @t39 () (tptp.relation @t24)) % 1.31/1.58 (define @t40 () (and @t39 @t38)) % 1.31/1.58 (define @t41 () (forall @t26 (=> @t40 @t37))) % 1.31/1.58 (define @t42 () (not @t41)) % 1.31/1.58 (define @t43 () (@var "D" $$unsorted)) % 1.31/1.58 (define @t44 () (tptp.apply @t2 @t43)) % 1.31/1.58 (define @t45 () (= @t44 (tptp.apply @t24 @t43))) % 1.31/1.58 (define @t46 () (tptp.relation_dom @t2)) % 1.31/1.58 (define @t47 () (tptp.in @t43 @t46)) % 1.31/1.58 (define @t48 () (@list @t43)) % 1.31/1.58 (define @t49 () (forall @t48 (=> @t47 @t45))) % 1.31/1.58 (define @t50 () (= @t46 (tptp.set_intersection2 (tptp.relation_dom @t24) @t1))) % 1.31/1.58 (define @t51 () (and @t50 @t49)) % 1.31/1.58 (define @t52 () (= @t2 @t34)) % 1.31/1.58 (define @t53 () (= @t52 @t51)) % 1.31/1.58 (define @t54 () (=> @t40 @t53)) % 1.31/1.58 (define @t55 () (@list @t24)) % 1.31/1.58 (define @t56 () (forall @t55 @t54)) % 1.31/1.58 (define @t57 () (tptp.function @t2)) % 1.31/1.58 (define @t58 () (and @t33 @t57)) % 1.31/1.58 (define @t59 () (=> @t58 @t56)) % 1.31/1.58 (define @t60 () (forall @t3 @t59)) % 1.31/1.58 (define @t61 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 1.31/1.58 (define @t62 () (not @t47)) % 1.31/1.58 (define @t63 () (= (= @t2 (tptp.relation_dom_restriction @t61 @t1)) (and (= @t46 (tptp.set_intersection2 (tptp.relation_dom @t61) @t1)) (forall @t48 (or @t62 (= @t44 (tptp.apply @t61 @t43))))))) % 1.31/1.58 (define @t64 () (not (tptp.function @t61))) % 1.31/1.58 (define @t65 () (not (tptp.relation @t61))) % 1.31/1.58 (define @t66 () (not @t57)) % 1.31/1.58 (define @t67 () (not @t33)) % 1.31/1.58 (define @t68 () (or @t67 @t66 @t65 @t64 @t63)) % 1.31/1.58 (define @t69 () (or @t65 @t64 @t63)) % 1.31/1.58 (define @t70 () (or @t67 @t66 @t69)) % 1.31/1.58 (define @t71 () (@list @t1 @t2 @t61)) % 1.31/1.58 (define @t72 () (forall @t71 @t70)) % 1.31/1.58 (define @t73 () (@list @t61)) % 1.31/1.58 (define @t74 () (forall @t73 @t70)) % 1.31/1.58 (define @t75 () (forall @t73 @t69)) % 1.31/1.58 (define @t76 () (or @t67 @t66 @t75)) % 1.31/1.58 (define @t77 () (= @t52 (and @t50 (forall @t48 (or @t62 @t45))))) % 1.31/1.58 (define @t78 () (not @t38)) % 1.31/1.58 (define @t79 () (not @t39)) % 1.31/1.58 (define @t80 () (or @t79 @t78 @t77)) % 1.31/1.58 (define @t81 () (forall @t55 @t80)) % 1.31/1.58 (define @t82 () (or @t67 @t66 @t81)) % 1.31/1.58 (define @t83 () (or @t79 @t78)) % 1.31/1.58 (define @t84 () (not @t40)) % 1.31/1.58 (define @t85 () (not @t36)) % 1.31/1.58 (define @t86 () (or @t79 @t78 @t85 @t35)) % 1.31/1.58 (define @t87 () (forall @t26 @t86)) % 1.31/1.58 (define @t88 () (@quantifiers_skolemize @t87 0)) % 1.31/1.58 (define @t89 () (@quantifiers_skolemize @t87 2)) % 1.31/1.58 (define @t90 () (tptp.relation_dom_restriction @t89 @t88)) % 1.31/1.58 (define @t91 () (tptp.apply @t90 @t43)) % 1.31/1.58 (define @t92 () (tptp.apply @t89 @t43)) % 1.31/1.58 (define @t93 () (tptp.relation_dom @t90)) % 1.31/1.58 (define @t94 () (not (tptp.in @t43 @t93))) % 1.31/1.58 (define @t95 () (forall @t48 (or @t94 (= @t92 @t91)))) % 1.31/1.58 (define @t96 () (= @t93 (tptp.set_intersection2 (tptp.relation_dom @t89) @t88))) % 1.31/1.58 (define @t97 () (and @t96 @t95)) % 1.31/1.58 (define @t98 () (or @t94 (= @t91 @t92))) % 1.31/1.58 (define @t99 () (forall @t48 @t98)) % 1.31/1.58 (define @t100 () (and @t96 @t99)) % 1.31/1.58 (define @t101 () (= (= @t90 @t90) @t100)) % 1.31/1.58 (define @t102 () (tptp.function @t89)) % 1.31/1.58 (define @t103 () (not @t102)) % 1.31/1.58 (define @t104 () (tptp.relation @t89)) % 1.31/1.58 (define @t105 () (not @t104)) % 1.31/1.58 (define @t106 () (tptp.function @t90)) % 1.31/1.58 (define @t107 () (not @t106)) % 1.31/1.58 (define @t108 () (tptp.relation @t90)) % 1.31/1.58 (define @t109 () (not @t108)) % 1.31/1.58 (define @t110 () (or @t109 @t107 @t105 @t103 @t101)) % 1.31/1.58 (define @t111 () (forall @t71 @t68)) % 1.31/1.58 (define @t112 () (or @t109 @t107 @t105 @t103 @t97)) % 1.31/1.58 (define @t113 () (@list false)) % 1.31/1.58 (define @t114 () (not @t8)) % 1.31/1.58 (define @t115 () (not @t10)) % 1.31/1.58 (define @t116 () (@list @t89 @t88)) % 1.31/1.58 (define @t117 () (@quantifiers_skolemize @t87 1)) % 1.31/1.58 (define @t118 () (tptp.apply @t89 @t117)) % 1.31/1.58 (define @t119 () (tptp.apply @t90 @t117)) % 1.31/1.58 (define @t120 () (= @t119 @t118)) % 1.31/1.58 (define @t121 () (tptp.in @t117 @t93)) % 1.31/1.58 (define @t122 () (not @t121)) % 1.31/1.58 (define @t123 () (or @t105 @t103 @t122 @t120)) % 1.31/1.58 (define @t124 () (@list true)) % 1.31/1.58 (define @t125 () (@list @t123)) % 1.31/1.58 (define @t126 () (and @t108 @t106)) % 1.31/1.58 (define @t127 () (or @t105 @t103 @t126)) % 1.31/1.58 (define @t128 () (or @t105 @t108)) % 1.31/1.58 (define @t129 () (or @t122 @t120)) % 1.31/1.58 (define @t130 () (not @t129)) % 1.31/1.58 (define @t131 () (or @t122 (= @t118 @t119))) % 1.31/1.58 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 1.31/1.58 (assume @p2 (and @t5 @t4)) % 1.31/1.58 (assume @p3 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 1.31/1.58 (assume @p4 @t5) % 1.31/1.58 (assume @p5 (forall @t6 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.31/1.58 (assume @p6 (forall @t6 (exists @t7 (tptp.element @t2 @t1)))) % 1.31/1.58 (assume @p7 (forall @t6 (=> @t9 @t8))) % 1.31/1.58 (assume @p8 (forall @t6 (=> @t12 @t11))) % 1.31/1.58 (assume @p9 (forall @t6 (not (tptp.empty @t13)))) % 1.31/1.58 (assume @p10 (forall @t6 (=> @t17 (not @t15)))) % 1.31/1.58 (assume @p11 (forall @t6 (=> @t9 (and @t15 (tptp.relation @t14))))) % 1.31/1.58 (assume @p12 (forall @t3 (=> @t20 (and @t19 (tptp.relation_empty_yielding @t18))))) % 1.31/1.58 (assume @p13 (forall @t6 (=> @t9 @t10))) % 1.31/1.58 (assume @p14 (forall @t3 (=> @t23 (or @t22 @t21)))) % 1.31/1.58 (assume @p15 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 1.31/1.58 (assume @p16 (forall @t26 (=> (and @t21 @t25) (tptp.element @t1 @t24)))) % 1.31/1.58 (assume @p17 (forall @t26 (not (and @t21 @t25 (tptp.empty @t24))))) % 1.31/1.58 (assume @p18 (forall @t6 (=> @t9 (= @t1 tptp.empty_set)))) % 1.31/1.58 (assume @p19 (forall @t3 (not (and @t9 (not (= @t1 @t2)) @t22)))) % 1.31/1.58 (assume @p20 (forall @t3 (= @t27 (tptp.set_intersection2 @t2 @t1)))) % 1.31/1.58 (assume @p21 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.31/1.58 (assume @p22 (forall @t3 (=> @t21 (not (tptp.in @t2 @t1))))) % 1.31/1.58 (assume @p23 @t28) % 1.31/1.58 (assume @p24 @t31) % 1.31/1.58 (assume @p25 (exists @t6 @t30)) % 1.31/1.58 (assume @p26 (exists @t6 @t12)) % 1.31/1.58 (assume @p27 (exists @t6 @t11)) % 1.31/1.58 (assume @p28 (forall @t6 (=> @t16 (exists @t7 (and @t32 (not @t22)))))) % 1.31/1.58 (assume @p29 (forall @t6 (exists @t7 (and @t32 @t22)))) % 1.31/1.58 (assume @p30 (forall @t3 (=> (and @t10 @t33) (tptp.relation @t27)))) % 1.31/1.58 (assume @p31 (exists @t6 (and @t9 @t10))) % 1.31/1.58 (assume @p32 (exists @t6 @t17)) % 1.31/1.58 (assume @p33 (exists @t6 @t20)) % 1.31/1.58 (assume @p34 (exists @t6 @t9)) % 1.31/1.58 (assume @p35 (exists @t6 @t16)) % 1.31/1.58 (assume @p36 (forall @t3 (=> @t21 @t23))) % 1.31/1.58 (assume @p37 (forall @t3 (not (and @t21 @t22)))) % 1.31/1.58 (assume @p38 @t42) % 1.31/1.58 (assume @p39 @t60) % 1.31/1.58 (assume @p40 true) % 1.31/1.58 (step @p41 :rule aci_norm :args ((= @t70 @t68))) % 1.31/1.58 (step @p42 :rule cong :premises (@p41) :args (@t72)) % 1.31/1.58 (step @p43 :rule quant-merge-prenex :args ((= (forall @t3 @t74) @t72))) % 1.31/1.58 (step @p44 :rule alpha_equiv :args (@t75 (@list @t61) (@list @t24))) % 1.31/1.58 (step @p45 :rule refl :args (@t66)) % 1.31/1.58 (step @p46 :rule refl :args (@t67)) % 1.31/1.58 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t76)) % 1.31/1.58 (step @p48 :rule quant-miniscope-or :args ((= @t74 @t76))) % 1.31/1.58 (step @p49 :rule trans :premises (@p48 @p47)) % 1.31/1.58 (step @p50 :rule symm :premises (@p49)) % 1.31/1.58 (step @p51 :rule cong :premises (@p50) :args ((forall @t3 @t82))) % 1.31/1.58 (step @p52 :rule trans :premises (@p51 @p43)) % 1.31/1.58 (step @p53 :rule trans :premises (@p52 @p42)) % 1.31/1.58 (step @p54 :rule aci_norm :args ((= (or (or @t67 @t66) @t81) @t82))) % 1.31/1.58 (step @p55 :rule refl :args (@t81)) % 1.31/1.58 (step @p56 :rule bool-and-de-morgan :args (@t33 @t57 true)) % 1.31/1.58 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t58) @t81))) % 1.31/1.58 (step @p58 :rule trans :premises (@p57 @p54)) % 1.31/1.58 (step @p59 :rule bool-impl-elim :args (@t58 @t81)) % 1.31/1.58 (step @p60 :rule trans :premises (@p59 @p58)) % 1.31/1.58 (step @p61 :rule cong :premises (@p60) :args ((forall @t3 (=> @t58 @t81)))) % 1.31/1.58 (step @p62 :rule trans :premises (@p61 @p53)) % 1.31/1.58 (step @p63 :rule aci_norm :args ((= (or @t83 @t77) @t80))) % 1.31/1.58 (step @p64 :rule refl :args (@t77)) % 1.31/1.58 (step @p65 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 1.31/1.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t84 @t77))) % 1.31/1.58 (step @p67 :rule trans :premises (@p66 @p63)) % 1.31/1.58 (step @p68 :rule bool-impl-elim :args (@t40 @t77)) % 1.31/1.58 (step @p69 :rule trans :premises (@p68 @p67)) % 1.31/1.58 (step @p70 :rule cong :premises (@p69) :args ((forall @t55 (=> @t40 @t77)))) % 1.31/1.58 (step @p71 :rule bool-impl-elim :args (@t47 @t45)) % 1.31/1.58 (step @p72 :rule cong :premises (@p71) :args (@t49)) % 1.31/1.58 (step @p73 :rule refl :args (@t50)) % 1.31/1.58 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t51)) % 1.31/1.58 (step @p75 :rule refl :args (@t52)) % 1.31/1.58 (step @p76 :rule cong :premises (@p75 @p74) :args (@t53)) % 1.31/1.58 (step @p77 :rule refl :args (@t40)) % 1.31/1.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t54)) % 1.31/1.58 (step @p79 :rule cong :premises (@p78) :args (@t56)) % 1.31/1.58 (step @p80 :rule trans :premises (@p79 @p70)) % 1.31/1.58 (step @p81 :rule refl :args (@t58)) % 1.31/1.58 (step @p82 :rule cong :premises (@p81 @p80) :args (@t59)) % 1.31/1.58 (step @p83 :rule cong :premises (@p82) :args (@t60)) % 1.31/1.58 (step @p84 :rule trans :premises (@p83 @p62)) % 1.31/1.58 (step @p85 :rule eq_resolve :premises (@p39 @p84)) % 1.31/1.58 (step @p86 :rule bool-eq-true :args (@t97)) % 1.31/1.58 (step @p87 :rule eq-symm :args (true @t97)) % 1.31/1.58 (step @p88 :rule trans :premises (@p87 @p86)) % 1.31/1.58 (step @p89 :rule eq-symm :args (@t91 @t92)) % 1.31/1.58 (step @p90 :rule refl :args (@t94)) % 1.31/1.58 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t98)) % 1.31/1.58 (step @p92 :rule cong :premises (@p91) :args (@t99)) % 1.31/1.58 (step @p93 :rule refl :args (@t96)) % 1.31/1.58 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t100)) % 1.31/1.58 (step @p95 :rule eq-refl :args (@t90)) % 1.31/1.58 (step @p96 :rule cong :premises (@p95 @p94) :args (@t101)) % 1.31/1.58 (step @p97 :rule trans :premises (@p96 @p88)) % 1.31/1.58 (step @p98 :rule refl :args (@t103)) % 1.31/1.58 (step @p99 :rule refl :args (@t105)) % 1.31/1.58 (step @p100 :rule refl :args (@t107)) % 1.31/1.58 (step @p101 :rule refl :args (@t109)) % 1.31/1.58 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97) :args (@t110)) % 1.31/1.58 (step @p103 :rule refl :args (@t111)) % 1.31/1.58 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t111 @t110))) % 1.31/1.58 (assume-push @p187 @t111) % 1.31/1.58 (step @p106 :rule instantiate :premises (@p85) :args ((@list @t88 @t90 @t89))) % 1.31/1.58 (step-pop @p188 :rule scope :premises (@p106)) % 1.31/1.58 (step @p107 :rule process_scope :premises (@p188) :args (@t110)) % 1.31/1.58 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 1.31/1.58 (step @p110 :rule implies_elim :premises (@p109)) % 1.31/1.58 (step @p111 :rule chain_m_resolution :premises (@p110 @p85) :args (@t112 @t113 (@list @t111))) % 1.31/1.58 (step @p112 :rule aci_norm :args ((= (or (or @t115 @t114) @t29) (or @t115 @t114 @t29)))) % 1.31/1.58 (step @p113 :rule refl :args (@t29)) % 1.31/1.58 (step @p114 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 1.31/1.58 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t30) @t29))) % 1.31/1.58 (step @p116 :rule trans :premises (@p115 @p112)) % 1.31/1.58 (step @p117 :rule bool-impl-elim :args (@t30 @t29)) % 1.31/1.58 (step @p118 :rule trans :premises (@p117 @p116)) % 1.31/1.58 (step @p119 :rule cong :premises (@p118) :args (@t31)) % 1.31/1.58 (step @p120 :rule eq_resolve :premises (@p24 @p119)) % 1.31/1.58 (step @p121 :rule instantiate :premises (@p120) :args (@t116)) % 1.31/1.58 (step @p122 :rule aci_norm :args ((= (or @t83 (or @t85 @t35)) @t86))) % 1.31/1.58 (step @p123 :rule bool-impl-elim :args (@t36 @t35)) % 1.31/1.58 (step @p124 :rule nary_cong :premises (@p65 @p123) :args ((or @t84 @t37))) % 1.31/1.58 (step @p125 :rule trans :premises (@p124 @p122)) % 1.31/1.58 (step @p126 :rule bool-impl-elim :args (@t40 @t37)) % 1.31/1.58 (step @p127 :rule trans :premises (@p126 @p125)) % 1.31/1.58 (step @p128 :rule cong :premises (@p127) :args (@t41)) % 1.31/1.58 (step @p129 :rule cong :premises (@p128) :args (@t42)) % 1.31/1.58 (step @p130 :rule eq_resolve :premises (@p38 @p129)) % 1.31/1.58 (step @p131 :rule skolemize :premises (@p130)) % 1.31/1.58 (step @p132 :rule bool-double-not-elim :args (@t102)) % 1.31/1.58 (step @p133 :rule refl :args (@t123)) % 1.31/1.58 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t123 (not @t103)))) % 1.31/1.58 (step @p135 :rule cnf_or_neg :args (@t123 1)) % 1.31/1.58 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 1.31/1.58 (step @p137 :rule reordering :premises (@p136) :args ((or @t102 @t123))) % 1.31/1.58 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t102 @t124 @t125)) % 1.31/1.58 (step @p139 :rule bool-double-not-elim :args (@t104)) % 1.31/1.58 (step @p140 :rule nary_cong :premises (@p133 @p139) :args ((or @t123 (not @t105)))) % 1.31/1.58 (step @p141 :rule cnf_or_neg :args (@t123 0)) % 1.31/1.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 1.31/1.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t104 @t123))) % 1.31/1.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p131) :args (@t104 @t124 @t125)) % 1.31/1.58 (step @p145 :rule cnf_or_pos :args (@t127)) % 1.31/1.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t105 @t103 @t126 (not @t127)))) % 1.31/1.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p138 @p121) :args (@t126 (@list false false false) (@list @t104 @t102 @t127))) % 1.31/1.58 (step @p148 :rule cnf_and_pos :args (@t126 1)) % 1.31/1.58 (step @p149 :rule reordering :premises (@p148) :args ((or @t106 (not @t126)))) % 1.31/1.58 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t106 @t113 (@list @t126))) % 1.31/1.58 (step @p151 :rule bool-impl-elim :args (@t10 @t19)) % 1.31/1.58 (step @p152 :rule cong :premises (@p151) :args (@t28)) % 1.31/1.58 (step @p153 :rule eq_resolve :premises (@p23 @p152)) % 1.31/1.58 (step @p154 :rule instantiate :premises (@p153) :args (@t116)) % 1.31/1.58 (step @p155 :rule cnf_or_pos :args (@t128)) % 1.31/1.58 (step @p156 :rule reordering :premises (@p155) :args ((or @t105 @t108 (not @t128)))) % 1.31/1.58 (step @p157 :rule chain_m_resolution :premises (@p156 @p144 @p154) :args (@t108 (@list false false) (@list @t104 @t128))) % 1.31/1.58 (step @p158 :rule cnf_or_pos :args (@t112)) % 1.31/1.58 (step @p159 :rule reordering :premises (@p158) :args ((or @t105 @t103 @t109 @t107 @t97 (not @t112)))) % 1.31/1.58 (step @p160 :rule chain_m_resolution :premises (@p159 @p144 @p138 @p157 @p150 @p111) :args (@t97 (@list false false false false false) (@list @t104 @t102 @t108 @t106 @t112))) % 1.31/1.58 (step @p161 :rule cnf_and_pos :args (@t97 1)) % 1.31/1.58 (step @p162 :rule reordering :premises (@p161) :args ((or @t95 (not @t97)))) % 1.31/1.58 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t95 @t113 (@list @t97))) % 1.31/1.58 (step @p164 :rule cnf_or_neg :args (@t123 3)) % 1.31/1.58 (step @p165 :rule chain_m_resolution :premises (@p164 @p131) :args ((not @t120) @t124 @t125)) % 1.31/1.58 (step @p166 :rule bool-double-not-elim :args (@t121)) % 1.31/1.58 (step @p167 :rule nary_cong :premises (@p133 @p166) :args ((or @t123 (not @t122)))) % 1.31/1.58 (step @p168 :rule cnf_or_neg :args (@t123 2)) % 1.31/1.58 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 1.31/1.58 (step @p170 :rule reordering :premises (@p169) :args ((or @t121 @t123))) % 1.31/1.58 (step @p171 :rule chain_m_resolution :premises (@p170 @p131) :args (@t121 @t124 @t125)) % 1.31/1.58 (step @p172 :rule cnf_or_pos :args (@t129)) % 1.31/1.58 (step @p173 :rule reordering :premises (@p172) :args ((or @t122 @t120 @t130))) % 1.31/1.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p165) :args (@t130 (@list false true) (@list @t121 @t120))) % 1.31/1.58 (step @p175 :rule eq-symm :args (@t118 @t119)) % 1.31/1.58 (step @p176 :rule refl :args (@t122)) % 1.31/1.58 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t131)) % 1.31/1.59 (step @p178 :rule refl :args (@t95)) % 1.31/1.59 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t95 @t131))) % 1.31/1.59 (assume-push @p189 @t95) % 1.31/1.59 (step @p181 :rule instantiate :premises (@p163) :args ((@list @t117))) % 1.31/1.59 (step-pop @p190 :rule scope :premises (@p181)) % 1.31/1.59 (step @p182 :rule process_scope :premises (@p190) :args (@t131)) % 1.31/1.59 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 1.31/1.59 (step @p185 :rule implies_elim :premises (@p184)) % 1.31/1.59 (step @p186 false :rule chain_m_resolution :premises (@p185 @p174 @p163) :args (false (@list true false) (@list @t129 @t95))) % 1.31/1.59 ) % 1.31/1.59 % SZS output end Proof % 1.31/1.59 % cvc5 exiting %------------------------------------------------------------------------------