%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM414+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:39:20 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM414+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 11:16:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.empty_set $$unsorted) % 0.38/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.60 (define @t4 () (@list @t1 @t2)) % 0.38/0.60 (define @t5 () (tptp.proper_subset @t2 @t1)) % 0.38/0.60 (define @t6 () (not @t5)) % 0.38/0.60 (define @t7 () (tptp.proper_subset @t1 @t2)) % 0.38/0.60 (define @t8 () (tptp.function @t1)) % 0.38/0.60 (define @t9 () (tptp.empty @t1)) % 0.38/0.60 (define @t10 () (@list @t1)) % 0.38/0.60 (define @t11 () (tptp.epsilon_connected @t1)) % 0.38/0.60 (define @t12 () (tptp.epsilon_transitive @t1)) % 0.38/0.60 (define @t13 () (and @t12 @t11)) % 0.38/0.60 (define @t14 () (tptp.ordinal @t1)) % 0.38/0.60 (define @t15 () (tptp.relation @t1)) % 0.38/0.60 (define @t16 () (tptp.one_to_one @t1)) % 0.38/0.60 (define @t17 () (and @t15 @t8 @t16)) % 0.38/0.60 (define @t18 () (and @t15 @t9 @t8)) % 0.38/0.60 (define @t19 () (and @t12 @t11 @t14)) % 0.38/0.60 (define @t20 () (tptp.ordinal_subset @t2 @t1)) % 0.38/0.60 (define @t21 () (tptp.ordinal_subset @t1 @t2)) % 0.38/0.60 (define @t22 () (or @t21 @t20)) % 0.38/0.60 (define @t23 () (tptp.ordinal @t2)) % 0.38/0.60 (define @t24 () (and @t14 @t23)) % 0.38/0.60 (define @t25 () (forall @t4 (=> @t24 @t22))) % 0.38/0.60 (define @t26 () (= @t1 @t2)) % 0.38/0.60 (define @t27 () (not @t26)) % 0.38/0.60 (define @t28 () (tptp.subset @t1 @t2)) % 0.38/0.60 (define @t29 () (forall @t4 (= @t7 (and @t28 @t27)))) % 0.38/0.60 (define @t30 () (@list @t2)) % 0.38/0.60 (define @t31 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.38/0.60 (define @t32 () (tptp.relation tptp.empty_set)) % 0.38/0.60 (define @t33 () (tptp.empty tptp.empty_set)) % 0.38/0.60 (define @t34 () (not @t9)) % 0.38/0.60 (define @t35 () (tptp.relation_empty_yielding @t1)) % 0.38/0.60 (define @t36 () (= @t21 @t28)) % 0.38/0.60 (define @t37 () (forall @t4 (=> @t24 @t36))) % 0.38/0.60 (define @t38 () (tptp.element @t1 @t2)) % 0.38/0.60 (define @t39 () (tptp.empty @t2)) % 0.38/0.60 (define @t40 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t41 () (tptp.element @t2 (tptp.powerset @t40))) % 0.38/0.60 (define @t42 () (@list @t1 @t2 @t40)) % 0.38/0.60 (define @t43 () (not @t7)) % 0.38/0.60 (define @t44 () (not (and @t43 @t27 @t6))) % 0.38/0.60 (define @t45 () (forall @t30 (=> @t23 @t44))) % 0.38/0.60 (define @t46 () (=> @t14 @t45)) % 0.38/0.60 (define @t47 () (forall @t10 @t46)) % 0.38/0.60 (define @t48 () (not @t47)) % 0.38/0.60 (define @t49 () (not @t23)) % 0.38/0.60 (define @t50 () (not @t14)) % 0.38/0.60 (define @t51 () (or @t50 @t49 @t21 @t20)) % 0.38/0.60 (define @t52 () (or @t50 @t49)) % 0.38/0.60 (define @t53 () (not @t24)) % 0.38/0.60 (define @t54 () (or @t50 @t49 @t36)) % 0.38/0.60 (define @t55 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 0.38/0.60 (define @t56 () (tptp.proper_subset @t55 @t1)) % 0.38/0.60 (define @t57 () (= @t1 @t55)) % 0.38/0.60 (define @t58 () (tptp.proper_subset @t1 @t55)) % 0.38/0.60 (define @t59 () (not (tptp.ordinal @t55))) % 0.38/0.60 (define @t60 () (or @t50 @t59 @t58 @t57 @t56)) % 0.38/0.60 (define @t61 () (@list @t1 @t55)) % 0.38/0.60 (define @t62 () (forall @t61 @t60)) % 0.38/0.60 (define @t63 () (@quantifiers_skolemize @t62 0)) % 0.38/0.60 (define @t64 () (@quantifiers_skolemize @t62 1)) % 0.38/0.60 (define @t65 () (tptp.ordinal_subset @t64 @t63)) % 0.38/0.60 (define @t66 () (tptp.subset @t64 @t63)) % 0.38/0.60 (define @t67 () (tptp.ordinal @t63)) % 0.38/0.60 (define @t68 () (not @t67)) % 0.38/0.60 (define @t69 () (tptp.ordinal @t64)) % 0.38/0.60 (define @t70 () (not @t69)) % 0.38/0.60 (define @t71 () (or @t70 @t68 (= @t65 @t66))) % 0.38/0.60 (define @t72 () (forall @t4 @t54)) % 0.38/0.60 (define @t73 () (@list @t64 @t63)) % 0.38/0.60 (define @t74 () (= @t66 @t65)) % 0.38/0.60 (define @t75 () (or @t70 @t68 @t74)) % 0.38/0.60 (define @t76 () (@list false)) % 0.38/0.60 (define @t77 () (@list @t72)) % 0.38/0.60 (define @t78 () (or @t59 @t58 @t57 @t56)) % 0.38/0.60 (define @t79 () (or @t50 @t78)) % 0.38/0.60 (define @t80 () (forall @t61 @t79)) % 0.38/0.60 (define @t81 () (@list @t55)) % 0.38/0.60 (define @t82 () (forall @t81 @t79)) % 0.38/0.60 (define @t83 () (forall @t81 @t78)) % 0.38/0.60 (define @t84 () (or @t50 @t83)) % 0.38/0.60 (define @t85 () (or @t49 @t7 @t26 @t5)) % 0.38/0.60 (define @t86 () (forall @t30 @t85)) % 0.38/0.60 (define @t87 () (not @t6)) % 0.38/0.60 (define @t88 () (not @t27)) % 0.38/0.60 (define @t89 () (not @t43)) % 0.38/0.60 (define @t90 () (or @t89 @t88 @t87)) % 0.38/0.60 (define @t91 () (tptp.proper_subset @t64 @t63)) % 0.38/0.60 (define @t92 () (= @t63 @t64)) % 0.38/0.60 (define @t93 () (tptp.proper_subset @t63 @t64)) % 0.38/0.60 (define @t94 () (or @t68 @t70 @t93 @t92 @t91)) % 0.38/0.60 (define @t95 () (@list true)) % 0.38/0.60 (define @t96 () (@list @t94)) % 0.38/0.60 (define @t97 () (@list false false false)) % 0.38/0.60 (define @t98 () (not (= @t64 @t63))) % 0.38/0.60 (define @t99 () (and @t66 @t98)) % 0.38/0.60 (define @t100 () (= @t91 @t99)) % 0.38/0.60 (define @t101 () (not @t92)) % 0.38/0.60 (define @t102 () (and @t66 @t101)) % 0.38/0.60 (define @t103 () (= @t91 @t102)) % 0.38/0.60 (define @t104 () (not @t102)) % 0.38/0.60 (define @t105 () (@list true false)) % 0.38/0.60 (define @t106 () (not @t66)) % 0.38/0.60 (define @t107 () (not @t101)) % 0.38/0.60 (define @t108 () (@list true true)) % 0.38/0.60 (define @t109 () (not @t65)) % 0.38/0.60 (define @t110 () (tptp.ordinal_subset @t63 @t64)) % 0.38/0.60 (define @t111 () (tptp.subset @t63 @t64)) % 0.38/0.60 (define @t112 () (or @t68 @t70 (= @t110 @t111))) % 0.38/0.60 (define @t113 () (@list @t63 @t64)) % 0.38/0.60 (define @t114 () (= @t111 @t110)) % 0.38/0.60 (define @t115 () (or @t68 @t70 @t114)) % 0.38/0.60 (define @t116 () (and @t111 @t101)) % 0.38/0.60 (define @t117 () (= @t93 @t116)) % 0.38/0.60 (define @t118 () (not @t116)) % 0.38/0.60 (define @t119 () (not @t111)) % 0.38/0.60 (define @t120 () (not @t110)) % 0.38/0.60 (define @t121 () (or @t68 @t70 @t110 @t65)) % 0.38/0.60 (define @t122 () (not @t121)) % 0.38/0.60 (define @t123 () (forall @t4 @t51)) % 0.38/0.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.60 (assume @p2 (forall @t4 (=> @t7 @t6))) % 0.38/0.60 (assume @p3 (forall @t10 (=> @t9 @t8))) % 0.38/0.60 (assume @p4 (forall @t10 (=> @t14 @t13))) % 0.38/0.60 (assume @p5 (forall @t10 (=> @t9 @t15))) % 0.38/0.60 (assume @p6 (forall @t10 (=> @t18 @t17))) % 0.38/0.60 (assume @p7 (forall @t10 (=> @t13 @t14))) % 0.38/0.60 (assume @p8 (forall @t10 (=> @t9 @t19))) % 0.38/0.60 (assume @p9 @t25) % 0.38/0.60 (assume @p10 @t29) % 0.38/0.60 (assume @p11 (forall @t10 (exists @t30 (tptp.element @t2 @t1)))) % 0.38/0.60 (assume @p12 (and @t33 @t32 @t31)) % 0.38/0.60 (assume @p13 @t33) % 0.38/0.60 (assume @p14 (and @t32 @t31 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t33 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.38/0.60 (assume @p15 (and @t33 @t32)) % 0.38/0.60 (assume @p16 (forall @t4 (not (tptp.proper_subset @t1 @t1)))) % 0.38/0.60 (assume @p17 (exists @t10 (and @t15 @t8))) % 0.38/0.60 (assume @p18 (exists @t10 @t19)) % 0.38/0.60 (assume @p19 (exists @t10 (and @t9 @t15))) % 0.38/0.60 (assume @p20 (exists @t10 @t9)) % 0.38/0.60 (assume @p21 (exists @t10 @t18)) % 0.38/0.60 (assume @p22 (exists @t10 (and @t15 @t8 @t16 @t9 @t12 @t11 @t14))) % 0.38/0.60 (assume @p23 (exists @t10 (and @t34 @t15))) % 0.38/0.60 (assume @p24 (exists @t10 @t34)) % 0.38/0.60 (assume @p25 (exists @t10 @t17)) % 0.38/0.60 (assume @p26 (exists @t10 (and @t34 @t12 @t11 @t14))) % 0.38/0.60 (assume @p27 (exists @t10 (and @t15 @t35))) % 0.38/0.60 (assume @p28 (exists @t10 (and @t15 @t35 @t8))) % 0.38/0.60 (assume @p29 (exists @t10 (and @t15 @t8 (tptp.transfinite_sequence @t1)))) % 0.38/0.60 (assume @p30 (exists @t10 (and @t15 (tptp.relation_non_empty @t1) @t8))) % 0.38/0.60 (assume @p31 @t37) % 0.38/0.60 (assume @p32 (forall @t4 (=> @t24 (tptp.ordinal_subset @t1 @t1)))) % 0.38/0.60 (assume @p33 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.60 (assume @p34 (forall @t4 (=> @t3 @t38))) % 0.38/0.60 (assume @p35 (forall @t4 (=> @t38 (or @t39 @t3)))) % 0.38/0.60 (assume @p36 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t28))) % 0.38/0.60 (assume @p37 (forall @t42 (=> (and @t3 @t41) (tptp.element @t1 @t40)))) % 0.38/0.60 (assume @p38 @t48) % 0.38/0.60 (assume @p39 (forall @t42 (not (and @t3 @t41 (tptp.empty @t40))))) % 0.38/0.60 (assume @p40 (forall @t10 (=> @t9 (= @t1 tptp.empty_set)))) % 0.38/0.60 (assume @p41 (forall @t4 (not (and @t3 @t39)))) % 0.38/0.60 (assume @p42 (forall @t4 (not (and @t9 @t27 @t39)))) % 0.38/0.60 (assume @p43 true) % 0.38/0.60 (step @p44 :rule aci_norm :args ((= (or @t52 @t22) @t51))) % 0.38/0.60 (step @p45 :rule refl :args (@t22)) % 0.38/0.60 (step @p46 :rule bool-and-de-morgan :args (@t14 @t23 true)) % 0.38/0.60 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t53 @t22))) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p44)) % 0.38/0.60 (step @p49 :rule bool-impl-elim :args (@t24 @t22)) % 0.38/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50) :args (@t25)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p9 @p51)) % 0.38/0.60 (step @p53 :rule aci_norm :args ((= (or @t52 @t36) @t54))) % 0.38/0.60 (step @p54 :rule refl :args (@t36)) % 0.38/0.60 (step @p55 :rule nary_cong :premises (@p46 @p54) :args ((or @t53 @t36))) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p53)) % 0.38/0.60 (step @p57 :rule bool-impl-elim :args (@t24 @t36)) % 0.38/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58) :args (@t37)) % 0.38/0.60 (step @p60 :rule eq_resolve :premises (@p31 @p59)) % 0.38/0.60 (step @p61 :rule eq-symm :args (@t65 @t66)) % 0.38/0.60 (step @p62 :rule refl :args (@t68)) % 0.38/0.60 (step @p63 :rule refl :args (@t70)) % 0.38/0.60 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t71)) % 0.38/0.60 (step @p65 :rule refl :args (@t72)) % 0.38/0.60 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t72 @t71))) % 0.38/0.60 (assume-push @p202 @t72) % 0.38/0.60 (step @p68 :rule instantiate :premises (@p60) :args (@t73)) % 0.38/0.60 (step-pop @p203 :rule scope :premises (@p68)) % 0.38/0.60 (step @p69 :rule process_scope :premises (@p203) :args (@t71)) % 0.38/0.60 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.38/0.60 (step @p72 :rule implies_elim :premises (@p71)) % 0.38/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p60) :args (@t75 @t76 @t77)) % 0.38/0.60 (step @p74 :rule aci_norm :args ((= @t79 @t60))) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args (@t80)) % 0.38/0.60 (step @p76 :rule quant-merge-prenex :args ((= (forall @t10 @t82) @t80))) % 0.38/0.60 (step @p77 :rule alpha_equiv :args (@t83 (@list @t55) (@list @t2))) % 0.38/0.60 (step @p78 :rule refl :args (@t50)) % 0.38/0.60 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t84)) % 0.38/0.60 (step @p80 :rule quant-miniscope-or :args ((= @t82 @t84))) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.60 (step @p82 :rule symm :premises (@p81)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args ((forall @t10 (or @t50 @t86)))) % 0.38/0.60 (step @p84 :rule trans :premises (@p83 @p76)) % 0.38/0.60 (step @p85 :rule trans :premises (@p84 @p75)) % 0.38/0.60 (step @p86 :rule bool-impl-elim :args (@t14 @t86)) % 0.38/0.60 (step @p87 :rule cong :premises (@p86) :args ((forall @t10 (=> @t14 @t86)))) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p85)) % 0.38/0.60 (step @p89 :rule aci_norm :args ((= (or @t49 (or @t7 @t26 @t5)) @t85))) % 0.38/0.60 (step @p90 :rule bool-double-not-elim :args (@t5)) % 0.38/0.60 (step @p91 :rule bool-double-not-elim :args (@t26)) % 0.38/0.60 (step @p92 :rule bool-double-not-elim :args (@t7)) % 0.38/0.60 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args (@t90)) % 0.38/0.60 (step @p94 :rule aci_norm :args ((= (or @t89 (or @t88 @t87)) @t90))) % 0.38/0.60 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.60 (step @p96 :rule bool-and-de-morgan :args (@t27 @t6 true)) % 0.38/0.60 (step @p97 :rule refl :args (@t89)) % 0.38/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t89 (not (and @t27 @t6))))) % 0.38/0.60 (step @p99 :rule bool-and-de-morgan :args (@t43 @t27 (and @t6))) % 0.38/0.60 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.60 (step @p101 :rule trans :premises (@p100 @p95)) % 0.38/0.60 (step @p102 :rule refl :args (@t49)) % 0.38/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t49 @t44))) % 0.38/0.60 (step @p104 :rule trans :premises (@p103 @p89)) % 0.38/0.60 (step @p105 :rule bool-impl-elim :args (@t23 @t44)) % 0.38/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.60 (step @p107 :rule cong :premises (@p106) :args (@t45)) % 0.38/0.60 (step @p108 :rule refl :args (@t14)) % 0.38/0.60 (step @p109 :rule cong :premises (@p108 @p107) :args (@t46)) % 0.38/0.60 (step @p110 :rule cong :premises (@p109) :args (@t47)) % 0.38/0.60 (step @p111 :rule trans :premises (@p110 @p88)) % 0.38/0.60 (step @p112 :rule cong :premises (@p111) :args (@t48)) % 0.38/0.60 (step @p113 :rule eq_resolve :premises (@p38 @p112)) % 0.38/0.60 (step @p114 :rule skolemize :premises (@p113)) % 0.38/0.60 (step @p115 :rule bool-double-not-elim :args (@t69)) % 0.38/0.60 (step @p116 :rule refl :args (@t94)) % 0.38/0.60 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t94 (not @t70)))) % 0.38/0.60 (step @p118 :rule cnf_or_neg :args (@t94 1)) % 0.38/0.60 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.38/0.60 (step @p120 :rule reordering :premises (@p119) :args ((or @t69 @t94))) % 0.38/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p114) :args (@t69 @t95 @t96)) % 0.38/0.60 (step @p122 :rule bool-double-not-elim :args (@t67)) % 0.38/0.60 (step @p123 :rule nary_cong :premises (@p116 @p122) :args ((or @t94 (not @t68)))) % 0.38/0.60 (step @p124 :rule cnf_or_neg :args (@t94 0)) % 0.38/0.60 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.38/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or @t67 @t94))) % 0.38/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p114) :args (@t67 @t95 @t96)) % 0.38/0.60 (step @p128 :rule cnf_or_pos :args (@t75)) % 0.38/0.60 (step @p129 :rule reordering :premises (@p128) :args ((or @t68 @t70 @t74 (not @t75)))) % 0.38/0.60 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p121 @p73) :args (@t74 @t97 (@list @t67 @t69 @t75))) % 0.38/0.60 (step @p131 :rule eq-symm :args (@t64 @t63)) % 0.38/0.60 (step @p132 :rule cong :premises (@p131) :args (@t98)) % 0.38/0.60 (step @p133 :rule refl :args (@t66)) % 0.38/0.60 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t99)) % 0.38/0.60 (step @p135 :rule refl :args (@t91)) % 0.38/0.60 (step @p136 :rule cong :premises (@p135 @p134) :args (@t100)) % 0.38/0.60 (step @p137 :rule refl :args (@t29)) % 0.38/0.60 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t29 @t100))) % 0.38/0.60 (assume-push @p204 @t29) % 0.38/0.60 (step @p140 :rule instantiate :premises (@p10) :args (@t73)) % 0.38/0.60 (step-pop @p205 :rule scope :premises (@p140)) % 0.38/0.60 (step @p141 :rule process_scope :premises (@p205) :args (@t100)) % 0.38/0.60 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.38/0.60 (step @p144 :rule implies_elim :premises (@p143)) % 0.38/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p10) :args (@t103 @t76 (@list @t29))) % 0.38/0.60 (step @p146 :rule cnf_or_neg :args (@t94 4)) % 0.38/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p114) :args ((not @t91) @t95 @t96)) % 0.38/0.60 (step @p148 :rule cnf_equiv_pos2 :args (@t103)) % 0.38/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t91 @t104 (not @t103)))) % 0.38/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p145) :args (@t104 @t105 (@list @t91 @t103))) % 0.38/0.60 (step @p151 :rule cnf_or_neg :args (@t94 3)) % 0.38/0.60 (step @p152 :rule chain_m_resolution :premises (@p151 @p114) :args (@t101 @t95 @t96)) % 0.38/0.60 (step @p153 :rule bool-double-not-elim :args (@t92)) % 0.38/0.60 (step @p154 :rule refl :args (@t106)) % 0.38/0.60 (step @p155 :rule refl :args (@t102)) % 0.38/0.60 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args ((or @t102 @t106 @t107))) % 0.38/0.60 (step @p157 :rule cnf_and_neg :args (@t102)) % 0.38/0.60 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.38/0.60 (step @p159 :rule reordering :premises (@p158) :args ((or @t92 @t102 @t106))) % 0.38/0.60 (step @p160 :rule chain_m_resolution :premises (@p159 @p152 @p150) :args (@t106 @t108 (@list @t92 @t102))) % 0.38/0.60 (step @p161 :rule cnf_equiv_pos2 :args (@t74)) % 0.38/0.60 (step @p162 :rule reordering :premises (@p161) :args ((or @t66 @t109 (not @t74)))) % 0.38/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p130) :args (@t109 @t105 (@list @t66 @t74))) % 0.38/0.60 (step @p164 :rule eq-symm :args (@t110 @t111)) % 0.38/0.60 (step @p165 :rule nary_cong :premises (@p62 @p63 @p164) :args (@t112)) % 0.38/0.60 (step @p166 :rule cong :premises (@p65 @p165) :args ((=> @t72 @t112))) % 0.38/0.60 (assume-push @p206 @t72) % 0.38/0.60 (step @p168 :rule instantiate :premises (@p60) :args (@t113)) % 0.38/0.60 (step-pop @p207 :rule scope :premises (@p168)) % 0.38/0.60 (step @p169 :rule process_scope :premises (@p207) :args (@t112)) % 0.38/0.60 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.38/0.60 (step @p172 :rule implies_elim :premises (@p171)) % 0.38/0.60 (step @p173 :rule chain_m_resolution :premises (@p172 @p60) :args (@t115 @t76 @t77)) % 0.38/0.60 (step @p174 :rule cnf_or_pos :args (@t115)) % 0.38/0.60 (step @p175 :rule reordering :premises (@p174) :args ((or @t68 @t70 @t114 (not @t115)))) % 0.38/0.60 (step @p176 :rule chain_m_resolution :premises (@p175 @p127 @p121 @p173) :args (@t114 @t97 (@list @t67 @t69 @t115))) % 0.38/0.60 (step @p177 :rule instantiate :premises (@p10) :args (@t113)) % 0.38/0.60 (step @p178 :rule cnf_or_neg :args (@t94 2)) % 0.38/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p114) :args ((not @t93) @t95 @t96)) % 0.38/0.60 (step @p180 :rule cnf_equiv_pos2 :args (@t117)) % 0.38/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t93 @t118 (not @t117)))) % 0.38/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p177) :args (@t118 @t105 (@list @t93 @t117))) % 0.38/0.60 (step @p183 :rule refl :args (@t119)) % 0.38/0.60 (step @p184 :rule refl :args (@t116)) % 0.38/0.60 (step @p185 :rule nary_cong :premises (@p184 @p183 @p153) :args ((or @t116 @t119 @t107))) % 0.38/0.60 (step @p186 :rule cnf_and_neg :args (@t116)) % 0.38/0.60 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.38/0.60 (step @p188 :rule reordering :premises (@p187) :args ((or @t92 @t116 @t119))) % 0.38/0.60 (step @p189 :rule chain_m_resolution :premises (@p188 @p152 @p182) :args (@t119 @t108 (@list @t92 @t116))) % 0.38/0.60 (step @p190 :rule cnf_equiv_pos2 :args (@t114)) % 0.38/0.60 (step @p191 :rule reordering :premises (@p190) :args ((or @t111 @t120 (not @t114)))) % 0.38/0.60 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p176) :args (@t120 @t105 (@list @t111 @t114))) % 0.38/0.60 (step @p193 :rule cnf_or_pos :args (@t121)) % 0.38/0.60 (step @p194 :rule reordering :premises (@p193) :args ((or @t68 @t70 @t110 @t65 @t122))) % 0.38/0.60 (step @p195 :rule chain_m_resolution :premises (@p194 @p127 @p121 @p192 @p163) :args (@t122 (@list false false true true) (@list @t67 @t69 @t110 @t65))) % 0.38/0.60 (assume-push @p208 @t123) % 0.38/0.60 (step @p197 :rule instantiate :premises (@p52) :args (@t113)) % 0.38/0.60 (step-pop @p209 :rule scope :premises (@p197)) % 0.38/0.60 (step @p198 :rule process_scope :premises (@p209) :args (@t121)) % 0.38/0.60 (step @p200 :rule implies_elim :premises (@p198)) % 0.38/0.60 (step @p201 false :rule chain_m_resolution :premises (@p200 @p195 @p52) :args (false @t105 (@list @t121 @t123))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------