%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU895^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:53:29 AM UTC 2026 % Result : Theorem 0.34s 0.60s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : SEU895^5 : TPTP v9.2.1. Released v4.0.0. % 0.10/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n023.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 17:58:43 EDT 2026 % 0.17/0.36 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.34/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.60 % SZS status Theorem % 0.34/0.60 % SZS output start Proof % 0.34/0.60 ( % 0.34/0.60 (declare-sort tptp.b 0) % 0.34/0.60 (declare-sort tptp.a 0) % 0.34/0.60 (declare-const tptp.x (-> tptp.b Bool)) % 0.34/0.60 (declare-const tptp.y (-> tptp.b Bool)) % 0.34/0.60 (declare-const tptp.f (-> tptp.b tptp.a)) % 0.34/0.60 (define @t1 () (@var "Xt" tptp.b)) % 0.34/0.60 (define @t2 () (_ tptp.f @t1)) % 0.34/0.60 (define @t3 () (@var "Xz" tptp.a)) % 0.34/0.60 (define @t4 () (= @t3 @t2)) % 0.34/0.60 (define @t5 () (_ tptp.y @t1)) % 0.34/0.60 (define @t6 () (and @t5 @t4)) % 0.34/0.60 (define @t7 () (@list @t1)) % 0.34/0.60 (define @t8 () (exists @t7 @t6)) % 0.34/0.60 (define @t9 () (_ tptp.x @t1)) % 0.34/0.60 (define @t10 () (and @t9 @t4)) % 0.34/0.60 (define @t11 () (exists @t7 @t10)) % 0.34/0.60 (define @t12 () (or @t11 @t8)) % 0.34/0.60 (define @t13 () (@list @t3)) % 0.34/0.60 (define @t14 () (lambda @t13 @t12)) % 0.34/0.60 (define @t15 () (or @t9 @t5)) % 0.34/0.60 (define @t16 () (and @t15 @t4)) % 0.34/0.60 (define @t17 () (exists @t7 @t16)) % 0.34/0.60 (define @t18 () (lambda @t13 @t17)) % 0.34/0.60 (define @t19 () (= @t18 @t14)) % 0.34/0.60 (define @t20 () (not @t19)) % 0.34/0.60 (define @t21 () (tptp.f @t1)) % 0.34/0.60 (define @t22 () (not (= @t3 @t21))) % 0.34/0.60 (define @t23 () (tptp.y @t1)) % 0.34/0.60 (define @t24 () (not @t23)) % 0.34/0.60 (define @t25 () (tptp.x @t1)) % 0.34/0.60 (define @t26 () (not @t25)) % 0.34/0.60 (define @t27 () (and @t26 @t24)) % 0.34/0.60 (define @t28 () (lambda @t13 (not (forall @t7 (or @t27 @t22))))) % 0.34/0.60 (define @t29 () (@purify @t28)) % 0.34/0.60 (define @t30 () (lambda @t13 (or (not (forall @t7 (or @t26 @t22))) (not (forall @t7 (or @t24 @t22)))))) % 0.34/0.60 (define @t31 () (@purify @t30)) % 0.34/0.60 (define @t32 () (= @t28 @t30)) % 0.34/0.60 (define @t33 () (not @t4)) % 0.34/0.60 (define @t34 () (not @t5)) % 0.34/0.60 (define @t35 () (or @t34 @t33)) % 0.34/0.60 (define @t36 () (forall @t7 (not @t6))) % 0.34/0.60 (define @t37 () (not @t36)) % 0.34/0.60 (define @t38 () (not @t9)) % 0.34/0.60 (define @t39 () (or @t38 @t33)) % 0.34/0.60 (define @t40 () (forall @t7 (not @t10))) % 0.34/0.60 (define @t41 () (not @t40)) % 0.34/0.60 (define @t42 () (and @t38 @t34)) % 0.34/0.60 (define @t43 () (or @t42 @t33)) % 0.34/0.60 (define @t44 () (forall @t7 (not @t16))) % 0.34/0.60 (define @t45 () (not @t44)) % 0.34/0.60 (define @t46 () (@const 0 tptp.a)) % 0.34/0.60 (define @t47 () (not (= @t21 @t46))) % 0.34/0.60 (define @t48 () (forall @t7 (or @t24 @t47))) % 0.34/0.60 (define @t49 () (not @t48)) % 0.34/0.60 (define @t50 () (forall @t7 (or @t26 @t47))) % 0.34/0.60 (define @t51 () (not @t50)) % 0.34/0.60 (define @t52 () (or @t51 @t49)) % 0.34/0.60 (define @t53 () (forall @t7 (or @t27 @t47))) % 0.34/0.60 (define @t54 () (not @t53)) % 0.34/0.60 (define @t55 () (not (= @t46 @t21))) % 0.34/0.60 (define @t56 () (or @t27 @t55)) % 0.34/0.60 (define @t57 () (forall @t7 @t56)) % 0.34/0.60 (define @t58 () (not @t57)) % 0.34/0.60 (define @t59 () (_ @t28 @t46)) % 0.34/0.60 (define @t60 () (_ @t29 @t46)) % 0.34/0.60 (define @t61 () (or @t24 @t55)) % 0.34/0.60 (define @t62 () (forall @t7 @t61)) % 0.34/0.60 (define @t63 () (not @t62)) % 0.34/0.60 (define @t64 () (or @t26 @t55)) % 0.34/0.60 (define @t65 () (forall @t7 @t64)) % 0.34/0.60 (define @t66 () (not @t65)) % 0.34/0.60 (define @t67 () (or @t66 @t63)) % 0.34/0.60 (define @t68 () (_ @t30 @t46)) % 0.34/0.60 (define @t69 () (_ @t31 @t46)) % 0.34/0.60 (define @t70 () (= @t69 @t60)) % 0.34/0.60 (define @t71 () (not @t70)) % 0.34/0.60 (define @t72 () (= @t31 @t29)) % 0.34/0.60 (define @t73 () (or @t72 @t71)) % 0.34/0.60 (define @t74 () (= @t54 @t52)) % 0.34/0.60 (define @t75 () (@list true)) % 0.34/0.60 (define @t76 () (not @t52)) % 0.34/0.60 (define @t77 () (not @t54)) % 0.34/0.60 (define @t78 () (not @t51)) % 0.34/0.60 (define @t79 () (not @t49)) % 0.34/0.60 (define @t80 () (@quantifiers_skolemize @t53 0)) % 0.34/0.60 (define @t81 () (tptp.f @t80)) % 0.34/0.60 (define @t82 () (= @t46 @t81)) % 0.34/0.60 (define @t83 () (not @t82)) % 0.34/0.60 (define @t84 () (tptp.y @t80)) % 0.34/0.60 (define @t85 () (not @t84)) % 0.34/0.60 (define @t86 () (tptp.x @t80)) % 0.34/0.60 (define @t87 () (not @t86)) % 0.34/0.60 (define @t88 () (and @t87 @t85)) % 0.34/0.60 (define @t89 () (or @t88 @t83)) % 0.34/0.60 (define @t90 () (not @t89)) % 0.34/0.60 (define @t91 () (not (= @t81 @t46))) % 0.34/0.60 (define @t92 () (or @t88 @t91)) % 0.34/0.60 (define @t93 () (not @t92)) % 0.34/0.60 (define @t94 () (or @t87 @t91)) % 0.34/0.60 (define @t95 () (@list @t80)) % 0.34/0.60 (define @t96 () (or @t87 @t83)) % 0.34/0.60 (define @t97 () (or @t85 @t83)) % 0.34/0.60 (define @t98 () (or @t85 @t91)) % 0.34/0.60 (define @t99 () (@quantifiers_skolemize @t50 0)) % 0.34/0.60 (define @t100 () (tptp.x @t99)) % 0.34/0.60 (define @t101 () (tptp.f @t99)) % 0.34/0.60 (define @t102 () (= @t46 @t101)) % 0.34/0.60 (define @t103 () (not @t102)) % 0.34/0.60 (define @t104 () (not @t100)) % 0.34/0.60 (define @t105 () (or @t104 @t103)) % 0.34/0.60 (define @t106 () (and @t104 (not (tptp.y @t99)))) % 0.34/0.60 (define @t107 () (not (= @t101 @t46))) % 0.34/0.60 (define @t108 () (or @t106 @t107)) % 0.34/0.60 (define @t109 () (or @t106 @t103)) % 0.34/0.60 (define @t110 () (@list false)) % 0.34/0.60 (define @t111 () (@list @t53)) % 0.34/0.60 (define @t112 () (not @t105)) % 0.34/0.60 (define @t113 () (or @t104 @t107)) % 0.34/0.60 (define @t114 () (not @t113)) % 0.34/0.60 (define @t115 () (@quantifiers_skolemize @t48 0)) % 0.34/0.60 (define @t116 () (tptp.f @t115)) % 0.34/0.60 (define @t117 () (= @t46 @t116)) % 0.34/0.60 (define @t118 () (not @t117)) % 0.34/0.60 (define @t119 () (tptp.y @t115)) % 0.34/0.60 (define @t120 () (not @t119)) % 0.34/0.60 (define @t121 () (or @t120 @t118)) % 0.34/0.60 (define @t122 () (not @t121)) % 0.34/0.60 (define @t123 () (not (= @t116 @t46))) % 0.34/0.60 (define @t124 () (or @t120 @t123)) % 0.34/0.60 (define @t125 () (not @t124)) % 0.34/0.60 (define @t126 () (@list @t121)) % 0.34/0.60 (define @t127 () (and (not (tptp.x @t115)) @t120)) % 0.34/0.60 (define @t128 () (not @t127)) % 0.34/0.60 (define @t129 () (or @t127 @t123)) % 0.34/0.60 (define @t130 () (or @t127 @t118)) % 0.34/0.60 (assume @p1 @t20) % 0.34/0.60 (assume @p2 true) % 0.34/0.60 (step @p3 :rule eq-symm :args (@t29 @t31)) % 0.34/0.60 (step @p4 :rule eq-refl :args (@t30)) % 0.34/0.60 (step @p5 :rule skolem_intro :args (@t31)) % 0.34/0.60 (step @p6 :rule refl :args (@t30)) % 0.34/0.60 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t30 @t31))) % 0.34/0.60 (step @p8 :rule trans :premises (@p7 @p4)) % 0.34/0.60 (step @p9 :rule true_elim :premises (@p8)) % 0.34/0.60 (step @p10 :rule eq-refl :args (@t28)) % 0.34/0.60 (step @p11 :rule skolem_intro :args (@t29)) % 0.34/0.60 (step @p12 :rule refl :args (@t28)) % 0.34/0.60 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t28 @t29))) % 0.34/0.60 (step @p14 :rule trans :premises (@p13 @p10)) % 0.34/0.60 (step @p15 :rule true_elim :premises (@p14)) % 0.34/0.60 (step @p16 :rule cong :premises (@p15 @p9) :args (@t32)) % 0.34/0.60 (step @p17 :rule trans :premises (@p16 @p3)) % 0.34/0.60 (step @p18 :rule cong :premises (@p17) :args ((not @t32))) % 0.34/0.60 (step @p19 :rule refl :args (@t21)) % 0.34/0.60 (step @p20 :rule refl :args (@t2)) % 0.34/0.60 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t21))) % 0.34/0.60 (step @p22 :rule symm :premises (@p21)) % 0.34/0.60 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.34/0.60 (step @p24 :rule refl :args (@t3)) % 0.34/0.60 (step @p25 :rule cong :premises (@p24 @p23) :args (@t4)) % 0.34/0.60 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 0.34/0.60 (step @p27 :rule refl :args (@t23)) % 0.34/0.60 (step @p28 :rule refl :args (@t5)) % 0.34/0.60 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t5 @t23))) % 0.34/0.60 (step @p30 :rule symm :premises (@p29)) % 0.34/0.60 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.34/0.60 (step @p32 :rule cong :premises (@p31) :args (@t34)) % 0.34/0.60 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t35)) % 0.34/0.60 (step @p34 :rule cong :premises (@p33) :args ((forall @t7 @t35))) % 0.34/0.60 (step @p35 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.34/0.60 (step @p36 :rule cong :premises (@p35) :args (@t36)) % 0.34/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.34/0.60 (step @p38 :rule cong :premises (@p37) :args (@t37)) % 0.34/0.60 (step @p39 :rule exists-elim :args ((= @t8 @t37))) % 0.34/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.34/0.60 (step @p41 :rule refl :args (@t25)) % 0.34/0.60 (step @p42 :rule refl :args (@t9)) % 0.34/0.60 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t9 @t25))) % 0.34/0.60 (step @p44 :rule symm :premises (@p43)) % 0.34/0.60 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.34/0.60 (step @p46 :rule cong :premises (@p45) :args (@t38)) % 0.34/0.60 (step @p47 :rule nary_cong :premises (@p46 @p26) :args (@t39)) % 0.34/0.60 (step @p48 :rule cong :premises (@p47) :args ((forall @t7 @t39))) % 0.34/0.60 (step @p49 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.34/0.60 (step @p50 :rule cong :premises (@p49) :args (@t40)) % 0.34/0.60 (step @p51 :rule trans :premises (@p50 @p48)) % 0.34/0.60 (step @p52 :rule cong :premises (@p51) :args (@t41)) % 0.34/0.60 (step @p53 :rule exists-elim :args ((= @t11 @t41))) % 0.34/0.60 (step @p54 :rule trans :premises (@p53 @p52)) % 0.34/0.60 (step @p55 :rule nary_cong :premises (@p54 @p40) :args (@t12)) % 0.34/0.60 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.34/0.60 (step @p57 :rule nary_cong :premises (@p46 @p32) :args (@t42)) % 0.34/0.60 (step @p58 :rule nary_cong :premises (@p57 @p26) :args (@t43)) % 0.34/0.60 (step @p59 :rule cong :premises (@p58) :args ((forall @t7 @t43))) % 0.34/0.60 (step @p60 :rule refl :args (@t33)) % 0.34/0.60 (step @p61 :rule bool-or-de-morgan :args (@t9 @t5 false)) % 0.34/0.60 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t15) @t33))) % 0.34/0.60 (step @p63 :rule bool-and-de-morgan :args (@t15 @t4 true)) % 0.34/0.60 (step @p64 :rule trans :premises (@p63 @p62)) % 0.34/0.60 (step @p65 :rule cong :premises (@p64) :args (@t44)) % 0.34/0.60 (step @p66 :rule trans :premises (@p65 @p59)) % 0.34/0.60 (step @p67 :rule cong :premises (@p66) :args (@t45)) % 0.34/0.60 (step @p68 :rule exists-elim :args ((= @t17 @t45))) % 0.34/0.60 (step @p69 :rule trans :premises (@p68 @p67)) % 0.34/0.60 (step @p70 :rule cong :premises (@p69) :args (@t18)) % 0.34/0.60 (step @p71 :rule cong :premises (@p70 @p56) :args (@t19)) % 0.34/0.60 (step @p72 :rule cong :premises (@p71) :args (@t20)) % 0.34/0.60 (step @p73 :rule trans :premises (@p72 @p18)) % 0.34/0.60 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.34/0.60 (step @p75 :rule eq-symm :args (@t52 @t54)) % 0.34/0.60 (step @p76 :rule eq-refl :args (@t54)) % 0.34/0.60 (step @p77 :rule refl :args (@t54)) % 0.34/0.60 (step @p78 :rule eq-symm :args (@t46 @t21)) % 0.34/0.60 (step @p79 :rule cong :premises (@p78) :args (@t55)) % 0.34/0.60 (step @p80 :rule refl :args (@t27)) % 0.34/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t56)) % 0.34/0.60 (step @p82 :rule cong :premises (@p81) :args (@t57)) % 0.34/0.60 (step @p83 :rule cong :premises (@p82) :args (@t58)) % 0.34/0.60 (step @p84 :rule beta-reduce :args ((= @t59 @t58))) % 0.34/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.34/0.60 (step @p86 :rule cong :premises (@p85 @p77) :args ((= @t59 @t54))) % 0.34/0.60 (step @p87 :rule trans :premises (@p86 @p76)) % 0.34/0.60 (step @p88 :rule refl :args (@t46)) % 0.34/0.60 (step @p89 :rule ho_cong :premises (@p11 @p88)) % 0.34/0.60 (step @p90 :rule cong :premises (@p89 @p77) :args ((= @t60 @t54))) % 0.34/0.60 (step @p91 :rule trans :premises (@p90 @p87)) % 0.34/0.60 (step @p92 :rule true_elim :premises (@p91)) % 0.34/0.60 (step @p93 :rule eq-refl :args (@t52)) % 0.34/0.60 (step @p94 :rule refl :args (@t52)) % 0.34/0.60 (step @p95 :rule refl :args (@t24)) % 0.34/0.60 (step @p96 :rule nary_cong :premises (@p95 @p79) :args (@t61)) % 0.34/0.60 (step @p97 :rule cong :premises (@p96) :args (@t62)) % 0.34/0.60 (step @p98 :rule cong :premises (@p97) :args (@t63)) % 0.34/0.60 (step @p99 :rule refl :args (@t26)) % 0.34/0.60 (step @p100 :rule nary_cong :premises (@p99 @p79) :args (@t64)) % 0.34/0.60 (step @p101 :rule cong :premises (@p100) :args (@t65)) % 0.34/0.60 (step @p102 :rule cong :premises (@p101) :args (@t66)) % 0.34/0.60 (step @p103 :rule nary_cong :premises (@p102 @p98) :args (@t67)) % 0.34/0.60 (step @p104 :rule beta-reduce :args ((= @t68 @t67))) % 0.34/0.60 (step @p105 :rule trans :premises (@p104 @p103)) % 0.34/0.60 (step @p106 :rule cong :premises (@p105 @p94) :args ((= @t68 @t52))) % 0.34/0.60 (step @p107 :rule trans :premises (@p106 @p93)) % 0.34/0.60 (step @p108 :rule ho_cong :premises (@p5 @p88)) % 0.34/0.60 (step @p109 :rule cong :premises (@p108 @p94) :args ((= @t69 @t52))) % 0.34/0.60 (step @p110 :rule trans :premises (@p109 @p107)) % 0.34/0.60 (step @p111 :rule true_elim :premises (@p110)) % 0.34/0.60 (step @p112 :rule cong :premises (@p111 @p92) :args (@t70)) % 0.34/0.60 (step @p113 :rule trans :premises (@p112 @p75)) % 0.34/0.60 (step @p114 :rule cong :premises (@p113) :args (@t71)) % 0.34/0.60 (step @p115 :rule refl :args (@t72)) % 0.34/0.60 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t73)) % 0.34/0.60 ; WARNING: add trust step for TRUST % 0.34/0.60 ; trust TRUST THEORY_LEMMA % 0.34/0.60 (step @p117 :rule trust :premises () :args (@t73)) % 0.34/0.60 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.34/0.60 (step @p119 :rule chain_m_resolution :premises (@p118 @p74) :args ((not @t74) @t75 (@list @t72))) % 0.34/0.60 (step @p120 :rule refl :args (@t76)) % 0.34/0.60 (step @p121 :rule bool-double-not-elim :args (@t53)) % 0.34/0.60 (step @p122 :rule refl :args (@t74)) % 0.34/0.60 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args ((or @t74 @t77 @t76))) % 0.34/0.60 (step @p124 :rule cnf_equiv_neg2 :args (@t74)) % 0.34/0.60 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.34/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or @t53 @t74 @t76))) % 0.34/0.60 (step @p127 :rule bool-double-not-elim :args (@t50)) % 0.34/0.60 (step @p128 :rule nary_cong :premises (@p94 @p127) :args ((or @t52 @t78))) % 0.34/0.60 (step @p129 :rule cnf_or_neg :args (@t52 0)) % 0.34/0.60 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.34/0.60 (step @p131 :rule reordering :premises (@p130) :args ((or @t50 @t52))) % 0.34/0.60 (step @p132 :rule bool-double-not-elim :args (@t48)) % 0.34/0.60 (step @p133 :rule nary_cong :premises (@p94 @p132) :args ((or @t52 @t79))) % 0.34/0.60 (step @p134 :rule cnf_or_neg :args (@t52 1)) % 0.34/0.60 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.34/0.60 (step @p136 :rule reordering :premises (@p135) :args ((or @t48 @t52))) % 0.34/0.60 (step @p137 :rule refl :args (@t90)) % 0.34/0.60 (step @p138 :rule nary_cong :premises (@p121 @p137) :args ((or @t77 @t90))) % 0.34/0.60 (step @p139 :rule eq-symm :args (@t81 @t46)) % 0.34/0.60 (step @p140 :rule cong :premises (@p139) :args (@t91)) % 0.34/0.60 (step @p141 :rule refl :args (@t88)) % 0.34/0.60 (step @p142 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@p195)) % 0.34/0.60 (step @p198 :rule reordering :premises (@p197) :args ((or @t100 @t105))) % 0.34/0.60 (step @p199 :rule bool-double-not-elim :args (@t102)) % 0.34/0.60 (step @p200 :rule nary_cong :premises (@p194 @p199) :args ((or @t105 (not @t103)))) % 0.34/0.60 (step @p201 :rule cnf_or_neg :args (@t105 1)) % 0.34/0.60 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.34/0.60 (step @p203 :rule reordering :premises (@p202) :args ((or @t102 @t105))) % 0.34/0.60 (step @p204 :rule cnf_and_pos :args (@t106 0)) % 0.34/0.60 (step @p205 :rule reordering :premises (@p204) :args ((or @t104 (not @t106)))) % 0.34/0.60 (step @p206 :rule eq-symm :args (@t101 @t46)) % 0.34/0.60 (step @p207 :rule cong :premises (@p206) :args (@t107)) % 0.34/0.60 (step @p208 :rule refl :args (@t106)) % 0.34/0.60 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t108)) % 0.34/0.60 (step @p210 :rule refl :args (@t53)) % 0.34/0.60 (step @p211 :rule cong :premises (@p210 @p209) :args ((=> @t53 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0.34/0.60 (step @p254 :rule implies_elim :premises (@p253)) % 0.34/0.60 (step @p255 :rule eq_resolve :premises (@p254 @p241)) % 0.34/0.60 (step @p256 :rule chain_m_resolution :premises (@p255 @p239) :args (@t122 @t75 (@list @t48))) % 0.34/0.60 (step @p257 :rule bool-double-not-elim :args (@t117)) % 0.34/0.60 (step @p258 :rule refl :args (@t121)) % 0.34/0.60 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or @t121 (not @t118)))) % 0.34/0.60 (step @p260 :rule cnf_or_neg :args (@t121 1)) % 0.34/0.60 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 0.34/0.60 (step @p262 :rule reordering :premises (@p261) :args ((or @t117 @t121))) % 0.34/0.60 (step @p263 :rule chain_m_resolution :premises (@p262 @p256) :args (@t117 @t75 @t126)) % 0.34/0.60 (step @p264 :rule bool-double-not-elim :args (@t119)) % 0.34/0.60 (step @p265 :rule nary_cong :premises (@p258 @p264) :args ((or @t121 (not @t120)))) % 0.34/0.60 (step @p266 :rule cnf_or_neg :args (@t121 0)) % 0.34/0.60 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 0.34/0.60 (step @p268 :rule reordering :premises (@p267) :args ((or @t119 @t121))) % 0.34/0.60 (step @p269 :rule chain_m_resolution :premises (@p268 @p256) :args (@t119 @t75 @t126)) % 0.34/0.60 (step @p270 :rule cnf_and_pos :args (@t127 1)) % 0.34/0.60 (step @p271 :rule reordering :premises (@p270) :args ((or @t120 @t128))) % 0.34/0.60 (step @p272 :rule chain_m_resolution :premises (@p271 @p269) :args (@t128 @t110 (@list @t119))) % 0.34/0.60 (step @p273 :rule refl :args (@t127)) % 0.34/0.60 (step @p274 :rule nary_cong :premises (@p273 @p243) :args (@t129)) % 0.34/0.60 (step @p275 :rule cong :premises (@p210 @p274) :args ((=> @t53 @t129))) % 0.34/0.60 (assume-push @p298 @t53) % 0.34/0.60 (step @p277 :rule instantiate :premises (@p298) :args ((@list @t115))) % 0.34/0.60 (step-pop @p299 :rule scope :premises (@p277)) % 0.34/0.60 (step @p278 :rule process_scope :premises (@p299) :args (@t129)) % 0.34/0.60 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 0.34/0.60 (step @p281 :rule implies_elim :premises (@p280)) % 0.34/0.60 (step @p282 :rule chain_m_resolution :premises (@p281 @p189) :args (@t130 @t110 @t111)) % 0.34/0.61 (step @p283 :rule cnf_or_pos :args (@t130)) % 0.34/0.61 (step @p284 :rule reordering :premises (@p283) :args ((or @t118 @t127 (not @t130)))) % 0.34/0.61 (step @p285 false :rule chain_m_resolution :premises (@p284 @p282 @p272 @p263) :args (false (@list false true false) (@list @t130 @t127 @t117))) % 0.34/0.61 ) % 0.34/0.61 % SZS output end Proof % 0.34/0.61 % cvc5 exiting %------------------------------------------------------------------------------