%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO016^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:11:47 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO016^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:51:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-const tptp.h (-> Bool Bool)) % 0.36/0.59 (define tptp.leibeq () (let ((_let_1 (@var "Y" Bool))) (let ((_let_2 (@var "P" (-> Bool Bool)))) (let ((_let_3 (@var "X" Bool))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.36/0.59 (define @t1 () (_ tptp.h false)) % 0.36/0.59 (define @t2 () (_ tptp.h true)) % 0.36/0.59 (define @t3 () (not (_ (_ tptp.leibeq (_ tptp.h (_ (_ tptp.leibeq @t2) @t1))) @t1))) % 0.36/0.59 (define @t4 () (@var "Y" Bool)) % 0.36/0.59 (define @t5 () (@var "P" (-> Bool Bool))) % 0.36/0.59 (define @t6 () (_ @t5 @t4)) % 0.36/0.59 (define @t7 () (@var "X" Bool)) % 0.36/0.59 (define @t8 () (_ @t5 @t7)) % 0.36/0.59 (define @t9 () (@list @t5)) % 0.36/0.59 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.36/0.59 (define @t11 () (@list @t7 @t4)) % 0.36/0.59 (define @t12 () (lambda @t11 @t10)) % 0.36/0.59 (define @t13 () (tptp.h false)) % 0.36/0.59 (define @t14 () (_ @t5 @t1)) % 0.36/0.59 (define @t15 () (@var "BOUND_VARIABLE_7481" (-> Bool Bool))) % 0.36/0.59 (define @t16 () (_ @t15 @t13)) % 0.36/0.59 (define @t17 () (tptp.h true)) % 0.36/0.59 (define @t18 () (_ @t15 @t17)) % 0.36/0.59 (define @t19 () (not @t18)) % 0.36/0.59 (define @t20 () (or @t19 @t16)) % 0.36/0.59 (define @t21 () (@list @t15)) % 0.36/0.59 (define @t22 () (forall @t21 @t20)) % 0.36/0.59 (define @t23 () (tptp.h @t22)) % 0.36/0.59 (define @t24 () (not (_ @t5 @t23))) % 0.36/0.59 (define @t25 () (or @t24 @t14)) % 0.36/0.59 (define @t26 () (forall @t9 @t25)) % 0.36/0.59 (define @t27 () (_ @t5 @t4)) % 0.36/0.59 (define @t28 () (@list @t4)) % 0.36/0.59 (define @t29 () (forall @t21 (or (not (_ @t15 @t2)) (_ @t15 @t1)))) % 0.36/0.59 (define @t30 () (_ tptp.h @t22)) % 0.36/0.59 (define @t31 () (_ @t5 @t30)) % 0.36/0.59 (define @t32 () (not @t31)) % 0.36/0.59 (define @t33 () (or @t32 @t27)) % 0.36/0.59 (define @t34 () (_ @t5 @t13)) % 0.36/0.59 (define @t35 () (not (_ @t5 @t17))) % 0.36/0.59 (define @t36 () (forall @t9 (or @t35 @t34))) % 0.36/0.59 (define @t37 () (_ tptp.h @t36)) % 0.36/0.59 (define @t38 () (_ @t5 @t37)) % 0.36/0.59 (define @t39 () (not @t38)) % 0.36/0.59 (define @t40 () (or @t39 @t27)) % 0.36/0.59 (define @t41 () (forall @t9 @t40)) % 0.36/0.59 (define @t42 () (lambda @t28 @t41)) % 0.36/0.59 (define @t43 () (_ @t5 @t7)) % 0.36/0.59 (define @t44 () (lambda @t11 (forall @t9 (or (not @t43) @t27)))) % 0.36/0.59 (define @t45 () (or @t35 @t14)) % 0.36/0.59 (define @t46 () (forall @t9 @t45)) % 0.36/0.59 (define @t47 () (_ @t5 @t2)) % 0.36/0.59 (define @t48 () (not @t47)) % 0.36/0.59 (define @t49 () (or @t48 @t27)) % 0.36/0.59 (define @t50 () (forall @t9 @t49)) % 0.36/0.59 (define @t51 () (lambda @t28 @t50)) % 0.36/0.59 (define @t52 () (_ @t44 @t2)) % 0.36/0.59 (define @t53 () (not @t8)) % 0.36/0.59 (define @t54 () (or @t53 @t6)) % 0.36/0.59 (define @t55 () (@purify @t13)) % 0.36/0.59 (define @t56 () (forall @t9 (or @t24 @t34))) % 0.36/0.59 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.36/0.59 (define @t58 () (_ @t57 @t55)) % 0.36/0.59 (define @t59 () (@purify @t23)) % 0.36/0.59 (define @t60 () (_ @t57 @t59)) % 0.36/0.59 (define @t61 () (not @t60)) % 0.36/0.59 (define @t62 () (or @t61 @t58)) % 0.36/0.59 (define @t63 () (not @t62)) % 0.36/0.59 (define @t64 () (not @t56)) % 0.36/0.59 (define @t65 () (= @t13 @t55)) % 0.36/0.59 (define @t66 () (_ @t57 @t13)) % 0.36/0.59 (define @t67 () (= @t23 @t59)) % 0.36/0.59 (define @t68 () (_ @t57 @t23)) % 0.36/0.59 (define @t69 () (not @t68)) % 0.36/0.59 (define @t70 () (or @t69 @t66)) % 0.36/0.59 (define @t71 () (not @t70)) % 0.36/0.59 (define @t72 () (@list true)) % 0.36/0.59 (define @t73 () (@list @t62)) % 0.36/0.59 (define @t74 () (not @t58)) % 0.36/0.59 (define @t75 () (@purify @t22)) % 0.36/0.59 (define @t76 () (tptp.h @t75)) % 0.36/0.59 (define @t77 () (not @t59)) % 0.36/0.59 (define @t78 () (not @t55)) % 0.36/0.59 (define @t79 () (not @t74)) % 0.36/0.59 (define @t80 () (= false true)) % 0.36/0.59 (define @t81 () (and @t60 @t59 @t55 @t74)) % 0.36/0.59 (define @t82 () (@purify false)) % 0.36/0.59 (define @t83 () (tptp.h @t82)) % 0.36/0.59 (define @t84 () (not @t82)) % 0.36/0.59 (define @t85 () (not @t22)) % 0.36/0.59 (define @t86 () (tptp.h @t13)) % 0.36/0.59 (define @t87 () (@purify @t17)) % 0.36/0.59 (define @t88 () (= @t17 @t87)) % 0.36/0.59 (define @t89 () (tptp.h @t17)) % 0.36/0.59 (define @t90 () (not @t89)) % 0.36/0.59 (define @t91 () (or @t90 @t86)) % 0.36/0.59 (define @t92 () (@purify true)) % 0.36/0.59 (define @t93 () (tptp.h @t92)) % 0.36/0.59 (define @t94 () (and @t75 @t76 @t92)) % 0.36/0.59 (define @t95 () (not @t92)) % 0.36/0.59 (define @t96 () (not @t75)) % 0.36/0.59 (define @t97 () (not @t76)) % 0.36/0.59 (define @t98 () (tptp.h @t55)) % 0.36/0.59 (define @t99 () (not @t98)) % 0.36/0.59 (define @t100 () (not @t83)) % 0.36/0.59 (define @t101 () (not @t100)) % 0.36/0.59 (define @t102 () (not @t78)) % 0.36/0.59 (define @t103 () (not @t84)) % 0.36/0.59 (define @t104 () (and @t84 @t78 @t100)) % 0.36/0.59 (define @t105 () (not @t93)) % 0.36/0.59 (define @t106 () (tptp.h @t87)) % 0.36/0.59 (define @t107 () (not @t106)) % 0.36/0.59 (define @t108 () (or @t107 @t98)) % 0.36/0.59 (define @t109 () (and @t75 @t76 @t87)) % 0.36/0.59 (define @t110 () (not @t87)) % 0.36/0.59 (define @t111 () (not @t96)) % 0.36/0.59 (define @t112 () (and @t100 @t84 @t96 @t76)) % 0.36/0.59 (define @t113 () (not @t97)) % 0.36/0.59 (define @t114 () (and @t55 @t75 @t97 @t92)) % 0.36/0.59 (define @t115 () (and @t75 @t97 @t92)) % 0.36/0.59 (define @t116 () (and @t83 @t84 @t110 @t107)) % 0.36/0.59 (define @t117 () (and @t83 @t84 @t96 @t97)) % 0.36/0.59 (define @t118 () (and @t60 @t77 @t78 @t74)) % 0.36/0.59 (assume @p1 @t3) % 0.36/0.59 (assume @p2 true) % 0.36/0.59 (step @p3 (= tptp.leibeq @t12) :rule refl :args (@t12)) % 0.36/0.59 (step @p4 :rule refl :args (@t13)) % 0.36/0.59 (step @p5 :rule refl :args (@t1)) % 0.36/0.59 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t1 @t13))) % 0.36/0.59 (step @p7 :rule symm :premises (@p6)) % 0.36/0.59 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.36/0.59 (step @p9 :rule cong :premises (@p8) :args (@t14)) % 0.36/0.59 (step @p10 :rule refl :args (@t24)) % 0.36/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t25)) % 0.36/0.59 (step @p12 :rule cong :premises (@p11) :args (@t26)) % 0.36/0.59 (step @p13 :rule beta-reduce :args ((= (_ (lambda @t28 (forall @t9 (or @t24 @t27))) @t1) @t26))) % 0.36/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.36/0.59 (step @p15 :rule refl :args (@t1)) % 0.36/0.59 (step @p16 :rule refl :args (@t27)) % 0.36/0.59 (step @p17 :rule refl :args ((tptp.h @t29))) % 0.36/0.59 (step @p18 :rule refl :args ((_ @t15 @t1))) % 0.36/0.59 (step @p19 :rule cong :premises (@p4) :args (@t16)) % 0.36/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.36/0.59 (step @p21 :rule refl :args ((_ @t15 @t2))) % 0.36/0.59 (step @p22 :rule refl :args (@t17)) % 0.36/0.59 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.36/0.59 (step @p24 :rule trans :premises (@p23 @p21)) % 0.36/0.59 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.36/0.59 (step @p26 :rule nary_cong :premises (@p25 @p20) :args (@t20)) % 0.36/0.59 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 0.36/0.59 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 0.36/0.59 (step @p29 :rule trans :premises (@p28 @p17)) % 0.36/0.59 (step @p30 :rule refl :args (tptp.h)) % 0.36/0.59 (step @p31 :rule ho_cong :premises (@p30 @p27)) % 0.36/0.59 (step @p32 :rule cong :premises (@p31 @p29) :args ((= @t30 @t23))) % 0.36/0.59 (step @p33 :rule symm :premises (@p32)) % 0.36/0.59 (step @p34 :rule refl :args ((_ tptp.h @t29))) % 0.36/0.59 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.36/0.59 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.36/0.59 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 0.36/0.59 (step @p38 :rule nary_cong :premises (@p37 @p16) :args (@t33)) % 0.36/0.59 (step @p39 :rule cong :premises (@p38) :args ((forall @t9 @t33))) % 0.36/0.59 (step @p40 :rule alpha_equiv :args (@t36 (@list @t5) (@list @t15))) % 0.36/0.59 (step @p41 :rule ho_cong :premises (@p30 @p40)) % 0.36/0.59 (step @p42 :rule cong :premises (@p41) :args (@t38)) % 0.36/0.59 (step @p43 :rule cong :premises (@p42) :args (@t39)) % 0.36/0.59 (step @p44 :rule nary_cong :premises (@p43 @p16) :args (@t40)) % 0.36/0.59 (step @p45 :rule cong :premises (@p44) :args (@t41)) % 0.36/0.59 (step @p46 :rule trans :premises (@p45 @p39)) % 0.36/0.59 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.36/0.59 (step @p48 :rule beta-reduce :args ((= (_ @t44 @t37) @t42))) % 0.36/0.59 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.59 (step @p50 :rule refl :args (@t35)) % 0.36/0.59 (step @p51 :rule nary_cong :premises (@p50 @p9) :args (@t45)) % 0.36/0.59 (step @p52 :rule cong :premises (@p51) :args (@t46)) % 0.36/0.59 (step @p53 :rule beta-reduce :args ((= (_ (lambda @t28 (forall @t9 (or @t35 @t27))) @t1) @t46))) % 0.36/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.36/0.59 (step @p55 :rule refl :args (@t2)) % 0.36/0.59 (step @p56 :rule cong :premises (@p55 @p22) :args ((= @t2 @t17))) % 0.36/0.59 (step @p57 :rule symm :premises (@p56)) % 0.36/0.59 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.36/0.59 (step @p59 :rule cong :premises (@p58) :args (@t47)) % 0.36/0.59 (step @p60 :rule cong :premises (@p59) :args (@t48)) % 0.36/0.59 (step @p61 :rule nary_cong :premises (@p60 @p16) :args (@t49)) % 0.36/0.59 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 0.36/0.59 (step @p63 :rule cong :premises (@p62) :args (@t51)) % 0.36/0.59 (step @p64 :rule beta-reduce :args ((= @t52 @t51))) % 0.36/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.59 (step @p66 :rule ho_cong :premises (@p65 @p15)) % 0.36/0.59 (step @p67 :rule trans :premises (@p66 @p54)) % 0.36/0.59 (step @p68 :rule refl :args (tptp.h)) % 0.36/0.59 (step @p69 :rule ho_cong :premises (@p68 @p67)) % 0.36/0.59 (step @p70 :rule refl :args (@t44)) % 0.36/0.59 (step @p71 :rule ho_cong :premises (@p70 @p69)) % 0.36/0.59 (step @p72 :rule trans :premises (@p71 @p49)) % 0.36/0.59 (step @p73 :rule ho_cong :premises (@p72 @p15)) % 0.36/0.59 (step @p74 :rule trans :premises (@p73 @p14)) % 0.36/0.59 (step @p75 :rule cong :premises (@p74) :args ((not (_ (_ @t44 (_ tptp.h (_ @t52 @t1))) @t1)))) % 0.36/0.59 (step @p76 :rule refl :args (@t2)) % 0.36/0.59 (step @p77 :rule refl :args (@t27)) % 0.36/0.59 (step @p78 :rule refl :args (@t6)) % 0.36/0.59 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t6 @t27))) % 0.36/0.59 (step @p80 :rule symm :premises (@p79)) % 0.36/0.59 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.36/0.59 (step @p82 :rule refl :args (@t43)) % 0.36/0.59 (step @p83 :rule refl :args (@t8)) % 0.36/0.59 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t8 @t43))) % 0.36/0.59 (step @p85 :rule symm :premises (@p84)) % 0.36/0.59 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.36/0.59 (step @p87 :rule cong :premises (@p86) :args (@t53)) % 0.36/0.59 (step @p88 :rule nary_cong :premises (@p87 @p81) :args (@t54)) % 0.36/0.59 (step @p89 :rule cong :premises (@p88) :args ((forall @t9 @t54))) % 0.36/0.59 (step @p90 :rule bool-impl-elim :args (@t8 @t6)) % 0.36/0.59 (step @p91 :rule cong :premises (@p90) :args (@t10)) % 0.36/0.59 (step @p92 :rule trans :premises (@p91 @p89)) % 0.36/0.59 (step @p93 :rule cong :premises (@p92) :args (@t12)) % 0.36/0.59 (step @p94 :rule trans :premises (@p3 @p93)) % 0.36/0.59 (step @p95 :rule ho_cong :premises (@p94 @p76)) % 0.36/0.59 (step @p96 :rule ho_cong :premises (@p95 @p15)) % 0.36/0.59 (step @p97 :rule ho_cong :premises (@p68 @p96)) % 0.36/0.59 (step @p98 :rule ho_cong :premises (@p94 @p97)) % 0.36/0.59 (step @p99 :rule ho_cong :premises (@p98 @p15)) % 0.36/0.59 (step @p100 :rule cong :premises (@p99) :args (@t3)) % 0.36/0.59 (step @p101 :rule trans :premises (@p100 @p75)) % 0.36/0.59 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 0.36/0.59 (step @p103 :rule refl :args (@t63)) % 0.36/0.59 (step @p104 :rule bool-double-not-elim :args (@t56)) % 0.36/0.59 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t64) @t63))) % 0.36/0.59 (step @p106 :rule eq-refl :args (@t13)) % 0.36/0.59 (step @p107 :rule skolem_intro :args (@t55)) % 0.36/0.59 (step @p108 :rule refl :args (@t13)) % 0.36/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args (@t65)) % 0.36/0.59 (step @p110 :rule trans :premises (@p109 @p106)) % 0.36/0.59 (step @p111 :rule true_elim :premises (@p110)) % 0.36/0.59 (step @p112 :rule cong :premises (@p111) :args (@t66)) % 0.36/0.59 (step @p113 :rule eq-refl :args (@t23)) % 0.36/0.59 (step @p114 :rule skolem_intro :args (@t59)) % 0.36/0.59 (step @p115 :rule refl :args (@t23)) % 0.36/0.59 (step @p116 :rule cong :premises (@p115 @p114) :args (@t67)) % 0.36/0.59 (step @p117 :rule trans :premises (@p116 @p113)) % 0.36/0.59 (step @p118 :rule true_elim :premises (@p117)) % 0.36/0.59 (step @p119 :rule cong :premises (@p118) :args (@t68)) % 0.36/0.59 (step @p120 :rule cong :premises (@p119) :args (@t69)) % 0.36/0.59 (step @p121 :rule nary_cong :premises (@p120 @p112) :args (@t70)) % 0.36/0.59 (step @p122 :rule cong :premises (@p121) :args (@t71)) % 0.36/0.59 (step @p123 :rule refl :args (@t64)) % 0.36/0.59 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t64 @t71))) % 0.36/0.59 (assume-push @p554 @t64) % 0.36/0.59 (step @p126 :rule skolemize :premises (@p102)) % 0.36/0.59 (step-pop @p555 :rule scope :premises (@p126)) % 0.36/0.59 (step @p127 :rule process_scope :premises (@p555) :args (@t71)) % 0.36/0.59 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.36/0.59 (step @p130 :rule implies_elim :premises (@p129)) % 0.36/0.59 (step @p131 :rule eq_resolve :premises (@p130 @p105)) % 0.36/0.59 (step @p132 :rule chain_m_resolution :premises (@p131 @p102) :args (@t63 @t72 (@list @t56))) % 0.36/0.59 (step @p133 :rule bool-double-not-elim :args (@t60)) % 0.36/0.59 (step @p134 :rule refl :args (@t62)) % 0.36/0.59 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t62 (not @t61)))) % 0.36/0.59 (step @p136 :rule cnf_or_neg :args (@t62 0)) % 0.36/0.59 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.36/0.59 (step @p138 :rule reordering :premises (@p137) :args ((or @t60 @t62))) % 0.36/0.59 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t60 @t72 @t73)) % 0.36/0.59 (step @p140 :rule cnf_or_neg :args (@t62 1)) % 0.36/0.59 (step @p141 :rule chain_m_resolution :premises (@p140 @p132) :args (@t74 @t72 @t73)) % 0.36/0.59 (step @p142 :rule eq-symm :args (@t76 @t59)) % 0.36/0.59 (step @p143 :rule refl :args (@t59)) % 0.36/0.59 (step @p144 :rule eq-refl :args (@t22)) % 0.36/0.59 (step @p145 :rule skolem_intro :args (@t75)) % 0.36/0.59 (step @p146 :rule refl :args (@t22)) % 0.36/0.59 (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t22 @t75))) % 0.36/0.59 (step @p148 :rule trans :premises (@p147 @p144)) % 0.36/0.59 (step @p149 :rule true_elim :premises (@p148)) % 0.36/0.59 (step @p150 :rule cong :premises (@p149) :args (@t23)) % 0.36/0.59 (step @p151 :rule cong :premises (@p150 @p143) :args (@t67)) % 0.36/0.59 (step @p152 :rule trans :premises (@p151 @p142)) % 0.36/0.59 (step @p153 :rule eq-symm :args (@t59 @t23)) % 0.36/0.59 (step @p154 :rule trans :premises (@p153 @p152)) % 0.36/0.59 (step @p155 :rule eq_resolve :premises (@p114 @p154)) % 0.36/0.59 (step @p156 :rule equiv_elim1 :premises (@p155)) % 0.36/0.59 (step @p157 :rule reordering :premises (@p156) :args ((or @t76 @t77))) % 0.36/0.59 (step @p158 :rule bool-double-not-elim :args (@t58)) % 0.36/0.59 (step @p159 :rule refl :args (@t61)) % 0.36/0.59 (step @p160 :rule refl :args (@t77)) % 0.36/0.59 (step @p161 :rule refl :args (@t78)) % 0.36/0.59 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159 @p158) :args ((or @t78 @t77 @t61 @t79))) % 0.36/0.59 (assume-push @p556 @t60) % 0.36/0.59 (assume-push @p557 @t59) % 0.36/0.59 (assume-push @p558 @t55) % 0.36/0.59 (assume-push @p559 @t74) % 0.36/0.59 (step @p167 :rule evaluate :args (@t80)) % 0.36/0.59 (step @p168 :rule true_intro :premises (@p139)) % 0.36/0.59 (step @p169 :rule true_intro :premises (@p557)) % 0.36/0.59 (step @p170 :rule symm :premises (@p169)) % 0.36/0.59 (step @p171 :rule true_intro :premises (@p558)) % 0.36/0.59 (step @p172 :rule trans :premises (@p171 @p170)) % 0.36/0.59 (step @p173 :rule cong :premises (@p172) :args (@t58)) % 0.36/0.59 (step @p174 :rule false_intro :premises (@p141)) % 0.36/0.59 (step @p175 :rule symm :premises (@p174)) % 0.36/0.59 (step @p176 :rule trans :premises (@p175 @p173 @p168)) % 0.36/0.59 (step @p177 false :rule eq_resolve :premises (@p176 @p167)) % 0.36/0.59 (step-pop @p560 :rule scope :premises (@p177)) % 0.36/0.59 (step-pop @p561 :rule scope :premises (@p560)) % 0.36/0.59 (step-pop @p562 :rule scope :premises (@p561)) % 0.36/0.59 (step-pop @p563 :rule scope :premises (@p562)) % 0.36/0.59 (step @p178 :rule process_scope :premises (@p563) :args (false)) % 0.36/0.59 (assume-push @p564 @t55) % 0.36/0.59 (assume-push @p565 @t59) % 0.36/0.59 (assume-push @p566 @t60) % 0.36/0.59 (assume-push @p567 @t74) % 0.36/0.59 (step @p187 :rule and_intro :premises (@p139 @p565 @p564 @p141)) % 0.36/0.59 (step-pop @p568 :rule scope :premises (@p187)) % 0.36/0.59 (step-pop @p569 :rule scope :premises (@p568)) % 0.36/0.59 (step-pop @p570 :rule scope :premises (@p569)) % 0.36/0.59 (step-pop @p571 :rule scope :premises (@p570)) % 0.36/0.59 (step @p188 :rule process_scope :premises (@p571) :args (@t81)) % 0.36/0.59 (step @p193 :rule implies_elim :premises (@p188)) % 0.36/0.59 (step @p194 :rule resolution :premises (@p193 @p178) :args (true @t81)) % 0.36/0.59 (step @p195 :rule not_and :premises (@p194)) % 0.36/0.59 (step @p196 :rule eq_resolve :premises (@p195 @p162)) % 0.36/0.59 (step @p197 :rule reordering :premises (@p196) :args ((or @t58 @t61 @t78 @t77))) % 0.36/0.59 (step @p198 :rule eq-symm :args (@t83 @t55)) % 0.36/0.59 (step @p199 :rule refl :args (@t55)) % 0.36/0.59 (step @p200 :rule evaluate :args ((not false))) % 0.36/0.59 (step @p201 :rule skolem_intro :args (@t82)) % 0.36/0.59 (step @p202 :rule cong :premises (@p201) :args (@t84)) % 0.36/0.59 (step @p203 :rule bool-eq-false :args (@t82)) % 0.36/0.59 (step @p204 :rule eq-symm :args (false @t82)) % 0.36/0.59 (step @p205 :rule trans :premises (@p204 @p203)) % 0.36/0.59 (step @p206 :rule trans :premises (@p205 @p202 @p200)) % 0.36/0.59 (step @p207 :rule true_elim :premises (@p206)) % 0.36/0.59 (step @p208 :rule cong :premises (@p207) :args (@t13)) % 0.36/0.59 (step @p209 :rule cong :premises (@p208 @p199) :args (@t65)) % 0.36/0.59 (step @p210 :rule trans :premises (@p209 @p198)) % 0.36/0.59 (step @p211 :rule eq-symm :args (@t55 @t13)) % 0.36/0.59 (step @p212 :rule trans :premises (@p211 @p210)) % 0.36/0.59 (step @p213 :rule eq_resolve :premises (@p107 @p212)) % 0.36/0.59 (step @p214 :rule equiv_elim2 :premises (@p213)) % 0.36/0.59 (step @p215 :rule equiv_elim1 :premises (@p149)) % 0.36/0.59 (step @p216 :rule reordering :premises (@p215) :args ((or @t75 @t85))) % 0.36/0.59 (step @p217 :rule cong :premises (@p111) :args (@t86)) % 0.36/0.59 (step @p218 :rule eq-refl :args (@t17)) % 0.36/0.59 (step @p219 :rule skolem_intro :args (@t87)) % 0.36/0.59 (step @p220 :rule refl :args (@t17)) % 0.36/0.59 (step @p221 :rule cong :premises (@p220 @p219) :args (@t88)) % 0.36/0.59 (step @p222 :rule trans :premises (@p221 @p218)) % 0.36/0.59 (step @p223 :rule true_elim :premises (@p222)) % 0.36/0.59 (step @p224 :rule cong :premises (@p223) :args (@t89)) % 0.36/0.59 (step @p225 :rule cong :premises (@p224) :args (@t90)) % 0.36/0.59 (step @p226 :rule nary_cong :premises (@p225 @p217) :args (@t91)) % 0.36/0.59 (step @p227 :rule cong :premises (@p146 @p226) :args ((=> @t22 @t91))) % 0.36/0.59 (assume-push @p572 @t22) % 0.36/0.59 (step @p229 :rule instantiate :premises (@p572) :args ((@list tptp.h))) % 0.36/0.59 (step-pop @p573 :rule scope :premises (@p229)) % 0.36/0.59 (step @p230 :rule process_scope :premises (@p573) :args (@t91)) % 0.36/0.59 (step @p232 :rule eq_resolve :premises (@p230 @p227)) % 0.36/0.59 (step @p233 :rule implies_elim :premises (@p232)) % 0.36/0.59 (step @p234 :rule bool-eq-true :args (@t92)) % 0.36/0.59 (step @p235 :rule skolem_intro :args (@t92)) % 0.36/0.59 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.36/0.59 (assume-push @p574 @t75) % 0.36/0.59 (assume-push @p575 @t76) % 0.36/0.59 (assume-push @p576 @t92) % 0.36/0.59 (assume-push @p577 @t76) % 0.36/0.59 (assume-push @p578 @t75) % 0.36/0.59 (assume-push @p579 @t92) % 0.36/0.59 (step @p243 :rule true_intro :premises (@p575)) % 0.36/0.59 (step @p244 :rule true_intro :premises (@p574)) % 0.36/0.59 (step @p245 :rule symm :premises (@p244)) % 0.36/0.59 (step @p246 :rule trans :premises (@p235 @p245)) % 0.36/0.59 (step @p247 :rule cong :premises (@p246) :args (@t93)) % 0.36/0.59 (step @p248 :rule trans :premises (@p247 @p243)) % 0.36/0.59 (step @p249 :rule true_elim :premises (@p248)) % 0.36/0.59 (step-pop @p580 :rule scope :premises (@p249)) % 0.36/0.59 (step-pop @p581 :rule scope :premises (@p580)) % 0.36/0.59 (step-pop @p582 :rule scope :premises (@p581)) % 0.36/0.59 (step @p250 :rule process_scope :premises (@p582) :args (@t93)) % 0.36/0.59 (step @p254 :rule and_intro :premises (@p575 @p574 @p236)) % 0.36/0.59 (step @p255 :rule modus_ponens :premises (@p254 @p250)) % 0.36/0.59 (step-pop @p583 :rule scope :premises (@p255)) % 0.36/0.59 (step-pop @p584 :rule scope :premises (@p583)) % 0.36/0.59 (step-pop @p585 :rule scope :premises (@p584)) % 0.36/0.59 (step @p256 :rule process_scope :premises (@p585) :args (@t93)) % 0.36/0.59 (step @p260 :rule implies_elim :premises (@p256)) % 0.36/0.59 (step @p261 :rule cnf_and_neg :args (@t94)) % 0.36/0.59 (step @p262 :rule resolution :premises (@p261 @p260) :args (true @t94)) % 0.36/0.59 (step @p263 :rule reordering :premises (@p262) :args ((or @t97 @t96 @t93 @t95))) % 0.36/0.59 (step @p264 :rule eq_resolve :premises (@p201 @p203)) % 0.36/0.59 (step @p265 :rule refl :args (@t99)) % 0.36/0.59 (step @p266 :rule bool-double-not-elim :args (@t83)) % 0.36/0.59 (step @p267 :rule bool-double-not-elim :args (@t55)) % 0.36/0.59 (step @p268 :rule bool-double-not-elim :args (@t82)) % 0.36/0.59 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266 @p265) :args ((or @t103 @t102 @t101 @t99))) % 0.36/0.59 (assume-push @p586 @t84) % 0.36/0.59 (assume-push @p587 @t78) % 0.36/0.59 (assume-push @p588 @t100) % 0.36/0.59 (assume-push @p589 @t100) % 0.36/0.59 (assume-push @p590 @t84) % 0.36/0.59 (assume-push @p591 @t78) % 0.36/0.59 (step @p276 :rule false_intro :premises (@p588)) % 0.36/0.59 (step @p277 :rule false_intro :premises (@p587)) % 0.36/0.59 (step @p278 :rule trans :premises (@p277 @p207)) % 0.36/0.59 (step @p279 :rule cong :premises (@p278) :args (@t98)) % 0.36/0.59 (step @p280 :rule trans :premises (@p279 @p276)) % 0.36/0.59 (step @p281 :rule false_elim :premises (@p280)) % 0.36/0.59 (step-pop @p592 :rule scope :premises (@p281)) % 0.36/0.59 (step-pop @p593 :rule scope :premises (@p592)) % 0.36/0.59 (step-pop @p594 :rule scope :premises (@p593)) % 0.36/0.59 (step @p282 :rule process_scope :premises (@p594) :args (@t99)) % 0.36/0.59 (step @p286 :rule and_intro :premises (@p588 @p264 @p587)) % 0.36/0.59 (step @p287 :rule modus_ponens :premises (@p286 @p282)) % 0.36/0.59 (step-pop @p595 :rule scope :premises (@p287)) % 0.36/0.59 (step-pop @p596 :rule scope :premises (@p595)) % 0.36/0.59 (step-pop @p597 :rule scope :premises (@p596)) % 0.36/0.59 (step @p288 :rule process_scope :premises (@p597) :args (@t99)) % 0.36/0.59 (step @p292 :rule implies_elim :premises (@p288)) % 0.36/0.59 (step @p293 :rule cnf_and_neg :args (@t104)) % 0.36/0.59 (step @p294 :rule resolution :premises (@p293 @p292) :args (true @t104)) % 0.36/0.59 (step @p295 :rule eq_resolve :premises (@p294 @p269)) % 0.36/0.59 (step @p296 :rule reordering :premises (@p295) :args ((or @t55 @t82 @t83 @t99))) % 0.36/0.59 (step @p297 :rule refl :args (@t87)) % 0.36/0.59 (step @p298 :rule symm :premises (@p235)) % 0.36/0.59 (step @p299 :rule cong :premises (@p298) :args (@t17)) % 0.36/0.59 (step @p300 :rule cong :premises (@p299 @p297) :args (@t88)) % 0.36/0.59 (step @p301 :rule eq-symm :args (@t87 @t17)) % 0.36/0.59 (step @p302 :rule trans :premises (@p301 @p300)) % 0.36/0.59 (step @p303 :rule eq_resolve :premises (@p219 @p302)) % 0.36/0.59 (step @p304 :rule equiv_elim1 :premises (@p303)) % 0.36/0.59 (step @p305 :rule reordering :premises (@p304) :args ((or @t87 @t105))) % 0.36/0.59 (step @p306 :rule cnf_or_pos :args (@t108)) % 0.36/0.59 (step @p307 :rule reordering :premises (@p306) :args ((or @t98 @t107 (not @t108)))) % 0.36/0.59 (assume-push @p598 @t75) % 0.36/0.59 (assume-push @p599 @t76) % 0.36/0.59 (assume-push @p600 @t87) % 0.36/0.59 (assume-push @p601 @t76) % 0.36/0.59 (assume-push @p602 @t75) % 0.36/0.59 (assume-push @p603 @t87) % 0.36/0.59 (step @p314 :rule true_intro :premises (@p599)) % 0.36/0.59 (step @p315 :rule true_intro :premises (@p598)) % 0.36/0.59 (step @p316 :rule symm :premises (@p315)) % 0.36/0.59 (step @p317 :rule true_intro :premises (@p600)) % 0.36/0.59 (step @p318 :rule trans :premises (@p317 @p316)) % 0.36/0.59 (step @p319 :rule cong :premises (@p318) :args (@t106)) % 0.36/0.59 (step @p320 :rule trans :premises (@p319 @p314)) % 0.36/0.59 (step @p321 :rule true_elim :premises (@p320)) % 0.36/0.59 (step-pop @p604 :rule scope :premises (@p321)) % 0.36/0.59 (step-pop @p605 :rule scope :premises (@p604)) % 0.36/0.59 (step-pop @p606 :rule scope :premises (@p605)) % 0.36/0.59 (step @p322 :rule process_scope :premises (@p606) :args (@t106)) % 0.36/0.59 (step @p326 :rule and_intro :premises (@p599 @p598 @p600)) % 0.36/0.59 (step @p327 :rule modus_ponens :premises (@p326 @p322)) % 0.36/0.59 (step-pop @p607 :rule scope :premises (@p327)) % 0.36/0.59 (step-pop @p608 :rule scope :premises (@p607)) % 0.36/0.59 (step-pop @p609 :rule scope :premises (@p608)) % 0.36/0.59 (step @p328 :rule process_scope :premises (@p609) :args (@t106)) % 0.36/0.59 (step @p332 :rule implies_elim :premises (@p328)) % 0.36/0.59 (step @p333 :rule cnf_and_neg :args (@t109)) % 0.36/0.59 (step @p334 :rule resolution :premises (@p333 @p332) :args (true @t109)) % 0.36/0.59 (step @p335 :rule reordering :premises (@p334) :args ((or @t97 @t96 @t106 @t110))) % 0.36/0.59 (step @p336 :rule chain_m_resolution :premises (@p335 @p307 @p305 @p296 @p264 @p263 @p236 @p233 @p216 @p214) :args ((or @t55 @t97 @t85) (@list true false true true false false false false true) (@list @t106 @t87 @t98 @t82 @t93 @t92 @t108 @t75 @t83))) % 0.36/0.59 (step @p337 :rule equiv_elim2 :premises (@p149)) % 0.36/0.59 (step @p338 :rule bool-double-not-elim :args (@t75)) % 0.36/0.59 (step @p339 :rule refl :args (@t97)) % 0.36/0.59 (step @p340 :rule nary_cong :premises (@p339 @p268 @p266 @p338) :args ((or @t97 @t103 @t101 @t111))) % 0.36/0.59 (assume-push @p610 @t100) % 0.36/0.59 (assume-push @p611 @t84) % 0.36/0.59 (assume-push @p612 @t96) % 0.36/0.59 (assume-push @p613 @t76) % 0.36/0.59 (step @p345 :rule evaluate :args ((= true false))) % 0.36/0.59 (step @p346 :rule false_intro :premises (@p610)) % 0.36/0.59 (step @p347 :rule false_intro :premises (@p612)) % 0.36/0.59 (step @p348 :rule trans :premises (@p347 @p207)) % 0.36/0.59 (step @p349 :rule cong :premises (@p348) :args (@t76)) % 0.36/0.59 (step @p350 :rule true_intro :premises (@p613)) % 0.36/0.59 (step @p351 :rule symm :premises (@p350)) % 0.36/0.59 (step @p352 :rule trans :premises (@p351 @p349 @p346)) % 0.36/0.59 (step @p353 false :rule eq_resolve :premises (@p352 @p345)) % 0.36/0.59 (step-pop @p614 :rule scope :premises (@p353)) % 0.36/0.59 (step-pop @p615 :rule scope :premises (@p614)) % 0.36/0.59 (step-pop @p616 :rule scope :premises (@p615)) % 0.36/0.59 (step-pop @p617 :rule scope :premises (@p616)) % 0.36/0.59 (step @p354 :rule process_scope :premises (@p617) :args (false)) % 0.36/0.59 (assume-push @p618 @t76) % 0.36/0.59 (assume-push @p619 @t84) % 0.36/0.59 (assume-push @p620 @t100) % 0.36/0.59 (assume-push @p621 @t96) % 0.36/0.59 (step @p363 :rule and_intro :premises (@p620 @p264 @p621 @p618)) % 0.36/0.59 (step-pop @p622 :rule scope :premises (@p363)) % 0.36/0.59 (step-pop @p623 :rule scope :premises (@p622)) % 0.36/0.59 (step-pop @p624 :rule scope :premises (@p623)) % 0.36/0.59 (step-pop @p625 :rule scope :premises (@p624)) % 0.36/0.59 (step @p364 :rule process_scope :premises (@p625) :args (@t112)) % 0.36/0.59 (step @p369 :rule implies_elim :premises (@p364)) % 0.36/0.59 (step @p370 :rule resolution :premises (@p369 @p354) :args (true @t112)) % 0.36/0.59 (step @p371 :rule not_and :premises (@p370)) % 0.36/0.59 (step @p372 :rule eq_resolve :premises (@p371 @p340)) % 0.36/0.59 (step @p373 :rule reordering :premises (@p372) :args ((or @t82 @t83 @t75 @t97))) % 0.36/0.59 (step @p374 :rule chain_m_resolution :premises (@p373 @p264 @p337 @p336 @p214 @p197 @p141 @p139 @p157) :args (@t77 (@list true true true true true true false false) (@list @t82 @t75 @t22 @t83 @t55 @t58 @t60 @t76))) % 0.36/0.59 (step @p375 :rule equiv_elim1 :premises (@p213)) % 0.36/0.59 (step @p376 :rule reordering :premises (@p375) :args ((or @t83 @t78))) % 0.36/0.59 (step @p377 :rule equiv_elim2 :premises (@p155)) % 0.36/0.59 (step @p378 :rule chain_m_resolution :premises (@p377 @p374) :args (@t97 @t72 (@list @t59))) % 0.36/0.59 (step @p379 :rule refl :args (@t95)) % 0.36/0.59 (step @p380 :rule bool-double-not-elim :args (@t76)) % 0.36/0.59 (step @p381 :rule refl :args (@t96)) % 0.36/0.59 (step @p382 :rule nary_cong :premises (@p161 @p381 @p380 @p379 @p265) :args ((or @t78 @t96 @t113 @t95 @t99))) % 0.36/0.59 (assume-push @p626 @t55) % 0.36/0.59 (assume-push @p627 @t75) % 0.36/0.59 (assume-push @p628 @t97) % 0.36/0.59 (assume-push @p629 @t92) % 0.36/0.59 (assume-push @p630 @t97) % 0.36/0.59 (assume-push @p631 @t75) % 0.36/0.59 (assume-push @p632 @t92) % 0.36/0.59 (assume-push @p633 @t55) % 0.36/0.59 (step @p391 :rule false_intro :premises (@p628)) % 0.36/0.59 (step @p392 :rule true_intro :premises (@p627)) % 0.36/0.59 (step @p393 :rule symm :premises (@p392)) % 0.36/0.59 (step @p394 :rule trans :premises (@p235 @p393)) % 0.36/0.59 (step @p395 :rule cong :premises (@p394) :args (@t93)) % 0.36/0.59 (step @p396 :rule true_intro :premises (@p626)) % 0.36/0.59 (step @p397 :rule trans :premises (@p396 @p298)) % 0.36/0.59 (step @p398 :rule cong :premises (@p397) :args (@t98)) % 0.36/0.59 (step @p399 :rule trans :premises (@p398 @p395 @p391)) % 0.36/0.59 (step @p400 :rule false_elim :premises (@p399)) % 0.36/0.59 (step-pop @p634 :rule scope :premises (@p400)) % 0.36/0.59 (step-pop @p635 :rule scope :premises (@p634)) % 0.36/0.59 (step-pop @p636 :rule scope :premises (@p635)) % 0.36/0.59 (step-pop @p637 :rule scope :premises (@p636)) % 0.36/0.59 (step @p401 :rule process_scope :premises (@p637) :args (@t99)) % 0.36/0.59 (step @p406 :rule and_intro :premises (@p628 @p627 @p236 @p626)) % 0.36/0.59 (step @p407 :rule modus_ponens :premises (@p406 @p401)) % 0.36/0.59 (step-pop @p638 :rule scope :premises (@p407)) % 0.36/0.59 (step-pop @p639 :rule scope :premises (@p638)) % 0.36/0.59 (step-pop @p640 :rule scope :premises (@p639)) % 0.36/0.59 (step-pop @p641 :rule scope :premises (@p640)) % 0.36/0.59 (step @p408 :rule process_scope :premises (@p641) :args (@t99)) % 0.36/0.59 (step @p413 :rule implies_elim :premises (@p408)) % 0.36/0.59 (step @p414 :rule cnf_and_neg :args (@t114)) % 0.36/0.59 (step @p415 :rule resolution :premises (@p414 @p413) :args (true @t114)) % 0.36/0.59 (step @p416 :rule eq_resolve :premises (@p415 @p382)) % 0.36/0.59 (step @p417 :rule reordering :premises (@p416) :args ((or @t76 @t78 @t96 @t95 @t99))) % 0.36/0.59 (step @p418 :rule refl :args (@t105)) % 0.36/0.59 (step @p419 :rule nary_cong :premises (@p381 @p380 @p379 @p418) :args ((or @t96 @t113 @t95 @t105))) % 0.36/0.59 (assume-push @p642 @t75) % 0.36/0.59 (assume-push @p643 @t97) % 0.36/0.59 (assume-push @p644 @t92) % 0.36/0.59 (assume-push @p645 @t97) % 0.36/0.59 (assume-push @p646 @t75) % 0.36/0.59 (assume-push @p647 @t92) % 0.36/0.59 (step @p426 :rule false_intro :premises (@p643)) % 0.36/0.59 (step @p427 :rule true_intro :premises (@p642)) % 0.36/0.59 (step @p428 :rule symm :premises (@p427)) % 0.36/0.59 (step @p429 :rule trans :premises (@p235 @p428)) % 0.36/0.59 (step @p430 :rule cong :premises (@p429) :args (@t93)) % 0.36/0.59 (step @p431 :rule trans :premises (@p430 @p426)) % 0.36/0.59 (step @p432 :rule false_elim :premises (@p431)) % 0.36/0.59 (step-pop @p648 :rule scope :premises (@p432)) % 0.36/0.59 (step-pop @p649 :rule scope :premises (@p648)) % 0.36/0.59 (step-pop @p650 :rule scope :premises (@p649)) % 0.36/0.59 (step @p433 :rule process_scope :premises (@p650) :args (@t105)) % 0.36/0.59 (step @p437 :rule and_intro :premises (@p643 @p642 @p236)) % 0.36/0.59 (step @p438 :rule modus_ponens :premises (@p437 @p433)) % 0.36/0.59 (step-pop @p651 :rule scope :premises (@p438)) % 0.36/0.59 (step-pop @p652 :rule scope :premises (@p651)) % 0.36/0.59 (step-pop @p653 :rule scope :premises (@p652)) % 0.36/0.59 (step @p439 :rule process_scope :premises (@p653) :args (@t105)) % 0.36/0.59 (step @p443 :rule implies_elim :premises (@p439)) % 0.36/0.59 (step @p444 :rule cnf_and_neg :args (@t115)) % 0.36/0.59 (step @p445 :rule resolution :premises (@p444 @p443) :args (true @t115)) % 0.36/0.59 (step @p446 :rule eq_resolve :premises (@p445 @p419)) % 0.36/0.59 (step @p447 :rule reordering :premises (@p446) :args ((or @t76 @t96 @t95 @t105))) % 0.36/0.59 (step @p448 :rule equiv_elim2 :premises (@p303)) % 0.36/0.59 (step @p449 :rule bool-double-not-elim :args (@t87)) % 0.36/0.59 (step @p450 :rule bool-double-not-elim :args (@t106)) % 0.36/0.59 (step @p451 :rule refl :args (@t100)) % 0.36/0.59 (step @p452 :rule nary_cong :premises (@p451 @p268 @p450 @p449) :args ((or @t100 @t103 (not @t107) (not @t110)))) % 0.36/0.59 (assume-push @p654 @t83) % 0.36/0.59 (assume-push @p655 @t84) % 0.36/0.59 (assume-push @p656 @t110) % 0.36/0.59 (assume-push @p657 @t107) % 0.36/0.59 (step @p167 :rule evaluate :args (@t80)) % 0.36/0.59 (step @p457 :rule true_intro :premises (@p654)) % 0.36/0.59 (step @p458 :rule false_intro :premises (@p656)) % 0.36/0.59 (step @p459 :rule trans :premises (@p458 @p207)) % 0.36/0.59 (step @p460 :rule cong :premises (@p459) :args (@t106)) % 0.36/0.59 (step @p461 :rule false_intro :premises (@p657)) % 0.36/0.59 (step @p462 :rule symm :premises (@p461)) % 0.36/0.59 (step @p463 :rule trans :premises (@p462 @p460 @p457)) % 0.36/0.59 (step @p464 false :rule eq_resolve :premises (@p463 @p167)) % 0.36/0.59 (step-pop @p658 :rule scope :premises (@p464)) % 0.36/0.59 (step-pop @p659 :rule scope :premises (@p658)) % 0.36/0.59 (step-pop @p660 :rule scope :premises (@p659)) % 0.36/0.59 (step-pop @p661 :rule scope :premises (@p660)) % 0.36/0.59 (step @p465 :rule process_scope :premises (@p661) :args (false)) % 0.36/0.59 (assume-push @p662 @t83) % 0.36/0.59 (assume-push @p663 @t84) % 0.36/0.59 (assume-push @p664 @t107) % 0.36/0.59 (assume-push @p665 @t110) % 0.36/0.59 (step @p474 :rule and_intro :premises (@p662 @p264 @p665 @p664)) % 0.36/0.59 (step-pop @p666 :rule scope :premises (@p474)) % 0.36/0.59 (step-pop @p667 :rule scope :premises (@p666)) % 0.36/0.59 (step-pop @p668 :rule scope :premises (@p667)) % 0.36/0.59 (step-pop @p669 :rule scope :premises (@p668)) % 0.36/0.59 (step @p475 :rule process_scope :premises (@p669) :args (@t116)) % 0.36/0.59 (step @p480 :rule implies_elim :premises (@p475)) % 0.36/0.59 (step @p481 :rule resolution :premises (@p480 @p465) :args (true @t116)) % 0.36/0.59 (step @p482 :rule not_and :premises (@p481)) % 0.36/0.59 (step @p483 :rule eq_resolve :premises (@p482 @p452)) % 0.36/0.59 (step @p484 :rule reordering :premises (@p483) :args ((or @t82 @t100 @t87 @t106))) % 0.36/0.59 (step @p485 :rule chain_m_resolution :premises (@p484 @p264 @p448 @p307 @p447 @p378 @p236 @p417 @p378 @p236 @p233 @p216 @p376) :args ((or @t78 @t85) (@list true true true true true false true true false false false false) (@list @t82 @t87 @t106 @t93 @t76 @t92 @t98 @t76 @t92 @t108 @t75 @t83))) % 0.36/0.59 (step @p486 :rule nary_cong :premises (@p451 @p268 @p380 @p338) :args ((or @t100 @t103 @t113 @t111))) % 0.36/0.59 (assume-push @p670 @t83) % 0.36/0.59 (assume-push @p671 @t84) % 0.36/0.59 (assume-push @p672 @t96) % 0.36/0.59 (assume-push @p673 @t97) % 0.36/0.59 (step @p167 :rule evaluate :args (@t80)) % 0.36/0.59 (step @p491 :rule true_intro :premises (@p670)) % 0.36/0.59 (step @p492 :rule false_intro :premises (@p672)) % 0.36/0.59 (step @p493 :rule trans :premises (@p492 @p207)) % 0.36/0.59 (step @p494 :rule cong :premises (@p493) :args (@t76)) % 0.36/0.59 (step @p495 :rule false_intro :premises (@p673)) % 0.36/0.59 (step @p496 :rule symm :premises (@p495)) % 0.36/0.59 (step @p497 :rule trans :premises (@p496 @p494 @p491)) % 0.36/0.59 (step @p498 false :rule eq_resolve :premises (@p497 @p167)) % 0.36/0.59 (step-pop @p674 :rule scope :premises (@p498)) % 0.36/0.59 (step-pop @p675 :rule scope :premises (@p674)) % 0.36/0.59 (step-pop @p676 :rule scope :premises (@p675)) % 0.36/0.59 (step-pop @p677 :rule scope :premises (@p676)) % 0.36/0.59 (step @p499 :rule process_scope :premises (@p677) :args (false)) % 0.36/0.59 (assume-push @p678 @t83) % 0.36/0.59 (assume-push @p679 @t84) % 0.36/0.59 (assume-push @p680 @t97) % 0.36/0.59 (assume-push @p681 @t96) % 0.36/0.59 (step @p508 :rule and_intro :premises (@p678 @p264 @p681 @p680)) % 0.36/0.59 (step-pop @p682 :rule scope :premises (@p508)) % 0.36/0.59 (step-pop @p683 :rule scope :premises (@p682)) % 0.36/0.59 (step-pop @p684 :rule scope :premises (@p683)) % 0.36/0.59 (step-pop @p685 :rule scope :premises (@p684)) % 0.36/0.59 (step @p509 :rule process_scope :premises (@p685) :args (@t117)) % 0.36/0.59 (step @p514 :rule implies_elim :premises (@p509)) % 0.36/0.59 (step @p515 :rule resolution :premises (@p514 @p499) :args (true @t117)) % 0.36/0.59 (step @p516 :rule not_and :premises (@p515)) % 0.36/0.59 (step @p517 :rule eq_resolve :premises (@p516 @p486)) % 0.36/0.59 (step @p518 :rule reordering :premises (@p517) :args ((or @t82 @t75 @t76 @t100))) % 0.36/0.59 (step @p519 :rule chain_m_resolution :premises (@p518 @p378 @p264 @p337 @p485 @p376) :args (@t78 (@list true true true true false) (@list @t76 @t82 @t75 @t22 @t83))) % 0.36/0.59 (step @p520 :rule bool-double-not-elim :args (@t59)) % 0.36/0.59 (step @p521 :rule nary_cong :premises (@p159 @p158 @p267 @p520) :args ((or @t61 @t79 @t102 (not @t77)))) % 0.36/0.59 (assume-push @p686 @t60) % 0.36/0.59 (assume-push @p687 @t77) % 0.36/0.59 (assume-push @p688 @t78) % 0.36/0.59 (assume-push @p689 @t74) % 0.36/0.59 (step @p167 :rule evaluate :args (@t80)) % 0.36/0.59 (step @p168 :rule true_intro :premises (@p139)) % 0.36/0.59 (step @p526 :rule false_intro :premises (@p687)) % 0.36/0.59 (step @p527 :rule symm :premises (@p526)) % 0.36/0.59 (step @p528 :rule false_intro :premises (@p688)) % 0.36/0.59 (step @p529 :rule trans :premises (@p528 @p527)) % 0.36/0.59 (step @p530 :rule cong :premises (@p529) :args (@t58)) % 0.36/0.59 (step @p174 :rule false_intro :premises (@p141)) % 0.36/0.59 (step @p175 :rule symm :premises (@p174)) % 0.36/0.59 (step @p531 :rule trans :premises (@p175 @p530 @p168)) % 0.36/0.59 (step @p532 false :rule eq_resolve :premises (@p531 @p167)) % 0.36/0.59 (step-pop @p690 :rule scope :premises (@p532)) % 0.36/0.59 (step-pop @p691 :rule scope :premises (@p690)) % 0.36/0.59 (step-pop @p692 :rule scope :premises (@p691)) % 0.36/0.59 (step-pop @p693 :rule scope :premises (@p692)) % 0.36/0.59 (step @p533 :rule process_scope :premises (@p693) :args (false)) % 0.36/0.59 (assume-push @p694 @t60) % 0.36/0.59 (assume-push @p695 @t74) % 0.36/0.59 (assume-push @p696 @t78) % 0.36/0.59 (assume-push @p697 @t77) % 0.36/0.59 (step @p542 :rule and_intro :premises (@p139 @p697 @p696 @p141)) % 0.36/0.59 (step-pop @p698 :rule scope :premises (@p542)) % 0.36/0.59 (step-pop @p699 :rule scope :premises (@p698)) % 0.36/0.59 (step-pop @p700 :rule scope :premises (@p699)) % 0.36/0.59 (step-pop @p701 :rule scope :premises (@p700)) % 0.36/0.59 (step @p543 :rule process_scope :premises (@p701) :args (@t118)) % 0.36/0.59 (step @p548 :rule implies_elim :premises (@p543)) % 0.36/0.59 (step @p549 :rule resolution :premises (@p548 @p533) :args (true @t118)) % 0.36/0.59 (step @p550 :rule not_and :premises (@p549)) % 0.36/0.59 (step @p551 :rule eq_resolve :premises (@p550 @p521)) % 0.36/0.59 (step @p552 :rule reordering :premises (@p551) :args ((or @t55 @t58 @t59 @t61))) % 0.36/0.59 (step @p553 false :rule chain_m_resolution :premises (@p552 @p519 @p374 @p141 @p139) :args (false (@list true true true false) (@list @t55 @t59 @t58 @t60))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------