%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.003 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:13:00 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO500^1.003 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 : Wed Jun 3 00:17:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-const tptp.f0 (-> Bool Bool)) % 0.38/0.59 (declare-const tptp.f1 (-> Bool Bool)) % 0.38/0.59 (declare-const tptp.f2 (-> Bool Bool)) % 0.38/0.59 (declare-const tptp.x Bool) % 0.38/0.59 (define @t1 () (_ tptp.f2 tptp.x)) % 0.38/0.59 (define @t2 () (_ tptp.f2 @t1)) % 0.38/0.59 (define @t3 () (_ tptp.f2 @t2)) % 0.38/0.59 (define @t4 () (_ tptp.f1 @t3)) % 0.38/0.59 (define @t5 () (_ tptp.f0 @t4)) % 0.38/0.59 (define @t6 () (_ tptp.f0 @t5)) % 0.38/0.59 (define @t7 () (_ tptp.f1 @t1)) % 0.38/0.59 (define @t8 () (_ tptp.f1 @t7)) % 0.38/0.59 (define @t9 () (_ tptp.f1 @t8)) % 0.38/0.59 (define @t10 () (= (_ tptp.f0 @t9) (_ tptp.f0 @t6))) % 0.38/0.59 (define @t11 () (not @t10)) % 0.38/0.59 (define @t12 () (@purify @t9)) % 0.38/0.59 (define @t13 () (tptp.f0 @t12)) % 0.38/0.59 (define @t14 () (@purify @t6)) % 0.38/0.59 (define @t15 () (tptp.f0 @t14)) % 0.38/0.59 (define @t16 () (_ tptp.f0 @t14)) % 0.38/0.59 (define @t17 () (= @t6 @t14)) % 0.38/0.59 (define @t18 () (_ tptp.f0 @t12)) % 0.38/0.59 (define @t19 () (= @t9 @t12)) % 0.38/0.59 (define @t20 () (@purify @t5)) % 0.38/0.59 (define @t21 () (tptp.f0 @t20)) % 0.38/0.59 (define @t22 () (_ tptp.f0 @t20)) % 0.38/0.59 (define @t23 () (= @t5 @t20)) % 0.38/0.59 (define @t24 () (not @t14)) % 0.38/0.59 (define @t25 () (not @t12)) % 0.38/0.59 (define @t26 () (not @t15)) % 0.38/0.59 (define @t27 () (not @t13)) % 0.38/0.59 (define @t28 () (not @t27)) % 0.38/0.59 (define @t29 () (= false true)) % 0.38/0.59 (define @t30 () (and @t15 @t14 @t12 @t27)) % 0.38/0.59 (define @t31 () (@purify @t8)) % 0.38/0.59 (define @t32 () (tptp.f1 @t31)) % 0.38/0.59 (define @t33 () (_ tptp.f1 @t31)) % 0.38/0.59 (define @t34 () (= @t8 @t31)) % 0.38/0.59 (define @t35 () (@purify @t7)) % 0.38/0.59 (define @t36 () (tptp.f1 @t35)) % 0.38/0.59 (define @t37 () (_ tptp.f1 @t35)) % 0.38/0.59 (define @t38 () (= @t7 @t35)) % 0.38/0.59 (define @t39 () (not @t31)) % 0.38/0.59 (define @t40 () (@purify @t3)) % 0.38/0.59 (define @t41 () (tptp.f1 @t40)) % 0.38/0.59 (define @t42 () (not @t41)) % 0.38/0.59 (define @t43 () (not @t40)) % 0.38/0.59 (define @t44 () (not @t32)) % 0.38/0.59 (define @t45 () (not @t44)) % 0.38/0.59 (define @t46 () (= true false)) % 0.38/0.59 (define @t47 () (and @t44 @t31 @t40 @t41)) % 0.38/0.59 (define @t48 () (not @t36)) % 0.38/0.59 (define @t49 () (not @t35)) % 0.38/0.59 (define @t50 () (and @t44 @t31 @t35 @t36)) % 0.38/0.59 (define @t51 () (@purify @t2)) % 0.38/0.59 (define @t52 () (tptp.f2 @t51)) % 0.38/0.59 (define @t53 () (_ tptp.f2 @t51)) % 0.38/0.59 (define @t54 () (= @t2 @t51)) % 0.38/0.59 (define @t55 () (= @t3 @t40)) % 0.38/0.59 (define @t56 () (@purify @t1)) % 0.38/0.59 (define @t57 () (tptp.f1 @t56)) % 0.38/0.59 (define @t58 () (_ tptp.f1 @t56)) % 0.38/0.59 (define @t59 () (= @t1 @t56)) % 0.38/0.59 (define @t60 () (@purify tptp.x)) % 0.38/0.59 (define @t61 () (tptp.f2 @t60)) % 0.38/0.59 (define @t62 () (_ tptp.f2 @t60)) % 0.38/0.59 (define @t63 () (not @t56)) % 0.38/0.59 (define @t64 () (tptp.f2 @t56)) % 0.38/0.59 (define @t65 () (_ tptp.f2 @t56)) % 0.38/0.59 (define @t66 () (not @t51)) % 0.38/0.59 (define @t67 () (not @t64)) % 0.38/0.59 (define @t68 () (not @t52)) % 0.38/0.59 (define @t69 () (not @t68)) % 0.38/0.59 (define @t70 () (and @t56 @t51 @t68)) % 0.38/0.59 (define @t71 () (not @t61)) % 0.38/0.59 (define @t72 () (not @t60)) % 0.38/0.59 (define @t73 () (and @t67 @t56 @t60 @t61)) % 0.38/0.59 (define @t74 () (not @t72)) % 0.38/0.59 (define @t75 () (not @t66)) % 0.38/0.59 (define @t76 () (and @t68 @t66 @t72 @t61)) % 0.38/0.59 (define @t77 () (not @t63)) % 0.38/0.59 (define @t78 () (not @t57)) % 0.38/0.59 (define @t79 () (not @t78)) % 0.38/0.59 (define @t80 () (not @t49)) % 0.38/0.59 (define @t81 () (and @t36 @t49 @t63 @t78)) % 0.38/0.59 (define @t82 () (@list true true true true true false)) % 0.38/0.59 (define @t83 () (not @t48)) % 0.38/0.59 (define @t84 () (and @t41 @t40 @t35 @t48)) % 0.38/0.59 (define @t85 () (and @t41 @t40 @t56 @t78)) % 0.38/0.59 (define @t86 () (not @t71)) % 0.38/0.59 (define @t87 () (and @t52 @t51 @t60 @t71)) % 0.38/0.59 (define @t88 () (and @t64 @t63 @t72 @t71)) % 0.38/0.59 (define @t89 () (and @t52 @t63 @t66)) % 0.38/0.59 (define @t90 () (not @t43)) % 0.38/0.59 (define @t91 () (not @t39)) % 0.38/0.59 (define @t92 () (and @t44 @t39 @t43 @t41)) % 0.38/0.59 (define @t93 () (@purify @t4)) % 0.38/0.59 (define @t94 () (_ tptp.f1 @t40)) % 0.38/0.59 (define @t95 () (= @t4 @t93)) % 0.38/0.59 (define @t96 () (not @t93)) % 0.38/0.59 (define @t97 () (tptp.f0 @t93)) % 0.38/0.59 (define @t98 () (not @t97)) % 0.38/0.59 (define @t99 () (not @t96)) % 0.38/0.59 (define @t100 () (not @t25)) % 0.38/0.59 (define @t101 () (and @t27 @t25 @t96 @t97)) % 0.38/0.59 (define @t102 () (_ tptp.f0 @t93)) % 0.38/0.59 (define @t103 () (not @t20)) % 0.38/0.59 (define @t104 () (not @t21)) % 0.38/0.59 (define @t105 () (not @t103)) % 0.38/0.59 (define @t106 () (and @t27 @t25 @t103 @t21)) % 0.38/0.59 (define @t107 () (not @t104)) % 0.38/0.59 (define @t108 () (not @t24)) % 0.38/0.59 (define @t109 () (and @t15 @t24 @t103 @t104)) % 0.38/0.59 (define @t110 () (and @t27 @t12 @t93 @t97)) % 0.38/0.59 (define @t111 () (not @t42)) % 0.38/0.59 (define @t112 () (and @t32 @t31 @t40 @t42)) % 0.38/0.59 (define @t113 () (and @t42 @t43 @t63)) % 0.38/0.59 (define @t114 () (and @t32 @t39 @t49 @t48)) % 0.38/0.59 (define @t115 () (and @t42 @t40 @t56 @t57)) % 0.38/0.59 (define @t116 () (@list true)) % 0.38/0.59 (define @t117 () (not @t26)) % 0.38/0.59 (define @t118 () (and @t26 @t14 @t12 @t13)) % 0.38/0.59 (define @t119 () (and @t13 @t25 @t96)) % 0.38/0.59 (define @t120 () (and @t26 @t14 @t20 @t21)) % 0.38/0.59 (define @t121 () (and @t12 @t13 @t93)) % 0.38/0.59 (define @t122 () (and @t13 @t12 @t20 @t104)) % 0.38/0.59 (define @t123 () (and @t26 @t24 @t25 @t13)) % 0.38/0.59 (assume @p1 @t11) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule eq-symm :args (@t13 @t15)) % 0.38/0.59 (step @p4 :rule refl :args (@t15)) % 0.38/0.59 (step @p5 :rule refl :args (@t16)) % 0.38/0.59 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t16 @t15))) % 0.38/0.59 (step @p7 :rule symm :premises (@p6)) % 0.38/0.59 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.38/0.59 (step @p9 :rule eq-refl :args (@t6)) % 0.38/0.59 (step @p10 :rule skolem_intro :args (@t14)) % 0.38/0.59 (step @p11 :rule refl :args (@t6)) % 0.38/0.59 (step @p12 :rule cong :premises (@p11 @p10) :args (@t17)) % 0.38/0.59 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.59 (step @p14 :rule true_elim :premises (@p13)) % 0.38/0.59 (step @p15 :rule refl :args (tptp.f0)) % 0.38/0.59 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p8)) % 0.38/0.59 (step @p18 :rule refl :args (@t13)) % 0.38/0.59 (step @p19 :rule refl :args (@t18)) % 0.38/0.59 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t18 @t13))) % 0.38/0.59 (step @p21 :rule symm :premises (@p20)) % 0.38/0.59 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.59 (step @p23 :rule eq-refl :args (@t9)) % 0.38/0.59 (step @p24 :rule skolem_intro :args (@t12)) % 0.38/0.59 (step @p25 :rule refl :args (@t9)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25 @p24) :args (@t19)) % 0.38/0.59 (step @p27 :rule trans :premises (@p26 @p23)) % 0.38/0.59 (step @p28 :rule true_elim :premises (@p27)) % 0.38/0.59 (step @p29 :rule ho_cong :premises (@p15 @p28)) % 0.38/0.59 (step @p30 :rule trans :premises (@p29 @p22)) % 0.38/0.59 (step @p31 :rule cong :premises (@p30 @p17) :args (@t10)) % 0.38/0.59 (step @p32 :rule trans :premises (@p31 @p3)) % 0.38/0.59 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.38/0.59 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.38/0.59 (step @p36 :rule eq-symm :args (@t21 @t14)) % 0.38/0.59 (step @p37 :rule refl :args (@t14)) % 0.38/0.59 (step @p38 :rule refl :args (@t21)) % 0.38/0.59 (step @p39 :rule refl :args (@t22)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t22 @t21))) % 0.38/0.59 (step @p41 :rule symm :premises (@p40)) % 0.38/0.59 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.38/0.59 (step @p43 :rule eq-refl :args (@t5)) % 0.38/0.59 (step @p44 :rule skolem_intro :args (@t20)) % 0.38/0.59 (step @p45 :rule refl :args (@t5)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args (@t23)) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p43)) % 0.38/0.59 (step @p48 :rule true_elim :premises (@p47)) % 0.38/0.59 (step @p49 :rule ho_cong :premises (@p15 @p48)) % 0.38/0.59 (step @p50 :rule trans :premises (@p49 @p42)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50 @p37) :args (@t17)) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p36)) % 0.38/0.59 (step @p53 :rule eq-symm :args (@t14 @t6)) % 0.38/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.59 (step @p55 :rule eq_resolve :premises (@p10 @p54)) % 0.38/0.59 (step @p56 :rule equiv_elim1 :premises (@p55)) % 0.38/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t21 @t24))) % 0.38/0.59 (step @p58 :rule bool-double-not-elim :args (@t13)) % 0.38/0.59 (step @p59 :rule refl :args (@t25)) % 0.38/0.59 (step @p60 :rule refl :args (@t26)) % 0.38/0.59 (step @p61 :rule refl :args (@t24)) % 0.38/0.59 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58) :args ((or @t24 @t26 @t25 @t28))) % 0.38/0.59 (assume-push @p1221 @t15) % 0.38/0.59 (assume-push @p1222 @t14) % 0.38/0.59 (assume-push @p1223 @t12) % 0.38/0.59 (assume-push @p1224 @t27) % 0.38/0.59 (step @p67 :rule evaluate :args (@t29)) % 0.38/0.59 (step @p68 :rule true_intro :premises (@p1221)) % 0.38/0.59 (step @p69 :rule true_intro :premises (@p1222)) % 0.38/0.59 (step @p70 :rule symm :premises (@p69)) % 0.38/0.59 (step @p71 :rule true_intro :premises (@p1223)) % 0.38/0.59 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.59 (step @p73 :rule cong :premises (@p72) :args (@t13)) % 0.38/0.59 (step @p74 :rule false_intro :premises (@p1224)) % 0.38/0.59 (step @p75 :rule symm :premises (@p74)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p73 @p68)) % 0.38/0.59 (step @p77 false :rule eq_resolve :premises (@p76 @p67)) % 0.38/0.59 (step-pop @p1225 :rule scope :premises (@p77)) % 0.38/0.59 (step-pop @p1226 :rule scope :premises (@p1225)) % 0.38/0.59 (step-pop @p1227 :rule scope :premises (@p1226)) % 0.38/0.59 (step-pop @p1228 :rule scope :premises (@p1227)) % 0.38/0.59 (step @p78 :rule process_scope :premises (@p1228) :args (false)) % 0.38/0.59 (assume-push @p1229 @t14) % 0.38/0.59 (assume-push @p1230 @t15) % 0.38/0.59 (assume-push @p1231 @t12) % 0.38/0.59 (assume-push @p1232 @t27) % 0.38/0.59 (step @p87 :rule and_intro :premises (@p1230 @p1229 @p1231 @p1232)) % 0.38/0.59 (step-pop @p1233 :rule scope :premises (@p87)) % 0.38/0.59 (step-pop @p1234 :rule scope :premises (@p1233)) % 0.38/0.59 (step-pop @p1235 :rule scope :premises (@p1234)) % 0.38/0.59 (step-pop @p1236 :rule scope :premises (@p1235)) % 0.38/0.59 (step @p88 :rule process_scope :premises (@p1236) :args (@t30)) % 0.38/0.59 (step @p93 :rule implies_elim :premises (@p88)) % 0.38/0.59 (step @p94 :rule resolution :premises (@p93 @p78) :args (true @t30)) % 0.38/0.59 (step @p95 :rule not_and :premises (@p94)) % 0.38/0.59 (step @p96 :rule eq_resolve :premises (@p95 @p62)) % 0.38/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t13 @t26 @t24 @t25))) % 0.38/0.59 (step @p98 :rule eq-symm :args (@t32 @t12)) % 0.38/0.59 (step @p99 :rule refl :args (@t12)) % 0.38/0.59 (step @p100 :rule refl :args (@t32)) % 0.38/0.59 (step @p101 :rule refl :args (@t33)) % 0.38/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t33 @t32))) % 0.38/0.59 (step @p103 :rule symm :premises (@p102)) % 0.38/0.59 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.38/0.59 (step @p105 :rule eq-refl :args (@t8)) % 0.38/0.59 (step @p106 :rule skolem_intro :args (@t31)) % 0.38/0.59 (step @p107 :rule refl :args (@t8)) % 0.38/0.59 (step @p108 :rule cong :premises (@p107 @p106) :args (@t34)) % 0.38/0.59 (step @p109 :rule trans :premises (@p108 @p105)) % 0.38/0.59 (step @p110 :rule true_elim :premises (@p109)) % 0.38/0.59 (step @p111 :rule refl :args (tptp.f1)) % 0.38/0.59 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.38/0.59 (step @p113 :rule trans :premises (@p112 @p104)) % 0.38/0.59 (step @p114 :rule cong :premises (@p113 @p99) :args (@t19)) % 0.38/0.59 (step @p115 :rule trans :premises (@p114 @p98)) % 0.38/0.59 (step @p116 :rule eq-symm :args (@t12 @t9)) % 0.38/0.59 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.59 (step @p118 :rule eq_resolve :premises (@p24 @p117)) % 0.38/0.59 (step @p119 :rule equiv_elim2 :premises (@p118)) % 0.38/0.59 (step @p120 :rule eq-symm :args (@t36 @t31)) % 0.38/0.59 (step @p121 :rule refl :args (@t31)) % 0.38/0.59 (step @p122 :rule refl :args (@t36)) % 0.38/0.59 (step @p123 :rule refl :args (@t37)) % 0.38/0.59 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t37 @t36))) % 0.38/0.59 (step @p125 :rule symm :premises (@p124)) % 0.38/0.59 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.38/0.59 (step @p127 :rule eq-refl :args (@t7)) % 0.38/0.59 (step @p128 :rule skolem_intro :args (@t35)) % 0.38/0.59 (step 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false true true true true false true false) (@list @t15 @t20 @t97 @t13 @t93 @t41 @t32 @t12 @t13 @t15 @t21))) % 0.38/0.59 (assume-push @p1589 @t12) % 0.38/0.59 (assume-push @p1590 @t13) % 0.38/0.59 (assume-push @p1591 @t93) % 0.38/0.59 (assume-push @p1592 @t13) % 0.38/0.59 (assume-push @p1593 @t12) % 0.38/0.59 (assume-push @p1594 @t93) % 0.38/0.59 (step @p1126 :rule true_intro :premises (@p1590)) % 0.38/0.59 (step @p1127 :rule true_intro :premises (@p1589)) % 0.38/0.59 (step @p1128 :rule symm :premises (@p1127)) % 0.38/0.59 (step @p1129 :rule true_intro :premises (@p1591)) % 0.38/0.59 (step @p1130 :rule trans :premises (@p1129 @p1128)) % 0.38/0.59 (step @p1131 :rule cong :premises (@p1130) :args (@t97)) % 0.38/0.59 (step @p1132 :rule trans :premises (@p1131 @p1126)) % 0.38/0.59 (step @p1133 :rule true_elim :premises (@p1132)) % 0.38/0.59 (step-pop @p1595 :rule scope :premises (@p1133)) % 0.38/0.59 (step-pop @p1596 :rule scope :premises (@p1595)) % 0.38/0.59 (step-pop @p1597 :rule scope :premises (@p1596)) % 0.38/0.59 (step @p1134 :rule process_scope :premises (@p1597) :args (@t97)) % 0.38/0.59 (step @p1138 :rule and_intro :premises (@p1590 @p1589 @p1591)) % 0.38/0.59 (step @p1139 :rule modus_ponens :premises (@p1138 @p1134)) % 0.38/0.59 (step-pop @p1598 :rule scope :premises (@p1139)) % 0.38/0.59 (step-pop @p1599 :rule scope :premises (@p1598)) % 0.38/0.59 (step-pop @p1600 :rule scope :premises (@p1599)) % 0.38/0.59 (step @p1140 :rule process_scope :premises (@p1600) :args (@t97)) % 0.38/0.59 (step @p1144 :rule implies_elim :premises (@p1140)) % 0.38/0.59 (step @p1145 :rule cnf_and_neg :args (@t121)) % 0.38/0.59 (step @p1146 :rule resolution :premises (@p1145 @p1144) :args (true @t121)) % 0.38/0.59 (step @p1147 :rule reordering :premises (@p1146) :args ((or @t97 @t27 @t25 @t96))) % 0.38/0.59 (step @p1148 :rule chain_m_resolution :premises (@p789 @p1119) :args (@t104 @t116 (@list @t14))) % 0.38/0.59 (step @p1149 :rule nary_cong :premises (@p59 @p1015 @p1083 @p790) :args ((or @t25 @t27 @t103 @t107))) % 0.38/0.59 (assume-push @p1601 @t13) % 0.38/0.59 (assume-push @p1602 @t12) % 0.38/0.59 (assume-push @p1603 @t20) % 0.38/0.59 (assume-push @p1604 @t104) % 0.38/0.59 (step @p67 :rule evaluate :args (@t29)) % 0.38/0.59 (step @p1154 :rule true_intro :premises (@p1601)) % 0.38/0.59 (step @p1155 :rule true_intro :premises (@p1602)) % 0.38/0.59 (step @p1156 :rule symm :premises (@p1155)) % 0.38/0.59 (step @p1157 :rule true_intro :premises (@p1603)) % 0.38/0.59 (step @p1158 :rule trans :premises (@p1157 @p1156)) % 0.38/0.59 (step @p1159 :rule cong :premises (@p1158) :args (@t21)) % 0.38/0.59 (step @p1160 :rule false_intro :premises (@p1604)) % 0.38/0.59 (step @p1161 :rule symm :premises (@p1160)) % 0.38/0.59 (step @p1162 :rule trans :premises (@p1161 @p1159 @p1154)) % 0.38/0.59 (step @p1163 false :rule eq_resolve :premises (@p1162 @p67)) % 0.38/0.59 (step-pop @p1605 :rule scope :premises (@p1163)) % 0.38/0.59 (step-pop @p1606 :rule scope :premises (@p1605)) % 0.38/0.59 (step-pop @p1607 :rule scope :premises (@p1606)) % 0.38/0.59 (step-pop @p1608 :rule scope :premises (@p1607)) % 0.38/0.59 (step @p1164 :rule process_scope :premises (@p1608) :args (false)) % 0.38/0.59 (assume-push @p1609 @t12) % 0.38/0.59 (assume-push @p1610 @t13) % 0.38/0.59 (assume-push @p1611 @t20) % 0.38/0.59 (assume-push @p1612 @t104) % 0.38/0.59 (step @p1173 :rule and_intro :premises (@p1610 @p1609 @p1611 @p1612)) % 0.38/0.59 (step-pop @p1613 :rule scope :premises (@p1173)) % 0.38/0.59 (step-pop @p1614 :rule scope :premises (@p1613)) % 0.38/0.59 (step-pop @p1615 :rule scope :premises (@p1614)) % 0.38/0.59 (step-pop @p1616 :rule scope :premises (@p1615)) % 0.38/0.59 (step @p1174 :rule process_scope :premises (@p1616) :args (@t122)) % 0.38/0.59 (step @p1179 :rule implies_elim :premises (@p1174)) % 0.38/0.59 (step @p1180 :rule resolution :premises (@p1179 @p1164) :args (true @t122)) % 0.38/0.59 (step @p1181 :rule not_and :premises (@p1180)) % 0.38/0.59 (step @p1182 :rule eq_resolve :premises (@p1181 @p1149)) % 0.38/0.59 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t21 @t27 @t25 @t103))) % 0.38/0.59 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1148 @p1013 @p1082 @p1147 @p1013 @p1009 @p1008 @p828) :args (@t25 (@list true false false false false false false false) (@list @t21 @t13 @t20 @t97 @t13 @t93 @t41 @t32))) % 0.38/0.59 (step @p1185 :rule nary_cong :premises (@p1015 @p1014 @p791 @p693) :args ((or @t27 @t117 @t108 @t100))) % 0.38/0.59 (assume-push @p1617 @t26) % 0.38/0.59 (assume-push @p1618 @t24) % 0.38/0.59 (assume-push @p1619 @t25) % 0.38/0.59 (assume-push @p1620 @t13) % 0.38/0.59 (step @p151 :rule evaluate :args (@t46)) % 0.38/0.59 (step @p1190 :rule false_intro :premises (@p1617)) % 0.38/0.59 (step @p1191 :rule false_intro :premises (@p1618)) % 0.38/0.59 (step @p1192 :rule symm :premises (@p1191)) % 0.38/0.59 (step @p1193 :rule false_intro :premises (@p1619)) % 0.38/0.59 (step @p1194 :rule trans :premises (@p1193 @p1192)) % 0.38/0.59 (step @p1195 :rule cong :premises (@p1194) :args (@t13)) % 0.38/0.59 (step @p1196 :rule true_intro :premises (@p1620)) % 0.38/0.59 (step @p1197 :rule symm :premises (@p1196)) % 0.38/0.59 (step @p1198 :rule trans :premises (@p1197 @p1195 @p1190)) % 0.38/0.59 (step @p1199 false :rule eq_resolve :premises (@p1198 @p151)) % 0.38/0.59 (step-pop @p1621 :rule scope :premises (@p1199)) % 0.38/0.59 (step-pop @p1622 :rule scope :premises (@p1621)) % 0.38/0.59 (step-pop @p1623 :rule scope :premises (@p1622)) % 0.38/0.59 (step-pop @p1624 :rule scope :premises (@p1623)) % 0.38/0.59 (step @p1200 :rule process_scope :premises (@p1624) :args (false)) % 0.38/0.59 (assume-push @p1625 @t13) % 0.38/0.59 (assume-push @p1626 @t26) % 0.38/0.59 (assume-push @p1627 @t24) % 0.38/0.59 (assume-push @p1628 @t25) % 0.38/0.59 (step @p1209 :rule and_intro :premises (@p1626 @p1627 @p1628 @p1625)) % 0.38/0.59 (step-pop @p1629 :rule scope :premises (@p1209)) % 0.38/0.59 (step-pop @p1630 :rule scope :premises (@p1629)) % 0.38/0.59 (step-pop @p1631 :rule scope :premises (@p1630)) % 0.38/0.59 (step-pop @p1632 :rule scope :premises (@p1631)) % 0.38/0.59 (step @p1210 :rule process_scope :premises (@p1632) :args (@t123)) % 0.38/0.59 (step @p1215 :rule implies_elim :premises (@p1210)) % 0.38/0.59 (step @p1216 :rule resolution :premises (@p1215 @p1200) :args (true @t123)) % 0.38/0.59 (step @p1217 :rule not_and :premises (@p1216)) % 0.38/0.59 (step @p1218 :rule eq_resolve :premises (@p1217 @p1185)) % 0.38/0.59 (step @p1219 :rule reordering :premises (@p1218) :args ((or @t14 @t15 @t12 @t27))) % 0.38/0.59 (step @p1220 false :rule chain_m_resolution :premises (@p1219 @p1184 @p1119 @p1013 @p1011) :args (false (@list true true false true) (@list @t12 @t14 @t13 @t15))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------