%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM727^1 : 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 : n026.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 08:40:29 AM UTC 2026 % Result : Theorem 151.96s 152.63s % Output : Proof 151.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM727^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 12:05:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 151.96/152.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.96/152.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.96/152.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.96/152.63 --- Run --ho-elim --full-saturate-quant at 18s... % 151.96/152.63 % SZS status Theorem % 151.96/152.63 % SZS output start Proof % 151.96/152.63 ( % 151.96/152.63 (declare-sort tptp.nat 0) % 151.96/152.63 (declare-sort tptp.frac 0) % 151.96/152.63 (declare-const tptp.z tptp.frac) % 151.96/152.63 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 151.96/152.63 (declare-const tptp.num (-> tptp.frac tptp.nat)) % 151.96/152.63 (declare-const tptp.y tptp.frac) % 151.96/152.63 (declare-const tptp.den (-> tptp.frac tptp.nat)) % 151.96/152.63 (declare-const tptp.x tptp.frac) % 151.96/152.63 (define @t1 () (_ tptp.den tptp.x)) % 151.96/152.63 (define @t2 () (_ tptp.ts (_ tptp.num tptp.y))) % 151.96/152.63 (define @t3 () (_ tptp.den tptp.y)) % 151.96/152.63 (define @t4 () (_ tptp.ts (_ tptp.num tptp.x))) % 151.96/152.63 (define @t5 () (= (_ @t4 @t3) (_ @t2 @t1))) % 151.96/152.63 (define @t6 () (_ tptp.ts (_ tptp.num tptp.z))) % 151.96/152.63 (define @t7 () (_ tptp.den tptp.z)) % 151.96/152.63 (define @t8 () (= (_ @t2 @t7) (_ @t6 @t3))) % 151.96/152.63 (define @t9 () (@var "Xy" tptp.nat)) % 151.96/152.63 (define @t10 () (@var "Xx" tptp.nat)) % 151.96/152.63 (define @t11 () (= @t10 @t9)) % 151.96/152.63 (define @t12 () (@var "Xz" tptp.nat)) % 151.96/152.63 (define @t13 () (_ tptp.ts @t9)) % 151.96/152.63 (define @t14 () (_ @t13 @t12)) % 151.96/152.63 (define @t15 () (_ tptp.ts @t10)) % 151.96/152.63 (define @t16 () (_ @t15 @t12)) % 151.96/152.63 (define @t17 () (= @t16 @t14)) % 151.96/152.63 (define @t18 () (@list @t10 @t9 @t12)) % 151.96/152.63 (define @t19 () (forall @t18 (=> @t17 @t11))) % 151.96/152.63 (define @t20 () (_ @t13 @t10)) % 151.96/152.63 (define @t21 () (_ @t15 @t9)) % 151.96/152.63 (define @t22 () (= @t21 @t20)) % 151.96/152.63 (define @t23 () (@list @t10 @t9)) % 151.96/152.63 (define @t24 () (forall @t23 @t22)) % 151.96/152.63 (define @t25 () (_ @t15 @t14)) % 151.96/152.63 (define @t26 () (_ (_ tptp.ts @t21) @t12)) % 151.96/152.63 (define @t27 () (= @t26 @t25)) % 151.96/152.63 (define @t28 () (forall @t18 @t27)) % 151.96/152.63 (define @t29 () (not (= (_ @t4 @t7) (_ @t6 @t1)))) % 151.96/152.63 (define @t30 () (@const 0 (@ho-elim-sort (-> tptp.frac tptp.nat)))) % 151.96/152.63 (define @t31 () (@const 1 (-> (@ho-elim-sort (-> tptp.frac tptp.nat)) tptp.frac tptp.nat))) % 151.96/152.63 (define @t32 () (_ @t31 @t30 tptp.y)) % 151.96/152.63 (define @t33 () (@const 2 (@ho-elim-sort (-> tptp.frac tptp.nat)))) % 151.96/152.63 (define @t34 () (_ @t31 @t33 tptp.x)) % 151.96/152.63 (define @t35 () (@const 3 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)))) % 151.96/152.63 (define @t36 () (@const 4 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat))))) % 151.96/152.63 (define @t37 () (_ @t36 @t35 @t34)) % 151.96/152.63 (define @t38 () (@const 5 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat))) % 151.96/152.63 (define @t39 () (_ @t38 @t37 @t32)) % 151.96/152.63 (define @t40 () (_ @t31 @t30 tptp.x)) % 151.96/152.63 (define @t41 () (_ @t31 @t33 tptp.y)) % 151.96/152.63 (define @t42 () (_ @t36 @t35 @t41)) % 151.96/152.63 (define @t43 () (_ @t38 @t42 @t40)) % 151.96/152.63 (define @t44 () (_ @t31 @t30 tptp.z)) % 151.96/152.63 (define @t45 () (_ @t38 @t42 @t44)) % 151.96/152.63 (define @t46 () (_ @t31 @t33 tptp.z)) % 151.96/152.63 (define @t47 () (_ @t36 @t35 @t46)) % 151.96/152.63 (define @t48 () (_ @t38 @t47 @t32)) % 151.96/152.63 (define @t49 () (_ @t36 @t35 @t10)) % 151.96/152.63 (define @t50 () (_ @t38 @t49 @t9)) % 151.96/152.63 (define @t51 () (_ @t36 @t35 @t9)) % 151.96/152.63 (define @t52 () (_ @t38 @t51 @t10)) % 151.96/152.63 (define @t53 () (forall @t23 (= @t50 @t52))) % 151.96/152.63 (define @t54 () (tptp.ts @t9 @t10)) % 151.96/152.63 (define @t55 () (tptp.ts @t10 @t9)) % 151.96/152.63 (define @t56 () (_ @t38 (_ @t36 @t35 @t50) @t12)) % 151.96/152.63 (define @t57 () (_ @t38 @t51 @t12)) % 151.96/152.63 (define @t58 () (_ @t38 @t49 @t57)) % 151.96/152.63 (define @t59 () (forall @t18 (= @t56 @t58))) % 151.96/152.63 (define @t60 () (tptp.ts @t9 @t12)) % 151.96/152.63 (define @t61 () (tptp.ts @t10 @t60)) % 151.96/152.63 (define @t62 () (tptp.ts @t55 @t12)) % 151.96/152.63 (define @t63 () (_ @t38 @t49 @t12)) % 151.96/152.63 (define @t64 () (not (= @t63 @t57))) % 151.96/152.63 (define @t65 () (or @t64 @t11)) % 151.96/152.63 (define @t66 () (forall @t18 @t65)) % 151.96/152.63 (define @t67 () (tptp.ts @t10 @t12)) % 151.96/152.63 (define @t68 () (not @t17)) % 151.96/152.63 (define @t69 () (or @t68 @t11)) % 151.96/152.63 (define @t70 () (_ @t38 @t37 @t44)) % 151.96/152.63 (define @t71 () (_ @t38 @t47 @t40)) % 151.96/152.63 (define @t72 () (= @t71 @t70)) % 151.96/152.63 (define @t73 () (_ @t38 (_ @t36 @t35 @t70) @t41)) % 151.96/152.63 (define @t74 () (_ @t38 (_ @t36 @t35 @t71) @t41)) % 151.96/152.63 (define @t75 () (not (= @t73 @t74))) % 151.96/152.63 (define @t76 () (or @t75 @t72)) % 151.96/152.63 (define @t77 () (forall @t18 (or (not (= @t57 @t63)) @t11))) % 151.96/152.63 (define @t78 () (= @t74 @t73)) % 151.96/152.63 (define @t79 () (not @t78)) % 151.96/152.63 (define @t80 () (or @t79 @t72)) % 151.96/152.63 (define @t81 () (not (= @t70 @t71))) % 151.96/152.63 (define @t82 () (_ @t38 @t47 @t34)) % 151.96/152.63 (define @t83 () (_ @t36 @t35 @t82)) % 151.96/152.63 (define @t84 () (_ @t38 @t83 @t32)) % 151.96/152.63 (define @t85 () (_ @t38 @t47 @t39)) % 151.96/152.63 (define @t86 () (= @t85 @t84)) % 151.96/152.63 (define @t87 () (not @t86)) % 151.96/152.63 (define @t88 () (_ @t38 (_ @t36 @t35 @t44) @t41)) % 151.96/152.63 (define @t89 () (= (_ @t38 @t37 @t88) @t73)) % 151.96/152.63 (define @t90 () (not @t89)) % 151.96/152.63 (define @t91 () (_ @t38 @t37 @t46)) % 151.96/152.63 (define @t92 () (_ @t38 @t37 @t48)) % 151.96/152.63 (define @t93 () (= @t92 (_ @t38 (_ @t36 @t35 @t91) @t32))) % 151.96/152.63 (define @t94 () (not @t93)) % 151.96/152.63 (define @t95 () (_ @t38 (_ @t36 @t35 @t40) @t41)) % 151.96/152.63 (define @t96 () (= (_ @t38 @t47 @t95) @t74)) % 151.96/152.63 (define @t97 () (not @t96)) % 151.96/152.63 (define @t98 () (= @t82 @t91)) % 151.96/152.63 (define @t99 () (not @t98)) % 151.96/152.63 (define @t100 () (= @t45 @t88)) % 151.96/152.63 (define @t101 () (not @t100)) % 151.96/152.63 (define @t102 () (= @t43 @t95)) % 151.96/152.63 (define @t103 () (not @t102)) % 151.96/152.63 (define @t104 () (= @t48 @t45)) % 151.96/152.63 (define @t105 () (not @t104)) % 151.96/152.63 (define @t106 () (= @t43 @t39)) % 151.96/152.63 (define @t107 () (not @t106)) % 151.96/152.63 (define @t108 () (and @t86 @t87)) % 151.96/152.63 (assume @p1 @t5) % 151.96/152.63 (assume @p2 @t8) % 151.96/152.63 (assume @p3 @t19) % 151.96/152.63 (assume @p4 @t24) % 151.96/152.63 (assume @p5 @t28) % 151.96/152.63 (assume @p6 @t29) % 151.96/152.63 (assume @p7 true) % 151.96/152.63 (step @p8 :rule eq-symm :args (@t39 @t43)) % 151.96/152.63 ; WARNING: add trust step for TRUST % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p9 :rule trust :premises () :args ((= @t5 (= @t39 @t43)))) % 151.96/152.63 (step @p10 :rule trans :premises (@p9 @p8)) % 151.96/152.63 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 151.96/152.63 (step @p12 :rule eq-symm :args (@t45 @t48)) % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p13 :rule trust :premises () :args ((= @t8 (= @t45 @t48)))) % 151.96/152.63 (step @p14 :rule trans :premises (@p13 @p12)) % 151.96/152.63 (step @p15 :rule eq_resolve :premises (@p2 @p14)) % 151.96/152.63 (step @p16 :rule eq-symm :args (@t50 @t52)) % 151.96/152.63 (step @p17 :rule cong :premises (@p16) :args (@t53)) % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p18 :rule trust :premises () :args ((= (forall @t23 (= @t55 @t54)) @t53))) % 151.96/152.63 (step @p19 :rule refl :args (@t54)) % 151.96/152.63 (step @p20 :rule refl :args (@t20)) % 151.96/152.63 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t20 @t54))) % 151.96/152.63 (step @p22 :rule symm :premises (@p21)) % 151.96/152.63 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 151.96/152.63 (step @p24 :rule refl :args (@t55)) % 151.96/152.63 (step @p25 :rule refl :args (@t21)) % 151.96/152.63 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t21 @t55))) % 151.96/152.63 (step @p27 :rule symm :premises (@p26)) % 151.96/152.63 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 151.96/152.63 (step @p29 :rule cong :premises (@p28 @p23) :args (@t22)) % 151.96/152.63 (step @p30 :rule cong :premises (@p29) :args (@t24)) % 151.96/152.63 (step @p31 :rule trans :premises (@p30 @p18 @p17)) % 151.96/152.63 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 151.96/152.63 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t40 @t41))) % 151.96/152.63 (step @p34 :rule instantiate :premises (@p32) :args ((@list @t44 @t41))) % 151.96/152.63 (step @p35 :rule instantiate :premises (@p32) :args ((@list @t34 @t46))) % 151.96/152.63 (step @p36 :rule eq-symm :args (@t56 @t58)) % 151.96/152.63 (step @p37 :rule cong :premises (@p36) :args (@t59)) % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p38 :rule trust :premises () :args ((= (forall @t18 (= @t62 @t61)) @t59))) % 151.96/152.63 (step @p39 :rule refl :args ((tptp.ts @t10 @t14))) % 151.96/152.63 (step @p40 :rule refl :args (@t60)) % 151.96/152.63 (step @p41 :rule refl :args (@t10)) % 151.96/152.63 (step @p42 :rule cong :premises (@p41 @p40) :args (@t61)) % 151.96/152.63 (step @p43 :rule trans :premises (@p42 @p39)) % 151.96/152.63 (step @p44 :rule refl :args (@t15)) % 151.96/152.63 (step @p45 :rule ho_cong :premises (@p44 @p40)) % 151.96/152.63 (step @p46 :rule cong :premises (@p45 @p43) :args ((= (_ @t15 @t60) @t61))) % 151.96/152.63 (step @p47 :rule symm :premises (@p46)) % 151.96/152.63 (step @p48 :rule refl :args (@t25)) % 151.96/152.63 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 151.96/152.63 (step @p50 :rule refl :args (@t14)) % 151.96/152.63 (step @p51 :rule cong :premises (@p50 @p40) :args ((= @t14 @t60))) % 151.96/152.63 (step @p52 :rule symm :premises (@p51)) % 151.96/152.63 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 151.96/152.63 (step @p54 :rule ho_cong :premises (@p44 @p53)) % 151.96/152.63 (step @p55 :rule trans :premises (@p54 @p49)) % 151.96/152.63 (step @p56 :rule refl :args ((tptp.ts @t21 @t12))) % 151.96/152.63 (step @p57 :rule refl :args (@t12)) % 151.96/152.63 (step @p58 :rule cong :premises (@p24 @p57) :args (@t62)) % 151.96/152.63 (step @p59 :rule trans :premises (@p58 @p56)) % 151.96/152.63 (step @p60 :rule refl :args (tptp.ts)) % 151.96/152.63 (step @p61 :rule ho_cong :premises (@p60 @p24)) % 151.96/152.63 (step @p62 :rule ho_cong :premises (@p61 @p57)) % 151.96/152.63 (step @p63 :rule cong :premises (@p62 @p59) :args ((= (_ (_ tptp.ts @t55) @t12) @t62))) % 151.96/152.63 (step @p64 :rule symm :premises (@p63)) % 151.96/152.63 (step @p65 :rule refl :args (@t26)) % 151.96/152.63 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 151.96/152.63 (step @p67 :rule ho_cong :premises (@p60 @p28)) % 151.96/152.63 (step @p68 :rule ho_cong :premises (@p67 @p57)) % 151.96/152.63 (step @p69 :rule trans :premises (@p68 @p66)) % 151.96/152.63 (step @p70 :rule cong :premises (@p69 @p55) :args (@t27)) % 151.96/152.63 (step @p71 :rule cong :premises (@p70) :args (@t28)) % 151.96/152.63 (step @p72 :rule trans :premises (@p71 @p38 @p37)) % 151.96/152.63 (step @p73 :rule eq_resolve :premises (@p5 @p72)) % 151.96/152.63 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t46 @t40 @t41))) % 151.96/152.63 (step @p75 :rule instantiate :premises (@p73) :args ((@list @t34 @t46 @t32))) % 151.96/152.63 (step @p76 :rule instantiate :premises (@p73) :args ((@list @t34 @t44 @t41))) % 151.96/152.63 (step @p77 :rule refl :args (@t11)) % 151.96/152.63 (step @p78 :rule eq-symm :args (@t63 @t57)) % 151.96/152.63 (step @p79 :rule cong :premises (@p78) :args (@t64)) % 151.96/152.63 (step @p80 :rule nary_cong :premises (@p79 @p77) :args (@t65)) % 151.96/152.63 (step @p81 :rule cong :premises (@p80) :args (@t66)) % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p82 :rule trust :premises () :args ((= (forall @t18 (or (not (= @t67 @t60)) @t11)) @t66))) % 151.96/152.63 (step @p83 :rule refl :args (@t11)) % 151.96/152.63 (step @p84 :rule refl :args (@t67)) % 151.96/152.63 (step @p85 :rule refl :args (@t16)) % 151.96/152.63 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t16 @t67))) % 151.96/152.63 (step @p87 :rule symm :premises (@p86)) % 151.96/152.63 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 151.96/152.63 (step @p89 :rule cong :premises (@p88 @p53) :args (@t17)) % 151.96/152.63 (step @p90 :rule cong :premises (@p89) :args (@t68)) % 151.96/152.63 (step @p91 :rule nary_cong :premises (@p90 @p83) :args (@t69)) % 151.96/152.63 (step @p92 :rule cong :premises (@p91) :args ((forall @t18 @t69))) % 151.96/152.63 (step @p93 :rule bool-impl-elim :args (@t17 @t11)) % 151.96/152.63 (step @p94 :rule cong :premises (@p93) :args (@t19)) % 151.96/152.63 (step @p95 :rule trans :premises (@p94 @p92)) % 151.96/152.63 (step @p96 :rule trans :premises (@p95 @p82 @p81)) % 151.96/152.63 (step @p97 :rule eq_resolve :premises (@p3 @p96)) % 151.96/152.63 (step @p98 :rule refl :args (@t72)) % 151.96/152.63 (step @p99 :rule eq-symm :args (@t73 @t74)) % 151.96/152.63 (step @p100 :rule cong :premises (@p99) :args (@t75)) % 151.96/152.63 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t76)) % 151.96/152.63 (step @p102 :rule refl :args (@t77)) % 151.96/152.63 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t77 @t76))) % 151.96/152.63 (assume-push @p187 @t77) % 151.96/152.63 (step @p105 :rule instantiate :premises (@p97) :args ((@list @t71 @t70 @t41))) % 151.96/152.63 (step-pop @p188 :rule scope :premises (@p105)) % 151.96/152.63 (step @p106 :rule process_scope :premises (@p188) :args (@t76)) % 151.96/152.63 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 151.96/152.63 (step @p109 :rule implies_elim :premises (@p108)) % 151.96/152.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p97) :args (@t80 (@list false) (@list @t77))) % 151.96/152.63 (step @p111 :rule eq-symm :args (@t70 @t71)) % 151.96/152.63 (step @p112 :rule cong :premises (@p111) :args (@t81)) % 151.96/152.63 ; trust TRUST PREPROCESS_HO_ELIM % 151.96/152.63 (step @p113 :rule trust :premises () :args ((= @t29 @t81))) % 151.96/152.63 (step @p114 :rule trans :premises (@p113 @p112)) % 151.96/152.63 (step @p115 :rule eq_resolve :premises (@p6 @p114)) % 151.96/152.63 (step @p116 :rule cnf_or_pos :args (@t80)) % 151.96/152.63 (step @p117 :rule reordering :premises (@p116) :args ((or @t72 @t79 (not @t80)))) % 151.96/152.63 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p110) :args (@t79 (@list true false) (@list @t72 @t80))) % 151.96/152.63 (step @p119 :rule instantiate :premises (@p73) :args ((@list @t46 @t34 @t32))) % 151.96/152.63 (step @p120 :rule refl :args (@t87)) % 151.96/152.63 (step @p121 :rule bool-double-not-elim :args (@t78)) % 151.96/152.63 (step @p122 :rule refl :args (@t90)) % 151.96/152.63 (step @p123 :rule refl :args (@t94)) % 151.96/152.63 (step @p124 :rule refl :args (@t97)) % 151.96/152.63 (step @p125 :rule refl :args (@t99)) % 151.96/152.63 (step @p126 :rule refl :args (@t101)) % 151.96/152.63 (step @p127 :rule refl :args (@t103)) % 151.96/152.63 (step @p128 :rule refl :args (@t105)) % 151.96/152.63 (step @p129 :rule refl :args (@t107)) % 151.96/152.63 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120) :args ((or @t107 @t105 @t103 @t101 @t99 @t97 @t94 @t90 (not @t79) @t87))) % 151.96/152.63 (assume-push @p189 @t86) % 151.96/152.63 (assume-push @p190 @t87) % 151.96/152.63 (step @p133 :rule evaluate :args ((= false true))) % 151.96/152.63 (step @p134 :rule true_intro :premises (@p119)) % 151.96/152.63 (step @p135 :rule false_intro :premises (@p118)) % 151.96/152.64 (step @p136 :rule trans :premises (@p15 @p34)) % 151.96/152.64 (step @p137 :rule refl :args (@t37)) % 151.96/152.64 (step @p138 :rule cong :premises (@p137 @p136) :args (@t92)) % 151.96/152.64 (step @p139 :rule symm :premises (@p75)) % 151.96/152.64 (step @p140 :rule refl :args (@t32)) % 151.96/152.64 (step @p141 :rule refl :args (@t35)) % 151.96/152.64 (step @p142 :rule cong :premises (@p141 @p35) :args (@t83)) % 151.96/152.64 (step @p143 :rule cong :premises (@p142 @p140) :args (@t84)) % 151.96/152.64 (step @p144 :rule trans :premises (@p143 @p139 @p138 @p76)) % 151.96/152.64 (step @p145 :rule symm :premises (@p11)) % 151.96/152.64 (step @p146 :rule trans :premises (@p145 @p33)) % 151.96/152.64 (step @p147 :rule refl :args (@t47)) % 151.96/152.64 (step @p148 :rule cong :premises (@p147 @p146) :args (@t85)) % 151.96/152.64 (step @p149 :rule trans :premises (@p148 @p74)) % 151.96/152.64 (step @p150 :rule cong :premises (@p149 @p144) :args (@t86)) % 151.96/152.64 (step @p151 :rule trans :premises (@p150 @p135)) % 151.96/152.64 (step @p152 :rule symm :premises (@p151)) % 151.96/152.64 (step @p153 :rule trans :premises (@p152 @p134)) % 151.96/152.64 (step @p154 false :rule eq_resolve :premises (@p153 @p133)) % 151.96/152.64 (step-pop @p191 :rule scope :premises (@p154)) % 151.96/152.64 (step-pop @p192 :rule scope :premises (@p191)) % 151.96/152.64 (step @p155 :rule process_scope :premises (@p192) :args (false)) % 151.96/152.64 (assume-push @p193 @t106) % 151.96/152.64 (assume-push @p194 @t104) % 151.96/152.64 (assume-push @p195 @t102) % 151.96/152.64 (assume-push @p196 @t100) % 151.96/152.64 (assume-push @p197 @t98) % 151.96/152.64 (assume-push @p198 @t96) % 151.96/152.64 (assume-push @p199 @t93) % 151.96/152.64 (assume-push @p200 @t89) % 151.96/152.64 (assume-push @p201 @t79) % 151.96/152.64 (assume-push @p202 @t86) % 151.96/152.64 (step @p135 :rule false_intro :premises (@p118)) % 151.96/152.64 (step @p136 :rule trans :premises (@p15 @p34)) % 151.96/152.64 (step @p137 :rule refl :args (@t37)) % 151.96/152.64 (step @p138 :rule cong :premises (@p137 @p136) :args (@t92)) % 151.96/152.64 (step @p139 :rule symm :premises (@p75)) % 151.96/152.64 (step @p140 :rule refl :args (@t32)) % 151.96/152.64 (step @p141 :rule refl :args (@t35)) % 151.96/152.64 (step @p142 :rule cong :premises (@p141 @p35) :args (@t83)) % 151.96/152.64 (step @p143 :rule cong :premises (@p142 @p140) :args (@t84)) % 151.96/152.64 (step @p144 :rule trans :premises (@p143 @p139 @p138 @p76)) % 151.96/152.64 (step @p145 :rule symm :premises (@p11)) % 151.96/152.64 (step @p146 :rule trans :premises (@p145 @p33)) % 151.96/152.64 (step @p147 :rule refl :args (@t47)) % 151.96/152.64 (step @p148 :rule cong :premises (@p147 @p146) :args (@t85)) % 151.96/152.64 (step @p149 :rule trans :premises (@p148 @p74)) % 151.96/152.64 (step @p150 :rule cong :premises (@p149 @p144) :args (@t86)) % 151.96/152.64 (step @p168 :rule trans :premises (@p150 @p135)) % 151.96/152.64 (step @p169 :rule false_elim :premises (@p168)) % 151.96/152.64 (step @p170 :rule and_intro :premises (@p119 @p169)) % 151.96/152.64 (step-pop @p203 :rule scope :premises (@p170)) % 151.96/152.64 (step-pop @p204 :rule scope :premises (@p203)) % 151.96/152.64 (step-pop @p205 :rule scope :premises (@p204)) % 151.96/152.64 (step-pop @p206 :rule scope :premises (@p205)) % 151.96/152.64 (step-pop @p207 :rule scope :premises (@p206)) % 151.96/152.64 (step-pop @p208 :rule scope :premises (@p207)) % 151.96/152.64 (step-pop @p209 :rule scope :premises (@p208)) % 151.96/152.64 (step-pop @p210 :rule scope :premises (@p209)) % 151.96/152.64 (step-pop @p211 :rule scope :premises (@p210)) % 151.96/152.64 (step-pop @p212 :rule scope :premises (@p211)) % 151.96/152.64 (step @p171 :rule process_scope :premises (@p212) :args (@t108)) % 151.96/152.64 (step @p182 :rule implies_elim :premises (@p171)) % 151.96/152.64 (step @p183 :rule resolution :premises (@p182 @p155) :args (true @t108)) % 151.96/152.64 (step @p184 :rule not_and :premises (@p183)) % 151.96/152.64 (step @p185 :rule eq_resolve :premises (@p184 @p130)) % 151.96/152.64 (step @p186 false :rule chain_m_resolution :premises (@p185 @p119 @p118 @p76 @p75 @p74 @p35 @p34 @p33 @p15 @p11) :args (false (@list false true false false false false false false false false) (@list @t86 @t78 @t89 @t93 @t96 @t98 @t100 @t102 @t104 @t106))) % 151.96/152.64 ) % 151.96/152.64 % SZS output end Proof % 151.96/152.64 % cvc5 exiting %------------------------------------------------------------------------------