%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG270^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:05:43 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG270^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Wed Jun 3 01:56:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort tptp.a 0) % 0.39/0.58 (declare-const tptp.c_star (-> tptp.a tptp.a tptp.a)) % 0.39/0.58 (define @t1 () (@var "Z" tptp.a)) % 0.39/0.58 (define @t2 () (@var "Y" tptp.a)) % 0.39/0.58 (define @t3 () (_ (_ tptp.c_star @t2) @t1)) % 0.39/0.58 (define @t4 () (@var "X" tptp.a)) % 0.39/0.58 (define @t5 () (_ tptp.c_star @t4)) % 0.39/0.58 (define @t6 () (_ @t5 @t3)) % 0.39/0.58 (define @t7 () (@var "W" tptp.a)) % 0.39/0.58 (define @t8 () (_ tptp.c_star @t7)) % 0.39/0.58 (define @t9 () (_ @t8 @t6)) % 0.39/0.58 (define @t10 () (_ @t8 @t4)) % 0.39/0.58 (define @t11 () (_ (_ tptp.c_star @t10) @t2)) % 0.39/0.58 (define @t12 () (_ (_ tptp.c_star @t11) @t1)) % 0.39/0.58 (define @t13 () (= @t12 @t9)) % 0.39/0.58 (define @t14 () (@list @t7 @t4 @t2 @t1)) % 0.39/0.58 (define @t15 () (forall @t14 @t13)) % 0.39/0.58 (define @t16 () (@var "Xz" tptp.a)) % 0.39/0.58 (define @t17 () (@var "Xy" tptp.a)) % 0.39/0.58 (define @t18 () (_ (_ tptp.c_star @t17) @t16)) % 0.39/0.58 (define @t19 () (@var "Xx" tptp.a)) % 0.39/0.58 (define @t20 () (_ tptp.c_star @t19)) % 0.39/0.58 (define @t21 () (_ @t20 @t18)) % 0.39/0.58 (define @t22 () (_ @t20 @t17)) % 0.39/0.58 (define @t23 () (_ (_ tptp.c_star @t22) @t16)) % 0.39/0.58 (define @t24 () (= @t23 @t21)) % 0.39/0.58 (define @t25 () (forall (@list @t19 @t17 @t16) @t24)) % 0.39/0.58 (define @t26 () (=> @t25 @t15)) % 0.39/0.58 (define @t27 () (not @t26)) % 0.39/0.58 (define @t28 () (tptp.c_star @t2 @t1)) % 0.39/0.58 (define @t29 () (tptp.c_star @t4 @t28)) % 0.39/0.58 (define @t30 () (tptp.c_star @t7 @t29)) % 0.39/0.58 (define @t31 () (tptp.c_star @t7 @t4)) % 0.39/0.58 (define @t32 () (tptp.c_star @t31 @t2)) % 0.39/0.58 (define @t33 () (tptp.c_star @t32 @t1)) % 0.39/0.58 (define @t34 () (tptp.c_star @t17 @t16)) % 0.39/0.58 (define @t35 () (tptp.c_star @t19 @t34)) % 0.39/0.58 (define @t36 () (tptp.c_star @t19 @t17)) % 0.39/0.58 (define @t37 () (tptp.c_star @t36 @t16)) % 0.39/0.58 (define @t38 () (forall @t14 (= @t33 @t30))) % 0.39/0.58 (define @t39 () (@quantifiers_skolemize @t38 3)) % 0.39/0.58 (define @t40 () (@quantifiers_skolemize @t38 2)) % 0.39/0.58 (define @t41 () (@quantifiers_skolemize @t38 1)) % 0.39/0.58 (define @t42 () (@quantifiers_skolemize @t38 0)) % 0.39/0.58 (assume @p1 @t27) % 0.39/0.58 (assume @p2 true) % 0.39/0.58 (step @p3 :rule evaluate :args ((= false true))) % 0.39/0.58 (step @p4 :rule refl :args ((tptp.c_star @t7 @t6))) % 0.39/0.58 (step @p5 :rule refl :args ((tptp.c_star @t4 @t3))) % 0.39/0.58 (step @p6 :rule refl :args (@t28)) % 0.39/0.58 (step @p7 :rule refl :args (@t4)) % 0.39/0.58 (step @p8 :rule cong :premises (@p7 @p6) :args (@t29)) % 0.39/0.58 (step @p9 :rule trans :premises (@p8 @p5)) % 0.39/0.58 (step @p10 :rule refl :args (@t7)) % 0.39/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args (@t30)) % 0.39/0.58 (step @p12 :rule trans :premises (@p11 @p4)) % 0.39/0.58 (step @p13 :rule refl :args (@t8)) % 0.39/0.58 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.39/0.58 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t8 @t29) @t30))) % 0.39/0.58 (step @p16 :rule symm :premises (@p15)) % 0.39/0.58 (step @p17 :rule refl :args (@t9)) % 0.39/0.58 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.39/0.58 (step @p19 :rule refl :args (@t5)) % 0.39/0.58 (step @p20 :rule ho_cong :premises (@p19 @p6)) % 0.39/0.58 (step @p21 :rule cong :premises (@p20 @p9) :args ((= (_ @t5 @t28) @t29))) % 0.39/0.58 (step @p22 :rule symm :premises (@p21)) % 0.39/0.58 (step @p23 :rule refl :args (@t6)) % 0.39/0.58 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.39/0.58 (step @p25 :rule refl :args (@t3)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25 @p6) :args ((= @t3 @t28))) % 0.39/0.58 (step @p27 :rule symm :premises (@p26)) % 0.39/0.58 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.39/0.58 (step @p29 :rule ho_cong :premises (@p19 @p28)) % 0.39/0.58 (step @p30 :rule trans :premises (@p29 @p24)) % 0.39/0.58 (step @p31 :rule ho_cong :premises (@p13 @p30)) % 0.39/0.58 (step @p32 :rule trans :premises (@p31 @p18)) % 0.39/0.58 (step @p33 :rule refl :args ((tptp.c_star @t11 @t1))) % 0.39/0.58 (step @p34 :rule refl :args (@t1)) % 0.39/0.58 (step @p35 :rule refl :args ((tptp.c_star @t10 @t2))) % 0.39/0.58 (step @p36 :rule refl :args (@t2)) % 0.39/0.58 (step @p37 :rule refl :args (@t31)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37 @p36) :args (@t32)) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p35)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39 @p34) :args (@t33)) % 0.39/0.58 (step @p41 :rule trans :premises (@p40 @p33)) % 0.39/0.58 (step @p42 :rule refl :args (tptp.c_star)) % 0.39/0.58 (step @p43 :rule ho_cong :premises (@p42 @p39)) % 0.39/0.58 (step @p44 :rule ho_cong :premises (@p43 @p34)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44 @p41) :args ((= (_ (_ tptp.c_star @t32) @t1) @t33))) % 0.39/0.58 (step @p46 :rule symm :premises (@p45)) % 0.39/0.58 (step @p47 :rule refl :args (@t12)) % 0.39/0.58 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.58 (step @p49 :rule ho_cong :premises (@p42 @p37)) % 0.39/0.58 (step @p50 :rule ho_cong :premises (@p49 @p36)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50 @p39) :args ((= (_ (_ tptp.c_star @t31) @t2) @t32))) % 0.39/0.58 (step @p52 :rule symm :premises (@p51)) % 0.39/0.58 (step @p53 :rule refl :args (@t11)) % 0.39/0.58 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.39/0.58 (step @p55 :rule refl :args (@t10)) % 0.39/0.58 (step @p56 :rule cong :premises (@p55 @p37) :args ((= @t10 @t31))) % 0.39/0.58 (step @p57 :rule symm :premises (@p56)) % 0.39/0.58 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.39/0.58 (step @p59 :rule ho_cong :premises (@p42 @p58)) % 0.39/0.58 (step @p60 :rule ho_cong :premises (@p59 @p36)) % 0.39/0.58 (step @p61 :rule trans :premises (@p60 @p54)) % 0.39/0.58 (step @p62 :rule ho_cong :premises (@p42 @p61)) % 0.39/0.58 (step @p63 :rule ho_cong :premises (@p62 @p34)) % 0.39/0.58 (step @p64 :rule trans :premises (@p63 @p48)) % 0.39/0.58 (step @p65 :rule cong :premises (@p64 @p32) :args (@t13)) % 0.39/0.58 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.39/0.58 (step @p67 :rule refl :args ((tptp.c_star @t19 @t18))) % 0.39/0.58 (step @p68 :rule refl :args (@t34)) % 0.39/0.58 (step @p69 :rule refl :args (@t19)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69 @p68) :args (@t35)) % 0.39/0.58 (step @p71 :rule trans :premises (@p70 @p67)) % 0.39/0.58 (step @p72 :rule refl :args (@t20)) % 0.39/0.58 (step @p73 :rule ho_cong :premises (@p72 @p68)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ @t20 @t34) @t35))) % 0.39/0.58 (step @p75 :rule symm :premises (@p74)) % 0.39/0.58 (step @p76 :rule refl :args (@t21)) % 0.39/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.58 (step @p78 :rule refl :args (@t18)) % 0.39/0.58 (step @p79 :rule cong :premises (@p78 @p68) :args ((= @t18 @t34))) % 0.39/0.58 (step @p80 :rule symm :premises (@p79)) % 0.39/0.58 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.39/0.58 (step @p82 :rule ho_cong :premises (@p72 @p81)) % 0.39/0.58 (step @p83 :rule trans :premises (@p82 @p77)) % 0.39/0.58 (step @p84 :rule refl :args ((tptp.c_star @t22 @t16))) % 0.39/0.58 (step @p85 :rule refl :args (@t16)) % 0.39/0.58 (step @p86 :rule refl :args (@t36)) % 0.39/0.58 (step @p87 :rule cong :premises (@p86 @p85) :args (@t37)) % 0.39/0.58 (step @p88 :rule trans :premises (@p87 @p84)) % 0.39/0.58 (step @p89 :rule ho_cong :premises (@p42 @p86)) % 0.39/0.58 (step @p90 :rule ho_cong :premises (@p89 @p85)) % 0.39/0.58 (step @p91 :rule cong :premises (@p90 @p88) :args ((= (_ (_ tptp.c_star @t36) @t16) @t37))) % 0.39/0.58 (step @p92 :rule symm :premises (@p91)) % 0.39/0.58 (step @p93 :rule refl :args (@t23)) % 0.39/0.58 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.39/0.58 (step @p95 :rule refl :args (@t22)) % 0.39/0.58 (step @p96 :rule cong :premises (@p95 @p86) :args ((= @t22 @t36))) % 0.39/0.58 (step @p97 :rule symm :premises (@p96)) % 0.39/0.58 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 0.39/0.58 (step @p99 :rule ho_cong :premises (@p42 @p98)) % 0.39/0.58 (step @p100 :rule ho_cong :premises (@p99 @p85)) % 0.39/0.58 (step @p101 :rule trans :premises (@p100 @p94)) % 0.39/0.58 (step @p102 :rule cong :premises (@p101 @p83) :args (@t24)) % 0.39/0.58 (step @p103 :rule cong :premises (@p102) :args (@t25)) % 0.39/0.58 (step @p104 :rule cong :premises (@p103 @p66) :args (@t26)) % 0.39/0.58 (step @p105 :rule cong :premises (@p104) :args (@t27)) % 0.39/0.58 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 0.39/0.58 (step @p107 :rule not_implies_elim1 :premises (@p106)) % 0.39/0.58 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t42 @t41 (tptp.c_star @t40 @t39)))) % 0.39/0.58 (step @p109 :rule instantiate :premises (@p107) :args ((@list (tptp.c_star @t42 @t41) @t40 @t39))) % 0.39/0.58 (step @p110 :rule trans :premises (@p109 @p108)) % 0.39/0.58 (step @p111 :rule true_intro :premises (@p110)) % 0.39/0.58 (step @p112 :rule not_implies_elim2 :premises (@p106)) % 0.39/0.58 (step @p113 :rule skolemize :premises (@p112)) % 0.39/0.58 (step @p114 :rule false_intro :premises (@p113)) % 0.39/0.58 (step @p115 :rule symm :premises (@p114)) % 0.39/0.58 (step @p116 :rule trans :premises (@p115 @p111)) % 0.39/0.58 (step @p117 false :rule eq_resolve :premises (@p116 @p3)) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------