%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU919^5 : 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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:32 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU919^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 18:00:18 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.a $$unsorted) % 0.31/0.55 (define @t1 () (_ tptp.f tptp.a)) % 0.31/0.55 (define @t2 () (_ tptp.g @t1)) % 0.31/0.55 (define @t3 () (_ tptp.cP @t2)) % 0.31/0.55 (define @t4 () (_ tptp.g tptp.a)) % 0.31/0.55 (define @t5 () (_ tptp.f @t4)) % 0.31/0.55 (define @t6 () (_ tptp.cP @t5)) % 0.31/0.55 (define @t7 () (=> @t6 @t3)) % 0.31/0.55 (define @t8 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t9 () (_ tptp.f @t8)) % 0.31/0.55 (define @t10 () (_ tptp.g @t9)) % 0.31/0.55 (define @t11 () (@list @t8)) % 0.31/0.55 (define @t12 () (lambda @t11 @t10)) % 0.31/0.55 (define @t13 () (_ tptp.g @t8)) % 0.31/0.55 (define @t14 () (_ tptp.f @t13)) % 0.31/0.55 (define @t15 () (lambda @t11 @t14)) % 0.31/0.55 (define @t16 () (= @t15 @t12)) % 0.31/0.55 (define @t17 () (=> @t16 @t7)) % 0.31/0.55 (define @t18 () (not @t17)) % 0.31/0.55 (define @t19 () (tptp.f tptp.a)) % 0.31/0.55 (define @t20 () (tptp.g @t19)) % 0.31/0.55 (define @t21 () (tptp.cP @t20)) % 0.31/0.55 (define @t22 () (tptp.g tptp.a)) % 0.31/0.55 (define @t23 () (tptp.f @t22)) % 0.31/0.55 (define @t24 () (tptp.cP @t23)) % 0.31/0.55 (define @t25 () (@purify @t15)) % 0.31/0.55 (define @t26 () (@purify @t12)) % 0.31/0.55 (define @t27 () (tptp.f @t8)) % 0.31/0.55 (define @t28 () (tptp.g @t27)) % 0.31/0.55 (define @t29 () (tptp.g @t8)) % 0.31/0.55 (define @t30 () (tptp.f @t29)) % 0.31/0.55 (define @t31 () (= @t14 @t10)) % 0.31/0.55 (define @t32 () (forall @t11 (= @t10 @t14))) % 0.31/0.55 (define @t33 () (= @t26 @t25)) % 0.31/0.55 (define @t34 () (=> @t33 @t32)) % 0.31/0.55 (assume @p1 @t18) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule evaluate :args ((= true false))) % 0.31/0.55 (step @p4 :rule refl :args ((tptp.cP @t2))) % 0.31/0.55 (step @p5 :rule refl :args ((tptp.g @t1))) % 0.31/0.55 (step @p6 :rule refl :args (@t19)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6) :args (@t20)) % 0.31/0.55 (step @p8 :rule trans :premises (@p7 @p5)) % 0.31/0.55 (step @p9 :rule cong :premises (@p8) :args (@t21)) % 0.31/0.55 (step @p10 :rule trans :premises (@p9 @p4)) % 0.31/0.55 (step @p11 :rule refl :args (tptp.cP)) % 0.31/0.55 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ tptp.cP @t20) @t21))) % 0.31/0.55 (step @p14 :rule symm :premises (@p13)) % 0.31/0.55 (step @p15 :rule refl :args (@t3)) % 0.31/0.55 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.31/0.55 (step @p17 :rule refl :args (tptp.g)) % 0.31/0.55 (step @p18 :rule ho_cong :premises (@p17 @p6)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p8) :args ((= (_ tptp.g @t19) @t20))) % 0.31/0.55 (step @p20 :rule symm :premises (@p19)) % 0.31/0.55 (step @p21 :rule refl :args (@t2)) % 0.31/0.55 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.31/0.55 (step @p23 :rule refl :args (@t1)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23 @p6) :args ((= @t1 @t19))) % 0.31/0.55 (step @p25 :rule symm :premises (@p24)) % 0.31/0.55 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.31/0.55 (step @p27 :rule refl :args (tptp.g)) % 0.31/0.55 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.31/0.55 (step @p29 :rule trans :premises (@p28 @p22)) % 0.31/0.55 (step @p30 :rule refl :args (tptp.cP)) % 0.31/0.55 (step @p31 :rule ho_cong :premises (@p30 @p29)) % 0.31/0.55 (step @p32 :rule trans :premises (@p31 @p16)) % 0.31/0.55 (step @p33 :rule refl :args ((tptp.cP @t5))) % 0.31/0.55 (step @p34 :rule refl :args ((tptp.f @t4))) % 0.31/0.55 (step @p35 :rule refl :args (@t22)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35) :args (@t23)) % 0.31/0.55 (step @p37 :rule trans :premises (@p36 @p34)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37) :args (@t24)) % 0.31/0.55 (step @p39 :rule trans :premises (@p38 @p33)) % 0.31/0.55 (step @p40 :rule ho_cong :premises (@p11 @p37)) % 0.31/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args ((= (_ tptp.cP @t23) @t24))) % 0.31/0.55 (step @p42 :rule symm :premises (@p41)) % 0.31/0.55 (step @p43 :rule refl :args (@t6)) % 0.31/0.55 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.31/0.55 (step @p45 :rule refl :args (tptp.f)) % 0.31/0.55 (step @p46 :rule ho_cong :premises (@p45 @p35)) % 0.31/0.55 (step @p47 :rule cong :premises (@p46 @p37) :args ((= (_ tptp.f @t22) @t23))) % 0.31/0.55 (step @p48 :rule symm :premises (@p47)) % 0.31/0.55 (step @p49 :rule refl :args (@t5)) % 0.31/0.55 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.31/0.55 (step @p51 :rule refl :args (@t4)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51 @p35) :args ((= @t4 @t22))) % 0.31/0.55 (step @p53 :rule symm :premises (@p52)) % 0.31/0.55 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.31/0.55 (step @p55 :rule refl :args (tptp.f)) % 0.31/0.55 (step @p56 :rule ho_cong :premises (@p55 @p54)) % 0.31/0.55 (step @p57 :rule trans :premises (@p56 @p50)) % 0.31/0.55 (step @p58 :rule ho_cong :premises (@p30 @p57)) % 0.31/0.55 (step @p59 :rule trans :premises (@p58 @p44)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59 @p32) :args (@t7)) % 0.31/0.55 (step @p61 :rule eq-symm :args (@t25 @t26)) % 0.31/0.55 (step @p62 :rule eq-refl :args (@t12)) % 0.31/0.55 (step @p63 :rule skolem_intro :args (@t26)) % 0.31/0.55 (step @p64 :rule refl :args (@t12)) % 0.31/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t12 @t26))) % 0.31/0.55 (step @p66 :rule trans :premises (@p65 @p62)) % 0.31/0.55 (step @p67 :rule true_elim :premises (@p66)) % 0.31/0.55 (step @p68 :rule eq-refl :args (@t15)) % 0.31/0.55 (step @p69 :rule skolem_intro :args (@t25)) % 0.31/0.55 (step @p70 :rule refl :args (@t15)) % 0.31/0.55 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t15 @t25))) % 0.31/0.55 (step @p72 :rule trans :premises (@p71 @p68)) % 0.31/0.55 (step @p73 :rule true_elim :premises (@p72)) % 0.31/0.55 (step @p74 :rule cong :premises (@p73 @p67) :args (@t16)) % 0.31/0.55 (step @p75 :rule trans :premises (@p74 @p61)) % 0.31/0.55 (step @p76 :rule cong :premises (@p75 @p60) :args (@t17)) % 0.31/0.55 (step @p77 :rule cong :premises (@p76) :args (@t18)) % 0.31/0.55 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.31/0.55 (step @p79 :rule not_implies_elim2 :premises (@p78)) % 0.31/0.55 (step @p80 :rule not_implies_elim2 :premises (@p79)) % 0.31/0.55 (step @p81 :rule false_intro :premises (@p80)) % 0.31/0.55 (step @p82 :rule not_implies_elim1 :premises (@p78)) % 0.31/0.55 (step @p83 :rule refl :args ((tptp.g @t9))) % 0.31/0.55 (step @p84 :rule refl :args (@t27)) % 0.31/0.55 (step @p85 :rule cong :premises (@p84) :args (@t28)) % 0.31/0.55 (step @p86 :rule trans :premises (@p85 @p83)) % 0.31/0.55 (step @p87 :rule ho_cong :premises (@p17 @p84)) % 0.31/0.55 (step @p88 :rule cong :premises (@p87 @p86) :args ((= (_ tptp.g @t27) @t28))) % 0.31/0.55 (step @p89 :rule symm :premises (@p88)) % 0.31/0.55 (step @p90 :rule refl :args (@t10)) % 0.31/0.55 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.31/0.55 (step @p92 :rule refl :args (@t9)) % 0.31/0.55 (step @p93 :rule cong :premises (@p92 @p84) :args ((= @t9 @t27))) % 0.31/0.55 (step @p94 :rule symm :premises (@p93)) % 0.31/0.55 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.31/0.55 (step @p96 :rule ho_cong :premises (@p17 @p95)) % 0.31/0.55 (step @p97 :rule trans :premises (@p96 @p91)) % 0.31/0.55 (step @p98 :rule refl :args ((tptp.f @t13))) % 0.31/0.55 (step @p99 :rule refl :args (@t29)) % 0.31/0.55 (step @p100 :rule cong :premises (@p99) :args (@t30)) % 0.31/0.55 (step @p101 :rule trans :premises (@p100 @p98)) % 0.31/0.55 (step @p102 :rule ho_cong :premises (@p45 @p99)) % 0.31/0.55 (step @p103 :rule cong :premises (@p102 @p101) :args ((= (_ tptp.f @t29) @t30))) % 0.31/0.55 (step @p104 :rule symm :premises (@p103)) % 0.31/0.55 (step @p105 :rule refl :args (@t14)) % 0.31/0.55 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.31/0.55 (step @p107 :rule refl :args (@t13)) % 0.31/0.55 (step @p108 :rule cong :premises (@p107 @p99) :args ((= @t13 @t29))) % 0.31/0.55 (step @p109 :rule symm :premises (@p108)) % 0.31/0.55 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.31/0.55 (step @p111 :rule ho_cong :premises (@p45 @p110)) % 0.31/0.55 (step @p112 :rule trans :premises (@p111 @p106)) % 0.31/0.55 (step @p113 :rule cong :premises (@p112 @p97) :args (@t31)) % 0.31/0.55 (step @p114 :rule cong :premises (@p113) :args ((forall @t11 @t31))) % 0.31/0.55 (step @p115 :rule eq-symm :args (@t10 @t14)) % 0.31/0.55 (step @p116 :rule cong :premises (@p115) :args (@t32)) % 0.31/0.55 (step @p117 :rule trans :premises (@p116 @p114)) % 0.31/0.55 (step @p118 :rule refl :args (@t33)) % 0.31/0.55 (step @p119 :rule cong :premises (@p118 @p117) :args (@t34)) % 0.31/0.55 ; WARNING: add trust step for TRUST % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p120 :rule trust :premises () :args (@t34)) % 0.31/0.55 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.31/0.55 (step @p122 :rule implies_elim :premises (@p121)) % 0.31/0.55 (step @p123 :rule chain_m_resolution :premises (@p122 @p82) :args ((forall @t11 (= @t30 @t28)) (@list false) (@list @t33))) % 0.31/0.55 (step @p124 :rule instantiate :premises (@p123) :args ((@list tptp.a))) % 0.31/0.55 (step @p125 :rule cong :premises (@p124) :args (@t24)) % 0.31/0.55 (step @p126 :rule not_implies_elim1 :premises (@p79)) % 0.31/0.55 (step @p127 :rule true_intro :premises (@p126)) % 0.31/0.55 (step @p128 :rule symm :premises (@p127)) % 0.31/0.55 (step @p129 :rule trans :premises (@p128 @p125 @p81)) % 0.31/0.55 (step @p130 false :rule eq_resolve :premises (@p129 @p3)) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------