%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU922^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 0.28s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU922^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 : Tue Jun 2 18:00:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.a $$unsorted) % 0.28/0.55 (define @t1 () (_ tptp.f tptp.a)) % 0.28/0.55 (define @t2 () (_ tptp.f @t1)) % 0.28/0.55 (define @t3 () (_ tptp.g @t2)) % 0.28/0.55 (define @t4 () (_ tptp.cP @t3)) % 0.28/0.55 (define @t5 () (_ tptp.g tptp.a)) % 0.28/0.55 (define @t6 () (_ tptp.f @t5)) % 0.28/0.55 (define @t7 () (_ tptp.f @t6)) % 0.28/0.55 (define @t8 () (_ tptp.cP @t7)) % 0.28/0.55 (define @t9 () (=> @t8 @t4)) % 0.28/0.55 (define @t10 () (@var "Xx" $$unsorted)) % 0.28/0.55 (define @t11 () (_ tptp.f @t10)) % 0.28/0.55 (define @t12 () (_ tptp.g @t11)) % 0.28/0.55 (define @t13 () (@list @t10)) % 0.28/0.55 (define @t14 () (lambda @t13 @t12)) % 0.28/0.55 (define @t15 () (_ tptp.g @t10)) % 0.28/0.55 (define @t16 () (_ tptp.f @t15)) % 0.28/0.55 (define @t17 () (lambda @t13 @t16)) % 0.28/0.55 (define @t18 () (= @t17 @t14)) % 0.28/0.55 (define @t19 () (=> @t18 @t9)) % 0.28/0.55 (define @t20 () (not @t19)) % 0.28/0.55 (define @t21 () (tptp.f tptp.a)) % 0.28/0.55 (define @t22 () (tptp.f @t21)) % 0.28/0.55 (define @t23 () (tptp.g @t22)) % 0.28/0.55 (define @t24 () (tptp.cP @t23)) % 0.28/0.55 (define @t25 () (tptp.g tptp.a)) % 0.28/0.55 (define @t26 () (tptp.f @t25)) % 0.28/0.55 (define @t27 () (tptp.f @t26)) % 0.28/0.55 (define @t28 () (tptp.cP @t27)) % 0.28/0.55 (define @t29 () (@purify @t17)) % 0.28/0.55 (define @t30 () (@purify @t14)) % 0.28/0.55 (define @t31 () (tptp.f @t10)) % 0.28/0.55 (define @t32 () (tptp.g @t31)) % 0.28/0.55 (define @t33 () (tptp.g @t10)) % 0.28/0.55 (define @t34 () (tptp.f @t33)) % 0.28/0.55 (define @t35 () (= @t16 @t12)) % 0.28/0.55 (define @t36 () (forall @t13 (= @t12 @t16))) % 0.28/0.55 (define @t37 () (= @t30 @t29)) % 0.28/0.55 (define @t38 () (=> @t37 @t36)) % 0.28/0.55 (assume @p1 @t20) % 0.28/0.55 (assume @p2 true) % 0.28/0.55 (step @p3 :rule evaluate :args ((= true false))) % 0.28/0.55 (step @p4 :rule refl :args ((tptp.cP @t3))) % 0.28/0.55 (step @p5 :rule refl :args ((tptp.g @t2))) % 0.28/0.55 (step @p6 :rule refl :args ((tptp.f @t1))) % 0.28/0.55 (step @p7 :rule refl :args (@t21)) % 0.28/0.55 (step @p8 :rule cong :premises (@p7) :args (@t22)) % 0.28/0.55 (step @p9 :rule trans :premises (@p8 @p6)) % 0.28/0.55 (step @p10 :rule cong :premises (@p9) :args (@t23)) % 0.28/0.55 (step @p11 :rule trans :premises (@p10 @p5)) % 0.37/0.55 (step @p12 :rule cong :premises (@p11) :args (@t24)) % 0.37/0.55 (step @p13 :rule trans :premises (@p12 @p4)) % 0.37/0.55 (step @p14 :rule refl :args (tptp.cP)) % 0.37/0.55 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.37/0.55 (step @p16 :rule cong :premises (@p15 @p13) :args ((= (_ tptp.cP @t23) @t24))) % 0.37/0.55 (step @p17 :rule symm :premises (@p16)) % 0.37/0.55 (step @p18 :rule refl :args (@t4)) % 0.37/0.55 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.37/0.55 (step @p20 :rule refl :args (tptp.g)) % 0.37/0.55 (step @p21 :rule ho_cong :premises (@p20 @p9)) % 0.37/0.55 (step @p22 :rule cong :premises (@p21 @p11) :args ((= (_ tptp.g @t22) @t23))) % 0.37/0.55 (step @p23 :rule symm :premises (@p22)) % 0.37/0.55 (step @p24 :rule refl :args (@t3)) % 0.37/0.55 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.37/0.55 (step @p26 :rule refl :args (tptp.f)) % 0.37/0.55 (step @p27 :rule ho_cong :premises (@p26 @p7)) % 0.37/0.55 (step @p28 :rule cong :premises (@p27 @p9) :args ((= (_ tptp.f @t21) @t22))) % 0.37/0.55 (step @p29 :rule symm :premises (@p28)) % 0.37/0.55 (step @p30 :rule refl :args (@t2)) % 0.37/0.55 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.37/0.55 (step @p32 :rule refl :args (@t1)) % 0.37/0.55 (step @p33 :rule cong :premises (@p32 @p7) :args ((= @t1 @t21))) % 0.37/0.55 (step @p34 :rule symm :premises (@p33)) % 0.37/0.55 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.37/0.55 (step @p36 :rule refl :args (tptp.f)) % 0.37/0.55 (step @p37 :rule ho_cong :premises (@p36 @p35)) % 0.37/0.55 (step @p38 :rule trans :premises (@p37 @p31)) % 0.37/0.55 (step @p39 :rule refl :args (tptp.g)) % 0.37/0.55 (step @p40 :rule ho_cong :premises (@p39 @p38)) % 0.37/0.55 (step @p41 :rule trans :premises (@p40 @p25)) % 0.37/0.55 (step @p42 :rule refl :args (tptp.cP)) % 0.37/0.55 (step @p43 :rule ho_cong :premises (@p42 @p41)) % 0.37/0.55 (step @p44 :rule trans :premises (@p43 @p19)) % 0.37/0.55 (step @p45 :rule refl :args ((tptp.cP @t7))) % 0.37/0.55 (step @p46 :rule refl :args ((tptp.f @t6))) % 0.37/0.55 (step @p47 :rule refl :args ((tptp.f @t5))) % 0.37/0.55 (step @p48 :rule refl :args (@t25)) % 0.37/0.55 (step @p49 :rule cong :premises (@p48) :args (@t26)) % 0.37/0.55 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.55 (step @p51 :rule cong :premises (@p50) :args (@t27)) % 0.37/0.55 (step @p52 :rule trans :premises (@p51 @p46)) % 0.37/0.55 (step @p53 :rule cong :premises (@p52) :args (@t28)) % 0.37/0.55 (step @p54 :rule trans :premises (@p53 @p45)) % 0.37/0.55 (step @p55 :rule ho_cong :premises (@p14 @p52)) % 0.37/0.55 (step @p56 :rule cong :premises (@p55 @p54) :args ((= (_ tptp.cP @t27) @t28))) % 0.37/0.55 (step @p57 :rule symm :premises (@p56)) % 0.37/0.55 (step @p58 :rule refl :args (@t8)) % 0.37/0.55 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.37/0.55 (step @p60 :rule ho_cong :premises (@p26 @p50)) % 0.37/0.55 (step @p61 :rule cong :premises (@p60 @p52) :args ((= (_ tptp.f @t26) @t27))) % 0.37/0.55 (step @p62 :rule symm :premises (@p61)) % 0.37/0.55 (step @p63 :rule refl :args (@t7)) % 0.37/0.55 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.55 (step @p65 :rule ho_cong :premises (@p26 @p48)) % 0.37/0.55 (step @p66 :rule cong :premises (@p65 @p50) :args ((= (_ tptp.f @t25) @t26))) % 0.37/0.55 (step @p67 :rule symm :premises (@p66)) % 0.37/0.55 (step @p68 :rule refl :args (@t6)) % 0.37/0.55 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.37/0.55 (step @p70 :rule refl :args (@t5)) % 0.37/0.55 (step @p71 :rule cong :premises (@p70 @p48) :args ((= @t5 @t25))) % 0.37/0.55 (step @p72 :rule symm :premises (@p71)) % 0.37/0.55 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.37/0.55 (step @p74 :rule ho_cong :premises (@p36 @p73)) % 0.37/0.55 (step @p75 :rule trans :premises (@p74 @p69)) % 0.37/0.55 (step @p76 :rule ho_cong :premises (@p36 @p75)) % 0.37/0.55 (step @p77 :rule trans :premises (@p76 @p64)) % 0.37/0.55 (step @p78 :rule ho_cong :premises (@p42 @p77)) % 0.37/0.55 (step @p79 :rule trans :premises (@p78 @p59)) % 0.37/0.55 (step @p80 :rule cong :premises (@p79 @p44) :args (@t9)) % 0.37/0.55 (step @p81 :rule eq-symm :args (@t29 @t30)) % 0.37/0.55 (step @p82 :rule eq-refl :args (@t14)) % 0.37/0.55 (step @p83 :rule skolem_intro :args (@t30)) % 0.37/0.55 (step @p84 :rule refl :args (@t14)) % 0.37/0.55 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t14 @t30))) % 0.37/0.55 (step @p86 :rule trans :premises (@p85 @p82)) % 0.37/0.55 (step @p87 :rule true_elim :premises (@p86)) % 0.37/0.55 (step @p88 :rule eq-refl :args (@t17)) % 0.37/0.55 (step @p89 :rule skolem_intro :args (@t29)) % 0.37/0.55 (step @p90 :rule refl :args (@t17)) % 0.37/0.55 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t17 @t29))) % 0.37/0.55 (step @p92 :rule trans :premises (@p91 @p88)) % 0.37/0.55 (step @p93 :rule true_elim :premises (@p92)) % 0.37/0.55 (step @p94 :rule cong :premises (@p93 @p87) :args (@t18)) % 0.37/0.55 (step @p95 :rule trans :premises (@p94 @p81)) % 0.37/0.55 (step @p96 :rule cong :premises (@p95 @p80) :args (@t19)) % 0.37/0.55 (step @p97 :rule cong :premises (@p96) :args (@t20)) % 0.37/0.55 (step @p98 :rule eq_resolve :premises (@p1 @p97)) % 0.37/0.55 (step @p99 :rule not_implies_elim2 :premises (@p98)) % 0.37/0.55 (step @p100 :rule not_implies_elim2 :premises (@p99)) % 0.37/0.55 (step @p101 :rule false_intro :premises (@p100)) % 0.37/0.55 (step @p102 :rule not_implies_elim1 :premises (@p98)) % 0.37/0.55 (step @p103 :rule refl :args ((tptp.g @t11))) % 0.37/0.55 (step @p104 :rule refl :args (@t31)) % 0.37/0.55 (step @p105 :rule cong :premises (@p104) :args (@t32)) % 0.37/0.55 (step @p106 :rule trans :premises (@p105 @p103)) % 0.37/0.55 (step @p107 :rule ho_cong :premises (@p20 @p104)) % 0.37/0.55 (step @p108 :rule cong :premises (@p107 @p106) :args ((= (_ tptp.g @t31) @t32))) % 0.37/0.55 (step @p109 :rule symm :premises (@p108)) % 0.37/0.55 (step @p110 :rule refl :args (@t12)) % 0.37/0.55 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.37/0.55 (step @p112 :rule refl :args (@t11)) % 0.37/0.55 (step @p113 :rule cong :premises (@p112 @p104) :args ((= @t11 @t31))) % 0.37/0.55 (step @p114 :rule symm :premises (@p113)) % 0.37/0.55 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.37/0.55 (step @p116 :rule ho_cong :premises (@p20 @p115)) % 0.37/0.55 (step @p117 :rule trans :premises (@p116 @p111)) % 0.37/0.55 (step @p118 :rule refl :args ((tptp.f @t15))) % 0.37/0.55 (step @p119 :rule refl :args (@t33)) % 0.37/0.55 (step @p120 :rule cong :premises (@p119) :args (@t34)) % 0.37/0.55 (step @p121 :rule trans :premises (@p120 @p118)) % 0.37/0.55 (step @p122 :rule ho_cong :premises (@p26 @p119)) % 0.37/0.55 (step @p123 :rule cong :premises (@p122 @p121) :args ((= (_ tptp.f @t33) @t34))) % 0.37/0.55 (step @p124 :rule symm :premises (@p123)) % 0.37/0.55 (step @p125 :rule refl :args (@t16)) % 0.37/0.55 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.37/0.55 (step @p127 :rule refl :args (@t15)) % 0.37/0.55 (step @p128 :rule cong :premises (@p127 @p119) :args ((= @t15 @t33))) % 0.37/0.55 (step @p129 :rule symm :premises (@p128)) % 0.37/0.55 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 0.37/0.55 (step @p131 :rule ho_cong :premises (@p26 @p130)) % 0.37/0.55 (step @p132 :rule trans :premises (@p131 @p126)) % 0.37/0.55 (step @p133 :rule cong :premises (@p132 @p117) :args (@t35)) % 0.37/0.55 (step @p134 :rule cong :premises (@p133) :args ((forall @t13 @t35))) % 0.37/0.55 (step @p135 :rule eq-symm :args (@t12 @t16)) % 0.37/0.55 (step @p136 :rule cong :premises (@p135) :args (@t36)) % 0.37/0.56 (step @p137 :rule trans :premises (@p136 @p134)) % 0.37/0.56 (step @p138 :rule refl :args (@t37)) % 0.37/0.56 (step @p139 :rule cong :premises (@p138 @p137) :args (@t38)) % 0.37/0.56 ; WARNING: add trust step for TRUST % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p140 :rule trust :premises () :args (@t38)) % 0.37/0.56 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.37/0.56 (step @p142 :rule implies_elim :premises (@p141)) % 0.37/0.56 (step @p143 :rule chain_m_resolution :premises (@p142 @p102) :args ((forall @t13 (= @t34 @t32)) (@list false) (@list @t37))) % 0.37/0.56 (step @p144 :rule instantiate :premises (@p143) :args ((@list @t21))) % 0.37/0.56 (step @p145 :rule instantiate :premises (@p143) :args ((@list tptp.a))) % 0.37/0.56 (step @p146 :rule cong :premises (@p145) :args (@t27)) % 0.37/0.56 (step @p147 :rule trans :premises (@p146 @p144)) % 0.37/0.56 (step @p148 :rule cong :premises (@p147) :args (@t28)) % 0.37/0.56 (step @p149 :rule not_implies_elim1 :premises (@p99)) % 0.37/0.56 (step @p150 :rule true_intro :premises (@p149)) % 0.37/0.56 (step @p151 :rule symm :premises (@p150)) % 0.37/0.56 (step @p152 :rule trans :premises (@p151 @p148 @p101)) % 0.37/0.56 (step @p153 false :rule eq_resolve :premises (@p152 @p3)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------