%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU883^5 : 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 : n017.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 08:53:28 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU883^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.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 17:55:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.b 0) % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (declare-const tptp.g (-> tptp.b Bool)) % 0.30/0.55 (declare-const tptp.f (-> tptp.b tptp.a)) % 0.30/0.55 (define @t1 () (@var "Xt" tptp.b)) % 0.30/0.55 (define @t2 () (_ tptp.f @t1)) % 0.30/0.55 (define @t3 () (@var "Xz" tptp.a)) % 0.30/0.55 (define @t4 () (= @t3 @t2)) % 0.30/0.55 (define @t5 () (_ tptp.g @t1)) % 0.30/0.55 (define @t6 () (and @t5 @t4)) % 0.30/0.55 (define @t7 () (@list @t1)) % 0.30/0.55 (define @t8 () (exists @t7 @t6)) % 0.30/0.55 (define @t9 () (@list @t3)) % 0.30/0.55 (define @t10 () (lambda @t9 @t8)) % 0.30/0.55 (define @t11 () (@var "Xx" tptp.b)) % 0.30/0.55 (define @t12 () (_ tptp.f @t11)) % 0.30/0.55 (define @t13 () (= @t3 @t12)) % 0.30/0.55 (define @t14 () (_ tptp.g @t11)) % 0.30/0.55 (define @t15 () (and @t14 @t13)) % 0.30/0.55 (define @t16 () (@list @t11)) % 0.30/0.55 (define @t17 () (exists @t16 @t15)) % 0.30/0.55 (define @t18 () (lambda @t9 @t17)) % 0.30/0.55 (define @t19 () (= @t18 @t10)) % 0.30/0.55 (define @t20 () (not @t19)) % 0.30/0.55 (define @t21 () (tptp.f @t11)) % 0.30/0.55 (define @t22 () (tptp.g @t11)) % 0.30/0.55 (define @t23 () (not @t22)) % 0.30/0.55 (define @t24 () (lambda @t9 (not (forall @t16 (or @t23 (not (= @t3 @t21))))))) % 0.30/0.55 (define @t25 () (@purify @t24)) % 0.30/0.55 (define @t26 () (tptp.f @t1)) % 0.30/0.55 (define @t27 () (tptp.g @t1)) % 0.30/0.55 (define @t28 () (not @t27)) % 0.30/0.55 (define @t29 () (lambda @t9 (not (forall @t7 (or @t28 (not (= @t3 @t26))))))) % 0.30/0.55 (define @t30 () (@purify @t29)) % 0.30/0.55 (define @t31 () (= @t24 @t29)) % 0.30/0.55 (define @t32 () (not @t4)) % 0.30/0.55 (define @t33 () (not @t5)) % 0.30/0.55 (define @t34 () (or @t33 @t32)) % 0.30/0.55 (define @t35 () (forall @t7 (not @t6))) % 0.30/0.55 (define @t36 () (not @t35)) % 0.30/0.55 (define @t37 () (not @t13)) % 0.30/0.55 (define @t38 () (not @t14)) % 0.30/0.55 (define @t39 () (or @t38 @t37)) % 0.30/0.55 (define @t40 () (forall @t16 (not @t15))) % 0.30/0.55 (define @t41 () (not @t40)) % 0.30/0.55 (define @t42 () (@const 0 tptp.a)) % 0.30/0.55 (define @t43 () (forall @t7 (or @t28 (not (= @t26 @t42))))) % 0.30/0.55 (define @t44 () (not @t43)) % 0.30/0.55 (define @t45 () (forall @t16 (or @t23 (not (= @t21 @t42))))) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (not (= @t42 @t21))) % 0.30/0.55 (define @t48 () (or @t23 @t47)) % 0.30/0.55 (define @t49 () (forall @t16 @t48)) % 0.30/0.55 (define @t50 () (not @t49)) % 0.30/0.55 (define @t51 () (_ @t24 @t42)) % 0.30/0.55 (define @t52 () (_ @t25 @t42)) % 0.30/0.55 (define @t53 () (not (= @t42 @t26))) % 0.30/0.55 (define @t54 () (or @t28 @t53)) % 0.30/0.55 (define @t55 () (forall @t7 @t54)) % 0.30/0.55 (define @t56 () (not @t55)) % 0.30/0.55 (define @t57 () (_ @t29 @t42)) % 0.30/0.55 (define @t58 () (_ @t30 @t42)) % 0.30/0.55 (define @t59 () (= @t58 @t52)) % 0.30/0.55 (define @t60 () (not @t59)) % 0.30/0.55 (define @t61 () (= @t30 @t25)) % 0.30/0.55 (define @t62 () (or @t61 @t60)) % 0.30/0.55 (define @t63 () (= @t46 @t44)) % 0.30/0.55 (define @t64 () (@list true)) % 0.30/0.55 (assume @p1 @t20) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule eq-symm :args (@t25 @t30)) % 0.30/0.55 (step @p4 :rule eq-refl :args (@t29)) % 0.30/0.55 (step @p5 :rule skolem_intro :args (@t30)) % 0.30/0.55 (step @p6 :rule refl :args (@t29)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t29 @t30))) % 0.30/0.55 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.55 (step @p9 :rule true_elim :premises (@p8)) % 0.30/0.55 (step @p10 :rule eq-refl :args (@t24)) % 0.30/0.55 (step @p11 :rule skolem_intro :args (@t25)) % 0.30/0.55 (step @p12 :rule refl :args (@t24)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t24 @t25))) % 0.30/0.55 (step @p14 :rule trans :premises (@p13 @p10)) % 0.30/0.55 (step @p15 :rule true_elim :premises (@p14)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p9) :args (@t31)) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p3)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args ((not @t31))) % 0.30/0.55 (step @p19 :rule refl :args (@t26)) % 0.30/0.55 (step @p20 :rule refl :args (@t2)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t26))) % 0.30/0.55 (step @p22 :rule symm :premises (@p21)) % 0.30/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.30/0.55 (step @p24 :rule refl :args (@t3)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args (@t4)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25) :args (@t32)) % 0.30/0.55 (step @p27 :rule refl :args (@t27)) % 0.30/0.55 (step @p28 :rule refl :args (@t5)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t5 @t27))) % 0.30/0.55 (step @p30 :rule symm :premises (@p29)) % 0.30/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.30/0.55 (step @p32 :rule cong :premises (@p31) :args (@t33)) % 0.30/0.55 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t34)) % 0.30/0.55 (step @p34 :rule cong :premises (@p33) :args ((forall @t7 @t34))) % 0.30/0.55 (step @p35 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.30/0.55 (step @p36 :rule cong :premises (@p35) :args (@t35)) % 0.30/0.55 (step @p37 :rule trans :premises (@p36 @p34)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37) :args (@t36)) % 0.30/0.55 (step @p39 :rule exists-elim :args ((= @t8 @t36))) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 0.30/0.55 (step @p42 :rule refl :args (@t21)) % 0.30/0.55 (step @p43 :rule refl :args (@t12)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t12 @t21))) % 0.30/0.55 (step @p45 :rule symm :premises (@p44)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.30/0.55 (step @p47 :rule cong :premises (@p24 @p46) :args (@t13)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.30/0.55 (step @p49 :rule refl :args (@t22)) % 0.30/0.55 (step @p50 :rule refl :args (@t14)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t14 @t22))) % 0.30/0.55 (step @p52 :rule symm :premises (@p51)) % 0.30/0.55 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53) :args (@t38)) % 0.30/0.55 (step @p55 :rule nary_cong :premises (@p54 @p48) :args (@t39)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args ((forall @t16 @t39))) % 0.30/0.55 (step @p57 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.30/0.55 (step @p59 :rule trans :premises (@p58 @p56)) % 0.30/0.55 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.30/0.55 (step @p61 :rule exists-elim :args ((= @t17 @t41))) % 0.30/0.55 (step @p62 :rule trans :premises (@p61 @p60)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62) :args (@t18)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63 @p41) :args (@t19)) % 0.30/0.55 (step @p65 :rule cong :premises (@p64) :args (@t20)) % 0.30/0.55 (step @p66 :rule trans :premises (@p65 @p18)) % 0.30/0.55 (step @p67 :rule eq_resolve :premises (@p1 @p66)) % 0.30/0.55 (step @p68 :rule eq-symm :args (@t44 @t46)) % 0.30/0.55 (step @p69 :rule eq-refl :args (@t46)) % 0.30/0.55 (step @p70 :rule refl :args (@t46)) % 0.30/0.55 (step @p71 :rule eq-symm :args (@t42 @t21)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71) :args (@t47)) % 0.30/0.55 (step @p73 :rule refl :args (@t23)) % 0.30/0.55 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t48)) % 0.30/0.55 (step @p75 :rule cong :premises (@p74) :args (@t49)) % 0.30/0.55 (step @p76 :rule cong :premises (@p75) :args (@t50)) % 0.30/0.55 (step @p77 :rule beta-reduce :args ((= @t51 @t50))) % 0.30/0.55 (step @p78 :rule trans :premises (@p77 @p76)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78 @p70) :args ((= @t51 @t46))) % 0.30/0.55 (step @p80 :rule trans :premises (@p79 @p69)) % 0.30/0.55 (step @p81 :rule refl :args (@t42)) % 0.30/0.55 (step @p82 :rule ho_cong :premises (@p11 @p81)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82 @p70) :args ((= @t52 @t46))) % 0.30/0.55 (step @p84 :rule trans :premises (@p83 @p80)) % 0.30/0.55 (step @p85 :rule true_elim :premises (@p84)) % 0.30/0.55 (step @p86 :rule eq-refl :args (@t44)) % 0.30/0.55 (step @p87 :rule refl :args (@t44)) % 0.30/0.55 (step @p88 :rule eq-symm :args (@t42 @t26)) % 0.30/0.55 (step @p89 :rule cong :premises (@p88) :args (@t53)) % 0.30/0.55 (step @p90 :rule refl :args (@t28)) % 0.30/0.55 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t54)) % 0.30/0.55 (step @p92 :rule cong :premises (@p91) :args (@t55)) % 0.30/0.55 (step @p93 :rule cong :premises (@p92) :args (@t56)) % 0.30/0.55 (step @p94 :rule beta-reduce :args ((= @t57 @t56))) % 0.30/0.55 (step @p95 :rule trans :premises (@p94 @p93)) % 0.30/0.55 (step @p96 :rule cong :premises (@p95 @p87) :args ((= @t57 @t44))) % 0.30/0.55 (step @p97 :rule trans :premises (@p96 @p86)) % 0.30/0.55 (step @p98 :rule ho_cong :premises (@p5 @p81)) % 0.30/0.55 (step @p99 :rule cong :premises (@p98 @p87) :args ((= @t58 @t44))) % 0.30/0.55 (step @p100 :rule trans :premises (@p99 @p97)) % 0.30/0.55 (step @p101 :rule true_elim :premises (@p100)) % 0.30/0.55 (step @p102 :rule cong :premises (@p101 @p85) :args (@t59)) % 0.30/0.55 (step @p103 :rule trans :premises (@p102 @p68)) % 0.30/0.55 (step @p104 :rule cong :premises (@p103) :args (@t60)) % 0.30/0.55 (step @p105 :rule refl :args (@t61)) % 0.30/0.55 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t62)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p107 :rule trust :premises () :args (@t62)) % 0.30/0.55 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.30/0.55 (step @p109 :rule chain_m_resolution :premises (@p108 @p67) :args ((not @t63) @t64 (@list @t61))) % 0.30/0.55 (step @p110 :rule alpha_equiv :args (@t45 (@list @t11) (@list @t1))) % 0.30/0.55 (step @p111 :rule equiv_elim1 :premises (@p110)) % 0.30/0.55 (step @p112 :rule cnf_equiv_neg1 :args (@t63)) % 0.30/0.55 (step @p113 :rule reordering :premises (@p112) :args ((or @t46 @t44 @t63))) % 0.30/0.55 (step @p114 :rule chain_m_resolution :premises (@p113 @p109 @p111) :args (@t46 (@list true false) (@list @t63 @t43))) % 0.30/0.55 (step @p115 :rule equiv_elim2 :premises (@p110)) % 0.30/0.55 (step @p116 :rule chain_m_resolution :premises (@p115 @p114) :args (@t44 @t64 (@list @t45))) % 0.30/0.55 (step @p117 :rule bool-double-not-elim :args (@t43)) % 0.30/0.55 (step @p118 :rule bool-double-not-elim :args (@t45)) % 0.30/0.55 (step @p119 :rule refl :args (@t63)) % 0.30/0.55 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args ((or @t63 (not @t46) (not @t44)))) % 0.30/0.55 (step @p121 :rule cnf_equiv_neg2 :args (@t63)) % 0.30/0.55 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.30/0.55 (step @p123 :rule reordering :premises (@p122) :args ((or @t45 @t43 @t63))) % 0.30/0.55 (step @p124 false :rule chain_m_resolution :premises (@p123 @p116 @p114 @p109) :args (false (@list true true true) (@list @t43 @t45 @t63))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------