%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU842^5 : 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 : n007.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 08:53:24 AM UTC 2026 % Result : Theorem 0.29s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU842^5 : 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 : n007.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 17:54:26 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.56 % SZS status Theorem % 0.29/0.56 % SZS output start Proof % 0.29/0.56 ( % 0.29/0.56 (declare-sort tptp.a 0) % 0.29/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.29/0.56 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.29/0.56 (define @t3 () (_ @t2 @t1)) % 0.29/0.56 (define @t4 () (@var "T" (-> tptp.a Bool))) % 0.29/0.56 (define @t5 () (_ @t4 @t1)) % 0.29/0.56 (define @t6 () (and @t5 @t3)) % 0.29/0.56 (define @t7 () (@list @t1)) % 0.29/0.56 (define @t8 () (lambda @t7 @t6)) % 0.29/0.56 (define @t9 () (and @t3 @t5)) % 0.29/0.56 (define @t10 () (lambda @t7 @t9)) % 0.29/0.56 (define @t11 () (= @t10 @t8)) % 0.29/0.56 (define @t12 () (@list @t2 @t4)) % 0.29/0.56 (define @t13 () (forall @t12 @t11)) % 0.29/0.56 (define @t14 () (not @t13)) % 0.29/0.56 (define @t15 () (_ @t2 @t1)) % 0.29/0.56 (define @t16 () (_ @t4 @t1)) % 0.29/0.56 (define @t17 () (forall @t12 (= (lambda @t7 (and @t15 @t16)) (lambda @t7 (and @t16 @t15))))) % 0.29/0.56 (define @t18 () (@quantifiers_skolemize @t17 1)) % 0.29/0.56 (define @t19 () (_ @t18 @t1)) % 0.29/0.56 (define @t20 () (@quantifiers_skolemize @t17 0)) % 0.29/0.56 (define @t21 () (_ @t20 @t1)) % 0.29/0.56 (define @t22 () (lambda @t7 (and @t21 @t19))) % 0.38/0.56 (define @t23 () (@purify @t22)) % 0.38/0.56 (define @t24 () (lambda @t7 (and @t19 @t21))) % 0.38/0.56 (define @t25 () (@purify @t24)) % 0.38/0.56 (define @t26 () (= @t25 @t23)) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (not @t17)) % 0.38/0.56 (define @t29 () (= @t22 @t24)) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (@list true)) % 0.38/0.56 (define @t32 () (@const 0 tptp.a)) % 0.38/0.56 (define @t33 () (_ @t20 @t32)) % 0.38/0.56 (define @t34 () (_ @t18 @t32)) % 0.38/0.56 (define @t35 () (and @t34 @t33)) % 0.38/0.56 (define @t36 () (and @t33 @t34)) % 0.38/0.56 (define @t37 () (= @t36 @t35)) % 0.38/0.56 (define @t38 () (= (_ @t22 @t32) @t36)) % 0.38/0.56 (define @t39 () (_ @t23 @t32)) % 0.38/0.56 (define @t40 () (= (_ @t24 @t32) @t35)) % 0.38/0.56 (define @t41 () (_ @t25 @t32)) % 0.38/0.56 (define @t42 () (= @t41 @t39)) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (define @t44 () (or @t26 @t43)) % 0.38/0.56 (define @t45 () (not @t36)) % 0.38/0.56 (define @t46 () (not @t35)) % 0.38/0.56 (define @t47 () (@list true true true)) % 0.38/0.56 (define @t48 () (@list @t37 @t35 @t36)) % 0.38/0.56 (define @t49 () (not @t34)) % 0.38/0.56 (define @t50 () (not @t33)) % 0.38/0.56 (define @t51 () (@list @t33)) % 0.38/0.56 (assume @p1 @t14) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t15)) % 0.38/0.56 (step @p4 :rule refl :args (@t3)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t15))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.56 (step @p8 :rule refl :args (@t16)) % 0.38/0.56 (step @p9 :rule refl :args (@t5)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t16))) % 0.38/0.56 (step @p11 :rule symm :premises (@p10)) % 0.38/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.38/0.56 (step @p15 :rule nary_cong :premises (@p7 @p12) :args (@t9)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p14) :args (@t11)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args (@t14)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.56 (step @p21 :rule refl :args (@t27)) % 0.38/0.56 (step @p22 :rule bool-double-not-elim :args (@t17)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t28) @t27))) % 0.38/0.56 (step @p24 :rule eq-symm :args (@t23 @t25)) % 0.38/0.56 (step @p25 :rule eq-refl :args (@t24)) % 0.38/0.56 (step @p26 :rule skolem_intro :args (@t25)) % 0.38/0.56 (step @p27 :rule refl :args (@t24)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t24 @t25))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p25)) % 0.38/0.56 (step @p30 :rule true_elim :premises (@p29)) % 0.38/0.56 (step @p31 :rule eq-refl :args (@t22)) % 0.38/0.56 (step @p32 :rule skolem_intro :args (@t23)) % 0.38/0.56 (step @p33 :rule refl :args (@t22)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t22 @t23))) % 0.38/0.56 (step @p35 :rule trans :premises (@p34 @p31)) % 0.38/0.56 (step @p36 :rule true_elim :premises (@p35)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36 @p30) :args (@t29)) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p24)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38) :args (@t30)) % 0.38/0.56 (step @p40 :rule refl :args (@t28)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t28 @t30))) % 0.38/0.56 (assume-push @p100 @t28) % 0.38/0.56 (step @p43 :rule skolemize :premises (@p20)) % 0.38/0.56 (step-pop @p101 :rule scope :premises (@p43)) % 0.38/0.56 (step @p44 :rule process_scope :premises (@p101) :args (@t30)) % 0.38/0.56 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.38/0.56 (step @p47 :rule implies_elim :premises (@p46)) % 0.38/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p23)) % 0.38/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p20) :args (@t27 @t31 (@list @t17))) % 0.38/0.56 (step @p50 :rule aci_norm :args (@t37)) % 0.38/0.56 (step @p51 :rule symm :premises (@p50)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t35 @t36))) % 0.38/0.56 (step @p53 :rule eq-refl :args (@t36)) % 0.38/0.56 (step @p54 :rule refl :args (@t36)) % 0.38/0.56 (step @p55 :rule beta-reduce :args (@t38)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args (@t38)) % 0.38/0.56 (step @p57 :rule trans :premises (@p56 @p53)) % 0.38/0.56 (step @p58 :rule refl :args (@t32)) % 0.38/0.56 (step @p59 :rule ho_cong :premises (@p32 @p58)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59 @p54) :args ((= @t39 @t36))) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p57)) % 0.38/0.56 (step @p62 :rule true_elim :premises (@p61)) % 0.38/0.56 (step @p63 :rule eq-refl :args (@t35)) % 0.38/0.56 (step @p64 :rule refl :args (@t35)) % 0.38/0.56 (step @p65 :rule beta-reduce :args (@t40)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65 @p64) :args (@t40)) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.56 (step @p68 :rule ho_cong :premises (@p26 @p58)) % 0.38/0.56 (step @p69 :rule cong :premises (@p68 @p64) :args ((= @t41 @t35))) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p67)) % 0.38/0.56 (step @p71 :rule true_elim :premises (@p70)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71 @p62) :args (@t42)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p52)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args (@t43)) % 0.38/0.56 (step @p75 :rule refl :args (@t26)) % 0.38/0.56 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t44)) % 0.38/0.56 ; WARNING: add trust step for TRUST % 0.38/0.56 ; trust TRUST THEORY_LEMMA % 0.38/0.56 (step @p77 :rule trust :premises () :args (@t44)) % 0.38/0.56 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p49) :args ((not @t37) @t31 (@list @t26))) % 0.38/0.56 (step @p80 :rule cnf_and_pos :args (@t36 1)) % 0.38/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t34 @t45))) % 0.38/0.56 (step @p82 :rule cnf_and_pos :args (@t35 0)) % 0.38/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t34 @t46))) % 0.38/0.56 (step @p84 :rule cnf_equiv_neg1 :args (@t37)) % 0.38/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t36 @t35 @t37))) % 0.38/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p79 @p83 @p81) :args (@t34 @t47 @t48)) % 0.38/0.56 (step @p87 :rule cnf_and_neg :args (@t36)) % 0.38/0.56 (step @p88 :rule cnf_and_neg :args (@t35)) % 0.38/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t35 @t50 @t49))) % 0.38/0.56 (step @p90 :rule cnf_equiv_neg2 :args (@t37)) % 0.38/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p79 @p89 @p87) :args ((or @t50 @t49) (@list true false false) @t48)) % 0.38/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p86) :args (@t50 (@list false) (@list @t34))) % 0.38/0.56 (step @p93 :rule cnf_and_pos :args (@t36 0)) % 0.38/0.56 (step @p94 :rule reordering :premises (@p93) :args ((or @t33 @t45))) % 0.38/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p92) :args (@t45 @t31 @t51)) % 0.38/0.56 (step @p96 :rule cnf_and_pos :args (@t35 1)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t33 @t46))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p92) :args (@t46 @t31 @t51)) % 0.38/0.56 (step @p99 false :rule chain_m_resolution :premises (@p85 @p98 @p95 @p79) :args (false @t47 (@list @t35 @t36 @t37))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------