%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV432^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:55:57 AM UTC 2026 % Result : Theorem 92.39s 92.64s % Output : Proof 92.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV432^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n009.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:32:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 92.39/92.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 92.39/92.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 92.39/92.64 % SZS status Theorem % 92.39/92.64 % SZS output start Proof % 92.39/92.64 ( % 92.39/92.64 (declare-sort tptp.b 0) % 92.39/92.64 (declare-sort tptp.a 0) % 92.39/92.64 (declare-const tptp.f (-> tptp.a tptp.b)) % 92.39/92.64 (define @t1 () (@var "Y" tptp.b)) % 92.39/92.64 (define @t2 () (@var "X" tptp.a)) % 92.39/92.64 (define @t3 () (_ tptp.f @t2)) % 92.39/92.64 (define @t4 () (@list @t2)) % 92.39/92.64 (define @t5 () (exists @t4 (= @t3 @t1))) % 92.39/92.64 (define @t6 () (@list @t1)) % 92.39/92.64 (define @t7 () (forall @t6 @t5)) % 92.39/92.64 (define @t8 () (@var "X" tptp.b)) % 92.39/92.64 (define @t9 () (@var "G" (-> tptp.b tptp.a))) % 92.39/92.64 (define @t10 () (_ @t9 @t8)) % 92.39/92.64 (define @t11 () (_ tptp.f @t10)) % 92.39/92.64 (define @t12 () (@list @t8)) % 92.39/92.64 (define @t13 () (forall @t12 (= @t11 @t8))) % 92.39/92.64 (define @t14 () (@list @t9)) % 92.39/92.64 (define @t15 () (exists @t14 @t13)) % 92.39/92.64 (define @t16 () (not @t15)) % 92.39/92.64 (define @t17 () (tptp.f @t2)) % 92.39/92.65 (define @t18 () (= @t1 @t3)) % 92.39/92.65 (define @t19 () (not @t18)) % 92.39/92.65 (define @t20 () (forall @t4 @t19)) % 92.39/92.65 (define @t21 () (not @t20)) % 92.39/92.65 (define @t22 () (@var "BOUND_VARIABLE_28476" tptp.b)) % 92.39/92.65 (define @t23 () (@const 0 (-> tptp.b tptp.a))) % 92.39/92.65 (define @t24 () (_ @t23 @t22)) % 92.39/92.65 (define @t25 () (@var "x" tptp.a)) % 92.39/92.65 (define @t26 () (tptp.f @t25)) % 92.39/92.65 (define @t27 () (@list @t25)) % 92.39/92.65 (define @t28 () (@list @t22)) % 92.39/92.65 (define @t29 () (forall @t28 (or (forall @t27 (not (= @t22 @t26))) (= @t22 (tptp.f @t24))))) % 92.39/92.65 (define @t30 () (_ @t23 @t8)) % 92.39/92.65 (define @t31 () (forall @t12 (= @t8 (tptp.f @t30)))) % 92.39/92.65 (define @t32 () (@quantifiers_skolemize @t31 0)) % 92.39/92.65 (define @t33 () (= @t32 (tptp.f (_ @t23 @t32)))) % 92.39/92.65 (define @t34 () (not (= @t32 @t26))) % 92.39/92.65 (define @t35 () (forall @t27 @t34)) % 92.39/92.65 (define @t36 () (or @t35 @t33)) % 92.39/92.65 (define @t37 () (@list @t32)) % 92.39/92.65 (define @t38 () (forall @t27 (not (= @t26 @t32)))) % 92.39/92.65 (define @t39 () (or @t38 @t33)) % 92.39/92.65 (define @t40 () (@list false)) % 92.39/92.65 (define @t41 () (_ @t9 @t8)) % 92.39/92.65 (define @t42 () (tptp.f @t41)) % 92.39/92.65 (define @t43 () (forall @t12 (= @t8 @t42))) % 92.39/92.65 (define @t44 () (forall @t14 (not @t43))) % 92.39/92.65 (define @t45 () (= @t8 @t11)) % 92.39/92.65 (define @t46 () (lambda @t28 @t24)) % 92.39/92.65 (define @t47 () (_ @t46 @t8)) % 92.39/92.65 (define @t48 () (tptp.f @t47)) % 92.39/92.65 (define @t49 () (= @t8 @t48)) % 92.39/92.65 (define @t50 () (forall @t12 @t49)) % 92.39/92.65 (define @t51 () (not @t50)) % 92.39/92.65 (define @t52 () (forall @t4 (not (= @t17 @t32)))) % 92.39/92.65 (define @t53 () (not (= @t32 @t17))) % 92.39/92.65 (define @t54 () (forall @t4 @t53)) % 92.39/92.65 (define @t55 () (not @t54)) % 92.39/92.65 (define @t56 () (forall @t6 (not (forall @t4 (not (= @t1 @t17)))))) % 92.39/92.65 (assume @p1 @t7) % 92.39/92.65 (assume @p2 @t16) % 92.39/92.65 (assume @p3 true) % 92.39/92.65 (step @p4 :rule refl :args (@t17)) % 92.39/92.65 (step @p5 :rule refl :args (@t3)) % 92.39/92.65 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t17))) % 92.39/92.65 (step @p7 :rule symm :premises (@p6)) % 92.39/92.65 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 92.39/92.65 (step @p9 :rule refl :args (@t1)) % 92.39/92.65 (step @p10 :rule cong :premises (@p9 @p8) :args (@t18)) % 92.39/92.65 (step @p11 :rule cong :premises (@p10) :args (@t19)) % 92.39/92.65 (step @p12 :rule cong :premises (@p11) :args (@t20)) % 92.39/92.65 (step @p13 :rule cong :premises (@p12) :args (@t21)) % 92.39/92.65 (step @p14 :rule exists-elim :args ((= (exists @t4 @t18) @t21))) % 92.39/92.65 (step @p15 :rule trans :premises (@p14 @p13)) % 92.39/92.65 (step @p16 :rule eq-symm :args (@t3 @t1)) % 92.39/92.65 (step @p17 :rule cong :premises (@p16) :args (@t5)) % 92.39/92.65 (step @p18 :rule trans :premises (@p17 @p15)) % 92.39/92.65 (step @p19 :rule cong :premises (@p18) :args (@t7)) % 92.39/92.65 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 92.39/92.65 ; WARNING: add trust step for TRUST % 92.39/92.65 ; trust TRUST THEORY_LEMMA % 92.39/92.65 (step @p21 :rule trust :premises () :args (@t29)) % 92.39/92.65 (step @p22 :rule refl :args (@t33)) % 92.39/92.65 (step @p23 :rule eq-symm :args (@t32 @t26)) % 92.39/92.65 (step @p24 :rule cong :premises (@p23) :args (@t34)) % 92.39/92.65 (step @p25 :rule cong :premises (@p24) :args (@t35)) % 92.39/92.65 (step @p26 :rule nary_cong :premises (@p25 @p22) :args (@t36)) % 92.39/92.65 (step @p27 :rule refl :args (@t29)) % 92.39/92.65 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t29 @t36))) % 92.39/92.65 (assume-push @p100 @t29) % 92.39/92.65 (step @p30 :rule instantiate :premises (@p21) :args (@t37)) % 92.39/92.65 (step-pop @p101 :rule scope :premises (@p30)) % 92.39/92.65 (step @p31 :rule process_scope :premises (@p101) :args (@t36)) % 92.39/92.65 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 92.39/92.65 (step @p34 :rule implies_elim :premises (@p33)) % 92.39/92.65 (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args (@t39 @t40 (@list @t29))) % 92.39/92.65 (step @p36 :rule bool-double-not-elim :args (@t44)) % 92.39/92.65 (step @p37 :rule exists-elim :args ((= (exists @t14 @t43) (not @t44)))) % 92.39/92.65 (step @p38 :rule refl :args ((tptp.f @t10))) % 92.39/92.65 (step @p39 :rule refl :args (@t41)) % 92.39/92.65 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 92.39/92.65 (step @p41 :rule trans :premises (@p40 @p38)) % 92.39/92.65 (step @p42 :rule refl :args (tptp.f)) % 92.39/92.65 (step @p43 :rule ho_cong :premises (@p42 @p39)) % 92.39/92.65 (step @p44 :rule cong :premises (@p43 @p41) :args ((= (_ tptp.f @t41) @t42))) % 92.39/92.65 (step @p45 :rule symm :premises (@p44)) % 92.39/92.65 (step @p46 :rule refl :args (@t11)) % 92.39/92.65 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 92.39/92.65 (step @p48 :rule refl :args (@t10)) % 92.39/92.65 (step @p49 :rule cong :premises (@p48 @p39) :args ((= @t10 @t41))) % 92.39/92.65 (step @p50 :rule symm :premises (@p49)) % 92.39/92.65 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 92.39/92.65 (step @p52 :rule ho_cong :premises (@p42 @p51)) % 92.39/92.65 (step @p53 :rule trans :premises (@p52 @p47)) % 92.39/92.65 (step @p54 :rule refl :args (@t8)) % 92.39/92.65 (step @p55 :rule cong :premises (@p54 @p53) :args (@t45)) % 92.39/92.65 (step @p56 :rule cong :premises (@p55) :args ((forall @t12 @t45))) % 92.39/92.65 (step @p57 :rule eq-symm :args (@t11 @t8)) % 92.39/92.65 (step @p58 :rule cong :premises (@p57) :args (@t13)) % 92.39/92.65 (step @p59 :rule trans :premises (@p58 @p56)) % 92.39/92.65 (step @p60 :rule cong :premises (@p59) :args (@t15)) % 92.39/92.65 (step @p61 :rule trans :premises (@p60 @p37)) % 92.39/92.65 (step @p62 :rule cong :premises (@p61) :args (@t16)) % 92.39/92.65 (step @p63 :rule trans :premises (@p62 @p36)) % 92.39/92.65 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 92.39/92.65 (step @p65 :rule beta-reduce :args ((= @t47 @t30))) % 92.39/92.65 (step @p66 :rule cong :premises (@p65) :args (@t48)) % 92.39/92.65 (step @p67 :rule refl :args (@t8)) % 92.39/92.65 (step @p68 :rule cong :premises (@p67 @p66) :args (@t49)) % 92.39/92.65 (step @p69 :rule cong :premises (@p68) :args (@t50)) % 92.39/92.65 (step @p70 :rule cong :premises (@p69) :args (@t51)) % 92.39/92.65 (step @p71 :rule refl :args (@t44)) % 92.39/92.65 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t44 @t51))) % 92.39/92.65 (assume-push @p102 @t44) % 92.39/92.65 (step @p74 :rule instantiate :premises (@p64) :args ((@list @t46))) % 92.39/92.65 (step-pop @p103 :rule scope :premises (@p74)) % 92.39/92.65 (step @p75 :rule process_scope :premises (@p103) :args (@t51)) % 92.39/92.65 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 92.39/92.65 (step @p78 :rule implies_elim :premises (@p77)) % 92.39/92.65 (step @p79 :rule chain_m_resolution :premises (@p78 @p64) :args ((not @t31) @t40 (@list @t44))) % 92.39/92.65 (step @p80 :rule skolemize :premises (@p79)) % 92.39/92.65 (step @p81 :rule cnf_or_pos :args (@t39)) % 92.39/92.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t33 @t38 (not @t39)))) % 92.39/92.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p35) :args (@t38 (@list true false) (@list @t33 @t39))) % 92.39/92.65 (step @p84 :rule alpha_equiv :args (@t38 (@list @t25) (@list @t2))) % 92.39/92.65 (step @p85 :rule equiv_elim1 :premises (@p84)) % 92.39/92.65 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args (@t52 @t40 (@list @t38))) % 92.39/92.65 (step @p87 :rule eq-symm :args (@t32 @t17)) % 92.39/92.65 (step @p88 :rule cong :premises (@p87) :args (@t53)) % 92.39/92.65 (step @p89 :rule cong :premises (@p88) :args (@t54)) % 92.39/92.65 (step @p90 :rule cong :premises (@p89) :args (@t55)) % 92.39/92.65 (step @p91 :rule refl :args (@t56)) % 92.39/92.65 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t56 @t55))) % 92.39/92.65 (assume-push @p104 @t56) % 92.39/92.65 (step @p94 :rule instantiate :premises (@p20) :args (@t37)) % 92.39/92.65 (step-pop @p105 :rule scope :premises (@p94)) % 92.39/92.65 (step @p95 :rule process_scope :premises (@p105) :args (@t55)) % 92.39/92.65 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 92.39/92.65 (step @p98 :rule implies_elim :premises (@p97)) % 92.39/92.65 (step @p99 false :rule chain_m_resolution :premises (@p98 @p86 @p20) :args (false (@list false false) (@list @t52 @t56))) % 92.39/92.65 ) % 92.39/92.65 % SZS output end Proof % 92.39/92.65 % cvc5 exiting %------------------------------------------------------------------------------