%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET044^5 : 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 : n013.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 08:47:07 AM UTC 2026 % Result : Theorem 0.71s 0.97s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET044^5 : 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 % 0.16/0.34 % Computer : n013.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 14:47:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.71/0.97 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.71/0.97 % SZS status Theorem % 0.71/0.97 % SZS output start Proof % 0.71/0.97 ( % 0.71/0.97 (declare-sort $$unsorted 0) % 0.71/0.97 (declare-const tptp.cF (-> $$unsorted $$unsorted Bool)) % 0.71/0.97 (define @t1 () (@var "Xx" $$unsorted)) % 0.71/0.97 (define @t2 () (@var "Xz" $$unsorted)) % 0.71/0.97 (define @t3 () (_ tptp.cF @t2)) % 0.71/0.97 (define @t4 () (_ @t3 @t1)) % 0.71/0.97 (define @t5 () (not @t4)) % 0.71/0.97 (define @t6 () (@var "Xy" $$unsorted)) % 0.71/0.97 (define @t7 () (_ @t3 @t6)) % 0.71/0.97 (define @t8 () (= @t7 @t5)) % 0.71/0.97 (define @t9 () (@list @t2)) % 0.71/0.97 (define @t10 () (forall @t9 @t8)) % 0.71/0.97 (define @t11 () (@list @t6)) % 0.71/0.97 (define @t12 () (exists @t11 @t10)) % 0.71/0.97 (define @t13 () (@list @t1)) % 0.71/0.97 (define @t14 () (forall @t13 @t12)) % 0.71/0.97 (define @t15 () (not @t14)) % 0.71/0.97 (define @t16 () (_ tptp.cF @t1)) % 0.71/0.97 (define @t17 () (_ @t16 @t1)) % 0.71/0.97 (define @t18 () (_ @t16 @t6)) % 0.71/0.97 (define @t19 () (= @t18 @t17)) % 0.71/0.97 (define @t20 () (forall @t13 @t19)) % 0.71/0.97 (define @t21 () (exists @t11 @t20)) % 0.71/0.97 (define @t22 () (=> @t21 @t15)) % 0.71/0.97 (define @t23 () (not @t22)) % 0.71/0.97 (define @t24 () (tptp.cF @t2 @t1)) % 0.71/0.97 (define @t25 () (tptp.cF @t2 @t6)) % 0.71/0.97 (define @t26 () (forall @t9 (= @t25 (not @t24)))) % 0.71/0.97 (define @t27 () (tptp.cF @t1 @t1)) % 0.71/0.97 (define @t28 () (tptp.cF @t1 @t6)) % 0.71/0.97 (define @t29 () (forall @t13 (= @t28 @t27))) % 0.71/0.97 (define @t30 () (forall @t11 (not @t29))) % 0.71/0.97 (define @t31 () (not @t30)) % 0.71/0.97 (define @t32 () (@quantifiers_skolemize @t30 0)) % 0.71/0.97 (define @t33 () (tptp.cF @t1 @t32)) % 0.71/0.97 (define @t34 () (forall @t13 (= @t27 @t33))) % 0.71/0.97 (define @t35 () (forall @t13 (= @t33 @t27))) % 0.71/0.97 (define @t36 () (not (not @t35))) % 0.71/0.97 (define @t37 () (@list true)) % 0.71/0.97 (define @t38 () (not (tptp.cF @t2 @t32))) % 0.71/0.97 (define @t39 () (forall @t11 (not (forall @t9 (= @t25 @t38))))) % 0.71/0.97 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.71/0.97 (define @t41 () (tptp.cF @t40 @t40)) % 0.71/0.97 (define @t42 () (tptp.cF @t40 @t32)) % 0.71/0.97 (define @t43 () (= @t41 @t42)) % 0.71/0.97 (define @t44 () (@list @t40)) % 0.71/0.97 (define @t45 () (= @t42 @t41)) % 0.71/0.97 (define @t46 () (tptp.cF @t2 @t40)) % 0.71/0.97 (define @t47 () (forall @t9 (= @t38 @t46))) % 0.71/0.97 (define @t48 () (not @t39)) % 0.71/0.97 (define @t49 () (forall @t9 (= @t46 @t38))) % 0.71/0.97 (define @t50 () (not (not @t49))) % 0.71/0.97 (define @t51 () (not @t42)) % 0.71/0.97 (define @t52 () (= @t51 @t41)) % 0.71/0.97 (define @t53 () (not @t52)) % 0.71/0.97 (define @t54 () (not @t45)) % 0.71/0.97 (define @t55 () (not @t41)) % 0.71/0.97 (assume @p1 @t23) % 0.71/0.97 (assume @p2 true) % 0.71/0.97 (step @p3 :rule exists-elim :args ((= (exists @t11 @t26) (not (forall @t11 (not @t26)))))) % 0.71/0.97 (step @p4 :rule refl :args (@t24)) % 0.71/0.97 (step @p5 :rule refl :args (@t4)) % 0.71/0.97 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t24))) % 0.71/0.97 (step @p7 :rule symm :premises (@p6)) % 0.71/0.97 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.71/0.97 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 0.71/0.97 (step @p10 :rule refl :args (@t25)) % 0.71/0.97 (step @p11 :rule refl :args (@t7)) % 0.71/0.97 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t25))) % 0.71/0.97 (step @p13 :rule symm :premises (@p12)) % 0.71/0.97 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.71/0.97 (step @p15 :rule cong :premises (@p14 @p9) :args (@t8)) % 0.71/0.97 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.71/0.97 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.71/0.97 (step @p18 :rule trans :premises (@p17 @p3)) % 0.71/0.97 (step @p19 :rule cong :premises (@p18) :args (@t14)) % 0.71/0.97 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 0.71/0.97 (step @p21 :rule exists-elim :args ((= (exists @t11 @t29) @t31))) % 0.71/0.97 (step @p22 :rule refl :args (@t27)) % 0.71/0.97 (step @p23 :rule refl :args (@t17)) % 0.71/0.97 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t17 @t27))) % 0.71/0.97 (step @p25 :rule symm :premises (@p24)) % 0.71/0.97 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.71/0.97 (step @p27 :rule refl :args (@t28)) % 0.71/0.97 (step @p28 :rule refl :args (@t18)) % 0.71/0.97 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t18 @t28))) % 0.71/0.97 (step @p30 :rule symm :premises (@p29)) % 0.71/0.97 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.71/0.97 (step @p32 :rule cong :premises (@p31 @p26) :args (@t19)) % 0.71/0.97 (step @p33 :rule cong :premises (@p32) :args (@t20)) % 0.71/0.97 (step @p34 :rule cong :premises (@p33) :args (@t21)) % 0.71/0.97 (step @p35 :rule trans :premises (@p34 @p21)) % 0.71/0.97 (step @p36 :rule cong :premises (@p35 @p20) :args (@t22)) % 0.71/0.97 (step @p37 :rule cong :premises (@p36) :args (@t23)) % 0.71/0.97 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.71/0.97 (step @p39 :rule not_implies_elim1 :premises (@p38)) % 0.71/0.97 (step @p40 :rule refl :args (@t34)) % 0.71/0.97 (step @p41 :rule bool-double-not-elim :args (@t30)) % 0.71/0.97 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t31) @t34))) % 0.71/0.97 (step @p43 :rule eq-symm :args (@t33 @t27)) % 0.71/0.97 (step @p44 :rule cong :premises (@p43) :args (@t35)) % 0.71/0.97 (step @p45 :rule bool-double-not-elim :args (@t35)) % 0.71/0.97 (step @p46 :rule trans :premises (@p45 @p44)) % 0.71/0.97 (step @p47 :rule refl :args (@t31)) % 0.71/0.97 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t31 @t36))) % 0.71/0.97 (assume-push @p103 @t31) % 0.71/0.97 (step @p50 :rule skolemize :premises (@p39)) % 0.71/0.97 (step-pop @p104 :rule scope :premises (@p50)) % 0.71/0.97 (step @p51 :rule process_scope :premises (@p104) :args (@t36)) % 0.71/0.97 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.71/0.97 (step @p54 :rule implies_elim :premises (@p53)) % 0.71/0.97 (step @p55 :rule eq_resolve :premises (@p54 @p42)) % 0.71/0.97 (step @p56 :rule chain_m_resolution :premises (@p55 @p39) :args (@t34 @t37 (@list @t30))) % 0.71/0.97 (step @p57 :rule eq-symm :args (@t41 @t42)) % 0.71/0.97 (step @p58 :rule cong :premises (@p40 @p57) :args ((=> @t34 @t43))) % 0.71/0.97 (assume-push @p105 @t34) % 0.71/0.97 (step @p60 :rule instantiate :premises (@p56) :args (@t44)) % 0.71/0.97 (step-pop @p106 :rule scope :premises (@p60)) % 0.71/0.97 (step @p61 :rule process_scope :premises (@p106) :args (@t43)) % 0.71/0.97 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.71/0.97 (step @p64 :rule implies_elim :premises (@p63)) % 0.71/0.97 (step @p65 :rule chain_m_resolution :premises (@p64 @p56) :args (@t45 (@list false) (@list @t34))) % 0.71/0.97 (step @p66 :rule not_implies_elim2 :premises (@p38)) % 0.71/0.97 (step @p67 :rule not_not_elim :premises (@p66)) % 0.71/0.97 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t32))) % 0.71/0.97 (step @p69 :rule refl :args (@t47)) % 0.71/0.97 (step @p70 :rule bool-double-not-elim :args (@t39)) % 0.71/0.97 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t48) @t47))) % 0.71/0.97 (step @p72 :rule eq-symm :args (@t46 @t38)) % 0.71/0.97 (step @p73 :rule cong :premises (@p72) :args (@t49)) % 0.71/0.97 (step @p74 :rule bool-double-not-elim :args (@t49)) % 0.71/0.97 (step @p75 :rule trans :premises (@p74 @p73)) % 0.71/0.97 (step @p76 :rule refl :args (@t48)) % 0.71/0.97 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t48 @t50))) % 0.71/0.97 (assume-push @p107 @t48) % 0.71/0.97 (step @p79 :rule skolemize :premises (@p68)) % 0.71/0.97 (step-pop @p108 :rule scope :premises (@p79)) % 0.71/0.97 (step @p80 :rule process_scope :premises (@p108) :args (@t50)) % 0.71/0.97 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.71/0.97 (step @p83 :rule implies_elim :premises (@p82)) % 0.71/0.97 (step @p84 :rule eq_resolve :premises (@p83 @p71)) % 0.71/0.97 (step @p85 :rule chain_m_resolution :premises (@p84 @p68) :args (@t47 @t37 (@list @t39))) % 0.71/0.97 (step @p86 :rule instantiate :premises (@p85) :args (@t44)) % 0.71/0.97 (step @p87 :rule refl :args (@t41)) % 0.71/0.97 (step @p88 :rule bool-double-not-elim :args (@t42)) % 0.71/0.97 (step @p89 :rule refl :args (@t53)) % 0.71/0.97 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args ((or @t53 (not @t51) @t41))) % 0.71/0.97 (step @p91 :rule cnf_equiv_pos1 :args (@t52)) % 0.71/0.97 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.71/0.97 (step @p93 :rule reordering :premises (@p92) :args ((or @t42 @t41 @t53))) % 0.71/0.97 (step @p94 :rule cnf_equiv_pos2 :args (@t45)) % 0.71/0.97 (step @p95 :rule reordering :premises (@p94) :args ((or @t42 @t55 @t54))) % 0.71/0.97 (step @p96 :rule chain_m_resolution :premises (@p95 @p65 @p93 @p86) :args (@t42 (@list false false false) (@list @t45 @t41 @t52))) % 0.71/0.97 (step @p97 :rule cnf_equiv_pos2 :args (@t52)) % 0.71/0.97 (step @p98 :rule reordering :premises (@p97) :args ((or @t51 @t55 @t53))) % 0.71/0.97 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p86) :args (@t55 (@list false false) (@list @t42 @t52))) % 0.71/0.97 (step @p100 :rule cnf_equiv_pos1 :args (@t45)) % 0.71/0.97 (step @p101 :rule reordering :premises (@p100) :args ((or @t51 @t41 @t54))) % 0.71/0.97 (step @p102 false :rule chain_m_resolution :premises (@p101 @p99 @p96 @p65) :args (false (@list true false false) (@list @t41 @t42 @t45))) % 0.71/0.97 ) % 0.71/0.97 % SZS output end Proof % 0.71/0.97 % cvc5 exiting %------------------------------------------------------------------------------