%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET879+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:48:54 AM UTC 2026 % Result : Theorem 0.72s 0.93s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET879+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 16:16:30 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.72/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/0.93 % SZS status Theorem % 0.72/0.93 % SZS output start Proof % 0.72/0.93 ( % 0.72/0.93 (declare-sort $$unsorted 0) % 0.72/0.93 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.72/0.93 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.72/0.93 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.72/0.93 (define @t1 () (@var "A" $$unsorted)) % 0.72/0.93 (define @t2 () (@var "B" $$unsorted)) % 0.72/0.93 (define @t3 () (tptp.in @t1 @t2)) % 0.72/0.93 (define @t4 () (@list @t1 @t2)) % 0.72/0.93 (define @t5 () (@var "C" $$unsorted)) % 0.72/0.93 (define @t6 () (tptp.in @t5 @t2)) % 0.72/0.93 (define @t7 () (= @t6 (= @t5 @t1))) % 0.72/0.93 (define @t8 () (@list @t5)) % 0.72/0.93 (define @t9 () (forall @t8 @t7)) % 0.72/0.93 (define @t10 () (tptp.singleton @t1)) % 0.72/0.93 (define @t11 () (= @t2 @t10)) % 0.72/0.93 (define @t12 () (= @t11 @t9)) % 0.72/0.93 (define @t13 () (forall @t4 @t12)) % 0.72/0.93 (define @t14 () (not @t3)) % 0.72/0.93 (define @t15 () (tptp.set_difference @t10 @t2)) % 0.72/0.93 (define @t16 () (= (= @t15 @t10) @t14)) % 0.72/0.93 (define @t17 () (forall @t4 @t16)) % 0.72/0.93 (define @t18 () (tptp.empty @t1)) % 0.72/0.93 (define @t19 () (@list @t1)) % 0.72/0.93 (define @t20 () (not (= @t1 @t2))) % 0.72/0.93 (define @t21 () (tptp.set_difference @t10 (tptp.singleton @t2))) % 0.72/0.93 (define @t22 () (= (= @t21 @t10) @t20)) % 0.72/0.93 (define @t23 () (forall @t4 @t22)) % 0.72/0.93 (define @t24 () (not @t23)) % 0.72/0.93 (define @t25 () (= @t10 @t21)) % 0.72/0.93 (define @t26 () (= @t10 @t15)) % 0.72/0.93 (define @t27 () (forall @t4 (= @t20 @t25))) % 0.72/0.93 (define @t28 () (@quantifiers_skolemize @t27 1)) % 0.72/0.93 (define @t29 () (tptp.singleton @t28)) % 0.72/0.93 (define @t30 () (@quantifiers_skolemize @t27 0)) % 0.72/0.93 (define @t31 () (tptp.in @t30 @t29)) % 0.72/0.93 (define @t32 () (not @t31)) % 0.72/0.93 (define @t33 () (tptp.singleton @t30)) % 0.72/0.93 (define @t34 () (= @t33 (tptp.set_difference @t33 @t29))) % 0.72/0.93 (define @t35 () (forall @t4 (= @t14 @t26))) % 0.72/0.93 (define @t36 () (= @t32 @t34)) % 0.72/0.93 (define @t37 () (= @t34 @t32)) % 0.72/0.93 (define @t38 () (@list false)) % 0.72/0.93 (define @t39 () (not @t37)) % 0.72/0.93 (define @t40 () (tptp.in @t5 @t29)) % 0.72/0.93 (define @t41 () (forall @t8 (= (= @t5 @t28) @t40))) % 0.72/0.93 (define @t42 () (= @t28 @t5)) % 0.72/0.93 (define @t43 () (forall @t8 (= @t40 @t42))) % 0.72/0.93 (define @t44 () (= (= @t29 @t29) @t43)) % 0.72/0.93 (define @t45 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 0.72/0.93 (define @t46 () (= @t30 @t28)) % 0.72/0.93 (define @t47 () (= @t46 @t31)) % 0.72/0.93 (define @t48 () (not @t47)) % 0.72/0.93 (define @t49 () (not @t46)) % 0.72/0.93 (define @t50 () (not @t34)) % 0.72/0.93 (define @t51 () (= @t49 @t34)) % 0.72/0.93 (define @t52 () (@list false false)) % 0.72/0.93 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.72/0.93 (assume @p2 @t13) % 0.72/0.93 (assume @p3 @t17) % 0.72/0.93 (assume @p4 (exists @t19 @t18)) % 0.72/0.93 (assume @p5 (exists @t19 (not @t18))) % 0.72/0.93 (assume @p6 @t24) % 0.72/0.93 (assume @p7 true) % 0.72/0.93 (step @p8 :rule eq-symm :args (@t25 @t20)) % 0.72/0.93 (step @p9 :rule refl :args (@t20)) % 0.72/0.93 (step @p10 :rule eq-symm :args (@t21 @t10)) % 0.72/0.93 (step @p11 :rule cong :premises (@p10 @p9) :args (@t22)) % 0.72/0.93 (step @p12 :rule trans :premises (@p11 @p8)) % 0.72/0.93 (step @p13 :rule cong :premises (@p12) :args (@t23)) % 0.72/0.93 (step @p14 :rule cong :premises (@p13) :args (@t24)) % 0.72/0.93 (step @p15 :rule eq_resolve :premises (@p6 @p14)) % 0.72/0.93 (step @p16 :rule skolemize :premises (@p15)) % 0.72/0.93 (step @p17 :rule eq-symm :args (@t26 @t14)) % 0.72/0.93 (step @p18 :rule refl :args (@t14)) % 0.72/0.93 (step @p19 :rule eq-symm :args (@t15 @t10)) % 0.72/0.93 (step @p20 :rule cong :premises (@p19 @p18) :args (@t16)) % 0.72/0.93 (step @p21 :rule trans :premises (@p20 @p17)) % 0.72/0.93 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.72/0.93 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 0.72/0.93 (step @p24 :rule eq-symm :args (@t32 @t34)) % 0.72/0.93 (step @p25 :rule refl :args (@t35)) % 0.72/0.93 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t35 @t36))) % 0.72/0.93 (assume-push @p90 @t35) % 0.72/0.93 (step @p28 :rule instantiate :premises (@p23) :args ((@list @t30 @t29))) % 0.72/0.93 (step-pop @p91 :rule scope :premises (@p28)) % 0.72/0.93 (step @p29 :rule process_scope :premises (@p91) :args (@t36)) % 0.72/0.93 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.72/0.93 (step @p32 :rule implies_elim :premises (@p31)) % 0.72/0.93 (step @p33 :rule chain_m_resolution :premises (@p32 @p23) :args (@t37 @t38 (@list @t35))) % 0.72/0.93 (step @p34 :rule bool-double-not-elim :args (@t31)) % 0.72/0.93 (step @p35 :rule refl :args (@t34)) % 0.72/0.93 (step @p36 :rule refl :args (@t39)) % 0.72/0.93 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args ((or @t39 @t34 (not @t32)))) % 0.72/0.93 (step @p38 :rule cnf_equiv_pos2 :args (@t37)) % 0.72/0.94 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.72/0.94 (step @p40 :rule reordering :premises (@p39) :args ((or @t34 @t31 @t39))) % 0.72/0.94 (step @p41 :rule eq-symm :args (@t5 @t1)) % 0.72/0.94 (step @p42 :rule refl :args (@t6)) % 0.72/0.94 (step @p43 :rule cong :premises (@p42 @p41) :args (@t7)) % 0.72/0.94 (step @p44 :rule cong :premises (@p43) :args (@t9)) % 0.72/0.94 (step @p45 :rule refl :args (@t11)) % 0.72/0.94 (step @p46 :rule cong :premises (@p45 @p44) :args (@t12)) % 0.72/0.94 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 0.72/0.94 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.72/0.94 (step @p49 :rule bool-eq-true :args (@t41)) % 0.72/0.94 (step @p50 :rule eq-symm :args (true @t41)) % 0.72/0.94 (step @p51 :rule trans :premises (@p50 @p49)) % 0.72/0.94 (step @p52 :rule refl :args (@t40)) % 0.72/0.94 (step @p53 :rule eq-symm :args (@t28 @t5)) % 0.72/0.94 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t42 @t40))) % 0.72/0.94 (step @p55 :rule eq-symm :args (@t40 @t42)) % 0.72/0.94 (step @p56 :rule trans :premises (@p55 @p54)) % 0.72/0.94 (step @p57 :rule cong :premises (@p56) :args (@t43)) % 0.72/0.94 (step @p58 :rule eq-refl :args (@t29)) % 0.72/0.94 (step @p59 :rule cong :premises (@p58 @p57) :args (@t44)) % 0.72/0.94 (step @p60 :rule trans :premises (@p59 @p51)) % 0.72/0.94 (step @p61 :rule refl :args (@t45)) % 0.72/0.94 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t45 @t44))) % 0.72/0.94 (assume-push @p92 @t45) % 0.72/0.94 (step @p64 :rule instantiate :premises (@p48) :args ((@list @t28 @t29))) % 0.72/0.94 (step-pop @p93 :rule scope :premises (@p64)) % 0.72/0.94 (step @p65 :rule process_scope :premises (@p93) :args (@t44)) % 0.72/0.94 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.72/0.94 (step @p68 :rule implies_elim :premises (@p67)) % 0.72/0.94 (step @p69 :rule chain_m_resolution :premises (@p68 @p48) :args (@t41 @t38 (@list @t45))) % 0.72/0.94 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t30))) % 0.72/0.94 (step @p71 :rule cnf_equiv_pos1 :args (@t47)) % 0.72/0.94 (step @p72 :rule reordering :premises (@p71) :args ((or @t49 @t31 @t48))) % 0.72/0.94 (step @p73 :rule refl :args (@t50)) % 0.72/0.94 (step @p74 :rule bool-double-not-elim :args (@t46)) % 0.72/0.94 (step @p75 :rule refl :args (@t51)) % 0.72/0.94 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args ((or @t51 (not @t49) @t50))) % 0.72/0.94 (step @p77 :rule cnf_equiv_neg2 :args (@t51)) % 0.72/0.94 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.72/0.94 (step @p79 :rule reordering :premises (@p78) :args ((or @t46 @t51 @t50))) % 0.72/0.94 (step @p80 :rule chain_m_resolution :premises (@p79 @p16 @p72 @p70 @p40 @p33) :args (@t31 (@list true true false false false) (@list @t51 @t46 @t47 @t34 @t37))) % 0.72/0.94 (step @p81 :rule cnf_equiv_pos1 :args (@t37)) % 0.72/0.94 (step @p82 :rule reordering :premises (@p81) :args ((or @t50 @t32 @t39))) % 0.72/0.94 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p33) :args (@t50 @t52 (@list @t31 @t37))) % 0.72/0.94 (step @p84 :rule cnf_equiv_pos2 :args (@t47)) % 0.72/0.94 (step @p85 :rule reordering :premises (@p84) :args ((or @t46 @t32 @t48))) % 0.72/0.94 (step @p86 :rule chain_m_resolution :premises (@p85 @p80 @p70) :args (@t46 @t52 (@list @t31 @t47))) % 0.72/0.94 (step @p87 :rule cnf_equiv_neg1 :args (@t51)) % 0.72/0.94 (step @p88 :rule reordering :premises (@p87) :args ((or @t49 @t34 @t51))) % 0.72/0.94 (step @p89 false :rule chain_m_resolution :premises (@p88 @p86 @p83 @p16) :args (false (@list false true true) (@list @t46 @t34 @t51))) % 0.72/0.94 ) % 0.72/0.94 % SZS output end Proof % 0.72/0.94 % cvc5 exiting %------------------------------------------------------------------------------