%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET877+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 : n006.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 15.40s 15.67s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET877+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 % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:16:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.67 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.67 % SZS status Theorem % 15.40/15.67 % SZS output start Proof % 15.40/15.67 ( % 15.40/15.67 (declare-sort $$unsorted 0) % 15.40/15.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.67 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.40/15.67 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.67 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.67 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.67 (define @t3 () (tptp.in @t2 @t1)) % 15.40/15.67 (define @t4 () (@list @t1 @t2)) % 15.40/15.67 (define @t5 () (@var "C" $$unsorted)) % 15.40/15.67 (define @t6 () (tptp.in @t5 @t2)) % 15.40/15.67 (define @t7 () (= @t6 (= @t5 @t1))) % 15.40/15.67 (define @t8 () (@list @t5)) % 15.40/15.67 (define @t9 () (forall @t8 @t7)) % 15.40/15.67 (define @t10 () (tptp.singleton @t1)) % 15.40/15.67 (define @t11 () (= @t2 @t10)) % 15.40/15.67 (define @t12 () (= @t11 @t9)) % 15.40/15.67 (define @t13 () (forall @t4 @t12)) % 15.40/15.67 (define @t14 () (tptp.singleton @t2)) % 15.40/15.67 (define @t15 () (tptp.set_intersection2 @t1 @t14)) % 15.40/15.67 (define @t16 () (=> (= @t15 @t14) @t3)) % 15.40/15.67 (define @t17 () (forall @t4 @t16)) % 15.40/15.67 (define @t18 () (tptp.empty @t1)) % 15.40/15.67 (define @t19 () (@list @t1)) % 15.40/15.67 (define @t20 () (= @t1 @t2)) % 15.40/15.67 (define @t21 () (tptp.set_intersection2 @t10 @t14)) % 15.40/15.67 (define @t22 () (=> (= @t21 @t10) @t20)) % 15.40/15.67 (define @t23 () (forall @t4 @t22)) % 15.40/15.67 (define @t24 () (not @t23)) % 15.40/15.67 (define @t25 () (= @t10 @t21)) % 15.40/15.67 (define @t26 () (forall @t4 (or (not @t25) @t20))) % 15.40/15.67 (define @t27 () (@quantifiers_skolemize @t26 1)) % 15.40/15.67 (define @t28 () (tptp.singleton @t27)) % 15.40/15.67 (define @t29 () (tptp.in @t5 @t28)) % 15.40/15.67 (define @t30 () (forall @t8 (= (= @t5 @t27) @t29))) % 15.40/15.67 (define @t31 () (= @t27 @t5)) % 15.40/15.67 (define @t32 () (forall @t8 (= @t29 @t31))) % 15.40/15.67 (define @t33 () (= (= @t28 @t28) @t32)) % 15.40/15.67 (define @t34 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.40/15.67 (define @t35 () (= @t14 @t15)) % 15.40/15.67 (define @t36 () (@quantifiers_skolemize @t26 0)) % 15.40/15.67 (define @t37 () (tptp.singleton @t36)) % 15.40/15.67 (define @t38 () (= @t37 (tptp.set_intersection2 @t37 @t28))) % 15.40/15.67 (define @t39 () (= @t36 @t27)) % 15.40/15.67 (define @t40 () (not @t38)) % 15.40/15.67 (define @t41 () (or @t40 @t39)) % 15.40/15.67 (define @t42 () (@list true)) % 15.40/15.67 (define @t43 () (@list @t41)) % 15.40/15.67 (define @t44 () (tptp.in @t36 @t28)) % 15.40/15.67 (define @t45 () (= @t37 (tptp.set_intersection2 @t28 @t37))) % 15.40/15.67 (define @t46 () (not @t45)) % 15.40/15.67 (define @t47 () (or @t46 @t44)) % 15.40/15.67 (define @t48 () (= @t39 @t44)) % 15.40/15.67 (define @t49 () (not @t48)) % 15.40/15.67 (define @t50 () (@list true false)) % 15.40/15.67 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) (not @t3)))) % 15.40/15.67 (assume @p2 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 15.40/15.67 (assume @p3 @t13) % 15.40/15.67 (assume @p4 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.40/15.67 (assume @p5 @t17) % 15.40/15.67 (assume @p6 (exists @t19 @t18)) % 15.40/15.67 (assume @p7 (exists @t19 (not @t18))) % 15.40/15.67 (assume @p8 @t24) % 15.40/15.67 (assume @p9 true) % 15.40/15.67 (step @p10 :rule eq-symm :args (@t5 @t1)) % 15.40/15.67 (step @p11 :rule refl :args (@t6)) % 15.40/15.67 (step @p12 :rule cong :premises (@p11 @p10) :args (@t7)) % 15.40/15.67 (step @p13 :rule cong :premises (@p12) :args (@t9)) % 15.40/15.67 (step @p14 :rule refl :args (@t11)) % 15.40/15.67 (step @p15 :rule cong :premises (@p14 @p13) :args (@t12)) % 15.40/15.67 (step @p16 :rule cong :premises (@p15) :args (@t13)) % 15.40/15.67 (step @p17 :rule eq_resolve :premises (@p3 @p16)) % 15.40/15.67 (step @p18 :rule bool-eq-true :args (@t30)) % 15.40/15.67 (step @p19 :rule eq-symm :args (true @t30)) % 15.40/15.67 (step @p20 :rule trans :premises (@p19 @p18)) % 15.40/15.67 (step @p21 :rule refl :args (@t29)) % 15.40/15.67 (step @p22 :rule eq-symm :args (@t27 @t5)) % 15.40/15.67 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t31 @t29))) % 15.40/15.67 (step @p24 :rule eq-symm :args (@t29 @t31)) % 15.40/15.67 (step @p25 :rule trans :premises (@p24 @p23)) % 15.40/15.67 (step @p26 :rule cong :premises (@p25) :args (@t32)) % 15.40/15.67 (step @p27 :rule eq-refl :args (@t28)) % 15.40/15.67 (step @p28 :rule cong :premises (@p27 @p26) :args (@t33)) % 15.40/15.67 (step @p29 :rule trans :premises (@p28 @p20)) % 15.40/15.67 (step @p30 :rule refl :args (@t34)) % 15.40/15.67 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t34 @t33))) % 15.40/15.67 (assume-push @p81 @t34) % 15.40/15.67 (step @p33 :rule instantiate :premises (@p17) :args ((@list @t27 @t28))) % 15.40/15.67 (step-pop @p82 :rule scope :premises (@p33)) % 15.40/15.67 (step @p34 :rule process_scope :premises (@p82) :args (@t33)) % 15.40/15.67 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 15.40/15.67 (step @p37 :rule implies_elim :premises (@p36)) % 15.40/15.67 (step @p38 :rule chain_m_resolution :premises (@p37 @p17) :args (@t30 (@list false) (@list @t34))) % 15.40/15.67 (step @p39 :rule bool-impl-elim :args (@t35 @t3)) % 15.40/15.67 (step @p40 :rule cong :premises (@p39) :args ((forall @t4 (=> @t35 @t3)))) % 15.40/15.67 (step @p41 :rule refl :args (@t3)) % 15.40/15.67 (step @p42 :rule eq-symm :args (@t15 @t14)) % 15.40/15.67 (step @p43 :rule cong :premises (@p42 @p41) :args (@t16)) % 15.40/15.67 (step @p44 :rule cong :premises (@p43) :args (@t17)) % 15.40/15.67 (step @p45 :rule trans :premises (@p44 @p40)) % 15.40/15.67 (step @p46 :rule eq_resolve :premises (@p5 @p45)) % 15.40/15.67 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t28 @t36))) % 15.40/15.67 (step @p48 :rule instantiate :premises (@p2) :args ((@list @t37 @t28))) % 15.40/15.67 (step @p49 :rule bool-impl-elim :args (@t25 @t20)) % 15.40/15.67 (step @p50 :rule cong :premises (@p49) :args ((forall @t4 (=> @t25 @t20)))) % 15.40/15.67 (step @p51 :rule refl :args (@t20)) % 15.40/15.67 (step @p52 :rule eq-symm :args (@t21 @t10)) % 15.40/15.67 (step @p53 :rule cong :premises (@p52 @p51) :args (@t22)) % 15.40/15.67 (step @p54 :rule cong :premises (@p53) :args (@t23)) % 15.40/15.67 (step @p55 :rule trans :premises (@p54 @p50)) % 15.40/15.67 (step @p56 :rule cong :premises (@p55) :args (@t24)) % 15.40/15.67 (step @p57 :rule eq_resolve :premises (@p8 @p56)) % 15.40/15.67 (step @p58 :rule skolemize :premises (@p57)) % 15.40/15.67 (step @p59 :rule bool-double-not-elim :args (@t38)) % 15.40/15.67 (step @p60 :rule refl :args (@t41)) % 15.40/15.67 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t41 (not @t40)))) % 15.40/15.67 (step @p62 :rule cnf_or_neg :args (@t41 0)) % 15.40/15.67 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 15.40/15.67 (step @p64 :rule reordering :premises (@p63) :args ((or @t38 @t41))) % 15.40/15.67 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t38 @t42 @t43)) % 15.40/15.67 (step @p66 :rule trans :premises (@p65 @p48)) % 15.40/15.67 (step @p67 :rule cnf_or_pos :args (@t47)) % 15.40/15.67 (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t46 (not @t47)))) % 15.40/15.67 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p47) :args (@t44 (@list false false) (@list @t45 @t47))) % 15.40/15.67 (step @p70 :rule cnf_or_neg :args (@t41 1)) % 15.40/15.67 (step @p71 :rule chain_m_resolution :premises (@p70 @p58) :args ((not @t39) @t42 @t43)) % 15.40/15.67 (step @p72 :rule cnf_equiv_pos2 :args (@t48)) % 15.40/15.67 (step @p73 :rule reordering :premises (@p72) :args ((or @t39 (not @t44) @t49))) % 15.40/15.67 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p69) :args (@t49 @t50 (@list @t39 @t44))) % 15.40/15.67 (assume-push @p83 @t30) % 15.40/15.67 (step @p76 :rule instantiate :premises (@p38) :args ((@list @t36))) % 15.40/15.67 (step-pop @p84 :rule scope :premises (@p76)) % 15.40/15.67 (step @p77 :rule process_scope :premises (@p84) :args (@t48)) % 15.40/15.67 (step @p79 :rule implies_elim :premises (@p77)) % 15.40/15.67 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p38) :args (false @t50 (@list @t48 @t30))) % 15.40/15.67 ) % 15.40/15.67 % SZS output end Proof % 15.40/15.67 % cvc5 exiting %------------------------------------------------------------------------------