%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET880+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 15.41s 15.62s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET880+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 16:17:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.41/15.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.62 % SZS status Theorem % 15.41/15.62 % SZS output start Proof % 15.41/15.62 ( % 15.41/15.62 (declare-sort $$unsorted 0) % 15.41/15.62 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.62 (declare-const tptp.empty_set $$unsorted) % 15.41/15.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.41/15.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.41/15.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.41/15.62 (define @t1 () (@var "A" $$unsorted)) % 15.41/15.62 (define @t2 () (@var "B" $$unsorted)) % 15.41/15.62 (define @t3 () (tptp.in @t1 @t2)) % 15.41/15.62 (define @t4 () (@list @t1 @t2)) % 15.41/15.62 (define @t5 () (@var "C" $$unsorted)) % 15.41/15.62 (define @t6 () (tptp.in @t5 @t2)) % 15.41/15.62 (define @t7 () (= @t6 (= @t5 @t1))) % 15.41/15.62 (define @t8 () (@list @t5)) % 15.41/15.62 (define @t9 () (forall @t8 @t7)) % 15.41/15.62 (define @t10 () (tptp.singleton @t1)) % 15.41/15.62 (define @t11 () (= @t2 @t10)) % 15.41/15.62 (define @t12 () (= @t11 @t9)) % 15.41/15.62 (define @t13 () (forall @t4 @t12)) % 15.41/15.62 (define @t14 () (tptp.set_difference @t10 @t2)) % 15.41/15.62 (define @t15 () (= @t14 tptp.empty_set)) % 15.41/15.62 (define @t16 () (forall @t4 (= @t15 @t3))) % 15.41/15.62 (define @t17 () (tptp.empty @t1)) % 15.41/15.62 (define @t18 () (@list @t1)) % 15.41/15.62 (define @t19 () (= @t1 @t2)) % 15.41/15.62 (define @t20 () (tptp.set_difference @t10 (tptp.singleton @t2))) % 15.41/15.62 (define @t21 () (=> (= @t20 tptp.empty_set) @t19)) % 15.41/15.62 (define @t22 () (forall @t4 @t21)) % 15.41/15.62 (define @t23 () (not @t22)) % 15.41/15.62 (define @t24 () (= tptp.empty_set @t20)) % 15.41/15.62 (define @t25 () (forall @t4 (or (not @t24) @t19))) % 15.41/15.62 (define @t26 () (@quantifiers_skolemize @t25 1)) % 15.41/15.62 (define @t27 () (tptp.singleton @t26)) % 15.41/15.62 (define @t28 () (tptp.in @t5 @t27)) % 15.41/15.62 (define @t29 () (forall @t8 (= (= @t5 @t26) @t28))) % 15.41/15.62 (define @t30 () (= @t26 @t5)) % 15.41/15.62 (define @t31 () (forall @t8 (= @t28 @t30))) % 15.41/15.62 (define @t32 () (= (= @t27 @t27) @t31)) % 15.41/15.62 (define @t33 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.41/15.62 (define @t34 () (@list false)) % 15.41/15.62 (define @t35 () (@quantifiers_skolemize @t25 0)) % 15.41/15.62 (define @t36 () (tptp.in @t35 @t27)) % 15.41/15.62 (define @t37 () (= tptp.empty_set (tptp.set_difference (tptp.singleton @t35) @t27))) % 15.41/15.62 (define @t38 () (forall @t4 (= @t3 (= tptp.empty_set @t14)))) % 15.41/15.62 (define @t39 () (= @t36 @t37)) % 15.41/15.62 (define @t40 () (= @t37 @t36)) % 15.41/15.62 (define @t41 () (= @t35 @t26)) % 15.41/15.62 (define @t42 () (not @t37)) % 15.41/15.62 (define @t43 () (or @t42 @t41)) % 15.41/15.62 (define @t44 () (@list true)) % 15.41/15.62 (define @t45 () (@list @t43)) % 15.41/15.62 (define @t46 () (= @t41 @t36)) % 15.41/15.62 (define @t47 () (not @t46)) % 15.41/15.62 (define @t48 () (@list true false)) % 15.41/15.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.41/15.62 (assume @p2 @t13) % 15.41/15.62 (assume @p3 (tptp.empty tptp.empty_set)) % 15.41/15.62 (assume @p4 @t16) % 15.41/15.62 (assume @p5 (exists @t18 @t17)) % 15.41/15.62 (assume @p6 (exists @t18 (not @t17))) % 15.41/15.62 (assume @p7 @t23) % 15.41/15.62 (assume @p8 true) % 15.41/15.62 (step @p9 :rule eq-symm :args (@t5 @t1)) % 15.41/15.62 (step @p10 :rule refl :args (@t6)) % 15.41/15.62 (step @p11 :rule cong :premises (@p10 @p9) :args (@t7)) % 15.41/15.62 (step @p12 :rule cong :premises (@p11) :args (@t9)) % 15.41/15.62 (step @p13 :rule refl :args (@t11)) % 15.41/15.62 (step @p14 :rule cong :premises (@p13 @p12) :args (@t12)) % 15.41/15.62 (step @p15 :rule cong :premises (@p14) :args (@t13)) % 15.41/15.62 (step @p16 :rule eq_resolve :premises (@p2 @p15)) % 15.41/15.62 (step @p17 :rule bool-eq-true :args (@t29)) % 15.41/15.62 (step @p18 :rule eq-symm :args (true @t29)) % 15.41/15.62 (step @p19 :rule trans :premises (@p18 @p17)) % 15.41/15.62 (step @p20 :rule refl :args (@t28)) % 15.41/15.62 (step @p21 :rule eq-symm :args (@t26 @t5)) % 15.41/15.62 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t30 @t28))) % 15.41/15.62 (step @p23 :rule eq-symm :args (@t28 @t30)) % 15.41/15.62 (step @p24 :rule trans :premises (@p23 @p22)) % 15.41/15.62 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 15.41/15.62 (step @p26 :rule eq-refl :args (@t27)) % 15.41/15.62 (step @p27 :rule cong :premises (@p26 @p25) :args (@t32)) % 15.41/15.62 (step @p28 :rule trans :premises (@p27 @p19)) % 15.41/15.62 (step @p29 :rule refl :args (@t33)) % 15.41/15.62 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t33 @t32))) % 15.41/15.62 (assume-push @p86 @t33) % 15.41/15.62 (step @p32 :rule instantiate :premises (@p16) :args ((@list @t26 @t27))) % 15.41/15.62 (step-pop @p87 :rule scope :premises (@p32)) % 15.41/15.62 (step @p33 :rule process_scope :premises (@p87) :args (@t32)) % 15.41/15.62 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 15.41/15.62 (step @p36 :rule implies_elim :premises (@p35)) % 15.41/15.62 (step @p37 :rule chain_m_resolution :premises (@p36 @p16) :args (@t29 @t34 (@list @t33))) % 15.41/15.62 (step @p38 :rule eq-symm :args (@t14 tptp.empty_set)) % 15.41/15.62 (step @p39 :rule refl :args (@t3)) % 15.41/15.62 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t3 @t15))) % 15.41/15.62 (step @p41 :rule eq-symm :args (@t15 @t3)) % 15.41/15.62 (step @p42 :rule trans :premises (@p41 @p40)) % 15.41/15.62 (step @p43 :rule cong :premises (@p42) :args (@t16)) % 15.41/15.62 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 15.41/15.62 (step @p45 :rule eq-symm :args (@t36 @t37)) % 15.41/15.62 (step @p46 :rule refl :args (@t38)) % 15.41/15.62 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t38 @t39))) % 15.41/15.62 (assume-push @p88 @t38) % 15.41/15.62 (step @p49 :rule instantiate :premises (@p44) :args ((@list @t35 @t27))) % 15.41/15.62 (step-pop @p89 :rule scope :premises (@p49)) % 15.41/15.62 (step @p50 :rule process_scope :premises (@p89) :args (@t39)) % 15.41/15.62 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 15.41/15.62 (step @p53 :rule implies_elim :premises (@p52)) % 15.41/15.62 (step @p54 :rule chain_m_resolution :premises (@p53 @p44) :args (@t40 @t34 (@list @t38))) % 15.41/15.62 (step @p55 :rule bool-impl-elim :args (@t24 @t19)) % 15.41/15.62 (step @p56 :rule cong :premises (@p55) :args ((forall @t4 (=> @t24 @t19)))) % 15.41/15.62 (step @p57 :rule refl :args (@t19)) % 15.41/15.62 (step @p58 :rule eq-symm :args (@t20 tptp.empty_set)) % 15.41/15.62 (step @p59 :rule cong :premises (@p58 @p57) :args (@t21)) % 15.41/15.62 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 15.41/15.62 (step @p61 :rule trans :premises (@p60 @p56)) % 15.41/15.62 (step @p62 :rule cong :premises (@p61) :args (@t23)) % 15.41/15.62 (step @p63 :rule eq_resolve :premises (@p7 @p62)) % 15.41/15.62 (step @p64 :rule skolemize :premises (@p63)) % 15.41/15.62 (step @p65 :rule bool-double-not-elim :args (@t37)) % 15.41/15.62 (step @p66 :rule refl :args (@t43)) % 15.41/15.62 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t43 (not @t42)))) % 15.41/15.62 (step @p68 :rule cnf_or_neg :args (@t43 0)) % 15.41/15.62 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 15.41/15.62 (step @p70 :rule reordering :premises (@p69) :args ((or @t37 @t43))) % 15.41/15.62 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t37 @t44 @t45)) % 15.41/15.62 (step @p72 :rule cnf_equiv_pos1 :args (@t40)) % 15.41/15.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t42 @t36 (not @t40)))) % 15.41/15.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p54) :args (@t36 (@list false false) (@list @t37 @t40))) % 15.41/15.62 (step @p75 :rule cnf_or_neg :args (@t43 1)) % 15.41/15.62 (step @p76 :rule chain_m_resolution :premises (@p75 @p64) :args ((not @t41) @t44 @t45)) % 15.41/15.62 (step @p77 :rule cnf_equiv_pos2 :args (@t46)) % 15.41/15.62 (step @p78 :rule reordering :premises (@p77) :args ((or @t41 (not @t36) @t47))) % 15.41/15.62 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74) :args (@t47 @t48 (@list @t41 @t36))) % 15.41/15.62 (assume-push @p90 @t29) % 15.41/15.62 (step @p81 :rule instantiate :premises (@p37) :args ((@list @t35))) % 15.41/15.62 (step-pop @p91 :rule scope :premises (@p81)) % 15.41/15.62 (step @p82 :rule process_scope :premises (@p91) :args (@t46)) % 15.41/15.62 (step @p84 :rule implies_elim :premises (@p82)) % 15.41/15.62 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p37) :args (false @t48 (@list @t46 @t29))) % 15.41/15.62 ) % 15.41/15.62 % SZS output end Proof % 15.41/15.62 % cvc5 exiting %------------------------------------------------------------------------------