%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET635+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:48:19 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET635+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:05:37 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.intersection @t1 @t2)) % 0.37/0.58 (define @t4 () (@list @t1 @t2)) % 0.37/0.58 (define @t5 () (tptp.subset @t1 @t2)) % 0.37/0.58 (define @t6 () (tptp.difference @t1 @t2)) % 0.37/0.58 (define @t7 () (= (= @t6 tptp.empty_set) @t5)) % 0.37/0.58 (define @t8 () (forall @t4 @t7)) % 0.37/0.58 (define @t9 () (tptp.union @t1 tptp.empty_set)) % 0.37/0.58 (define @t10 () (@list @t1)) % 0.37/0.58 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.37/0.58 (define @t12 () (@var "D" $$unsorted)) % 0.37/0.58 (define @t13 () (@list @t1 @t2 @t12)) % 0.37/0.58 (define @t14 () (tptp.intersection @t1 (tptp.difference @t2 @t12))) % 0.37/0.58 (define @t15 () (tptp.member @t12 @t2)) % 0.37/0.58 (define @t16 () (tptp.member @t12 @t1)) % 0.37/0.58 (define @t17 () (= @t1 @t2)) % 0.37/0.58 (define @t18 () (@list @t12)) % 0.37/0.58 (define @t19 () (forall @t13 (= @t14 (tptp.difference @t3 (tptp.intersection @t1 @t12))))) % 0.37/0.58 (define @t20 () (@quantifiers_skolemize @t19 2)) % 0.37/0.58 (define @t21 () (@quantifiers_skolemize @t19 1)) % 0.37/0.58 (define @t22 () (@quantifiers_skolemize @t19 0)) % 0.37/0.58 (define @t23 () (tptp.intersection @t22 @t21)) % 0.37/0.58 (define @t24 () (tptp.difference @t23 @t22)) % 0.37/0.58 (define @t25 () (= tptp.empty_set @t24)) % 0.37/0.58 (define @t26 () (tptp.subset @t23 @t22)) % 0.37/0.58 (define @t27 () (= @t26 @t25)) % 0.37/0.58 (define @t28 () (tptp.difference @t23 @t20)) % 0.37/0.58 (define @t29 () (tptp.union @t28 tptp.empty_set)) % 0.37/0.58 (define @t30 () (= @t28 @t29)) % 0.37/0.58 (define @t31 () (not @t30)) % 0.37/0.58 (define @t32 () (tptp.intersection @t20 @t22)) % 0.37/0.58 (define @t33 () (tptp.difference @t23 @t32)) % 0.37/0.58 (define @t34 () (= @t33 (tptp.union @t28 @t24))) % 0.37/0.58 (define @t35 () (not @t34)) % 0.37/0.58 (define @t36 () (not @t25)) % 0.37/0.58 (define @t37 () (tptp.intersection @t22 @t20)) % 0.37/0.58 (define @t38 () (= @t37 @t32)) % 0.37/0.58 (define @t39 () (not @t38)) % 0.37/0.58 (define @t40 () (tptp.intersection @t22 (tptp.difference @t21 @t20))) % 0.37/0.58 (define @t41 () (= @t40 @t28)) % 0.37/0.58 (define @t42 () (not @t41)) % 0.37/0.58 (define @t43 () (= @t40 (tptp.difference @t23 @t37))) % 0.37/0.58 (define @t44 () (not @t43)) % 0.37/0.58 (define @t45 () (and @t31 @t30)) % 0.37/0.58 (assume @p1 (forall @t4 (tptp.subset @t3 @t1))) % 0.37/0.58 (assume @p2 @t8) % 0.37/0.58 (assume @p3 @t11) % 0.37/0.58 (assume @p4 (forall @t13 (= (tptp.difference @t1 (tptp.intersection @t2 @t12)) (tptp.union @t6 (tptp.difference @t1 @t12))))) % 0.37/0.58 (assume @p5 (forall @t13 (= @t14 (tptp.difference @t3 @t12)))) % 0.37/0.58 (assume @p6 (forall @t13 (= (tptp.member @t12 @t3) (and @t16 @t15)))) % 0.37/0.58 (assume @p7 (forall @t13 (= (tptp.member @t12 @t6) (and @t16 (not @t15))))) % 0.37/0.58 (assume @p8 (forall @t4 (= @t17 (and @t5 (tptp.subset @t2 @t1))))) % 0.37/0.58 (assume @p9 (forall @t4 (= (tptp.union @t1 @t2) (tptp.union @t2 @t1)))) % 0.37/0.58 (assume @p10 (forall @t10 (not (tptp.member @t1 tptp.empty_set)))) % 0.37/0.58 (assume @p11 (forall @t4 (= @t3 (tptp.intersection @t2 @t1)))) % 0.37/0.58 (assume @p12 (forall @t4 (= @t5 (forall @t18 (=> @t16 @t15))))) % 0.37/0.58 (assume @p13 (forall @t10 (tptp.subset @t1 @t1))) % 0.37/0.58 (assume @p14 (forall @t4 (= @t17 (forall @t18 (= @t16 @t15))))) % 0.37/0.58 (assume @p15 (forall @t10 (= (tptp.empty @t1) (forall (@list @t2) (not (tptp.member @t2 @t1)))))) % 0.37/0.58 (assume @p16 (not @t19)) % 0.37/0.58 (assume @p17 true) % 0.37/0.58 (step @p18 :rule skolemize :premises (@p16)) % 0.37/0.58 (step @p19 :rule instantiate :premises (@p5) :args ((@list @t22 @t21 @t20))) % 0.37/0.58 (step @p20 :rule instantiate :premises (@p11) :args ((@list @t22 @t20))) % 0.37/0.58 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t23 @t20 @t22))) % 0.37/0.58 (step @p22 :rule eq-symm :args ((= tptp.empty_set @t6) @t5)) % 0.37/0.58 (step @p23 :rule refl :args (@t5)) % 0.37/0.58 (step @p24 :rule eq-symm :args (@t6 tptp.empty_set)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24 @p23) :args (@t7)) % 0.37/0.58 (step @p26 :rule trans :premises (@p25 @p22)) % 0.37/0.58 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 0.37/0.58 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 0.37/0.58 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t23 @t22))) % 0.37/0.58 (step @p30 :rule instantiate :premises (@p1) :args ((@list @t22 @t21))) % 0.37/0.58 (step @p31 :rule cnf_equiv_pos1 :args (@t27)) % 0.37/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or (not @t26) @t25 (not @t27)))) % 0.37/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p29) :args (@t25 (@list false false) (@list @t26 @t27))) % 0.37/0.58 (step @p34 :rule eq-symm :args (@t9 @t1)) % 0.37/0.58 (step @p35 :rule cong :premises (@p34) :args (@t11)) % 0.37/0.58 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 0.37/0.58 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t28))) % 0.37/0.58 (step @p38 :rule refl :args (@t31)) % 0.37/0.58 (step @p39 :rule refl :args (@t35)) % 0.37/0.58 (step @p40 :rule refl :args (@t36)) % 0.37/0.58 (step @p41 :rule refl :args (@t39)) % 0.37/0.58 (step @p42 :rule refl :args (@t42)) % 0.37/0.58 (step @p43 :rule bool-double-not-elim :args (@t43)) % 0.37/0.58 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p40 @p39 @p38) :args ((or (not @t44) @t42 @t39 @t36 @t35 @t31))) % 0.37/0.58 (assume-push @p87 @t31) % 0.37/0.58 (assume-push @p88 @t30) % 0.37/0.58 (step @p47 :rule evaluate :args ((= false true))) % 0.37/0.58 (step @p48 :rule true_intro :premises (@p37)) % 0.37/0.58 (step @p49 :rule false_intro :premises (@p18)) % 0.37/0.58 (step @p50 :rule symm :premises (@p20)) % 0.37/0.58 (step @p51 :rule refl :args (@t23)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args (@t33)) % 0.37/0.58 (step @p53 :rule symm :premises (@p21)) % 0.37/0.58 (step @p54 :rule refl :args (@t28)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54 @p33) :args (@t29)) % 0.37/0.58 (step @p56 :rule trans :premises (@p55 @p53 @p52)) % 0.37/0.58 (step @p57 :rule symm :premises (@p19)) % 0.37/0.58 (step @p58 :rule cong :premises (@p57 @p56) :args (@t30)) % 0.37/0.58 (step @p59 :rule trans :premises (@p58 @p49)) % 0.37/0.58 (step @p60 :rule symm :premises (@p59)) % 0.37/0.58 (step @p61 :rule trans :premises (@p60 @p48)) % 0.37/0.58 (step @p62 false :rule eq_resolve :premises (@p61 @p47)) % 0.37/0.58 (step-pop @p89 :rule scope :premises (@p62)) % 0.37/0.58 (step-pop @p90 :rule scope :premises (@p89)) % 0.37/0.58 (step @p63 :rule process_scope :premises (@p90) :args (false)) % 0.37/0.58 (assume-push @p91 @t44) % 0.37/0.58 (assume-push @p92 @t41) % 0.37/0.58 (assume-push @p93 @t38) % 0.37/0.58 (assume-push @p94 @t25) % 0.37/0.58 (assume-push @p95 @t34) % 0.37/0.58 (assume-push @p96 @t30) % 0.37/0.58 (step @p49 :rule false_intro :premises (@p18)) % 0.37/0.58 (step @p50 :rule symm :premises (@p20)) % 0.37/0.58 (step @p51 :rule refl :args (@t23)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51 @p50) :args (@t33)) % 0.37/0.58 (step @p53 :rule symm :premises (@p21)) % 0.37/0.58 (step @p54 :rule refl :args (@t28)) % 0.37/0.58 (step @p55 :rule cong :premises (@p54 @p33) :args (@t29)) % 0.37/0.58 (step @p56 :rule trans :premises (@p55 @p53 @p52)) % 0.37/0.58 (step @p57 :rule symm :premises (@p19)) % 0.37/0.58 (step @p58 :rule cong :premises (@p57 @p56) :args (@t30)) % 0.37/0.58 (step @p72 :rule trans :premises (@p58 @p49)) % 0.37/0.58 (step @p73 :rule false_elim :premises (@p72)) % 0.37/0.58 (step @p74 :rule and_intro :premises (@p73 @p37)) % 0.37/0.58 (step-pop @p97 :rule scope :premises (@p74)) % 0.37/0.58 (step-pop @p98 :rule scope :premises (@p97)) % 0.37/0.58 (step-pop @p99 :rule scope :premises (@p98)) % 0.37/0.58 (step-pop @p100 :rule scope :premises (@p99)) % 0.37/0.58 (step-pop @p101 :rule scope :premises (@p100)) % 0.37/0.58 (step-pop @p102 :rule scope :premises (@p101)) % 0.37/0.58 (step @p75 :rule process_scope :premises (@p102) :args (@t45)) % 0.37/0.58 (step @p82 :rule implies_elim :premises (@p75)) % 0.37/0.58 (step @p83 :rule resolution :premises (@p82 @p63) :args (true @t45)) % 0.37/0.58 (step @p84 :rule not_and :premises (@p83)) % 0.37/0.58 (step @p85 :rule eq_resolve :premises (@p84 @p44)) % 0.37/0.58 (step @p86 false :rule chain_m_resolution :premises (@p85 @p37 @p33 @p21 @p20 @p19 @p18) :args (false (@list false false false false false true) (@list @t30 @t25 @t34 @t38 @t41 @t43))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------