%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET618+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 : n012.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 08:48:15 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SET618+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.26 % Computer : n012.cluster.edu % 0.09/0.26 % Model : x86_64 x86_64 % 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.26 % Memory : 8042.1875MB % 0.09/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.26 % CPULimit : 300 % 0.09/0.26 % WCLimit : 300 % 0.09/0.26 % DateTime : Tue Jun 2 16:05:03 EDT 2026 % 0.09/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.empty_set $$unsorted) % 0.16/0.37 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.37 (define @t2 () (@var "C" $$unsorted)) % 0.16/0.37 (define @t3 () (tptp.symmetric_difference @t1 @t2)) % 0.16/0.37 (define @t4 () (@list @t1 @t2)) % 0.16/0.37 (define @t5 () (tptp.union @t1 @t1)) % 0.16/0.37 (define @t6 () (@list @t1)) % 0.16/0.37 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.16/0.37 (define @t8 () (tptp.difference @t1 @t1)) % 0.16/0.37 (define @t9 () (forall @t6 (= @t8 tptp.empty_set))) % 0.16/0.37 (define @t10 () (tptp.subset @t1 @t2)) % 0.16/0.37 (define @t11 () (= @t1 @t2)) % 0.16/0.37 (define @t12 () (@var "D" $$unsorted)) % 0.16/0.37 (define @t13 () (tptp.member @t12 @t2)) % 0.16/0.37 (define @t14 () (tptp.member @t12 @t1)) % 0.16/0.37 (define @t15 () (@list @t12)) % 0.16/0.37 (define @t16 () (tptp.symmetric_difference @t1 @t1)) % 0.16/0.37 (define @t17 () (forall @t6 (= @t16 tptp.empty_set))) % 0.16/0.37 (define @t18 () (not @t17)) % 0.16/0.37 (define @t19 () (@quantifiers_skolemize (forall @t6 (= tptp.empty_set @t16)) 0)) % 0.16/0.37 (define @t20 () (tptp.difference @t19 @t19)) % 0.16/0.37 (define @t21 () (= tptp.empty_set @t20)) % 0.16/0.37 (define @t22 () (not @t21)) % 0.16/0.37 (define @t23 () (tptp.union @t20 @t20)) % 0.16/0.37 (define @t24 () (= @t20 @t23)) % 0.16/0.37 (define @t25 () (not @t24)) % 0.16/0.37 (define @t26 () (tptp.symmetric_difference @t19 @t19)) % 0.16/0.37 (define @t27 () (= @t26 @t23)) % 0.16/0.37 (define @t28 () (not @t27)) % 0.16/0.37 (define @t29 () (= tptp.empty_set @t26)) % 0.16/0.37 (define @t30 () (not @t29)) % 0.16/0.37 (define @t31 () (and @t30 @t27 @t24)) % 0.16/0.37 (assume @p1 (forall @t4 (= @t3 (tptp.union (tptp.difference @t1 @t2) (tptp.difference @t2 @t1))))) % 0.16/0.37 (assume @p2 @t7) % 0.16/0.37 (assume @p3 @t9) % 0.16/0.37 (assume @p4 (forall @t6 (not (tptp.member @t1 tptp.empty_set)))) % 0.16/0.37 (assume @p5 (forall @t4 (= @t11 (and @t10 (tptp.subset @t2 @t1))))) % 0.16/0.37 (assume @p6 (forall @t4 (= (tptp.union @t1 @t2) (tptp.union @t2 @t1)))) % 0.16/0.37 (assume @p7 (forall @t4 (= @t3 (tptp.symmetric_difference @t2 @t1)))) % 0.16/0.37 (assume @p8 (forall @t4 (= @t11 (forall @t15 (= @t14 @t13))))) % 0.16/0.37 (assume @p9 (forall @t4 (= @t10 (forall @t15 (=> @t14 @t13))))) % 0.16/0.37 (assume @p10 (forall @t6 (tptp.subset @t1 @t1))) % 0.16/0.37 (assume @p11 (forall @t6 (= (tptp.empty @t1) (forall (@list @t2) (not (tptp.member @t2 @t1)))))) % 0.16/0.37 (assume @p12 @t18) % 0.16/0.37 (assume @p13 true) % 0.16/0.37 (step @p14 :rule eq-symm :args (@t16 tptp.empty_set)) % 0.16/0.37 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.16/0.37 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.16/0.37 (step @p17 :rule eq_resolve :premises (@p12 @p16)) % 0.16/0.37 (step @p18 :rule skolemize :premises (@p17)) % 0.16/0.37 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t19 @t19))) % 0.16/0.37 (step @p20 :rule eq-symm :args (@t5 @t1)) % 0.16/0.37 (step @p21 :rule cong :premises (@p20) :args (@t7)) % 0.16/0.37 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.16/0.37 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t20))) % 0.16/0.37 (step @p24 :rule eq-symm :args (@t8 tptp.empty_set)) % 0.16/0.37 (step @p25 :rule cong :premises (@p24) :args (@t9)) % 0.16/0.37 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 0.16/0.37 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t19))) % 0.16/0.37 (step @p28 :rule refl :args (@t22)) % 0.16/0.37 (step @p29 :rule refl :args (@t25)) % 0.16/0.37 (step @p30 :rule refl :args (@t28)) % 0.16/0.37 (step @p31 :rule bool-double-not-elim :args (@t29)) % 0.16/0.37 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29 @p28) :args ((or (not @t30) @t28 @t25 @t22))) % 0.16/0.37 (assume-push @p52 @t30) % 0.16/0.37 (assume-push @p53 @t27) % 0.16/0.37 (assume-push @p54 @t24) % 0.16/0.37 (step @p36 :rule false_intro :premises (@p18)) % 0.16/0.37 (step @p37 :rule symm :premises (@p19)) % 0.16/0.37 (step @p38 :rule trans :premises (@p23 @p37)) % 0.16/0.37 (step @p39 :rule refl :args (tptp.empty_set)) % 0.16/0.37 (step @p40 :rule cong :premises (@p39 @p38) :args (@t21)) % 0.16/0.37 (step @p41 :rule trans :premises (@p40 @p36)) % 0.16/0.37 (step @p42 :rule false_elim :premises (@p41)) % 0.16/0.37 (step-pop @p55 :rule scope :premises (@p42)) % 0.16/0.37 (step-pop @p56 :rule scope :premises (@p55)) % 0.16/0.37 (step-pop @p57 :rule scope :premises (@p56)) % 0.16/0.37 (step @p43 :rule process_scope :premises (@p57) :args (@t22)) % 0.16/0.37 (step @p47 :rule implies_elim :premises (@p43)) % 0.16/0.37 (step @p48 :rule cnf_and_neg :args (@t31)) % 0.16/0.37 (step @p49 :rule resolution :premises (@p48 @p47) :args (true @t31)) % 0.16/0.37 (step @p50 :rule eq_resolve :premises (@p49 @p32)) % 0.16/0.37 (step @p51 false :rule chain_m_resolution :premises (@p50 @p27 @p23 @p19 @p18) :args (false (@list false false false true) (@list @t21 @t24 @t27 @t29))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------