%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU122+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:50:37 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU122+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 16:30:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.empty_set $$unsorted) % 0.32/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.32/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.32/0.55 (define @t3 () (tptp.in @t1 @t2)) % 0.32/0.55 (define @t4 () (@list @t1 @t2)) % 0.32/0.55 (define @t5 () (@var "C" $$unsorted)) % 0.32/0.55 (define @t6 () (tptp.in @t5 @t2)) % 0.32/0.55 (define @t7 () (tptp.in @t5 @t1)) % 0.32/0.55 (define @t8 () (@list @t5)) % 0.32/0.55 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.32/0.55 (define @t10 () (tptp.subset @t1 @t2)) % 0.32/0.55 (define @t11 () (= @t10 @t9)) % 0.32/0.55 (define @t12 () (forall @t4 @t11)) % 0.32/0.55 (define @t13 () (tptp.empty tptp.empty_set)) % 0.32/0.55 (define @t14 () (tptp.empty @t1)) % 0.32/0.55 (define @t15 () (@list @t1)) % 0.32/0.55 (define @t16 () (forall @t15 (tptp.subset tptp.empty_set @t1))) % 0.32/0.55 (define @t17 () (tptp.empty @t2)) % 0.32/0.55 (define @t18 () (forall @t4 (not (and @t3 @t17)))) % 0.32/0.55 (define @t19 () (@quantifiers_skolemize @t16 0)) % 0.32/0.55 (define @t20 () (forall @t8 (or (not (tptp.in @t5 tptp.empty_set)) (tptp.in @t5 @t19)))) % 0.32/0.55 (define @t21 () (tptp.subset tptp.empty_set @t19)) % 0.32/0.55 (define @t22 () (= @t21 @t20)) % 0.32/0.55 (define @t23 () (not @t20)) % 0.32/0.55 (define @t24 () (@list true false)) % 0.32/0.55 (define @t25 () (@quantifiers_skolemize @t20 0)) % 0.32/0.55 (define @t26 () (tptp.in @t25 tptp.empty_set)) % 0.32/0.55 (define @t27 () (not @t26)) % 0.32/0.55 (define @t28 () (or @t27 (tptp.in @t25 @t19))) % 0.32/0.55 (define @t29 () (not @t13)) % 0.32/0.55 (define @t30 () (or @t27 @t29)) % 0.32/0.55 (define @t31 () (not @t30)) % 0.32/0.55 (define @t32 () (forall @t4 (or (not @t3) (not @t17)))) % 0.32/0.55 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.32/0.55 (assume @p2 @t12) % 0.32/0.55 (assume @p3 true) % 0.32/0.55 (assume @p4 @t13) % 0.32/0.55 (assume @p5 (exists @t15 @t14)) % 0.32/0.55 (assume @p6 (exists @t15 (not @t14))) % 0.32/0.55 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 0.32/0.55 (assume @p8 (not @t16)) % 0.32/0.55 (assume @p9 (forall @t15 (=> @t14 (= @t1 tptp.empty_set)))) % 0.32/0.55 (assume @p10 @t18) % 0.32/0.55 (assume @p11 (forall @t4 (not (and @t14 (not (= @t1 @t2)) @t17)))) % 0.32/0.55 (step @p12 :rule bool-and-de-morgan :args (@t3 @t17 true)) % 0.32/0.55 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 0.32/0.55 (step @p14 :rule eq_resolve :premises (@p10 @p13)) % 0.32/0.55 (step @p15 :rule bool-impl-elim :args (@t7 @t6)) % 0.32/0.55 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.32/0.55 (step @p17 :rule refl :args (@t10)) % 0.32/0.55 (step @p18 :rule cong :premises (@p17 @p16) :args (@t11)) % 0.32/0.55 (step @p19 :rule cong :premises (@p18) :args (@t12)) % 0.32/0.55 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 0.32/0.55 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.empty_set @t19))) % 0.32/0.55 (step @p22 :rule skolemize :premises (@p8)) % 0.32/0.55 (step @p23 :rule cnf_equiv_pos2 :args (@t22)) % 0.32/0.55 (step @p24 :rule reordering :premises (@p23) :args ((or @t21 @t23 (not @t22)))) % 0.32/0.55 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p21) :args (@t23 @t24 (@list @t21 @t22))) % 0.32/0.55 (step @p26 :rule skolemize :premises (@p25)) % 0.32/0.55 (step @p27 :rule bool-double-not-elim :args (@t26)) % 0.32/0.55 (step @p28 :rule refl :args (@t28)) % 0.32/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t28 (not @t27)))) % 0.32/0.55 (step @p30 :rule cnf_or_neg :args (@t28 0)) % 0.32/0.55 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.32/0.55 (step @p32 :rule reordering :premises (@p31) :args ((or @t26 @t28))) % 0.32/0.55 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t26 (@list true) (@list @t28))) % 0.32/0.55 (step @p34 :rule cnf_or_pos :args (@t30)) % 0.32/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t29 @t27 @t31))) % 0.32/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p4 @p33) :args (@t31 (@list false false) (@list @t13 @t26))) % 0.32/0.55 (assume-push @p43 @t32) % 0.32/0.55 (step @p38 :rule instantiate :premises (@p14) :args ((@list @t25 tptp.empty_set))) % 0.32/0.55 (step-pop @p44 :rule scope :premises (@p38)) % 0.32/0.55 (step @p39 :rule process_scope :premises (@p44) :args (@t30)) % 0.32/0.55 (step @p41 :rule implies_elim :premises (@p39)) % 0.32/0.55 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p14) :args (false @t24 (@list @t30 @t32))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------