%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU152+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 : 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 08:50:44 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU152+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.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 16:32:37 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.56 (define @t4 () (@list @t1 @t2)) % 0.38/0.56 (define @t5 () (tptp.set_union2 @t1 @t2)) % 0.38/0.56 (define @t6 () (tptp.singleton @t1)) % 0.38/0.56 (define @t7 () (tptp.set_union2 @t6 @t2)) % 0.38/0.56 (define @t8 () (=> @t3 (= @t7 @t2))) % 0.38/0.56 (define @t9 () (forall @t4 @t8)) % 0.38/0.56 (define @t10 () (not @t9)) % 0.38/0.56 (define @t11 () (tptp.subset @t6 @t2)) % 0.38/0.56 (define @t12 () (forall @t4 (= @t11 @t3))) % 0.38/0.56 (define @t13 () (tptp.subset @t1 @t2)) % 0.38/0.56 (define @t14 () (=> @t13 (= @t5 @t2))) % 0.38/0.56 (define @t15 () (forall @t4 @t14)) % 0.38/0.56 (define @t16 () (= @t2 @t7)) % 0.38/0.56 (define @t17 () (forall @t4 (or (not @t3) @t16))) % 0.38/0.56 (define @t18 () (@quantifiers_skolemize @t17 1)) % 0.38/0.56 (define @t19 () (@quantifiers_skolemize @t17 0)) % 0.38/0.56 (define @t20 () (tptp.singleton @t19)) % 0.38/0.56 (define @t21 () (= @t18 (tptp.set_union2 @t20 @t18))) % 0.38/0.56 (define @t22 () (tptp.in @t19 @t18)) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (or @t23 @t21)) % 0.38/0.56 (define @t25 () (@list true)) % 0.38/0.56 (define @t26 () (@list @t24)) % 0.38/0.56 (define @t27 () (= @t2 @t5)) % 0.38/0.56 (define @t28 () (tptp.subset @t20 @t18)) % 0.38/0.56 (define @t29 () (= @t22 @t28)) % 0.38/0.56 (define @t30 () (not @t28)) % 0.38/0.56 (define @t31 () (or @t30 @t21)) % 0.38/0.56 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.56 (assume @p2 (forall @t4 (= @t5 (tptp.set_union2 @t2 @t1)))) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (assume @p4 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/0.56 (assume @p5 @t10) % 0.38/0.56 (assume @p6 @t12) % 0.38/0.56 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.56 (assume @p8 @t15) % 0.38/0.56 (step @p9 :rule bool-impl-elim :args (@t3 @t16)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t4 (=> @t3 @t16)))) % 0.38/0.56 (step @p11 :rule eq-symm :args (@t7 @t2)) % 0.38/0.56 (step @p12 :rule refl :args (@t3)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args (@t8)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p10)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.38/0.56 (step @p17 :rule eq_resolve :premises (@p5 @p16)) % 0.38/0.56 (step @p18 :rule skolemize :premises (@p17)) % 0.38/0.56 (step @p19 :rule cnf_or_neg :args (@t24 1)) % 0.38/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p18) :args ((not @t21) @t25 @t26)) % 0.38/0.56 (step @p21 :rule bool-impl-elim :args (@t13 @t27)) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t4 (=> @t13 @t27)))) % 0.38/0.56 (step @p23 :rule eq-symm :args (@t5 @t2)) % 0.38/0.56 (step @p24 :rule refl :args (@t13)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args (@t14)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p22)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p8 @p27)) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t20 @t18))) % 0.38/0.56 (step @p30 :rule eq-symm :args (@t11 @t3)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 0.38/0.56 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t19 @t18))) % 0.38/0.56 (step @p34 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p35 :rule refl :args (@t24)) % 0.38/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t24 (not @t23)))) % 0.38/0.56 (step @p37 :rule cnf_or_neg :args (@t24 0)) % 0.38/0.56 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.38/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t22 @t24))) % 0.38/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p18) :args (@t22 @t25 @t26)) % 0.38/0.56 (step @p41 :rule cnf_equiv_pos1 :args (@t29)) % 0.38/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t23 @t28 (not @t29)))) % 0.38/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p33) :args (@t28 (@list false false) (@list @t22 @t29))) % 0.38/0.56 (step @p44 :rule cnf_or_pos :args (@t31)) % 0.38/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t21 @t30 (not @t31)))) % 0.38/0.56 (step @p46 false :rule chain_m_resolution :premises (@p45 @p43 @p29 @p20) :args (false (@list false false true) (@list @t28 @t31 @t21))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------