%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET900+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 : n018.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 08:48:56 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET900+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:16:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.empty_set $$unsorted) % 0.35/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.35/0.56 (define @t3 () (@list @t1 @t2)) % 0.35/0.56 (define @t4 () (tptp.empty @t1)) % 0.35/0.56 (define @t5 () (@list @t1)) % 0.35/0.56 (define @t6 () (@var "C" $$unsorted)) % 0.35/0.56 (define @t7 () (not (= @t6 @t2))) % 0.35/0.56 (define @t8 () (tptp.in @t6 @t1)) % 0.35/0.56 (define @t9 () (and @t8 @t7)) % 0.35/0.56 (define @t10 () (not @t9)) % 0.35/0.56 (define @t11 () (@list @t6)) % 0.35/0.56 (define @t12 () (forall @t11 @t10)) % 0.35/0.56 (define @t13 () (= @t1 tptp.empty_set)) % 0.35/0.56 (define @t14 () (not @t13)) % 0.35/0.56 (define @t15 () (= @t1 (tptp.singleton @t2))) % 0.35/0.56 (define @t16 () (not @t15)) % 0.35/0.56 (define @t17 () (and @t16 @t14 @t12)) % 0.35/0.56 (define @t18 () (not @t17)) % 0.35/0.56 (define @t19 () (forall @t3 @t18)) % 0.35/0.56 (define @t20 () (not @t19)) % 0.35/0.56 (define @t21 () (= @t2 @t6)) % 0.35/0.56 (define @t22 () (not @t8)) % 0.35/0.56 (define @t23 () (forall @t11 (or @t22 @t21))) % 0.35/0.56 (define @t24 () (not @t23)) % 0.35/0.56 (define @t25 () (not @t14)) % 0.35/0.56 (define @t26 () (not @t16)) % 0.35/0.56 (define @t27 () (or @t26 @t25 @t24)) % 0.35/0.56 (define @t28 () (not @t21)) % 0.35/0.56 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.35/0.56 (assume @p2 (tptp.empty tptp.empty_set)) % 0.35/0.56 (assume @p3 (exists @t5 @t4)) % 0.35/0.56 (assume @p4 (exists @t5 (not @t4))) % 0.35/0.56 (assume @p5 @t20) % 0.35/0.56 (assume @p6 @t19) % 0.35/0.56 (assume @p7 true) % 0.35/0.56 (step @p8 :rule refl :args (@t24)) % 0.35/0.56 (step @p9 :rule bool-double-not-elim :args (@t13)) % 0.35/0.56 (step @p10 :rule bool-double-not-elim :args (@t15)) % 0.35/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8) :args (@t27)) % 0.35/0.56 (step @p12 :rule aci_norm :args ((= (or @t26 (or @t25 @t24)) @t27))) % 0.35/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.35/0.56 (step @p14 :rule bool-and-de-morgan :args (@t14 @t23 true)) % 0.35/0.56 (step @p15 :rule refl :args (@t26)) % 0.35/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t26 (not (and @t14 @t23))))) % 0.35/0.56 (step @p17 :rule bool-and-de-morgan :args (@t16 @t14 (and @t23))) % 0.35/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.35/0.56 (step @p19 :rule trans :premises (@p18 @p13)) % 0.35/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t3 (not (and @t16 @t14 @t23))))) % 0.35/0.56 (step @p21 :rule bool-double-not-elim :args (@t21)) % 0.35/0.56 (step @p22 :rule refl :args (@t22)) % 0.35/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t22 (not @t28)))) % 0.35/0.56 (step @p24 :rule bool-and-de-morgan :args (@t8 @t28 true)) % 0.35/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.35/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t11 (not (and @t8 @t28))))) % 0.35/0.56 (step @p27 :rule eq-symm :args (@t6 @t2)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27) :args (@t7)) % 0.35/0.56 (step @p29 :rule refl :args (@t8)) % 0.35/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t9)) % 0.35/0.56 (step @p31 :rule cong :premises (@p30) :args (@t10)) % 0.35/0.56 (step @p32 :rule cong :premises (@p31) :args (@t12)) % 0.35/0.56 (step @p33 :rule trans :premises (@p32 @p26)) % 0.35/0.56 (step @p34 :rule refl :args (@t14)) % 0.35/0.56 (step @p35 :rule refl :args (@t16)) % 0.35/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t17)) % 0.35/0.56 (step @p37 :rule cong :premises (@p36) :args (@t18)) % 0.35/0.56 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.35/0.56 (step @p39 :rule trans :premises (@p38 @p20)) % 0.35/0.56 (step @p40 :rule cong :premises (@p39) :args (@t20)) % 0.35/0.56 (step @p41 :rule eq_resolve :premises (@p5 @p40)) % 0.35/0.56 (step @p42 :rule eq_resolve :premises (@p6 @p39)) % 0.35/0.56 (step @p43 false :rule chain_m_resolution :premises (@p42 @p41) :args (false (@list true) (@list (forall @t3 (or @t15 @t13 @t24))))) % 0.35/0.56 ) % 0.35/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting %------------------------------------------------------------------------------