%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET978+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:49:05 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET978+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:19:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort $$unsorted 0) % 0.27/0.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.27/0.55 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.27/0.55 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.27/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.27/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.27/0.55 (define @t2 () (tptp.empty @t1)) % 0.27/0.55 (define @t3 () (@list @t1)) % 0.27/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.27/0.55 (define @t5 () (tptp.disjoint @t1 @t4)) % 0.27/0.55 (define @t6 () (@list @t1 @t4)) % 0.27/0.55 (define @t7 () (@var "D" $$unsorted)) % 0.27/0.55 (define @t8 () (@var "C" $$unsorted)) % 0.27/0.55 (define @t9 () (tptp.disjoint (tptp.cartesian_product2 @t1 @t8) (tptp.cartesian_product2 @t4 @t7))) % 0.27/0.55 (define @t10 () (tptp.disjoint @t8 @t7)) % 0.27/0.55 (define @t11 () (or @t5 @t10)) % 0.27/0.55 (define @t12 () (@list @t1 @t4 @t8 @t7)) % 0.27/0.55 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.27/0.55 (define @t14 () (tptp.singleton @t4)) % 0.27/0.55 (define @t15 () (tptp.singleton @t1)) % 0.27/0.55 (define @t16 () (and (tptp.disjoint (tptp.cartesian_product2 @t15 @t8) (tptp.cartesian_product2 @t14 @t7)) (tptp.disjoint (tptp.cartesian_product2 @t8 @t15) (tptp.cartesian_product2 @t7 @t14)))) % 0.27/0.55 (define @t17 () (= @t1 @t4)) % 0.27/0.55 (define @t18 () (not @t17)) % 0.27/0.55 (define @t19 () (forall @t12 (=> @t18 @t16))) % 0.27/0.55 (define @t20 () (not @t19)) % 0.27/0.55 (define @t21 () (tptp.disjoint @t15 @t14)) % 0.27/0.55 (define @t22 () (forall @t6 (=> @t18 @t21))) % 0.27/0.55 (define @t23 () (not @t18)) % 0.27/0.55 (define @t24 () (forall @t12 (or @t17 @t16))) % 0.27/0.55 (define @t25 () (@quantifiers_skolemize @t24 1)) % 0.27/0.55 (define @t26 () (tptp.singleton @t25)) % 0.27/0.55 (define @t27 () (@quantifiers_skolemize @t24 3)) % 0.27/0.55 (define @t28 () (@quantifiers_skolemize @t24 0)) % 0.27/0.55 (define @t29 () (tptp.singleton @t28)) % 0.27/0.55 (define @t30 () (@quantifiers_skolemize @t24 2)) % 0.27/0.55 (define @t31 () (tptp.disjoint (tptp.cartesian_product2 @t30 @t29) (tptp.cartesian_product2 @t27 @t26))) % 0.27/0.55 (define @t32 () (tptp.disjoint (tptp.cartesian_product2 @t29 @t30) (tptp.cartesian_product2 @t26 @t27))) % 0.27/0.55 (define @t33 () (and @t32 @t31)) % 0.27/0.55 (define @t34 () (= @t28 @t25)) % 0.27/0.55 (define @t35 () (or @t34 @t33)) % 0.27/0.55 (define @t36 () (@list true)) % 0.27/0.55 (define @t37 () (@list @t35)) % 0.27/0.55 (define @t38 () (tptp.disjoint @t29 @t26)) % 0.27/0.55 (define @t39 () (or @t34 @t38)) % 0.27/0.55 (define @t40 () (@list true false)) % 0.27/0.55 (define @t41 () (not (tptp.disjoint @t30 @t27))) % 0.27/0.55 (define @t42 () (not @t38)) % 0.27/0.55 (define @t43 () (and @t42 @t41)) % 0.27/0.55 (define @t44 () (not @t43)) % 0.27/0.55 (define @t45 () (@list false)) % 0.27/0.55 (define @t46 () (@list @t38)) % 0.27/0.55 (define @t47 () (or @t43 @t32)) % 0.27/0.55 (define @t48 () (and @t41 @t42)) % 0.27/0.55 (define @t49 () (not @t48)) % 0.27/0.55 (define @t50 () (or @t48 @t31)) % 0.27/0.55 (assume @p1 (exists @t3 @t2)) % 0.27/0.55 (assume @p2 (exists @t3 (not @t2))) % 0.27/0.55 (assume @p3 (forall @t6 (=> @t5 (tptp.disjoint @t4 @t1)))) % 0.27/0.55 (assume @p4 @t13) % 0.27/0.55 (assume @p5 @t20) % 0.27/0.55 (assume @p6 @t22) % 0.27/0.55 (assume @p7 true) % 0.27/0.55 (step @p8 :rule refl :args (@t16)) % 0.27/0.55 (step @p9 :rule bool-double-not-elim :args (@t17)) % 0.27/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t23 @t16))) % 0.27/0.55 (step @p11 :rule bool-impl-elim :args (@t18 @t16)) % 0.27/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.27/0.55 (step @p13 :rule cong :premises (@p12) :args (@t19)) % 0.27/0.55 (step @p14 :rule cong :premises (@p13) :args (@t20)) % 0.27/0.55 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 0.27/0.55 (step @p16 :rule skolemize :premises (@p15)) % 0.27/0.55 (step @p17 :rule cnf_or_neg :args (@t35 1)) % 0.27/0.55 (step @p18 :rule chain_m_resolution :premises (@p17 @p16) :args ((not @t33) @t36 @t37)) % 0.27/0.55 (step @p19 :rule refl :args (@t9)) % 0.27/0.55 (step @p20 :rule bool-or-de-morgan :args (@t5 @t10 false)) % 0.27/0.55 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t11) @t9))) % 0.27/0.55 (step @p22 :rule bool-impl-elim :args (@t11 @t9)) % 0.27/0.55 (step @p23 :rule trans :premises (@p22 @p21)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 0.27/0.55 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 0.27/0.55 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t29 @t26 @t30 @t27))) % 0.27/0.55 (step @p27 :rule refl :args (@t21)) % 0.27/0.55 (step @p28 :rule nary_cong :premises (@p9 @p27) :args ((or @t23 @t21))) % 0.27/0.55 (step @p29 :rule bool-impl-elim :args (@t18 @t21)) % 0.27/0.55 (step @p30 :rule trans :premises (@p29 @p28)) % 0.27/0.55 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 0.27/0.55 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 0.27/0.55 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t28 @t25))) % 0.27/0.55 (step @p34 :rule cnf_or_neg :args (@t35 0)) % 0.27/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p16) :args ((not @t34) @t36 @t37)) % 0.27/0.55 (step @p36 :rule cnf_or_pos :args (@t39)) % 0.27/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t34 @t38 (not @t39)))) % 0.27/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p33) :args (@t38 @t40 (@list @t34 @t39))) % 0.27/0.55 (step @p39 :rule cnf_and_pos :args (@t43 0)) % 0.27/0.55 (step @p40 :rule reordering :premises (@p39) :args ((or @t42 @t44))) % 0.27/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p38) :args (@t44 @t45 @t46)) % 0.27/0.55 (step @p42 :rule cnf_or_pos :args (@t47)) % 0.27/0.55 (step @p43 :rule reordering :premises (@p42) :args ((or @t32 @t43 (not @t47)))) % 0.27/0.55 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p26) :args (@t32 @t40 (@list @t43 @t47))) % 0.27/0.55 (step @p45 :rule instantiate :premises (@p25) :args ((@list @t30 @t27 @t29 @t26))) % 0.27/0.55 (step @p46 :rule cnf_and_pos :args (@t48 1)) % 0.27/0.55 (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t49))) % 0.27/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p38) :args (@t49 @t45 @t46)) % 0.27/0.55 (step @p49 :rule cnf_or_pos :args (@t50)) % 0.27/0.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t31 @t48 (not @t50)))) % 0.27/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p45) :args (@t31 @t40 (@list @t48 @t50))) % 0.27/0.55 (step @p52 :rule cnf_and_neg :args (@t33)) % 0.27/0.55 (step @p53 false :rule chain_m_resolution :premises (@p52 @p51 @p44 @p18) :args (false (@list false false true) (@list @t31 @t32 @t33))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------