%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU275+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:51:13 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU275+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:50:02 EDT 2026 % 0.15/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.epsilon_connected @t1)) % 0.38/0.57 (define @t3 () (tptp.epsilon_transitive @t1)) % 0.38/0.57 (define @t4 () (and @t3 @t2)) % 0.38/0.57 (define @t5 () (tptp.ordinal @t1)) % 0.38/0.57 (define @t6 () (@list @t1)) % 0.38/0.57 (define @t7 () (= (tptp.well_ordering @t1) (and (tptp.reflexive @t1) (tptp.transitive @t1) (tptp.antisymmetric @t1) (tptp.connected @t1) (tptp.well_founded_relation @t1)))) % 0.38/0.57 (define @t8 () (tptp.relation @t1)) % 0.38/0.57 (define @t9 () (forall @t6 (=> @t8 @t7))) % 0.38/0.57 (define @t10 () (tptp.inclusion_relation @t1)) % 0.38/0.57 (define @t11 () (tptp.connected @t10)) % 0.38/0.57 (define @t12 () (forall @t6 (=> @t5 @t11))) % 0.38/0.57 (define @t13 () (tptp.well_founded_relation @t10)) % 0.38/0.57 (define @t14 () (forall @t6 (=> @t5 @t13))) % 0.38/0.57 (define @t15 () (tptp.well_ordering @t10)) % 0.38/0.57 (define @t16 () (forall @t6 (=> @t5 @t15))) % 0.38/0.57 (define @t17 () (not @t16)) % 0.38/0.57 (define @t18 () (@quantifiers_skolemize (forall @t6 (or (not @t5) @t15)) 0)) % 0.38/0.57 (define @t19 () (tptp.inclusion_relation @t18)) % 0.38/0.57 (define @t20 () (@list @t18)) % 0.38/0.57 (define @t21 () (tptp.well_founded_relation @t19)) % 0.38/0.57 (define @t22 () (tptp.connected @t19)) % 0.38/0.57 (define @t23 () (tptp.antisymmetric @t19)) % 0.38/0.57 (define @t24 () (tptp.transitive @t19)) % 0.38/0.57 (define @t25 () (tptp.reflexive @t19)) % 0.38/0.57 (define @t26 () (and @t25 @t24 @t23 @t22 @t21)) % 0.38/0.57 (define @t27 () (tptp.well_ordering @t19)) % 0.38/0.57 (define @t28 () (= @t27 @t26)) % 0.38/0.57 (define @t29 () (tptp.relation @t19)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (or @t30 @t28)) % 0.38/0.57 (define @t32 () (@list false false)) % 0.38/0.57 (define @t33 () (tptp.ordinal @t18)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (or @t34 @t27)) % 0.38/0.57 (define @t36 () (@list true)) % 0.38/0.57 (define @t37 () (@list @t35)) % 0.38/0.57 (define @t38 () (not @t26)) % 0.38/0.57 (define @t39 () (or @t34 @t22)) % 0.38/0.57 (define @t40 () (or @t34 @t21)) % 0.38/0.57 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.38/0.57 (assume @p2 (forall @t6 (=> @t4 @t5))) % 0.38/0.57 (assume @p3 @t9) % 0.38/0.57 (assume @p4 (forall @t6 (tptp.relation @t10))) % 0.38/0.57 (assume @p5 (exists @t6 (and @t3 @t2 @t5))) % 0.38/0.57 (assume @p6 (forall @t6 (tptp.reflexive @t10))) % 0.38/0.57 (assume @p7 (forall @t6 (tptp.transitive @t10))) % 0.38/0.57 (assume @p8 @t12) % 0.38/0.57 (assume @p9 (forall @t6 (tptp.antisymmetric @t10))) % 0.38/0.57 (assume @p10 @t14) % 0.38/0.57 (assume @p11 @t17) % 0.38/0.57 (assume @p12 true) % 0.38/0.57 (step @p13 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.38/0.57 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 0.38/0.57 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t19))) % 0.38/0.57 (step @p17 :rule instantiate :premises (@p4) :args (@t20)) % 0.38/0.57 (step @p18 :rule cnf_or_pos :args (@t31)) % 0.38/0.57 (step @p19 :rule reordering :premises (@p18) :args ((or @t30 @t28 (not @t31)))) % 0.38/0.57 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16) :args (@t28 @t32 (@list @t29 @t31))) % 0.38/0.57 (step @p21 :rule bool-impl-elim :args (@t5 @t15)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args (@t16)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.38/0.57 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 0.38/0.57 (step @p25 :rule skolemize :premises (@p24)) % 0.38/0.57 (step @p26 :rule cnf_or_neg :args (@t35 1)) % 0.38/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t27) @t36 @t37)) % 0.38/0.57 (step @p28 :rule cnf_equiv_pos2 :args (@t28)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t27 @t38 (not @t28)))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p20) :args (@t38 (@list true false) (@list @t27 @t28))) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p7) :args (@t20)) % 0.38/0.57 (step @p32 :rule instantiate :premises (@p6) :args (@t20)) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p9) :args (@t20)) % 0.38/0.57 (step @p34 :rule bool-impl-elim :args (@t5 @t11)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t12)) % 0.38/0.57 (step @p36 :rule eq_resolve :premises (@p8 @p35)) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p36) :args (@t20)) % 0.38/0.57 (step @p38 :rule bool-double-not-elim :args (@t33)) % 0.38/0.57 (step @p39 :rule refl :args (@t35)) % 0.38/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t35 (not @t34)))) % 0.38/0.57 (step @p41 :rule cnf_or_neg :args (@t35 0)) % 0.38/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.38/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t33 @t35))) % 0.38/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p25) :args (@t33 @t36 @t37)) % 0.38/0.57 (step @p45 :rule cnf_or_pos :args (@t39)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t34 @t22 (not @t39)))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p37) :args (@t22 @t32 (@list @t33 @t39))) % 0.38/0.57 (step @p48 :rule bool-impl-elim :args (@t5 @t13)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48) :args (@t14)) % 0.38/0.57 (step @p50 :rule eq_resolve :premises (@p10 @p49)) % 0.38/0.57 (step @p51 :rule instantiate :premises (@p50) :args (@t20)) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t40)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t34 @t21 (not @t40)))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p44 @p51) :args (@t21 @t32 (@list @t33 @t40))) % 0.38/0.57 (step @p55 :rule cnf_and_neg :args (@t26)) % 0.38/0.57 (step @p56 false :rule chain_m_resolution :premises (@p55 @p54 @p47 @p33 @p32 @p31 @p30) :args (false (@list false false false false false true) (@list @t21 @t22 @t23 @t25 @t24 @t26))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------