%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU247+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 : n009.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 08:51:07 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU247+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.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 16:47:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t3 () (@list @t1 @t2)) % 0.37/0.57 (define @t4 () (tptp.relation_restriction @t1 @t2)) % 0.37/0.57 (define @t5 () (tptp.relation @t1)) % 0.37/0.57 (define @t6 () (tptp.relation_rng_restriction @t1 @t2)) % 0.37/0.57 (define @t7 () (tptp.relation @t2)) % 0.37/0.57 (define @t8 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t9 () (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t8) @t2) (tptp.relation_rng_restriction @t1 (tptp.relation_dom_restriction @t8 @t2)))) % 0.37/0.57 (define @t10 () (tptp.relation @t8)) % 0.37/0.57 (define @t11 () (@list @t1 @t2 @t8)) % 0.37/0.57 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.37/0.57 (define @t13 () (tptp.relation_restriction @t2 @t1)) % 0.37/0.57 (define @t14 () (= @t13 (tptp.relation_dom_restriction @t6 @t1))) % 0.37/0.57 (define @t15 () (forall @t3 (=> @t7 @t14))) % 0.37/0.57 (define @t16 () (= @t13 (tptp.relation_rng_restriction @t1 (tptp.relation_dom_restriction @t2 @t1)))) % 0.37/0.57 (define @t17 () (forall @t3 (=> @t7 @t16))) % 0.37/0.57 (define @t18 () (not @t17)) % 0.37/0.57 (define @t19 () (forall @t3 (or (not @t7) @t16))) % 0.37/0.57 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.37/0.57 (define @t21 () (@quantifiers_skolemize @t19 1)) % 0.37/0.57 (define @t22 () (tptp.relation_rng_restriction @t20 (tptp.relation_dom_restriction @t21 @t20))) % 0.37/0.57 (define @t23 () (tptp.relation_restriction @t21 @t20)) % 0.37/0.57 (define @t24 () (= @t23 @t22)) % 0.37/0.57 (define @t25 () (tptp.relation @t21)) % 0.37/0.57 (define @t26 () (not @t25)) % 0.37/0.57 (define @t27 () (or @t26 @t24)) % 0.37/0.57 (define @t28 () (not @t24)) % 0.37/0.57 (define @t29 () (@list true)) % 0.37/0.57 (define @t30 () (@list @t27)) % 0.37/0.57 (define @t31 () (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t20 @t21) @t20)) % 0.37/0.57 (define @t32 () (or @t26 (= @t31 @t22))) % 0.37/0.57 (define @t33 () (forall @t11 (or (not @t10) @t9))) % 0.37/0.57 (define @t34 () (= @t22 @t31)) % 0.37/0.57 (define @t35 () (or @t26 @t34)) % 0.37/0.57 (define @t36 () (@list false false)) % 0.37/0.57 (define @t37 () (= @t23 @t31)) % 0.37/0.57 (define @t38 () (or @t26 @t37)) % 0.37/0.57 (define @t39 () (not @t37)) % 0.37/0.57 (define @t40 () (not @t34)) % 0.37/0.57 (define @t41 () (and @t28 @t34)) % 0.37/0.57 (assume @p1 (forall @t3 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.57 (assume @p2 (forall (@list @t1) (=> @t5 (forall (@list @t2) (= @t4 (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t2 @t2))))))) % 0.37/0.57 (assume @p3 (forall @t3 (=> @t5 (tptp.relation @t4)))) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (assume @p5 (forall @t3 (=> @t5 (tptp.relation (tptp.relation_dom_restriction @t1 @t2))))) % 0.37/0.57 (assume @p6 (forall @t3 (=> @t7 (tptp.relation @t6)))) % 0.37/0.57 (assume @p7 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.57 (assume @p8 @t12) % 0.37/0.57 (assume @p9 @t15) % 0.37/0.57 (assume @p10 @t18) % 0.37/0.57 (step @p11 :rule bool-impl-elim :args (@t7 @t16)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11) :args (@t17)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 0.37/0.57 (step @p14 :rule eq_resolve :premises (@p10 @p13)) % 0.37/0.57 (step @p15 :rule skolemize :premises (@p14)) % 0.37/0.57 (step @p16 :rule cnf_or_neg :args (@t27 1)) % 0.37/0.57 (step @p17 :rule chain_m_resolution :premises (@p16 @p15) :args (@t28 @t29 @t30)) % 0.37/0.57 (step @p18 :rule bool-impl-elim :args (@t10 @t9)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args (@t12)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p8 @p19)) % 0.37/0.57 (step @p21 :rule eq-symm :args (@t31 @t22)) % 0.37/0.57 (step @p22 :rule refl :args (@t26)) % 0.37/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t32)) % 0.37/0.57 (step @p24 :rule refl :args (@t33)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t33 @t32))) % 0.37/0.57 (assume-push @p70 @t33) % 0.37/0.57 (step @p27 :rule instantiate :premises (@p20) :args ((@list @t20 @t20 @t21))) % 0.37/0.57 (step-pop @p71 :rule scope :premises (@p27)) % 0.37/0.57 (step @p28 :rule process_scope :premises (@p71) :args (@t32)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.37/0.57 (step @p31 :rule implies_elim :premises (@p30)) % 0.37/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p20) :args (@t35 (@list false) (@list @t33))) % 0.37/0.57 (step @p33 :rule bool-double-not-elim :args (@t25)) % 0.37/0.57 (step @p34 :rule refl :args (@t27)) % 0.37/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t27 (not @t26)))) % 0.37/0.57 (step @p36 :rule cnf_or_neg :args (@t27 0)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.37/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 @t27))) % 0.37/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p15) :args (@t25 @t29 @t30)) % 0.37/0.57 (step @p40 :rule cnf_or_pos :args (@t35)) % 0.37/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t26 @t34 (not @t35)))) % 0.37/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p32) :args (@t34 @t36 (@list @t25 @t35))) % 0.37/0.57 (step @p43 :rule bool-impl-elim :args (@t7 @t14)) % 0.37/0.57 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 0.37/0.57 (step @p45 :rule eq_resolve :premises (@p9 @p44)) % 0.37/0.57 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t20 @t21))) % 0.37/0.57 (step @p47 :rule cnf_or_pos :args (@t38)) % 0.37/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t26 @t37 (not @t38)))) % 0.37/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p39 @p46) :args (@t37 @t36 (@list @t25 @t38))) % 0.37/0.57 (step @p50 :rule refl :args (@t39)) % 0.37/0.57 (step @p51 :rule refl :args (@t40)) % 0.37/0.57 (step @p52 :rule bool-double-not-elim :args (@t24)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args ((or (not @t28) @t40 @t39))) % 0.37/0.57 (assume-push @p72 @t28) % 0.37/0.57 (assume-push @p73 @t34) % 0.37/0.57 (step @p56 :rule false_intro :premises (@p17)) % 0.37/0.57 (step @p57 :rule symm :premises (@p42)) % 0.37/0.57 (step @p58 :rule refl :args (@t23)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t37)) % 0.37/0.57 (step @p60 :rule trans :premises (@p59 @p56)) % 0.37/0.57 (step @p61 :rule false_elim :premises (@p60)) % 0.37/0.57 (step-pop @p74 :rule scope :premises (@p61)) % 0.37/0.57 (step-pop @p75 :rule scope :premises (@p74)) % 0.37/0.57 (step @p62 :rule process_scope :premises (@p75) :args (@t39)) % 0.37/0.57 (step @p65 :rule implies_elim :premises (@p62)) % 0.37/0.57 (step @p66 :rule cnf_and_neg :args (@t41)) % 0.37/0.57 (step @p67 :rule resolution :premises (@p66 @p65) :args (true @t41)) % 0.37/0.57 (step @p68 :rule eq_resolve :premises (@p67 @p53)) % 0.37/0.57 (step @p69 false :rule chain_m_resolution :premises (@p68 @p49 @p42 @p17) :args (false (@list false false true) (@list @t37 @t34 @t24))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------