%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL049+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:45:05 AM UTC 2026 % Result : Theorem 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : REL049+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 08:52:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.top $$unsorted) % 0.14/0.36 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.one $$unsorted) % 0.14/0.36 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.zero $$unsorted) % 0.14/0.36 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.36 (define @t1 () (@var "X0" $$unsorted)) % 0.14/0.36 (define @t2 () (@var "X1" $$unsorted)) % 0.14/0.36 (define @t3 () (tptp.join @t1 @t2)) % 0.14/0.36 (define @t4 () (@list @t1 @t2)) % 0.14/0.36 (define @t5 () (@var "X2" $$unsorted)) % 0.14/0.36 (define @t6 () (@list @t1 @t2 @t5)) % 0.14/0.36 (define @t7 () (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5)))) % 0.14/0.36 (define @t8 () (tptp.complement @t1)) % 0.14/0.36 (define @t9 () (tptp.complement @t2)) % 0.14/0.36 (define @t10 () (tptp.complement (tptp.join @t8 @t9))) % 0.14/0.36 (define @t11 () (tptp.composition @t1 @t2)) % 0.14/0.36 (define @t12 () (tptp.composition @t2 @t5)) % 0.14/0.36 (define @t13 () (@list @t1)) % 0.14/0.36 (define @t14 () (tptp.converse @t1)) % 0.14/0.36 (define @t15 () (tptp.converse @t2)) % 0.14/0.36 (define @t16 () (tptp.join (tptp.join @t1 @t5) @t2)) % 0.14/0.36 (define @t17 () (tptp.join @t5 @t2)) % 0.14/0.36 (define @t18 () (and (= @t3 @t2) (= @t17 @t2))) % 0.14/0.36 (define @t19 () (=> @t18 (= @t16 @t2))) % 0.14/0.36 (define @t20 () (forall @t6 @t19)) % 0.14/0.36 (define @t21 () (not @t20)) % 0.14/0.36 (define @t22 () (= @t2 @t16)) % 0.14/0.36 (define @t23 () (= @t2 @t17)) % 0.14/0.36 (define @t24 () (not @t23)) % 0.14/0.36 (define @t25 () (= @t2 @t3)) % 0.14/0.36 (define @t26 () (not @t25)) % 0.14/0.36 (define @t27 () (or @t26 @t24 @t22)) % 0.14/0.36 (define @t28 () (forall @t6 @t27)) % 0.14/0.36 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.14/0.36 (define @t30 () (@quantifiers_skolemize @t28 2)) % 0.14/0.36 (define @t31 () (tptp.join @t30 @t29)) % 0.14/0.36 (define @t32 () (@quantifiers_skolemize @t28 0)) % 0.14/0.36 (define @t33 () (tptp.join @t32 @t31)) % 0.14/0.36 (define @t34 () (tptp.join (tptp.join @t32 @t30) @t29)) % 0.14/0.36 (define @t35 () (= @t34 @t33)) % 0.14/0.36 (define @t36 () (= @t33 @t34)) % 0.14/0.36 (define @t37 () (and @t25 @t23)) % 0.14/0.36 (define @t38 () (= @t29 @t34)) % 0.14/0.36 (define @t39 () (= @t29 @t31)) % 0.14/0.36 (define @t40 () (not @t39)) % 0.14/0.36 (define @t41 () (= @t29 (tptp.join @t32 @t29))) % 0.14/0.36 (define @t42 () (not @t41)) % 0.14/0.36 (define @t43 () (or @t42 @t40 @t38)) % 0.14/0.36 (define @t44 () (@list true)) % 0.14/0.36 (define @t45 () (@list @t43)) % 0.14/0.36 (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 0.14/0.36 (assume @p2 @t7) % 0.14/0.36 (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2)))))) % 0.14/0.36 (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t10))) % 0.14/0.36 (assume @p5 (forall @t6 (= (tptp.composition @t1 @t12) (tptp.composition @t11 @t5)))) % 0.14/0.36 (assume @p6 (forall @t13 (= (tptp.composition @t1 tptp.one) @t1))) % 0.14/0.36 (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t12)))) % 0.14/0.36 (assume @p8 (forall @t13 (= (tptp.converse @t14) @t1))) % 0.14/0.36 (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t14 @t15)))) % 0.14/0.36 (assume @p10 (forall @t4 (= (tptp.converse @t11) (tptp.composition @t15 @t14)))) % 0.14/0.36 (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t14 (tptp.complement @t11)) @t9) @t9))) % 0.14/0.36 (assume @p12 (forall @t13 (= tptp.top (tptp.join @t1 @t8)))) % 0.14/0.36 (assume @p13 (forall @t13 (= tptp.zero (tptp.meet @t1 @t8)))) % 0.14/0.36 (assume @p14 @t21) % 0.14/0.36 (assume @p15 true) % 0.14/0.36 (step @p16 :rule bool-eq-false :args (@t35)) % 0.14/0.36 (step @p17 :rule symm :premises (@p16)) % 0.14/0.36 (step @p18 :rule eq-symm :args (@t33 @t34)) % 0.14/0.36 (step @p19 :rule cong :premises (@p18) :args ((not @t36))) % 0.14/0.36 (step @p20 :rule bool-eq-false :args (@t36)) % 0.14/0.36 (step @p21 :rule trans :premises (@p20 @p19)) % 0.14/0.36 (step @p22 :rule trans :premises (@p21 @p17)) % 0.14/0.36 (step @p23 :rule aci_norm :args ((= (or (or @t26 @t24) @t22) @t27))) % 0.14/0.36 (step @p24 :rule refl :args (@t22)) % 0.14/0.36 (step @p25 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 0.14/0.36 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t37) @t22))) % 0.14/0.36 (step @p27 :rule trans :premises (@p26 @p23)) % 0.14/0.36 (step @p28 :rule bool-impl-elim :args (@t37 @t22)) % 0.14/0.36 (step @p29 :rule trans :premises (@p28 @p27)) % 0.14/0.36 (step @p30 :rule cong :premises (@p29) :args ((forall @t6 (=> @t37 @t22)))) % 0.14/0.36 (step @p31 :rule eq-symm :args (@t16 @t2)) % 0.14/0.36 (step @p32 :rule eq-symm :args (@t17 @t2)) % 0.14/0.36 (step @p33 :rule eq-symm :args (@t3 @t2)) % 0.14/0.36 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t18)) % 0.14/0.36 (step @p35 :rule cong :premises (@p34 @p31) :args (@t19)) % 0.14/0.36 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 0.14/0.36 (step @p37 :rule trans :premises (@p36 @p30)) % 0.14/0.36 (step @p38 :rule cong :premises (@p37) :args (@t21)) % 0.14/0.36 (step @p39 :rule eq_resolve :premises (@p14 @p38)) % 0.14/0.36 (step @p40 :rule skolemize :premises (@p39)) % 0.14/0.36 (step @p41 :rule cnf_or_neg :args (@t43 2)) % 0.14/0.36 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args ((not @t38) @t44 @t45)) % 0.14/0.36 (step @p43 :rule false_intro :premises (@p42)) % 0.14/0.36 (step @p44 :rule refl :args (@t34)) % 0.14/0.36 (step @p45 :rule bool-double-not-elim :args (@t41)) % 0.14/0.36 (step @p46 :rule refl :args (@t43)) % 0.14/0.36 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t43 (not @t42)))) % 0.14/0.36 (step @p48 :rule cnf_or_neg :args (@t43 0)) % 0.14/0.36 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.14/0.36 (step @p50 :rule reordering :premises (@p49) :args ((or @t41 @t43))) % 0.14/0.36 (step @p51 :rule chain_m_resolution :premises (@p50 @p40) :args (@t41 @t44 @t45)) % 0.14/0.36 (step @p52 :rule symm :premises (@p51)) % 0.14/0.36 (step @p53 :rule bool-double-not-elim :args (@t39)) % 0.14/0.36 (step @p54 :rule nary_cong :premises (@p46 @p53) :args ((or @t43 (not @t40)))) % 0.14/0.36 (step @p55 :rule cnf_or_neg :args (@t43 1)) % 0.14/0.36 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.14/0.36 (step @p57 :rule reordering :premises (@p56) :args ((or @t39 @t43))) % 0.14/0.36 (step @p58 :rule chain_m_resolution :premises (@p57 @p40) :args (@t39 @t44 @t45)) % 0.14/0.36 (step @p59 :rule symm :premises (@p58)) % 0.14/0.36 (step @p60 :rule refl :args (@t32)) % 0.14/0.36 (step @p61 :rule cong :premises (@p60 @p59) :args (@t33)) % 0.14/0.36 (step @p62 :rule trans :premises (@p61 @p52)) % 0.14/0.36 (step @p63 :rule cong :premises (@p62 @p44) :args (@t36)) % 0.14/0.36 (step @p64 :rule trans :premises (@p63 @p43)) % 0.14/0.36 (step @p65 :rule eq_resolve :premises (@p64 @p22)) % 0.14/0.36 (step @p66 :rule false_elim :premises (@p65)) % 0.14/0.36 (step @p67 :rule refl :args (@t7)) % 0.14/0.36 (step @p68 :rule cong :premises (@p67 @p18) :args ((=> @t7 @t36))) % 0.14/0.36 (assume-push @p76 @t7) % 0.14/0.36 (step @p70 :rule instantiate :premises (@p2) :args ((@list @t32 @t30 @t29))) % 0.14/0.36 (step-pop @p77 :rule scope :premises (@p70)) % 0.14/0.36 (step @p71 :rule process_scope :premises (@p77) :args (@t36)) % 0.14/0.36 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.14/0.36 (step @p74 :rule implies_elim :premises (@p73)) % 0.14/0.36 (step @p75 false :rule chain_m_resolution :premises (@p74 @p66 @p2) :args (false (@list true false) (@list @t35 @t7))) % 0.14/0.36 ) % 0.14/0.36 % SZS output end Proof % 0.14/0.36 % cvc5 exiting %------------------------------------------------------------------------------