%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL452+1 : TPTP v9.3.1. Bugfixed v9.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:55 AM UTC 2026 % Result : Theorem 1.03s 1.36s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL452+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.38 % Computer : n005.cluster.edu % 0.10/0.38 % Model : x86_64 x86_64 % 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.38 % Memory : 8046.5625MB % 0.10/0.38 % OS : Linux 6.8.0-71-generic % 0.10/0.38 % CPULimit : 300 % 0.10/0.38 % WCLimit : 300 % 0.10/0.38 % DateTime : Sat Sep 5 01:05:06 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.45 %----Proving TF0_NAR, FOF, or CNF % 1.03/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.36 % SZS status Theorem % 1.03/1.36 % SZS output start Proof % 1.03/1.36 ( % 1.03/1.36 (declare-sort $$unsorted 0) % 1.03/1.36 (declare-const tptp.op_equiv Bool) % 1.03/1.36 (declare-const tptp.op_implies_or Bool) % 1.03/1.36 (declare-const tptp.op_and Bool) % 1.03/1.36 (declare-const tptp.r4 Bool) % 1.03/1.36 (declare-const tptp.r3 Bool) % 1.03/1.36 (declare-const tptp.implies_2 Bool) % 1.03/1.36 (declare-const tptp.and_2 Bool) % 1.03/1.36 (declare-const tptp.modus_tollens Bool) % 1.03/1.36 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 1.03/1.36 (declare-const tptp.op_or Bool) % 1.03/1.36 (declare-const tptp.or_1 Bool) % 1.03/1.36 (declare-const tptp.equivalence_3 Bool) % 1.03/1.36 (declare-const tptp.and_1 Bool) % 1.03/1.36 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.36 (declare-const tptp.implies_3 Bool) % 1.03/1.36 (declare-const tptp.substitution_of_equivalents Bool) % 1.03/1.36 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.36 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.36 (declare-const tptp.op_implies_and Bool) % 1.03/1.36 (declare-const tptp.or_3 Bool) % 1.03/1.36 (declare-const tptp.equivalence_2 Bool) % 1.03/1.36 (declare-const tptp.modus_ponens Bool) % 1.03/1.36 (declare-const tptp.implies_1 Bool) % 1.03/1.36 (declare-const tptp.equivalence_1 Bool) % 1.03/1.36 (declare-const tptp.op_implies Bool) % 1.03/1.36 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.36 (declare-const tptp.r5 Bool) % 1.03/1.36 (declare-const tptp.and_3 Bool) % 1.03/1.36 (declare-const tptp.cn3 Bool) % 1.03/1.36 (declare-const tptp.or_2 Bool) % 1.03/1.36 (declare-const tptp.kn1 Bool) % 1.03/1.36 (declare-const tptp.cn1 Bool) % 1.03/1.36 (declare-const tptp.kn2 Bool) % 1.03/1.36 (declare-const tptp.cn2 Bool) % 1.03/1.36 (declare-const tptp.kn3 Bool) % 1.03/1.36 (declare-const tptp.is_a_theorem (-> $$unsorted Bool)) % 1.03/1.36 (declare-const tptp.r1 Bool) % 1.03/1.36 (declare-const tptp.r2 Bool) % 1.03/1.36 (define @t1 () (@var "Y" $$unsorted)) % 1.03/1.36 (define @t2 () (@var "X" $$unsorted)) % 1.03/1.36 (define @t3 () (tptp.implies @t2 @t1)) % 1.03/1.36 (define @t4 () (@list @t2 @t1)) % 1.03/1.36 (define @t5 () (tptp.equiv @t2 @t1)) % 1.03/1.36 (define @t6 () (tptp.not @t2)) % 1.03/1.36 (define @t7 () (tptp.not @t1)) % 1.03/1.36 (define @t8 () (tptp.implies @t1 @t2)) % 1.03/1.36 (define @t9 () (@var "Z" $$unsorted)) % 1.03/1.36 (define @t10 () (tptp.implies @t2 @t9)) % 1.03/1.36 (define @t11 () (tptp.implies @t1 @t9)) % 1.03/1.36 (define @t12 () (@list @t2 @t1 @t9)) % 1.03/1.36 (define @t13 () (tptp.and @t2 @t1)) % 1.03/1.36 (define @t14 () (tptp.or @t2 @t1)) % 1.03/1.36 (define @t15 () (forall @t4 (tptp.is_a_theorem (tptp.implies @t2 @t14)))) % 1.03/1.36 (define @t16 () (@var "P" $$unsorted)) % 1.03/1.36 (define @t17 () (@list @t16)) % 1.03/1.36 (define @t18 () (@var "Q" $$unsorted)) % 1.03/1.36 (define @t19 () (@list @t16 @t18)) % 1.03/1.36 (define @t20 () (@var "R" $$unsorted)) % 1.03/1.36 (define @t21 () (tptp.implies @t16 @t18)) % 1.03/1.36 (define @t22 () (@list @t16 @t18 @t20)) % 1.03/1.36 (define @t23 () (tptp.implies @t18 @t20)) % 1.03/1.36 (define @t24 () (tptp.not @t16)) % 1.03/1.36 (define @t25 () (forall @t19 (tptp.is_a_theorem (tptp.implies @t16 (tptp.implies @t24 @t18))))) % 1.03/1.36 (define @t26 () (tptp.or @t16 @t18)) % 1.03/1.36 (define @t27 () (tptp.or @t16 @t20)) % 1.03/1.36 (define @t28 () (forall @t4 (= @t14 (tptp.not (tptp.and @t6 @t7))))) % 1.03/1.36 (define @t29 () (forall @t4 (= @t3 (tptp.not (tptp.and @t2 @t7))))) % 1.03/1.36 (define @t30 () (@list false)) % 1.03/1.36 (define @t31 () (@quantifiers_skolemize @t25 1)) % 1.03/1.36 (define @t32 () (@quantifiers_skolemize @t25 0)) % 1.03/1.36 (define @t33 () (@list @t32 @t31)) % 1.03/1.36 (define @t34 () (tptp.or @t32 @t31)) % 1.03/1.36 (define @t35 () (tptp.not @t32)) % 1.03/1.36 (define @t36 () (tptp.not (tptp.and @t35 (tptp.not @t31)))) % 1.03/1.36 (define @t37 () (= @t34 @t36)) % 1.03/1.36 (define @t38 () (tptp.implies @t32 (tptp.implies @t35 @t31))) % 1.03/1.36 (assume @p1 (= tptp.modus_ponens (forall @t4 (=> (and (tptp.is_a_theorem @t2) (tptp.is_a_theorem @t3)) (tptp.is_a_theorem @t1))))) % 1.03/1.36 (assume @p2 (= tptp.substitution_of_equivalents (forall @t4 (=> (tptp.is_a_theorem @t5) (= @t2 @t1))))) % 1.03/1.36 (assume @p3 (= tptp.modus_tollens (forall @t4 (tptp.is_a_theorem (tptp.implies (tptp.implies @t7 @t6) @t3))))) % 1.03/1.36 (assume @p4 (= tptp.implies_1 (forall @t4 (tptp.is_a_theorem (tptp.implies @t2 @t8))))) % 1.03/1.36 (assume @p5 (= tptp.implies_2 (forall @t4 (tptp.is_a_theorem (tptp.implies (tptp.implies @t2 @t3) @t3))))) % 1.03/1.36 (assume @p6 (= tptp.implies_3 (forall @t12 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t11 @t10)))))) % 1.03/1.36 (assume @p7 (= tptp.and_1 (forall @t4 (tptp.is_a_theorem (tptp.implies @t13 @t2))))) % 1.03/1.36 (assume @p8 (= tptp.and_2 (forall @t4 (tptp.is_a_theorem (tptp.implies @t13 @t1))))) % 1.03/1.36 (assume @p9 (= tptp.and_3 (forall @t4 (tptp.is_a_theorem (tptp.implies @t2 (tptp.implies @t1 @t13)))))) % 1.03/1.36 (assume @p10 (= tptp.or_1 @t15)) % 1.03/1.36 (assume @p11 (= tptp.or_2 (forall @t4 (tptp.is_a_theorem (tptp.implies @t1 @t14))))) % 1.03/1.36 (assume @p12 (= tptp.or_3 (forall @t12 (tptp.is_a_theorem (tptp.implies @t10 (tptp.implies @t11 (tptp.implies @t14 @t9))))))) % 1.03/1.36 (assume @p13 (= tptp.equivalence_1 (forall @t4 (tptp.is_a_theorem (tptp.implies @t5 @t3))))) % 1.03/1.36 (assume @p14 (= tptp.equivalence_2 (forall @t4 (tptp.is_a_theorem (tptp.implies @t5 @t8))))) % 1.03/1.36 (assume @p15 (= tptp.equivalence_3 (forall @t4 (tptp.is_a_theorem (tptp.implies @t3 (tptp.implies @t8 @t5)))))) % 1.03/1.36 (assume @p16 (= tptp.kn1 (forall @t17 (tptp.is_a_theorem (tptp.implies @t16 (tptp.and @t16 @t16)))))) % 1.03/1.36 (assume @p17 (= tptp.kn2 (forall @t19 (tptp.is_a_theorem (tptp.implies (tptp.and @t16 @t18) @t16))))) % 1.03/1.36 (assume @p18 (= tptp.kn3 (forall @t22 (tptp.is_a_theorem (tptp.implies @t21 (tptp.implies (tptp.not (tptp.and @t18 @t20)) (tptp.not (tptp.and @t20 @t16)))))))) % 1.03/1.36 (assume @p19 (= tptp.cn1 (forall @t22 (tptp.is_a_theorem (tptp.implies @t21 (tptp.implies @t23 (tptp.implies @t16 @t20))))))) % 1.03/1.36 (assume @p20 (= tptp.cn2 @t25)) % 1.03/1.36 (assume @p21 (= tptp.cn3 (forall @t17 (tptp.is_a_theorem (tptp.implies (tptp.implies @t24 @t16) @t16))))) % 1.03/1.36 (assume @p22 (= tptp.r1 (forall @t17 (tptp.is_a_theorem (tptp.implies (tptp.or @t16 @t16) @t16))))) % 1.03/1.36 (assume @p23 (= tptp.r2 (forall @t19 (tptp.is_a_theorem (tptp.implies @t18 @t26))))) % 1.03/1.36 (assume @p24 (= tptp.r3 (forall @t19 (tptp.is_a_theorem (tptp.implies @t26 (tptp.or @t18 @t16)))))) % 1.03/1.36 (assume @p25 (= tptp.r4 (forall @t22 (tptp.is_a_theorem (tptp.implies (tptp.or @t16 (tptp.or @t18 @t20)) (tptp.or @t18 @t27)))))) % 1.03/1.36 (assume @p26 (= tptp.r5 (forall @t22 (tptp.is_a_theorem (tptp.implies @t23 (tptp.implies @t26 @t27)))))) % 1.03/1.36 (assume @p27 (=> tptp.op_or @t28)) % 1.03/1.36 (assume @p28 (=> tptp.op_and (forall @t4 (= @t13 (tptp.not (tptp.or @t6 @t7)))))) % 1.03/1.36 (assume @p29 (=> tptp.op_implies_and @t29)) % 1.03/1.36 (assume @p30 (=> tptp.op_implies_or (forall @t4 (= @t3 (tptp.or @t6 @t1))))) % 1.03/1.36 (assume @p31 (=> tptp.op_equiv (forall @t4 (= @t5 (tptp.and @t3 @t8))))) % 1.03/1.36 (assume @p32 tptp.op_or) % 1.03/1.36 (assume @p33 tptp.op_implies_and) % 1.03/1.36 (assume @p34 tptp.op_equiv) % 1.03/1.36 (assume @p35 tptp.modus_ponens) % 1.03/1.36 (assume @p36 tptp.modus_tollens) % 1.03/1.36 (assume @p37 tptp.implies_1) % 1.03/1.36 (assume @p38 tptp.implies_2) % 1.03/1.36 (assume @p39 tptp.implies_3) % 1.03/1.36 (assume @p40 tptp.and_1) % 1.03/1.36 (assume @p41 tptp.and_2) % 1.03/1.36 (assume @p42 tptp.and_3) % 1.03/1.36 (assume @p43 tptp.or_1) % 1.03/1.36 (assume @p44 tptp.or_2) % 1.03/1.36 (assume @p45 tptp.or_3) % 1.03/1.36 (assume @p46 tptp.equivalence_1) % 1.03/1.36 (assume @p47 tptp.equivalence_2) % 1.03/1.36 (assume @p48 tptp.equivalence_3) % 1.03/1.36 (assume @p49 tptp.substitution_of_equivalents) % 1.03/1.36 (assume @p50 tptp.op_implies) % 1.03/1.36 (assume @p51 (not tptp.cn2)) % 1.03/1.36 (assume @p52 true) % 1.03/1.36 (step @p53 :rule evaluate :args ((= false true))) % 1.03/1.36 (step @p54 :rule equiv_elim1 :premises (@p10)) % 1.03/1.36 (step @p55 :rule reordering :premises (@p54) :args ((or @t15 (not tptp.or_1)))) % 1.03/1.36 (step @p56 :rule chain_m_resolution :premises (@p55 @p43) :args (@t15 @t30 (@list tptp.or_1))) % 1.03/1.36 (step @p57 :rule instantiate :premises (@p56) :args (@t33)) % 1.03/1.36 (step @p58 :rule true_intro :premises (@p57)) % 1.03/1.36 (step @p59 :rule implies_elim :premises (@p27)) % 1.03/1.36 (step @p60 :rule reordering :premises (@p59) :args ((or @t28 (not tptp.op_or)))) % 1.03/1.36 (step @p61 :rule chain_m_resolution :premises (@p60 @p32) :args (@t28 @t30 (@list tptp.op_or))) % 1.03/1.36 (step @p62 :rule eq-symm :args (@t34 @t36)) % 1.03/1.36 (step @p63 :rule refl :args (@t28)) % 1.03/1.36 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t28 @t37))) % 1.03/1.36 (assume-push @p87 @t28) % 1.03/1.36 (step @p66 :rule instantiate :premises (@p61) :args (@t33)) % 1.03/1.36 (step-pop @p88 :rule scope :premises (@p66)) % 1.03/1.36 (step @p67 :rule process_scope :premises (@p88) :args (@t37)) % 1.03/1.36 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 1.03/1.36 (step @p70 :rule implies_elim :premises (@p69)) % 1.03/1.36 (step @p71 :rule chain_m_resolution :premises (@p70 @p61) :args ((= @t36 @t34) @t30 (@list @t28))) % 1.03/1.36 (step @p72 :rule implies_elim :premises (@p29)) % 1.03/1.36 (step @p73 :rule reordering :premises (@p72) :args ((or @t29 (not tptp.op_implies_and)))) % 1.03/1.36 (step @p74 :rule chain_m_resolution :premises (@p73 @p33) :args (@t29 @t30 (@list tptp.op_implies_and))) % 1.03/1.36 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t35 @t31))) % 1.03/1.37 (step @p76 :rule trans :premises (@p75 @p71)) % 1.03/1.37 (step @p77 :rule refl :args (@t32)) % 1.03/1.37 (step @p78 :rule cong :premises (@p77 @p76) :args (@t38)) % 1.03/1.37 (step @p79 :rule cong :premises (@p78) :args ((tptp.is_a_theorem @t38))) % 1.03/1.37 (step @p80 :rule equiv_elim2 :premises (@p20)) % 1.03/1.37 (step @p81 :rule chain_m_resolution :premises (@p80 @p51) :args ((not @t25) (@list true) (@list tptp.cn2))) % 1.03/1.37 (step @p82 :rule skolemize :premises (@p81)) % 1.03/1.37 (step @p83 :rule false_intro :premises (@p82)) % 1.03/1.37 (step @p84 :rule symm :premises (@p83)) % 1.03/1.37 (step @p85 :rule trans :premises (@p84 @p79 @p58)) % 1.03/1.37 (step @p86 false :rule eq_resolve :premises (@p85 @p53)) % 1.03/1.37 ) % 1.03/1.37 % SZS output end Proof % 1.03/1.37 % cvc5 exiting %------------------------------------------------------------------------------