%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL002-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:09:42 AM UTC 2026 % Result : Unsatisfiable 1.62s 1.88s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL002-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:16:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.88 % SZS status Unsatisfiable % 1.62/1.88 % SZS output start Proof % 1.62/1.88 ( % 1.62/1.88 (declare-sort $$unsorted 0) % 1.62/1.88 (declare-const tptp.fixed_pt $$unsorted) % 1.62/1.88 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 1.62/1.88 (declare-const tptp.i $$unsorted) % 1.62/1.88 (declare-const tptp.c $$unsorted) % 1.62/1.88 (declare-const tptp.b $$unsorted) % 1.62/1.88 (declare-const tptp.s $$unsorted) % 1.62/1.88 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.88 (define @t1 () (@var "Z" $$unsorted)) % 1.62/1.88 (define @t2 () (@var "Y" $$unsorted)) % 1.62/1.88 (define @t3 () (tptp.apply @t2 @t1)) % 1.62/1.88 (define @t4 () (@var "X" $$unsorted)) % 1.62/1.88 (define @t5 () (tptp.apply @t4 @t1)) % 1.62/1.88 (define @t6 () (@list @t4 @t2 @t1)) % 1.62/1.88 (define @t7 () (tptp.apply tptp.b @t4)) % 1.62/1.88 (define @t8 () (forall @t6 (= (tptp.apply (tptp.apply @t7 @t2) @t1) (tptp.apply @t4 @t3)))) % 1.62/1.88 (define @t9 () (@list @t4)) % 1.62/1.88 (define @t10 () (@var "Weak_sage" $$unsorted)) % 1.62/1.88 (define @t11 () (tptp.apply tptp.s (tptp.apply tptp.c @t7))) % 1.62/1.88 (define @t12 () (tptp.apply tptp.b tptp.fixed_pt)) % 1.62/1.88 (define @t13 () (tptp.apply tptp.c @t12)) % 1.62/1.88 (define @t14 () (tptp.apply tptp.s @t13)) % 1.62/1.88 (define @t15 () (tptp.apply @t14 @t14)) % 1.62/1.88 (define @t16 () (tptp.apply @t15 @t14)) % 1.62/1.88 (define @t17 () (tptp.fixed_point @t16)) % 1.62/1.88 (define @t18 () (tptp.apply tptp.fixed_pt @t16)) % 1.62/1.88 (define @t19 () (= @t16 @t18)) % 1.62/1.88 (define @t20 () (not @t19)) % 1.62/1.88 (define @t21 () (or @t20 @t17)) % 1.62/1.88 (define @t22 () (tptp.apply (tptp.apply @t12 @t15) @t14)) % 1.62/1.88 (define @t23 () (= @t22 @t18)) % 1.62/1.88 (define @t24 () (@list tptp.fixed_pt @t15 @t14)) % 1.62/1.88 (define @t25 () (= @t18 @t22)) % 1.62/1.88 (define @t26 () (tptp.apply (tptp.apply @t13 @t14) @t15)) % 1.62/1.88 (define @t27 () (= @t26 @t22)) % 1.62/1.88 (define @t28 () (not @t27)) % 1.62/1.88 (define @t29 () (not @t25)) % 1.62/1.88 (define @t30 () (= @t16 @t26)) % 1.62/1.88 (define @t31 () (not @t30)) % 1.62/1.88 (define @t32 () (and @t30 @t20 @t25)) % 1.62/1.88 (assume @p1 (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t4) @t2) @t1) (tptp.apply @t5 @t3)))) % 1.62/1.88 (assume @p2 @t8) % 1.62/1.88 (assume @p3 (forall @t6 (= (tptp.apply (tptp.apply (tptp.apply tptp.c @t4) @t2) @t1) (tptp.apply @t5 @t2)))) % 1.62/1.88 (assume @p4 (forall @t9 (= (tptp.apply tptp.i @t4) @t4))) % 1.62/1.88 (assume @p5 (forall (@list @t10) (or (not (= @t10 (tptp.apply tptp.fixed_pt @t10))) (tptp.fixed_point @t10)))) % 1.62/1.88 (assume @p6 (forall @t9 (not (tptp.fixed_point (tptp.apply (tptp.apply @t11 @t11) @t11))))) % 1.62/1.88 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t13 @t14 @t14))) % 1.62/1.88 (step @p8 :rule instantiate :premises (@p5) :args ((@list @t16))) % 1.62/1.88 (step @p9 :rule instantiate :premises (@p6) :args ((@list tptp.fixed_pt))) % 1.62/1.88 (step @p10 :rule cnf_or_pos :args (@t21)) % 1.62/1.88 (step @p11 :rule reordering :premises (@p10) :args ((or @t17 @t20 (not @t21)))) % 1.62/1.88 (step @p12 :rule chain_m_resolution :premises (@p11 @p9 @p8) :args (@t20 (@list true false) (@list @t17 @t21))) % 1.62/1.88 (step @p13 :rule eq-symm :args (@t22 @t18)) % 1.62/1.88 (step @p14 :rule refl :args (@t8)) % 1.62/1.88 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t8 @t23))) % 1.62/1.88 (assume-push @p47 @t8) % 1.62/1.88 (step @p17 :rule instantiate :premises (@p2) :args (@t24)) % 1.62/1.88 (step-pop @p48 :rule scope :premises (@p17)) % 1.62/1.88 (step @p18 :rule process_scope :premises (@p48) :args (@t23)) % 1.62/1.88 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 1.62/1.88 (step @p21 :rule implies_elim :premises (@p20)) % 1.62/1.88 (step @p22 :rule chain_m_resolution :premises (@p21 @p2) :args (@t25 (@list false) (@list @t8))) % 1.62/1.88 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t12 @t14 @t15))) % 1.62/1.88 (step @p24 :rule refl :args (@t28)) % 1.62/1.88 (step @p25 :rule refl :args (@t29)) % 1.62/1.88 (step @p26 :rule bool-double-not-elim :args (@t19)) % 1.62/1.88 (step @p27 :rule refl :args (@t31)) % 1.62/1.88 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p24) :args ((or @t31 (not @t20) @t29 @t28))) % 1.62/1.88 (assume-push @p49 @t30) % 1.62/1.88 (assume-push @p50 @t20) % 1.62/1.88 (assume-push @p51 @t25) % 1.62/1.88 (step @p32 :rule false_intro :premises (@p12)) % 1.62/1.88 (step @p17 :rule instantiate :premises (@p2) :args (@t24)) % 1.62/1.88 (step @p33 :rule symm :premises (@p7)) % 1.62/1.88 (step @p34 :rule cong :premises (@p33 @p17) :args (@t27)) % 1.62/1.88 (step @p35 :rule trans :premises (@p34 @p32)) % 1.62/1.88 (step @p36 :rule false_elim :premises (@p35)) % 1.62/1.88 (step-pop @p52 :rule scope :premises (@p36)) % 1.62/1.88 (step-pop @p53 :rule scope :premises (@p52)) % 1.62/1.88 (step-pop @p54 :rule scope :premises (@p53)) % 1.62/1.88 (step @p37 :rule process_scope :premises (@p54) :args (@t28)) % 1.62/1.88 (step @p41 :rule implies_elim :premises (@p37)) % 1.62/1.88 (step @p42 :rule cnf_and_neg :args (@t32)) % 1.62/1.88 (step @p43 :rule resolution :premises (@p42 @p41) :args (true @t32)) % 1.62/1.88 (step @p44 :rule eq_resolve :premises (@p43 @p28)) % 1.62/1.88 (step @p45 :rule reordering :premises (@p44) :args ((or @t19 @t31 @t29 @t28))) % 1.62/1.88 (step @p46 false :rule chain_m_resolution :premises (@p45 @p23 @p22 @p12 @p7) :args (false (@list false false true false) (@list @t27 @t25 @t19 @t30))) % 1.62/1.88 ) % 1.62/1.89 % SZS output end Proof % 1.62/1.89 % cvc5 exiting %------------------------------------------------------------------------------