%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL002-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:09:41 AM UTC 2026 % Result : Unsatisfiable 5.94s 6.15s % Output : Proof 5.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL002-10 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.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 : Mon Jun 1 20:16:15 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.94/6.15 % SZS status Unsatisfiable % 5.94/6.15 % SZS output start Proof % 5.94/6.15 ( % 5.94/6.15 (declare-sort $$unsorted 0) % 5.94/6.15 (declare-const tptp.fixed_pt $$unsorted) % 5.94/6.15 (declare-const tptp.true $$unsorted) % 5.94/6.15 (declare-const tptp.i $$unsorted) % 5.94/6.15 (declare-const tptp.c $$unsorted) % 5.94/6.15 (declare-const tptp.s $$unsorted) % 5.94/6.15 (declare-const tptp.b $$unsorted) % 5.94/6.15 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 5.94/6.15 (declare-const tptp.fixed_point (-> $$unsorted $$unsorted)) % 5.94/6.15 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 5.94/6.15 (define @t1 () (@var "B" $$unsorted)) % 5.94/6.15 (define @t2 () (@var "C" $$unsorted)) % 5.94/6.15 (define @t3 () (@var "A" $$unsorted)) % 5.94/6.15 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 5.94/6.15 (define @t5 () (@list @t3 @t1 @t2)) % 5.94/6.15 (define @t6 () (forall @t5 (= @t4 @t1))) % 5.94/6.15 (define @t7 () (@var "Z" $$unsorted)) % 5.94/6.15 (define @t8 () (@var "Y" $$unsorted)) % 5.94/6.15 (define @t9 () (tptp.apply @t8 @t7)) % 5.94/6.15 (define @t10 () (@var "X" $$unsorted)) % 5.94/6.15 (define @t11 () (tptp.apply @t10 @t7)) % 5.94/6.15 (define @t12 () (@list @t10 @t8 @t7)) % 5.94/6.15 (define @t13 () (tptp.apply tptp.b @t10)) % 5.94/6.15 (define @t14 () (forall @t12 (= (tptp.apply (tptp.apply @t13 @t8) @t7) (tptp.apply @t10 @t9)))) % 5.94/6.15 (define @t15 () (tptp.apply tptp.i @t10)) % 5.94/6.15 (define @t16 () (@list @t10)) % 5.94/6.15 (define @t17 () (forall @t16 (= @t15 @t10))) % 5.94/6.15 (define @t18 () (@var "Weak_sage" $$unsorted)) % 5.94/6.15 (define @t19 () (tptp.ifeq @t18 (tptp.apply tptp.fixed_pt @t18) (tptp.fixed_point @t18) tptp.true)) % 5.94/6.15 (define @t20 () (forall (@list @t18) (= @t19 tptp.true))) % 5.94/6.15 (define @t21 () (tptp.apply (tptp.apply tptp.s @t13) tptp.i)) % 5.94/6.15 (define @t22 () (tptp.fixed_point (tptp.apply @t21 @t21))) % 5.94/6.15 (define @t23 () (not (= @t22 tptp.true))) % 5.94/6.15 (define @t24 () (forall @t16 @t23)) % 5.94/6.15 (define @t25 () (tptp.apply tptp.b tptp.fixed_pt)) % 5.94/6.15 (define @t26 () (tptp.apply (tptp.apply tptp.s @t25) tptp.i)) % 5.94/6.15 (define @t27 () (tptp.apply @t26 @t26)) % 5.94/6.15 (define @t28 () (tptp.fixed_point @t27)) % 5.94/6.15 (define @t29 () (tptp.apply tptp.fixed_pt @t27)) % 5.94/6.15 (define @t30 () (tptp.ifeq @t29 @t29 @t28 tptp.true)) % 5.94/6.15 (define @t31 () (= @t28 @t30)) % 5.94/6.15 (define @t32 () (= @t30 @t28)) % 5.94/6.15 (define @t33 () (tptp.apply @t25 @t26)) % 5.94/6.15 (define @t34 () (tptp.apply @t33 @t26)) % 5.94/6.15 (define @t35 () (= @t34 @t29)) % 5.94/6.15 (define @t36 () (forall @t5 (= @t1 @t4))) % 5.94/6.15 (assume @p1 @t6) % 5.94/6.15 (assume @p2 (forall @t12 (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t10) @t8) @t7) (tptp.apply @t11 @t9)))) % 5.94/6.15 (assume @p3 @t14) % 5.94/6.15 (assume @p4 (forall @t12 (= (tptp.apply (tptp.apply (tptp.apply tptp.c @t10) @t8) @t7) (tptp.apply @t11 @t8)))) % 5.94/6.15 (assume @p5 @t17) % 5.94/6.15 (assume @p6 @t20) % 5.94/6.15 (assume @p7 @t24) % 5.94/6.15 (step @p8 :rule eq-symm :args (@t4 @t1)) % 5.94/6.15 (step @p9 :rule cong :premises (@p8) :args (@t6)) % 5.94/6.15 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 5.94/6.15 (step @p11 :rule bool-eq-false :args (@t31)) % 5.94/6.15 (step @p12 :rule symm :premises (@p11)) % 5.94/6.15 (step @p13 :rule eq-symm :args (@t30 @t28)) % 5.94/6.15 (step @p14 :rule cong :premises (@p13) :args ((not @t32))) % 5.94/6.15 (step @p15 :rule bool-eq-false :args (@t32)) % 5.94/6.15 (step @p16 :rule trans :premises (@p15 @p14)) % 5.94/6.15 (step @p17 :rule trans :premises (@p16 @p12)) % 5.94/6.15 (step @p18 :rule eq-symm :args (@t22 tptp.true)) % 5.94/6.15 (step @p19 :rule cong :premises (@p18) :args (@t23)) % 5.94/6.15 (step @p20 :rule cong :premises (@p19) :args (@t24)) % 5.94/6.15 (step @p21 :rule eq_resolve :premises (@p7 @p20)) % 5.94/6.15 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.fixed_pt))) % 5.94/6.15 (step @p23 :rule false_intro :premises (@p22)) % 5.94/6.15 (step @p24 :rule refl :args (@t28)) % 5.94/6.15 (step @p25 :rule eq-symm :args (@t19 tptp.true)) % 5.94/6.15 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 5.94/6.15 (step @p27 :rule eq_resolve :premises (@p6 @p26)) % 5.94/6.15 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t27))) % 5.94/6.15 (step @p29 :rule symm :premises (@p28)) % 5.94/6.15 (step @p30 :rule refl :args (tptp.true)) % 5.94/6.15 (step @p31 :rule refl :args (@t29)) % 5.94/6.15 (step @p32 :rule instantiate :premises (@p2) :args ((@list @t25 tptp.i @t26))) % 5.94/6.15 (step @p33 :rule symm :premises (@p32)) % 5.94/6.15 (step @p34 :rule eq-symm :args (@t15 @t10)) % 5.94/6.15 (step @p35 :rule cong :premises (@p34) :args (@t17)) % 5.94/6.15 (step @p36 :rule eq_resolve :premises (@p5 @p35)) % 5.94/6.15 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t26))) % 5.94/6.15 (step @p38 :rule refl :args (@t33)) % 5.94/6.15 (step @p39 :rule cong :premises (@p38 @p37) :args (@t34)) % 5.94/6.15 (step @p40 :rule eq-symm :args (@t34 @t29)) % 5.94/6.15 (step @p41 :rule refl :args (@t14)) % 5.94/6.15 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t14 @t35))) % 5.94/6.15 (assume-push @p63 @t14) % 5.94/6.15 (step @p44 :rule instantiate :premises (@p3) :args ((@list tptp.fixed_pt @t26 @t26))) % 5.94/6.15 (step-pop @p64 :rule scope :premises (@p44)) % 5.94/6.15 (step @p45 :rule process_scope :premises (@p64) :args (@t35)) % 5.94/6.15 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 5.94/6.15 (step @p48 :rule implies_elim :premises (@p47)) % 5.94/6.15 (step @p49 :rule chain_m_resolution :premises (@p48 @p3) :args ((= @t29 @t34) (@list false) (@list @t14))) % 5.94/6.15 (step @p50 :rule trans :premises (@p49 @p39 @p33)) % 5.94/6.15 (step @p51 :rule cong :premises (@p50 @p31 @p24 @p30) :args (@t30)) % 5.94/6.15 (step @p52 :rule trans :premises (@p51 @p29)) % 5.94/6.15 (step @p53 :rule cong :premises (@p52 @p24) :args (@t32)) % 5.94/6.15 (step @p54 :rule trans :premises (@p53 @p23)) % 5.94/6.15 (step @p55 :rule eq_resolve :premises (@p54 @p17)) % 5.94/6.15 (step @p56 :rule false_elim :premises (@p55)) % 5.94/6.15 (assume-push @p65 @t36) % 5.94/6.15 (step @p58 :rule instantiate :premises (@p10) :args ((@list @t29 @t28 tptp.true))) % 5.94/6.15 (step-pop @p66 :rule scope :premises (@p58)) % 5.94/6.15 (step @p59 :rule process_scope :premises (@p66) :args (@t31)) % 5.94/6.15 (step @p61 :rule implies_elim :premises (@p59)) % 5.94/6.15 (step @p62 false :rule chain_m_resolution :premises (@p61 @p56 @p10) :args (false (@list true false) (@list @t31 @t36))) % 5.94/6.15 ) % 5.94/6.17 % SZS output end Proof % 5.94/6.18 % cvc5 exiting %------------------------------------------------------------------------------