%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP209_1 : TPTP v9.2.1. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:25:24 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP209_1 : TPTP v9.2.1. Released v8.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 04:19:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort tptp.bool 0) % 0.15/0.39 (declare-sort tptp.fun_a_a 0) % 0.15/0.39 (declare-sort tptp.a 0) % 0.15/0.39 (declare-sort tptp.fun_a_fun_a_a 0) % 0.15/0.39 (declare-const tptp.a2 tptp.a) % 0.15/0.39 (declare-const tptp.c tptp.a) % 0.15/0.39 (declare-const tptp.b tptp.a) % 0.15/0.39 (declare-const tptp.fFalse tptp.bool) % 0.15/0.39 (declare-const tptp.pp (-> tptp.bool Bool)) % 0.15/0.39 (declare-const tptp.fTrue tptp.bool) % 0.15/0.39 (declare-const tptp.aa_a_a (-> tptp.fun_a_a tptp.a tptp.a)) % 0.15/0.39 (declare-const tptp.aa_a_fun_a_a (-> tptp.fun_a_fun_a_a tptp.a tptp.fun_a_a)) % 0.15/0.39 (declare-const tptp.syntax_ac_operator_a (-> tptp.fun_a_fun_a_a Bool)) % 0.15/0.39 (declare-const tptp.f tptp.fun_a_fun_a_a) % 0.15/0.39 (define @t1 () (@var "A" tptp.a)) % 0.15/0.39 (define @t2 () (@var "B" tptp.a)) % 0.15/0.39 (define @t3 () (tptp.aa_a_fun_a_a tptp.f @t2)) % 0.15/0.39 (define @t4 () (tptp.aa_a_fun_a_a tptp.f @t1)) % 0.15/0.39 (define @t5 () (tptp.aa_a_a @t4 @t2)) % 0.15/0.39 (define @t6 () (@var "C" tptp.a)) % 0.15/0.39 (define @t7 () (tptp.aa_a_a @t4 (tptp.aa_a_a @t3 @t6))) % 0.15/0.39 (define @t8 () (@list @t1 @t2 @t6)) % 0.15/0.39 (define @t9 () (forall @t8 (= @t7 (tptp.aa_a_a @t3 (tptp.aa_a_a @t4 @t6))))) % 0.15/0.39 (define @t10 () (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f @t5) @t6)) % 0.15/0.39 (define @t11 () (forall @t8 (= @t10 @t7))) % 0.15/0.39 (define @t12 () (@var "F" tptp.fun_a_fun_a_a)) % 0.15/0.39 (define @t13 () (tptp.syntax_ac_operator_a @t12)) % 0.15/0.39 (define @t14 () (@var "A2" tptp.a)) % 0.15/0.39 (define @t15 () (@var "B2" tptp.a)) % 0.15/0.39 (define @t16 () (tptp.aa_a_fun_a_a @t12 @t15)) % 0.15/0.39 (define @t17 () (tptp.aa_a_fun_a_a @t12 @t14)) % 0.15/0.39 (define @t18 () (tptp.aa_a_a @t17 @t15)) % 0.15/0.39 (define @t19 () (@var "C2" tptp.a)) % 0.15/0.39 (define @t20 () (@list @t12)) % 0.15/0.39 (define @t21 () (tptp.aa_a_fun_a_a @t12 @t2)) % 0.15/0.39 (define @t22 () (tptp.aa_a_fun_a_a @t12 @t1)) % 0.15/0.39 (define @t23 () (tptp.aa_a_a @t22 @t2)) % 0.15/0.39 (define @t24 () (tptp.aa_a_a (tptp.aa_a_fun_a_a @t12 @t23) @t6)) % 0.15/0.39 (define @t25 () (tptp.aa_a_a @t22 (tptp.aa_a_a @t21 @t6))) % 0.15/0.39 (define @t26 () (@list @t12 @t1 @t2 @t6)) % 0.15/0.39 (define @t27 () (@var "A3" tptp.a)) % 0.15/0.39 (define @t28 () (@var "B3" tptp.a)) % 0.15/0.39 (define @t29 () (tptp.aa_a_fun_a_a @t12 @t28)) % 0.15/0.39 (define @t30 () (tptp.aa_a_fun_a_a @t12 @t27)) % 0.15/0.39 (define @t31 () (tptp.aa_a_a @t30 @t28)) % 0.15/0.39 (define @t32 () (@var "C3" tptp.a)) % 0.15/0.39 (define @t33 () (tptp.aa_a_fun_a_a tptp.f tptp.a2)) % 0.15/0.39 (define @t34 () (tptp.aa_a_a @t33 tptp.c)) % 0.15/0.39 (define @t35 () (tptp.aa_a_fun_a_a tptp.f tptp.b)) % 0.15/0.39 (define @t36 () (tptp.aa_a_a @t33 (tptp.aa_a_a @t35 tptp.c))) % 0.15/0.39 (define @t37 () (tptp.aa_a_a @t35 @t34)) % 0.15/0.39 (define @t38 () (= @t37 @t36)) % 0.15/0.39 (define @t39 () (= @t36 @t37)) % 0.15/0.39 (assume @p1 (tptp.syntax_ac_operator_a tptp.f)) % 0.15/0.39 (assume @p2 (forall (@list @t1 @t2) (= @t5 (tptp.aa_a_a @t3 @t1)))) % 0.15/0.39 (assume @p3 @t9) % 0.15/0.39 (assume @p4 @t11) % 0.15/0.39 (assume @p5 (forall @t20 (=> (forall (@list @t14 @t15 @t19) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a @t12 @t18) @t19) (tptp.aa_a_a @t17 (tptp.aa_a_a @t16 @t19)))) (=> (forall (@list @t14 @t15) (= @t18 (tptp.aa_a_a @t16 @t14))) @t13)))) % 0.15/0.39 (assume @p6 (forall (@list @t12 @t1 @t2) (=> @t13 (= @t23 (tptp.aa_a_a @t21 @t1))))) % 0.15/0.39 (assume @p7 (forall @t26 (=> @t13 (= @t25 @t24)))) % 0.15/0.39 (assume @p8 (forall @t26 (=> @t13 (= @t24 @t25)))) % 0.15/0.39 (assume @p9 (forall @t26 (=> @t13 (= @t25 (tptp.aa_a_a @t21 (tptp.aa_a_a @t22 @t6)))))) % 0.15/0.39 (assume @p10 (forall @t20 (= @t13 (and (forall (@list @t27 @t28 @t32) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a @t12 @t31) @t32) (tptp.aa_a_a @t30 (tptp.aa_a_a @t29 @t32)))) (forall (@list @t27 @t28) (= @t31 (tptp.aa_a_a @t29 @t27))))))) % 0.15/0.39 (assume @p11 (tptp.pp tptp.fTrue)) % 0.15/0.39 (assume @p12 (not (tptp.pp tptp.fFalse))) % 0.15/0.39 (assume @p13 (not (= (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f (tptp.aa_a_a @t33 tptp.b)) tptp.c) (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f @t34) tptp.b)))) % 0.15/0.39 (assume @p14 true) % 0.15/0.39 (step @p15 :rule bool-eq-false :args (@t38)) % 0.15/0.39 (step @p16 :rule symm :premises (@p15)) % 0.15/0.39 (step @p17 :rule eq-symm :args (@t36 @t37)) % 0.15/0.39 (step @p18 :rule cong :premises (@p17) :args ((not @t39))) % 0.15/0.39 (step @p19 :rule bool-eq-false :args (@t39)) % 0.15/0.39 (step @p20 :rule trans :premises (@p19 @p18)) % 0.15/0.39 (step @p21 :rule trans :premises (@p20 @p16)) % 0.15/0.39 (step @p22 :rule false_intro :premises (@p13)) % 0.15/0.39 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t34 tptp.b))) % 0.15/0.39 (step @p24 :rule symm :premises (@p23)) % 0.15/0.39 (step @p25 :rule eq-symm :args (@t10 @t7)) % 0.15/0.39 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.15/0.39 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 0.15/0.39 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.a2 tptp.b tptp.c))) % 0.15/0.39 (step @p29 :rule cong :premises (@p28 @p24) :args (@t39)) % 0.15/0.39 (step @p30 :rule trans :premises (@p29 @p22)) % 0.15/0.39 (step @p31 :rule eq_resolve :premises (@p30 @p21)) % 0.15/0.39 (step @p32 :rule false_elim :premises (@p31)) % 0.15/0.39 (assume-push @p39 @t9) % 0.15/0.39 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.a2 tptp.c))) % 0.15/0.39 (step-pop @p40 :rule scope :premises (@p34)) % 0.15/0.39 (step @p35 :rule process_scope :premises (@p40) :args (@t38)) % 0.15/0.39 (step @p37 :rule implies_elim :premises (@p35)) % 0.15/0.39 (step @p38 false :rule chain_m_resolution :premises (@p37 @p32 @p3) :args (false (@list true false) (@list @t38 @t9))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------