%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT013-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:09:25 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : CAT013-4 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n008.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:55:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.a $$unsorted) % 0.39/0.56 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (tptp.there_exists @t1)) % 0.39/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.39/0.56 (define @t5 () (not @t4)) % 0.39/0.56 (define @t6 () (@list @t1 @t3)) % 0.39/0.56 (define @t7 () (= @t1 @t3)) % 0.39/0.56 (define @t8 () (tptp.domain @t1)) % 0.39/0.56 (define @t9 () (tptp.there_exists @t8)) % 0.39/0.56 (define @t10 () (not @t9)) % 0.39/0.56 (define @t11 () (@list @t1)) % 0.39/0.56 (define @t12 () (tptp.codomain @t1)) % 0.39/0.56 (define @t13 () (tptp.compose @t1 @t3)) % 0.39/0.56 (define @t14 () (tptp.there_exists @t13)) % 0.39/0.56 (define @t15 () (not @t14)) % 0.39/0.56 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.39/0.56 (define @t17 () (forall @t6 (or @t15 @t16))) % 0.39/0.56 (define @t18 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t19 () (tptp.compose @t12 @t1)) % 0.39/0.56 (define @t20 () (forall @t11 (= @t19 @t1))) % 0.39/0.56 (define @t21 () (tptp.codomain tptp.a)) % 0.39/0.56 (define @t22 () (tptp.there_exists @t21)) % 0.39/0.56 (define @t23 () (tptp.domain @t21)) % 0.39/0.56 (define @t24 () (= @t23 @t21)) % 0.39/0.56 (define @t25 () (@list tptp.a)) % 0.39/0.56 (define @t26 () (tptp.there_exists tptp.a)) % 0.39/0.56 (define @t27 () (not @t22)) % 0.39/0.56 (define @t28 () (or @t27 @t26)) % 0.39/0.56 (define @t29 () (tptp.there_exists (tptp.compose @t21 tptp.a))) % 0.39/0.56 (define @t30 () (= @t21 @t23)) % 0.39/0.56 (define @t31 () (not @t29)) % 0.39/0.56 (define @t32 () (or @t31 @t30)) % 0.39/0.56 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (@list true false)) % 0.39/0.56 (define @t35 () (or @t31 @t24)) % 0.39/0.56 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.39/0.56 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.39/0.56 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.39/0.56 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.39/0.56 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.39/0.56 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.39/0.56 (assume @p7 @t17) % 0.39/0.56 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.39/0.56 (assume @p9 (forall (@list @t1 @t3 @t18) (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18)))) % 0.39/0.56 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.39/0.56 (assume @p11 @t20) % 0.39/0.56 (assume @p12 @t22) % 0.39/0.56 (assume @p13 (not @t24)) % 0.39/0.56 (step @p14 :rule instantiate :premises (@p5) :args (@t25)) % 0.39/0.56 (step @p15 :rule cnf_or_pos :args (@t28)) % 0.39/0.56 (step @p16 :rule reordering :premises (@p15) :args ((or @t27 @t26 (not @t28)))) % 0.39/0.56 (step @p17 :rule chain_m_resolution :premises (@p16 @p12 @p14) :args (@t26 (@list false false) (@list @t22 @t28))) % 0.39/0.56 (step @p18 :rule true_intro :premises (@p17)) % 0.39/0.56 (step @p19 :rule eq-symm :args (@t19 @t1)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t20)) % 0.39/0.56 (step @p21 :rule eq_resolve :premises (@p11 @p20)) % 0.39/0.56 (step @p22 :rule instantiate :premises (@p21) :args (@t25)) % 0.39/0.56 (step @p23 :rule symm :premises (@p22)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23) :args (@t29)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p18)) % 0.39/0.56 (step @p26 :rule true_elim :premises (@p25)) % 0.39/0.56 (step @p27 :rule symm :premises (@p13)) % 0.39/0.56 (step @p28 :rule cnf_or_pos :args (@t32)) % 0.39/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t30 @t31 @t33))) % 0.39/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26) :args (@t33 @t34 (@list @t30 @t29))) % 0.39/0.56 (step @p31 :rule eq-symm :args (@t23 @t21)) % 0.39/0.56 (step @p32 :rule refl :args (@t31)) % 0.39/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t35)) % 0.39/0.56 (step @p34 :rule refl :args (@t17)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t17 @t35))) % 0.39/0.56 (assume-push @p43 @t17) % 0.39/0.56 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t21 tptp.a))) % 0.39/0.56 (step-pop @p44 :rule scope :premises (@p37)) % 0.39/0.56 (step @p38 :rule process_scope :premises (@p44) :args (@t35)) % 0.39/0.56 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.39/0.56 (step @p41 :rule implies_elim :premises (@p40)) % 0.39/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p30 @p7) :args (false @t34 (@list @t32 @t17))) % 0.39/0.56 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------