%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT016-3 : 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 : n026.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 08:09:26 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.60s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : CAT016-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.37 % Computer : n026.cluster.edu % 0.18/0.37 % Model : x86_64 x86_64 % 0.18/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.37 % Memory : 8042.1875MB % 0.18/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.37 % CPULimit : 300 % 0.18/0.37 % WCLimit : 300 % 0.18/0.37 % DateTime : Wed Jun 3 02:55:58 EDT 2026 % 0.18/0.37 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.60 % SZS status Unsatisfiable % 0.34/0.60 % SZS output start Proof % 0.34/0.60 ( % 0.34/0.60 (declare-sort $$unsorted 0) % 0.34/0.60 (declare-const tptp.a $$unsorted) % 0.34/0.60 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.60 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/0.60 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/0.60 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.34/0.60 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.60 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.34/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.34/0.60 (define @t2 () (tptp.there_exists @t1)) % 0.34/0.60 (define @t3 () (@var "Y" $$unsorted)) % 0.34/0.60 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.34/0.60 (define @t5 () (not @t4)) % 0.34/0.60 (define @t6 () (@list @t1 @t3)) % 0.34/0.60 (define @t7 () (= @t1 @t3)) % 0.34/0.60 (define @t8 () (not @t7)) % 0.34/0.60 (define @t9 () (not @t2)) % 0.34/0.60 (define @t10 () (tptp.domain @t1)) % 0.34/0.60 (define @t11 () (tptp.there_exists @t10)) % 0.34/0.60 (define @t12 () (not @t11)) % 0.34/0.60 (define @t13 () (@list @t1)) % 0.34/0.60 (define @t14 () (tptp.codomain @t1)) % 0.34/0.60 (define @t15 () (tptp.there_exists @t14)) % 0.34/0.60 (define @t16 () (tptp.compose @t1 @t3)) % 0.34/0.60 (define @t17 () (tptp.there_exists @t16)) % 0.34/0.60 (define @t18 () (not @t17)) % 0.34/0.60 (define @t19 () (forall @t6 (or @t18 @t11))) % 0.34/0.60 (define @t20 () (= @t10 (tptp.codomain @t3))) % 0.34/0.60 (define @t21 () (@var "Z" $$unsorted)) % 0.34/0.60 (define @t22 () (tptp.compose @t1 @t10)) % 0.34/0.60 (define @t23 () (forall @t13 (= @t22 @t1))) % 0.34/0.60 (define @t24 () (tptp.there_exists @t3)) % 0.34/0.60 (define @t25 () (tptp.f1 @t1 @t3)) % 0.34/0.60 (define @t26 () (= @t3 @t25)) % 0.34/0.60 (define @t27 () (= @t1 @t25)) % 0.34/0.60 (define @t28 () (tptp.domain tptp.a)) % 0.34/0.60 (define @t29 () (tptp.there_exists @t28)) % 0.34/0.60 (define @t30 () (tptp.there_exists (tptp.compose tptp.a @t28))) % 0.34/0.60 (define @t31 () (not @t30)) % 0.34/0.60 (define @t32 () (or @t31 @t29)) % 0.34/0.60 (define @t33 () (not @t32)) % 0.34/0.60 (define @t34 () (@list true false)) % 0.34/0.60 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.34/0.60 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.34/0.60 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.34/0.60 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.34/0.60 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.34/0.60 (assume @p6 @t19) % 0.34/0.60 (assume @p7 (forall @t6 (or @t18 @t20))) % 0.34/0.60 (assume @p8 (forall @t6 (or @t12 (not @t20) @t17))) % 0.34/0.60 (assume @p9 (forall (@list @t1 @t3 @t21) (= (tptp.compose @t1 (tptp.compose @t3 @t21)) (tptp.compose @t16 @t21)))) % 0.34/0.60 (assume @p10 @t23) % 0.34/0.60 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.34/0.60 (assume @p12 (forall @t6 (or @t5 @t24))) % 0.34/0.60 (assume @p13 (forall @t6 (or @t9 (not @t24) @t8 @t4))) % 0.34/0.60 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.34/0.60 (assume @p15 (forall @t6 (or (tptp.there_exists @t25) @t7))) % 0.34/0.60 (assume @p16 (forall @t6 (or @t27 @t26 @t7))) % 0.34/0.60 (assume @p17 (forall @t6 (or (not @t27) (not @t26) @t7))) % 0.34/0.60 (assume @p18 (tptp.there_exists tptp.a)) % 0.34/0.60 (assume @p19 (not @t29)) % 0.34/0.60 (step @p20 :rule true_intro :premises (@p18)) % 0.34/0.60 (step @p21 :rule eq-symm :args (@t22 @t1)) % 0.34/0.60 (step @p22 :rule cong :premises (@p21) :args (@t23)) % 0.34/0.60 (step @p23 :rule eq_resolve :premises (@p10 @p22)) % 0.34/0.60 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.a))) % 0.34/0.60 (step @p25 :rule symm :premises (@p24)) % 0.34/0.60 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.34/0.60 (step @p27 :rule trans :premises (@p26 @p20)) % 0.34/0.60 (step @p28 :rule true_elim :premises (@p27)) % 0.34/0.60 (step @p29 :rule cnf_or_pos :args (@t32)) % 0.34/0.60 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t31 @t33))) % 0.34/0.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p19 @p28) :args (@t33 @t34 (@list @t29 @t30))) % 0.34/0.60 (assume-push @p38 @t19) % 0.34/0.60 (step @p33 :rule instantiate :premises (@p6) :args ((@list tptp.a @t28))) % 0.34/0.60 (step-pop @p39 :rule scope :premises (@p33)) % 0.34/0.60 (step @p34 :rule process_scope :premises (@p39) :args (@t32)) % 0.34/0.60 (step @p36 :rule implies_elim :premises (@p34)) % 0.34/0.60 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p6) :args (false @t34 (@list @t32 @t19))) % 0.34/0.60 ) % 0.34/0.61 % SZS output end Proof % 0.34/0.61 % cvc5 exiting %------------------------------------------------------------------------------