%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT013-3 : 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 : n018.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 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT013-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:55:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.a $$unsorted) % 0.30/0.55 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t2 () (tptp.there_exists @t1)) % 0.30/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.30/0.55 (define @t5 () (not @t4)) % 0.30/0.55 (define @t6 () (@list @t1 @t3)) % 0.30/0.55 (define @t7 () (= @t1 @t3)) % 0.30/0.55 (define @t8 () (not @t7)) % 0.30/0.55 (define @t9 () (not @t2)) % 0.30/0.55 (define @t10 () (tptp.domain @t1)) % 0.30/0.55 (define @t11 () (tptp.there_exists @t10)) % 0.30/0.55 (define @t12 () (not @t11)) % 0.30/0.55 (define @t13 () (@list @t1)) % 0.30/0.55 (define @t14 () (tptp.codomain @t1)) % 0.30/0.55 (define @t15 () (tptp.there_exists @t14)) % 0.30/0.55 (define @t16 () (tptp.compose @t1 @t3)) % 0.30/0.55 (define @t17 () (tptp.there_exists @t16)) % 0.30/0.55 (define @t18 () (not @t17)) % 0.30/0.55 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.30/0.55 (define @t20 () (forall @t6 (or @t18 @t19))) % 0.30/0.55 (define @t21 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t22 () (tptp.compose @t14 @t1)) % 0.30/0.55 (define @t23 () (forall @t13 (= @t22 @t1))) % 0.30/0.55 (define @t24 () (tptp.there_exists @t3)) % 0.30/0.55 (define @t25 () (tptp.f1 @t1 @t3)) % 0.30/0.55 (define @t26 () (= @t3 @t25)) % 0.30/0.55 (define @t27 () (= @t1 @t25)) % 0.30/0.55 (define @t28 () (tptp.codomain tptp.a)) % 0.30/0.55 (define @t29 () (tptp.there_exists @t28)) % 0.30/0.55 (define @t30 () (tptp.domain @t28)) % 0.30/0.55 (define @t31 () (= @t30 @t28)) % 0.30/0.55 (define @t32 () (@list tptp.a)) % 0.30/0.55 (define @t33 () (tptp.there_exists tptp.a)) % 0.30/0.55 (define @t34 () (not @t29)) % 0.30/0.55 (define @t35 () (or @t34 @t33)) % 0.30/0.55 (define @t36 () (tptp.there_exists (tptp.compose @t28 tptp.a))) % 0.30/0.55 (define @t37 () (= @t28 @t30)) % 0.30/0.55 (define @t38 () (not @t36)) % 0.30/0.55 (define @t39 () (or @t38 @t37)) % 0.30/0.55 (define @t40 () (not @t39)) % 0.30/0.55 (define @t41 () (@list true false)) % 0.30/0.55 (define @t42 () (or @t38 @t31)) % 0.30/0.55 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.30/0.55 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.30/0.55 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.30/0.55 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.30/0.55 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.30/0.55 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.30/0.55 (assume @p7 @t20) % 0.30/0.55 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.30/0.55 (assume @p9 (forall (@list @t1 @t3 @t21) (= (tptp.compose @t1 (tptp.compose @t3 @t21)) (tptp.compose @t16 @t21)))) % 0.30/0.55 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.30/0.55 (assume @p11 @t23) % 0.30/0.55 (assume @p12 (forall @t6 (or @t5 @t24))) % 0.30/0.55 (assume @p13 (forall @t6 (or @t9 (not @t24) @t8 @t4))) % 0.30/0.55 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.30/0.55 (assume @p15 (forall @t6 (or (tptp.there_exists @t25) @t7))) % 0.30/0.55 (assume @p16 (forall @t6 (or @t27 @t26 @t7))) % 0.30/0.55 (assume @p17 (forall @t6 (or (not @t27) (not @t26) @t7))) % 0.30/0.55 (assume @p18 @t29) % 0.30/0.55 (assume @p19 (not @t31)) % 0.30/0.55 (step @p20 :rule instantiate :premises (@p5) :args (@t32)) % 0.30/0.55 (step @p21 :rule cnf_or_pos :args (@t35)) % 0.30/0.55 (step @p22 :rule reordering :premises (@p21) :args ((or @t34 @t33 (not @t35)))) % 0.30/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p18 @p20) :args (@t33 (@list false false) (@list @t29 @t35))) % 0.30/0.55 (step @p24 :rule true_intro :premises (@p23)) % 0.30/0.55 (step @p25 :rule eq-symm :args (@t22 @t1)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25) :args (@t23)) % 0.30/0.55 (step @p27 :rule eq_resolve :premises (@p11 @p26)) % 0.30/0.55 (step @p28 :rule instantiate :premises (@p27) :args (@t32)) % 0.30/0.55 (step @p29 :rule symm :premises (@p28)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29) :args (@t36)) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p24)) % 0.30/0.55 (step @p32 :rule true_elim :premises (@p31)) % 0.30/0.55 (step @p33 :rule symm :premises (@p19)) % 0.30/0.55 (step @p34 :rule cnf_or_pos :args (@t39)) % 0.30/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t37 @t38 @t40))) % 0.30/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t40 @t41 (@list @t37 @t36))) % 0.30/0.55 (step @p37 :rule eq-symm :args (@t30 @t28)) % 0.30/0.55 (step @p38 :rule refl :args (@t38)) % 0.30/0.55 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t42)) % 0.30/0.55 (step @p40 :rule refl :args (@t20)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t20 @t42))) % 0.30/0.55 (assume-push @p49 @t20) % 0.30/0.55 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.a))) % 0.30/0.55 (step-pop @p50 :rule scope :premises (@p43)) % 0.30/0.55 (step @p44 :rule process_scope :premises (@p50) :args (@t42)) % 0.30/0.55 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.30/0.55 (step @p47 :rule implies_elim :premises (@p46)) % 0.30/0.55 (step @p48 false :rule chain_m_resolution :premises (@p47 @p36 @p7) :args (false @t41 (@list @t39 @t20))) % 0.30/0.55 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------