%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT005-4 : 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 : n019.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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT005-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:54:19 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.d $$unsorted) % 0.36/0.57 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.there_exists @t1)) % 0.36/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.36/0.57 (define @t5 () (not @t4)) % 0.36/0.57 (define @t6 () (@list @t1 @t3)) % 0.36/0.57 (define @t7 () (= @t1 @t3)) % 0.36/0.57 (define @t8 () (tptp.domain @t1)) % 0.36/0.57 (define @t9 () (tptp.there_exists @t8)) % 0.36/0.57 (define @t10 () (not @t9)) % 0.36/0.57 (define @t11 () (@list @t1)) % 0.36/0.57 (define @t12 () (tptp.codomain @t1)) % 0.36/0.57 (define @t13 () (tptp.compose @t1 @t3)) % 0.36/0.57 (define @t14 () (tptp.there_exists @t13)) % 0.36/0.57 (define @t15 () (not @t14)) % 0.36/0.57 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.36/0.57 (define @t17 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t18 () (tptp.compose @t12 @t1)) % 0.36/0.57 (define @t19 () (forall @t11 (= @t18 @t1))) % 0.36/0.57 (define @t20 () (tptp.there_exists (tptp.compose tptp.a tptp.d))) % 0.36/0.57 (define @t21 () (tptp.compose @t1 tptp.d)) % 0.36/0.57 (define @t22 () (not (tptp.there_exists @t21))) % 0.36/0.57 (define @t23 () (or @t22 (= @t21 @t1))) % 0.36/0.57 (define @t24 () (forall @t11 @t23)) % 0.36/0.57 (define @t25 () (tptp.compose tptp.d @t3)) % 0.36/0.57 (define @t26 () (tptp.domain tptp.a)) % 0.36/0.57 (define @t27 () (tptp.codomain tptp.d)) % 0.36/0.57 (define @t28 () (tptp.compose @t27 tptp.d)) % 0.36/0.57 (define @t29 () (= @t27 @t28)) % 0.36/0.57 (define @t30 () (= @t28 @t27)) % 0.36/0.57 (define @t31 () (@list tptp.a tptp.d)) % 0.36/0.57 (define @t32 () (= @t26 @t27)) % 0.36/0.57 (define @t33 () (not @t20)) % 0.36/0.57 (define @t34 () (or @t33 @t32)) % 0.36/0.57 (define @t35 () (@list false false)) % 0.36/0.57 (define @t36 () (@list tptp.d)) % 0.36/0.57 (define @t37 () (tptp.there_exists @t26)) % 0.36/0.57 (define @t38 () (or @t33 @t37)) % 0.36/0.57 (define @t39 () (tptp.there_exists @t27)) % 0.36/0.57 (define @t40 () (tptp.there_exists tptp.d)) % 0.36/0.57 (define @t41 () (not @t39)) % 0.36/0.57 (define @t42 () (or @t41 @t40)) % 0.36/0.57 (define @t43 () (tptp.there_exists @t28)) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (or @t44 @t29)) % 0.36/0.57 (define @t46 () (not @t45)) % 0.36/0.57 (define @t47 () (forall @t11 (or @t22 (= @t1 @t21)))) % 0.36/0.57 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.36/0.57 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.36/0.57 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.36/0.57 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.36/0.57 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.36/0.57 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.36/0.57 (assume @p7 (forall @t6 (or @t15 @t16))) % 0.36/0.57 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.36/0.57 (assume @p9 (forall (@list @t1 @t3 @t17) (= (tptp.compose @t1 (tptp.compose @t3 @t17)) (tptp.compose @t13 @t17)))) % 0.36/0.57 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.36/0.57 (assume @p11 @t19) % 0.36/0.57 (assume @p12 @t20) % 0.36/0.57 (assume @p13 @t24) % 0.36/0.57 (assume @p14 (forall (@list @t3) (or (not (tptp.there_exists @t25)) (= @t25 @t3)))) % 0.36/0.57 (assume @p15 (not (= @t26 tptp.d))) % 0.36/0.57 (step @p16 :rule eq-symm :args (@t21 @t1)) % 0.36/0.57 (step @p17 :rule refl :args (@t22)) % 0.36/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t23)) % 0.36/0.57 (step @p19 :rule cong :premises (@p18) :args (@t24)) % 0.36/0.57 (step @p20 :rule eq_resolve :premises (@p13 @p19)) % 0.36/0.57 (step @p21 :rule bool-eq-false :args (@t29)) % 0.36/0.57 (step @p22 :rule symm :premises (@p21)) % 0.36/0.57 (step @p23 :rule eq-symm :args (@t28 @t27)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23) :args ((not @t30))) % 0.36/0.57 (step @p25 :rule bool-eq-false :args (@t30)) % 0.36/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p22)) % 0.36/0.57 (step @p28 :rule symm :premises (@p15)) % 0.36/0.57 (step @p29 :rule false_intro :premises (@p28)) % 0.36/0.57 (step @p30 :rule instantiate :premises (@p7) :args (@t31)) % 0.36/0.57 (step @p31 :rule cnf_or_pos :args (@t34)) % 0.36/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t33 @t32 (not @t34)))) % 0.36/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p12 @p30) :args (@t32 @t35 (@list @t20 @t34))) % 0.36/0.57 (step @p34 :rule symm :premises (@p33)) % 0.36/0.57 (step @p35 :rule eq-symm :args (@t18 @t1)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.36/0.57 (step @p37 :rule eq_resolve :premises (@p11 @p36)) % 0.36/0.57 (step @p38 :rule instantiate :premises (@p37) :args (@t36)) % 0.36/0.57 (step @p39 :rule symm :premises (@p38)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39 @p34) :args (@t30)) % 0.36/0.57 (step @p41 :rule trans :premises (@p40 @p29)) % 0.36/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p27)) % 0.36/0.57 (step @p43 :rule false_elim :premises (@p42)) % 0.36/0.57 (step @p44 :rule instantiate :premises (@p5) :args (@t36)) % 0.36/0.57 (step @p45 :rule instantiate :premises (@p6) :args (@t31)) % 0.36/0.57 (step @p46 :rule cnf_or_pos :args (@t38)) % 0.36/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t33 @t37 (not @t38)))) % 0.36/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p12 @p45) :args (@t37 @t35 (@list @t20 @t38))) % 0.36/0.57 (step @p49 :rule true_intro :premises (@p48)) % 0.36/0.57 (step @p50 :rule cong :premises (@p34) :args (@t39)) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.57 (step @p52 :rule true_elim :premises (@p51)) % 0.36/0.57 (step @p53 :rule cnf_or_pos :args (@t42)) % 0.36/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t41 @t40 (not @t42)))) % 0.36/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p44) :args (@t40 @t35 (@list @t39 @t42))) % 0.36/0.57 (step @p56 :rule true_intro :premises (@p55)) % 0.36/0.57 (step @p57 :rule cong :premises (@p39) :args (@t43)) % 0.36/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.57 (step @p59 :rule true_elim :premises (@p58)) % 0.36/0.57 (step @p60 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t44 @t29 @t46))) % 0.36/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p43) :args (@t46 (@list false true) (@list @t43 @t29))) % 0.36/0.57 (assume-push @p69 @t47) % 0.36/0.57 (step @p64 :rule instantiate :premises (@p20) :args ((@list @t27))) % 0.36/0.57 (step-pop @p70 :rule scope :premises (@p64)) % 0.36/0.57 (step @p65 :rule process_scope :premises (@p70) :args (@t45)) % 0.36/0.57 (step @p67 :rule implies_elim :premises (@p65)) % 0.36/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p62 @p20) :args (false (@list true false) (@list @t45 @t47))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------