%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT006-4 : 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 : n010.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 08:09:23 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 % 0.10/0.15 % Problem : CAT006-4 : TPTP v9.2.1. Released v1.0.0. % 0.10/0.16 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.38 % Computer : n010.cluster.edu % 0.17/0.38 % Model : x86_64 x86_64 % 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.38 % Memory : 8042.1875MB % 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.38 % CPULimit : 300 % 0.17/0.38 % WCLimit : 300 % 0.17/0.38 % DateTime : Wed Jun 3 02:54:12 EDT 2026 % 0.17/0.38 % CPUTime : % 0.24/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.55 --- 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 % 0.34/0.61 ( % 0.34/0.61 (declare-sort $$unsorted 0) % 0.34/0.61 (declare-const tptp.a $$unsorted) % 0.34/0.61 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.34/0.61 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.34/0.61 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.34/0.61 (declare-const tptp.d $$unsorted) % 0.34/0.61 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.61 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.34/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.34/0.61 (define @t2 () (tptp.there_exists @t1)) % 0.34/0.61 (define @t3 () (@var "Y" $$unsorted)) % 0.34/0.61 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.34/0.61 (define @t5 () (not @t4)) % 0.34/0.61 (define @t6 () (@list @t1 @t3)) % 0.34/0.61 (define @t7 () (= @t1 @t3)) % 0.34/0.61 (define @t8 () (tptp.domain @t1)) % 0.34/0.61 (define @t9 () (tptp.there_exists @t8)) % 0.34/0.61 (define @t10 () (not @t9)) % 0.34/0.61 (define @t11 () (@list @t1)) % 0.34/0.61 (define @t12 () (tptp.codomain @t1)) % 0.34/0.61 (define @t13 () (tptp.compose @t1 @t3)) % 0.34/0.61 (define @t14 () (tptp.there_exists @t13)) % 0.34/0.61 (define @t15 () (not @t14)) % 0.34/0.61 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.34/0.61 (define @t17 () (forall @t6 (or @t15 @t16))) % 0.34/0.61 (define @t18 () (@var "Z" $$unsorted)) % 0.34/0.61 (define @t19 () (tptp.compose @t1 @t8)) % 0.34/0.61 (define @t20 () (forall @t11 (= @t19 @t1))) % 0.34/0.61 (define @t21 () (tptp.there_exists (tptp.compose tptp.d tptp.a))) % 0.34/0.61 (define @t22 () (tptp.compose @t1 tptp.d)) % 0.34/0.61 (define @t23 () (tptp.compose tptp.d @t1)) % 0.34/0.61 (define @t24 () (not (tptp.there_exists @t23))) % 0.34/0.61 (define @t25 () (or @t24 (= @t23 @t1))) % 0.34/0.61 (define @t26 () (forall @t11 @t25)) % 0.34/0.61 (define @t27 () (tptp.codomain tptp.a)) % 0.34/0.61 (define @t28 () (tptp.domain tptp.d)) % 0.34/0.61 (define @t29 () (tptp.compose tptp.d @t28)) % 0.34/0.61 (define @t30 () (= @t28 @t29)) % 0.34/0.61 (define @t31 () (= @t29 @t28)) % 0.34/0.61 (define @t32 () (not @t21)) % 0.34/0.61 (define @t33 () (or @t32 (= @t28 @t27))) % 0.34/0.61 (define @t34 () (@list tptp.d tptp.a)) % 0.34/0.61 (define @t35 () (= @t27 @t28)) % 0.34/0.61 (define @t36 () (or @t32 @t35)) % 0.34/0.61 (define @t37 () (@list false false)) % 0.34/0.61 (define @t38 () (@list tptp.d)) % 0.34/0.61 (define @t39 () (tptp.there_exists @t28)) % 0.34/0.61 (define @t40 () (or @t32 @t39)) % 0.34/0.61 (define @t41 () (tptp.there_exists tptp.d)) % 0.34/0.61 (define @t42 () (not @t39)) % 0.34/0.61 (define @t43 () (or @t42 @t41)) % 0.34/0.61 (define @t44 () (tptp.there_exists @t29)) % 0.34/0.61 (define @t45 () (not @t44)) % 0.34/0.61 (define @t46 () (or @t45 @t30)) % 0.34/0.61 (define @t47 () (not @t46)) % 0.34/0.61 (define @t48 () (forall @t11 (or @t24 (= @t1 @t23)))) % 0.34/0.61 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.34/0.61 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.34/0.61 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.34/0.61 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.34/0.61 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.34/0.61 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.34/0.61 (assume @p7 @t17) % 0.34/0.61 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.34/0.61 (assume @p9 (forall (@list @t1 @t3 @t18) (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18)))) % 0.34/0.61 (assume @p10 @t20) % 0.34/0.61 (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1))) % 0.34/0.61 (assume @p12 @t21) % 0.34/0.61 (assume @p13 (forall @t11 (or (not (tptp.there_exists @t22)) (= @t22 @t1)))) % 0.34/0.61 (assume @p14 @t26) % 0.34/0.61 (assume @p15 (not (= @t27 tptp.d))) % 0.34/0.61 (step @p16 :rule eq-symm :args (@t23 @t1)) % 0.34/0.61 (step @p17 :rule refl :args (@t24)) % 0.34/0.61 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t25)) % 0.34/0.61 (step @p19 :rule cong :premises (@p18) :args (@t26)) % 0.34/0.61 (step @p20 :rule eq_resolve :premises (@p14 @p19)) % 0.34/0.61 (step @p21 :rule bool-eq-false :args (@t30)) % 0.34/0.61 (step @p22 :rule symm :premises (@p21)) % 0.34/0.61 (step @p23 :rule eq-symm :args (@t29 @t28)) % 0.34/0.61 (step @p24 :rule cong :premises (@p23) :args ((not @t31))) % 0.34/0.61 (step @p25 :rule bool-eq-false :args (@t31)) % 0.34/0.61 (step @p26 :rule trans :premises (@p25 @p24)) % 0.34/0.61 (step @p27 :rule trans :premises (@p26 @p22)) % 0.34/0.61 (step @p28 :rule symm :premises (@p15)) % 0.34/0.61 (step @p29 :rule false_intro :premises (@p28)) % 0.34/0.61 (step @p30 :rule eq-symm :args (@t28 @t27)) % 0.34/0.61 (step @p31 :rule refl :args (@t32)) % 0.34/0.61 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t33)) % 0.34/0.61 (step @p33 :rule refl :args (@t17)) % 0.34/0.61 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t17 @t33))) % 0.34/0.61 (assume-push @p76 @t17) % 0.34/0.61 (step @p36 :rule instantiate :premises (@p7) :args (@t34)) % 0.34/0.61 (step-pop @p77 :rule scope :premises (@p36)) % 0.34/0.61 (step @p37 :rule process_scope :premises (@p77) :args (@t33)) % 0.34/0.61 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.34/0.61 (step @p40 :rule implies_elim :premises (@p39)) % 0.34/0.61 (step @p41 :rule chain_m_resolution :premises (@p40 @p7) :args (@t36 (@list false) (@list @t17))) % 0.34/0.61 (step @p42 :rule cnf_or_pos :args (@t36)) % 0.34/0.61 (step @p43 :rule reordering :premises (@p42) :args ((or @t32 @t35 (not @t36)))) % 0.34/0.61 (step @p44 :rule chain_m_resolution :premises (@p43 @p12 @p41) :args (@t35 @t37 (@list @t21 @t36))) % 0.34/0.61 (step @p45 :rule symm :premises (@p44)) % 0.34/0.61 (step @p46 :rule eq-symm :args (@t19 @t1)) % 0.34/0.61 (step @p47 :rule cong :premises (@p46) :args (@t20)) % 0.34/0.61 (step @p48 :rule eq_resolve :premises (@p10 @p47)) % 0.34/0.61 (step @p49 :rule instantiate :premises (@p48) :args (@t38)) % 0.34/0.61 (step @p50 :rule symm :premises (@p49)) % 0.34/0.61 (step @p51 :rule cong :premises (@p50 @p45) :args (@t31)) % 0.34/0.61 (step @p52 :rule trans :premises (@p51 @p29)) % 0.34/0.61 (step @p53 :rule eq_resolve :premises (@p52 @p27)) % 0.34/0.61 (step @p54 :rule false_elim :premises (@p53)) % 0.34/0.61 (step @p55 :rule instantiate :premises (@p4) :args (@t38)) % 0.34/0.61 (step @p56 :rule instantiate :premises (@p6) :args (@t34)) % 0.34/0.61 (step @p57 :rule cnf_or_pos :args (@t40)) % 0.34/0.61 (step @p58 :rule reordering :premises (@p57) :args ((or @t32 @t39 (not @t40)))) % 0.34/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p12 @p56) :args (@t39 @t37 (@list @t21 @t40))) % 0.34/0.61 (step @p60 :rule cnf_or_pos :args (@t43)) % 0.34/0.61 (step @p61 :rule reordering :premises (@p60) :args ((or @t42 @t41 (not @t43)))) % 0.34/0.61 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (@t41 @t37 (@list @t39 @t43))) % 0.34/0.61 (step @p63 :rule true_intro :premises (@p62)) % 0.34/0.61 (step @p64 :rule cong :premises (@p50) :args (@t44)) % 0.34/0.61 (step @p65 :rule trans :premises (@p64 @p63)) % 0.34/0.61 (step @p66 :rule true_elim :premises (@p65)) % 0.34/0.61 (step @p67 :rule cnf_or_pos :args (@t46)) % 0.34/0.61 (step @p68 :rule reordering :premises (@p67) :args ((or @t45 @t30 @t47))) % 0.34/0.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p54) :args (@t47 (@list false true) (@list @t44 @t30))) % 0.34/0.61 (assume-push @p78 @t48) % 0.34/0.61 (step @p71 :rule instantiate :premises (@p20) :args ((@list @t28))) % 0.34/0.61 (step-pop @p79 :rule scope :premises (@p71)) % 0.34/0.61 (step @p72 :rule process_scope :premises (@p79) :args (@t46)) % 0.34/0.61 (step @p74 :rule implies_elim :premises (@p72)) % 0.34/0.61 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p20) :args (false (@list true false) (@list @t46 @t48))) % 0.34/0.61 ) % 0.34/0.61 % SZS output end Proof % 0.34/0.61 % cvc5 exiting %------------------------------------------------------------------------------