%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT005-3 : 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 : n006.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 0.88s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.26 % Problem : CAT005-3 : TPTP v9.2.1. Released v1.0.0. % 0.14/0.27 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.49 % Computer : n006.cluster.edu % 0.18/0.49 % Model : x86_64 x86_64 % 0.18/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.49 % Memory : 8042.1875MB % 0.18/0.49 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.49 % CPULimit : 300 % 0.18/0.49 % WCLimit : 300 % 0.18/0.49 % DateTime : Wed Jun 3 02:53:38 EDT 2026 % 0.18/0.49 % CPUTime : % 0.36/0.81 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.88 % SZS status Unsatisfiable % 0.36/0.88 % SZS output start Proof % 0.36/0.88 ( % 0.36/0.88 (declare-sort $$unsorted 0) % 0.36/0.88 (declare-const tptp.d $$unsorted) % 0.36/0.88 (declare-const tptp.a $$unsorted) % 0.36/0.88 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.88 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.36/0.88 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.36/0.88 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.36/0.88 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.88 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.36/0.88 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.88 (define @t2 () (tptp.there_exists @t1)) % 0.36/0.88 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.88 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.36/0.88 (define @t5 () (not @t4)) % 0.36/0.88 (define @t6 () (@list @t1 @t3)) % 0.36/0.88 (define @t7 () (= @t1 @t3)) % 0.36/0.88 (define @t8 () (not @t7)) % 0.36/0.88 (define @t9 () (not @t2)) % 0.36/0.88 (define @t10 () (tptp.domain @t1)) % 0.36/0.88 (define @t11 () (tptp.there_exists @t10)) % 0.36/0.88 (define @t12 () (not @t11)) % 0.36/0.88 (define @t13 () (@list @t1)) % 0.36/0.88 (define @t14 () (tptp.codomain @t1)) % 0.36/0.88 (define @t15 () (tptp.there_exists @t14)) % 0.36/0.88 (define @t16 () (tptp.compose @t1 @t3)) % 0.36/0.88 (define @t17 () (tptp.there_exists @t16)) % 0.36/0.88 (define @t18 () (not @t17)) % 0.36/0.88 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.36/0.88 (define @t20 () (@var "Z" $$unsorted)) % 0.36/0.88 (define @t21 () (tptp.compose @t14 @t1)) % 0.36/0.88 (define @t22 () (forall @t13 (= @t21 @t1))) % 0.36/0.88 (define @t23 () (tptp.there_exists @t3)) % 0.36/0.88 (define @t24 () (tptp.f1 @t1 @t3)) % 0.36/0.88 (define @t25 () (= @t3 @t24)) % 0.36/0.88 (define @t26 () (= @t1 @t24)) % 0.36/0.88 (define @t27 () (tptp.there_exists (tptp.compose tptp.a tptp.d))) % 0.36/0.88 (define @t28 () (tptp.compose @t1 tptp.d)) % 0.36/0.88 (define @t29 () (not (tptp.there_exists @t28))) % 0.36/0.88 (define @t30 () (or @t29 (= @t28 @t1))) % 0.36/0.88 (define @t31 () (forall @t13 @t30)) % 0.36/0.88 (define @t32 () (tptp.compose tptp.d @t3)) % 0.36/0.88 (define @t33 () (tptp.domain tptp.a)) % 0.36/0.88 (define @t34 () (tptp.codomain tptp.d)) % 0.36/0.88 (define @t35 () (tptp.compose @t34 tptp.d)) % 0.36/0.88 (define @t36 () (= @t34 @t35)) % 0.36/0.88 (define @t37 () (= @t35 @t34)) % 0.36/0.88 (define @t38 () (@list tptp.a tptp.d)) % 0.36/0.88 (define @t39 () (= @t33 @t34)) % 0.36/0.88 (define @t40 () (not @t27)) % 0.36/0.88 (define @t41 () (or @t40 @t39)) % 0.36/0.88 (define @t42 () (@list false false)) % 0.36/0.88 (define @t43 () (@list tptp.d)) % 0.36/0.88 (define @t44 () (tptp.there_exists @t33)) % 0.36/0.88 (define @t45 () (or @t40 @t44)) % 0.36/0.88 (define @t46 () (tptp.there_exists @t34)) % 0.36/0.88 (define @t47 () (tptp.there_exists tptp.d)) % 0.36/0.88 (define @t48 () (not @t46)) % 0.36/0.88 (define @t49 () (or @t48 @t47)) % 0.36/0.88 (define @t50 () (tptp.there_exists @t35)) % 0.36/0.88 (define @t51 () (not @t50)) % 0.36/0.88 (define @t52 () (or @t51 @t36)) % 0.36/0.88 (define @t53 () (not @t52)) % 0.36/0.88 (define @t54 () (forall @t13 (or @t29 (= @t1 @t28)))) % 0.36/0.88 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.36/0.88 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.36/0.88 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.36/0.88 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.36/0.88 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.36/0.88 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.36/0.88 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.36/0.88 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.36/0.88 (assume @p9 (forall (@list @t1 @t3 @t20) (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.36/0.88 (assume @p10 (forall @t13 (= (tptp.compose @t1 @t10) @t1))) % 0.36/0.88 (assume @p11 @t22) % 0.36/0.88 (assume @p12 (forall @t6 (or @t5 @t23))) % 0.36/0.88 (assume @p13 (forall @t6 (or @t9 (not @t23) @t8 @t4))) % 0.36/0.88 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.36/0.88 (assume @p15 (forall @t6 (or (tptp.there_exists @t24) @t7))) % 0.36/0.88 (assume @p16 (forall @t6 (or @t26 @t25 @t7))) % 0.36/0.88 (assume @p17 (forall @t6 (or (not @t26) (not @t25) @t7))) % 0.36/0.88 (assume @p18 @t27) % 0.36/0.88 (assume @p19 @t31) % 0.36/0.88 (assume @p20 (forall (@list @t3) (or (not (tptp.there_exists @t32)) (= @t32 @t3)))) % 0.36/0.88 (assume @p21 (not (= @t33 tptp.d))) % 0.36/0.88 (step @p22 :rule eq-symm :args (@t28 @t1)) % 0.36/0.88 (step @p23 :rule refl :args (@t29)) % 0.36/0.88 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t30)) % 0.36/0.88 (step @p25 :rule cong :premises (@p24) :args (@t31)) % 0.36/0.88 (step @p26 :rule eq_resolve :premises (@p19 @p25)) % 0.36/0.88 (step @p27 :rule bool-eq-false :args (@t36)) % 0.36/0.88 (step @p28 :rule symm :premises (@p27)) % 0.36/0.88 (step @p29 :rule eq-symm :args (@t35 @t34)) % 0.36/0.88 (step @p30 :rule cong :premises (@p29) :args ((not @t37))) % 0.36/0.88 (step @p31 :rule bool-eq-false :args (@t37)) % 0.36/0.88 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.88 (step @p33 :rule trans :premises (@p32 @p28)) % 0.36/0.88 (step @p34 :rule symm :premises (@p21)) % 0.36/0.88 (step @p35 :rule false_intro :premises (@p34)) % 0.36/0.88 (step @p36 :rule instantiate :premises (@p7) :args (@t38)) % 0.36/0.88 (step @p37 :rule cnf_or_pos :args (@t41)) % 0.36/0.88 (step @p38 :rule reordering :premises (@p37) :args ((or @t40 @t39 (not @t41)))) % 0.36/0.88 (step @p39 :rule chain_m_resolution :premises (@p38 @p18 @p36) :args (@t39 @t42 (@list @t27 @t41))) % 0.36/0.88 (step @p40 :rule symm :premises (@p39)) % 0.36/0.88 (step @p41 :rule eq-symm :args (@t21 @t1)) % 0.36/0.88 (step @p42 :rule cong :premises (@p41) :args (@t22)) % 0.36/0.88 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 0.36/0.88 (step @p44 :rule instantiate :premises (@p43) :args (@t43)) % 0.36/0.88 (step @p45 :rule symm :premises (@p44)) % 0.36/0.88 (step @p46 :rule cong :premises (@p45 @p40) :args (@t37)) % 0.36/0.88 (step @p47 :rule trans :premises (@p46 @p35)) % 0.36/0.88 (step @p48 :rule eq_resolve :premises (@p47 @p33)) % 0.36/0.88 (step @p49 :rule false_elim :premises (@p48)) % 0.36/0.88 (step @p50 :rule instantiate :premises (@p5) :args (@t43)) % 0.36/0.88 (step @p51 :rule instantiate :premises (@p6) :args (@t38)) % 0.36/0.88 (step @p52 :rule cnf_or_pos :args (@t45)) % 0.36/0.88 (step @p53 :rule reordering :premises (@p52) :args ((or @t40 @t44 (not @t45)))) % 0.36/0.88 (step @p54 :rule chain_m_resolution :premises (@p53 @p18 @p51) :args (@t44 @t42 (@list @t27 @t45))) % 0.36/0.88 (step @p55 :rule true_intro :premises (@p54)) % 0.36/0.88 (step @p56 :rule cong :premises (@p40) :args (@t46)) % 0.36/0.88 (step @p57 :rule trans :premises (@p56 @p55)) % 0.36/0.88 (step @p58 :rule true_elim :premises (@p57)) % 0.36/0.88 (step @p59 :rule cnf_or_pos :args (@t49)) % 0.36/0.88 (step @p60 :rule reordering :premises (@p59) :args ((or @t48 @t47 (not @t49)))) % 0.36/0.88 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p50) :args (@t47 @t42 (@list @t46 @t49))) % 0.36/0.88 (step @p62 :rule true_intro :premises (@p61)) % 0.36/0.88 (step @p63 :rule cong :premises (@p45) :args (@t50)) % 0.36/0.88 (step @p64 :rule trans :premises (@p63 @p62)) % 0.36/0.88 (step @p65 :rule true_elim :premises (@p64)) % 0.36/0.88 (step @p66 :rule cnf_or_pos :args (@t52)) % 0.36/0.88 (step @p67 :rule reordering :premises (@p66) :args ((or @t51 @t36 @t53))) % 0.36/0.88 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p49) :args (@t53 (@list false true) (@list @t50 @t36))) % 0.36/0.88 (assume-push @p75 @t54) % 0.36/0.88 (step @p70 :rule instantiate :premises (@p26) :args ((@list @t34))) % 0.36/0.88 (step-pop @p76 :rule scope :premises (@p70)) % 0.36/0.88 (step @p71 :rule process_scope :premises (@p76) :args (@t52)) % 0.36/0.88 (step @p73 :rule implies_elim :premises (@p71)) % 0.36/0.88 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p26) :args (false (@list true false) (@list @t52 @t54))) % 0.36/0.88 ) % 0.36/0.88 % SZS output end Proof % 0.36/0.89 % cvc5 exiting %------------------------------------------------------------------------------