%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT014-4 : 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 : n011.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT014-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:55:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.a $$unsorted) % 0.37/0.56 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.there_exists @t1)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.37/0.56 (define @t5 () (not @t4)) % 0.37/0.56 (define @t6 () (@list @t1 @t3)) % 0.37/0.56 (define @t7 () (= @t1 @t3)) % 0.37/0.56 (define @t8 () (tptp.domain @t1)) % 0.37/0.56 (define @t9 () (tptp.there_exists @t8)) % 0.37/0.56 (define @t10 () (not @t9)) % 0.37/0.56 (define @t11 () (@list @t1)) % 0.37/0.56 (define @t12 () (tptp.codomain @t1)) % 0.37/0.56 (define @t13 () (tptp.compose @t1 @t3)) % 0.37/0.56 (define @t14 () (tptp.there_exists @t13)) % 0.37/0.56 (define @t15 () (not @t14)) % 0.37/0.56 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.37/0.56 (define @t17 () (forall @t6 (or @t15 @t16))) % 0.37/0.56 (define @t18 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.compose @t12 @t1)) % 0.37/0.56 (define @t20 () (forall @t11 (= @t19 @t1))) % 0.37/0.56 (define @t21 () (tptp.codomain tptp.a)) % 0.37/0.56 (define @t22 () (tptp.there_exists @t21)) % 0.37/0.56 (define @t23 () (tptp.codomain @t21)) % 0.37/0.56 (define @t24 () (tptp.compose @t21 tptp.a)) % 0.37/0.56 (define @t25 () (tptp.codomain @t24)) % 0.37/0.56 (define @t26 () (tptp.domain @t23)) % 0.37/0.56 (define @t27 () (= @t26 @t25)) % 0.37/0.56 (define @t28 () (= @t25 @t26)) % 0.37/0.56 (define @t29 () (tptp.compose @t23 @t21)) % 0.37/0.56 (define @t30 () (tptp.there_exists @t29)) % 0.37/0.56 (define @t31 () (not @t30)) % 0.37/0.56 (define @t32 () (or @t31 (= @t26 @t23))) % 0.37/0.56 (define @t33 () (= @t23 @t26)) % 0.37/0.56 (define @t34 () (or @t31 @t33)) % 0.37/0.56 (define @t35 () (@list false false)) % 0.37/0.56 (define @t36 () (@list tptp.a)) % 0.37/0.56 (define @t37 () (tptp.there_exists tptp.a)) % 0.37/0.56 (define @t38 () (not @t22)) % 0.37/0.56 (define @t39 () (or @t38 @t37)) % 0.37/0.56 (define @t40 () (tptp.there_exists (tptp.compose @t23 @t24))) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (or @t41 @t27)) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.37/0.56 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.37/0.56 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.37/0.56 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.37/0.56 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.37/0.56 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.37/0.56 (assume @p7 @t17) % 0.37/0.56 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.37/0.56 (assume @p9 (forall (@list @t1 @t3 @t18) (= (tptp.compose @t1 (tptp.compose @t3 @t18)) (tptp.compose @t13 @t18)))) % 0.37/0.56 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.37/0.56 (assume @p11 @t20) % 0.37/0.56 (assume @p12 @t22) % 0.37/0.56 (assume @p13 (not (= @t23 @t21))) % 0.37/0.56 (step @p14 :rule bool-eq-false :args (@t27)) % 0.37/0.56 (step @p15 :rule symm :premises (@p14)) % 0.37/0.56 (step @p16 :rule eq-symm :args (@t25 @t26)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16) :args ((not @t28))) % 0.37/0.56 (step @p18 :rule bool-eq-false :args (@t28)) % 0.37/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p15)) % 0.37/0.56 (step @p21 :rule symm :premises (@p13)) % 0.37/0.56 (step @p22 :rule false_intro :premises (@p21)) % 0.37/0.56 (step @p23 :rule eq-symm :args (@t26 @t23)) % 0.37/0.56 (step @p24 :rule refl :args (@t31)) % 0.37/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t32)) % 0.37/0.56 (step @p26 :rule refl :args (@t17)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t17 @t32))) % 0.37/0.56 (assume-push @p76 @t17) % 0.37/0.56 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t23 @t21))) % 0.37/0.56 (step-pop @p77 :rule scope :premises (@p29)) % 0.37/0.56 (step @p30 :rule process_scope :premises (@p77) :args (@t32)) % 0.37/0.56 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 0.37/0.56 (step @p33 :rule implies_elim :premises (@p32)) % 0.37/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p7) :args (@t34 (@list false) (@list @t17))) % 0.37/0.56 (step @p35 :rule true_intro :premises (@p12)) % 0.37/0.56 (step @p36 :rule eq-symm :args (@t19 @t1)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p11 @p37)) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t21))) % 0.37/0.56 (step @p40 :rule symm :premises (@p39)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40) :args (@t30)) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p35)) % 0.37/0.56 (step @p43 :rule true_elim :premises (@p42)) % 0.37/0.56 (step @p44 :rule cnf_or_pos :args (@t34)) % 0.37/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t31 @t33 (not @t34)))) % 0.37/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p34) :args (@t33 @t35 (@list @t30 @t34))) % 0.37/0.56 (step @p47 :rule symm :premises (@p46)) % 0.37/0.56 (step @p48 :rule instantiate :premises (@p38) :args (@t36)) % 0.37/0.56 (step @p49 :rule symm :premises (@p48)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 0.37/0.56 (step @p51 :rule cong :premises (@p50 @p47) :args (@t28)) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p22)) % 0.37/0.56 (step @p53 :rule eq_resolve :premises (@p52 @p20)) % 0.37/0.56 (step @p54 :rule false_elim :premises (@p53)) % 0.37/0.56 (step @p55 :rule instantiate :premises (@p5) :args (@t36)) % 0.37/0.56 (step @p56 :rule cnf_or_pos :args (@t39)) % 0.37/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t38 @t37 (not @t39)))) % 0.37/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p12 @p55) :args (@t37 @t35 (@list @t22 @t39))) % 0.37/0.56 (step @p59 :rule true_intro :premises (@p58)) % 0.37/0.56 (step @p60 :rule refl :args (tptp.a)) % 0.37/0.56 (step @p61 :rule cong :premises (@p40 @p60) :args ((tptp.compose @t29 tptp.a))) % 0.37/0.56 (step @p62 :rule instantiate :premises (@p9) :args ((@list @t23 @t21 tptp.a))) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p61 @p49)) % 0.37/0.56 (step @p64 :rule cong :premises (@p63) :args (@t40)) % 0.37/0.56 (step @p65 :rule trans :premises (@p64 @p59)) % 0.37/0.56 (step @p66 :rule true_elim :premises (@p65)) % 0.37/0.56 (step @p67 :rule cnf_or_pos :args (@t42)) % 0.37/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t41 @t27 @t43))) % 0.37/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p54) :args (@t43 (@list false true) (@list @t40 @t27))) % 0.37/0.56 (assume-push @p78 @t17) % 0.37/0.56 (step @p71 :rule instantiate :premises (@p7) :args ((@list @t23 @t24))) % 0.37/0.56 (step-pop @p79 :rule scope :premises (@p71)) % 0.37/0.56 (step @p72 :rule process_scope :premises (@p79) :args (@t42)) % 0.37/0.56 (step @p74 :rule implies_elim :premises (@p72)) % 0.37/0.56 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p7) :args (false (@list true false) (@list @t42 @t17))) % 0.37/0.56 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------