%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT006-3 : 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 : n022.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 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : CAT006-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n022.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.37 % CPULimit : 300 % 0.17/0.37 % WCLimit : 300 % 0.17/0.37 % DateTime : Wed Jun 3 02:54:24 EDT 2026 % 0.17/0.37 % CPUTime : % 0.29/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Unsatisfiable % 0.37/0.62 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.a $$unsorted) % 0.37/0.63 (declare-const tptp.d $$unsorted) % 0.37/0.63 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.37/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.63 (define @t2 () (tptp.there_exists @t1)) % 0.37/0.63 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.63 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.37/0.63 (define @t5 () (not @t4)) % 0.37/0.63 (define @t6 () (@list @t1 @t3)) % 0.37/0.63 (define @t7 () (= @t1 @t3)) % 0.37/0.63 (define @t8 () (not @t7)) % 0.37/0.63 (define @t9 () (not @t2)) % 0.37/0.63 (define @t10 () (tptp.domain @t1)) % 0.37/0.63 (define @t11 () (tptp.there_exists @t10)) % 0.37/0.63 (define @t12 () (not @t11)) % 0.37/0.63 (define @t13 () (@list @t1)) % 0.37/0.63 (define @t14 () (tptp.codomain @t1)) % 0.37/0.63 (define @t15 () (tptp.there_exists @t14)) % 0.37/0.63 (define @t16 () (tptp.compose @t1 @t3)) % 0.37/0.63 (define @t17 () (tptp.there_exists @t16)) % 0.37/0.63 (define @t18 () (not @t17)) % 0.37/0.63 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.37/0.63 (define @t20 () (forall @t6 (or @t18 @t19))) % 0.37/0.63 (define @t21 () (@var "Z" $$unsorted)) % 0.37/0.63 (define @t22 () (tptp.compose @t1 @t10)) % 0.37/0.63 (define @t23 () (forall @t13 (= @t22 @t1))) % 0.37/0.63 (define @t24 () (tptp.there_exists @t3)) % 0.37/0.63 (define @t25 () (tptp.f1 @t1 @t3)) % 0.37/0.63 (define @t26 () (= @t3 @t25)) % 0.37/0.63 (define @t27 () (= @t1 @t25)) % 0.37/0.63 (define @t28 () (tptp.there_exists (tptp.compose tptp.d tptp.a))) % 0.37/0.63 (define @t29 () (tptp.compose @t1 tptp.d)) % 0.37/0.63 (define @t30 () (tptp.compose tptp.d @t1)) % 0.37/0.63 (define @t31 () (not (tptp.there_exists @t30))) % 0.37/0.63 (define @t32 () (or @t31 (= @t30 @t1))) % 0.37/0.63 (define @t33 () (forall @t13 @t32)) % 0.37/0.63 (define @t34 () (tptp.codomain tptp.a)) % 0.37/0.63 (define @t35 () (tptp.domain tptp.d)) % 0.37/0.63 (define @t36 () (tptp.compose tptp.d @t35)) % 0.37/0.63 (define @t37 () (= @t35 @t36)) % 0.37/0.63 (define @t38 () (= @t36 @t35)) % 0.37/0.63 (define @t39 () (not @t28)) % 0.37/0.63 (define @t40 () (or @t39 (= @t35 @t34))) % 0.37/0.63 (define @t41 () (@list tptp.d tptp.a)) % 0.37/0.63 (define @t42 () (= @t34 @t35)) % 0.37/0.63 (define @t43 () (or @t39 @t42)) % 0.37/0.63 (define @t44 () (@list false false)) % 0.37/0.63 (define @t45 () (@list tptp.d)) % 0.37/0.63 (define @t46 () (tptp.there_exists @t35)) % 0.37/0.63 (define @t47 () (or @t39 @t46)) % 0.37/0.63 (define @t48 () (tptp.there_exists tptp.d)) % 0.37/0.63 (define @t49 () (not @t46)) % 0.37/0.63 (define @t50 () (or @t49 @t48)) % 0.37/0.63 (define @t51 () (tptp.there_exists @t36)) % 0.37/0.63 (define @t52 () (not @t51)) % 0.37/0.63 (define @t53 () (or @t52 @t37)) % 0.37/0.63 (define @t54 () (not @t53)) % 0.37/0.63 (define @t55 () (forall @t13 (or @t31 (= @t1 @t30)))) % 0.37/0.63 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.37/0.63 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.37/0.63 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.37/0.63 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.37/0.63 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.37/0.63 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.37/0.63 (assume @p7 @t20) % 0.37/0.63 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.37/0.63 (assume @p9 (forall (@list @t1 @t3 @t21) (= (tptp.compose @t1 (tptp.compose @t3 @t21)) (tptp.compose @t16 @t21)))) % 0.37/0.63 (assume @p10 @t23) % 0.37/0.63 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.37/0.63 (assume @p12 (forall @t6 (or @t5 @t24))) % 0.37/0.63 (assume @p13 (forall @t6 (or @t9 (not @t24) @t8 @t4))) % 0.37/0.63 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.37/0.63 (assume @p15 (forall @t6 (or (tptp.there_exists @t25) @t7))) % 0.37/0.63 (assume @p16 (forall @t6 (or @t27 @t26 @t7))) % 0.37/0.63 (assume @p17 (forall @t6 (or (not @t27) (not @t26) @t7))) % 0.37/0.63 (assume @p18 @t28) % 0.37/0.63 (assume @p19 (forall @t13 (or (not (tptp.there_exists @t29)) (= @t29 @t1)))) % 0.37/0.63 (assume @p20 @t33) % 0.37/0.63 (assume @p21 (not (= @t34 tptp.d))) % 0.37/0.63 (step @p22 :rule eq-symm :args (@t30 @t1)) % 0.37/0.63 (step @p23 :rule refl :args (@t31)) % 0.37/0.63 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t32)) % 0.37/0.63 (step @p25 :rule cong :premises (@p24) :args (@t33)) % 0.37/0.63 (step @p26 :rule eq_resolve :premises (@p20 @p25)) % 0.37/0.63 (step @p27 :rule bool-eq-false :args (@t37)) % 0.37/0.63 (step @p28 :rule symm :premises (@p27)) % 0.37/0.63 (step @p29 :rule eq-symm :args (@t36 @t35)) % 0.37/0.63 (step @p30 :rule cong :premises (@p29) :args ((not @t38))) % 0.37/0.63 (step @p31 :rule bool-eq-false :args (@t38)) % 0.37/0.63 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.63 (step @p33 :rule trans :premises (@p32 @p28)) % 0.37/0.63 (step @p34 :rule symm :premises (@p21)) % 0.37/0.63 (step @p35 :rule false_intro :premises (@p34)) % 0.37/0.63 (step @p36 :rule eq-symm :args (@t35 @t34)) % 0.37/0.63 (step @p37 :rule refl :args (@t39)) % 0.37/0.63 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t40)) % 0.37/0.63 (step @p39 :rule refl :args (@t20)) % 0.37/0.63 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t20 @t40))) % 0.37/0.63 (assume-push @p82 @t20) % 0.37/0.63 (step @p42 :rule instantiate :premises (@p7) :args (@t41)) % 0.37/0.63 (step-pop @p83 :rule scope :premises (@p42)) % 0.37/0.63 (step @p43 :rule process_scope :premises (@p83) :args (@t40)) % 0.37/0.63 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.37/0.63 (step @p46 :rule implies_elim :premises (@p45)) % 0.37/0.63 (step @p47 :rule chain_m_resolution :premises (@p46 @p7) :args (@t43 (@list false) (@list @t20))) % 0.37/0.63 (step @p48 :rule cnf_or_pos :args (@t43)) % 0.37/0.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t39 @t42 (not @t43)))) % 0.37/0.63 (step @p50 :rule chain_m_resolution :premises (@p49 @p18 @p47) :args (@t42 @t44 (@list @t28 @t43))) % 0.37/0.63 (step @p51 :rule symm :premises (@p50)) % 0.37/0.63 (step @p52 :rule eq-symm :args (@t22 @t1)) % 0.37/0.63 (step @p53 :rule cong :premises (@p52) :args (@t23)) % 0.37/0.63 (step @p54 :rule eq_resolve :premises (@p10 @p53)) % 0.37/0.63 (step @p55 :rule instantiate :premises (@p54) :args (@t45)) % 0.37/0.63 (step @p56 :rule symm :premises (@p55)) % 0.37/0.63 (step @p57 :rule cong :premises (@p56 @p51) :args (@t38)) % 0.37/0.63 (step @p58 :rule trans :premises (@p57 @p35)) % 0.37/0.63 (step @p59 :rule eq_resolve :premises (@p58 @p33)) % 0.37/0.63 (step @p60 :rule false_elim :premises (@p59)) % 0.37/0.63 (step @p61 :rule instantiate :premises (@p4) :args (@t45)) % 0.37/0.63 (step @p62 :rule instantiate :premises (@p6) :args (@t41)) % 0.37/0.63 (step @p63 :rule cnf_or_pos :args (@t47)) % 0.37/0.63 (step @p64 :rule reordering :premises (@p63) :args ((or @t39 @t46 (not @t47)))) % 0.37/0.63 (step @p65 :rule chain_m_resolution :premises (@p64 @p18 @p62) :args (@t46 @t44 (@list @t28 @t47))) % 0.37/0.63 (step @p66 :rule cnf_or_pos :args (@t50)) % 0.37/0.63 (step @p67 :rule reordering :premises (@p66) :args ((or @t49 @t48 (not @t50)))) % 0.37/0.63 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p61) :args (@t48 @t44 (@list @t46 @t50))) % 0.37/0.63 (step @p69 :rule true_intro :premises (@p68)) % 0.37/0.63 (step @p70 :rule cong :premises (@p56) :args (@t51)) % 0.37/0.63 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.63 (step @p72 :rule true_elim :premises (@p71)) % 0.37/0.63 (step @p73 :rule cnf_or_pos :args (@t53)) % 0.37/0.63 (step @p74 :rule reordering :premises (@p73) :args ((or @t52 @t37 @t54))) % 0.37/0.63 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p60) :args (@t54 (@list false true) (@list @t51 @t37))) % 0.37/0.63 (assume-push @p84 @t55) % 0.37/0.63 (step @p77 :rule instantiate :premises (@p26) :args ((@list @t35))) % 0.37/0.63 (step-pop @p85 :rule scope :premises (@p77)) % 0.37/0.63 (step @p78 :rule process_scope :premises (@p85) :args (@t53)) % 0.37/0.63 (step @p80 :rule implies_elim :premises (@p78)) % 0.37/0.63 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p26) :args (false (@list true false) (@list @t53 @t55))) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------