%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT001-4 : 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 : n005.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 08:09:21 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.71s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.17 % Problem : CAT001-4 : TPTP v9.2.1. Released v1.0.0. % 0.08/0.18 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.41 % Computer : n005.cluster.edu % 0.19/0.41 % Model : x86_64 x86_64 % 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.41 % Memory : 8042.1875MB % 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.41 % CPULimit : 300 % 0.19/0.41 % WCLimit : 300 % 0.19/0.41 % DateTime : Wed Jun 3 02:52:49 EDT 2026 % 0.19/0.41 % CPUTime : % 0.34/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.71 % SZS status Unsatisfiable % 0.38/0.71 % SZS output start Proof % 0.38/0.71 ( % 0.38/0.71 (declare-sort $$unsorted 0) % 0.38/0.71 (declare-const tptp.g $$unsorted) % 0.38/0.71 (declare-const tptp.b $$unsorted) % 0.38/0.71 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.38/0.71 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.38/0.71 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.38/0.71 (declare-const tptp.h $$unsorted) % 0.38/0.71 (declare-const tptp.a $$unsorted) % 0.38/0.71 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.71 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.38/0.71 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.71 (define @t2 () (tptp.there_exists @t1)) % 0.38/0.71 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.71 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.38/0.71 (define @t5 () (not @t4)) % 0.38/0.71 (define @t6 () (@list @t1 @t3)) % 0.38/0.71 (define @t7 () (= @t1 @t3)) % 0.38/0.71 (define @t8 () (tptp.domain @t1)) % 0.38/0.71 (define @t9 () (tptp.there_exists @t8)) % 0.38/0.71 (define @t10 () (not @t9)) % 0.38/0.71 (define @t11 () (@list @t1)) % 0.38/0.71 (define @t12 () (tptp.codomain @t1)) % 0.38/0.71 (define @t13 () (tptp.compose @t1 @t3)) % 0.38/0.71 (define @t14 () (tptp.there_exists @t13)) % 0.38/0.71 (define @t15 () (not @t14)) % 0.38/0.71 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.38/0.71 (define @t17 () (@var "Z" $$unsorted)) % 0.38/0.71 (define @t18 () (@list @t1 @t3 @t17)) % 0.38/0.71 (define @t19 () (forall @t18 (= (tptp.compose @t1 (tptp.compose @t3 @t17)) (tptp.compose @t13 @t17)))) % 0.38/0.71 (define @t20 () (tptp.compose tptp.a tptp.b)) % 0.38/0.71 (define @t21 () (= @t1 @t17)) % 0.38/0.71 (define @t22 () (tptp.compose @t20 @t17)) % 0.38/0.71 (define @t23 () (not (= @t22 @t3))) % 0.38/0.71 (define @t24 () (tptp.compose @t20 @t1)) % 0.38/0.71 (define @t25 () (not (= @t24 @t3))) % 0.38/0.71 (define @t26 () (or @t25 @t23 @t21)) % 0.38/0.71 (define @t27 () (forall @t18 @t26)) % 0.38/0.71 (define @t28 () (tptp.compose tptp.b tptp.h)) % 0.38/0.71 (define @t29 () (tptp.compose tptp.b tptp.g)) % 0.38/0.71 (define @t30 () (= @t28 @t29)) % 0.38/0.71 (define @t31 () (= tptp.h tptp.g)) % 0.38/0.71 (define @t32 () (tptp.compose tptp.a @t29)) % 0.38/0.71 (define @t33 () (tptp.compose @t20 tptp.g)) % 0.38/0.71 (define @t34 () (= @t32 @t33)) % 0.38/0.71 (define @t35 () (@list tptp.a tptp.b tptp.g)) % 0.38/0.71 (define @t36 () (= @t33 @t32)) % 0.38/0.71 (define @t37 () (not (= @t24 @t22))) % 0.38/0.71 (define @t38 () (not (= @t24 @t24))) % 0.38/0.71 (define @t39 () (or @t38 @t37 @t21)) % 0.38/0.71 (define @t40 () (@list @t1 @t17)) % 0.38/0.71 (define @t41 () (not (= @t3 @t22))) % 0.38/0.71 (define @t42 () (not (= @t3 @t24))) % 0.38/0.71 (define @t43 () (or @t42 @t42 @t41 @t21)) % 0.38/0.71 (define @t44 () (@list @t3)) % 0.38/0.71 (define @t45 () (or @t42 @t41 @t21)) % 0.38/0.71 (define @t46 () (forall @t44 @t45)) % 0.38/0.71 (define @t47 () (forall @t40 @t46)) % 0.38/0.71 (define @t48 () (forall (@list @t1 @t17 @t3) @t45)) % 0.38/0.71 (define @t49 () (tptp.compose @t20 tptp.h)) % 0.38/0.71 (define @t50 () (= @t49 @t33)) % 0.38/0.71 (define @t51 () (not @t50)) % 0.38/0.71 (define @t52 () (or @t51 @t31)) % 0.38/0.71 (define @t53 () (not @t36)) % 0.38/0.71 (define @t54 () (tptp.compose tptp.a @t28)) % 0.38/0.71 (define @t55 () (= @t54 @t49)) % 0.38/0.71 (define @t56 () (not @t55)) % 0.38/0.71 (define @t57 () (not @t30)) % 0.38/0.71 (define @t58 () (and @t50 @t51)) % 0.38/0.71 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.38/0.71 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.38/0.71 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.38/0.71 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.38/0.71 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.38/0.71 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.38/0.71 (assume @p7 (forall @t6 (or @t15 @t16))) % 0.38/0.71 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.38/0.71 (assume @p9 @t19) % 0.38/0.71 (assume @p10 (forall @t11 (= (tptp.compose @t1 @t8) @t1))) % 0.38/0.71 (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1))) % 0.38/0.71 (assume @p12 (tptp.there_exists @t20)) % 0.38/0.71 (assume @p13 @t27) % 0.38/0.71 (assume @p14 (tptp.there_exists @t28)) % 0.38/0.71 (assume @p15 @t30) % 0.38/0.71 (assume @p16 (not @t31)) % 0.38/0.71 (step @p17 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.h))) % 0.38/0.71 (step @p18 :rule eq-symm :args (@t32 @t33)) % 0.38/0.71 (step @p19 :rule refl :args (@t19)) % 0.38/0.71 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t19 @t34))) % 0.38/0.71 (assume-push @p97 @t19) % 0.38/0.71 (step @p22 :rule instantiate :premises (@p9) :args (@t35)) % 0.38/0.71 (step-pop @p98 :rule scope :premises (@p22)) % 0.38/0.71 (step @p23 :rule process_scope :premises (@p98) :args (@t34)) % 0.38/0.71 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.38/0.71 (step @p26 :rule implies_elim :premises (@p25)) % 0.38/0.71 (step @p27 :rule chain_m_resolution :premises (@p26 @p9) :args (@t36 (@list false) (@list @t19))) % 0.38/0.71 (step @p28 :rule aci_norm :args ((= (or false @t37 @t21) (or @t37 @t21)))) % 0.38/0.71 (step @p29 :rule refl :args (@t21)) % 0.38/0.71 (step @p30 :rule refl :args (@t37)) % 0.38/0.71 (step @p31 :rule evaluate :args ((not true))) % 0.38/0.71 (step @p32 :rule eq-refl :args (@t24)) % 0.38/0.71 (step @p33 :rule cong :premises (@p32) :args (@t38)) % 0.38/0.71 (step @p34 :rule trans :premises (@p33 @p31)) % 0.38/0.71 (step @p35 :rule nary_cong :premises (@p34 @p30 @p29) :args (@t39)) % 0.38/0.71 (step @p36 :rule trans :premises (@p35 @p28)) % 0.38/0.71 (step @p37 :rule cong :premises (@p36) :args ((forall @t40 @t39))) % 0.38/0.71 (step @p38 :rule quant-var-elim-eq :args ((= (forall @t44 @t43) @t39))) % 0.38/0.71 (step @p39 :rule aci_norm :args ((= @t45 @t43))) % 0.38/0.71 (step @p40 :rule cong :premises (@p39) :args (@t46)) % 0.38/0.71 (step @p41 :rule trans :premises (@p40 @p38)) % 0.38/0.71 (step @p42 :rule cong :premises (@p41) :args (@t47)) % 0.38/0.71 (step @p43 :rule quant-merge-prenex :args ((= @t47 @t48))) % 0.38/0.71 (step @p44 :rule symm :premises (@p43)) % 0.38/0.71 (step @p45 :rule quant_var_reordering :args ((= (forall @t18 @t45) @t48))) % 0.38/0.71 (step @p46 :rule trans :premises (@p45 @p44 @p42)) % 0.38/0.71 (step @p47 :rule trans :premises (@p46 @p37)) % 0.38/0.71 (step @p48 :rule eq-symm :args (@t22 @t3)) % 0.38/0.71 (step @p49 :rule cong :premises (@p48) :args (@t23)) % 0.38/0.71 (step @p50 :rule eq-symm :args (@t24 @t3)) % 0.38/0.71 (step @p51 :rule cong :premises (@p50) :args (@t25)) % 0.38/0.71 (step @p52 :rule nary_cong :premises (@p51 @p49 @p29) :args (@t26)) % 0.38/0.71 (step @p53 :rule cong :premises (@p52) :args (@t27)) % 0.38/0.71 (step @p54 :rule trans :premises (@p53 @p47)) % 0.38/0.71 (step @p55 :rule eq_resolve :premises (@p13 @p54)) % 0.38/0.71 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.h tptp.g))) % 0.38/0.71 (step @p57 :rule cnf_or_pos :args (@t52)) % 0.38/0.71 (step @p58 :rule reordering :premises (@p57) :args ((or @t31 @t51 (not @t52)))) % 0.38/0.71 (step @p59 :rule chain_m_resolution :premises (@p58 @p16 @p56) :args (@t51 (@list true false) (@list @t31 @t52))) % 0.38/0.71 (step @p60 :rule bool-double-not-elim :args (@t50)) % 0.38/0.71 (step @p61 :rule refl :args (@t53)) % 0.38/0.71 (step @p62 :rule refl :args (@t56)) % 0.38/0.71 (step @p63 :rule refl :args (@t57)) % 0.38/0.71 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60) :args ((or @t57 @t56 @t53 (not @t51)))) % 0.38/0.71 (assume-push @p99 @t50) % 0.38/0.71 (assume-push @p100 @t51) % 0.38/0.71 (step @p67 :rule evaluate :args ((= true false))) % 0.38/0.71 (step @p68 :rule false_intro :premises (@p59)) % 0.38/0.71 (step @p69 :rule instantiate :premises (@p9) :args (@t35)) % 0.38/0.71 (step @p70 :rule refl :args (tptp.a)) % 0.38/0.71 (step @p71 :rule cong :premises (@p70 @p15) :args (@t54)) % 0.38/0.71 (step @p72 :rule symm :premises (@p17)) % 0.38/0.71 (step @p73 :rule trans :premises (@p72 @p71 @p69)) % 0.38/0.71 (step @p74 :rule true_intro :premises (@p73)) % 0.38/0.71 (step @p75 :rule symm :premises (@p74)) % 0.38/0.71 (step @p76 :rule trans :premises (@p75 @p68)) % 0.38/0.71 (step @p77 false :rule eq_resolve :premises (@p76 @p67)) % 0.38/0.71 (step-pop @p101 :rule scope :premises (@p77)) % 0.38/0.71 (step-pop @p102 :rule scope :premises (@p101)) % 0.38/0.71 (step @p78 :rule process_scope :premises (@p102) :args (false)) % 0.38/0.71 (assume-push @p103 @t30) % 0.38/0.71 (assume-push @p104 @t55) % 0.38/0.71 (assume-push @p105 @t36) % 0.38/0.71 (assume-push @p106 @t51) % 0.38/0.71 (step @p22 :rule instantiate :premises (@p9) :args (@t35)) % 0.38/0.71 (step @p70 :rule refl :args (tptp.a)) % 0.38/0.71 (step @p71 :rule cong :premises (@p70 @p15) :args (@t54)) % 0.38/0.71 (step @p72 :rule symm :premises (@p17)) % 0.38/0.71 (step @p85 :rule trans :premises (@p72 @p71 @p22)) % 0.38/0.71 (step @p86 :rule and_intro :premises (@p85 @p59)) % 0.38/0.71 (step-pop @p107 :rule scope :premises (@p86)) % 0.38/0.71 (step-pop @p108 :rule scope :premises (@p107)) % 0.38/0.71 (step-pop @p109 :rule scope :premises (@p108)) % 0.38/0.71 (step-pop @p110 :rule scope :premises (@p109)) % 0.38/0.71 (step @p87 :rule process_scope :premises (@p110) :args (@t58)) % 0.38/0.71 (step @p92 :rule implies_elim :premises (@p87)) % 0.38/0.71 (step @p93 :rule resolution :premises (@p92 @p78) :args (true @t58)) % 0.38/0.71 (step @p94 :rule not_and :premises (@p93)) % 0.38/0.71 (step @p95 :rule eq_resolve :premises (@p94 @p64)) % 0.38/0.71 (step @p96 false :rule chain_m_resolution :premises (@p95 @p59 @p27 @p17 @p15) :args (false (@list true false false false) (@list @t50 @t36 @t55 @t30))) % 0.38/0.71 ) % 0.38/0.71 % SZS output end Proof % 0.38/0.72 % cvc5 exiting %------------------------------------------------------------------------------