%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT011-3 : 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 : n015.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 08:09:24 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 : CAT011-3 : 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 : n015.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 02:55:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----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 $$unsorted 0) % 0.37/0.56 (declare-const tptp.a $$unsorted) % 0.37/0.56 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.compose (-> $$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" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.37/0.56 (define @t5 () (not @t4)) % 0.37/0.56 (define @t6 () (@list @t1 @t3)) % 0.37/0.56 (define @t7 () (= @t1 @t3)) % 0.37/0.56 (define @t8 () (not @t7)) % 0.37/0.56 (define @t9 () (not @t2)) % 0.37/0.56 (define @t10 () (tptp.domain @t1)) % 0.37/0.56 (define @t11 () (tptp.there_exists @t10)) % 0.37/0.56 (define @t12 () (not @t11)) % 0.37/0.56 (define @t13 () (@list @t1)) % 0.37/0.56 (define @t14 () (tptp.codomain @t1)) % 0.37/0.56 (define @t15 () (tptp.there_exists @t14)) % 0.37/0.56 (define @t16 () (tptp.compose @t1 @t3)) % 0.37/0.56 (define @t17 () (tptp.there_exists @t16)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.37/0.56 (define @t20 () (forall @t6 (or @t18 @t19))) % 0.37/0.56 (define @t21 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t22 () (tptp.compose @t1 @t10)) % 0.37/0.56 (define @t23 () (forall @t13 (= @t22 @t1))) % 0.37/0.56 (define @t24 () (tptp.there_exists @t3)) % 0.37/0.56 (define @t25 () (tptp.f1 @t1 @t3)) % 0.37/0.56 (define @t26 () (= @t3 @t25)) % 0.37/0.56 (define @t27 () (= @t1 @t25)) % 0.37/0.56 (define @t28 () (tptp.domain tptp.a)) % 0.37/0.56 (define @t29 () (tptp.there_exists @t28)) % 0.37/0.56 (define @t30 () (tptp.domain @t28)) % 0.37/0.56 (define @t31 () (tptp.compose tptp.a @t28)) % 0.37/0.56 (define @t32 () (tptp.domain @t31)) % 0.37/0.56 (define @t33 () (tptp.codomain @t30)) % 0.37/0.56 (define @t34 () (= @t33 @t32)) % 0.37/0.56 (define @t35 () (= @t32 @t33)) % 0.37/0.56 (define @t36 () (tptp.compose @t28 @t30)) % 0.37/0.56 (define @t37 () (tptp.there_exists @t36)) % 0.37/0.56 (define @t38 () (= @t30 @t33)) % 0.37/0.56 (define @t39 () (not @t37)) % 0.37/0.56 (define @t40 () (or @t39 @t38)) % 0.37/0.56 (define @t41 () (@list false false)) % 0.37/0.56 (define @t42 () (@list tptp.a)) % 0.37/0.56 (define @t43 () (tptp.there_exists tptp.a)) % 0.37/0.56 (define @t44 () (not @t29)) % 0.37/0.56 (define @t45 () (or @t44 @t43)) % 0.37/0.56 (define @t46 () (tptp.there_exists (tptp.compose @t31 @t30))) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (or @t47 @t34)) % 0.37/0.56 (define @t49 () (not @t48)) % 0.37/0.56 (define @t50 () (or @t47 @t35)) % 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 @t9 @t8 @t4))) % 0.37/0.56 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.37/0.56 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.37/0.56 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.37/0.56 (assume @p7 @t20) % 0.37/0.56 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.37/0.56 (assume @p9 (forall (@list @t1 @t3 @t21) (= (tptp.compose @t1 (tptp.compose @t3 @t21)) (tptp.compose @t16 @t21)))) % 0.37/0.56 (assume @p10 @t23) % 0.37/0.56 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.37/0.56 (assume @p12 (forall @t6 (or @t5 @t24))) % 0.37/0.56 (assume @p13 (forall @t6 (or @t9 (not @t24) @t8 @t4))) % 0.37/0.56 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.37/0.56 (assume @p15 (forall @t6 (or (tptp.there_exists @t25) @t7))) % 0.37/0.56 (assume @p16 (forall @t6 (or @t27 @t26 @t7))) % 0.37/0.56 (assume @p17 (forall @t6 (or (not @t27) (not @t26) @t7))) % 0.37/0.56 (assume @p18 @t29) % 0.37/0.56 (assume @p19 (not (= @t30 @t28))) % 0.37/0.56 (step @p20 :rule bool-eq-false :args (@t34)) % 0.37/0.56 (step @p21 :rule symm :premises (@p20)) % 0.37/0.56 (step @p22 :rule eq-symm :args (@t32 @t33)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args ((not @t35))) % 0.37/0.56 (step @p24 :rule bool-eq-false :args (@t35)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.56 (step @p26 :rule trans :premises (@p25 @p21)) % 0.37/0.56 (step @p27 :rule symm :premises (@p19)) % 0.37/0.56 (step @p28 :rule false_intro :premises (@p27)) % 0.37/0.56 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t28 @t30))) % 0.37/0.56 (step @p30 :rule true_intro :premises (@p18)) % 0.37/0.56 (step @p31 :rule eq-symm :args (@t22 @t1)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p10 @p32)) % 0.37/0.56 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t28))) % 0.37/0.56 (step @p35 :rule symm :premises (@p34)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t37)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p30)) % 0.37/0.56 (step @p38 :rule true_elim :premises (@p37)) % 0.37/0.56 (step @p39 :rule cnf_or_pos :args (@t40)) % 0.37/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t39 @t38 (not @t40)))) % 0.37/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p29) :args (@t38 @t41 (@list @t37 @t40))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule instantiate :premises (@p33) :args (@t42)) % 0.37/0.56 (step @p44 :rule symm :premises (@p43)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args (@t32)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45 @p42) :args (@t35)) % 0.37/0.56 (step @p47 :rule trans :premises (@p46 @p28)) % 0.37/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p26)) % 0.37/0.56 (step @p49 :rule false_elim :premises (@p48)) % 0.37/0.56 (step @p50 :rule instantiate :premises (@p4) :args (@t42)) % 0.37/0.56 (step @p51 :rule cnf_or_pos :args (@t45)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t44 @t43 (not @t45)))) % 0.37/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p18 @p50) :args (@t43 @t41 (@list @t29 @t45))) % 0.37/0.56 (step @p54 :rule true_intro :premises (@p53)) % 0.37/0.56 (step @p55 :rule refl :args (tptp.a)) % 0.37/0.56 (step @p56 :rule cong :premises (@p55 @p35) :args ((tptp.compose tptp.a @t36))) % 0.37/0.56 (step @p57 :rule instantiate :premises (@p9) :args ((@list tptp.a @t28 @t30))) % 0.37/0.56 (step @p58 :rule symm :premises (@p57)) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p56 @p44)) % 0.37/0.56 (step @p60 :rule cong :premises (@p59) :args (@t46)) % 0.37/0.56 (step @p61 :rule trans :premises (@p60 @p54)) % 0.37/0.56 (step @p62 :rule true_elim :premises (@p61)) % 0.37/0.56 (step @p63 :rule cnf_or_pos :args (@t48)) % 0.37/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t47 @t34 @t49))) % 0.37/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p49) :args (@t49 (@list false true) (@list @t46 @t34))) % 0.37/0.56 (step @p66 :rule refl :args (@t47)) % 0.37/0.56 (step @p67 :rule nary_cong :premises (@p66 @p22) :args (@t50)) % 0.37/0.56 (step @p68 :rule refl :args (@t20)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t20 @t50))) % 0.37/0.56 (assume-push @p77 @t20) % 0.37/0.56 (step @p71 :rule instantiate :premises (@p7) :args ((@list @t31 @t30))) % 0.37/0.56 (step-pop @p78 :rule scope :premises (@p71)) % 0.37/0.56 (step @p72 :rule process_scope :premises (@p78) :args (@t50)) % 0.37/0.56 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.37/0.56 (step @p75 :rule implies_elim :premises (@p74)) % 0.37/0.56 (step @p76 false :rule chain_m_resolution :premises (@p75 @p65 @p7) :args (false (@list true false) (@list @t48 @t20))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------