%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT009-4 : 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 : n016.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 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : CAT009-4 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.16 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.37 % Computer : n016.cluster.edu % 0.18/0.37 % Model : x86_64 x86_64 % 0.18/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.37 % Memory : 8042.1875MB % 0.18/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.37 % CPULimit : 300 % 0.18/0.37 % WCLimit : 300 % 0.18/0.37 % DateTime : Wed Jun 3 02:55:12 EDT 2026 % 0.18/0.37 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Unsatisfiable % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.b $$unsorted) % 0.36/0.60 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.a $$unsorted) % 0.36/0.60 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.36/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.60 (define @t2 () (tptp.there_exists @t1)) % 0.36/0.60 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.60 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.36/0.60 (define @t5 () (not @t4)) % 0.36/0.60 (define @t6 () (@list @t1 @t3)) % 0.36/0.60 (define @t7 () (= @t1 @t3)) % 0.36/0.60 (define @t8 () (tptp.domain @t1)) % 0.36/0.60 (define @t9 () (tptp.there_exists @t8)) % 0.36/0.60 (define @t10 () (not @t9)) % 0.36/0.60 (define @t11 () (@list @t1)) % 0.36/0.60 (define @t12 () (tptp.codomain @t1)) % 0.36/0.60 (define @t13 () (tptp.compose @t1 @t3)) % 0.36/0.60 (define @t14 () (tptp.there_exists @t13)) % 0.36/0.60 (define @t15 () (not @t14)) % 0.36/0.60 (define @t16 () (= @t8 (tptp.codomain @t3))) % 0.36/0.60 (define @t17 () (@var "Z" $$unsorted)) % 0.36/0.60 (define @t18 () (tptp.compose @t1 @t8)) % 0.36/0.60 (define @t19 () (forall @t11 (= @t18 @t1))) % 0.36/0.60 (define @t20 () (tptp.compose tptp.a tptp.b)) % 0.36/0.60 (define @t21 () (tptp.there_exists @t20)) % 0.36/0.60 (define @t22 () (tptp.domain tptp.b)) % 0.36/0.60 (define @t23 () (tptp.domain @t20)) % 0.36/0.60 (define @t24 () (tptp.there_exists (tptp.compose @t20 @t23))) % 0.36/0.60 (define @t25 () (= @t23 (tptp.codomain @t23))) % 0.36/0.60 (define @t26 () (not @t24)) % 0.36/0.60 (define @t27 () (or @t26 @t25)) % 0.36/0.60 (define @t28 () (@list false false)) % 0.36/0.60 (define @t29 () (@list tptp.b)) % 0.36/0.60 (define @t30 () (tptp.compose tptp.b @t22)) % 0.36/0.60 (define @t31 () (tptp.there_exists (tptp.compose @t20 @t22))) % 0.36/0.60 (define @t32 () (tptp.codomain @t22)) % 0.36/0.60 (define @t33 () (= @t23 @t32)) % 0.36/0.60 (define @t34 () (not @t31)) % 0.36/0.60 (define @t35 () (or @t34 @t33)) % 0.36/0.60 (define @t36 () (@list tptp.a tptp.b)) % 0.36/0.60 (define @t37 () (tptp.domain tptp.a)) % 0.36/0.60 (define @t38 () (tptp.there_exists @t37)) % 0.36/0.60 (define @t39 () (not @t21)) % 0.36/0.60 (define @t40 () (or @t39 @t38)) % 0.36/0.60 (define @t41 () (tptp.codomain tptp.b)) % 0.36/0.60 (define @t42 () (= @t37 @t41)) % 0.36/0.60 (define @t43 () (or @t39 @t42)) % 0.36/0.60 (define @t44 () (tptp.there_exists @t41)) % 0.36/0.60 (define @t45 () (tptp.there_exists tptp.b)) % 0.36/0.60 (define @t46 () (not @t44)) % 0.36/0.60 (define @t47 () (or @t46 @t45)) % 0.36/0.60 (define @t48 () (tptp.there_exists @t30)) % 0.36/0.60 (define @t49 () (= @t22 @t32)) % 0.36/0.60 (define @t50 () (not @t48)) % 0.36/0.60 (define @t51 () (or @t50 @t49)) % 0.36/0.60 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.36/0.60 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.36/0.60 (assume @p3 (forall @t6 (or (not @t2) (not @t7) @t4))) % 0.36/0.60 (assume @p4 (forall @t11 (or @t10 @t2))) % 0.36/0.60 (assume @p5 (forall @t11 (or (not (tptp.there_exists @t12)) @t2))) % 0.36/0.60 (assume @p6 (forall @t6 (or @t15 @t9))) % 0.36/0.60 (assume @p7 (forall @t6 (or @t15 @t16))) % 0.36/0.60 (assume @p8 (forall @t6 (or @t10 (not @t16) @t14))) % 0.36/0.60 (assume @p9 (forall (@list @t1 @t3 @t17) (= (tptp.compose @t1 (tptp.compose @t3 @t17)) (tptp.compose @t13 @t17)))) % 0.36/0.60 (assume @p10 @t19) % 0.36/0.60 (assume @p11 (forall @t11 (= (tptp.compose @t12 @t1) @t1))) % 0.36/0.60 (assume @p12 @t21) % 0.36/0.60 (assume @p13 (not (= @t23 @t22))) % 0.36/0.60 (step @p14 :rule evaluate :args ((= false true))) % 0.36/0.60 (step @p15 :rule instantiate :premises (@p7) :args ((@list @t20 @t23))) % 0.36/0.60 (step @p16 :rule true_intro :premises (@p12)) % 0.36/0.60 (step @p17 :rule eq-symm :args (@t18 @t1)) % 0.36/0.60 (step @p18 :rule cong :premises (@p17) :args (@t19)) % 0.36/0.60 (step @p19 :rule eq_resolve :premises (@p10 @p18)) % 0.36/0.60 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t20))) % 0.36/0.60 (step @p21 :rule symm :premises (@p20)) % 0.36/0.60 (step @p22 :rule cong :premises (@p21) :args (@t24)) % 0.36/0.60 (step @p23 :rule trans :premises (@p22 @p16)) % 0.36/0.60 (step @p24 :rule true_elim :premises (@p23)) % 0.36/0.60 (step @p25 :rule cnf_or_pos :args (@t27)) % 0.36/0.60 (step @p26 :rule reordering :premises (@p25) :args ((or @t26 @t25 (not @t27)))) % 0.36/0.60 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p15) :args (@t25 @t28 (@list @t24 @t27))) % 0.36/0.60 (step @p28 :rule instantiate :premises (@p7) :args ((@list @t20 @t22))) % 0.36/0.60 (step @p29 :rule instantiate :premises (@p19) :args (@t29)) % 0.36/0.60 (step @p30 :rule symm :premises (@p29)) % 0.36/0.60 (step @p31 :rule refl :args (tptp.a)) % 0.36/0.60 (step @p32 :rule cong :premises (@p31 @p30) :args ((tptp.compose tptp.a @t30))) % 0.36/0.60 (step @p33 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b @t22))) % 0.36/0.60 (step @p34 :rule symm :premises (@p33)) % 0.36/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.60 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.36/0.60 (step @p37 :rule trans :premises (@p36 @p16)) % 0.36/0.60 (step @p38 :rule true_elim :premises (@p37)) % 0.36/0.60 (step @p39 :rule cnf_or_pos :args (@t35)) % 0.36/0.60 (step @p40 :rule reordering :premises (@p39) :args ((or @t34 @t33 (not @t35)))) % 0.36/0.60 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p28) :args (@t33 @t28 (@list @t31 @t35))) % 0.36/0.60 (step @p42 :rule symm :premises (@p41)) % 0.36/0.60 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.b @t22))) % 0.36/0.60 (step @p44 :rule instantiate :premises (@p5) :args (@t29)) % 0.36/0.60 (step @p45 :rule instantiate :premises (@p6) :args (@t36)) % 0.36/0.60 (step @p46 :rule cnf_or_pos :args (@t40)) % 0.36/0.60 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t38 (not @t40)))) % 0.36/0.60 (step @p48 :rule chain_m_resolution :premises (@p47 @p12 @p45) :args (@t38 @t28 (@list @t21 @t40))) % 0.36/0.60 (step @p49 :rule true_intro :premises (@p48)) % 0.36/0.60 (step @p50 :rule instantiate :premises (@p7) :args (@t36)) % 0.36/0.60 (step @p51 :rule cnf_or_pos :args (@t43)) % 0.36/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t39 @t42 (not @t43)))) % 0.36/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p12 @p50) :args (@t42 @t28 (@list @t21 @t43))) % 0.36/0.60 (step @p54 :rule symm :premises (@p53)) % 0.36/0.60 (step @p55 :rule cong :premises (@p54) :args (@t44)) % 0.36/0.60 (step @p56 :rule trans :premises (@p55 @p49)) % 0.36/0.60 (step @p57 :rule true_elim :premises (@p56)) % 0.36/0.60 (step @p58 :rule cnf_or_pos :args (@t47)) % 0.36/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t45 @t46 (not @t47)))) % 0.36/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p44) :args (@t45 @t28 (@list @t44 @t47))) % 0.36/0.60 (step @p61 :rule true_intro :premises (@p60)) % 0.36/0.60 (step @p62 :rule cong :premises (@p30) :args (@t48)) % 0.36/0.60 (step @p63 :rule trans :premises (@p62 @p61)) % 0.36/0.60 (step @p64 :rule true_elim :premises (@p63)) % 0.36/0.60 (step @p65 :rule cnf_or_pos :args (@t51)) % 0.36/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t50 @t49 (not @t51)))) % 0.36/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p43) :args (@t49 @t28 (@list @t48 @t51))) % 0.36/0.60 (step @p68 :rule trans :premises (@p67 @p42 @p27)) % 0.36/0.60 (step @p69 :rule symm :premises (@p68)) % 0.36/0.60 (step @p70 :rule trans :premises (@p27 @p69)) % 0.36/0.60 (step @p71 :rule true_intro :premises (@p70)) % 0.36/0.60 (step @p72 :rule false_intro :premises (@p13)) % 0.36/0.60 (step @p73 :rule symm :premises (@p72)) % 0.36/0.60 (step @p74 :rule trans :premises (@p73 @p71)) % 0.36/0.60 (step @p75 false :rule eq_resolve :premises (@p74 @p14)) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------