%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT009-3 : 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 : n027.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 0.25s 0.54s % Output : Proof 0.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT009-3 : TPTP v9.2.1. Released v1.0.0. % 0.10/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.34 % Computer : n027.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 3 02:54:54 EDT 2026 % 0.12/0.34 % CPUTime : % 0.25/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.25/0.54 % SZS status Unsatisfiable % 0.25/0.54 % SZS output start Proof % 0.25/0.55 ( % 0.25/0.55 (declare-sort $$unsorted 0) % 0.25/0.55 (declare-const tptp.b $$unsorted) % 0.25/0.55 (declare-const tptp.a $$unsorted) % 0.25/0.55 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.55 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.25/0.55 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.25/0.55 (declare-const tptp.equivalent (-> $$unsorted $$unsorted Bool)) % 0.25/0.55 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.25/0.55 (declare-const tptp.there_exists (-> $$unsorted Bool)) % 0.25/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.25/0.55 (define @t2 () (tptp.there_exists @t1)) % 0.25/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.25/0.55 (define @t4 () (tptp.equivalent @t1 @t3)) % 0.25/0.55 (define @t5 () (not @t4)) % 0.25/0.55 (define @t6 () (@list @t1 @t3)) % 0.25/0.55 (define @t7 () (= @t1 @t3)) % 0.25/0.55 (define @t8 () (not @t7)) % 0.25/0.55 (define @t9 () (not @t2)) % 0.25/0.55 (define @t10 () (tptp.domain @t1)) % 0.25/0.55 (define @t11 () (tptp.there_exists @t10)) % 0.25/0.55 (define @t12 () (not @t11)) % 0.25/0.55 (define @t13 () (@list @t1)) % 0.25/0.55 (define @t14 () (tptp.codomain @t1)) % 0.25/0.55 (define @t15 () (tptp.there_exists @t14)) % 0.25/0.55 (define @t16 () (tptp.compose @t1 @t3)) % 0.25/0.55 (define @t17 () (tptp.there_exists @t16)) % 0.25/0.55 (define @t18 () (not @t17)) % 0.25/0.55 (define @t19 () (= @t10 (tptp.codomain @t3))) % 0.25/0.55 (define @t20 () (@var "Z" $$unsorted)) % 0.25/0.55 (define @t21 () (tptp.compose @t1 @t10)) % 0.25/0.55 (define @t22 () (forall @t13 (= @t21 @t1))) % 0.25/0.55 (define @t23 () (tptp.there_exists @t3)) % 0.25/0.55 (define @t24 () (tptp.f1 @t1 @t3)) % 0.25/0.55 (define @t25 () (= @t3 @t24)) % 0.25/0.55 (define @t26 () (= @t1 @t24)) % 0.25/0.55 (define @t27 () (tptp.compose tptp.a tptp.b)) % 0.25/0.55 (define @t28 () (tptp.there_exists @t27)) % 0.25/0.55 (define @t29 () (tptp.domain tptp.b)) % 0.25/0.55 (define @t30 () (tptp.domain @t27)) % 0.25/0.55 (define @t31 () (tptp.there_exists (tptp.compose @t27 @t30))) % 0.25/0.55 (define @t32 () (= @t30 (tptp.codomain @t30))) % 0.25/0.55 (define @t33 () (not @t31)) % 0.25/0.55 (define @t34 () (or @t33 @t32)) % 0.25/0.55 (define @t35 () (@list false false)) % 0.25/0.55 (define @t36 () (@list tptp.b)) % 0.25/0.55 (define @t37 () (tptp.compose tptp.b @t29)) % 0.25/0.55 (define @t38 () (tptp.there_exists (tptp.compose @t27 @t29))) % 0.25/0.55 (define @t39 () (tptp.codomain @t29)) % 0.25/0.55 (define @t40 () (= @t30 @t39)) % 0.25/0.55 (define @t41 () (not @t38)) % 0.25/0.55 (define @t42 () (or @t41 @t40)) % 0.25/0.55 (define @t43 () (@list tptp.a tptp.b)) % 0.25/0.55 (define @t44 () (tptp.domain tptp.a)) % 0.25/0.55 (define @t45 () (tptp.there_exists @t44)) % 0.25/0.55 (define @t46 () (not @t28)) % 0.25/0.55 (define @t47 () (or @t46 @t45)) % 0.25/0.55 (define @t48 () (tptp.codomain tptp.b)) % 0.25/0.55 (define @t49 () (= @t44 @t48)) % 0.25/0.55 (define @t50 () (or @t46 @t49)) % 0.25/0.55 (define @t51 () (tptp.there_exists @t48)) % 0.25/0.55 (define @t52 () (tptp.there_exists tptp.b)) % 0.25/0.55 (define @t53 () (not @t51)) % 0.25/0.55 (define @t54 () (or @t53 @t52)) % 0.25/0.55 (define @t55 () (tptp.there_exists @t37)) % 0.25/0.55 (define @t56 () (= @t29 @t39)) % 0.25/0.55 (define @t57 () (not @t55)) % 0.25/0.55 (define @t58 () (or @t57 @t56)) % 0.25/0.55 (assume @p1 (forall @t6 (or @t5 @t2))) % 0.25/0.55 (assume @p2 (forall @t6 (or @t5 @t7))) % 0.25/0.55 (assume @p3 (forall @t6 (or @t9 @t8 @t4))) % 0.25/0.55 (assume @p4 (forall @t13 (or @t12 @t2))) % 0.25/0.55 (assume @p5 (forall @t13 (or (not @t15) @t2))) % 0.25/0.55 (assume @p6 (forall @t6 (or @t18 @t11))) % 0.25/0.55 (assume @p7 (forall @t6 (or @t18 @t19))) % 0.25/0.55 (assume @p8 (forall @t6 (or @t12 (not @t19) @t17))) % 0.25/0.55 (assume @p9 (forall (@list @t1 @t3 @t20) (= (tptp.compose @t1 (tptp.compose @t3 @t20)) (tptp.compose @t16 @t20)))) % 0.25/0.55 (assume @p10 @t22) % 0.25/0.55 (assume @p11 (forall @t13 (= (tptp.compose @t14 @t1) @t1))) % 0.25/0.55 (assume @p12 (forall @t6 (or @t5 @t23))) % 0.25/0.55 (assume @p13 (forall @t6 (or @t9 (not @t23) @t8 @t4))) % 0.25/0.55 (assume @p14 (forall @t6 (or @t18 @t15))) % 0.25/0.55 (assume @p15 (forall @t6 (or (tptp.there_exists @t24) @t7))) % 0.25/0.55 (assume @p16 (forall @t6 (or @t26 @t25 @t7))) % 0.25/0.55 (assume @p17 (forall @t6 (or (not @t26) (not @t25) @t7))) % 0.25/0.55 (assume @p18 @t28) % 0.25/0.55 (assume @p19 (not (= @t30 @t29))) % 0.25/0.55 (step @p20 :rule evaluate :args ((= false true))) % 0.25/0.55 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t27 @t30))) % 0.25/0.55 (step @p22 :rule true_intro :premises (@p18)) % 0.25/0.55 (step @p23 :rule eq-symm :args (@t21 @t1)) % 0.25/0.55 (step @p24 :rule cong :premises (@p23) :args (@t22)) % 0.25/0.55 (step @p25 :rule eq_resolve :premises (@p10 @p24)) % 0.25/0.55 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t27))) % 0.25/0.55 (step @p27 :rule symm :premises (@p26)) % 0.25/0.55 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.25/0.55 (step @p29 :rule trans :premises (@p28 @p22)) % 0.25/0.55 (step @p30 :rule true_elim :premises (@p29)) % 0.25/0.55 (step @p31 :rule cnf_or_pos :args (@t34)) % 0.25/0.55 (step @p32 :rule reordering :premises (@p31) :args ((or @t33 @t32 (not @t34)))) % 0.25/0.55 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p21) :args (@t32 @t35 (@list @t31 @t34))) % 0.25/0.55 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t27 @t29))) % 0.25/0.55 (step @p35 :rule instantiate :premises (@p25) :args (@t36)) % 0.25/0.55 (step @p36 :rule symm :premises (@p35)) % 0.25/0.55 (step @p37 :rule refl :args (tptp.a)) % 0.25/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.compose tptp.a @t37))) % 0.25/0.55 (step @p39 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b @t29))) % 0.25/0.55 (step @p40 :rule symm :premises (@p39)) % 0.25/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.25/0.55 (step @p42 :rule cong :premises (@p41) :args (@t38)) % 0.25/0.55 (step @p43 :rule trans :premises (@p42 @p22)) % 0.25/0.55 (step @p44 :rule true_elim :premises (@p43)) % 0.25/0.55 (step @p45 :rule cnf_or_pos :args (@t42)) % 0.25/0.55 (step @p46 :rule reordering :premises (@p45) :args ((or @t41 @t40 (not @t42)))) % 0.25/0.55 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p34) :args (@t40 @t35 (@list @t38 @t42))) % 0.25/0.55 (step @p48 :rule symm :premises (@p47)) % 0.25/0.55 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.b @t29))) % 0.25/0.55 (step @p50 :rule instantiate :premises (@p5) :args (@t36)) % 0.25/0.55 (step @p51 :rule instantiate :premises (@p6) :args (@t43)) % 0.25/0.55 (step @p52 :rule cnf_or_pos :args (@t47)) % 0.25/0.55 (step @p53 :rule reordering :premises (@p52) :args ((or @t46 @t45 (not @t47)))) % 0.25/0.55 (step @p54 :rule chain_m_resolution :premises (@p53 @p18 @p51) :args (@t45 @t35 (@list @t28 @t47))) % 0.25/0.55 (step @p55 :rule true_intro :premises (@p54)) % 0.25/0.55 (step @p56 :rule instantiate :premises (@p7) :args (@t43)) % 0.25/0.55 (step @p57 :rule cnf_or_pos :args (@t50)) % 0.25/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t46 @t49 (not @t50)))) % 0.25/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p18 @p56) :args (@t49 @t35 (@list @t28 @t50))) % 0.25/0.55 (step @p60 :rule symm :premises (@p59)) % 0.25/0.55 (step @p61 :rule cong :premises (@p60) :args (@t51)) % 0.25/0.55 (step @p62 :rule trans :premises (@p61 @p55)) % 0.25/0.55 (step @p63 :rule true_elim :premises (@p62)) % 0.25/0.55 (step @p64 :rule cnf_or_pos :args (@t54)) % 0.25/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t52 @t53 (not @t54)))) % 0.25/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p50) :args (@t52 @t35 (@list @t51 @t54))) % 0.25/0.55 (step @p67 :rule true_intro :premises (@p66)) % 0.25/0.55 (step @p68 :rule cong :premises (@p36) :args (@t55)) % 0.25/0.55 (step @p69 :rule trans :premises (@p68 @p67)) % 0.25/0.55 (step @p70 :rule true_elim :premises (@p69)) % 0.25/0.55 (step @p71 :rule cnf_or_pos :args (@t58)) % 0.25/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t57 @t56 (not @t58)))) % 0.25/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p49) :args (@t56 @t35 (@list @t55 @t58))) % 0.25/0.55 (step @p74 :rule trans :premises (@p73 @p48 @p33)) % 0.25/0.55 (step @p75 :rule symm :premises (@p74)) % 0.25/0.55 (step @p76 :rule trans :premises (@p33 @p75)) % 0.25/0.55 (step @p77 :rule true_intro :premises (@p76)) % 0.25/0.55 (step @p78 :rule false_intro :premises (@p19)) % 0.25/0.55 (step @p79 :rule symm :premises (@p78)) % 0.25/0.55 (step @p80 :rule trans :premises (@p79 @p77)) % 0.25/0.55 (step @p81 false :rule eq_resolve :premises (@p80 @p20)) % 0.25/0.55 ) % 0.25/0.55 % SZS output end Proof % 0.25/0.55 % cvc5 exiting %------------------------------------------------------------------------------