%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT002-1 : 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 0.63s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.14 % Problem : CAT002-1 : TPTP v9.2.1. Released v1.0.0. % 0.10/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.37 % Computer : n005.cluster.edu % 0.19/0.37 % Model : x86_64 x86_64 % 0.19/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.37 % Memory : 8042.1875MB % 0.19/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.37 % CPULimit : 300 % 0.19/0.37 % WCLimit : 300 % 0.19/0.37 % DateTime : Wed Jun 3 02:52:18 EDT 2026 % 0.19/0.37 % CPUTime : % 0.27/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.63 % SZS status Unsatisfiable % 0.38/0.63 % SZS output start Proof % 0.38/0.63 ( % 0.38/0.63 (declare-sort $$unsorted 0) % 0.38/0.63 (declare-const tptp.g $$unsorted) % 0.38/0.63 (declare-const tptp.d $$unsorted) % 0.38/0.63 (declare-const tptp.b $$unsorted) % 0.38/0.63 (declare-const tptp.a $$unsorted) % 0.38/0.63 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.h $$unsorted) % 0.38/0.63 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.c $$unsorted) % 0.38/0.63 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.63 (define @t3 () (tptp.defined @t2 @t1)) % 0.38/0.63 (define @t4 () (not @t3)) % 0.38/0.63 (define @t5 () (@list @t2 @t1)) % 0.38/0.63 (define @t6 () (@var "Z" $$unsorted)) % 0.38/0.63 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.38/0.63 (define @t8 () (@list @t2 @t1 @t6)) % 0.38/0.63 (define @t9 () (tptp.defined @t1 @t6)) % 0.38/0.63 (define @t10 () (@var "Xy" $$unsorted)) % 0.38/0.63 (define @t11 () (tptp.defined @t10 @t6)) % 0.38/0.63 (define @t12 () (not @t11)) % 0.38/0.63 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.38/0.63 (define @t14 () (@var "Yz" $$unsorted)) % 0.38/0.63 (define @t15 () (tptp.defined @t2 @t14)) % 0.38/0.63 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.38/0.63 (define @t17 () (@var "Xyz" $$unsorted)) % 0.38/0.63 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.38/0.63 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.38/0.63 (define @t20 () (not @t15)) % 0.38/0.63 (define @t21 () (not (tptp.identity_map @t1))) % 0.38/0.63 (define @t22 () (tptp.domain @t2)) % 0.38/0.63 (define @t23 () (@list @t2)) % 0.38/0.63 (define @t24 () (tptp.codomain @t2)) % 0.38/0.63 (define @t25 () (@var "W" $$unsorted)) % 0.38/0.63 (define @t26 () (= @t2 @t1)) % 0.38/0.63 (define @t27 () (@list @t2 @t25 @t1)) % 0.38/0.63 (define @t28 () (tptp.product tptp.a tptp.b tptp.c)) % 0.38/0.63 (define @t29 () (tptp.product tptp.c tptp.h tptp.d)) % 0.38/0.63 (define @t30 () (tptp.product tptp.c tptp.g tptp.d)) % 0.38/0.63 (define @t31 () (= tptp.h tptp.g)) % 0.38/0.63 (define @t32 () (tptp.compose tptp.b tptp.h)) % 0.38/0.63 (define @t33 () (tptp.defined tptp.c tptp.h)) % 0.38/0.63 (define @t34 () (not @t29)) % 0.38/0.63 (define @t35 () (or @t34 @t33)) % 0.38/0.63 (define @t36 () (@list false false)) % 0.38/0.63 (define @t37 () (tptp.defined tptp.b tptp.h)) % 0.38/0.63 (define @t38 () (not @t33)) % 0.38/0.63 (define @t39 () (not @t28)) % 0.38/0.63 (define @t40 () (or @t39 @t38 @t37)) % 0.38/0.63 (define @t41 () (@list false false false)) % 0.38/0.63 (define @t42 () (tptp.product tptp.b tptp.h @t32)) % 0.38/0.63 (define @t43 () (not @t37)) % 0.38/0.63 (define @t44 () (or @t43 @t42)) % 0.38/0.63 (define @t45 () (not (tptp.product tptp.b tptp.g @t32))) % 0.38/0.63 (define @t46 () (not @t42)) % 0.38/0.63 (define @t47 () (or @t46 @t45 @t31)) % 0.38/0.63 (define @t48 () (tptp.compose tptp.b tptp.g)) % 0.38/0.63 (define @t49 () (tptp.defined tptp.c tptp.g)) % 0.38/0.63 (define @t50 () (not @t30)) % 0.38/0.63 (define @t51 () (or @t50 @t49)) % 0.38/0.63 (define @t52 () (tptp.defined tptp.b tptp.g)) % 0.38/0.63 (define @t53 () (not @t49)) % 0.38/0.63 (define @t54 () (or @t39 @t53 @t52)) % 0.38/0.63 (define @t55 () (tptp.product tptp.b tptp.g @t48)) % 0.38/0.63 (define @t56 () (not @t52)) % 0.38/0.63 (define @t57 () (or @t56 @t55)) % 0.38/0.63 (define @t58 () (tptp.product tptp.a @t48 tptp.d)) % 0.38/0.63 (define @t59 () (not @t55)) % 0.38/0.63 (define @t60 () (or @t39 @t50 @t59 @t58)) % 0.38/0.63 (define @t61 () (@list false false false false)) % 0.38/0.63 (define @t62 () (tptp.product tptp.a @t32 tptp.d)) % 0.38/0.63 (define @t63 () (or @t39 @t34 @t46 @t62)) % 0.38/0.63 (define @t64 () (= @t32 @t48)) % 0.38/0.63 (define @t65 () (not @t58)) % 0.38/0.63 (define @t66 () (not @t62)) % 0.38/0.63 (define @t67 () (or @t66 @t65 @t64)) % 0.38/0.63 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.38/0.63 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.38/0.63 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.38/0.63 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.38/0.63 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.38/0.63 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.38/0.63 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.38/0.63 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.38/0.63 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.38/0.63 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.38/0.63 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.38/0.63 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.38/0.63 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.38/0.63 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.38/0.63 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.38/0.63 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.38/0.63 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.38/0.63 (assume @p18 (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.38/0.63 (assume @p19 (forall @t27 (or (not (tptp.product tptp.a @t2 @t25)) (not (tptp.product tptp.a @t1 @t25)) @t26))) % 0.38/0.63 (assume @p20 (forall @t27 (or (not (tptp.product tptp.b @t2 @t25)) (not (tptp.product tptp.b @t1 @t25)) @t26))) % 0.38/0.63 (assume @p21 @t28) % 0.38/0.63 (assume @p22 @t29) % 0.38/0.63 (assume @p23 @t30) % 0.38/0.63 (assume @p24 (not @t31)) % 0.38/0.63 (step @p25 :rule evaluate :args ((= true false))) % 0.38/0.63 (step @p26 :rule instantiate :premises (@p20) :args ((@list tptp.h @t32 tptp.g))) % 0.38/0.63 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.h))) % 0.38/0.63 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b tptp.c tptp.h))) % 0.38/0.63 (step @p29 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.h tptp.d))) % 0.38/0.63 (step @p30 :rule cnf_or_pos :args (@t35)) % 0.38/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t33 (not @t35)))) % 0.38/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p22 @p29) :args (@t33 @t36 (@list @t29 @t35))) % 0.38/0.63 (step @p33 :rule cnf_or_pos :args (@t40)) % 0.38/0.63 (step @p34 :rule reordering :premises (@p33) :args ((or @t39 @t38 @t37 (not @t40)))) % 0.38/0.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p21 @p32 @p28) :args (@t37 @t41 (@list @t28 @t33 @t40))) % 0.38/0.63 (step @p36 :rule cnf_or_pos :args (@t44)) % 0.38/0.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t43 @t42 (not @t44)))) % 0.38/0.63 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p27) :args (@t42 @t36 (@list @t37 @t44))) % 0.38/0.63 (step @p39 :rule cnf_or_pos :args (@t47)) % 0.38/0.63 (step @p40 :rule reordering :premises (@p39) :args ((or @t31 @t46 @t45 (not @t47)))) % 0.38/0.63 (step @p41 :rule chain_m_resolution :premises (@p40 @p24 @p38 @p26) :args (@t45 (@list true false false) (@list @t31 @t42 @t47))) % 0.38/0.63 (step @p42 :rule false_intro :premises (@p41)) % 0.38/0.63 (step @p43 :rule instantiate :premises (@p19) :args ((@list @t32 tptp.d @t48))) % 0.38/0.63 (step @p44 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b tptp.c tptp.g tptp.d @t48))) % 0.38/0.63 (step @p45 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.g))) % 0.38/0.63 (step @p46 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.b tptp.c tptp.g))) % 0.38/0.63 (step @p47 :rule instantiate :premises (@p2) :args ((@list tptp.c tptp.g tptp.d))) % 0.38/0.63 (step @p48 :rule cnf_or_pos :args (@t51)) % 0.38/0.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t50 @t49 (not @t51)))) % 0.38/0.63 (step @p50 :rule chain_m_resolution :premises (@p49 @p23 @p47) :args (@t49 @t36 (@list @t30 @t51))) % 0.38/0.63 (step @p51 :rule cnf_or_pos :args (@t54)) % 0.38/0.63 (step @p52 :rule reordering :premises (@p51) :args ((or @t39 @t53 @t52 (not @t54)))) % 0.38/0.63 (step @p53 :rule chain_m_resolution :premises (@p52 @p21 @p50 @p46) :args (@t52 @t41 (@list @t28 @t49 @t54))) % 0.38/0.63 (step @p54 :rule cnf_or_pos :args (@t57)) % 0.38/0.63 (step @p55 :rule reordering :premises (@p54) :args ((or @t56 @t55 (not @t57)))) % 0.38/0.63 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p45) :args (@t55 @t36 (@list @t52 @t57))) % 0.38/0.63 (step @p57 :rule cnf_or_pos :args (@t60)) % 0.38/0.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t39 @t50 @t59 @t58 (not @t60)))) % 0.38/0.63 (step @p59 :rule chain_m_resolution :premises (@p58 @p21 @p23 @p56 @p44) :args (@t58 @t61 (@list @t28 @t30 @t55 @t60))) % 0.38/0.63 (step @p60 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.b tptp.c tptp.h tptp.d @t32))) % 0.38/0.63 (step @p61 :rule cnf_or_pos :args (@t63)) % 0.38/0.63 (step @p62 :rule reordering :premises (@p61) :args ((or @t39 @t34 @t46 @t62 (not @t63)))) % 0.38/0.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p21 @p22 @p38 @p60) :args (@t62 @t61 (@list @t28 @t29 @t42 @t63))) % 0.38/0.63 (step @p64 :rule cnf_or_pos :args (@t67)) % 0.38/0.63 (step @p65 :rule reordering :premises (@p64) :args ((or @t66 @t65 @t64 (not @t67)))) % 0.38/0.63 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p59 @p43) :args (@t64 @t41 (@list @t62 @t58 @t67))) % 0.38/0.63 (step @p67 :rule symm :premises (@p66)) % 0.38/0.63 (step @p68 :rule refl :args (tptp.g)) % 0.38/0.63 (step @p69 :rule refl :args (tptp.b)) % 0.38/0.63 (step @p70 :rule cong :premises (@p69 @p68 @p67) :args (@t55)) % 0.38/0.63 (step @p71 :rule true_intro :premises (@p56)) % 0.38/0.63 (step @p72 :rule symm :premises (@p71)) % 0.38/0.63 (step @p73 :rule trans :premises (@p72 @p70 @p42)) % 0.38/0.63 (step @p74 false :rule eq_resolve :premises (@p73 @p25)) % 0.38/0.63 ) % 0.38/0.63 % SZS output end Proof % 0.38/0.63 % cvc5 exiting %------------------------------------------------------------------------------