%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT001-1 : 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 : n003.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 08:09:20 AM UTC 2026 % Result : Unsatisfiable 0.26s 0.91s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.24 % Problem : CAT001-1 : TPTP v9.2.1. Released v1.0.0. % 0.08/0.25 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.47 % Computer : n003.cluster.edu % 0.12/0.47 % Model : x86_64 x86_64 % 0.12/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.47 % Memory : 8042.1875MB % 0.12/0.47 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.47 % CPULimit : 300 % 0.12/0.47 % WCLimit : 300 % 0.12/0.47 % DateTime : Wed Jun 3 02:51:30 EDT 2026 % 0.12/0.47 % CPUTime : % 0.24/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.24/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.91 % SZS status Unsatisfiable % 0.26/0.91 % SZS output start Proof % 0.26/0.91 ( % 0.26/0.91 (declare-sort $$unsorted 0) % 0.26/0.91 (declare-const tptp.a $$unsorted) % 0.26/0.91 (declare-const tptp.h $$unsorted) % 0.26/0.91 (declare-const tptp.c $$unsorted) % 0.26/0.91 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.26/0.91 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.26/0.91 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.26/0.91 (declare-const tptp.b $$unsorted) % 0.26/0.91 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.26/0.91 (declare-const tptp.g $$unsorted) % 0.26/0.91 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.26/0.91 (declare-const tptp.d $$unsorted) % 0.26/0.91 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.91 (define @t1 () (@var "Y" $$unsorted)) % 0.26/0.91 (define @t2 () (@var "X" $$unsorted)) % 0.26/0.91 (define @t3 () (tptp.defined @t2 @t1)) % 0.26/0.91 (define @t4 () (not @t3)) % 0.26/0.91 (define @t5 () (@list @t2 @t1)) % 0.26/0.91 (define @t6 () (@var "Z" $$unsorted)) % 0.26/0.91 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.26/0.91 (define @t8 () (@list @t2 @t1 @t6)) % 0.26/0.91 (define @t9 () (tptp.defined @t1 @t6)) % 0.26/0.91 (define @t10 () (@var "Xy" $$unsorted)) % 0.26/0.91 (define @t11 () (tptp.defined @t10 @t6)) % 0.26/0.91 (define @t12 () (not @t11)) % 0.26/0.91 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.26/0.91 (define @t14 () (@var "Yz" $$unsorted)) % 0.26/0.91 (define @t15 () (tptp.defined @t2 @t14)) % 0.26/0.91 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.26/0.91 (define @t17 () (@var "Xyz" $$unsorted)) % 0.26/0.91 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.26/0.91 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.26/0.91 (define @t20 () (not @t15)) % 0.26/0.91 (define @t21 () (not (tptp.identity_map @t1))) % 0.26/0.91 (define @t22 () (tptp.domain @t2)) % 0.26/0.91 (define @t23 () (@list @t2)) % 0.26/0.91 (define @t24 () (tptp.codomain @t2)) % 0.26/0.91 (define @t25 () (@var "W" $$unsorted)) % 0.26/0.91 (define @t26 () (tptp.product tptp.a tptp.b tptp.c)) % 0.26/0.91 (define @t27 () (@var "X3" $$unsorted)) % 0.26/0.91 (define @t28 () (@var "X1" $$unsorted)) % 0.26/0.91 (define @t29 () (@var "X2" $$unsorted)) % 0.26/0.91 (define @t30 () (forall (@list @t28 @t29 @t27) (or (not (tptp.product tptp.c @t28 @t29)) (not (tptp.product tptp.c @t27 @t29)) (= @t28 @t27)))) % 0.26/0.91 (define @t31 () (tptp.product tptp.b tptp.h tptp.d)) % 0.26/0.91 (define @t32 () (tptp.product tptp.b tptp.g tptp.d)) % 0.26/0.91 (define @t33 () (= tptp.h tptp.g)) % 0.26/0.91 (define @t34 () (tptp.compose tptp.a tptp.d)) % 0.26/0.91 (define @t35 () (tptp.domain tptp.a)) % 0.26/0.91 (define @t36 () (@list tptp.a)) % 0.26/0.91 (define @t37 () (tptp.defined tptp.a tptp.b)) % 0.26/0.91 (define @t38 () (not @t26)) % 0.26/0.91 (define @t39 () (or @t38 @t37)) % 0.26/0.91 (define @t40 () (@list false false)) % 0.26/0.91 (define @t41 () (tptp.defined @t35 tptp.b)) % 0.26/0.91 (define @t42 () (not @t37)) % 0.26/0.91 (define @t43 () (tptp.product tptp.a @t35 tptp.a)) % 0.26/0.91 (define @t44 () (not @t43)) % 0.26/0.91 (define @t45 () (or @t44 @t42 @t41)) % 0.26/0.91 (define @t46 () (@list false false false)) % 0.26/0.91 (define @t47 () (tptp.product @t35 tptp.b tptp.b)) % 0.26/0.91 (define @t48 () (tptp.identity_map @t35)) % 0.26/0.91 (define @t49 () (not @t48)) % 0.26/0.91 (define @t50 () (not @t41)) % 0.26/0.91 (define @t51 () (or @t50 @t49 @t47)) % 0.26/0.91 (define @t52 () (tptp.defined tptp.b tptp.h)) % 0.26/0.91 (define @t53 () (not @t31)) % 0.26/0.91 (define @t54 () (or @t53 @t52)) % 0.26/0.91 (define @t55 () (tptp.defined @t35 tptp.d)) % 0.26/0.91 (define @t56 () (not @t52)) % 0.26/0.91 (define @t57 () (not @t47)) % 0.26/0.91 (define @t58 () (or @t57 @t53 @t56 @t55)) % 0.26/0.91 (define @t59 () (@list false false false false)) % 0.26/0.91 (define @t60 () (tptp.defined tptp.a tptp.d)) % 0.26/0.91 (define @t61 () (not @t55)) % 0.26/0.91 (define @t62 () (tptp.defined tptp.a @t35)) % 0.26/0.91 (define @t63 () (not @t62)) % 0.26/0.91 (define @t64 () (or @t63 @t61 @t49 @t60)) % 0.26/0.91 (define @t65 () (tptp.product tptp.a tptp.d @t34)) % 0.26/0.91 (define @t66 () (not @t60)) % 0.26/0.91 (define @t67 () (or @t66 @t65)) % 0.26/0.91 (define @t68 () (tptp.product tptp.c tptp.g @t34)) % 0.26/0.91 (define @t69 () (not @t65)) % 0.26/0.91 (define @t70 () (not @t32)) % 0.26/0.91 (define @t71 () (or @t70 @t69 @t38 @t68)) % 0.26/0.91 (define @t72 () (tptp.product tptp.c tptp.h @t34)) % 0.26/0.91 (define @t73 () (or @t53 @t69 @t38 @t72)) % 0.26/0.91 (define @t74 () (not @t72)) % 0.26/0.91 (define @t75 () (not @t68)) % 0.26/0.91 (define @t76 () (or @t75 @t74 @t33)) % 0.26/0.91 (define @t77 () (not @t76)) % 0.26/0.91 (define @t78 () (or @t75 @t74 (= tptp.g tptp.h))) % 0.26/0.91 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.26/0.91 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.26/0.91 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.26/0.91 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.26/0.91 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.26/0.91 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.26/0.91 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.26/0.91 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.26/0.91 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.26/0.91 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.26/0.91 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.26/0.91 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.26/0.91 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.26/0.91 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.26/0.91 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.26/0.91 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.26/0.91 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.26/0.91 (assume @p18 (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.26/0.91 (assume @p19 @t26) % 0.26/0.91 (assume @p20 @t30) % 0.26/0.91 (assume @p21 @t31) % 0.26/0.91 (assume @p22 @t32) % 0.26/0.91 (assume @p23 (not @t33)) % 0.26/0.91 (step @p24 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.g tptp.d tptp.a @t34 tptp.c))) % 0.26/0.91 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.d))) % 0.26/0.91 (step @p26 :rule instantiate :premises (@p9) :args ((@list tptp.a @t35 tptp.d))) % 0.26/0.91 (step @p27 :rule instantiate :premises (@p4) :args ((@list @t35 tptp.b tptp.b tptp.h tptp.d))) % 0.26/0.91 (step @p28 :rule instantiate :premises (@p16) :args ((@list @t35 tptp.b))) % 0.26/0.91 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.a @t35 tptp.a tptp.b))) % 0.26/0.91 (step @p30 :rule instantiate :premises (@p14) :args (@t36)) % 0.26/0.91 (step @p31 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.c))) % 0.26/0.91 (step @p32 :rule cnf_or_pos :args (@t39)) % 0.26/0.91 (step @p33 :rule reordering :premises (@p32) :args ((or @t38 @t37 (not @t39)))) % 0.26/0.91 (step @p34 :rule chain_m_resolution :premises (@p33 @p19 @p31) :args (@t37 @t40 (@list @t26 @t39))) % 0.26/0.91 (step @p35 :rule cnf_or_pos :args (@t45)) % 0.26/0.91 (step @p36 :rule reordering :premises (@p35) :args ((or @t42 @t44 @t41 (not @t45)))) % 0.26/0.91 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30 @p29) :args (@t41 @t46 (@list @t37 @t43 @t45))) % 0.26/0.91 (step @p38 :rule instantiate :premises (@p10) :args (@t36)) % 0.26/0.91 (step @p39 :rule cnf_or_pos :args (@t51)) % 0.26/0.91 (step @p40 :rule reordering :premises (@p39) :args ((or @t49 @t50 @t47 (not @t51)))) % 0.26/0.91 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p28) :args (@t47 @t46 (@list @t48 @t41 @t51))) % 0.26/0.91 (step @p42 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.h tptp.d))) % 0.26/0.91 (step @p43 :rule cnf_or_pos :args (@t54)) % 0.26/0.91 (step @p44 :rule reordering :premises (@p43) :args ((or @t53 @t52 (not @t54)))) % 0.26/0.91 (step @p45 :rule chain_m_resolution :premises (@p44 @p21 @p42) :args (@t52 @t40 (@list @t31 @t54))) % 0.26/0.91 (step @p46 :rule cnf_or_pos :args (@t58)) % 0.26/0.91 (step @p47 :rule reordering :premises (@p46) :args ((or @t53 @t56 @t55 @t57 (not @t58)))) % 0.26/0.91 (step @p48 :rule chain_m_resolution :premises (@p47 @p21 @p45 @p41 @p27) :args (@t55 @t59 (@list @t31 @t52 @t47 @t58))) % 0.26/0.91 (step @p49 :rule instantiate :premises (@p12) :args (@t36)) % 0.26/0.91 (step @p50 :rule cnf_or_pos :args (@t64)) % 0.26/0.91 (step @p51 :rule reordering :premises (@p50) :args ((or @t60 @t49 @t63 @t61 (not @t64)))) % 0.26/0.91 (step @p52 :rule chain_m_resolution :premises (@p51 @p38 @p49 @p48 @p26) :args (@t60 @t59 (@list @t48 @t62 @t55 @t64))) % 0.26/0.91 (step @p53 :rule cnf_or_pos :args (@t67)) % 0.26/0.91 (step @p54 :rule reordering :premises (@p53) :args ((or @t66 @t65 (not @t67)))) % 0.26/0.91 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p25) :args (@t65 @t40 (@list @t60 @t67))) % 0.26/0.91 (step @p56 :rule cnf_or_pos :args (@t71)) % 0.26/0.91 (step @p57 :rule reordering :premises (@p56) :args ((or @t38 @t70 @t69 @t68 (not @t71)))) % 0.26/0.91 (step @p58 :rule chain_m_resolution :premises (@p57 @p19 @p22 @p55 @p24) :args (@t68 @t59 (@list @t26 @t32 @t65 @t71))) % 0.26/0.91 (step @p59 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.h tptp.d tptp.a @t34 tptp.c))) % 0.26/0.91 (step @p60 :rule cnf_or_pos :args (@t73)) % 0.26/0.91 (step @p61 :rule reordering :premises (@p60) :args ((or @t38 @t53 @t69 @t72 (not @t73)))) % 0.26/0.91 (step @p62 :rule chain_m_resolution :premises (@p61 @p19 @p21 @p55 @p59) :args (@t72 @t59 (@list @t26 @t31 @t65 @t73))) % 0.26/0.91 (step @p63 :rule cnf_or_pos :args (@t76)) % 0.26/0.91 (step @p64 :rule reordering :premises (@p63) :args ((or @t33 @t74 @t75 @t77))) % 0.26/0.91 (step @p65 :rule chain_m_resolution :premises (@p64 @p23 @p62 @p58) :args (@t77 (@list true false false) (@list @t33 @t72 @t68))) % 0.26/0.91 (step @p66 :rule eq-symm :args (tptp.g tptp.h)) % 0.26/0.91 (step @p67 :rule refl :args (@t74)) % 0.26/0.91 (step @p68 :rule refl :args (@t75)) % 0.26/0.91 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t78)) % 0.26/0.91 (step @p70 :rule refl :args (@t30)) % 0.26/0.91 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t30 @t78))) % 0.26/0.91 (assume-push @p79 @t30) % 0.26/0.91 (step @p73 :rule instantiate :premises (@p20) :args ((@list tptp.g @t34 tptp.h))) % 0.26/0.91 (step-pop @p80 :rule scope :premises (@p73)) % 0.26/0.91 (step @p74 :rule process_scope :premises (@p80) :args (@t78)) % 0.26/0.91 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.26/0.91 (step @p77 :rule implies_elim :premises (@p76)) % 0.26/0.91 (step @p78 false :rule chain_m_resolution :premises (@p77 @p65 @p20) :args (false (@list true false) (@list @t76 @t30))) % 0.26/0.91 ) % 0.26/0.91 % SZS output end Proof % 0.26/0.91 % cvc5 exiting %------------------------------------------------------------------------------