%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT003-1 : 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 : n022.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 0.35s 0.66s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : CAT003-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.38 % Computer : n022.cluster.edu % 0.16/0.38 % Model : x86_64 x86_64 % 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.38 % Memory : 8042.1875MB % 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.38 % CPULimit : 300 % 0.16/0.38 % WCLimit : 300 % 0.16/0.38 % DateTime : Wed Jun 3 02:52:09 EDT 2026 % 0.16/0.38 % CPUTime : % 0.23/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.66 % SZS status Unsatisfiable % 0.35/0.66 % SZS output start Proof % 0.35/0.66 ( % 0.35/0.66 (declare-sort $$unsorted 0) % 0.35/0.66 (declare-const tptp.d $$unsorted) % 0.35/0.66 (declare-const tptp.a $$unsorted) % 0.35/0.66 (declare-const tptp.g $$unsorted) % 0.35/0.66 (declare-const tptp.c $$unsorted) % 0.35/0.66 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.h $$unsorted) % 0.35/0.66 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.35/0.66 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.b $$unsorted) % 0.35/0.66 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.66 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.35/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.66 (define @t3 () (tptp.defined @t2 @t1)) % 0.35/0.66 (define @t4 () (not @t3)) % 0.35/0.66 (define @t5 () (@list @t2 @t1)) % 0.35/0.66 (define @t6 () (@var "Z" $$unsorted)) % 0.35/0.66 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.35/0.66 (define @t8 () (@list @t2 @t1 @t6)) % 0.35/0.66 (define @t9 () (tptp.defined @t1 @t6)) % 0.35/0.66 (define @t10 () (@var "Xy" $$unsorted)) % 0.35/0.66 (define @t11 () (tptp.defined @t10 @t6)) % 0.35/0.66 (define @t12 () (not @t11)) % 0.35/0.66 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.35/0.66 (define @t14 () (@var "Yz" $$unsorted)) % 0.35/0.66 (define @t15 () (tptp.defined @t2 @t14)) % 0.35/0.66 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.35/0.66 (define @t17 () (@var "Xyz" $$unsorted)) % 0.35/0.66 (define @t18 () (tptp.product @t2 @t14 @t17)) % 0.35/0.66 (define @t19 () (tptp.product @t10 @t6 @t17)) % 0.35/0.66 (define @t20 () (not @t15)) % 0.35/0.66 (define @t21 () (not (tptp.identity_map @t1))) % 0.35/0.66 (define @t22 () (tptp.domain @t2)) % 0.35/0.66 (define @t23 () (@list @t2)) % 0.35/0.66 (define @t24 () (tptp.codomain @t2)) % 0.35/0.66 (define @t25 () (@var "W" $$unsorted)) % 0.35/0.66 (define @t26 () (tptp.product tptp.a tptp.b tptp.c)) % 0.35/0.66 (define @t27 () (forall (@list @t2 @t25 @t1) (or (not (tptp.product @t2 tptp.c @t25)) (not (tptp.product @t1 tptp.c @t25)) (= @t2 @t1)))) % 0.35/0.66 (define @t28 () (tptp.product tptp.h tptp.a tptp.d)) % 0.35/0.66 (define @t29 () (tptp.product tptp.g tptp.a tptp.d)) % 0.35/0.66 (define @t30 () (= tptp.h tptp.g)) % 0.35/0.66 (define @t31 () (tptp.compose tptp.d tptp.b)) % 0.35/0.66 (define @t32 () (tptp.codomain tptp.a)) % 0.35/0.66 (define @t33 () (@list tptp.a)) % 0.35/0.66 (define @t34 () (tptp.defined tptp.h tptp.a)) % 0.35/0.66 (define @t35 () (not @t28)) % 0.35/0.66 (define @t36 () (or @t35 @t34)) % 0.35/0.66 (define @t37 () (@list false false)) % 0.35/0.66 (define @t38 () (tptp.defined tptp.h @t32)) % 0.35/0.66 (define @t39 () (not @t34)) % 0.35/0.66 (define @t40 () (tptp.product @t32 tptp.a tptp.a)) % 0.35/0.66 (define @t41 () (not @t40)) % 0.35/0.66 (define @t42 () (or @t41 @t39 @t38)) % 0.35/0.66 (define @t43 () (tptp.defined tptp.a tptp.b)) % 0.35/0.66 (define @t44 () (not @t26)) % 0.35/0.66 (define @t45 () (or @t44 @t43)) % 0.35/0.66 (define @t46 () (tptp.defined @t32 tptp.c)) % 0.35/0.66 (define @t47 () (not @t43)) % 0.35/0.66 (define @t48 () (or @t41 @t44 @t47 @t46)) % 0.35/0.66 (define @t49 () (@list false false false false)) % 0.35/0.66 (define @t50 () (tptp.defined tptp.h tptp.c)) % 0.35/0.66 (define @t51 () (tptp.identity_map @t32)) % 0.35/0.66 (define @t52 () (not @t51)) % 0.35/0.66 (define @t53 () (not @t46)) % 0.35/0.66 (define @t54 () (not @t38)) % 0.35/0.66 (define @t55 () (or @t54 @t53 @t52 @t50)) % 0.35/0.66 (define @t56 () (tptp.defined tptp.d tptp.b)) % 0.35/0.66 (define @t57 () (not @t50)) % 0.35/0.66 (define @t58 () (or @t44 @t35 @t57 @t56)) % 0.35/0.66 (define @t59 () (tptp.product tptp.d tptp.b @t31)) % 0.35/0.66 (define @t60 () (not @t56)) % 0.35/0.66 (define @t61 () (or @t60 @t59)) % 0.35/0.66 (define @t62 () (tptp.product tptp.h tptp.c @t31)) % 0.35/0.66 (define @t63 () (not @t59)) % 0.35/0.66 (define @t64 () (or @t35 @t63 @t44 @t62)) % 0.35/0.66 (define @t65 () (tptp.product tptp.g tptp.c @t31)) % 0.35/0.66 (define @t66 () (not @t29)) % 0.35/0.66 (define @t67 () (or @t66 @t63 @t44 @t65)) % 0.35/0.66 (define @t68 () (not @t65)) % 0.35/0.66 (define @t69 () (not @t62)) % 0.35/0.66 (define @t70 () (or @t69 @t68 @t30)) % 0.35/0.66 (define @t71 () (not @t70)) % 0.35/0.66 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.35/0.66 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.35/0.66 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.35/0.66 (assume @p4 (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.35/0.66 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t17 @t14) (or @t13 (not @t19) @t16 @t18))) % 0.35/0.66 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t20 @t3))) % 0.35/0.66 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t20 @t11))) % 0.35/0.66 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t17 @t10) (or @t16 (not @t18) @t13 @t19))) % 0.35/0.66 (assume @p9 (forall @t8 (or @t4 (not @t9) @t21 (tptp.defined @t2 @t6)))) % 0.35/0.66 (assume @p10 (forall @t23 (tptp.identity_map @t22))) % 0.35/0.66 (assume @p11 (forall @t23 (tptp.identity_map @t24))) % 0.35/0.66 (assume @p12 (forall @t23 (tptp.defined @t2 @t22))) % 0.35/0.66 (assume @p13 (forall @t23 (tptp.defined @t24 @t2))) % 0.35/0.66 (assume @p14 (forall @t23 (tptp.product @t2 @t22 @t2))) % 0.35/0.66 (assume @p15 (forall @t23 (tptp.product @t24 @t2 @t2))) % 0.35/0.66 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.35/0.66 (assume @p17 (forall @t5 (or @t4 @t21 (tptp.product @t2 @t1 @t2)))) % 0.35/0.66 (assume @p18 (forall (@list @t2 @t1 @t6 @t25) (or @t7 (not (tptp.product @t2 @t1 @t25)) (= @t6 @t25)))) % 0.35/0.66 (assume @p19 @t26) % 0.35/0.66 (assume @p20 @t27) % 0.35/0.66 (assume @p21 @t28) % 0.35/0.66 (assume @p22 @t29) % 0.35/0.66 (assume @p23 (not @t30)) % 0.35/0.66 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.h tptp.a tptp.d tptp.b @t31 tptp.c))) % 0.35/0.66 (step @p25 :rule instantiate :premises (@p1) :args ((@list tptp.d tptp.b))) % 0.35/0.66 (step @p26 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.c tptp.h tptp.d))) % 0.35/0.66 (step @p27 :rule instantiate :premises (@p9) :args ((@list tptp.h @t32 tptp.c))) % 0.35/0.66 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t32 tptp.a tptp.a tptp.h))) % 0.35/0.66 (step @p29 :rule instantiate :premises (@p15) :args (@t33)) % 0.35/0.66 (step @p30 :rule instantiate :premises (@p2) :args ((@list tptp.h tptp.a tptp.d))) % 0.35/0.66 (step @p31 :rule cnf_or_pos :args (@t36)) % 0.35/0.66 (step @p32 :rule reordering :premises (@p31) :args ((or @t35 @t34 (not @t36)))) % 0.35/0.66 (step @p33 :rule chain_m_resolution :premises (@p32 @p21 @p30) :args (@t34 @t37 (@list @t28 @t36))) % 0.35/0.66 (step @p34 :rule cnf_or_pos :args (@t42)) % 0.35/0.66 (step @p35 :rule reordering :premises (@p34) :args ((or @t39 @t41 @t38 (not @t42)))) % 0.35/0.66 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p29 @p28) :args (@t38 (@list false false false) (@list @t34 @t40 @t42))) % 0.35/0.66 (step @p37 :rule instantiate :premises (@p4) :args ((@list @t32 tptp.a tptp.a tptp.b tptp.c))) % 0.35/0.66 (step @p38 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.c))) % 0.35/0.66 (step @p39 :rule cnf_or_pos :args (@t45)) % 0.35/0.66 (step @p40 :rule reordering :premises (@p39) :args ((or @t44 @t43 (not @t45)))) % 0.35/0.66 (step @p41 :rule chain_m_resolution :premises (@p40 @p19 @p38) :args (@t43 @t37 (@list @t26 @t45))) % 0.35/0.66 (step @p42 :rule cnf_or_pos :args (@t48)) % 0.35/0.66 (step @p43 :rule reordering :premises (@p42) :args ((or @t44 @t47 @t41 @t46 (not @t48)))) % 0.35/0.66 (step @p44 :rule chain_m_resolution :premises (@p43 @p19 @p41 @p29 @p37) :args (@t46 @t49 (@list @t26 @t43 @t40 @t48))) % 0.35/0.66 (step @p45 :rule instantiate :premises (@p11) :args (@t33)) % 0.35/0.66 (step @p46 :rule cnf_or_pos :args (@t55)) % 0.35/0.66 (step @p47 :rule reordering :premises (@p46) :args ((or @t50 @t52 @t53 @t54 (not @t55)))) % 0.35/0.66 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44 @p36 @p27) :args (@t50 @t49 (@list @t51 @t46 @t38 @t55))) % 0.35/0.66 (step @p49 :rule cnf_or_pos :args (@t58)) % 0.35/0.66 (step @p50 :rule reordering :premises (@p49) :args ((or @t44 @t35 @t56 @t57 (not @t58)))) % 0.35/0.66 (step @p51 :rule chain_m_resolution :premises (@p50 @p19 @p21 @p48 @p26) :args (@t56 @t49 (@list @t26 @t28 @t50 @t58))) % 0.35/0.66 (step @p52 :rule cnf_or_pos :args (@t61)) % 0.35/0.66 (step @p53 :rule reordering :premises (@p52) :args ((or @t60 @t59 (not @t61)))) % 0.35/0.66 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p25) :args (@t59 @t37 (@list @t56 @t61))) % 0.35/0.66 (step @p55 :rule cnf_or_pos :args (@t64)) % 0.35/0.66 (step @p56 :rule reordering :premises (@p55) :args ((or @t44 @t35 @t63 @t62 (not @t64)))) % 0.35/0.66 (step @p57 :rule chain_m_resolution :premises (@p56 @p19 @p21 @p54 @p24) :args (@t62 @t49 (@list @t26 @t28 @t59 @t64))) % 0.35/0.66 (step @p58 :rule instantiate :premises (@p5) :args ((@list tptp.g tptp.a tptp.d tptp.b @t31 tptp.c))) % 0.35/0.66 (step @p59 :rule cnf_or_pos :args (@t67)) % 0.35/0.66 (step @p60 :rule reordering :premises (@p59) :args ((or @t44 @t66 @t63 @t65 (not @t67)))) % 0.35/0.66 (step @p61 :rule chain_m_resolution :premises (@p60 @p19 @p22 @p54 @p58) :args (@t65 @t49 (@list @t26 @t29 @t59 @t67))) % 0.35/0.66 (step @p62 :rule cnf_or_pos :args (@t70)) % 0.35/0.66 (step @p63 :rule reordering :premises (@p62) :args ((or @t30 @t68 @t69 @t71))) % 0.35/0.66 (step @p64 :rule chain_m_resolution :premises (@p63 @p23 @p61 @p57) :args (@t71 (@list true false false) (@list @t30 @t65 @t62))) % 0.35/0.66 (assume-push @p71 @t27) % 0.35/0.66 (step @p66 :rule instantiate :premises (@p20) :args ((@list tptp.h @t31 tptp.g))) % 0.35/0.66 (step-pop @p72 :rule scope :premises (@p66)) % 0.35/0.66 (step @p67 :rule process_scope :premises (@p72) :args (@t70)) % 0.35/0.66 (step @p69 :rule implies_elim :premises (@p67)) % 0.35/0.66 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p20) :args (false (@list true false) (@list @t70 @t27))) % 0.35/0.66 ) % 0.35/0.66 % SZS output end Proof % 0.35/0.66 % cvc5 exiting %------------------------------------------------------------------------------