%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT018-1 : 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 : n017.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 08:09:26 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.59s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : CAT018-1 : TPTP v9.2.1. Released v1.0.0. % 0.10/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:54:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.59 % SZS status Unsatisfiable % 0.33/0.59 % SZS output start Proof % 0.33/0.59 ( % 0.33/0.59 (declare-sort $$unsorted 0) % 0.33/0.59 (declare-const tptp.a $$unsorted) % 0.33/0.59 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.33/0.59 (declare-const tptp.identity_map (-> $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.b $$unsorted) % 0.33/0.59 (declare-const tptp.defined (-> $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.59 (declare-const tptp.c $$unsorted) % 0.33/0.59 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.33/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.33/0.59 (define @t3 () (tptp.defined @t2 @t1)) % 0.33/0.59 (define @t4 () (not @t3)) % 0.33/0.59 (define @t5 () (@list @t2 @t1)) % 0.33/0.59 (define @t6 () (@var "Z" $$unsorted)) % 0.33/0.59 (define @t7 () (not (tptp.product @t2 @t1 @t6))) % 0.33/0.59 (define @t8 () (@list @t2 @t1 @t6)) % 0.33/0.59 (define @t9 () (tptp.defined @t1 @t6)) % 0.33/0.59 (define @t10 () (@var "Xy" $$unsorted)) % 0.33/0.59 (define @t11 () (tptp.defined @t10 @t6)) % 0.33/0.59 (define @t12 () (not @t11)) % 0.33/0.59 (define @t13 () (not (tptp.product @t2 @t1 @t10))) % 0.33/0.59 (define @t14 () (@var "Yz" $$unsorted)) % 0.33/0.59 (define @t15 () (tptp.defined @t2 @t14)) % 0.33/0.59 (define @t16 () (not (tptp.product @t1 @t6 @t14))) % 0.33/0.59 (define @t17 () (forall (@list @t2 @t1 @t10 @t6 @t14) (or @t13 @t16 @t12 @t15))) % 0.33/0.59 (define @t18 () (@var "Xyz" $$unsorted)) % 0.33/0.59 (define @t19 () (tptp.product @t2 @t14 @t18)) % 0.33/0.59 (define @t20 () (tptp.product @t10 @t6 @t18)) % 0.33/0.59 (define @t21 () (not @t15)) % 0.33/0.59 (define @t22 () (not (tptp.identity_map @t1))) % 0.33/0.59 (define @t23 () (tptp.domain @t2)) % 0.33/0.59 (define @t24 () (@list @t2)) % 0.33/0.59 (define @t25 () (tptp.codomain @t2)) % 0.33/0.59 (define @t26 () (@var "W" $$unsorted)) % 0.33/0.59 (define @t27 () (tptp.defined tptp.a tptp.b)) % 0.33/0.59 (define @t28 () (tptp.defined tptp.b tptp.c)) % 0.33/0.59 (define @t29 () (tptp.compose tptp.b tptp.c)) % 0.33/0.59 (define @t30 () (tptp.defined tptp.a @t29)) % 0.33/0.59 (define @t31 () (tptp.domain tptp.a)) % 0.33/0.59 (define @t32 () (@list tptp.a)) % 0.33/0.59 (define @t33 () (tptp.defined @t31 tptp.b)) % 0.33/0.59 (define @t34 () (not @t27)) % 0.33/0.59 (define @t35 () (tptp.product tptp.a @t31 tptp.a)) % 0.33/0.59 (define @t36 () (not @t35)) % 0.33/0.59 (define @t37 () (or @t36 @t34 @t33)) % 0.33/0.59 (define @t38 () (@list false false false)) % 0.33/0.59 (define @t39 () (tptp.product @t31 tptp.b tptp.b)) % 0.33/0.59 (define @t40 () (tptp.identity_map @t31)) % 0.33/0.59 (define @t41 () (not @t40)) % 0.33/0.59 (define @t42 () (not @t33)) % 0.33/0.59 (define @t43 () (or @t42 @t41 @t39)) % 0.33/0.59 (define @t44 () (tptp.defined @t31 @t29)) % 0.33/0.59 (define @t45 () (not @t44)) % 0.33/0.59 (define @t46 () (tptp.defined tptp.a @t31)) % 0.33/0.59 (define @t47 () (not @t46)) % 0.33/0.59 (define @t48 () (or @t47 @t45 @t41 @t30)) % 0.33/0.59 (define @t49 () (tptp.product tptp.b tptp.c @t29)) % 0.33/0.59 (define @t50 () (not @t28)) % 0.33/0.59 (define @t51 () (or @t50 @t49)) % 0.33/0.59 (define @t52 () (not @t49)) % 0.33/0.59 (define @t53 () (not @t39)) % 0.33/0.59 (define @t54 () (or @t53 @t52 @t50 @t44)) % 0.33/0.59 (define @t55 () (not @t54)) % 0.33/0.59 (assume @p1 (forall @t5 (or @t4 (tptp.product @t2 @t1 (tptp.compose @t2 @t1))))) % 0.33/0.59 (assume @p2 (forall @t8 (or @t7 @t3))) % 0.33/0.59 (assume @p3 (forall (@list @t2 @t1 @t10 @t6) (or @t13 @t12 @t9))) % 0.33/0.59 (assume @p4 @t17) % 0.33/0.59 (assume @p5 (forall (@list @t2 @t1 @t10 @t6 @t18 @t14) (or @t13 (not @t20) @t16 @t19))) % 0.33/0.59 (assume @p6 (forall (@list @t1 @t6 @t14 @t2) (or @t16 @t21 @t3))) % 0.33/0.59 (assume @p7 (forall (@list @t1 @t6 @t14 @t2 @t10) (or @t16 @t13 @t21 @t11))) % 0.33/0.59 (assume @p8 (forall (@list @t1 @t6 @t14 @t2 @t18 @t10) (or @t16 (not @t19) @t13 @t20))) % 0.33/0.59 (assume @p9 (forall @t8 (or @t4 (not @t9) @t22 (tptp.defined @t2 @t6)))) % 0.33/0.59 (assume @p10 (forall @t24 (tptp.identity_map @t23))) % 0.33/0.59 (assume @p11 (forall @t24 (tptp.identity_map @t25))) % 0.33/0.59 (assume @p12 (forall @t24 (tptp.defined @t2 @t23))) % 0.33/0.59 (assume @p13 (forall @t24 (tptp.defined @t25 @t2))) % 0.33/0.59 (assume @p14 (forall @t24 (tptp.product @t2 @t23 @t2))) % 0.33/0.59 (assume @p15 (forall @t24 (tptp.product @t25 @t2 @t2))) % 0.33/0.59 (assume @p16 (forall @t5 (or @t4 (not (tptp.identity_map @t2)) (tptp.product @t2 @t1 @t1)))) % 0.33/0.59 (assume @p17 (forall @t5 (or @t4 @t22 (tptp.product @t2 @t1 @t2)))) % 0.33/0.59 (assume @p18 (forall (@list @t2 @t1 @t6 @t26) (or @t7 (not (tptp.product @t2 @t1 @t26)) (= @t6 @t26)))) % 0.33/0.59 (assume @p19 @t27) % 0.33/0.59 (assume @p20 @t28) % 0.33/0.59 (assume @p21 (not @t30)) % 0.33/0.59 (step @p22 :rule instantiate :premises (@p16) :args ((@list @t31 tptp.b))) % 0.33/0.59 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.a @t31 tptp.a tptp.b))) % 0.33/0.59 (step @p24 :rule instantiate :premises (@p14) :args (@t32)) % 0.33/0.59 (step @p25 :rule cnf_or_pos :args (@t37)) % 0.33/0.59 (step @p26 :rule reordering :premises (@p25) :args ((or @t34 @t36 @t33 (not @t37)))) % 0.33/0.59 (step @p27 :rule chain_m_resolution :premises (@p26 @p19 @p24 @p23) :args (@t33 @t38 (@list @t27 @t35 @t37))) % 0.33/0.59 (step @p28 :rule instantiate :premises (@p10) :args (@t32)) % 0.33/0.59 (step @p29 :rule cnf_or_pos :args (@t43)) % 0.33/0.59 (step @p30 :rule reordering :premises (@p29) :args ((or @t41 @t42 @t39 (not @t43)))) % 0.33/0.59 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27 @p22) :args (@t39 @t38 (@list @t40 @t33 @t43))) % 0.33/0.59 (step @p32 :rule instantiate :premises (@p9) :args ((@list tptp.a @t31 @t29))) % 0.33/0.59 (step @p33 :rule instantiate :premises (@p12) :args (@t32)) % 0.33/0.59 (step @p34 :rule cnf_or_pos :args (@t48)) % 0.33/0.59 (step @p35 :rule reordering :premises (@p34) :args ((or @t30 @t41 @t47 @t45 (not @t48)))) % 0.33/0.59 (step @p36 :rule chain_m_resolution :premises (@p35 @p21 @p28 @p33 @p32) :args (@t45 (@list true false false false) (@list @t30 @t40 @t46 @t48))) % 0.33/0.59 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.c))) % 0.33/0.59 (step @p38 :rule cnf_or_pos :args (@t51)) % 0.33/0.59 (step @p39 :rule reordering :premises (@p38) :args ((or @t50 @t49 (not @t51)))) % 0.33/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p20 @p37) :args (@t49 (@list false false) (@list @t28 @t51))) % 0.33/0.59 (step @p41 :rule cnf_or_pos :args (@t54)) % 0.33/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t52 @t44 @t53 @t55))) % 0.33/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p20 @p40 @p36 @p31) :args (@t55 (@list false false true false) (@list @t28 @t49 @t44 @t39))) % 0.33/0.59 (assume-push @p50 @t17) % 0.33/0.59 (step @p45 :rule instantiate :premises (@p4) :args ((@list @t31 tptp.b tptp.b tptp.c @t29))) % 0.33/0.59 (step-pop @p51 :rule scope :premises (@p45)) % 0.33/0.59 (step @p46 :rule process_scope :premises (@p51) :args (@t54)) % 0.33/0.59 (step @p48 :rule implies_elim :premises (@p46)) % 0.33/0.59 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p4) :args (false (@list true false) (@list @t54 @t17))) % 0.33/0.59 ) % 0.33/0.59 % SZS output end Proof % 0.33/0.60 % cvc5 exiting %------------------------------------------------------------------------------