%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM021-1 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:38:22 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM021-1 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 10:19:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.a $$unsorted) % 0.39/0.56 (declare-const tptp.b $$unsorted) % 0.39/0.56 (declare-const tptp.predecessor_of_1st_minus_2nd (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.c $$unsorted) % 0.39/0.56 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.n0 $$unsorted) % 0.39/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t4 () (tptp.successor @t3)) % 0.39/0.56 (define @t5 () (@list @t1 @t3)) % 0.39/0.56 (define @t6 () (tptp.equalish @t1 @t3)) % 0.39/0.56 (define @t7 () (tptp.successor @t1)) % 0.39/0.56 (define @t8 () (tptp.equalish @t7 @t4)) % 0.39/0.56 (define @t9 () (not @t6)) % 0.39/0.56 (define @t10 () (@var "C" $$unsorted)) % 0.39/0.56 (define @t11 () (tptp.less @t1 @t3)) % 0.39/0.56 (define @t12 () (not @t11)) % 0.39/0.56 (define @t13 () (@list @t1 @t3 @t10)) % 0.39/0.56 (define @t14 () (forall @t13 (or @t12 (not (tptp.less @t10 @t1)) (tptp.less @t10 @t3)))) % 0.39/0.56 (define @t15 () (tptp.divides @t1 @t3)) % 0.39/0.56 (define @t16 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t17 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t18 () (not (tptp.equalish @t16 @t17))) % 0.39/0.56 (define @t19 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t20 () (tptp.less tptp.b tptp.c)) % 0.39/0.56 (define @t21 () (tptp.less tptp.b tptp.a)) % 0.39/0.56 (define @t22 () (tptp.divides tptp.c tptp.a)) % 0.39/0.56 (define @t23 () (tptp.predecessor_of_1st_minus_2nd tptp.c tptp.b)) % 0.39/0.56 (define @t24 () (tptp.add (tptp.successor @t23) tptp.b)) % 0.39/0.56 (define @t25 () (tptp.equalish @t24 tptp.a)) % 0.39/0.56 (define @t26 () (not @t25)) % 0.39/0.56 (define @t27 () (or @t26 @t21)) % 0.39/0.56 (define @t28 () (@list true false)) % 0.39/0.56 (define @t29 () (tptp.equalish @t24 tptp.c)) % 0.39/0.56 (define @t30 () (not @t20)) % 0.39/0.56 (define @t31 () (or @t30 @t29)) % 0.39/0.56 (define @t32 () (tptp.equalish tptp.c tptp.a)) % 0.39/0.56 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (not @t29)) % 0.39/0.56 (define @t35 () (or @t34 @t33 @t25)) % 0.39/0.56 (define @t36 () (@list false true false)) % 0.39/0.56 (define @t37 () (tptp.less tptp.c tptp.a)) % 0.39/0.56 (define @t38 () (not @t22)) % 0.39/0.56 (define @t39 () (or @t38 @t37 @t32)) % 0.39/0.56 (define @t40 () (not @t37)) % 0.39/0.56 (define @t41 () (or @t40 @t30 @t21)) % 0.39/0.56 (define @t42 () (not @t41)) % 0.39/0.56 (assume @p1 (forall @t2 (tptp.equalish (tptp.add @t1 tptp.n0) @t1))) % 0.39/0.56 (assume @p2 (forall @t5 (tptp.equalish (tptp.add @t1 @t4) (tptp.successor (tptp.add @t1 @t3))))) % 0.39/0.56 (assume @p3 (forall @t2 (tptp.equalish (tptp.multiply @t1 tptp.n0) tptp.n0))) % 0.39/0.56 (assume @p4 (forall @t5 (tptp.equalish (tptp.multiply @t1 @t4) (tptp.add (tptp.multiply @t1 @t3) @t1)))) % 0.39/0.56 (assume @p5 (forall @t5 (or (not @t8) @t6))) % 0.39/0.56 (assume @p6 (forall @t5 (or @t9 @t8))) % 0.39/0.56 (assume @p7 @t14) % 0.39/0.56 (assume @p8 (forall @t13 (or (not (tptp.equalish (tptp.add @t7 @t3) @t10)) (tptp.less @t3 @t10)))) % 0.39/0.56 (assume @p9 (forall @t5 (or @t12 (tptp.equalish (tptp.add (tptp.successor (tptp.predecessor_of_1st_minus_2nd @t3 @t1)) @t1) @t3)))) % 0.39/0.56 (assume @p10 (forall @t5 (or (not @t15) @t11 @t6))) % 0.39/0.56 (assume @p11 (forall @t5 (or @t12 @t15))) % 0.39/0.56 (assume @p12 (forall @t5 (or @t9 @t15))) % 0.39/0.56 (assume @p13 (forall (@list @t16) (tptp.equalish @t16 @t16))) % 0.39/0.56 (assume @p14 (forall (@list @t16 @t17) (or @t18 (tptp.equalish @t17 @t16)))) % 0.39/0.56 (assume @p15 (forall (@list @t16 @t17 @t19) (or @t18 (not (tptp.equalish @t17 @t19)) (tptp.equalish @t16 @t19)))) % 0.39/0.56 (assume @p16 @t20) % 0.39/0.56 (assume @p17 (not @t21)) % 0.39/0.56 (assume @p18 @t22) % 0.39/0.56 (assume @p19 (forall @t2 (not (tptp.equalish @t7 tptp.n0)))) % 0.39/0.56 (step @p20 :rule instantiate :premises (@p10) :args ((@list tptp.c tptp.a))) % 0.39/0.56 (step @p21 :rule instantiate :premises (@p15) :args ((@list @t24 tptp.c tptp.a))) % 0.39/0.56 (step @p22 :rule instantiate :premises (@p8) :args ((@list @t23 tptp.b tptp.a))) % 0.39/0.56 (step @p23 :rule cnf_or_pos :args (@t27)) % 0.39/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t21 @t26 (not @t27)))) % 0.39/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p17 @p22) :args (@t26 @t28 (@list @t21 @t27))) % 0.39/0.56 (step @p26 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.c))) % 0.39/0.56 (step @p27 :rule cnf_or_pos :args (@t31)) % 0.39/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t30 @t29 (not @t31)))) % 0.39/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p16 @p26) :args (@t29 (@list false false) (@list @t20 @t31))) % 0.39/0.56 (step @p30 :rule cnf_or_pos :args (@t35)) % 0.39/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t33 @t25 (not @t35)))) % 0.39/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p25 @p21) :args (@t33 @t36 (@list @t29 @t25 @t35))) % 0.39/0.56 (step @p33 :rule cnf_or_pos :args (@t39)) % 0.39/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t38 @t37 @t32 (not @t39)))) % 0.39/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p18 @p32 @p20) :args (@t37 @t36 (@list @t22 @t32 @t39))) % 0.39/0.56 (step @p36 :rule cnf_or_pos :args (@t41)) % 0.39/0.56 (step @p37 :rule reordering :premises (@p36) :args ((or @t21 @t30 @t40 @t42))) % 0.39/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p17 @p16 @p35) :args (@t42 (@list true false false) (@list @t21 @t20 @t37))) % 0.39/0.56 (assume-push @p45 @t14) % 0.39/0.56 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a tptp.b))) % 0.39/0.56 (step-pop @p46 :rule scope :premises (@p40)) % 0.39/0.56 (step @p41 :rule process_scope :premises (@p46) :args (@t41)) % 0.39/0.56 (step @p43 :rule implies_elim :premises (@p41)) % 0.39/0.56 (step @p44 false :rule chain_m_resolution :premises (@p43 @p38 @p7) :args (false @t28 (@list @t41 @t14))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------