%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM015-1 : 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 : n002.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 08:38:21 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM015-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 10:18:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.a $$unsorted) % 0.37/0.57 (declare-const tptp.factor_of (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.n1 $$unsorted) % 0.37/0.57 (declare-const tptp.prime (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.divisor (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t5 () (forall (@list @t1 @t4 @t3) (or (not (tptp.divides @t1 @t4)) (not (tptp.divides @t4 @t3)) (tptp.divides @t1 @t3)))) % 0.37/0.57 (define @t6 () (tptp.divisor @t1)) % 0.37/0.57 (define @t7 () (tptp.prime @t1)) % 0.37/0.57 (define @t8 () (tptp.factor_of @t1)) % 0.37/0.57 (define @t9 () (not (tptp.less @t1 tptp.a))) % 0.37/0.57 (define @t10 () (not (tptp.less tptp.n1 @t1))) % 0.37/0.57 (define @t11 () (tptp.divisor tptp.a)) % 0.37/0.57 (define @t12 () (tptp.factor_of @t11)) % 0.37/0.57 (define @t13 () (@list @t11)) % 0.37/0.57 (define @t14 () (@list tptp.a)) % 0.37/0.57 (define @t15 () (tptp.divides tptp.a tptp.a)) % 0.37/0.57 (define @t16 () (not @t15)) % 0.37/0.57 (define @t17 () (tptp.prime tptp.a)) % 0.37/0.57 (define @t18 () (not @t17)) % 0.37/0.57 (define @t19 () (or @t18 @t16)) % 0.37/0.57 (define @t20 () (@list false false)) % 0.37/0.57 (define @t21 () (tptp.less @t11 tptp.a)) % 0.37/0.57 (define @t22 () (or @t17 @t21)) % 0.37/0.57 (define @t23 () (@list true false)) % 0.37/0.57 (define @t24 () (tptp.less tptp.n1 @t11)) % 0.37/0.57 (define @t25 () (or @t17 @t24)) % 0.37/0.57 (define @t26 () (tptp.prime @t12)) % 0.37/0.57 (define @t27 () (not @t21)) % 0.37/0.57 (define @t28 () (not @t24)) % 0.37/0.57 (define @t29 () (or @t28 @t27 @t26)) % 0.37/0.57 (define @t30 () (@list false false false)) % 0.37/0.57 (define @t31 () (tptp.divides @t12 tptp.a)) % 0.37/0.57 (define @t32 () (not @t31)) % 0.37/0.57 (define @t33 () (not @t26)) % 0.37/0.57 (define @t34 () (or @t33 @t32)) % 0.37/0.57 (define @t35 () (tptp.divides @t12 @t11)) % 0.37/0.57 (define @t36 () (or @t28 @t27 @t35)) % 0.37/0.57 (define @t37 () (tptp.divides @t11 tptp.a)) % 0.37/0.57 (define @t38 () (or @t17 @t37)) % 0.37/0.57 (define @t39 () (not @t37)) % 0.37/0.57 (define @t40 () (not @t35)) % 0.37/0.57 (define @t41 () (or @t40 @t39 @t31)) % 0.37/0.57 (define @t42 () (not @t41)) % 0.37/0.57 (assume @p1 (forall @t2 (tptp.divides @t1 @t1))) % 0.37/0.57 (assume @p2 @t5) % 0.37/0.57 (assume @p3 (forall @t2 (or @t7 (tptp.divides @t6 @t1)))) % 0.37/0.57 (assume @p4 (forall @t2 (or @t7 (tptp.less tptp.n1 @t6)))) % 0.37/0.57 (assume @p5 (forall @t2 (or @t7 (tptp.less @t6 @t1)))) % 0.37/0.57 (assume @p6 (forall @t2 (or @t10 @t9 (tptp.prime @t8)))) % 0.37/0.57 (assume @p7 (forall @t2 (or @t10 @t9 (tptp.divides @t8 @t1)))) % 0.37/0.57 (assume @p8 (tptp.less tptp.n1 tptp.a)) % 0.37/0.57 (assume @p9 (forall @t2 (or (not @t7) (not (tptp.divides @t1 tptp.a))))) % 0.37/0.57 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t12))) % 0.37/0.57 (step @p11 :rule instantiate :premises (@p6) :args (@t13)) % 0.37/0.57 (step @p12 :rule instantiate :premises (@p5) :args (@t14)) % 0.37/0.57 (step @p13 :rule instantiate :premises (@p9) :args (@t14)) % 0.37/0.57 (step @p14 :rule instantiate :premises (@p1) :args (@t14)) % 0.37/0.57 (step @p15 :rule cnf_or_pos :args (@t19)) % 0.37/0.57 (step @p16 :rule reordering :premises (@p15) :args ((or @t18 @t16 (not @t19)))) % 0.37/0.57 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p13) :args (@t18 @t20 (@list @t15 @t19))) % 0.37/0.57 (step @p18 :rule cnf_or_pos :args (@t22)) % 0.37/0.57 (step @p19 :rule reordering :premises (@p18) :args ((or @t17 @t21 (not @t22)))) % 0.37/0.57 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p12) :args (@t21 @t23 (@list @t17 @t22))) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p4) :args (@t14)) % 0.37/0.57 (step @p22 :rule cnf_or_pos :args (@t25)) % 0.37/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t17 @t24 (not @t25)))) % 0.37/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p17 @p21) :args (@t24 @t23 (@list @t17 @t25))) % 0.37/0.57 (step @p25 :rule cnf_or_pos :args (@t29)) % 0.37/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t28 @t27 @t26 (not @t29)))) % 0.37/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p20 @p11) :args (@t26 @t30 (@list @t24 @t21 @t29))) % 0.37/0.57 (step @p28 :rule cnf_or_pos :args (@t34)) % 0.37/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t33 @t32 (not @t34)))) % 0.37/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p10) :args (@t32 @t20 (@list @t26 @t34))) % 0.37/0.57 (step @p31 :rule instantiate :premises (@p7) :args (@t13)) % 0.37/0.57 (step @p32 :rule cnf_or_pos :args (@t36)) % 0.37/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t28 @t27 @t35 (not @t36)))) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p24 @p20 @p31) :args (@t35 @t30 (@list @t24 @t21 @t36))) % 0.37/0.57 (step @p35 :rule instantiate :premises (@p3) :args (@t14)) % 0.37/0.57 (step @p36 :rule cnf_or_pos :args (@t38)) % 0.37/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t17 @t37 (not @t38)))) % 0.37/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p17 @p35) :args (@t37 @t23 (@list @t17 @t38))) % 0.37/0.57 (step @p39 :rule cnf_or_pos :args (@t41)) % 0.37/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t39 @t40 @t31 @t42))) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p34 @p30) :args (@t42 (@list false false true) (@list @t37 @t35 @t31))) % 0.37/0.57 (assume-push @p48 @t5) % 0.37/0.57 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t12 @t11 tptp.a))) % 0.37/0.57 (step-pop @p49 :rule scope :premises (@p43)) % 0.37/0.57 (step @p44 :rule process_scope :premises (@p49) :args (@t41)) % 0.37/0.57 (step @p46 :rule implies_elim :premises (@p44)) % 0.37/0.57 (step @p47 false :rule chain_m_resolution :premises (@p46 @p41 @p2) :args (false @t23 (@list @t41 @t5))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------