%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM016-2 : 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 : 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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM016-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 10:18:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.prime (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.prime_divisor (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.factorial_plus_one (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@list @t1)) % 0.38/0.57 (define @t3 () (forall @t2 (not (tptp.less @t1 @t1)))) % 0.38/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.less @t4 @t1)) % 0.38/0.57 (define @t6 () (@list @t1 @t4)) % 0.38/0.57 (define @t7 () (tptp.prime_divisor @t1)) % 0.38/0.57 (define @t8 () (tptp.prime @t1)) % 0.38/0.57 (define @t9 () (tptp.factorial_plus_one tptp.a)) % 0.38/0.57 (define @t10 () (@list @t9)) % 0.38/0.57 (define @t11 () (tptp.prime_divisor @t9)) % 0.38/0.57 (define @t12 () (tptp.divides @t11 @t9)) % 0.38/0.57 (define @t13 () (tptp.prime @t9)) % 0.38/0.57 (define @t14 () (or @t13 @t12)) % 0.38/0.57 (define @t15 () (tptp.less @t11 @t9)) % 0.38/0.57 (define @t16 () (or @t13 @t15)) % 0.38/0.57 (define @t17 () (tptp.prime @t11)) % 0.38/0.57 (define @t18 () (or @t13 @t17)) % 0.38/0.57 (define @t19 () (tptp.less tptp.a @t11)) % 0.38/0.57 (define @t20 () (not @t12)) % 0.38/0.57 (define @t21 () (or @t20 @t19)) % 0.38/0.57 (define @t22 () (tptp.less @t9 @t11)) % 0.38/0.57 (define @t23 () (not @t22)) % 0.38/0.57 (define @t24 () (not @t15)) % 0.38/0.57 (define @t25 () (or @t24 @t23)) % 0.38/0.57 (define @t26 () (not @t19)) % 0.38/0.57 (define @t27 () (not @t17)) % 0.38/0.57 (define @t28 () (or @t27 @t26 @t22)) % 0.38/0.57 (define @t29 () (tptp.less @t9 @t9)) % 0.38/0.57 (define @t30 () (tptp.less tptp.a @t9)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (not @t13)) % 0.38/0.57 (define @t33 () (or @t32 @t31 @t29)) % 0.38/0.57 (assume @p1 @t3) % 0.38/0.57 (assume @p2 (forall @t6 (or (not (tptp.less @t1 @t4)) (not @t5)))) % 0.38/0.57 (assume @p3 (forall @t2 (tptp.less @t1 (tptp.factorial_plus_one @t1)))) % 0.38/0.57 (assume @p4 (forall @t6 (or (not (tptp.divides @t1 (tptp.factorial_plus_one @t4))) @t5))) % 0.38/0.57 (assume @p5 (forall @t2 (or @t8 (tptp.divides @t7 @t1)))) % 0.38/0.57 (assume @p6 (forall @t2 (or @t8 (tptp.prime @t7)))) % 0.38/0.57 (assume @p7 (forall @t2 (or @t8 (tptp.less @t7 @t1)))) % 0.38/0.57 (assume @p8 (forall @t2 (or (not @t8) (not (tptp.less tptp.a @t1)) (tptp.less @t9 @t1)))) % 0.38/0.57 (step @p9 :rule instantiate :premises (@p8) :args (@t10)) % 0.38/0.57 (step @p10 :rule instantiate :premises (@p5) :args (@t10)) % 0.38/0.57 (step @p11 :rule cnf_or_pos :args (@t14)) % 0.38/0.57 (step @p12 :rule reordering :premises (@p11) :args ((or @t13 @t12 (not @t14)))) % 0.38/0.57 (step @p13 :rule instantiate :premises (@p7) :args (@t10)) % 0.38/0.57 (step @p14 :rule cnf_or_pos :args (@t16)) % 0.38/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t13 @t15 (not @t16)))) % 0.38/0.57 (step @p16 :rule instantiate :premises (@p6) :args (@t10)) % 0.38/0.57 (step @p17 :rule cnf_or_pos :args (@t18)) % 0.38/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t13 @t17 (not @t18)))) % 0.38/0.57 (step @p19 :rule instantiate :premises (@p4) :args ((@list @t11 tptp.a))) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t21)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t20 @t19 (not @t21)))) % 0.38/0.57 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t11 @t9))) % 0.38/0.57 (step @p23 :rule cnf_or_pos :args (@t25)) % 0.38/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t24 @t23 (not @t25)))) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t11))) % 0.38/0.57 (step @p26 :rule cnf_or_pos :args (@t28)) % 0.38/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t22 @t26 @t27 (not @t28)))) % 0.38/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24 @p22 @p21 @p19 @p18 @p16 @p15 @p13 @p12 @p10) :args (@t13 (@list false true false false false false false false false false false) (@list @t28 @t22 @t25 @t19 @t21 @t17 @t18 @t15 @t16 @t12 @t14))) % 0.38/0.57 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.a))) % 0.38/0.57 (step @p30 :rule cnf_or_pos :args (@t33)) % 0.38/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t31 @t32 @t29 (not @t33)))) % 0.38/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p28 @p9) :args (@t29 (@list false false false) (@list @t30 @t13 @t33))) % 0.38/0.57 (assume-push @p39 @t3) % 0.38/0.57 (step @p34 :rule instantiate :premises (@p1) :args (@t10)) % 0.38/0.57 (step-pop @p40 :rule scope :premises (@p34)) % 0.38/0.57 (step @p35 :rule process_scope :premises (@p40) :args ((not @t29))) % 0.38/0.57 (step @p37 :rule implies_elim :premises (@p35)) % 0.38/0.57 (step @p38 false :rule chain_m_resolution :premises (@p37 @p32 @p1) :args (false (@list false false) (@list @t29 @t3))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------