%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM016-1 : 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 : n015.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 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM016-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 10:18:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Unsatisfiable % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.a $$unsorted) % 0.29/0.55 (declare-const tptp.prime (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.factorial_plus_one (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.prime_divisor (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.55 (define @t2 () (@list @t1)) % 0.29/0.55 (define @t3 () (@var "Y" $$unsorted)) % 0.29/0.55 (define @t4 () (tptp.less @t3 @t1)) % 0.29/0.55 (define @t5 () (not @t4)) % 0.29/0.55 (define @t6 () (@list @t1 @t3)) % 0.29/0.55 (define @t7 () (@var "Z" $$unsorted)) % 0.29/0.55 (define @t8 () (not (tptp.divides @t1 @t3))) % 0.29/0.55 (define @t9 () (tptp.prime_divisor @t1)) % 0.29/0.55 (define @t10 () (tptp.prime @t1)) % 0.29/0.55 (define @t11 () (tptp.factorial_plus_one tptp.a)) % 0.29/0.55 (define @t12 () (@list @t11)) % 0.29/0.55 (define @t13 () (tptp.less @t11 @t11)) % 0.29/0.55 (define @t14 () (tptp.less tptp.a @t11)) % 0.29/0.55 (define @t15 () (not @t14)) % 0.29/0.55 (define @t16 () (tptp.prime @t11)) % 0.29/0.55 (define @t17 () (not @t16)) % 0.29/0.55 (define @t18 () (or @t17 @t15 @t13)) % 0.29/0.55 (define @t19 () (tptp.prime_divisor @t11)) % 0.29/0.55 (define @t20 () (tptp.prime @t19)) % 0.29/0.55 (define @t21 () (or @t16 @t20)) % 0.29/0.55 (define @t22 () (@list true false)) % 0.29/0.55 (define @t23 () (tptp.divides @t19 @t11)) % 0.29/0.55 (define @t24 () (or @t16 @t23)) % 0.29/0.55 (define @t25 () (tptp.less @t11 @t19)) % 0.29/0.55 (define @t26 () (not @t25)) % 0.29/0.55 (define @t27 () (not @t23)) % 0.29/0.55 (define @t28 () (or @t27 @t26)) % 0.29/0.55 (define @t29 () (@list false false)) % 0.29/0.55 (define @t30 () (tptp.less tptp.a @t19)) % 0.29/0.55 (define @t31 () (or @t27 @t30)) % 0.29/0.55 (define @t32 () (not @t30)) % 0.29/0.55 (define @t33 () (not @t20)) % 0.29/0.55 (define @t34 () (or @t33 @t32 @t25)) % 0.29/0.55 (assume @p1 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.29/0.55 (assume @p2 (forall @t6 (or (not (tptp.less @t1 @t3)) @t5))) % 0.29/0.55 (assume @p3 (forall @t2 (tptp.divides @t1 @t1))) % 0.29/0.55 (assume @p4 (forall (@list @t1 @t3 @t7) (or @t8 (not (tptp.divides @t3 @t7)) (tptp.divides @t1 @t7)))) % 0.29/0.55 (assume @p5 (forall @t6 (or @t8 @t5))) % 0.29/0.55 (assume @p6 (forall @t2 (tptp.less @t1 (tptp.factorial_plus_one @t1)))) % 0.29/0.55 (assume @p7 (forall @t6 (or (not (tptp.divides @t1 (tptp.factorial_plus_one @t3))) @t4))) % 0.29/0.55 (assume @p8 (forall @t2 (or @t10 (tptp.divides @t9 @t1)))) % 0.29/0.55 (assume @p9 (forall @t2 (or @t10 (tptp.prime @t9)))) % 0.29/0.55 (assume @p10 (forall @t2 (or @t10 (tptp.less @t9 @t1)))) % 0.29/0.55 (assume @p11 (tptp.prime tptp.a)) % 0.29/0.55 (assume @p12 (forall @t2 (or (not @t10) (not (tptp.less tptp.a @t1)) (tptp.less @t11 @t1)))) % 0.29/0.55 (step @p13 :rule instantiate :premises (@p9) :args (@t12)) % 0.29/0.55 (step @p14 :rule instantiate :premises (@p12) :args (@t12)) % 0.29/0.55 (step @p15 :rule instantiate :premises (@p1) :args (@t12)) % 0.29/0.55 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.a))) % 0.29/0.55 (step @p17 :rule cnf_or_pos :args (@t18)) % 0.29/0.55 (step @p18 :rule reordering :premises (@p17) :args ((or @t15 @t17 @t13 (not @t18)))) % 0.29/0.55 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p15 @p14) :args (@t17 (@list false true false) (@list @t14 @t13 @t18))) % 0.29/0.55 (step @p20 :rule cnf_or_pos :args (@t21)) % 0.29/0.55 (step @p21 :rule reordering :premises (@p20) :args ((or @t16 @t20 (not @t21)))) % 0.29/0.55 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p13) :args (@t20 @t22 (@list @t16 @t21))) % 0.29/0.55 (step @p23 :rule instantiate :premises (@p12) :args ((@list @t19))) % 0.29/0.55 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t19 @t11))) % 0.29/0.55 (step @p25 :rule instantiate :premises (@p8) :args (@t12)) % 0.29/0.55 (step @p26 :rule cnf_or_pos :args (@t24)) % 0.29/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t16 @t23 (not @t24)))) % 0.29/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p19 @p25) :args (@t23 @t22 (@list @t16 @t24))) % 0.29/0.55 (step @p29 :rule cnf_or_pos :args (@t28)) % 0.29/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t27 @t26 (not @t28)))) % 0.29/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p24) :args (@t26 @t29 (@list @t23 @t28))) % 0.29/0.55 (step @p32 :rule instantiate :premises (@p7) :args ((@list @t19 tptp.a))) % 0.29/0.55 (step @p33 :rule cnf_or_pos :args (@t31)) % 0.29/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or @t27 @t30 (not @t31)))) % 0.29/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p28 @p32) :args (@t30 @t29 (@list @t23 @t31))) % 0.29/0.55 (step @p36 :rule cnf_or_pos :args (@t34)) % 0.29/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t25 @t32 @t33 (not @t34)))) % 0.29/0.55 (step @p38 false :rule chain_m_resolution :premises (@p37 @p35 @p31 @p23 @p22) :args (false (@list false true false false) (@list @t30 @t25 @t34 @t20))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------