%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM014-1 : 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 : n022.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 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM014-1 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n022.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 : Tue Jun 2 10:18:53 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.c $$unsorted) % 0.37/0.56 (declare-const tptp.b $$unsorted) % 0.37/0.56 (declare-const tptp.a $$unsorted) % 0.37/0.56 (declare-const tptp.prime (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.square (-> $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (not (tptp.product @t1 @t3 @t2))) % 0.37/0.56 (define @t5 () (@list @t1 @t3 @t2)) % 0.37/0.56 (define @t6 () (tptp.divides @t1 @t2)) % 0.37/0.56 (define @t7 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t8 () (forall (@list @t1 @t3 @t2 @t7) (or (not (tptp.prime @t1)) (not (tptp.product @t3 @t2 @t7)) (not (tptp.divides @t1 @t7)) (tptp.divides @t1 @t3) @t6))) % 0.37/0.56 (define @t9 () (tptp.prime tptp.a)) % 0.37/0.56 (define @t10 () (tptp.square tptp.b)) % 0.37/0.56 (define @t11 () (tptp.square tptp.c)) % 0.37/0.56 (define @t12 () (tptp.product tptp.a @t11 @t10)) % 0.37/0.56 (define @t13 () (tptp.divides tptp.a tptp.b)) % 0.37/0.56 (define @t14 () (tptp.divides tptp.a @t10)) % 0.37/0.56 (define @t15 () (not @t12)) % 0.37/0.56 (define @t16 () (or @t15 @t14)) % 0.37/0.56 (define @t17 () (not @t14)) % 0.37/0.56 (define @t18 () (tptp.product tptp.b tptp.b @t10)) % 0.37/0.56 (define @t19 () (not @t18)) % 0.37/0.56 (define @t20 () (not @t9)) % 0.37/0.56 (define @t21 () (or @t20 @t19 @t17 @t13 @t13)) % 0.37/0.56 (define @t22 () (not @t21)) % 0.37/0.56 (assume @p1 (forall (@list @t1) (tptp.product @t1 @t1 (tptp.square @t1)))) % 0.37/0.56 (assume @p2 (forall @t5 (or @t4 (tptp.product @t3 @t1 @t2)))) % 0.37/0.56 (assume @p3 (forall @t5 (or @t4 @t6))) % 0.37/0.56 (assume @p4 @t8) % 0.37/0.56 (assume @p5 @t9) % 0.37/0.56 (assume @p6 @t12) % 0.37/0.56 (assume @p7 (not @t13)) % 0.37/0.56 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.b))) % 0.37/0.56 (step @p9 :rule instantiate :premises (@p3) :args ((@list tptp.a @t11 @t10))) % 0.37/0.56 (step @p10 :rule cnf_or_pos :args (@t16)) % 0.37/0.56 (step @p11 :rule reordering :premises (@p10) :args ((or @t15 @t14 (not @t16)))) % 0.37/0.56 (step @p12 :rule chain_m_resolution :premises (@p11 @p6 @p9) :args (@t14 (@list false false) (@list @t12 @t16))) % 0.37/0.56 (step @p13 :rule cnf_or_pos :args (@t21)) % 0.37/0.56 (step @p14 :rule factoring :premises (@p13)) % 0.37/0.56 (step @p15 :rule reordering :premises (@p14) :args ((or @t13 @t20 @t17 @t19 @t22))) % 0.37/0.56 (step @p16 :rule chain_m_resolution :premises (@p15 @p7 @p5 @p12 @p8) :args (@t22 (@list true false false false) (@list @t13 @t9 @t14 @t18))) % 0.37/0.56 (assume-push @p23 @t8) % 0.37/0.56 (step @p18 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.b tptp.b @t10))) % 0.37/0.56 (step-pop @p24 :rule scope :premises (@p18)) % 0.37/0.56 (step @p19 :rule process_scope :premises (@p24) :args (@t21)) % 0.37/0.56 (step @p21 :rule implies_elim :premises (@p19)) % 0.37/0.56 (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p4) :args (false (@list true false) (@list @t21 @t8))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------