%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN002-4 : 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 08:22:50 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN002-4 : 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 % 0.17/0.34 % Computer : n002.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 02:14:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.a $$unsorted) % 0.30/0.54 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.identity $$unsorted) % 0.30/0.54 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.54 (declare-const tptp.zero $$unsorted) % 0.30/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t3 () (tptp.divide @t2 @t1)) % 0.30/0.54 (define @t4 () (= @t3 tptp.zero)) % 0.30/0.54 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.30/0.54 (define @t6 () (not @t5)) % 0.30/0.54 (define @t7 () (or @t6 @t4)) % 0.30/0.54 (define @t8 () (@list @t2 @t1)) % 0.30/0.54 (define @t9 () (forall @t8 @t7)) % 0.30/0.54 (define @t10 () (@var "Z" $$unsorted)) % 0.30/0.54 (define @t11 () (@list @t2)) % 0.30/0.54 (define @t12 () (forall @t11 (tptp.less_equal tptp.zero @t2))) % 0.30/0.54 (define @t13 () (tptp.divide tptp.zero tptp.a)) % 0.30/0.54 (define @t14 () (= tptp.zero @t13)) % 0.30/0.54 (define @t15 () (tptp.less_equal tptp.zero tptp.a)) % 0.30/0.54 (define @t16 () (not @t15)) % 0.30/0.54 (define @t17 () (or @t16 @t14)) % 0.30/0.54 (define @t18 () (@list true false)) % 0.30/0.54 (assume @p1 @t9) % 0.30/0.54 (assume @p2 (forall @t8 (or (not @t4) @t5))) % 0.30/0.54 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.30/0.54 (assume @p4 (forall (@list @t2 @t10 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t10) (tptp.divide @t1 @t10)) (tptp.divide @t3 @t10)))) % 0.30/0.54 (assume @p5 @t12) % 0.30/0.54 (assume @p6 (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.30/0.54 (assume @p7 (forall @t11 (tptp.less_equal @t2 tptp.identity))) % 0.30/0.54 (assume @p8 (forall @t11 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.30/0.54 (assume @p9 (not (= @t13 tptp.zero))) % 0.30/0.54 (step @p10 :rule eq-symm :args (@t3 tptp.zero)) % 0.30/0.54 (step @p11 :rule refl :args (@t6)) % 0.30/0.54 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t7)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12) :args (@t9)) % 0.30/0.54 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.30/0.54 (step @p15 :rule instantiate :premises (@p14) :args ((@list tptp.zero tptp.a))) % 0.30/0.54 (step @p16 :rule symm :premises (@p9)) % 0.30/0.54 (step @p17 :rule cnf_or_pos :args (@t17)) % 0.30/0.54 (step @p18 :rule reordering :premises (@p17) :args ((or @t14 @t16 (not @t17)))) % 0.30/0.54 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p15) :args (@t16 @t18 (@list @t14 @t17))) % 0.30/0.54 (assume-push @p26 @t12) % 0.30/0.54 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.a))) % 0.30/0.54 (step-pop @p27 :rule scope :premises (@p21)) % 0.30/0.54 (step @p22 :rule process_scope :premises (@p27) :args (@t15)) % 0.30/0.54 (step @p24 :rule implies_elim :premises (@p22)) % 0.30/0.54 (step @p25 false :rule chain_m_resolution :premises (@p24 @p19 @p5) :args (false @t18 (@list @t15 @t12))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------