%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN007-4 : 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 : n006.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 08:22:53 AM UTC 2026 % Result : Unsatisfiable 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN007-4 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 02:15:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----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... % 0.72/1.00 % SZS status Unsatisfiable % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (declare-const tptp.c $$unsorted) % 0.72/1.00 (declare-const tptp.a $$unsorted) % 0.72/1.00 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.b $$unsorted) % 0.72/1.00 (declare-const tptp.identity $$unsorted) % 0.72/1.00 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.zero $$unsorted) % 0.72/1.00 (define @t1 () (@var "Y" $$unsorted)) % 0.72/1.00 (define @t2 () (@var "X" $$unsorted)) % 0.72/1.00 (define @t3 () (tptp.divide @t2 @t1)) % 0.72/1.00 (define @t4 () (= @t3 tptp.zero)) % 0.72/1.00 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.72/1.00 (define @t6 () (not @t5)) % 0.72/1.00 (define @t7 () (@list @t2 @t1)) % 0.72/1.00 (define @t8 () (not @t4)) % 0.72/1.00 (define @t9 () (or @t8 @t5)) % 0.72/1.00 (define @t10 () (forall @t7 @t9)) % 0.72/1.00 (define @t11 () (@var "Z" $$unsorted)) % 0.72/1.00 (define @t12 () (tptp.divide @t2 @t11)) % 0.72/1.00 (define @t13 () (@list @t2)) % 0.72/1.00 (define @t14 () (tptp.divide @t2 @t2)) % 0.72/1.00 (define @t15 () (forall @t13 (= @t14 tptp.zero))) % 0.72/1.00 (define @t16 () (@list @t2 @t1 @t11)) % 0.72/1.00 (define @t17 () (forall @t16 (or @t6 (not (tptp.less_equal @t1 @t11)) (tptp.less_equal @t2 @t11)))) % 0.72/1.00 (define @t18 () (tptp.less_equal tptp.a tptp.b)) % 0.72/1.00 (define @t19 () (tptp.divide tptp.c tptp.a)) % 0.72/1.00 (define @t20 () (tptp.less_equal (tptp.divide tptp.c tptp.b) @t19)) % 0.72/1.00 (define @t21 () (tptp.less_equal @t19 @t19)) % 0.72/1.00 (define @t22 () (= tptp.zero (tptp.divide @t19 @t19))) % 0.72/1.00 (define @t23 () (not @t22)) % 0.72/1.00 (define @t24 () (or @t23 @t21)) % 0.72/1.00 (define @t25 () (@list false false)) % 0.72/1.00 (define @t26 () (tptp.divide tptp.c @t19)) % 0.72/1.00 (define @t27 () (tptp.less_equal @t26 tptp.a)) % 0.72/1.00 (define @t28 () (not @t21)) % 0.72/1.00 (define @t29 () (or @t28 @t27)) % 0.72/1.00 (define @t30 () (tptp.less_equal @t26 tptp.b)) % 0.72/1.00 (define @t31 () (not @t30)) % 0.72/1.00 (define @t32 () (or @t31 @t20)) % 0.72/1.00 (define @t33 () (@list true false)) % 0.72/1.00 (define @t34 () (not @t18)) % 0.72/1.00 (define @t35 () (not @t27)) % 0.72/1.00 (define @t36 () (or @t35 @t34 @t30)) % 0.72/1.00 (define @t37 () (not @t36)) % 0.72/1.00 (assume @p1 (forall @t7 (or @t6 @t4))) % 0.72/1.00 (assume @p2 @t10) % 0.72/1.00 (assume @p3 (forall @t7 (tptp.less_equal @t3 @t2))) % 0.72/1.00 (assume @p4 (forall (@list @t2 @t11 @t1) (tptp.less_equal (tptp.divide @t12 (tptp.divide @t1 @t11)) (tptp.divide @t3 @t11)))) % 0.72/1.00 (assume @p5 (forall @t13 (tptp.less_equal tptp.zero @t2))) % 0.72/1.00 (assume @p6 (forall @t7 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.72/1.00 (assume @p7 (forall @t13 (tptp.less_equal @t2 tptp.identity))) % 0.72/1.00 (assume @p8 (forall @t13 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.72/1.00 (assume @p9 (forall @t13 (= (tptp.divide tptp.zero @t2) tptp.zero))) % 0.72/1.00 (assume @p10 @t15) % 0.72/1.00 (assume @p11 (= (tptp.divide tptp.a tptp.zero) tptp.a)) % 0.72/1.00 (assume @p12 @t17) % 0.72/1.00 (assume @p13 (forall @t16 (or (not (tptp.less_equal @t3 @t11)) (tptp.less_equal @t12 @t1)))) % 0.72/1.00 (assume @p14 @t18) % 0.72/1.00 (assume @p15 (not @t20)) % 0.72/1.00 (step @p16 :rule instantiate :premises (@p13) :args ((@list tptp.c tptp.a @t19))) % 0.72/1.00 (step @p17 :rule refl :args (@t5)) % 0.72/1.00 (step @p18 :rule eq-symm :args (@t3 tptp.zero)) % 0.72/1.00 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 0.72/1.00 (step @p20 :rule nary_cong :premises (@p19 @p17) :args (@t9)) % 0.72/1.00 (step @p21 :rule cong :premises (@p20) :args (@t10)) % 0.72/1.00 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.72/1.00 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t19 @t19))) % 0.72/1.00 (step @p24 :rule eq-symm :args (@t14 tptp.zero)) % 0.72/1.00 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 0.72/1.00 (step @p26 :rule eq_resolve :premises (@p10 @p25)) % 0.72/1.00 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t19))) % 0.72/1.00 (step @p28 :rule cnf_or_pos :args (@t24)) % 0.72/1.00 (step @p29 :rule reordering :premises (@p28) :args ((or @t21 @t23 (not @t24)))) % 0.72/1.00 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23) :args (@t21 @t25 (@list @t22 @t24))) % 0.72/1.00 (step @p31 :rule cnf_or_pos :args (@t29)) % 0.72/1.00 (step @p32 :rule reordering :premises (@p31) :args ((or @t28 @t27 (not @t29)))) % 0.72/1.00 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p16) :args (@t27 @t25 (@list @t21 @t29))) % 0.72/1.00 (step @p34 :rule instantiate :premises (@p13) :args ((@list tptp.c @t19 tptp.b))) % 0.72/1.00 (step @p35 :rule cnf_or_pos :args (@t32)) % 0.72/1.00 (step @p36 :rule reordering :premises (@p35) :args ((or @t20 @t31 (not @t32)))) % 0.72/1.00 (step @p37 :rule chain_m_resolution :premises (@p36 @p15 @p34) :args (@t31 @t33 (@list @t20 @t32))) % 0.72/1.00 (step @p38 :rule cnf_or_pos :args (@t36)) % 0.72/1.00 (step @p39 :rule reordering :premises (@p38) :args ((or @t34 @t30 @t35 @t37))) % 0.72/1.00 (step @p40 :rule chain_m_resolution :premises (@p39 @p14 @p37 @p33) :args (@t37 (@list false true false) (@list @t18 @t30 @t27))) % 0.72/1.00 (assume-push @p47 @t17) % 0.72/1.00 (step @p42 :rule instantiate :premises (@p12) :args ((@list @t26 tptp.a tptp.b))) % 0.72/1.00 (step-pop @p48 :rule scope :premises (@p42)) % 0.72/1.00 (step @p43 :rule process_scope :premises (@p48) :args (@t36)) % 0.72/1.00 (step @p45 :rule implies_elim :premises (@p43)) % 0.72/1.00 (step @p46 false :rule chain_m_resolution :premises (@p45 @p40 @p12) :args (false @t33 (@list @t36 @t17))) % 0.72/1.00 ) % 0.72/1.00 % SZS output end Proof % 0.72/1.00 % cvc5 exiting %------------------------------------------------------------------------------