%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN008-5 : 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 : n013.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 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN008-5 : 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 : n013.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 02:15:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Unsatisfiable % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.c $$unsorted) % 0.29/0.54 (declare-const tptp.a $$unsorted) % 0.29/0.54 (declare-const tptp.b $$unsorted) % 0.29/0.54 (declare-const tptp.identity $$unsorted) % 0.29/0.54 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.54 (declare-const tptp.zero $$unsorted) % 0.29/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t2 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t3 () (tptp.divide @t1 @t2)) % 0.29/0.54 (define @t4 () (tptp.divide @t3 @t1)) % 0.29/0.54 (define @t5 () (@list @t1 @t2)) % 0.29/0.54 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 0.29/0.54 (define @t7 () (@var "Z" $$unsorted)) % 0.29/0.54 (define @t8 () (tptp.divide (tptp.divide (tptp.divide @t1 @t7) (tptp.divide @t2 @t7)) (tptp.divide @t3 @t7))) % 0.29/0.54 (define @t9 () (forall (@list @t1 @t7 @t2) (= @t8 tptp.zero))) % 0.29/0.54 (define @t10 () (tptp.divide tptp.zero @t1)) % 0.29/0.54 (define @t11 () (@list @t1)) % 0.29/0.54 (define @t12 () (forall @t11 (= @t10 tptp.zero))) % 0.29/0.54 (define @t13 () (= @t1 @t2)) % 0.29/0.54 (define @t14 () (tptp.divide @t2 @t1)) % 0.29/0.54 (define @t15 () (not (= @t14 tptp.zero))) % 0.29/0.54 (define @t16 () (not (= @t3 tptp.zero))) % 0.29/0.54 (define @t17 () (or @t16 @t15 @t13)) % 0.29/0.54 (define @t18 () (forall @t5 @t17)) % 0.29/0.54 (define @t19 () (tptp.divide tptp.a tptp.b)) % 0.29/0.54 (define @t20 () (tptp.divide tptp.b tptp.c)) % 0.29/0.54 (define @t21 () (tptp.divide tptp.a tptp.c)) % 0.29/0.54 (define @t22 () (tptp.divide @t21 @t20)) % 0.29/0.54 (define @t23 () (@list tptp.c)) % 0.29/0.54 (define @t24 () (tptp.divide @t19 tptp.c)) % 0.29/0.54 (define @t25 () (tptp.divide tptp.zero tptp.c)) % 0.29/0.54 (define @t26 () (tptp.divide @t22 @t24)) % 0.29/0.54 (define @t27 () (= @t22 @t24)) % 0.29/0.54 (define @t28 () (= tptp.zero (tptp.divide @t24 @t22))) % 0.29/0.54 (define @t29 () (not @t28)) % 0.29/0.54 (define @t30 () (= tptp.zero @t26)) % 0.29/0.54 (define @t31 () (not @t30)) % 0.29/0.54 (define @t32 () (or @t31 @t29 @t27)) % 0.29/0.54 (define @t33 () (not @t27)) % 0.29/0.54 (define @t34 () (= tptp.zero @t25)) % 0.29/0.54 (define @t35 () (not @t34)) % 0.29/0.54 (define @t36 () (= tptp.zero @t22)) % 0.29/0.54 (define @t37 () (= tptp.zero @t19)) % 0.29/0.54 (define @t38 () (not @t37)) % 0.29/0.54 (define @t39 () (not @t36)) % 0.29/0.54 (define @t40 () (= tptp.zero @t24)) % 0.29/0.54 (define @t41 () (and @t37 @t40 @t27 @t39)) % 0.29/0.54 (assume @p1 @t6) % 0.29/0.54 (assume @p2 @t9) % 0.29/0.54 (assume @p3 @t12) % 0.29/0.54 (assume @p4 @t18) % 0.29/0.54 (assume @p5 (forall @t11 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 0.29/0.54 (assume @p6 (= @t19 tptp.zero)) % 0.29/0.54 (assume @p7 (not (= @t22 tptp.zero))) % 0.29/0.54 (step @p8 :rule symm :premises (@p6)) % 0.29/0.54 (step @p9 :rule symm :premises (@p7)) % 0.29/0.54 (step @p10 :rule eq-symm :args (@t10 tptp.zero)) % 0.29/0.54 (step @p11 :rule cong :premises (@p10) :args (@t12)) % 0.29/0.54 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.29/0.54 (step @p13 :rule instantiate :premises (@p12) :args (@t23)) % 0.29/0.54 (step @p14 :rule refl :args (@t13)) % 0.29/0.54 (step @p15 :rule eq-symm :args (@t14 tptp.zero)) % 0.29/0.54 (step @p16 :rule cong :premises (@p15) :args (@t15)) % 0.29/0.54 (step @p17 :rule eq-symm :args (@t3 tptp.zero)) % 0.29/0.54 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.29/0.54 (step @p19 :rule nary_cong :premises (@p18 @p16 @p14) :args (@t17)) % 0.29/0.54 (step @p20 :rule cong :premises (@p19) :args (@t18)) % 0.29/0.54 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 0.29/0.54 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t22 @t24))) % 0.29/0.54 (step @p23 :rule refl :args (@t22)) % 0.29/0.54 (step @p24 :rule refl :args (tptp.c)) % 0.29/0.54 (step @p25 :rule cong :premises (@p8 @p24) :args (@t25)) % 0.29/0.54 (step @p26 :rule trans :premises (@p6 @p13 @p25)) % 0.29/0.54 (step @p27 :rule eq-symm :args (@t8 tptp.zero)) % 0.29/0.54 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 0.29/0.54 (step @p29 :rule eq_resolve :premises (@p2 @p28)) % 0.29/0.54 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.a tptp.c tptp.b))) % 0.29/0.54 (step @p31 :rule symm :premises (@p30)) % 0.29/0.54 (step @p32 :rule trans :premises (@p31 @p8)) % 0.29/0.54 (step @p33 :rule trans :premises (@p32 @p26)) % 0.29/0.54 (step @p34 :rule cong :premises (@p33 @p23) :args ((tptp.divide @t26 @t22))) % 0.29/0.54 (step @p35 :rule symm :premises (@p32)) % 0.29/0.54 (step @p36 :rule eq-symm :args (@t4 tptp.zero)) % 0.29/0.54 (step @p37 :rule cong :premises (@p36) :args (@t6)) % 0.29/0.54 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.29/0.54 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t21 @t20))) % 0.29/0.54 (step @p40 :rule symm :premises (@p39)) % 0.29/0.54 (step @p41 :rule trans :premises (@p40 @p8)) % 0.29/0.54 (step @p42 :rule trans :premises (@p41 @p35)) % 0.29/0.54 (step @p43 :rule cong :premises (@p42 @p23) :args ((tptp.divide (tptp.divide @t22 @t21) @t22))) % 0.29/0.54 (step @p44 :rule instantiate :premises (@p38) :args ((@list @t22 @t21))) % 0.29/0.54 (step @p45 :rule trans :premises (@p44 @p43 @p34)) % 0.29/0.54 (step @p46 :rule cnf_or_pos :args (@t32)) % 0.29/0.54 (step @p47 :rule reordering :premises (@p46) :args ((or @t31 @t29 @t27 (not @t32)))) % 0.29/0.54 (step @p48 :rule chain_m_resolution :premises (@p47 @p30 @p45 @p22) :args (@t27 (@list false false false) (@list @t30 @t28 @t32))) % 0.29/0.54 (step @p49 :rule refl :args (@t33)) % 0.29/0.54 (step @p50 :rule refl :args (@t35)) % 0.29/0.54 (step @p51 :rule bool-double-not-elim :args (@t36)) % 0.29/0.54 (step @p52 :rule refl :args (@t38)) % 0.29/0.54 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49) :args ((or @t38 (not @t39) @t35 @t33))) % 0.29/0.54 (assume-push @p93 @t37) % 0.29/0.54 (assume-push @p94 @t40) % 0.29/0.54 (assume-push @p95 @t27) % 0.29/0.54 (assume-push @p96 @t39) % 0.29/0.54 (step @p58 :rule evaluate :args ((= false true))) % 0.29/0.54 (step @p59 :rule cong :premises (@p8 @p24) :args (@t25)) % 0.29/0.54 (step @p60 :rule instantiate :premises (@p12) :args (@t23)) % 0.29/0.54 (step @p61 :rule trans :premises (@p60 @p59)) % 0.29/0.54 (step @p62 :rule symm :premises (@p61)) % 0.29/0.54 (step @p63 :rule trans :premises (@p48 @p62 @p8)) % 0.29/0.54 (step @p64 :rule symm :premises (@p63)) % 0.29/0.54 (step @p65 :rule trans :premises (@p8 @p64)) % 0.29/0.54 (step @p66 :rule true_intro :premises (@p65)) % 0.29/0.54 (step @p67 :rule false_intro :premises (@p9)) % 0.29/0.54 (step @p68 :rule symm :premises (@p67)) % 0.29/0.54 (step @p69 :rule trans :premises (@p68 @p66)) % 0.29/0.54 (step @p70 false :rule eq_resolve :premises (@p69 @p58)) % 0.29/0.54 (step-pop @p97 :rule scope :premises (@p70)) % 0.29/0.54 (step-pop @p98 :rule scope :premises (@p97)) % 0.29/0.54 (step-pop @p99 :rule scope :premises (@p98)) % 0.29/0.54 (step-pop @p100 :rule scope :premises (@p99)) % 0.29/0.54 (step @p71 :rule process_scope :premises (@p100) :args (false)) % 0.29/0.54 (assume-push @p101 @t37) % 0.29/0.54 (assume-push @p102 @t39) % 0.29/0.54 (assume-push @p103 @t34) % 0.29/0.54 (assume-push @p104 @t27) % 0.29/0.54 (step @p80 :rule trans :premises (@p13 @p25)) % 0.29/0.54 (step @p81 :rule and_intro :premises (@p8 @p80 @p48 @p9)) % 0.29/0.54 (step-pop @p105 :rule scope :premises (@p81)) % 0.29/0.54 (step-pop @p106 :rule scope :premises (@p105)) % 0.29/0.54 (step-pop @p107 :rule scope :premises (@p106)) % 0.29/0.54 (step-pop @p108 :rule scope :premises (@p107)) % 0.29/0.54 (step @p82 :rule process_scope :premises (@p108) :args (@t41)) % 0.29/0.54 (step @p87 :rule implies_elim :premises (@p82)) % 0.29/0.54 (step @p88 :rule resolution :premises (@p87 @p71) :args (true @t41)) % 0.29/0.54 (step @p89 :rule not_and :premises (@p88)) % 0.29/0.54 (step @p90 :rule eq_resolve :premises (@p89 @p53)) % 0.29/0.54 (step @p91 :rule reordering :premises (@p90) :args ((or @t36 @t38 @t35 @t33))) % 0.29/0.54 (step @p92 false :rule chain_m_resolution :premises (@p91 @p48 @p13 @p9 @p8) :args (false (@list false false true false) (@list @t27 @t34 @t36 @t37))) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------