%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN004-5 : 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 : n029.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 08:22:51 AM UTC 2026 % Result : Unsatisfiable 15.43s 15.96s % Output : Proof 15.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN004-5 : 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 % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:14:32 EDT 2026 % 0.15/0.34 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.37/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 15.43/15.96 % SZS status Unsatisfiable % 15.43/15.96 % SZS output start Proof % 15.43/15.96 ( % 15.43/15.96 (declare-sort $$unsorted 0) % 15.43/15.96 (declare-const tptp.a $$unsorted) % 15.43/15.96 (declare-const tptp.identity $$unsorted) % 15.43/15.96 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.43/15.96 (declare-const tptp.zero $$unsorted) % 15.43/15.96 (define @t1 () (@var "X" $$unsorted)) % 15.43/15.96 (define @t2 () (@var "Y" $$unsorted)) % 15.43/15.96 (define @t3 () (tptp.divide @t1 @t2)) % 15.43/15.96 (define @t4 () (tptp.divide @t3 @t1)) % 15.43/15.96 (define @t5 () (@list @t1 @t2)) % 15.43/15.96 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 15.43/15.96 (define @t7 () (@var "Z" $$unsorted)) % 15.43/15.96 (define @t8 () (tptp.divide (tptp.divide (tptp.divide @t1 @t7) (tptp.divide @t2 @t7)) (tptp.divide @t3 @t7))) % 15.43/15.96 (define @t9 () (forall (@list @t1 @t7 @t2) (= @t8 tptp.zero))) % 15.43/15.96 (define @t10 () (tptp.divide tptp.zero @t1)) % 15.43/15.96 (define @t11 () (@list @t1)) % 15.43/15.96 (define @t12 () (forall @t11 (= @t10 tptp.zero))) % 15.43/15.96 (define @t13 () (= @t1 @t2)) % 15.43/15.96 (define @t14 () (tptp.divide @t2 @t1)) % 15.43/15.96 (define @t15 () (not (= @t14 tptp.zero))) % 15.43/15.96 (define @t16 () (not (= @t3 tptp.zero))) % 15.43/15.96 (define @t17 () (or @t16 @t15 @t13)) % 15.43/15.96 (define @t18 () (forall @t5 @t17)) % 15.43/15.96 (define @t19 () (tptp.divide @t1 @t1)) % 15.43/15.96 (define @t20 () (forall @t11 (= @t19 tptp.zero))) % 15.43/15.96 (define @t21 () (tptp.divide tptp.a tptp.zero)) % 15.43/15.96 (define @t22 () (@list @t21)) % 15.43/15.96 (define @t23 () (@list tptp.a @t21 tptp.zero)) % 15.43/15.96 (define @t24 () (tptp.divide tptp.a @t21)) % 15.43/15.96 (define @t25 () (tptp.divide @t24 tptp.zero)) % 15.43/15.96 (define @t26 () (= tptp.a @t21)) % 15.43/15.96 (define @t27 () (= tptp.zero (tptp.divide @t21 tptp.a))) % 15.43/15.96 (define @t28 () (not @t27)) % 15.43/15.96 (define @t29 () (= tptp.zero @t24)) % 15.43/15.96 (define @t30 () (not @t29)) % 15.43/15.96 (define @t31 () (or @t30 @t28 @t26)) % 15.43/15.96 (define @t32 () (@list true false false)) % 15.43/15.96 (define @t33 () (= tptp.zero @t25)) % 15.43/15.96 (define @t34 () (not @t33)) % 15.43/15.96 (define @t35 () (= tptp.zero (tptp.divide tptp.zero @t24))) % 15.43/15.96 (define @t36 () (not @t35)) % 15.43/15.96 (define @t37 () (or @t36 @t34 @t29)) % 15.43/15.96 (define @t38 () (= tptp.zero (tptp.divide @t25 tptp.zero))) % 15.43/15.96 (define @t39 () (not @t38)) % 15.43/15.96 (define @t40 () (= tptp.zero (tptp.divide tptp.zero @t25))) % 15.43/15.96 (define @t41 () (not @t40)) % 15.43/15.96 (define @t42 () (or @t41 @t39 @t33)) % 15.43/15.96 (define @t43 () (tptp.divide @t21 @t21)) % 15.43/15.96 (define @t44 () (tptp.divide tptp.zero @t21)) % 15.43/15.96 (define @t45 () (tptp.divide @t24 @t44)) % 15.43/15.96 (define @t46 () (tptp.divide @t45 @t43)) % 15.43/15.96 (define @t47 () (= tptp.zero @t46)) % 15.43/15.96 (define @t48 () (not @t47)) % 15.43/15.96 (define @t49 () (= tptp.zero @t43)) % 15.43/15.96 (define @t50 () (not @t49)) % 15.43/15.96 (define @t51 () (= tptp.zero @t44)) % 15.43/15.96 (define @t52 () (not @t51)) % 15.43/15.96 (define @t53 () (and @t38 @t39)) % 15.43/15.96 (assume @p1 @t6) % 15.43/15.96 (assume @p2 @t9) % 15.43/15.96 (assume @p3 @t12) % 15.43/15.96 (assume @p4 @t18) % 15.43/15.96 (assume @p5 (forall @t11 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 15.43/15.96 (assume @p6 @t20) % 15.43/15.96 (assume @p7 (not (= @t21 tptp.a))) % 15.43/15.96 (step @p8 :rule eq-symm :args (@t10 tptp.zero)) % 15.43/15.96 (step @p9 :rule cong :premises (@p8) :args (@t12)) % 15.43/15.96 (step @p10 :rule eq_resolve :premises (@p3 @p9)) % 15.43/15.96 (step @p11 :rule instantiate :premises (@p10) :args (@t22)) % 15.43/15.96 (step @p12 :rule eq-symm :args (@t19 tptp.zero)) % 15.43/15.96 (step @p13 :rule cong :premises (@p12) :args (@t20)) % 15.43/15.96 (step @p14 :rule eq_resolve :premises (@p6 @p13)) % 15.43/15.96 (step @p15 :rule instantiate :premises (@p14) :args (@t22)) % 15.43/15.96 (step @p16 :rule eq-symm :args (@t8 tptp.zero)) % 15.43/15.96 (step @p17 :rule cong :premises (@p16) :args (@t9)) % 15.43/15.96 (step @p18 :rule eq_resolve :premises (@p2 @p17)) % 15.43/15.96 (step @p19 :rule instantiate :premises (@p18) :args (@t23)) % 15.43/15.96 (step @p20 :rule refl :args (@t13)) % 15.43/15.96 (step @p21 :rule eq-symm :args (@t14 tptp.zero)) % 15.43/15.96 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 15.43/15.96 (step @p23 :rule eq-symm :args (@t3 tptp.zero)) % 15.43/15.96 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 15.43/15.96 (step @p25 :rule nary_cong :premises (@p24 @p22 @p20) :args (@t17)) % 15.43/15.96 (step @p26 :rule cong :premises (@p25) :args (@t18)) % 15.43/15.96 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 15.43/15.96 (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.zero @t25))) % 15.43/15.96 (step @p29 :rule instantiate :premises (@p10) :args ((@list @t25))) % 15.43/15.96 (step @p30 :rule instantiate :premises (@p27) :args ((@list tptp.zero @t24))) % 15.43/15.96 (step @p31 :rule instantiate :premises (@p10) :args ((@list @t24))) % 15.43/15.96 (step @p32 :rule instantiate :premises (@p27) :args ((@list tptp.a @t21))) % 15.43/15.96 (step @p33 :rule eq-symm :args (@t4 tptp.zero)) % 15.43/15.96 (step @p34 :rule cong :premises (@p33) :args (@t6)) % 15.43/15.96 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 15.43/15.96 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.a tptp.zero))) % 15.43/15.96 (step @p37 :rule symm :premises (@p7)) % 15.43/15.96 (step @p38 :rule cnf_or_pos :args (@t31)) % 15.43/15.96 (step @p39 :rule reordering :premises (@p38) :args ((or @t26 @t28 @t30 (not @t31)))) % 15.43/15.96 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36 @p32) :args (@t30 @t32 (@list @t26 @t27 @t31))) % 15.43/15.96 (step @p41 :rule cnf_or_pos :args (@t37)) % 15.43/15.96 (step @p42 :rule reordering :premises (@p41) :args ((or @t29 @t36 @t34 (not @t37)))) % 15.43/15.96 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p31 @p30) :args (@t34 @t32 (@list @t29 @t35 @t37))) % 15.43/15.96 (step @p44 :rule cnf_or_pos :args (@t42)) % 15.43/15.96 (step @p45 :rule reordering :premises (@p44) :args ((or @t33 @t41 @t39 (not @t42)))) % 15.43/15.96 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p29 @p28) :args (@t39 @t32 (@list @t33 @t40 @t42))) % 15.43/15.96 (step @p47 :rule bool-double-not-elim :args (@t38)) % 15.43/15.96 (step @p48 :rule refl :args (@t48)) % 15.43/15.96 (step @p49 :rule refl :args (@t50)) % 15.43/15.96 (step @p50 :rule refl :args (@t52)) % 15.43/15.96 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48 @p47) :args ((or @t52 @t50 @t48 (not @t39)))) % 15.43/15.96 (assume-push @p86 @t38) % 15.43/15.96 (assume-push @p87 @t39) % 15.43/15.96 (step @p54 :rule evaluate :args ((= true false))) % 15.43/15.96 (step @p55 :rule false_intro :premises (@p46)) % 15.43/15.96 (step @p56 :rule symm :premises (@p15)) % 15.43/15.96 (step @p57 :rule symm :premises (@p11)) % 15.43/15.96 (step @p58 :rule refl :args (@t24)) % 15.43/15.96 (step @p59 :rule cong :premises (@p58 @p57) :args (@t45)) % 15.43/15.96 (step @p60 :rule cong :premises (@p59 @p56) :args (@t46)) % 15.43/15.96 (step @p61 :rule instantiate :premises (@p18) :args (@t23)) % 15.43/15.96 (step @p62 :rule trans :premises (@p61 @p60)) % 15.43/15.96 (step @p63 :rule true_intro :premises (@p62)) % 15.43/15.96 (step @p64 :rule symm :premises (@p63)) % 15.43/15.96 (step @p65 :rule trans :premises (@p64 @p55)) % 15.43/15.96 (step @p66 false :rule eq_resolve :premises (@p65 @p54)) % 15.43/15.96 (step-pop @p88 :rule scope :premises (@p66)) % 15.43/15.96 (step-pop @p89 :rule scope :premises (@p88)) % 15.43/15.96 (step @p67 :rule process_scope :premises (@p89) :args (false)) % 15.43/15.96 (assume-push @p90 @t51) % 15.43/15.96 (assume-push @p91 @t49) % 15.43/15.96 (assume-push @p92 @t47) % 15.43/15.96 (assume-push @p93 @t39) % 15.43/15.96 (step @p56 :rule symm :premises (@p15)) % 15.43/15.96 (step @p57 :rule symm :premises (@p11)) % 15.43/15.96 (step @p58 :rule refl :args (@t24)) % 15.43/15.96 (step @p59 :rule cong :premises (@p58 @p57) :args (@t45)) % 15.43/15.96 (step @p60 :rule cong :premises (@p59 @p56) :args (@t46)) % 15.43/15.96 (step @p74 :rule trans :premises (@p19 @p60)) % 15.43/15.96 (step @p75 :rule and_intro :premises (@p74 @p46)) % 15.43/15.96 (step-pop @p94 :rule scope :premises (@p75)) % 15.43/15.96 (step-pop @p95 :rule scope :premises (@p94)) % 15.43/15.96 (step-pop @p96 :rule scope :premises (@p95)) % 15.43/15.96 (step-pop @p97 :rule scope :premises (@p96)) % 15.43/15.96 (step @p76 :rule process_scope :premises (@p97) :args (@t53)) % 15.43/15.96 (step @p81 :rule implies_elim :premises (@p76)) % 15.43/15.96 (step @p82 :rule resolution :premises (@p81 @p67) :args (true @t53)) % 15.43/15.96 (step @p83 :rule not_and :premises (@p82)) % 15.43/15.96 (step @p84 :rule eq_resolve :premises (@p83 @p51)) % 15.43/15.96 (step @p85 false :rule chain_m_resolution :premises (@p84 @p46 @p19 @p15 @p11) :args (false (@list true false false false) (@list @t38 @t47 @t49 @t51))) % 15.43/15.96 ) % 15.43/15.96 % SZS output end Proof % 15.43/15.96 % cvc5 exiting %------------------------------------------------------------------------------