%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN003-2 : 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 : n027.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 29.24s 29.40s % Output : Proof 29.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN003-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:14:21 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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... % 15.33/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.24/29.40 % SZS status Unsatisfiable % 29.24/29.40 % SZS output start Proof % 29.24/29.41 ( % 29.24/29.41 (declare-sort $$unsorted 0) % 29.24/29.41 (declare-const tptp.x $$unsorted) % 29.24/29.41 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 29.24/29.41 (declare-const tptp.identity $$unsorted) % 29.24/29.41 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 29.24/29.41 (declare-const tptp.zero $$unsorted) % 29.24/29.41 (define @t1 () (@var "Y" $$unsorted)) % 29.24/29.41 (define @t2 () (@var "X" $$unsorted)) % 29.24/29.41 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 29.24/29.41 (define @t4 () (tptp.less_equal @t2 @t1)) % 29.24/29.41 (define @t5 () (not @t4)) % 29.24/29.41 (define @t6 () (@list @t2 @t1)) % 29.24/29.41 (define @t7 () (@var "Z" $$unsorted)) % 29.24/29.41 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 29.24/29.41 (define @t9 () (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2)))) % 29.24/29.41 (define @t10 () (@var "V5" $$unsorted)) % 29.24/29.41 (define @t11 () (@var "V4" $$unsorted)) % 29.24/29.41 (define @t12 () (@var "V1" $$unsorted)) % 29.24/29.41 (define @t13 () (@var "V2" $$unsorted)) % 29.24/29.41 (define @t14 () (@var "V3" $$unsorted)) % 29.24/29.41 (define @t15 () (@list @t2)) % 29.24/29.41 (define @t16 () (@var "W" $$unsorted)) % 29.24/29.41 (define @t17 () (tptp.quotient tptp.x tptp.x tptp.zero)) % 29.24/29.41 (define @t18 () (not @t17)) % 29.24/29.41 (define @t19 () (tptp.divide tptp.x tptp.zero)) % 29.24/29.41 (define @t20 () (tptp.divide tptp.x tptp.x)) % 29.24/29.41 (define @t21 () (tptp.divide @t20 tptp.zero)) % 29.24/29.41 (define @t22 () (@list tptp.zero @t21)) % 29.24/29.41 (define @t23 () (tptp.less_equal tptp.zero @t21)) % 29.24/29.41 (define @t24 () (tptp.quotient tptp.zero @t21 tptp.zero)) % 29.24/29.41 (define @t25 () (not @t24)) % 29.24/29.41 (define @t26 () (or @t25 @t23)) % 29.24/29.41 (define @t27 () (@list false false)) % 29.24/29.41 (define @t28 () (@list @t20 tptp.zero)) % 29.24/29.41 (define @t29 () (tptp.less_equal @t20 tptp.x)) % 29.24/29.41 (define @t30 () (tptp.quotient tptp.x tptp.x @t20)) % 29.24/29.41 (define @t31 () (not @t30)) % 29.24/29.41 (define @t32 () (or @t31 @t29)) % 29.24/29.41 (define @t33 () (tptp.quotient @t20 tptp.x tptp.zero)) % 29.24/29.41 (define @t34 () (not @t29)) % 29.24/29.41 (define @t35 () (or @t34 @t33)) % 29.24/29.41 (define @t36 () (tptp.less_equal tptp.zero @t20)) % 29.24/29.41 (define @t37 () (not @t33)) % 29.24/29.41 (define @t38 () (or @t37 @t36)) % 29.24/29.41 (define @t39 () (= tptp.zero @t20)) % 29.24/29.41 (define @t40 () (not @t39)) % 29.24/29.41 (define @t41 () (= true false)) % 29.24/29.41 (define @t42 () (and @t18 @t39 @t30)) % 29.24/29.41 (define @t43 () (@list true false)) % 29.24/29.41 (define @t44 () (tptp.less_equal @t20 tptp.zero)) % 29.24/29.41 (define @t45 () (not @t44)) % 29.24/29.41 (define @t46 () (not @t36)) % 29.24/29.41 (define @t47 () (or @t46 @t45 @t39)) % 29.24/29.41 (define @t48 () (@list true false false)) % 29.24/29.41 (define @t49 () (tptp.quotient @t20 tptp.zero tptp.zero)) % 29.24/29.41 (define @t50 () (not @t49)) % 29.24/29.41 (define @t51 () (or @t50 @t44)) % 29.24/29.41 (define @t52 () (= tptp.zero @t21)) % 29.24/29.41 (define @t53 () (not @t52)) % 29.24/29.41 (define @t54 () (tptp.quotient @t20 tptp.zero @t21)) % 29.24/29.41 (define @t55 () (not @t54)) % 29.24/29.41 (define @t56 () (and @t50 @t52 @t54)) % 29.24/29.41 (define @t57 () (@list false true)) % 29.24/29.41 (define @t58 () (tptp.less_equal @t21 tptp.zero)) % 29.24/29.41 (define @t59 () (not @t58)) % 29.24/29.41 (define @t60 () (not @t23)) % 29.24/29.41 (define @t61 () (or @t60 @t59 @t52)) % 29.24/29.41 (define @t62 () (tptp.quotient @t19 tptp.x tptp.zero)) % 29.24/29.41 (define @t63 () (not @t62)) % 29.24/29.41 (define @t64 () (tptp.quotient tptp.zero tptp.x tptp.zero)) % 29.24/29.41 (define @t65 () (not @t64)) % 29.24/29.41 (define @t66 () (tptp.quotient tptp.x tptp.zero @t19)) % 29.24/29.41 (define @t67 () (not @t66)) % 29.24/29.41 (define @t68 () (or @t67 @t65 @t31 @t55 @t63 @t58)) % 29.24/29.41 (define @t69 () (tptp.less_equal @t19 tptp.x)) % 29.24/29.41 (define @t70 () (not @t69)) % 29.24/29.41 (define @t71 () (or @t70 @t62)) % 29.24/29.41 (define @t72 () (or @t67 @t69)) % 29.24/29.41 (define @t73 () (not @t72)) % 29.24/29.41 (assume @p1 (forall @t6 (or @t5 @t3))) % 29.24/29.41 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 29.24/29.41 (assume @p3 @t9) % 29.24/29.41 (assume @p4 (forall (@list @t2 @t1 @t12 @t7 @t13 @t14 @t11 @t10) (or (not (tptp.quotient @t2 @t1 @t12)) (not (tptp.quotient @t1 @t7 @t13)) (not (tptp.quotient @t2 @t7 @t14)) (not (tptp.quotient @t14 @t13 @t11)) (not (tptp.quotient @t12 @t7 @t10)) (tptp.less_equal @t11 @t10)))) % 29.24/29.41 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 29.24/29.41 (assume @p6 (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 29.24/29.41 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 29.24/29.41 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 29.24/29.41 (assume @p9 (forall (@list @t2 @t1 @t7 @t16) (or @t8 (not (tptp.quotient @t2 @t1 @t16)) (= @t7 @t16)))) % 29.24/29.41 (assume @p10 (forall @t15 (tptp.quotient @t2 tptp.identity tptp.zero))) % 29.24/29.41 (assume @p11 (forall @t15 (tptp.quotient tptp.zero @t2 tptp.zero))) % 29.24/29.41 (assume @p12 @t18) % 29.24/29.41 (step @p13 :rule instantiate :premises (@p1) :args ((@list @t19 tptp.x))) % 29.24/29.41 (step @p14 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.zero @t19 tptp.x tptp.zero @t20 @t21 tptp.zero))) % 29.24/29.41 (step @p15 :rule instantiate :premises (@p6) :args (@t22)) % 29.24/29.41 (step @p16 :rule instantiate :premises (@p2) :args (@t22)) % 29.24/29.41 (step @p17 :rule instantiate :premises (@p11) :args ((@list @t21))) % 29.24/29.41 (step @p18 :rule cnf_or_pos :args (@t26)) % 29.24/29.41 (step @p19 :rule reordering :premises (@p18) :args ((or @t23 @t25 (not @t26)))) % 29.24/29.41 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16) :args (@t23 @t27 (@list @t24 @t26))) % 29.24/29.41 (step @p21 :rule instantiate :premises (@p2) :args (@t28)) % 29.24/29.41 (step @p22 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t20))) % 29.24/29.41 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.x tptp.zero))) % 29.24/29.41 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.x))) % 29.24/29.41 (step @p25 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.x @t20))) % 29.24/29.41 (step @p26 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.x))) % 29.24/29.41 (step @p27 :rule cnf_or_pos :args (@t32)) % 29.24/29.41 (step @p28 :rule reordering :premises (@p27) :args ((or @t31 @t29 (not @t32)))) % 29.24/29.41 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t29 @t27 (@list @t30 @t32))) % 29.24/29.41 (step @p30 :rule cnf_or_pos :args (@t35)) % 29.24/29.41 (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t33 (not @t35)))) % 29.24/29.41 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p24) :args (@t33 @t27 (@list @t29 @t35))) % 29.24/29.41 (step @p33 :rule cnf_or_pos :args (@t38)) % 29.24/29.41 (step @p34 :rule reordering :premises (@p33) :args ((or @t37 @t36 (not @t38)))) % 29.24/29.41 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p23) :args (@t36 @t27 (@list @t33 @t38))) % 29.24/29.41 (step @p36 :rule refl :args (@t40)) % 29.24/29.41 (step @p37 :rule refl :args (@t31)) % 29.24/29.41 (step @p38 :rule bool-double-not-elim :args (@t17)) % 29.24/29.41 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or (not @t18) @t31 @t40))) % 29.24/29.41 (assume-push @p129 @t18) % 29.24/29.41 (assume-push @p130 @t39) % 29.24/29.41 (assume-push @p131 @t30) % 29.24/29.41 (step @p43 :rule evaluate :args (@t41)) % 29.24/29.41 (step @p44 :rule false_intro :premises (@p12)) % 29.24/29.41 (step @p45 :rule symm :premises (@p130)) % 29.24/29.41 (step @p46 :rule refl :args (tptp.x)) % 29.24/29.41 (step @p47 :rule cong :premises (@p46 @p46 @p45) :args (@t30)) % 29.24/29.41 (step @p48 :rule true_intro :premises (@p26)) % 29.24/29.41 (step @p49 :rule symm :premises (@p48)) % 29.24/29.41 (step @p50 :rule trans :premises (@p49 @p47 @p44)) % 29.24/29.41 (step @p51 false :rule eq_resolve :premises (@p50 @p43)) % 29.24/29.41 (step-pop @p132 :rule scope :premises (@p51)) % 29.24/29.41 (step-pop @p133 :rule scope :premises (@p132)) % 29.24/29.41 (step-pop @p134 :rule scope :premises (@p133)) % 29.24/29.41 (step @p52 :rule process_scope :premises (@p134) :args (false)) % 29.24/29.41 (assume-push @p135 @t18) % 29.24/29.41 (assume-push @p136 @t30) % 29.24/29.41 (assume-push @p137 @t39) % 29.24/29.41 (step @p59 :rule and_intro :premises (@p12 @p137 @p26)) % 29.24/29.41 (step-pop @p138 :rule scope :premises (@p59)) % 29.24/29.41 (step-pop @p139 :rule scope :premises (@p138)) % 29.24/29.41 (step-pop @p140 :rule scope :premises (@p139)) % 29.24/29.41 (step @p60 :rule process_scope :premises (@p140) :args (@t42)) % 29.24/29.41 (step @p64 :rule implies_elim :premises (@p60)) % 29.24/29.41 (step @p65 :rule resolution :premises (@p64 @p52) :args (true @t42)) % 29.24/29.41 (step @p66 :rule not_and :premises (@p65)) % 29.24/29.41 (step @p67 :rule eq_resolve :premises (@p66 @p39)) % 29.24/29.41 (step @p68 :rule chain_m_resolution :premises (@p67 @p12 @p26) :args (@t40 @t43 (@list @t17 @t30))) % 29.24/29.41 (step @p69 :rule cnf_or_pos :args (@t47)) % 29.24/29.41 (step @p70 :rule reordering :premises (@p69) :args ((or @t39 @t46 @t45 (not @t47)))) % 29.24/29.41 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p35 @p22) :args (@t45 @t48 (@list @t39 @t36 @t47))) % 29.24/29.41 (step @p72 :rule cnf_or_pos :args (@t51)) % 29.24/29.41 (step @p73 :rule reordering :premises (@p72) :args ((or @t44 @t50 (not @t51)))) % 29.24/29.41 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p21) :args (@t50 @t43 (@list @t44 @t51))) % 29.24/29.41 (step @p75 :rule instantiate :premises (@p8) :args (@t28)) % 29.24/29.41 (step @p76 :rule bool-double-not-elim :args (@t49)) % 29.24/29.41 (step @p77 :rule refl :args (@t53)) % 29.24/29.41 (step @p78 :rule refl :args (@t55)) % 29.24/29.41 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args ((or @t55 @t53 (not @t50)))) % 29.24/29.41 (assume-push @p141 @t50) % 29.24/29.41 (assume-push @p142 @t52) % 29.24/29.41 (assume-push @p143 @t54) % 29.24/29.41 (step @p43 :rule evaluate :args (@t41)) % 29.24/29.41 (step @p83 :rule false_intro :premises (@p141)) % 29.24/29.41 (step @p84 :rule symm :premises (@p142)) % 29.24/29.41 (step @p85 :rule refl :args (tptp.zero)) % 29.24/29.41 (step @p86 :rule refl :args (@t20)) % 29.24/29.41 (step @p87 :rule cong :premises (@p86 @p85 @p84) :args (@t54)) % 29.24/29.41 (step @p88 :rule true_intro :premises (@p75)) % 29.24/29.41 (step @p89 :rule symm :premises (@p88)) % 29.24/29.41 (step @p90 :rule trans :premises (@p89 @p87 @p83)) % 29.24/29.41 (step @p91 false :rule eq_resolve :premises (@p90 @p43)) % 29.24/29.41 (step-pop @p144 :rule scope :premises (@p91)) % 29.24/29.41 (step-pop @p145 :rule scope :premises (@p144)) % 29.24/29.41 (step-pop @p146 :rule scope :premises (@p145)) % 29.24/29.41 (step @p92 :rule process_scope :premises (@p146) :args (false)) % 29.24/29.41 (assume-push @p147 @t54) % 29.24/29.41 (assume-push @p148 @t52) % 29.24/29.41 (assume-push @p149 @t50) % 29.24/29.41 (step @p99 :rule and_intro :premises (@p149 @p148 @p75)) % 29.24/29.41 (step-pop @p150 :rule scope :premises (@p99)) % 29.24/29.41 (step-pop @p151 :rule scope :premises (@p150)) % 29.24/29.41 (step-pop @p152 :rule scope :premises (@p151)) % 29.24/29.41 (step @p100 :rule process_scope :premises (@p152) :args (@t56)) % 29.24/29.41 (step @p104 :rule implies_elim :premises (@p100)) % 29.24/29.41 (step @p105 :rule resolution :premises (@p104 @p92) :args (true @t56)) % 29.24/29.41 (step @p106 :rule not_and :premises (@p105)) % 29.24/29.41 (step @p107 :rule eq_resolve :premises (@p106 @p79)) % 29.24/29.41 (step @p108 :rule chain_m_resolution :premises (@p107 @p75 @p74) :args (@t53 @t57 (@list @t54 @t49))) % 29.24/29.41 (step @p109 :rule cnf_or_pos :args (@t61)) % 29.24/29.41 (step @p110 :rule reordering :premises (@p109) :args ((or @t52 @t60 @t59 (not @t61)))) % 29.24/29.41 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p20 @p15) :args (@t59 @t48 (@list @t52 @t23 @t61))) % 29.24/29.41 (step @p112 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.zero))) % 29.24/29.41 (step @p113 :rule instantiate :premises (@p11) :args ((@list tptp.x))) % 29.24/29.41 (step @p114 :rule cnf_or_pos :args (@t68)) % 29.24/29.41 (step @p115 :rule reordering :premises (@p114) :args ((or @t65 @t31 @t67 @t55 @t58 @t63 (not @t68)))) % 29.24/29.41 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p26 @p112 @p75 @p111 @p14) :args (@t63 (@list false false false false true false) (@list @t64 @t30 @t66 @t54 @t58 @t68))) % 29.24/29.41 (step @p117 :rule cnf_or_pos :args (@t71)) % 29.24/29.41 (step @p118 :rule reordering :premises (@p117) :args ((or @t62 @t70 (not @t71)))) % 29.24/29.41 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p13) :args (@t70 @t43 (@list @t62 @t71))) % 29.24/29.41 (step @p120 :rule cnf_or_pos :args (@t72)) % 29.24/29.41 (step @p121 :rule reordering :premises (@p120) :args ((or @t67 @t69 @t73))) % 29.24/29.41 (step @p122 :rule chain_m_resolution :premises (@p121 @p112 @p119) :args (@t73 @t57 (@list @t66 @t69))) % 29.24/29.41 (assume-push @p153 @t9) % 29.24/29.41 (step @p124 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.zero @t19))) % 29.24/29.41 (step-pop @p154 :rule scope :premises (@p124)) % 29.24/29.41 (step @p125 :rule process_scope :premises (@p154) :args (@t72)) % 29.24/29.41 (step @p127 :rule implies_elim :premises (@p125)) % 29.24/29.41 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p3) :args (false @t43 (@list @t72 @t9))) % 29.24/29.41 ) % 29.24/29.41 % SZS output end Proof % 29.24/29.41 % cvc5 exiting %------------------------------------------------------------------------------