%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN012-1 : 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 : n009.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 08:22:55 AM UTC 2026 % Result : Unsatisfiable 31.24s 31.46s % Output : Proof 31.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : HEN012-1 : 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 % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 02:16:44 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.52 --- Run --no-e-matching --full-saturate-quant at 6... % 21.35/21.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.34/27.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 31.24/31.46 % SZS status Unsatisfiable % 31.24/31.46 % SZS output start Proof % 31.24/31.46 ( % 31.24/31.46 (declare-sort $$unsorted 0) % 31.24/31.46 (declare-const tptp.x $$unsorted) % 31.24/31.46 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 31.24/31.46 (declare-const tptp.identity $$unsorted) % 31.24/31.46 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 31.24/31.46 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 31.24/31.46 (declare-const tptp.zero $$unsorted) % 31.24/31.46 (define @t1 () (@var "Y" $$unsorted)) % 31.24/31.46 (define @t2 () (@var "X" $$unsorted)) % 31.24/31.46 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 31.24/31.46 (define @t4 () (tptp.less_equal @t2 @t1)) % 31.24/31.46 (define @t5 () (not @t4)) % 31.24/31.46 (define @t6 () (@list @t2 @t1)) % 31.24/31.46 (define @t7 () (@var "Z" $$unsorted)) % 31.24/31.46 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 31.24/31.46 (define @t9 () (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2)))) % 31.24/31.46 (define @t10 () (@var "V5" $$unsorted)) % 31.24/31.46 (define @t11 () (@var "V4" $$unsorted)) % 31.24/31.46 (define @t12 () (@var "V1" $$unsorted)) % 31.24/31.46 (define @t13 () (@var "V2" $$unsorted)) % 31.24/31.46 (define @t14 () (@var "V3" $$unsorted)) % 31.24/31.46 (define @t15 () (@list @t2)) % 31.24/31.46 (define @t16 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 31.24/31.46 (define @t17 () (@var "W" $$unsorted)) % 31.24/31.46 (define @t18 () (tptp.less_equal tptp.x tptp.x)) % 31.24/31.46 (define @t19 () (tptp.divide tptp.x tptp.zero)) % 31.24/31.46 (define @t20 () (tptp.divide tptp.x tptp.x)) % 31.24/31.46 (define @t21 () (tptp.divide @t20 tptp.zero)) % 31.24/31.46 (define @t22 () (tptp.less_equal tptp.zero @t21)) % 31.24/31.46 (define @t23 () (not @t22)) % 31.24/31.46 (define @t24 () (tptp.less_equal @t21 tptp.zero)) % 31.24/31.46 (define @t25 () (not @t24)) % 31.24/31.46 (define @t26 () (or @t25 @t23 (= @t21 tptp.zero))) % 31.24/31.46 (define @t27 () (= tptp.zero @t21)) % 31.24/31.46 (define @t28 () (or @t25 @t23 @t27)) % 31.24/31.46 (define @t29 () (@list @t20 tptp.zero)) % 31.24/31.46 (define @t30 () (@list tptp.x tptp.x)) % 31.24/31.46 (define @t31 () (tptp.less_equal @t20 tptp.x)) % 31.24/31.46 (define @t32 () (tptp.quotient tptp.x tptp.x @t20)) % 31.24/31.46 (define @t33 () (not @t32)) % 31.24/31.46 (define @t34 () (or @t33 @t31)) % 31.24/31.46 (define @t35 () (@list false false)) % 31.24/31.46 (define @t36 () (tptp.quotient @t20 tptp.x tptp.zero)) % 31.24/31.46 (define @t37 () (not @t31)) % 31.24/31.46 (define @t38 () (or @t37 @t36)) % 31.24/31.46 (define @t39 () (tptp.less_equal tptp.zero @t20)) % 31.24/31.46 (define @t40 () (not @t36)) % 31.24/31.46 (define @t41 () (or @t40 @t39)) % 31.24/31.46 (define @t42 () (tptp.quotient tptp.x tptp.x tptp.zero)) % 31.24/31.46 (define @t43 () (not @t42)) % 31.24/31.46 (define @t44 () (or @t43 @t18)) % 31.24/31.46 (define @t45 () (@list true false)) % 31.24/31.46 (define @t46 () (= tptp.zero @t20)) % 31.24/31.46 (define @t47 () (not @t46)) % 31.24/31.46 (define @t48 () (= true false)) % 31.24/31.46 (define @t49 () (and @t43 @t46 @t32)) % 31.24/31.46 (define @t50 () (tptp.less_equal @t20 tptp.zero)) % 31.24/31.46 (define @t51 () (not @t50)) % 31.24/31.46 (define @t52 () (not @t39)) % 31.24/31.46 (define @t53 () (or @t52 @t51 @t46)) % 31.24/31.46 (define @t54 () (@list true false false)) % 31.24/31.46 (define @t55 () (tptp.quotient @t20 tptp.zero tptp.zero)) % 31.24/31.46 (define @t56 () (not @t55)) % 31.24/31.46 (define @t57 () (or @t56 @t50)) % 31.24/31.46 (define @t58 () (not @t27)) % 31.24/31.46 (define @t59 () (tptp.quotient @t20 tptp.zero @t21)) % 31.24/31.46 (define @t60 () (not @t59)) % 31.24/31.46 (define @t61 () (and @t56 @t27 @t59)) % 31.24/31.46 (define @t62 () (@list false true)) % 31.24/31.46 (define @t63 () (tptp.quotient tptp.zero tptp.x tptp.zero)) % 31.24/31.46 (define @t64 () (tptp.less_equal tptp.zero tptp.x)) % 31.24/31.46 (define @t65 () (not @t64)) % 31.24/31.46 (define @t66 () (or @t65 @t63)) % 31.24/31.46 (define @t67 () (tptp.quotient @t19 tptp.x tptp.zero)) % 31.24/31.46 (define @t68 () (not @t67)) % 31.24/31.46 (define @t69 () (not @t63)) % 31.24/31.46 (define @t70 () (tptp.quotient tptp.x tptp.zero @t19)) % 31.24/31.46 (define @t71 () (not @t70)) % 31.24/31.46 (define @t72 () (or @t71 @t69 @t33 @t60 @t68 @t24)) % 31.24/31.46 (define @t73 () (tptp.less_equal @t19 tptp.x)) % 31.24/31.46 (define @t74 () (not @t73)) % 31.24/31.46 (define @t75 () (or @t74 @t67)) % 31.24/31.46 (define @t76 () (or @t71 @t73)) % 31.24/31.46 (define @t77 () (not @t76)) % 31.24/31.46 (assume @p1 (forall @t6 (or @t5 @t3))) % 31.24/31.46 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 31.24/31.46 (assume @p3 @t9) % 31.24/31.46 (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)))) % 31.24/31.46 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 31.24/31.46 (assume @p6 @t16) % 31.24/31.46 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 31.24/31.46 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 31.24/31.46 (assume @p9 (forall (@list @t2 @t1 @t7 @t17) (or @t8 (not (tptp.quotient @t2 @t1 @t17)) (= @t7 @t17)))) % 31.24/31.46 (assume @p10 (not @t18)) % 31.24/31.46 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t19 tptp.x))) % 31.24/31.46 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.zero @t19 tptp.x tptp.zero @t20 @t21 tptp.zero))) % 31.24/31.46 (step @p13 :rule eq-symm :args (@t21 tptp.zero)) % 31.24/31.46 (step @p14 :rule refl :args (@t23)) % 31.24/31.46 (step @p15 :rule refl :args (@t25)) % 31.24/31.46 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t26)) % 31.24/31.46 (step @p17 :rule refl :args (@t16)) % 31.24/31.46 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t16 @t26))) % 31.24/31.46 (assume-push @p143 @t16) % 31.24/31.46 (step @p20 :rule instantiate :premises (@p6) :args ((@list @t21 tptp.zero))) % 31.24/31.46 (step-pop @p144 :rule scope :premises (@p20)) % 31.24/31.46 (step @p21 :rule process_scope :premises (@p144) :args (@t26)) % 31.24/31.46 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 31.24/31.46 (step @p24 :rule implies_elim :premises (@p23)) % 31.24/31.46 (step @p25 :rule chain_m_resolution :premises (@p24 @p6) :args (@t28 (@list false) (@list @t16))) % 31.24/31.46 (step @p26 :rule instantiate :premises (@p5) :args ((@list @t21))) % 31.24/31.46 (step @p27 :rule instantiate :premises (@p2) :args (@t29)) % 31.24/31.46 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t20))) % 31.24/31.46 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.x tptp.zero))) % 31.24/31.46 (step @p30 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.x))) % 31.24/31.46 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.x @t20))) % 31.24/31.46 (step @p32 :rule instantiate :premises (@p8) :args (@t30)) % 31.24/31.46 (step @p33 :rule cnf_or_pos :args (@t34)) % 31.24/31.46 (step @p34 :rule reordering :premises (@p33) :args ((or @t33 @t31 (not @t34)))) % 31.24/31.46 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31) :args (@t31 @t35 (@list @t32 @t34))) % 31.24/31.46 (step @p36 :rule cnf_or_pos :args (@t38)) % 31.24/31.46 (step @p37 :rule reordering :premises (@p36) :args ((or @t37 @t36 (not @t38)))) % 31.24/31.46 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p30) :args (@t36 @t35 (@list @t31 @t38))) % 31.24/31.46 (step @p39 :rule cnf_or_pos :args (@t41)) % 31.24/31.46 (step @p40 :rule reordering :premises (@p39) :args ((or @t40 @t39 (not @t41)))) % 31.24/31.46 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p29) :args (@t39 @t35 (@list @t36 @t41))) % 31.24/31.46 (step @p42 :rule instantiate :premises (@p2) :args (@t30)) % 31.24/31.46 (step @p43 :rule cnf_or_pos :args (@t44)) % 31.24/31.46 (step @p44 :rule reordering :premises (@p43) :args ((or @t18 @t43 (not @t44)))) % 31.24/31.46 (step @p45 :rule chain_m_resolution :premises (@p44 @p10 @p42) :args (@t43 @t45 (@list @t18 @t44))) % 31.24/31.46 (step @p46 :rule refl :args (@t47)) % 31.24/31.46 (step @p47 :rule refl :args (@t33)) % 31.24/31.46 (step @p48 :rule bool-double-not-elim :args (@t42)) % 31.24/31.46 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args ((or (not @t43) @t33 @t47))) % 31.24/31.46 (assume-push @p145 @t43) % 31.24/31.46 (assume-push @p146 @t46) % 31.24/31.46 (assume-push @p147 @t32) % 31.24/31.46 (step @p53 :rule evaluate :args (@t48)) % 31.24/31.46 (step @p54 :rule false_intro :premises (@p45)) % 31.24/31.46 (step @p55 :rule symm :premises (@p146)) % 31.24/31.46 (step @p56 :rule refl :args (tptp.x)) % 31.24/31.46 (step @p57 :rule cong :premises (@p56 @p56 @p55) :args (@t32)) % 31.24/31.46 (step @p58 :rule true_intro :premises (@p32)) % 31.24/31.46 (step @p59 :rule symm :premises (@p58)) % 31.24/31.46 (step @p60 :rule trans :premises (@p59 @p57 @p54)) % 31.24/31.46 (step @p61 false :rule eq_resolve :premises (@p60 @p53)) % 31.24/31.46 (step-pop @p148 :rule scope :premises (@p61)) % 31.24/31.46 (step-pop @p149 :rule scope :premises (@p148)) % 31.24/31.46 (step-pop @p150 :rule scope :premises (@p149)) % 31.24/31.46 (step @p62 :rule process_scope :premises (@p150) :args (false)) % 31.24/31.46 (assume-push @p151 @t43) % 31.24/31.46 (assume-push @p152 @t32) % 31.24/31.46 (assume-push @p153 @t46) % 31.24/31.46 (step @p69 :rule and_intro :premises (@p45 @p153 @p32)) % 31.24/31.46 (step-pop @p154 :rule scope :premises (@p69)) % 31.24/31.46 (step-pop @p155 :rule scope :premises (@p154)) % 31.24/31.46 (step-pop @p156 :rule scope :premises (@p155)) % 31.24/31.46 (step @p70 :rule process_scope :premises (@p156) :args (@t49)) % 31.24/31.46 (step @p74 :rule implies_elim :premises (@p70)) % 31.24/31.46 (step @p75 :rule resolution :premises (@p74 @p62) :args (true @t49)) % 31.24/31.46 (step @p76 :rule not_and :premises (@p75)) % 31.24/31.46 (step @p77 :rule eq_resolve :premises (@p76 @p49)) % 31.24/31.46 (step @p78 :rule chain_m_resolution :premises (@p77 @p45 @p32) :args (@t47 @t45 (@list @t42 @t32))) % 31.24/31.46 (step @p79 :rule cnf_or_pos :args (@t53)) % 31.24/31.46 (step @p80 :rule reordering :premises (@p79) :args ((or @t46 @t52 @t51 (not @t53)))) % 31.24/31.46 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p41 @p28) :args (@t51 @t54 (@list @t46 @t39 @t53))) % 31.24/31.46 (step @p82 :rule cnf_or_pos :args (@t57)) % 31.24/31.46 (step @p83 :rule reordering :premises (@p82) :args ((or @t56 @t50 (not @t57)))) % 31.24/31.46 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p27) :args (@t56 @t45 (@list @t50 @t57))) % 31.24/31.46 (step @p85 :rule instantiate :premises (@p8) :args (@t29)) % 31.24/31.46 (step @p86 :rule bool-double-not-elim :args (@t55)) % 31.24/31.46 (step @p87 :rule refl :args (@t58)) % 31.24/31.46 (step @p88 :rule refl :args (@t60)) % 31.24/31.46 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or @t60 @t58 (not @t56)))) % 31.24/31.46 (assume-push @p157 @t56) % 31.24/31.46 (assume-push @p158 @t27) % 31.24/31.46 (assume-push @p159 @t59) % 31.24/31.46 (step @p53 :rule evaluate :args (@t48)) % 31.24/31.46 (step @p93 :rule false_intro :premises (@p157)) % 31.24/31.46 (step @p94 :rule symm :premises (@p158)) % 31.24/31.46 (step @p95 :rule refl :args (tptp.zero)) % 31.24/31.46 (step @p96 :rule refl :args (@t20)) % 31.24/31.46 (step @p97 :rule cong :premises (@p96 @p95 @p94) :args (@t59)) % 31.24/31.46 (step @p98 :rule true_intro :premises (@p85)) % 31.24/31.46 (step @p99 :rule symm :premises (@p98)) % 31.24/31.46 (step @p100 :rule trans :premises (@p99 @p97 @p93)) % 31.24/31.46 (step @p101 false :rule eq_resolve :premises (@p100 @p53)) % 31.24/31.46 (step-pop @p160 :rule scope :premises (@p101)) % 31.24/31.46 (step-pop @p161 :rule scope :premises (@p160)) % 31.24/31.46 (step-pop @p162 :rule scope :premises (@p161)) % 31.24/31.46 (step @p102 :rule process_scope :premises (@p162) :args (false)) % 31.24/31.46 (assume-push @p163 @t59) % 31.24/31.46 (assume-push @p164 @t27) % 31.24/31.46 (assume-push @p165 @t56) % 31.24/31.46 (step @p109 :rule and_intro :premises (@p165 @p164 @p85)) % 31.24/31.46 (step-pop @p166 :rule scope :premises (@p109)) % 31.24/31.46 (step-pop @p167 :rule scope :premises (@p166)) % 31.24/31.46 (step-pop @p168 :rule scope :premises (@p167)) % 31.24/31.46 (step @p110 :rule process_scope :premises (@p168) :args (@t61)) % 31.24/31.46 (step @p114 :rule implies_elim :premises (@p110)) % 31.24/31.46 (step @p115 :rule resolution :premises (@p114 @p102) :args (true @t61)) % 31.24/31.46 (step @p116 :rule not_and :premises (@p115)) % 31.24/31.46 (step @p117 :rule eq_resolve :premises (@p116 @p89)) % 31.24/31.46 (step @p118 :rule chain_m_resolution :premises (@p117 @p85 @p84) :args (@t58 @t62 (@list @t59 @t55))) % 31.24/31.46 (step @p119 :rule cnf_or_pos :args (@t28)) % 31.24/31.46 (step @p120 :rule reordering :premises (@p119) :args ((or @t27 @t25 @t23 (not @t28)))) % 31.24/31.46 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p26 @p25) :args (@t25 @t54 (@list @t27 @t22 @t28))) % 31.24/31.46 (step @p122 :rule instantiate :premises (@p8) :args ((@list tptp.x tptp.zero))) % 31.24/31.46 (step @p123 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.x))) % 31.24/31.46 (step @p124 :rule instantiate :premises (@p5) :args ((@list tptp.x))) % 31.24/31.46 (step @p125 :rule cnf_or_pos :args (@t66)) % 31.24/31.46 (step @p126 :rule reordering :premises (@p125) :args ((or @t65 @t63 (not @t66)))) % 31.24/31.46 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123) :args (@t63 @t35 (@list @t64 @t66))) % 31.24/31.46 (step @p128 :rule cnf_or_pos :args (@t72)) % 31.24/31.46 (step @p129 :rule reordering :premises (@p128) :args ((or @t69 @t33 @t71 @t60 @t68 @t24 (not @t72)))) % 31.24/31.46 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p32 @p122 @p85 @p121 @p12) :args (@t68 (@list false false false false true false) (@list @t63 @t32 @t70 @t59 @t24 @t72))) % 31.24/31.46 (step @p131 :rule cnf_or_pos :args (@t75)) % 31.24/31.46 (step @p132 :rule reordering :premises (@p131) :args ((or @t67 @t74 (not @t75)))) % 31.24/31.46 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p11) :args (@t74 @t45 (@list @t67 @t75))) % 31.24/31.46 (step @p134 :rule cnf_or_pos :args (@t76)) % 31.24/31.46 (step @p135 :rule reordering :premises (@p134) :args ((or @t71 @t73 @t77))) % 31.24/31.46 (step @p136 :rule chain_m_resolution :premises (@p135 @p122 @p133) :args (@t77 @t62 (@list @t70 @t73))) % 31.24/31.46 (assume-push @p169 @t9) % 31.24/31.46 (step @p138 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.zero @t19))) % 31.24/31.46 (step-pop @p170 :rule scope :premises (@p138)) % 31.24/31.46 (step @p139 :rule process_scope :premises (@p170) :args (@t76)) % 31.24/31.46 (step @p141 :rule implies_elim :premises (@p139)) % 31.24/31.46 (step @p142 false :rule chain_m_resolution :premises (@p141 @p136 @p3) :args (false @t45 (@list @t76 @t9))) % 31.24/31.46 ) % 31.24/31.48 % SZS output end Proof % 31.24/31.48 % cvc5 exiting %------------------------------------------------------------------------------