%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN004-4 : 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 : n019.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN004-4 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 02:14:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.a $$unsorted) % 0.39/0.58 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.identity $$unsorted) % 0.39/0.58 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.zero $$unsorted) % 0.39/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t3 () (tptp.divide @t2 @t1)) % 0.39/0.58 (define @t4 () (= @t3 tptp.zero)) % 0.39/0.58 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.39/0.58 (define @t6 () (not @t5)) % 0.39/0.58 (define @t7 () (or @t6 @t4)) % 0.39/0.58 (define @t8 () (@list @t2 @t1)) % 0.39/0.58 (define @t9 () (forall @t8 @t7)) % 0.39/0.58 (define @t10 () (not @t4)) % 0.39/0.58 (define @t11 () (or @t10 @t5)) % 0.39/0.58 (define @t12 () (forall @t8 @t11)) % 0.39/0.58 (define @t13 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t14 () (@list @t2)) % 0.39/0.58 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.39/0.58 (define @t16 () (tptp.divide tptp.zero @t2)) % 0.39/0.58 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 0.39/0.58 (define @t18 () (tptp.divide @t2 @t2)) % 0.39/0.58 (define @t19 () (forall @t14 (= @t18 tptp.zero))) % 0.39/0.58 (define @t20 () (tptp.divide tptp.a tptp.zero)) % 0.39/0.58 (define @t21 () (= @t20 tptp.a)) % 0.39/0.58 (define @t22 () (tptp.less_equal tptp.a @t20)) % 0.39/0.58 (define @t23 () (not @t22)) % 0.39/0.58 (define @t24 () (tptp.less_equal @t20 tptp.a)) % 0.39/0.58 (define @t25 () (not @t24)) % 0.39/0.58 (define @t26 () (or @t25 @t23 @t21)) % 0.39/0.58 (define @t27 () (@list @t20 tptp.a)) % 0.39/0.58 (define @t28 () (= tptp.a @t20)) % 0.39/0.58 (define @t29 () (or @t25 @t23 @t28)) % 0.39/0.58 (define @t30 () (@list false)) % 0.39/0.58 (define @t31 () (@list @t15)) % 0.39/0.58 (define @t32 () (= tptp.zero (tptp.divide tptp.a @t20))) % 0.39/0.58 (define @t33 () (not @t32)) % 0.39/0.58 (define @t34 () (or @t33 @t22)) % 0.39/0.58 (define @t35 () (tptp.divide tptp.zero tptp.a)) % 0.39/0.58 (define @t36 () (tptp.divide tptp.a @t35)) % 0.39/0.58 (define @t37 () (tptp.divide @t20 @t36)) % 0.39/0.58 (define @t38 () (tptp.divide tptp.zero @t36)) % 0.39/0.58 (define @t39 () (tptp.divide tptp.a @t36)) % 0.39/0.58 (define @t40 () (tptp.divide @t39 @t38)) % 0.39/0.58 (define @t41 () (@list @t40 @t37)) % 0.39/0.58 (define @t42 () (= tptp.zero (tptp.divide @t40 @t37))) % 0.39/0.58 (define @t43 () (tptp.less_equal @t40 @t37)) % 0.39/0.58 (define @t44 () (not @t43)) % 0.39/0.58 (define @t45 () (or @t44 @t42)) % 0.39/0.58 (define @t46 () (@list false false)) % 0.39/0.58 (define @t47 () (tptp.divide @t20 tptp.a)) % 0.39/0.58 (define @t48 () (= tptp.zero @t47)) % 0.39/0.58 (define @t49 () (or @t25 @t48)) % 0.39/0.58 (define @t50 () (tptp.less_equal @t37 @t40)) % 0.39/0.58 (define @t51 () (= @t40 @t37)) % 0.39/0.58 (define @t52 () (not @t50)) % 0.39/0.58 (define @t53 () (or @t44 @t52 @t51)) % 0.39/0.58 (define @t54 () (@list false false false)) % 0.39/0.58 (define @t55 () (tptp.less_equal @t39 @t40)) % 0.39/0.58 (define @t56 () (not @t55)) % 0.39/0.58 (define @t57 () (tptp.less_equal @t40 @t39)) % 0.39/0.58 (define @t58 () (not @t57)) % 0.39/0.58 (define @t59 () (or @t58 @t56 (= @t40 @t39))) % 0.39/0.58 (define @t60 () (= @t39 @t40)) % 0.39/0.58 (define @t61 () (or @t58 @t56 @t60)) % 0.39/0.58 (define @t62 () (@list @t39 @t38)) % 0.39/0.58 (define @t63 () (tptp.divide @t36 @t36)) % 0.39/0.58 (define @t64 () (tptp.less_equal @t39 @t38)) % 0.39/0.58 (define @t65 () (= tptp.zero @t40)) % 0.39/0.58 (define @t66 () (not @t65)) % 0.39/0.58 (define @t67 () (or @t66 @t64)) % 0.39/0.58 (define @t68 () (tptp.divide @t47 @t20)) % 0.39/0.58 (define @t69 () (= tptp.zero @t68)) % 0.39/0.58 (define @t70 () (tptp.less_equal @t47 @t20)) % 0.39/0.58 (define @t71 () (not @t70)) % 0.39/0.58 (define @t72 () (or @t71 @t69)) % 0.39/0.58 (define @t73 () (= tptp.zero @t35)) % 0.39/0.58 (define @t74 () (= tptp.zero @t63)) % 0.39/0.58 (define @t75 () (and @t73 @t74 @t51 @t60)) % 0.39/0.58 (assume @p1 @t9) % 0.39/0.58 (assume @p2 @t12) % 0.39/0.58 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.39/0.58 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.39/0.58 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.39/0.58 (assume @p6 @t15) % 0.39/0.58 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.39/0.58 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.39/0.58 (assume @p9 @t17) % 0.39/0.58 (assume @p10 @t19) % 0.39/0.58 (assume @p11 (not @t21)) % 0.39/0.58 (step @p12 :rule refl :args (@t5)) % 0.39/0.58 (step @p13 :rule eq-symm :args (@t3 tptp.zero)) % 0.39/0.58 (step @p14 :rule cong :premises (@p13) :args (@t10)) % 0.39/0.58 (step @p15 :rule nary_cong :premises (@p14 @p12) :args (@t11)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args (@t12)) % 0.39/0.58 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 0.39/0.58 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.a @t20))) % 0.39/0.58 (step @p19 :rule eq-symm :args (@t20 tptp.a)) % 0.39/0.58 (step @p20 :rule refl :args (@t23)) % 0.39/0.58 (step @p21 :rule refl :args (@t25)) % 0.39/0.58 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t26)) % 0.39/0.58 (step @p23 :rule refl :args (@t15)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t15 @t26))) % 0.39/0.58 (assume-push @p134 @t15) % 0.39/0.58 (step @p26 :rule instantiate :premises (@p6) :args (@t27)) % 0.39/0.58 (step-pop @p135 :rule scope :premises (@p26)) % 0.39/0.58 (step @p27 :rule process_scope :premises (@p135) :args (@t26)) % 0.39/0.58 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.39/0.58 (step @p30 :rule implies_elim :premises (@p29)) % 0.39/0.58 (step @p31 :rule chain_m_resolution :premises (@p30 @p6) :args (@t29 @t30 @t31)) % 0.39/0.58 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.zero))) % 0.39/0.58 (step @p33 :rule symm :premises (@p11)) % 0.39/0.58 (step @p34 :rule cnf_or_pos :args (@t29)) % 0.39/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t28 @t25 @t23 (not @t29)))) % 0.39/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32 @p31) :args (@t23 (@list true false false) (@list @t28 @t24 @t29))) % 0.39/0.58 (step @p37 :rule cnf_or_pos :args (@t34)) % 0.39/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t22 @t33 (not @t34)))) % 0.39/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p18) :args (@t33 (@list true false) (@list @t22 @t34))) % 0.39/0.58 (step @p40 :rule eq-symm :args (@t16 tptp.zero)) % 0.39/0.58 (step @p41 :rule cong :premises (@p40) :args (@t17)) % 0.39/0.58 (step @p42 :rule eq_resolve :premises (@p9 @p41)) % 0.39/0.58 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.a))) % 0.39/0.58 (step @p44 :rule eq-symm :args (@t18 tptp.zero)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44) :args (@t19)) % 0.39/0.58 (step @p46 :rule eq_resolve :premises (@p10 @p45)) % 0.39/0.58 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t36))) % 0.39/0.58 (step @p48 :rule instantiate :premises (@p6) :args (@t41)) % 0.39/0.58 (step @p49 :rule instantiate :premises (@p3) :args (@t41)) % 0.39/0.58 (step @p50 :rule true_intro :premises (@p49)) % 0.39/0.58 (step @p51 :rule refl :args (@t40)) % 0.39/0.58 (step @p52 :rule refl :args (@t6)) % 0.39/0.58 (step @p53 :rule nary_cong :premises (@p52 @p13) :args (@t7)) % 0.39/0.58 (step @p54 :rule cong :premises (@p53) :args (@t9)) % 0.39/0.58 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.39/0.58 (step @p56 :rule instantiate :premises (@p55) :args (@t41)) % 0.39/0.58 (step @p57 :rule instantiate :premises (@p4) :args ((@list tptp.a @t36 tptp.zero))) % 0.39/0.58 (step @p58 :rule cnf_or_pos :args (@t45)) % 0.39/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t44 @t42 (not @t45)))) % 0.39/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t42 @t46 (@list @t43 @t45))) % 0.39/0.58 (step @p61 :rule instantiate :premises (@p55) :args (@t27)) % 0.39/0.58 (step @p62 :rule cnf_or_pos :args (@t49)) % 0.39/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t25 @t48 (not @t49)))) % 0.39/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p32 @p61) :args (@t48 @t46 (@list @t24 @t49))) % 0.39/0.58 (step @p65 :rule symm :premises (@p64)) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p60)) % 0.39/0.58 (step @p67 :rule symm :premises (@p47)) % 0.39/0.58 (step @p68 :rule refl :args (@t36)) % 0.39/0.58 (step @p69 :rule refl :args (tptp.a)) % 0.39/0.58 (step @p70 :rule cong :premises (@p69 @p43) :args (@t20)) % 0.39/0.58 (step @p71 :rule cong :premises (@p70 @p68) :args (@t37)) % 0.39/0.58 (step @p72 :rule trans :premises (@p71 @p67 @p64)) % 0.39/0.58 (step @p73 :rule trans :premises (@p72 @p66)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73 @p51) :args (@t50)) % 0.39/0.58 (step @p75 :rule trans :premises (@p74 @p50)) % 0.39/0.58 (step @p76 :rule true_elim :premises (@p75)) % 0.39/0.58 (step @p77 :rule cnf_or_pos :args (@t53)) % 0.39/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t44 @t52 @t51 (not @t53)))) % 0.39/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p57 @p76 @p48) :args (@t51 @t54 (@list @t43 @t50 @t53))) % 0.39/0.58 (step @p80 :rule eq-symm :args (@t40 @t39)) % 0.39/0.58 (step @p81 :rule refl :args (@t56)) % 0.39/0.58 (step @p82 :rule refl :args (@t58)) % 0.39/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80) :args (@t59)) % 0.39/0.58 (step @p84 :rule cong :premises (@p23 @p83) :args ((=> @t15 @t59))) % 0.39/0.58 (assume-push @p136 @t15) % 0.39/0.58 (step @p86 :rule instantiate :premises (@p6) :args ((@list @t40 @t39))) % 0.39/0.58 (step-pop @p137 :rule scope :premises (@p86)) % 0.39/0.58 (step @p87 :rule process_scope :premises (@p137) :args (@t59)) % 0.39/0.58 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.39/0.58 (step @p90 :rule implies_elim :premises (@p89)) % 0.39/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p6) :args (@t61 @t30 @t31)) % 0.39/0.58 (step @p92 :rule instantiate :premises (@p17) :args (@t62)) % 0.39/0.58 (step @p93 :rule symm :premises (@p79)) % 0.39/0.58 (step @p94 :rule symm :premises (@p43)) % 0.39/0.58 (step @p95 :rule cong :premises (@p69 @p94) :args (@t36)) % 0.39/0.58 (step @p96 :rule cong :premises (@p95 @p68) :args (@t63)) % 0.39/0.58 (step @p97 :rule trans :premises (@p47 @p96 @p93)) % 0.39/0.58 (step @p98 :rule cnf_or_pos :args (@t67)) % 0.39/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t64 @t66 (not @t67)))) % 0.39/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p92) :args (@t64 @t46 (@list @t65 @t67))) % 0.39/0.58 (step @p101 :rule true_intro :premises (@p100)) % 0.39/0.58 (step @p102 :rule cong :premises (@p65 @p70) :args (@t68)) % 0.39/0.58 (step @p103 :rule instantiate :premises (@p55) :args ((@list @t47 @t20))) % 0.39/0.58 (step @p104 :rule instantiate :premises (@p3) :args (@t27)) % 0.39/0.58 (step @p105 :rule cnf_or_pos :args (@t72)) % 0.39/0.58 (step @p106 :rule reordering :premises (@p105) :args ((or @t71 @t69 (not @t72)))) % 0.39/0.58 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t69 @t46 (@list @t70 @t72))) % 0.39/0.58 (step @p108 :rule trans :premises (@p79 @p71 @p67 @p107 @p102)) % 0.39/0.58 (step @p109 :rule refl :args (@t39)) % 0.39/0.58 (step @p110 :rule cong :premises (@p109 @p108) :args (@t55)) % 0.39/0.58 (step @p111 :rule trans :premises (@p110 @p101)) % 0.39/0.58 (step @p112 :rule true_elim :premises (@p111)) % 0.39/0.58 (step @p113 :rule instantiate :premises (@p3) :args (@t62)) % 0.39/0.58 (step @p114 :rule cnf_or_pos :args (@t61)) % 0.39/0.58 (step @p115 :rule reordering :premises (@p114) :args ((or @t58 @t56 @t60 (not @t61)))) % 0.39/0.58 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p112 @p91) :args (@t60 @t54 (@list @t57 @t55 @t61))) % 0.39/0.58 (assume-push @p138 @t73) % 0.39/0.58 (assume-push @p139 @t74) % 0.39/0.58 (assume-push @p140 @t51) % 0.39/0.58 (assume-push @p141 @t60) % 0.39/0.58 (step @p121 :rule cong :premises (@p69 @p95) :args (@t39)) % 0.39/0.58 (step @p122 :rule symm :premises (@p116)) % 0.39/0.58 (step @p123 :rule trans :premises (@p47 @p96 @p93 @p122 @p121)) % 0.39/0.58 (step-pop @p142 :rule scope :premises (@p123)) % 0.39/0.58 (step-pop @p143 :rule scope :premises (@p142)) % 0.39/0.58 (step-pop @p144 :rule scope :premises (@p143)) % 0.39/0.58 (step-pop @p145 :rule scope :premises (@p144)) % 0.39/0.58 (step @p124 :rule process_scope :premises (@p145) :args (@t32)) % 0.39/0.58 (step @p129 :rule implies_elim :premises (@p124)) % 0.39/0.58 (step @p130 :rule cnf_and_neg :args (@t75)) % 0.39/0.58 (step @p131 :rule resolution :premises (@p130 @p129) :args (true @t75)) % 0.39/0.58 (step @p132 :rule reordering :premises (@p131) :args ((or @t32 (not @t73) (not @t74) (not @t51) (not @t60)))) % 0.39/0.58 (step @p133 false :rule chain_m_resolution :premises (@p132 @p116 @p79 @p47 @p43 @p39) :args (false (@list false false false false true) (@list @t60 @t51 @t74 @t73 @t32))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------