%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN009-6 : 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 : n026.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 08:22:54 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.85s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN009-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 02:16:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.85 % SZS status Unsatisfiable % 0.63/0.85 % SZS output start Proof % 0.63/0.86 ( % 0.63/0.86 (declare-sort $$unsorted 0) % 0.63/0.86 (declare-const tptp.d $$unsorted) % 0.63/0.86 (declare-const tptp.c $$unsorted) % 0.63/0.86 (declare-const tptp.b $$unsorted) % 0.63/0.86 (declare-const tptp.a $$unsorted) % 0.63/0.86 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.63/0.86 (declare-const tptp.identity $$unsorted) % 0.63/0.86 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.86 (declare-const tptp.zero $$unsorted) % 0.63/0.86 (define @t1 () (@var "Y" $$unsorted)) % 0.63/0.86 (define @t2 () (@var "X" $$unsorted)) % 0.63/0.86 (define @t3 () (tptp.divide @t2 @t1)) % 0.63/0.86 (define @t4 () (= @t3 tptp.zero)) % 0.63/0.86 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.63/0.86 (define @t6 () (not @t5)) % 0.63/0.86 (define @t7 () (or @t6 @t4)) % 0.63/0.86 (define @t8 () (@list @t2 @t1)) % 0.63/0.86 (define @t9 () (forall @t8 @t7)) % 0.63/0.86 (define @t10 () (not @t4)) % 0.63/0.86 (define @t11 () (or @t10 @t5)) % 0.63/0.86 (define @t12 () (forall @t8 @t11)) % 0.63/0.86 (define @t13 () (@var "Z" $$unsorted)) % 0.63/0.86 (define @t14 () (tptp.divide @t1 @t13)) % 0.63/0.86 (define @t15 () (tptp.divide @t2 @t13)) % 0.63/0.86 (define @t16 () (@list @t2)) % 0.63/0.86 (define @t17 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.63/0.86 (define @t18 () (tptp.divide @t2 tptp.identity)) % 0.63/0.86 (define @t19 () (forall @t16 (= @t18 tptp.zero))) % 0.63/0.86 (define @t20 () (tptp.divide tptp.zero @t2)) % 0.63/0.86 (define @t21 () (forall @t16 (= @t20 tptp.zero))) % 0.63/0.86 (define @t22 () (tptp.divide @t2 @t2)) % 0.63/0.86 (define @t23 () (forall @t16 (= @t22 tptp.zero))) % 0.63/0.86 (define @t24 () (@list @t2 @t1 @t13)) % 0.63/0.86 (define @t25 () (tptp.divide tptp.identity tptp.a)) % 0.63/0.86 (define @t26 () (tptp.divide tptp.identity @t25)) % 0.63/0.86 (define @t27 () (tptp.divide tptp.identity @t26)) % 0.63/0.86 (define @t28 () (= @t25 @t27)) % 0.63/0.86 (define @t29 () (tptp.less_equal tptp.identity tptp.identity)) % 0.63/0.86 (define @t30 () (tptp.divide tptp.identity tptp.identity)) % 0.63/0.86 (define @t31 () (= tptp.zero @t30)) % 0.63/0.86 (define @t32 () (not @t31)) % 0.63/0.86 (define @t33 () (or @t32 @t29)) % 0.63/0.86 (define @t34 () (@list false false)) % 0.63/0.86 (define @t35 () (tptp.less_equal @t25 @t25)) % 0.63/0.86 (define @t36 () (not @t29)) % 0.63/0.86 (define @t37 () (or @t36 @t35)) % 0.63/0.86 (define @t38 () (tptp.less_equal @t26 tptp.a)) % 0.63/0.86 (define @t39 () (not @t35)) % 0.63/0.86 (define @t40 () (or @t39 @t38)) % 0.63/0.86 (define @t41 () (tptp.divide @t26 tptp.a)) % 0.63/0.86 (define @t42 () (= tptp.zero @t41)) % 0.63/0.86 (define @t43 () (not @t38)) % 0.63/0.86 (define @t44 () (or @t43 @t42)) % 0.63/0.86 (define @t45 () (tptp.divide @t27 tptp.a)) % 0.63/0.86 (define @t46 () (tptp.divide @t45 @t27)) % 0.63/0.86 (define @t47 () (= tptp.zero @t46)) % 0.63/0.86 (define @t48 () (tptp.less_equal @t45 @t27)) % 0.63/0.86 (define @t49 () (not @t48)) % 0.63/0.86 (define @t50 () (or @t49 @t47)) % 0.63/0.86 (define @t51 () (tptp.less_equal @t25 @t27)) % 0.63/0.86 (define @t52 () (not @t51)) % 0.63/0.86 (define @t53 () (tptp.less_equal @t27 @t25)) % 0.63/0.86 (define @t54 () (not @t53)) % 0.63/0.86 (define @t55 () (or @t54 @t52 (= @t27 @t25))) % 0.63/0.86 (define @t56 () (or @t54 @t52 @t28)) % 0.63/0.86 (define @t57 () (@list false)) % 0.63/0.86 (define @t58 () (@list @t17)) % 0.63/0.86 (define @t59 () (tptp.less_equal @t26 @t26)) % 0.63/0.86 (define @t60 () (or @t36 @t59)) % 0.63/0.86 (define @t61 () (not @t59)) % 0.63/0.86 (define @t62 () (or @t61 @t53)) % 0.63/0.86 (define @t63 () (= tptp.zero (tptp.divide @t25 @t27))) % 0.63/0.86 (define @t64 () (not @t63)) % 0.63/0.86 (define @t65 () (or @t64 @t51)) % 0.63/0.86 (define @t66 () (tptp.divide @t27 @t26)) % 0.63/0.86 (define @t67 () (tptp.less_equal @t27 @t66)) % 0.63/0.86 (define @t68 () (not @t67)) % 0.63/0.86 (define @t69 () (tptp.less_equal @t66 @t27)) % 0.63/0.86 (define @t70 () (not @t69)) % 0.63/0.86 (define @t71 () (or @t70 @t68 (= @t66 @t27))) % 0.63/0.86 (define @t72 () (= @t27 @t66)) % 0.63/0.86 (define @t73 () (or @t70 @t68 @t72)) % 0.63/0.86 (define @t74 () (tptp.divide @t27 @t66)) % 0.63/0.86 (define @t75 () (tptp.divide @t26 @t26)) % 0.63/0.86 (define @t76 () (tptp.less_equal @t75 @t74)) % 0.63/0.86 (define @t77 () (not @t76)) % 0.63/0.86 (define @t78 () (tptp.less_equal @t74 @t75)) % 0.63/0.86 (define @t79 () (not @t78)) % 0.63/0.86 (define @t80 () (or @t79 @t77 (= @t74 @t75))) % 0.63/0.86 (define @t81 () (= @t75 @t74)) % 0.63/0.86 (define @t82 () (or @t79 @t77 @t81)) % 0.63/0.86 (define @t83 () (tptp.divide @t30 @t26)) % 0.63/0.86 (define @t84 () (@list @t27 tptp.identity)) % 0.63/0.86 (define @t85 () (= tptp.zero (tptp.divide @t27 tptp.identity))) % 0.63/0.86 (define @t86 () (tptp.less_equal @t27 tptp.identity)) % 0.63/0.86 (define @t87 () (not @t86)) % 0.63/0.86 (define @t88 () (or @t87 @t85)) % 0.63/0.86 (define @t89 () (tptp.less_equal @t30 @t26)) % 0.63/0.86 (define @t90 () (or @t87 @t89)) % 0.63/0.86 (define @t91 () (= tptp.zero @t83)) % 0.63/0.86 (define @t92 () (not @t89)) % 0.63/0.86 (define @t93 () (or @t92 @t91)) % 0.63/0.86 (define @t94 () (tptp.less_equal @t83 @t27)) % 0.63/0.86 (define @t95 () (tptp.less_equal (tptp.divide @t83 @t66) @t74)) % 0.63/0.86 (define @t96 () (not @t94)) % 0.63/0.86 (define @t97 () (or @t96 @t95)) % 0.63/0.86 (define @t98 () (tptp.less_equal (tptp.divide @t27 @t75) @t66)) % 0.63/0.86 (define @t99 () (not @t98)) % 0.63/0.86 (define @t100 () (or @t99 @t78)) % 0.63/0.86 (define @t101 () (@list false false false)) % 0.63/0.86 (define @t102 () (= tptp.zero @t74)) % 0.63/0.86 (define @t103 () (not @t102)) % 0.63/0.86 (define @t104 () (or @t103 @t67)) % 0.63/0.86 (define @t105 () (tptp.divide @t25 @t30)) % 0.63/0.86 (define @t106 () (tptp.less_equal @t25 @t105)) % 0.63/0.86 (define @t107 () (not @t106)) % 0.63/0.86 (define @t108 () (tptp.less_equal @t105 @t25)) % 0.63/0.86 (define @t109 () (not @t108)) % 0.63/0.86 (define @t110 () (or @t109 @t107 (= @t105 @t25))) % 0.63/0.86 (define @t111 () (= @t25 @t105)) % 0.63/0.86 (define @t112 () (or @t109 @t107 @t111)) % 0.63/0.86 (define @t113 () (tptp.divide @t25 @t105)) % 0.63/0.86 (define @t114 () (tptp.less_equal @t30 @t113)) % 0.63/0.86 (define @t115 () (not @t114)) % 0.63/0.86 (define @t116 () (tptp.less_equal @t113 @t30)) % 0.63/0.86 (define @t117 () (not @t116)) % 0.63/0.86 (define @t118 () (or @t117 @t115 (= @t113 @t30))) % 0.63/0.86 (define @t119 () (= @t30 @t113)) % 0.63/0.86 (define @t120 () (or @t117 @t115 @t119)) % 0.63/0.86 (define @t121 () (tptp.divide @t25 tptp.identity)) % 0.63/0.86 (define @t122 () (tptp.divide @t25 @t121)) % 0.63/0.86 (define @t123 () (tptp.less_equal @t30 @t25)) % 0.63/0.86 (define @t124 () (tptp.less_equal @t26 tptp.identity)) % 0.63/0.86 (define @t125 () (not @t124)) % 0.63/0.86 (define @t126 () (or @t125 @t123)) % 0.63/0.86 (define @t127 () (tptp.less_equal (tptp.divide @t30 @t122) (tptp.divide @t25 @t122))) % 0.63/0.86 (define @t128 () (not @t123)) % 0.63/0.86 (define @t129 () (or @t128 @t127)) % 0.63/0.86 (define @t130 () (= tptp.zero @t121)) % 0.63/0.86 (define @t131 () (tptp.less_equal @t25 tptp.identity)) % 0.63/0.86 (define @t132 () (not @t131)) % 0.63/0.86 (define @t133 () (or @t132 @t130)) % 0.63/0.86 (define @t134 () (tptp.divide @t25 @t75)) % 0.63/0.86 (define @t135 () (tptp.divide @t27 (tptp.divide @t25 @t26))) % 0.63/0.86 (define @t136 () (tptp.divide @t135 @t75)) % 0.63/0.86 (define @t137 () (= tptp.zero @t136)) % 0.63/0.86 (define @t138 () (tptp.less_equal @t135 @t75)) % 0.63/0.86 (define @t139 () (not @t138)) % 0.63/0.86 (define @t140 () (or @t139 @t137)) % 0.63/0.86 (define @t141 () (tptp.less_equal @t105 @t105)) % 0.63/0.86 (define @t142 () (or @t39 @t141)) % 0.63/0.86 (define @t143 () (not @t141)) % 0.63/0.86 (define @t144 () (or @t143 @t116)) % 0.63/0.86 (define @t145 () (= tptp.zero @t113)) % 0.63/0.86 (define @t146 () (not @t145)) % 0.63/0.86 (define @t147 () (or @t146 @t106)) % 0.63/0.86 (define @t148 () (tptp.divide @t25 @t41)) % 0.63/0.86 (define @t149 () (tptp.less_equal @t45 @t148)) % 0.63/0.86 (define @t150 () (not @t149)) % 0.63/0.86 (define @t151 () (tptp.less_equal @t148 @t45)) % 0.63/0.86 (define @t152 () (not @t151)) % 0.63/0.86 (define @t153 () (or @t152 @t150 (= @t148 @t45))) % 0.63/0.86 (define @t154 () (= @t45 @t148)) % 0.63/0.86 (define @t155 () (or @t152 @t150 @t154)) % 0.63/0.86 (define @t156 () (tptp.less_equal @t45 @t25)) % 0.63/0.86 (define @t157 () (or @t87 @t156)) % 0.63/0.86 (define @t158 () (and @t31 @t42 @t47 @t72 @t111 @t154)) % 0.63/0.86 (assume @p1 @t9) % 0.63/0.86 (assume @p2 @t12) % 0.63/0.86 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.63/0.86 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide @t15 @t14) (tptp.divide @t3 @t13)))) % 0.63/0.86 (assume @p5 (forall @t16 (tptp.less_equal tptp.zero @t2))) % 0.63/0.86 (assume @p6 @t17) % 0.63/0.86 (assume @p7 (forall @t16 (tptp.less_equal @t2 tptp.identity))) % 0.63/0.86 (assume @p8 @t19) % 0.63/0.86 (assume @p9 @t21) % 0.63/0.86 (assume @p10 @t23) % 0.63/0.86 (assume @p11 (forall @t24 (or (not (tptp.less_equal @t3 @t13)) (tptp.less_equal @t15 @t1)))) % 0.63/0.86 (assume @p12 (forall @t24 (or @t6 (tptp.less_equal @t15 @t14)))) % 0.63/0.86 (assume @p13 (not @t28)) % 0.63/0.86 (assume @p14 (= @t25 tptp.b)) % 0.63/0.86 (assume @p15 (= (tptp.divide tptp.identity tptp.b) tptp.c)) % 0.63/0.86 (assume @p16 (= (tptp.divide tptp.identity tptp.c) tptp.d)) % 0.63/0.86 (assume @p17 (not (= tptp.b tptp.d))) % 0.63/0.86 (step @p18 :rule eq-symm :args (@t18 tptp.zero)) % 0.63/0.86 (step @p19 :rule cong :premises (@p18) :args (@t19)) % 0.63/0.86 (step @p20 :rule eq_resolve :premises (@p8 @p19)) % 0.63/0.86 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.identity))) % 0.63/0.86 (step @p22 :rule eq-symm :args (@t3 tptp.zero)) % 0.63/0.86 (step @p23 :rule refl :args (@t6)) % 0.63/0.86 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t7)) % 0.63/0.86 (step @p25 :rule cong :premises (@p24) :args (@t9)) % 0.63/0.86 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.63/0.86 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t26 tptp.a))) % 0.63/0.86 (step @p28 :rule instantiate :premises (@p11) :args ((@list tptp.identity tptp.a @t25))) % 0.63/0.86 (step @p29 :rule instantiate :premises (@p12) :args ((@list tptp.identity tptp.identity tptp.a))) % 0.63/0.86 (step @p30 :rule refl :args (@t5)) % 0.63/0.86 (step @p31 :rule cong :premises (@p22) :args (@t10)) % 0.63/0.86 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t11)) % 0.63/0.86 (step @p33 :rule cong :premises (@p32) :args (@t12)) % 0.63/0.86 (step @p34 :rule eq_resolve :premises (@p2 @p33)) % 0.63/0.86 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.identity tptp.identity))) % 0.63/0.86 (step @p36 :rule cnf_or_pos :args (@t33)) % 0.63/0.86 (step @p37 :rule reordering :premises (@p36) :args ((or @t29 @t32 (not @t33)))) % 0.63/0.86 (step @p38 :rule chain_m_resolution :premises (@p37 @p21 @p35) :args (@t29 @t34 (@list @t31 @t33))) % 0.63/0.86 (step @p39 :rule cnf_or_pos :args (@t37)) % 0.63/0.86 (step @p40 :rule reordering :premises (@p39) :args ((or @t36 @t35 (not @t37)))) % 0.63/0.86 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p29) :args (@t35 @t34 (@list @t29 @t37))) % 0.63/0.86 (step @p42 :rule cnf_or_pos :args (@t40)) % 0.63/0.86 (step @p43 :rule reordering :premises (@p42) :args ((or @t39 @t38 (not @t40)))) % 0.63/0.86 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p28) :args (@t38 @t34 (@list @t35 @t40))) % 0.63/0.86 (step @p45 :rule cnf_or_pos :args (@t44)) % 0.63/0.86 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t42 (not @t44)))) % 0.63/0.86 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p27) :args (@t42 @t34 (@list @t38 @t44))) % 0.63/0.86 (step @p48 :rule instantiate :premises (@p26) :args ((@list @t45 @t27))) % 0.63/0.86 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t27 tptp.a))) % 0.63/0.86 (step @p50 :rule cnf_or_pos :args (@t50)) % 0.63/0.86 (step @p51 :rule reordering :premises (@p50) :args ((or @t49 @t47 (not @t50)))) % 0.63/0.86 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t47 @t34 (@list @t48 @t50))) % 0.63/0.86 (step @p53 :rule instantiate :premises (@p34) :args ((@list @t25 @t27))) % 0.63/0.86 (step @p54 :rule eq-symm :args (@t27 @t25)) % 0.63/0.86 (step @p55 :rule refl :args (@t52)) % 0.63/0.86 (step @p56 :rule refl :args (@t54)) % 0.63/0.86 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t55)) % 0.63/0.86 (step @p58 :rule refl :args (@t17)) % 0.63/0.86 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t17 @t55))) % 0.63/0.86 (assume-push @p307 @t17) % 0.63/0.86 (step @p61 :rule instantiate :premises (@p6) :args ((@list @t27 @t25))) % 0.63/0.86 (step-pop @p308 :rule scope :premises (@p61)) % 0.63/0.86 (step @p62 :rule process_scope :premises (@p308) :args (@t55)) % 0.63/0.86 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.63/0.86 (step @p65 :rule implies_elim :premises (@p64)) % 0.63/0.86 (step @p66 :rule chain_m_resolution :premises (@p65 @p6) :args (@t56 @t57 @t58)) % 0.63/0.86 (step @p67 :rule instantiate :premises (@p11) :args ((@list tptp.identity @t25 @t26))) % 0.63/0.86 (step @p68 :rule instantiate :premises (@p12) :args ((@list tptp.identity tptp.identity @t25))) % 0.63/0.86 (step @p69 :rule cnf_or_pos :args (@t60)) % 0.63/0.86 (step @p70 :rule reordering :premises (@p69) :args ((or @t36 @t59 (not @t60)))) % 0.63/0.86 (step @p71 :rule chain_m_resolution :premises (@p70 @p38 @p68) :args (@t59 @t34 (@list @t29 @t60))) % 0.63/0.86 (step @p72 :rule cnf_or_pos :args (@t62)) % 0.63/0.86 (step @p73 :rule reordering :premises (@p72) :args ((or @t61 @t53 (not @t62)))) % 0.63/0.86 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p67) :args (@t53 @t34 (@list @t59 @t62))) % 0.63/0.86 (step @p75 :rule cnf_or_pos :args (@t56)) % 0.63/0.86 (step @p76 :rule reordering :premises (@p75) :args ((or @t28 @t54 @t52 (not @t56)))) % 0.63/0.86 (step @p77 :rule chain_m_resolution :premises (@p76 @p13 @p74 @p66) :args (@t52 (@list true false false) (@list @t28 @t53 @t56))) % 0.63/0.86 (step @p78 :rule cnf_or_pos :args (@t65)) % 0.63/0.86 (step @p79 :rule reordering :premises (@p78) :args ((or @t51 @t64 (not @t65)))) % 0.63/0.86 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p53) :args (@t64 (@list true false) (@list @t51 @t65))) % 0.63/0.86 (step @p81 :rule eq-symm :args (@t66 @t27)) % 0.63/0.86 (step @p82 :rule refl :args (@t68)) % 0.63/0.86 (step @p83 :rule refl :args (@t70)) % 0.63/0.86 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t71)) % 0.63/0.86 (step @p85 :rule cong :premises (@p58 @p84) :args ((=> @t17 @t71))) % 0.63/0.86 (assume-push @p309 @t17) % 0.63/0.86 (step @p87 :rule instantiate :premises (@p6) :args ((@list @t66 @t27))) % 0.63/0.86 (step-pop @p310 :rule scope :premises (@p87)) % 0.63/0.86 (step @p88 :rule process_scope :premises (@p310) :args (@t71)) % 0.63/0.86 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.63/0.86 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(step @p306 false :rule chain_m_resolution :premises (@p305 @p281 @p251 @p166 @p80 @p52 @p47 @p21) :args (false (@list false false false true false false false) (@list @t154 @t111 @t72 @t63 @t47 @t42 @t31))) % 0.63/0.86 ) % 0.63/0.86 % SZS output end Proof % 0.63/0.87 % cvc5 exiting %------------------------------------------------------------------------------