%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN006-3 : 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 : n013.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 08:22:52 AM UTC 2026 % Result : Unsatisfiable 2.72s 3.04s % Output : Proof 2.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN006-3 : 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 % 0.16/0.34 % Computer : n013.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 02:14:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.72/3.04 % SZS status Unsatisfiable % 2.72/3.04 % SZS output start Proof % 2.88/3.05 ( % 2.88/3.05 (declare-sort $$unsorted 0) % 2.88/3.05 (declare-const tptp.a $$unsorted) % 2.88/3.05 (declare-const tptp.b $$unsorted) % 2.88/3.05 (declare-const tptp.d $$unsorted) % 2.88/3.05 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 2.88/3.05 (declare-const tptp.identity $$unsorted) % 2.88/3.05 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 2.88/3.05 (declare-const tptp.zero $$unsorted) % 2.88/3.05 (define @t1 () (@var "Y" $$unsorted)) % 2.88/3.05 (define @t2 () (@var "X" $$unsorted)) % 2.88/3.05 (define @t3 () (tptp.divide @t2 @t1)) % 2.88/3.05 (define @t4 () (= @t3 tptp.zero)) % 2.88/3.05 (define @t5 () (tptp.less_equal @t2 @t1)) % 2.88/3.05 (define @t6 () (not @t5)) % 2.88/3.05 (define @t7 () (or @t6 @t4)) % 2.88/3.05 (define @t8 () (@list @t2 @t1)) % 2.88/3.05 (define @t9 () (forall @t8 @t7)) % 2.88/3.05 (define @t10 () (not @t4)) % 2.88/3.05 (define @t11 () (or @t10 @t5)) % 2.88/3.05 (define @t12 () (forall @t8 @t11)) % 2.88/3.05 (define @t13 () (@var "Z" $$unsorted)) % 2.88/3.05 (define @t14 () (@list @t2)) % 2.88/3.05 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 2.88/3.05 (define @t16 () (tptp.divide tptp.a tptp.b)) % 2.88/3.05 (define @t17 () (tptp.less_equal @t16 tptp.d)) % 2.88/3.05 (define @t18 () (tptp.divide tptp.a tptp.d)) % 2.88/3.05 (define @t19 () (tptp.less_equal @t18 tptp.b)) % 2.88/3.05 (define @t20 () (tptp.divide @t18 tptp.b)) % 2.88/3.05 (define @t21 () (@list @t20 @t18)) % 2.88/3.05 (define @t22 () (@list @t18 tptp.b)) % 2.88/3.05 (define @t23 () (tptp.divide @t20 @t18)) % 2.88/3.05 (define @t24 () (= tptp.zero @t23)) % 2.88/3.05 (define @t25 () (tptp.less_equal @t20 @t18)) % 2.88/3.05 (define @t26 () (not @t25)) % 2.88/3.05 (define @t27 () (or @t26 @t24)) % 2.88/3.05 (define @t28 () (@list false false)) % 2.88/3.05 (define @t29 () (tptp.divide tptp.d tptp.b)) % 2.88/3.05 (define @t30 () (tptp.divide @t16 @t29)) % 2.88/3.05 (define @t31 () (tptp.divide @t30 @t16)) % 2.88/3.05 (define @t32 () (= tptp.zero @t31)) % 2.88/3.05 (define @t33 () (tptp.less_equal @t30 @t16)) % 2.88/3.05 (define @t34 () (not @t33)) % 2.88/3.05 (define @t35 () (or @t34 @t32)) % 2.88/3.05 (define @t36 () (tptp.divide @t18 tptp.a)) % 2.88/3.05 (define @t37 () (tptp.divide @t36 tptp.b)) % 2.88/3.05 (define @t38 () (tptp.divide @t20 @t16)) % 2.88/3.05 (define @t39 () (tptp.divide @t38 @t37)) % 2.88/3.05 (define @t40 () (= tptp.zero @t39)) % 2.88/3.05 (define @t41 () (tptp.less_equal @t38 @t37)) % 2.88/3.05 (define @t42 () (not @t41)) % 2.88/3.05 (define @t43 () (or @t42 @t40)) % 2.88/3.05 (define @t44 () (= tptp.zero @t36)) % 2.88/3.05 (define @t45 () (tptp.less_equal @t18 tptp.a)) % 2.88/3.05 (define @t46 () (not @t45)) % 2.88/3.05 (define @t47 () (or @t46 @t44)) % 2.88/3.05 (define @t48 () (tptp.less_equal @t36 tptp.b)) % 2.88/3.05 (define @t49 () (= tptp.zero @t37)) % 2.88/3.05 (define @t50 () (not @t48)) % 2.88/3.05 (define @t51 () (or @t50 @t49)) % 2.88/3.05 (define @t52 () (tptp.less_equal @t38 @t31)) % 2.88/3.05 (define @t53 () (tptp.less_equal @t31 @t38)) % 2.88/3.05 (define @t54 () (= @t31 @t38)) % 2.88/3.05 (define @t55 () (not @t52)) % 2.88/3.05 (define @t56 () (not @t53)) % 2.88/3.05 (define @t57 () (or @t56 @t55 @t54)) % 2.88/3.05 (define @t58 () (@list false false false)) % 2.88/3.05 (define @t59 () (tptp.less_equal @t20 @t23)) % 2.88/3.05 (define @t60 () (not @t59)) % 2.88/3.05 (define @t61 () (tptp.less_equal @t23 @t20)) % 2.88/3.05 (define @t62 () (not @t61)) % 2.88/3.05 (define @t63 () (= @t23 @t20)) % 2.88/3.05 (define @t64 () (or @t62 @t60 @t63)) % 2.88/3.05 (define @t65 () (= @t20 @t23)) % 2.88/3.05 (define @t66 () (or @t62 @t60 @t65)) % 2.88/3.05 (define @t67 () (@list false)) % 2.88/3.05 (define @t68 () (@list @t15)) % 2.88/3.05 (define @t69 () (not (= tptp.zero @t20))) % 2.88/3.05 (define @t70 () (or @t69 @t19)) % 2.88/3.05 (define @t71 () (@list true false)) % 2.88/3.05 (define @t72 () (tptp.divide @t20 @t23)) % 2.88/3.05 (define @t73 () (not (= tptp.zero @t72))) % 2.88/3.05 (define @t74 () (or @t73 @t59)) % 2.88/3.05 (define @t75 () (tptp.divide @t20 @t38)) % 2.88/3.05 (define @t76 () (= tptp.zero @t75)) % 2.88/3.05 (define @t77 () (tptp.divide @t16 @t37)) % 2.88/3.05 (define @t78 () (tptp.divide @t20 @t37)) % 2.88/3.05 (define @t79 () (tptp.divide @t78 @t77)) % 2.88/3.05 (define @t80 () (tptp.less_equal @t39 @t79)) % 2.88/3.05 (define @t81 () (not @t80)) % 2.88/3.05 (define @t82 () (tptp.less_equal @t79 @t39)) % 2.88/3.05 (define @t83 () (not @t82)) % 2.88/3.05 (define @t84 () (or @t83 @t81 (= @t79 @t39))) % 2.88/3.05 (define @t85 () (@list @t79 @t39)) % 2.88/3.05 (define @t86 () (= @t39 @t79)) % 2.88/3.05 (define @t87 () (or @t83 @t81 @t86)) % 2.88/3.05 (define @t88 () (= tptp.zero (tptp.divide @t79 @t39))) % 2.88/3.05 (define @t89 () (or @t83 @t88)) % 2.88/3.05 (define @t90 () (tptp.divide @t16 tptp.d)) % 2.88/3.05 (define @t91 () (= tptp.zero @t90)) % 2.88/3.05 (define @t92 () (not @t17)) % 2.88/3.05 (define @t93 () (or @t92 @t91)) % 2.88/3.05 (define @t94 () (tptp.less_equal @t78 @t79)) % 2.88/3.05 (define @t95 () (not @t94)) % 2.88/3.05 (define @t96 () (tptp.less_equal @t79 @t78)) % 2.88/3.05 (define @t97 () (not @t96)) % 2.88/3.05 (define @t98 () (or @t97 @t95 (= @t79 @t78))) % 2.88/3.05 (define @t99 () (= @t78 @t79)) % 2.88/3.05 (define @t100 () (or @t97 @t95 @t99)) % 2.88/3.05 (define @t101 () (tptp.divide tptp.d @t90)) % 2.88/3.05 (define @t102 () (tptp.divide tptp.b @t101)) % 2.88/3.05 (define @t103 () (tptp.less_equal tptp.d @t101)) % 2.88/3.05 (define @t104 () (not @t103)) % 2.88/3.05 (define @t105 () (tptp.less_equal @t101 tptp.d)) % 2.88/3.05 (define @t106 () (not @t105)) % 2.88/3.05 (define @t107 () (or @t106 @t104 (= @t101 tptp.d))) % 2.88/3.05 (define @t108 () (= tptp.d @t101)) % 2.88/3.05 (define @t109 () (or @t106 @t104 @t108)) % 2.88/3.05 (define @t110 () (tptp.divide @t90 @t101)) % 2.88/3.05 (define @t111 () (tptp.divide tptp.d @t101)) % 2.88/3.05 (define @t112 () (tptp.divide @t111 @t110)) % 2.88/3.05 (define @t113 () (tptp.less_equal @t111 @t112)) % 2.88/3.05 (define @t114 () (not @t113)) % 2.88/3.05 (define @t115 () (tptp.less_equal @t112 @t111)) % 2.88/3.05 (define @t116 () (not @t115)) % 2.88/3.05 (define @t117 () (or @t116 @t114 (= @t112 @t111))) % 2.88/3.05 (define @t118 () (= @t111 @t112)) % 2.88/3.05 (define @t119 () (or @t116 @t114 @t118)) % 2.88/3.05 (define @t120 () (@list @t111 @t110)) % 2.88/3.05 (define @t121 () (tptp.divide @t101 @t101)) % 2.88/3.05 (define @t122 () (tptp.less_equal @t121 @t112)) % 2.88/3.05 (define @t123 () (not @t122)) % 2.88/3.05 (define @t124 () (tptp.less_equal @t112 @t121)) % 2.88/3.05 (define @t125 () (not @t124)) % 2.88/3.05 (define @t126 () (or @t125 @t123 (= @t112 @t121))) % 2.88/3.05 (define @t127 () (@list @t112 @t121)) % 2.88/3.05 (define @t128 () (= @t121 @t112)) % 2.88/3.05 (define @t129 () (or @t125 @t123 @t128)) % 2.88/3.05 (define @t130 () (= tptp.zero (tptp.divide @t112 @t121))) % 2.88/3.05 (define @t131 () (or @t125 @t130)) % 2.88/3.05 (define @t132 () (tptp.divide tptp.d @t16)) % 2.88/3.05 (define @t133 () (tptp.divide @t132 tptp.d)) % 2.88/3.05 (define @t134 () (= tptp.zero @t133)) % 2.88/3.05 (define @t135 () (tptp.less_equal @t132 tptp.d)) % 2.88/3.05 (define @t136 () (not @t135)) % 2.88/3.05 (define @t137 () (or @t136 @t134)) % 2.88/3.05 (define @t138 () (tptp.divide tptp.d tptp.d)) % 2.88/3.05 (define @t139 () (tptp.divide @t138 @t90)) % 2.88/3.05 (define @t140 () (tptp.less_equal @t133 @t139)) % 2.88/3.05 (define @t141 () (not @t140)) % 2.88/3.05 (define @t142 () (tptp.less_equal @t139 @t133)) % 2.88/3.05 (define @t143 () (not @t142)) % 2.88/3.05 (define @t144 () (or @t143 @t141 (= @t139 @t133))) % 2.88/3.05 (define @t145 () (@list @t139 @t133)) % 2.88/3.05 (define @t146 () (= @t133 @t139)) % 2.88/3.05 (define @t147 () (or @t143 @t141 @t146)) % 2.88/3.05 (define @t148 () (= tptp.zero (tptp.divide @t139 @t133))) % 2.88/3.05 (define @t149 () (or @t143 @t148)) % 2.88/3.05 (define @t150 () (tptp.less_equal @t139 @t121)) % 2.88/3.05 (define @t151 () (not @t150)) % 2.88/3.05 (define @t152 () (tptp.less_equal @t121 @t139)) % 2.88/3.05 (define @t153 () (not @t152)) % 2.88/3.05 (define @t154 () (or @t153 @t151 (= @t121 @t139))) % 2.88/3.05 (define @t155 () (@list @t121 @t139)) % 2.88/3.05 (define @t156 () (= @t139 @t121)) % 2.88/3.05 (define @t157 () (or @t153 @t151 @t156)) % 2.88/3.05 (define @t158 () (= tptp.zero (tptp.divide @t121 @t139))) % 2.88/3.05 (define @t159 () (or @t153 @t158)) % 2.88/3.05 (define @t160 () (tptp.divide tptp.d tptp.a)) % 2.88/3.05 (define @t161 () (tptp.divide @t160 tptp.d)) % 2.88/3.05 (define @t162 () (= tptp.zero @t161)) % 2.88/3.05 (define @t163 () (tptp.less_equal @t160 tptp.d)) % 2.88/3.05 (define @t164 () (not @t163)) % 2.88/3.05 (define @t165 () (or @t164 @t162)) % 2.88/3.05 (define @t166 () (tptp.less_equal @t111 @t110)) % 2.88/3.05 (define @t167 () (= tptp.zero @t112)) % 2.88/3.05 (define @t168 () (not @t167)) % 2.88/3.05 (define @t169 () (or @t168 @t166)) % 2.88/3.05 (define @t170 () (tptp.divide @t121 @t101)) % 2.88/3.05 (define @t171 () (= tptp.zero @t170)) % 2.88/3.05 (define @t172 () (tptp.less_equal @t121 @t101)) % 2.88/3.05 (define @t173 () (not @t172)) % 2.88/3.05 (define @t174 () (or @t173 @t171)) % 2.88/3.05 (define @t175 () (= tptp.zero @t111)) % 2.88/3.05 (define @t176 () (not @t175)) % 2.88/3.05 (define @t177 () (or @t176 @t103)) % 2.88/3.05 (define @t178 () (tptp.divide tptp.b tptp.d)) % 2.88/3.05 (define @t179 () (tptp.divide @t18 @t178)) % 2.88/3.05 (define @t180 () (tptp.less_equal @t90 @t179)) % 2.88/3.05 (define @t181 () (not @t180)) % 2.88/3.05 (define @t182 () (tptp.less_equal @t179 @t90)) % 2.88/3.05 (define @t183 () (not @t182)) % 2.88/3.05 (define @t184 () (or @t183 @t181 (= @t179 @t90))) % 2.88/3.05 (define @t185 () (@list @t179 @t90)) % 2.88/3.05 (define @t186 () (= @t90 @t179)) % 2.88/3.05 (define @t187 () (or @t183 @t181 @t186)) % 2.88/3.05 (define @t188 () (= tptp.zero (tptp.divide @t179 @t90))) % 2.88/3.05 (define @t189 () (or @t183 @t188)) % 2.88/3.05 (define @t190 () (= tptp.zero (tptp.divide @t102 tptp.b))) % 2.88/3.05 (define @t191 () (tptp.less_equal @t102 tptp.b)) % 2.88/3.05 (define @t192 () (not @t191)) % 2.88/3.05 (define @t193 () (or @t192 @t190)) % 2.88/3.05 (define @t194 () (tptp.divide tptp.b @t18)) % 2.88/3.05 (define @t195 () (tptp.divide @t194 tptp.b)) % 2.88/3.05 (define @t196 () (= tptp.zero @t195)) % 2.88/3.05 (define @t197 () (tptp.less_equal @t194 tptp.b)) % 2.88/3.05 (define @t198 () (not @t197)) % 2.88/3.05 (define @t199 () (or @t198 @t196)) % 2.88/3.05 (define @t200 () (and @t24 @t32 @t40 @t49 @t54 @t86 @t99)) % 2.88/3.05 (assume @p1 @t9) % 2.88/3.05 (assume @p2 @t12) % 2.88/3.05 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 2.88/3.05 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 2.88/3.05 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 2.88/3.05 (assume @p6 @t15) % 2.88/3.05 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 2.88/3.05 (assume @p8 @t17) % 2.88/3.05 (assume @p9 (not @t19)) % 2.88/3.05 (step @p10 :rule eq-symm :args (@t3 tptp.zero)) % 2.88/3.05 (step @p11 :rule refl :args (@t6)) % 2.88/3.05 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t7)) % 2.88/3.05 (step @p13 :rule cong :premises (@p12) :args (@t9)) % 2.88/3.05 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 2.88/3.05 (step @p15 :rule instantiate :premises (@p14) :args (@t21)) % 2.88/3.05 (step @p16 :rule instantiate :premises (@p3) :args (@t22)) % 2.88/3.05 (step @p17 :rule cnf_or_pos :args (@t27)) % 2.88/3.05 (step @p18 :rule reordering :premises (@p17) :args ((or @t26 @t24 (not @t27)))) % 2.88/3.05 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p15) :args (@t24 @t28 (@list @t25 @t27))) % 2.88/3.05 (step @p20 :rule instantiate :premises (@p14) :args ((@list @t30 @t16))) % 2.88/3.05 (step @p21 :rule instantiate :premises (@p3) :args ((@list @t16 @t29))) % 2.88/3.05 (step @p22 :rule cnf_or_pos :args (@t35)) % 2.88/3.05 (step @p23 :rule reordering :premises (@p22) :args ((or @t34 @t32 (not @t35)))) % 2.88/3.05 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t32 @t28 (@list @t33 @t35))) % 2.88/3.05 (step @p25 :rule instantiate :premises (@p14) :args ((@list @t38 @t37))) % 2.88/3.05 (step @p26 :rule instantiate :premises (@p4) :args ((@list @t18 tptp.b tptp.a))) % 2.88/3.05 (step @p27 :rule cnf_or_pos :args (@t43)) % 2.88/3.05 (step @p28 :rule reordering :premises (@p27) :args ((or @t42 @t40 (not @t43)))) % 2.88/3.05 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t40 @t28 (@list @t41 @t43))) % 2.88/3.05 (step @p30 :rule instantiate :premises (@p14) :args ((@list @t36 tptp.b))) % 2.88/3.05 (step @p31 :rule instantiate :premises (@p5) :args ((@list tptp.b))) % 2.88/3.05 (step @p32 :rule true_intro :premises (@p31)) % 2.88/3.05 (step @p33 :rule refl :args (tptp.b)) % 2.88/3.05 (step @p34 :rule instantiate :premises (@p14) :args ((@list @t18 tptp.a))) % 2.88/3.05 (step @p35 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.d))) % 2.88/3.05 (step @p36 :rule cnf_or_pos :args (@t47)) % 2.88/3.05 (step @p37 :rule reordering :premises (@p36) :args ((or @t46 @t44 (not @t47)))) % 2.88/3.05 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t44 @t28 (@list @t45 @t47))) % 2.88/3.05 (step @p39 :rule symm :premises (@p38)) % 2.88/3.05 (step @p40 :rule cong :premises (@p39 @p33) :args (@t48)) % 2.88/3.05 (step @p41 :rule trans :premises (@p40 @p32)) % 2.88/3.05 (step @p42 :rule true_elim :premises (@p41)) % 2.88/3.05 (step @p43 :rule cnf_or_pos :args (@t51)) % 2.88/3.05 (step @p44 :rule reordering :premises (@p43) :args ((or @t50 @t49 (not @t51)))) % 2.88/3.05 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p30) :args (@t49 @t28 (@list @t48 @t51))) % 2.88/3.05 (step @p46 :rule instantiate :premises (@p6) :args ((@list @t31 @t38))) % 2.88/3.05 (step @p47 :rule true_intro :premises (@p26)) % 2.88/3.05 (step @p48 :rule symm :premises (@p24)) % 2.88/3.05 (step @p49 :rule trans :premises (@p48 @p45)) % 2.88/3.05 (step @p50 :rule refl :args (@t38)) % 2.88/3.05 (step @p51 :rule cong :premises (@p50 @p49) :args (@t52)) % 2.88/3.05 (step @p52 :rule trans :premises (@p51 @p47)) % 2.88/3.05 (step @p53 :rule true_elim :premises (@p52)) % 2.88/3.05 (step @p54 :rule instantiate :premises (@p5) :args ((@list @t38))) % 2.88/3.05 (step @p55 :rule true_intro :premises (@p54)) % 2.88/3.05 (step @p56 :rule cong :premises (@p48 @p50) :args (@t53)) % 2.88/3.05 (step @p57 :rule trans :premises (@p56 @p55)) % 2.88/3.05 (step @p58 :rule true_elim :premises (@p57)) % 2.88/3.05 (step @p59 :rule cnf_or_pos :args (@t57)) % 2.88/3.05 (step @p60 :rule reordering :premises (@p59) :args ((or @t56 @t55 @t54 (not @t57)))) % 2.88/3.05 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p53 @p46) :args (@t54 @t58 (@list @t53 @t52 @t57))) % 2.88/3.05 (step @p62 :rule refl :args (@t5)) % 2.88/3.05 (step @p63 :rule cong :premises (@p10) :args (@t10)) % 2.88/3.05 (step @p64 :rule nary_cong :premises 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2.88/3.05 (step @p290 :rule cnf_or_pos :args (@t129)) % 2.88/3.05 (step @p291 :rule reordering :premises (@p290) :args ((or @t125 @t123 @t128 (not @t129)))) % 2.88/3.05 (step @p292 :rule chain_m_resolution :premises (@p291 @p204 @p289 @p199) :args (@t128 @t58 (@list @t124 @t122 @t129))) % 2.88/3.05 (step @p293 :rule trans :premises (@p213 @p243 @p283 @p292)) % 2.88/3.05 (step @p294 :rule cnf_or_pos :args (@t169)) % 2.88/3.05 (step @p295 :rule reordering :premises (@p294) :args ((or @t166 @t168 (not @t169)))) % 2.88/3.05 (step @p296 :rule chain_m_resolution :premises (@p295 @p293 @p187) :args (@t166 @t28 (@list @t167 @t169))) % 2.88/3.05 (step @p297 :rule true_intro :premises (@p296)) % 2.88/3.05 (step @p298 :rule refl :args (@t101)) % 2.88/3.05 (step @p299 :rule cong :premises (@p285 @p298) :args (@t170)) % 2.88/3.05 (step @p300 :rule instantiate :premises (@p14) :args ((@list @t121 @t101))) % 2.88/3.05 (step @p301 :rule instantiate :premises (@p3) :args ((@list @t101 @t101))) % 2.88/3.05 (step @p302 :rule cnf_or_pos :args (@t174)) % 2.88/3.05 (step @p303 :rule reordering :premises (@p302) :args ((or @t173 @t171 (not @t174)))) % 2.88/3.05 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p300) :args (@t171 @t28 (@list @t172 @t174))) % 2.88/3.05 (step @p305 :rule symm :premises (@p292)) % 2.88/3.05 (step @p306 :rule trans :premises (@p305 @p284 @p244 @p214 @p304 @p299)) % 2.88/3.05 (step @p307 :rule refl :args (@t111)) % 2.88/3.05 (step @p308 :rule cong :premises (@p307 @p306) :args (@t113)) % 2.88/3.05 (step @p309 :rule trans :premises (@p308 @p297)) % 2.88/3.05 (step @p310 :rule true_elim :premises (@p309)) % 2.88/3.05 (step @p311 :rule instantiate :premises (@p3) :args (@t120)) % 2.88/3.05 (step @p312 :rule cnf_or_pos :args (@t119)) % 2.88/3.05 (step @p313 :rule reordering :premises (@p312) :args ((or @t116 @t114 @t118 (not @t119)))) % 2.88/3.05 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p310 @p186) :args (@t118 @t58 (@list @t115 @t113 @t119))) % 2.88/3.05 (step @p315 :rule symm :premises (@p314)) % 2.88/3.05 (step @p316 :rule trans :premises (@p213 @p243 @p283 @p292 @p315)) % 2.88/3.05 (step @p317 :rule cnf_or_pos :args (@t177)) % 2.88/3.05 (step @p318 :rule reordering :premises (@p317) :args ((or @t103 @t176 (not @t177)))) % 2.88/3.05 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p174) :args (@t103 @t28 (@list @t175 @t177))) % 2.88/3.05 (step @p320 :rule instantiate :premises (@p3) :args ((@list tptp.d @t90))) % 2.88/3.05 (step @p321 :rule cnf_or_pos :args (@t109)) % 2.88/3.05 (step @p322 :rule reordering :premises (@p321) :args ((or @t106 @t104 @t108 (not @t109)))) % 2.88/3.05 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p319 @p173) :args (@t108 @t58 (@list @t105 @t103 @t109))) % 2.88/3.05 (step @p324 :rule cong :premises (@p33 @p323) :args (@t178)) % 2.88/3.05 (step @p325 :rule refl :args (@t18)) % 2.88/3.05 (step @p326 :rule cong :premises (@p325 @p324) :args (@t179)) % 2.88/3.05 (step @p327 :rule eq-symm :args (@t179 @t90)) % 2.88/3.05 (step @p328 :rule refl :args (@t181)) % 2.88/3.05 (step @p329 :rule refl :args (@t183)) % 2.88/3.05 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327) :args (@t184)) % 2.88/3.05 (step @p331 :rule cong :premises (@p72 @p330) :args ((=> @t15 @t184))) % 2.88/3.05 (assume-push @p429 @t15) % 2.88/3.05 (step @p333 :rule instantiate :premises (@p6) :args (@t185)) % 2.88/3.05 (step-pop @p430 :rule scope :premises (@p333)) % 2.88/3.05 (step @p334 :rule process_scope :premises (@p430) :args (@t184)) % 2.88/3.05 (step @p336 :rule eq_resolve :premises (@p334 @p331)) % 2.88/3.05 (step @p337 :rule implies_elim :premises (@p336)) % 2.88/3.05 (step @p338 :rule chain_m_resolution :premises (@p337 @p6) :args (@t187 @t67 @t68)) % 2.88/3.05 (step @p339 :rule instantiate :premises (@p3) :args (@t185)) % 2.88/3.05 (step @p340 :rule true_intro :premises (@p339)) % 2.88/3.05 (step @p341 :rule refl :args (@t179)) % 2.88/3.05 (step @p342 :rule instantiate :premises (@p14) :args (@t185)) % 2.88/3.05 (step @p343 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.d tptp.b))) % 2.88/3.05 (step @p344 :rule cnf_or_pos :args (@t189)) % 2.88/3.05 (step @p345 :rule reordering :premises (@p344) :args ((or @t183 @t188 (not @t189)))) % 2.88/3.05 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p342) :args (@t188 @t28 (@list @t182 @t189))) % 2.88/3.05 (step @p347 :rule trans :premises (@p137 @p346)) % 2.88/3.05 (step @p348 :rule cong :premises (@p347 @p341) :args (@t180)) % 2.88/3.05 (step @p349 :rule trans :premises (@p348 @p340)) % 2.88/3.05 (step @p350 :rule true_elim :premises (@p349)) % 2.88/3.05 (step @p351 :rule cnf_or_pos :args (@t187)) % 2.88/3.05 (step @p352 :rule reordering :premises (@p351) :args ((or @t183 @t181 @t186 (not @t187)))) % 2.88/3.05 (step @p353 :rule chain_m_resolution :premises (@p352 @p343 @p350 @p338) :args (@t186 @t58 (@list @t182 @t180 @t187))) % 2.88/3.05 (step @p354 :rule trans :premises (@p353 @p326)) % 2.88/3.05 (step @p355 :rule trans :premises (@p39 @p136)) % 2.88/3.05 (step @p356 :rule trans :premises (@p355 @p354)) % 2.88/3.05 (step @p357 :rule cong :premises (@p356 @p33) :args (@t37)) % 2.88/3.05 (step @p358 :rule symm :premises (@p147)) % 2.88/3.05 (step @p359 :rule trans :premises (@p358 @p139 @p45 @p357)) % 2.88/3.05 (step @p360 :rule instantiate :premises (@p14) :args ((@list @t102 tptp.b))) % 2.88/3.05 (step @p361 :rule instantiate :premises (@p3) :args ((@list tptp.b @t101))) % 2.88/3.05 (step @p362 :rule cnf_or_pos :args (@t193)) % 2.88/3.05 (step @p363 :rule reordering :premises (@p362) :args ((or @t192 @t190 (not @t193)))) % 2.88/3.05 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p360) :args (@t190 @t28 (@list @t191 @t193))) % 2.88/3.05 (step @p365 :rule trans :premises (@p93 @p364)) % 2.88/3.05 (step @p366 :rule cong :premises (@p92 @p365) :args (@t72)) % 2.88/3.05 (step @p367 :rule instantiate :premises (@p14) :args ((@list @t194 tptp.b))) % 2.88/3.05 (step @p368 :rule instantiate :premises (@p3) :args ((@list tptp.b @t18))) % 2.88/3.05 (step @p369 :rule cnf_or_pos :args (@t199)) % 2.88/3.05 (step @p370 :rule reordering :premises (@p369) :args ((or @t198 @t196 (not @t199)))) % 2.88/3.05 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p367) :args (@t196 @t28 (@list @t197 @t199))) % 2.88/3.05 (step @p372 :rule symm :premises (@p371)) % 2.88/3.05 (step @p373 :rule trans :premises (@p372 @p19)) % 2.88/3.05 (step @p374 :rule cong :premises (@p92 @p373) :args ((tptp.divide @t20 @t195))) % 2.88/3.05 (step @p375 :rule trans :premises (@p374 @p366)) % 2.88/3.05 (step @p376 :rule symm :premises (@p374)) % 2.88/3.05 (step @p377 :rule symm :premises (@p45)) % 2.88/3.05 (step @p378 :rule trans :premises (@p377 @p19)) % 2.88/3.05 (step @p379 :rule cong :premises (@p92 @p378) :args (@t78)) % 2.88/3.05 (step @p380 :rule trans :premises (@p379 @p376)) % 2.88/3.05 (step @p381 :rule trans :premises (@p380 @p375)) % 2.88/3.05 (step @p382 :rule cong :premises (@p381 @p359) :args (@t94)) % 2.88/3.05 (step @p383 :rule trans :premises (@p382 @p161)) % 2.88/3.05 (step @p384 :rule true_elim :premises (@p383)) % 2.88/3.05 (step @p385 :rule instantiate :premises (@p3) :args ((@list @t78 @t77))) % 2.88/3.05 (step @p386 :rule cnf_or_pos :args (@t100)) % 2.88/3.05 (step @p387 :rule reordering :premises (@p386) :args ((or @t97 @t95 @t99 (not @t100)))) % 2.88/3.05 (step @p388 :rule chain_m_resolution :premises (@p387 @p385 @p384 @p159) :args (@t99 @t58 (@list @t96 @t94 @t100))) % 2.88/3.05 (assume-push @p431 @t24) % 2.88/3.05 (assume-push @p432 @t32) % 2.88/3.05 (assume-push @p433 @t40) % 2.88/3.05 (assume-push @p434 @t49) % 2.88/3.05 (assume-push @p435 @t54) % 2.88/3.05 (assume-push @p436 @t86) % 2.88/3.05 (assume-push @p437 @t99) % 2.88/3.05 (step @p396 :rule trans :premises (@p93 @p24 @p61)) % 2.88/3.05 (step @p397 :rule cong :premises (@p92 @p396) :args (@t72)) % 2.88/3.05 (step @p398 :rule symm :premises (@p388)) % 2.88/3.05 (step @p399 :rule trans :premises (@p29 @p147 @p398 @p379 @p397)) % 2.88/3.05 (step-pop @p438 :rule scope :premises (@p399)) % 2.88/3.05 (step-pop @p439 :rule scope :premises (@p438)) % 2.88/3.05 (step-pop @p440 :rule scope :premises (@p439)) % 2.88/3.05 (step-pop @p441 :rule scope :premises (@p440)) % 2.88/3.05 (step-pop @p442 :rule scope :premises (@p441)) % 2.88/3.05 (step-pop @p443 :rule scope :premises (@p442)) % 2.88/3.05 (step-pop @p444 :rule scope :premises (@p443)) % 2.88/3.05 (step @p400 :rule process_scope :premises (@p444) :args (@t76)) % 2.88/3.05 (step @p408 :rule implies_elim :premises (@p400)) % 2.88/3.05 (step @p409 :rule cnf_and_neg :args (@t200)) % 2.88/3.05 (step @p410 :rule resolution :premises (@p409 @p408) :args (true @t200)) % 2.88/3.05 (step @p411 :rule reordering :premises (@p410) :args ((or (not @t24) (not @t32) (not @t49) (not @t40) @t76 (not @t54) (not @t86) (not @t99)))) % 2.88/3.05 (step @p412 false :rule chain_m_resolution :premises (@p411 @p388 @p147 @p112 @p61 @p45 @p29 @p24 @p19) :args (false (@list false false true false false false false false) (@list @t99 @t86 @t76 @t54 @t49 @t40 @t32 @t24))) % 2.88/3.05 ) % 2.88/3.07 % SZS output end Proof % 2.88/3.07 % cvc5 exiting %------------------------------------------------------------------------------