%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC341+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:58:56 AM UTC 2026 % Result : Theorem 50.95s 51.19s % Output : Proof 50.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC341+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 19:42:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 50.95/51.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 50.95/51.19 --- Run --no-e-matching --full-saturate-quant at 6... % 50.95/51.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 50.95/51.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 50.95/51.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 50.95/51.19 % SZS status Theorem % 50.95/51.19 % SZS output start Proof % 50.95/51.19 ( % 50.95/51.19 (declare-sort $$unsorted 0) % 50.95/51.19 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 50.95/51.19 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 50.95/51.19 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.19 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 50.95/51.19 (declare-const tptp.nil $$unsorted) % 50.95/51.19 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.ssList (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 50.95/51.19 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 50.95/51.19 (define @t1 () (@var "V" $$unsorted)) % 50.95/51.19 (define @t2 () (@var "U" $$unsorted)) % 50.95/51.19 (define @t3 () (= @t2 @t1)) % 50.95/51.19 (define @t4 () (not @t3)) % 50.95/51.19 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 50.95/51.19 (define @t6 () (tptp.ssItem @t1)) % 50.95/51.19 (define @t7 () (@list @t1)) % 50.95/51.19 (define @t8 () (tptp.ssItem @t2)) % 50.95/51.19 (define @t9 () (@list @t2)) % 50.95/51.19 (define @t10 () (@var "X" $$unsorted)) % 50.95/51.19 (define @t11 () (tptp.cons @t1 @t10)) % 50.95/51.19 (define @t12 () (@var "W" $$unsorted)) % 50.95/51.19 (define @t13 () (tptp.app @t12 @t11)) % 50.95/51.19 (define @t14 () (tptp.ssList @t10)) % 50.95/51.19 (define @t15 () (and @t14 (= @t13 @t2))) % 50.95/51.19 (define @t16 () (@list @t10)) % 50.95/51.19 (define @t17 () (exists @t16 @t15)) % 50.95/51.19 (define @t18 () (tptp.ssList @t12)) % 50.95/51.19 (define @t19 () (and @t18 @t17)) % 50.95/51.19 (define @t20 () (@list @t12)) % 50.95/51.19 (define @t21 () (exists @t20 @t19)) % 50.95/51.19 (define @t22 () (tptp.memberP @t2 @t1)) % 50.95/51.19 (define @t23 () (= @t22 @t21)) % 50.95/51.19 (define @t24 () (=> @t6 @t23)) % 50.95/51.19 (define @t25 () (forall @t7 @t24)) % 50.95/51.19 (define @t26 () (tptp.ssList @t2)) % 50.95/51.19 (define @t27 () (=> @t26 @t25)) % 50.95/51.19 (define @t28 () (forall @t9 @t27)) % 50.95/51.19 (define @t29 () (tptp.cons @t1 tptp.nil)) % 50.95/51.19 (define @t30 () (tptp.app @t1 @t12)) % 50.95/51.19 (define @t31 () (tptp.frontsegP @t2 @t1)) % 50.95/51.19 (define @t32 () (tptp.ssList @t1)) % 50.95/51.19 (define @t33 () (tptp.app @t12 @t1)) % 50.95/51.19 (define @t34 () (tptp.rearsegP @t2 @t1)) % 50.95/51.19 (define @t35 () (tptp.segmentP @t2 @t1)) % 50.95/51.19 (define @t36 () (tptp.leq @t12 @t1)) % 50.95/51.19 (define @t37 () (tptp.leq @t1 @t12)) % 50.95/51.19 (define @t38 () (@var "Z" $$unsorted)) % 50.95/51.19 (define @t39 () (@var "Y" $$unsorted)) % 50.95/51.19 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 50.95/51.19 (define @t41 () (tptp.ssList @t38)) % 50.95/51.19 (define @t42 () (@list @t38)) % 50.95/51.19 (define @t43 () (tptp.ssList @t39)) % 50.95/51.19 (define @t44 () (@list @t39)) % 50.95/51.19 (define @t45 () (tptp.ssItem @t12)) % 50.95/51.19 (define @t46 () (tptp.lt @t1 @t12)) % 50.95/51.19 (define @t47 () (tptp.totalorderedP @t2)) % 50.95/51.19 (define @t48 () (= @t1 @t12)) % 50.95/51.19 (define @t49 () (forall @t7 (=> @t32 @t5))) % 50.95/51.19 (define @t50 () (=> @t26 @t49)) % 50.95/51.19 (define @t51 () (forall @t9 @t50)) % 50.95/51.19 (define @t52 () (tptp.cons @t1 @t2)) % 50.95/51.19 (define @t53 () (tptp.ssList @t52)) % 50.95/51.19 (define @t54 () (forall @t7 (=> @t6 @t53))) % 50.95/51.19 (define @t55 () (=> @t26 @t54)) % 50.95/51.19 (define @t56 () (forall @t9 @t55)) % 50.95/51.19 (define @t57 () (tptp.ssList tptp.nil)) % 50.95/51.19 (define @t58 () (= @t1 @t2)) % 50.95/51.19 (define @t59 () (tptp.cons @t12 @t1)) % 50.95/51.19 (define @t60 () (= tptp.nil @t2)) % 50.95/51.19 (define @t61 () (tptp.hd @t2)) % 50.95/51.19 (define @t62 () (not @t60)) % 50.95/51.19 (define @t63 () (tptp.tl @t2)) % 50.95/51.19 (define @t64 () (tptp.app @t2 @t1)) % 50.95/51.19 (define @t65 () (tptp.app @t1 @t2)) % 50.95/51.19 (define @t66 () (tptp.app tptp.nil @t2)) % 50.95/51.19 (define @t67 () (=> @t26 (= @t66 @t2))) % 50.95/51.19 (define @t68 () (forall @t9 @t67)) % 50.95/51.19 (define @t69 () (tptp.leq @t1 @t2)) % 50.95/51.19 (define @t70 () (tptp.leq @t2 @t1)) % 50.95/51.19 (define @t71 () (tptp.geq @t2 @t1)) % 50.95/51.19 (define @t72 () (tptp.lt @t1 @t2)) % 50.95/51.19 (define @t73 () (tptp.lt @t2 @t1)) % 50.95/51.19 (define @t74 () (tptp.lt @t2 @t12)) % 50.95/51.19 (define @t75 () (tptp.gt @t2 @t1)) % 50.95/51.19 (define @t76 () (tptp.memberP @t12 @t2)) % 50.95/51.19 (define @t77 () (tptp.app @t12 @t2)) % 50.95/51.19 (define @t78 () (tptp.segmentP @t1 @t2)) % 50.95/51.19 (define @t79 () (tptp.segmentP @t2 @t2)) % 50.95/51.19 (define @t80 () (forall @t9 (=> @t26 @t79))) % 50.95/51.19 (define @t81 () (tptp.segmentP (tptp.app @t77 @t10) @t1)) % 50.95/51.19 (define @t82 () (=> @t35 @t81)) % 50.95/51.19 (define @t83 () (forall @t16 (=> @t14 @t82))) % 50.95/51.19 (define @t84 () (=> @t18 @t83)) % 50.95/51.19 (define @t85 () (forall @t20 @t84)) % 50.95/51.19 (define @t86 () (=> @t32 @t85)) % 50.95/51.19 (define @t87 () (forall @t7 @t86)) % 50.95/51.19 (define @t88 () (=> @t26 @t87)) % 50.95/51.19 (define @t89 () (forall @t9 @t88)) % 50.95/51.19 (define @t90 () (tptp.segmentP @t2 tptp.nil)) % 50.95/51.19 (define @t91 () (forall @t9 (=> @t26 @t90))) % 50.95/51.19 (define @t92 () (tptp.cons @t2 tptp.nil)) % 50.95/51.19 (define @t93 () (tptp.totalorderedP @t92)) % 50.95/51.19 (define @t94 () (forall @t9 (=> @t8 @t93))) % 50.95/51.19 (define @t95 () (tptp.totalorderedP tptp.nil)) % 50.95/51.19 (define @t96 () (tptp.hd @t1)) % 50.95/51.19 (define @t97 () (= tptp.nil @t1)) % 50.95/51.19 (define @t98 () (not @t97)) % 50.95/51.19 (define @t99 () (tptp.cons @t2 @t1)) % 50.95/51.19 (define @t100 () (= @t12 @t2)) % 50.95/51.19 (define @t101 () (= @t52 (tptp.app @t29 @t2))) % 50.95/51.19 (define @t102 () (forall @t7 (=> @t6 @t101))) % 50.95/51.19 (define @t103 () (=> @t26 @t102)) % 50.95/51.19 (define @t104 () (forall @t9 @t103)) % 50.95/51.19 (define @t105 () (tptp.app @t2 tptp.nil)) % 50.95/51.19 (define @t106 () (=> @t26 (= @t105 @t2))) % 50.95/51.19 (define @t107 () (forall @t9 @t106)) % 50.95/51.19 (define @t108 () (and @t78 @t47)) % 50.95/51.19 (define @t109 () (tptp.neq @t10 tptp.nil)) % 50.95/51.19 (define @t110 () (not (tptp.memberP @t10 @t39))) % 50.95/51.19 (define @t111 () (tptp.cons @t39 tptp.nil)) % 50.95/51.19 (define @t112 () (not (= @t111 @t12))) % 50.95/51.19 (define @t113 () (or @t112 @t110)) % 50.95/51.19 (define @t114 () (tptp.ssItem @t39)) % 50.95/51.19 (define @t115 () (=> @t114 @t113)) % 50.95/51.19 (define @t116 () (forall @t44 @t115)) % 50.95/51.19 (define @t117 () (and @t116 @t109)) % 50.95/51.19 (define @t118 () (not (= tptp.nil @t12))) % 50.95/51.19 (define @t119 () (and @t118 (= tptp.nil @t10))) % 50.95/51.19 (define @t120 () (not (= @t2 @t12))) % 50.95/51.19 (define @t121 () (not (= @t1 @t10))) % 50.95/51.19 (define @t122 () (or @t121 @t120 @t119 @t117 @t108)) % 50.95/51.19 (define @t123 () (=> @t14 @t122)) % 50.95/51.19 (define @t124 () (forall @t16 @t123)) % 50.95/51.19 (define @t125 () (=> @t18 @t124)) % 50.95/51.19 (define @t126 () (forall @t20 @t125)) % 50.95/51.19 (define @t127 () (=> @t32 @t126)) % 50.95/51.19 (define @t128 () (forall @t7 @t127)) % 50.95/51.19 (define @t129 () (=> @t26 @t128)) % 50.95/51.19 (define @t130 () (forall @t9 @t129)) % 50.95/51.19 (define @t131 () (not @t130)) % 50.95/51.19 (define @t132 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 50.95/51.19 (define @t133 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 50.95/51.19 (define @t134 () (and (or (not (tptp.ssItem @t133)) (not (= @t2 (tptp.cons @t133 tptp.nil))) (not (tptp.memberP @t132 @t133))) (tptp.neq @t132 tptp.nil))) % 50.95/51.19 (define @t135 () (not (= @t2 tptp.nil))) % 50.95/51.19 (define @t136 () (and (tptp.segmentP @t132 @t2) @t47)) % 50.95/51.19 (define @t137 () (not (tptp.ssList @t132))) % 50.95/51.19 (define @t138 () (not @t26)) % 50.95/51.19 (define @t139 () (@list @t2 @t132 @t133)) % 50.95/51.19 (define @t140 () (forall @t139 (or @t138 @t137 @t136 (and @t135 (= tptp.nil @t132)) @t134))) % 50.95/51.19 (define @t141 () (@quantifiers_skolemize @t140 1)) % 50.95/51.19 (define @t142 () (@list @t141)) % 50.95/51.19 (define @t143 () (and @t135 (= @t132 tptp.nil))) % 50.95/51.19 (define @t144 () (or @t138 @t137 @t136 @t143 @t134)) % 50.95/51.19 (define @t145 () (or @t137 @t136 @t143 @t134)) % 50.95/51.19 (define @t146 () (or @t138 @t145)) % 50.95/51.19 (define @t147 () (forall @t139 @t146)) % 50.95/51.19 (define @t148 () (@list @t132 @t133)) % 50.95/51.19 (define @t149 () (forall @t148 @t146)) % 50.95/51.19 (define @t150 () (forall @t148 @t145)) % 50.95/51.19 (define @t151 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 50.95/51.19 (define @t152 () (or @t138 @t150)) % 50.95/51.19 (define @t153 () (tptp.neq @t1 tptp.nil)) % 50.95/51.19 (define @t154 () (or (not (tptp.ssItem @t151)) (not (= @t2 (tptp.cons @t151 tptp.nil))) (not (tptp.memberP @t1 @t151)))) % 50.95/51.19 (define @t155 () (and @t154 @t153)) % 50.95/51.19 (define @t156 () (= @t1 tptp.nil)) % 50.95/51.19 (define @t157 () (and @t135 @t156)) % 50.95/51.19 (define @t158 () (not @t32)) % 50.95/51.19 (define @t159 () (or @t158 @t108 @t157 @t155)) % 50.95/51.19 (define @t160 () (forall (@list @t1 @t151) @t159)) % 50.95/51.19 (define @t161 () (or @t138 @t160)) % 50.95/51.19 (define @t162 () (@list @t151)) % 50.95/51.19 (define @t163 () (forall @t162 @t159)) % 50.95/51.19 (define @t164 () (forall @t162 @t153)) % 50.95/51.19 (define @t165 () (forall @t162 @t154)) % 50.95/51.19 (define @t166 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 50.95/51.19 (define @t167 () (@list @t166)) % 50.95/51.19 (define @t168 () (and @t165 @t164)) % 50.95/51.19 (define @t169 () (forall @t162 @t155)) % 50.95/51.19 (define @t170 () (or @t158 @t108 @t157 @t169)) % 50.95/51.19 (define @t171 () (and (forall (@list @t166) (or (not (tptp.ssItem @t166)) (not (= @t2 (tptp.cons @t166 tptp.nil))) (not (tptp.memberP @t1 @t166)))) @t153)) % 50.95/51.19 (define @t172 () (or @t158 @t108 @t157 @t171)) % 50.95/51.19 (define @t173 () (forall @t7 @t172)) % 50.95/51.19 (define @t174 () (or @t138 @t173)) % 50.95/51.19 (define @t175 () (or @t138 @t172)) % 50.95/51.19 (define @t176 () (or @t158 @t108 @t138 @t157 @t171)) % 50.95/51.19 (define @t177 () (or @t108 @t158 @t138 @t157 @t171)) % 50.95/51.19 (define @t178 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 50.95/51.19 (define @t179 () (@list @t178)) % 50.95/51.19 (define @t180 () (forall @t179 @t153)) % 50.95/51.19 (define @t181 () (not (tptp.memberP @t1 @t178))) % 50.95/51.19 (define @t182 () (tptp.cons @t178 tptp.nil)) % 50.95/51.19 (define @t183 () (not (tptp.ssItem @t178))) % 50.95/51.19 (define @t184 () (or @t183 (not (= @t2 @t182)) @t181)) % 50.95/51.19 (define @t185 () (forall @t179 @t184)) % 50.95/51.19 (define @t186 () (@list @t178)) % 50.95/51.19 (define @t187 () (and @t185 @t180)) % 50.95/51.19 (define @t188 () (and @t184 @t153)) % 50.95/51.19 (define @t189 () (forall @t179 @t188)) % 50.95/51.19 (define @t190 () (or @t138 @t157 @t189)) % 50.95/51.19 (define @t191 () (or @t138 @t157 @t188)) % 50.95/51.19 (define @t192 () (not (= @t2 @t2))) % 50.95/51.19 (define @t193 () (or @t138 @t192 @t157 @t188)) % 50.95/51.19 (define @t194 () (or @t183 (not (= @t12 @t182)) @t181)) % 50.95/51.19 (define @t195 () (and @t194 @t153)) % 50.95/51.19 (define @t196 () (not (= @t12 tptp.nil))) % 50.95/51.19 (define @t197 () (and @t196 @t156)) % 50.95/51.19 (define @t198 () (not @t18)) % 50.95/51.19 (define @t199 () (or @t120 @t198 @t120 @t197 @t195)) % 50.95/51.19 (define @t200 () (or @t198 @t120 @t197 @t195)) % 50.95/51.19 (define @t201 () (forall @t20 @t200)) % 50.95/51.19 (define @t202 () (forall @t179 @t201)) % 50.95/51.19 (define @t203 () (forall (@list @t178 @t12) @t200)) % 50.95/51.19 (define @t204 () (forall (@list @t12 @t178) @t200)) % 50.95/51.19 (define @t205 () (forall @t179 @t200)) % 50.95/51.19 (define @t206 () (forall @t179 @t194)) % 50.95/51.19 (define @t207 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 50.95/51.19 (define @t208 () (@list @t207)) % 50.95/51.19 (define @t209 () (and @t206 @t180)) % 50.95/51.19 (define @t210 () (forall @t179 @t195)) % 50.95/51.19 (define @t211 () (or @t198 @t120 @t197 @t210)) % 50.95/51.19 (define @t212 () (and (forall (@list @t207) (or (not (tptp.ssItem @t207)) (not (= @t12 (tptp.cons @t207 tptp.nil))) (not (tptp.memberP @t1 @t207)))) @t153)) % 50.95/51.19 (define @t213 () (or @t198 @t120 @t197 @t212)) % 50.95/51.19 (define @t214 () (forall @t20 @t213)) % 50.95/51.19 (define @t215 () (or @t108 @t158 @t214)) % 50.95/51.19 (define @t216 () (or @t108 @t158 @t213)) % 50.95/51.19 (define @t217 () (or @t198 @t120 @t108 @t158 @t197 @t212)) % 50.95/51.19 (define @t218 () (or @t120 @t108 @t158 @t197 @t212)) % 50.95/51.19 (define @t219 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 50.95/51.19 (define @t220 () (@list @t219)) % 50.95/51.19 (define @t221 () (forall @t220 @t153)) % 50.95/51.19 (define @t222 () (not (= @t12 (tptp.cons @t219 tptp.nil)))) % 50.95/51.19 (define @t223 () (not (tptp.ssItem @t219))) % 50.95/51.19 (define @t224 () (or @t223 @t222 (not (tptp.memberP @t1 @t219)))) % 50.95/51.19 (define @t225 () (forall @t220 @t224)) % 50.95/51.19 (define @t226 () (@list @t219)) % 50.95/51.19 (define @t227 () (and @t225 @t221)) % 50.95/51.19 (define @t228 () (and @t224 @t153)) % 50.95/51.19 (define @t229 () (forall @t220 @t228)) % 50.95/51.19 (define @t230 () (or @t158 @t197 @t229)) % 50.95/51.19 (define @t231 () (or @t158 @t197 @t228)) % 50.95/51.19 (define @t232 () (not (= @t1 @t1))) % 50.95/51.19 (define @t233 () (or @t158 @t232 @t197 @t228)) % 50.95/51.19 (define @t234 () (or @t223 @t222 (not (tptp.memberP @t10 @t219)))) % 50.95/51.19 (define @t235 () (and @t234 @t109)) % 50.95/51.19 (define @t236 () (and @t196 (= @t10 tptp.nil))) % 50.95/51.19 (define @t237 () (not @t14)) % 50.95/51.19 (define @t238 () (or @t121 @t237 @t121 @t236 @t235)) % 50.95/51.19 (define @t239 () (or @t237 @t121 @t236 @t235)) % 50.95/51.19 (define @t240 () (forall @t16 @t239)) % 50.95/51.19 (define @t241 () (forall @t220 @t240)) % 50.95/51.19 (define @t242 () (forall (@list @t219 @t10) @t239)) % 50.95/51.19 (define @t243 () (forall (@list @t10 @t219) @t239)) % 50.95/51.19 (define @t244 () (forall @t220 @t239)) % 50.95/51.19 (define @t245 () (forall @t220 @t109)) % 50.95/51.19 (define @t246 () (forall @t220 @t234)) % 50.95/51.19 (define @t247 () (and @t246 @t245)) % 50.95/51.19 (define @t248 () (forall @t220 @t235)) % 50.95/51.19 (define @t249 () (or @t237 @t121 @t236 @t248)) % 50.95/51.19 (define @t250 () (not (= @t12 @t111))) % 50.95/51.19 (define @t251 () (not @t114)) % 50.95/51.19 (define @t252 () (or @t251 @t250 @t110)) % 50.95/51.19 (define @t253 () (and (forall @t44 @t252) @t109)) % 50.95/51.19 (define @t254 () (or @t237 @t121 @t236 @t253)) % 50.95/51.19 (define @t255 () (forall @t16 @t254)) % 50.95/51.19 (define @t256 () (or @t120 @t108 @t255)) % 50.95/51.19 (define @t257 () (or @t120 @t108 @t254)) % 50.95/51.19 (define @t258 () (or @t237 @t121 @t120 @t236 @t253 @t108)) % 50.95/51.19 (define @t259 () (or @t121 @t120 @t236 @t253 @t108)) % 50.95/51.19 (define @t260 () (or @t250 @t110)) % 50.95/51.19 (define @t261 () (tptp.neq @t141 tptp.nil)) % 50.95/51.19 (define @t262 () (@quantifiers_skolemize @t140 2)) % 50.95/51.19 (define @t263 () (tptp.memberP @t141 @t262)) % 50.95/51.19 (define @t264 () (not @t263)) % 50.95/51.19 (define @t265 () (tptp.cons @t262 tptp.nil)) % 50.95/51.19 (define @t266 () (@quantifiers_skolemize @t140 0)) % 50.95/51.19 (define @t267 () (= @t266 @t265)) % 50.95/51.19 (define @t268 () (not @t267)) % 50.95/51.19 (define @t269 () (tptp.ssItem @t262)) % 50.95/51.19 (define @t270 () (not @t269)) % 50.95/51.19 (define @t271 () (or @t270 @t268 @t264)) % 50.95/51.19 (define @t272 () (and @t271 @t261)) % 50.95/51.19 (define @t273 () (= tptp.nil @t141)) % 50.95/51.19 (define @t274 () (= tptp.nil @t266)) % 50.95/51.19 (define @t275 () (not @t274)) % 50.95/51.19 (define @t276 () (and @t275 @t273)) % 50.95/51.19 (define @t277 () (tptp.totalorderedP @t266)) % 50.95/51.19 (define @t278 () (tptp.segmentP @t141 @t266)) % 50.95/51.19 (define @t279 () (and @t278 @t277)) % 50.95/51.19 (define @t280 () (tptp.ssList @t141)) % 50.95/51.19 (define @t281 () (not @t280)) % 50.95/51.19 (define @t282 () (tptp.ssList @t266)) % 50.95/51.19 (define @t283 () (not @t282)) % 50.95/51.19 (define @t284 () (or @t283 @t281 @t279 @t276 @t272)) % 50.95/51.19 (define @t285 () (not @t284)) % 50.95/51.19 (define @t286 () (not @t140)) % 50.95/51.19 (define @t287 () (not (= @t266 tptp.nil))) % 50.95/51.19 (define @t288 () (and @t287 @t273)) % 50.95/51.19 (define @t289 () (or @t283 @t281 @t279 @t288 @t272)) % 50.95/51.19 (define @t290 () (not @t289)) % 50.95/51.19 (define @t291 () (@list true)) % 50.95/51.19 (define @t292 () (@list @t284)) % 50.95/51.19 (define @t293 () (tptp.segmentP @t141 tptp.nil)) % 50.95/51.19 (define @t294 () (or @t281 @t293)) % 50.95/51.19 (define @t295 () (@list false false)) % 50.95/51.19 (define @t296 () (not @t293)) % 50.95/51.19 (define @t297 () (not @t278)) % 50.95/51.19 (define @t298 () (not @t297)) % 50.95/51.19 (define @t299 () (= false true)) % 50.95/51.19 (define @t300 () (and @t293 @t274 @t297)) % 50.95/51.19 (define @t301 () (not @t273)) % 50.95/51.19 (define @t302 () (@var "BOUND_VARIABLE_9103" $$unsorted)) % 50.95/51.19 (define @t303 () (= (tptp.neq @t2 @t302) (not (= @t2 @t302)))) % 50.95/51.19 (define @t304 () (not (tptp.ssList @t302))) % 50.95/51.19 (define @t305 () (or @t138 @t304 @t303)) % 50.95/51.19 (define @t306 () (or @t304 @t303)) % 50.95/51.19 (define @t307 () (or @t138 @t306)) % 50.95/51.19 (define @t308 () (@list @t2 @t302)) % 50.95/51.19 (define @t309 () (forall @t308 @t307)) % 50.95/51.19 (define @t310 () (@list @t302)) % 50.95/51.19 (define @t311 () (forall @t310 @t307)) % 50.95/51.19 (define @t312 () (forall @t310 @t306)) % 50.95/51.19 (define @t313 () (@list @t1)) % 50.95/51.19 (define @t314 () (or @t138 @t312)) % 50.95/51.19 (define @t315 () (forall @t7 (or @t158 @t5))) % 50.95/51.19 (define @t316 () (not (= @t141 tptp.nil))) % 50.95/51.19 (define @t317 () (= @t261 @t316)) % 50.95/51.19 (define @t318 () (not @t57)) % 50.95/51.19 (define @t319 () (or @t281 @t318 @t317)) % 50.95/51.19 (define @t320 () (forall @t308 @t305)) % 50.95/51.19 (define @t321 () (= @t261 @t301)) % 50.95/51.19 (define @t322 () (or @t281 @t318 @t321)) % 50.95/51.19 (define @t323 () (not @t321)) % 50.95/51.19 (define @t324 () (@var "BOUND_VARIABLE_8230" $$unsorted)) % 50.95/51.19 (define @t325 () (@var "BOUND_VARIABLE_8255" $$unsorted)) % 50.95/51.19 (define @t326 () (not (tptp.ssList @t324))) % 50.95/51.19 (define @t327 () (@list @t12 @t324)) % 50.95/51.19 (define @t328 () (= (tptp.memberP @t2 @t325) (not (forall @t327 (or @t198 @t326 (not (= @t2 (tptp.app @t12 (tptp.cons @t325 @t324))))))))) % 50.95/51.19 (define @t329 () (not (tptp.ssItem @t325))) % 50.95/51.19 (define @t330 () (or @t329 @t328)) % 50.95/51.19 (define @t331 () (or @t138 @t330)) % 50.95/51.19 (define @t332 () (forall (@list @t2 @t325) @t331)) % 50.95/51.19 (define @t333 () (@list @t325)) % 50.95/51.19 (define @t334 () (forall @t333 @t331)) % 50.95/51.19 (define @t335 () (forall @t333 @t330)) % 50.95/51.19 (define @t336 () (or @t138 @t335)) % 50.95/51.19 (define @t337 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t324))))) % 50.95/51.19 (define @t338 () (or @t198 @t326 @t337)) % 50.95/51.19 (define @t339 () (= @t22 (not (forall @t327 @t338)))) % 50.95/51.19 (define @t340 () (not @t6)) % 50.95/51.19 (define @t341 () (forall @t7 (or @t340 @t339))) % 50.95/51.19 (define @t342 () (or @t326 @t337)) % 50.95/51.19 (define @t343 () (or @t198 @t342)) % 50.95/51.19 (define @t344 () (forall @t327 @t343)) % 50.95/51.19 (define @t345 () (@list @t324)) % 50.95/51.19 (define @t346 () (forall @t345 @t343)) % 50.95/51.19 (define @t347 () (forall @t345 @t342)) % 50.95/51.19 (define @t348 () (@list @t10)) % 50.95/51.19 (define @t349 () (or @t198 @t347)) % 50.95/51.19 (define @t350 () (= @t2 @t13)) % 50.95/51.19 (define @t351 () (forall @t16 (or @t237 (not @t350)))) % 50.95/51.19 (define @t352 () (not @t351)) % 50.95/51.19 (define @t353 () (and @t18 @t352)) % 50.95/51.19 (define @t354 () (forall @t20 (not @t353))) % 50.95/51.19 (define @t355 () (not @t354)) % 50.95/51.19 (define @t356 () (and @t14 @t350)) % 50.95/51.19 (define @t357 () (forall @t16 (not @t356))) % 50.95/51.19 (define @t358 () (not @t357)) % 50.95/51.19 (define @t359 () (forall @t327 (or @t198 @t326 (not (= @t141 (tptp.app @t12 (tptp.cons @t262 @t324))))))) % 50.95/51.19 (define @t360 () (not @t359)) % 50.95/51.19 (define @t361 () (= @t263 @t360)) % 50.95/51.19 (define @t362 () (or @t281 @t270 @t361)) % 50.95/51.19 (define @t363 () (@quantifiers_skolemize @t359 0)) % 50.95/51.19 (define @t364 () (tptp.ssList @t363)) % 50.95/51.19 (define @t365 () (@quantifiers_skolemize @t359 1)) % 50.95/51.19 (define @t366 () (tptp.cons @t262 @t365)) % 50.95/51.19 (define @t367 () (tptp.app @t363 @t366)) % 50.95/51.19 (define @t368 () (= @t141 @t367)) % 50.95/51.19 (define @t369 () (not @t368)) % 50.95/51.19 (define @t370 () (tptp.ssList @t365)) % 50.95/51.19 (define @t371 () (not @t370)) % 50.95/51.19 (define @t372 () (not @t364)) % 50.95/51.19 (define @t373 () (or @t372 @t371 @t369)) % 50.95/51.19 (define @t374 () (@var "BOUND_VARIABLE_9124" $$unsorted)) % 50.95/51.19 (define @t375 () (tptp.ssList (tptp.cons @t374 @t2))) % 50.95/51.19 (define @t376 () (not (tptp.ssItem @t374))) % 50.95/51.19 (define @t377 () (or @t376 @t375)) % 50.95/51.19 (define @t378 () (or @t138 @t377)) % 50.95/51.19 (define @t379 () (forall (@list @t2 @t374) @t378)) % 50.95/51.19 (define @t380 () (@list @t374)) % 50.95/51.19 (define @t381 () (forall @t380 @t378)) % 50.95/51.19 (define @t382 () (forall @t380 @t377)) % 50.95/51.19 (define @t383 () (or @t138 @t382)) % 50.95/51.19 (define @t384 () (forall @t7 (or @t340 @t53))) % 50.95/51.19 (define @t385 () (@list @t365 @t262)) % 50.95/51.19 (define @t386 () (tptp.ssList @t366)) % 50.95/51.19 (define @t387 () (or @t371 @t270 @t386)) % 50.95/51.19 (define @t388 () (@var "BOUND_VARIABLE_10527" $$unsorted)) % 50.95/51.19 (define @t389 () (= (tptp.cons @t388 @t2) (tptp.app (tptp.cons @t388 tptp.nil) @t2))) % 50.95/51.19 (define @t390 () (not (tptp.ssItem @t388))) % 50.95/51.19 (define @t391 () (or @t390 @t389)) % 50.95/51.19 (define @t392 () (or @t138 @t391)) % 50.95/51.19 (define @t393 () (forall (@list @t2 @t388) @t392)) % 50.95/51.19 (define @t394 () (@list @t388)) % 50.95/51.19 (define @t395 () (forall @t394 @t392)) % 50.95/51.19 (define @t396 () (forall @t394 @t391)) % 50.95/51.19 (define @t397 () (or @t138 @t396)) % 50.95/51.19 (define @t398 () (forall @t7 (or @t340 @t101))) % 50.95/51.19 (define @t399 () (tptp.app @t265 @t365)) % 50.95/51.19 (define @t400 () (= @t366 @t399)) % 50.95/51.19 (define @t401 () (or @t371 @t270 @t400)) % 50.95/51.19 (define @t402 () (@list @t266)) % 50.95/51.19 (define @t403 () (tptp.segmentP @t266 @t266)) % 50.95/51.19 (define @t404 () (or @t283 @t403)) % 50.95/51.19 (define @t405 () (@var "BOUND_VARIABLE_10202" $$unsorted)) % 50.95/51.19 (define @t406 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 50.95/51.19 (define @t407 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 50.95/51.19 (define @t408 () (tptp.segmentP (tptp.app (tptp.app @t407 @t2) @t406) @t405)) % 50.95/51.19 (define @t409 () (not (tptp.ssList @t406))) % 50.95/51.19 (define @t410 () (not (tptp.ssList @t407))) % 50.95/51.19 (define @t411 () (not (tptp.segmentP @t2 @t405))) % 50.95/51.19 (define @t412 () (not (tptp.ssList @t405))) % 50.95/51.19 (define @t413 () (or @t412 @t411 @t410 @t409 @t408)) % 50.95/51.19 (define @t414 () (or @t138 @t413)) % 50.95/51.19 (define @t415 () (forall (@list @t2 @t405 @t407 @t406) @t414)) % 50.95/51.19 (define @t416 () (@list @t405 @t407 @t406)) % 50.95/51.19 (define @t417 () (forall @t416 @t414)) % 50.95/51.19 (define @t418 () (forall @t416 @t413)) % 50.95/51.19 (define @t419 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 50.95/51.19 (define @t420 () (@var "BOUND_VARIABLE_10181" $$unsorted)) % 50.95/51.19 (define @t421 () (or @t138 @t418)) % 50.95/51.19 (define @t422 () (tptp.segmentP (tptp.app (tptp.app @t420 @t2) @t419) @t1)) % 50.95/51.19 (define @t423 () (not (tptp.ssList @t419))) % 50.95/51.19 (define @t424 () (not (tptp.ssList @t420))) % 50.95/51.19 (define @t425 () (not @t35)) % 50.95/51.19 (define @t426 () (or @t158 @t425 @t424 @t423 @t422)) % 50.95/51.19 (define @t427 () (@list @t1 @t420 @t419)) % 50.95/51.19 (define @t428 () (forall @t427 @t426)) % 50.95/51.19 (define @t429 () (or @t424 @t423 @t422)) % 50.95/51.19 (define @t430 () (or @t158 @t425 @t429)) % 50.95/51.19 (define @t431 () (forall @t427 @t430)) % 50.95/51.19 (define @t432 () (@list @t420 @t419)) % 50.95/51.19 (define @t433 () (forall @t432 @t430)) % 50.95/51.19 (define @t434 () (forall @t432 @t429)) % 50.95/51.19 (define @t435 () (@var "BOUND_VARIABLE_10164" $$unsorted)) % 50.95/51.19 (define @t436 () (or @t158 @t425 @t434)) % 50.95/51.19 (define @t437 () (tptp.segmentP (tptp.app @t77 @t435) @t1)) % 50.95/51.19 (define @t438 () (not (tptp.ssList @t435))) % 50.95/51.19 (define @t439 () (or @t198 @t438 @t437)) % 50.95/51.19 (define @t440 () (@list @t12 @t435)) % 50.95/51.19 (define @t441 () (forall @t440 @t439)) % 50.95/51.19 (define @t442 () (or @t158 @t425 @t441)) % 50.95/51.19 (define @t443 () (or @t425 @t441)) % 50.95/51.19 (define @t444 () (or @t438 @t437)) % 50.95/51.19 (define @t445 () (or @t198 @t444)) % 50.95/51.19 (define @t446 () (forall @t440 @t445)) % 50.95/51.19 (define @t447 () (@list @t435)) % 50.95/51.19 (define @t448 () (forall @t447 @t445)) % 50.95/51.19 (define @t449 () (forall @t447 @t444)) % 50.95/51.19 (define @t450 () (or @t198 @t449)) % 50.95/51.19 (define @t451 () (or @t237 @t81)) % 50.95/51.19 (define @t452 () (forall @t16 @t451)) % 50.95/51.19 (define @t453 () (or @t198 @t452)) % 50.95/51.19 (define @t454 () (forall @t20 @t453)) % 50.95/51.19 (define @t455 () (or @t425 @t454)) % 50.95/51.19 (define @t456 () (or @t425 @t453)) % 50.95/51.19 (define @t457 () (or @t198 @t425 @t452)) % 50.95/51.19 (define @t458 () (or @t425 @t452)) % 50.95/51.19 (define @t459 () (or @t425 @t451)) % 50.95/51.19 (define @t460 () (or @t237 @t425 @t81)) % 50.95/51.19 (define @t461 () (tptp.app tptp.nil @t266)) % 50.95/51.19 (define @t462 () (tptp.segmentP (tptp.app @t461 @t365) @t266)) % 50.95/51.19 (define @t463 () (not @t403)) % 50.95/51.19 (define @t464 () (or @t283 @t283 @t463 @t318 @t371 @t462)) % 50.95/51.19 (define @t465 () (= @t2 @t105)) % 50.95/51.19 (define @t466 () (= @t141 (tptp.app @t141 tptp.nil))) % 50.95/51.19 (define @t467 () (or @t281 @t466)) % 50.95/51.19 (define @t468 () (tptp.app @t367 tptp.nil)) % 50.95/51.19 (define @t469 () (tptp.segmentP @t468 @t266)) % 50.95/51.19 (define @t470 () (not @t469)) % 50.95/51.19 (define @t471 () (not @t466)) % 50.95/51.19 (define @t472 () (and @t297 @t466 @t368)) % 50.95/51.19 (define @t473 () (= @t2 @t66)) % 50.95/51.19 (define @t474 () (= @t266 @t461)) % 50.95/51.19 (define @t475 () (or @t283 @t474)) % 50.95/51.19 (define @t476 () (tptp.segmentP @t366 @t266)) % 50.95/51.19 (define @t477 () (and @t267 @t474 @t400 @t462)) % 50.95/51.19 (define @t478 () (not @t476)) % 50.95/51.19 (define @t479 () (not @t386)) % 50.95/51.19 (define @t480 () (or @t479 @t283 @t478 @t372 @t318 @t469)) % 50.95/51.19 (define @t481 () (not @t373)) % 50.95/51.19 (define @t482 () (not @t277)) % 50.95/51.19 (define @t483 () (@list true false)) % 50.95/51.19 (define @t484 () (not @t95)) % 50.95/51.19 (define @t485 () (not @t482)) % 50.95/51.19 (define @t486 () (@list @t271)) % 50.95/51.19 (define @t487 () (tptp.totalorderedP @t265)) % 50.95/51.19 (define @t488 () (or @t270 @t487)) % 50.95/51.19 (define @t489 () (not @t487)) % 50.95/51.19 (define @t490 () (and @t267 @t482)) % 50.95/51.19 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 50.95/51.19 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 50.95/51.19 (assume @p3 @t28) % 50.95/51.19 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 50.95/51.19 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 50.95/51.19 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 50.95/51.19 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 50.95/51.19 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 50.95/51.19 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 50.95/51.19 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 50.95/51.19 (assume @p11 (forall @t9 (=> @t26 (= @t47 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 50.95/51.19 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 50.95/51.19 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t48)))))))))))))))) % 50.95/51.19 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t48))))))))))))) % 50.95/51.19 (assume @p15 @t51) % 50.95/51.19 (assume @p16 @t56) % 50.95/51.19 (assume @p17 @t57) % 50.95/51.19 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t52 @t2))))))) % 50.95/51.19 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t58))))))))))) % 50.95/51.19 (assume @p20 (forall @t9 (=> @t26 (or @t60 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t59 @t2))))))))) % 50.95/51.19 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t52))))))) % 50.95/51.19 (assume @p22 (forall @t9 (=> @t26 (=> @t62 (tptp.ssItem @t61))))) % 50.95/51.19 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t52) @t1)))))) % 50.95/51.19 (assume @p24 (forall @t9 (=> @t26 (=> @t62 (tptp.ssList @t63))))) % 50.95/51.19 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t52) @t2)))))) % 50.95/51.19 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t64)))))) % 50.95/51.19 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t65) (tptp.app @t59 @t2))))))))) % 50.95/51.19 (assume @p28 @t68) % 50.95/51.19 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t70 @t69) @t3)))))) % 50.95/51.19 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t70 @t37) (tptp.leq @t2 @t12))))))))) % 50.95/51.19 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 50.95/51.19 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 @t69)))))) % 50.95/51.19 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t73 (not @t72))))))) % 50.95/51.19 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t73 @t46) @t74)))))))) % 50.95/51.19 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t72)))))) % 50.95/51.19 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t76))))))))) % 50.95/51.19 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t76))))))))) % 50.95/51.19 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 50.95/51.19 (assume @p39 (not (tptp.singletonP tptp.nil))) % 50.95/51.19 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 50.95/51.19 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 50.95/51.19 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 50.95/51.19 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 50.95/51.19 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 50.95/51.19 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 50.95/51.19 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t60)))) % 50.95/51.19 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 50.95/51.19 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 50.95/51.19 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 50.95/51.19 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t77 @t1))))))))) % 50.95/51.19 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 50.95/51.19 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t60)))) % 50.95/51.19 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 50.95/51.19 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t78) @t3)))))) % 50.95/51.19 (assume @p55 @t80) % 50.95/51.19 (assume @p56 @t89) % 50.95/51.19 (assume @p57 @t91) % 50.95/51.19 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t60)))) % 50.95/51.19 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t92)))) % 50.95/51.19 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 50.95/51.19 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t92)))) % 50.95/51.19 (assume @p62 (tptp.totalorderP tptp.nil)) % 50.95/51.19 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t92)))) % 50.95/51.19 (assume @p64 (tptp.strictorderP tptp.nil)) % 50.95/51.19 (assume @p65 @t94) % 50.95/51.19 (assume @p66 @t95) % 50.95/51.19 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 50.95/51.19 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t92)))) % 50.95/51.19 (assume @p69 (tptp.strictorderedP tptp.nil)) % 50.95/51.19 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 50.95/51.19 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t92)))) % 50.95/51.19 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 50.95/51.19 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t92)))) % 50.95/51.19 (assume @p74 (tptp.equalelemsP tptp.nil)) % 50.95/51.19 (assume @p75 (forall @t9 (=> @t26 (=> @t62 (exists @t7 (and @t6 (= @t61 @t1))))))) % 50.95/51.19 (assume @p76 (forall @t9 (=> @t26 (=> @t62 (exists @t7 (and @t32 (= @t63 @t1))))))) % 50.95/51.19 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t98 @t62 (= @t96 @t61) (= (tptp.tl @t1) @t63)) @t58)))))) % 50.95/51.19 (assume @p78 (forall @t9 (=> @t26 (=> @t62 (= (tptp.cons @t61 @t63) @t2))))) % 50.95/51.19 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t64) @t100)))))))) % 50.95/51.19 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t65) @t100)))))))) % 50.95/51.19 (assume @p81 @t104) % 50.95/51.19 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t64 @t12) (tptp.app @t2 @t30))))))))) % 50.95/51.19 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t64) (and @t97 @t60))))))) % 50.95/51.19 (assume @p84 @t107) % 50.95/51.19 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t62 (= (tptp.hd @t64) @t61))))))) % 50.95/51.19 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t62 (= (tptp.tl @t64) (tptp.app @t63 @t1)))))))) % 50.95/51.19 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t71 (tptp.geq @t1 @t2)) @t3)))))) % 50.95/51.19 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t71 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 50.95/51.19 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 50.95/51.19 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 50.95/51.19 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t70 @t46) @t74)))))))) % 50.95/51.19 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (or @t3 @t73))))))) % 50.95/51.19 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 (and @t4 @t70))))))) % 50.95/51.19 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (not (tptp.gt @t1 @t2)))))))) % 50.95/51.19 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 50.95/51.19 (assume @p96 @t131) % 50.95/51.19 (assume @p97 true) % 50.95/51.19 (step @p98 :rule bool-impl-elim :args (@t26 @t90)) % 50.95/51.19 (step @p99 :rule cong :premises (@p98) :args (@t91)) % 50.95/51.19 (step @p100 :rule eq_resolve :premises (@p57 @p99)) % 50.95/51.19 (step @p101 :rule instantiate :premises (@p100) :args (@t142)) % 50.95/51.19 (step @p102 :rule refl :args (@t134)) % 50.95/51.19 (step @p103 :rule eq-symm :args (@t132 tptp.nil)) % 50.95/51.19 (step @p104 :rule refl :args (@t135)) % 50.95/51.19 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t143)) % 50.95/51.19 (step @p106 :rule refl :args (@t136)) % 50.95/51.19 (step @p107 :rule refl :args (@t137)) % 50.95/51.19 (step @p108 :rule refl :args (@t138)) % 50.95/51.19 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p102) :args (@t144)) % 50.95/51.19 (step @p110 :rule aci_norm :args ((= @t146 @t144))) % 50.95/51.19 (step @p111 :rule trans :premises (@p110 @p109)) % 50.95/51.19 (step @p112 :rule cong :premises (@p111) :args (@t147)) % 50.95/51.19 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t149) @t147))) % 50.95/51.19 (step @p114 :rule alpha_equiv :args (@t150 (@list @t132 @t133) (@list @t1 @t151))) % 50.95/51.19 (step @p115 :rule refl :args (@t138)) % 50.95/51.19 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t152)) % 50.95/51.19 (step @p117 :rule quant-miniscope-or :args ((= @t149 @t152))) % 50.95/51.19 (step @p118 :rule trans :premises (@p117 @p116)) % 50.95/51.19 (step @p119 :rule symm :premises (@p118)) % 50.95/51.19 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t161))) % 50.95/51.19 (step @p121 :rule trans :premises (@p120 @p113)) % 50.95/51.19 (step @p122 :rule trans :premises (@p121 @p112)) % 50.95/51.19 (step @p123 :rule aci_norm :args ((= (or @t138 @t161) @t161))) % 50.95/51.19 (step @p124 :rule bool-impl-elim :args (@t26 @t161)) % 50.95/51.19 (step @p125 :rule trans :premises (@p124 @p123)) % 50.95/51.19 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t26 @t161)))) % 50.95/51.19 (step @p127 :rule trans :premises (@p126 @p122)) % 50.95/51.19 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t163) @t160))) % 50.95/51.19 (step @p129 :rule quant-unused-vars :args ((= @t164 @t153))) % 50.95/51.19 (step @p130 :rule alpha_equiv :args (@t165 (@list @t151) @t167)) % 50.95/51.19 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t168)) % 50.95/51.19 (step @p132 :rule quant-miniscope-and :args ((= @t169 @t168))) % 50.95/51.19 (step @p133 :rule trans :premises (@p132 @p131)) % 50.95/51.19 (step @p134 :rule refl :args (@t157)) % 50.95/51.19 (step @p135 :rule refl :args (@t108)) % 50.95/51.19 (step @p136 :rule refl :args (@t158)) % 50.95/51.19 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t170)) % 50.95/51.19 (step @p138 :rule quant-miniscope-or :args ((= @t163 @t170))) % 50.95/51.19 (step @p139 :rule trans :premises (@p138 @p137)) % 50.95/51.19 (step @p140 :rule symm :premises (@p139)) % 50.95/51.19 (step @p141 :rule cong :premises (@p140) :args (@t173)) % 50.95/51.19 (step @p142 :rule trans :premises (@p141 @p128)) % 50.95/51.19 (step @p143 :rule nary_cong :premises (@p108 @p142) :args (@t174)) % 50.95/51.19 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t175) @t174))) % 50.95/51.19 (step @p145 :rule aci_norm :args ((= @t176 @t175))) % 50.95/51.19 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t176))) % 50.95/51.19 (step @p147 :rule trans :premises (@p146 @p144)) % 50.95/51.19 (step @p148 :rule trans :premises (@p147 @p143)) % 50.95/51.19 (step @p149 :rule aci_norm :args ((= (or @t158 @t177) @t176))) % 50.95/51.19 (step @p150 :rule bool-impl-elim :args (@t32 @t177)) % 50.95/51.19 (step @p151 :rule trans :premises (@p150 @p149)) % 50.95/51.19 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 (=> @t32 @t177)))) % 50.95/51.19 (step @p153 :rule trans :premises (@p152 @p148)) % 50.95/51.19 (step @p154 :rule aci_norm :args ((= (or @t108 @t158 (or @t138 @t157 @t171)) @t177))) % 50.95/51.19 (step @p155 :rule quant-unused-vars :args ((= @t180 @t153))) % 50.95/51.19 (step @p156 :rule alpha_equiv :args (@t185 @t186 @t167)) % 50.95/51.19 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t187)) % 50.95/51.19 (step @p158 :rule quant-miniscope-and :args ((= @t189 @t187))) % 50.95/51.19 (step @p159 :rule trans :premises (@p158 @p157)) % 50.95/51.19 (step @p160 :rule refl :args (@t157)) % 50.95/51.19 (step @p161 :rule nary_cong :premises (@p108 @p160 @p159) :args (@t190)) % 50.95/51.19 (step @p162 :rule quant-miniscope-or :args ((= (forall @t179 @t191) @t190))) % 50.95/51.19 (step @p163 :rule trans :premises (@p162 @p161)) % 50.95/51.19 (step @p164 :rule aci_norm :args ((= (or @t138 false @t157 @t188) @t191))) % 50.95/51.19 (step @p165 :rule refl :args (@t188)) % 50.95/51.19 (step @p166 :rule evaluate :args ((not true))) % 50.95/51.19 (step @p167 :rule eq-refl :args (@t2)) % 50.95/51.19 (step @p168 :rule cong :premises (@p167) :args (@t192)) % 50.95/51.19 (step @p169 :rule trans :premises (@p168 @p166)) % 50.95/51.19 (step @p170 :rule nary_cong :premises (@p108 @p169 @p160 @p165) :args (@t193)) % 50.95/51.19 (step @p171 :rule trans :premises (@p170 @p164)) % 50.95/51.19 (step @p172 :rule cong :premises (@p171) :args ((forall @t179 @t193))) % 50.95/51.19 (step @p173 :rule trans :premises (@p172 @p163)) % 50.95/51.19 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not @t100) @t198 @t120 @t197 @t195)) @t193))) % 50.95/51.19 (step @p175 :rule refl :args (@t195)) % 50.95/51.19 (step @p176 :rule refl :args (@t197)) % 50.95/51.19 (step @p177 :rule refl :args (@t120)) % 50.95/51.19 (step @p178 :rule refl :args (@t198)) % 50.95/51.19 (step @p179 :rule eq-symm :args (@t2 @t12)) % 50.95/51.19 (step @p180 :rule cong :premises (@p179) :args (@t120)) % 50.95/51.19 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176 @p175) :args (@t199)) % 50.95/51.19 (step @p182 :rule aci_norm :args ((= @t200 @t199))) % 50.95/51.19 (step @p183 :rule trans :premises (@p182 @p181)) % 50.95/51.19 (step @p184 :rule cong :premises (@p183) :args (@t201)) % 50.95/51.19 (step @p185 :rule trans :premises (@p184 @p174)) % 50.95/51.19 (step @p186 :rule cong :premises (@p185) :args (@t202)) % 50.95/51.19 (step @p187 :rule quant-merge-prenex :args ((= @t202 @t203))) % 50.95/51.19 (step @p188 :rule symm :premises (@p187)) % 50.95/51.19 (step @p189 :rule quant_var_reordering :args ((= @t204 @t203))) % 50.95/51.19 (step @p190 :rule trans :premises (@p189 @p188 @p186)) % 50.95/51.19 (step @p191 :rule trans :premises (@p190 @p173)) % 50.95/51.19 (step @p192 :rule quant-merge-prenex :args ((= (forall @t20 @t205) @t204))) % 50.95/51.19 (step @p193 :rule alpha_equiv :args (@t206 @t186 @t208)) % 50.95/51.19 (step @p194 :rule nary_cong :premises (@p193 @p155) :args (@t209)) % 50.95/51.19 (step @p195 :rule quant-miniscope-and :args ((= @t210 @t209))) % 50.95/51.19 (step @p196 :rule trans :premises (@p195 @p194)) % 50.95/51.19 (step @p197 :rule nary_cong :premises (@p178 @p177 @p176 @p196) :args (@t211)) % 50.95/51.19 (step @p198 :rule quant-miniscope-or :args ((= @t205 @t211))) % 50.95/51.19 (step @p199 :rule trans :premises (@p198 @p197)) % 50.95/51.19 (step @p200 :rule symm :premises (@p199)) % 50.95/51.19 (step @p201 :rule cong :premises (@p200) :args (@t214)) % 50.95/51.19 (step @p202 :rule trans :premises (@p201 @p192)) % 50.95/51.19 (step @p203 :rule trans :premises (@p202 @p191)) % 50.95/51.19 (step @p204 :rule refl :args (@t158)) % 50.95/51.19 (step @p205 :rule refl :args (@t108)) % 50.95/51.19 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203) :args (@t215)) % 50.95/51.19 (step @p207 :rule trans :premises (@p206 @p154)) % 50.95/51.19 (step @p208 :rule quant-miniscope-or :args ((= (forall @t20 @t216) @t215))) % 50.95/51.19 (step @p209 :rule aci_norm :args ((= @t217 @t216))) % 50.95/51.19 (step @p210 :rule cong :premises (@p209) :args ((forall @t20 @t217))) % 50.95/51.19 (step @p211 :rule trans :premises (@p210 @p208)) % 50.95/51.19 (step @p212 :rule trans :premises (@p211 @p207)) % 50.95/51.19 (step @p213 :rule aci_norm :args ((= (or @t198 @t218) @t217))) % 50.95/51.19 (step @p214 :rule bool-impl-elim :args (@t18 @t218)) % 50.95/51.19 (step @p215 :rule trans :premises (@p214 @p213)) % 50.95/51.19 (step @p216 :rule cong :premises (@p215) :args ((forall @t20 (=> @t18 @t218)))) % 50.95/51.19 (step @p217 :rule trans :premises (@p216 @p212)) % 50.95/51.19 (step @p218 :rule aci_norm :args ((= (or @t120 @t108 (or @t158 @t197 @t212)) @t218))) % 50.95/51.19 (step @p219 :rule quant-unused-vars :args ((= @t221 @t153))) % 50.95/51.19 (step @p220 :rule alpha_equiv :args (@t225 @t226 @t208)) % 50.95/51.19 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t227)) % 50.95/51.19 (step @p222 :rule quant-miniscope-and :args ((= @t229 @t227))) % 50.95/51.19 (step @p223 :rule trans :premises (@p222 @p221)) % 50.95/51.19 (step @p224 :rule refl :args (@t197)) % 50.95/51.19 (step @p225 :rule nary_cong :premises (@p204 @p224 @p223) :args (@t230)) % 50.95/51.19 (step @p226 :rule quant-miniscope-or :args ((= (forall @t220 @t231) @t230))) % 50.95/51.19 (step @p227 :rule trans :premises (@p226 @p225)) % 50.95/51.19 (step @p228 :rule aci_norm :args ((= (or @t158 false @t197 @t228) @t231))) % 50.95/51.19 (step @p229 :rule refl :args (@t228)) % 50.95/51.19 (step @p230 :rule eq-refl :args (@t1)) % 50.95/51.19 (step @p231 :rule cong :premises (@p230) :args (@t232)) % 50.95/51.19 (step @p232 :rule trans :premises (@p231 @p166)) % 50.95/51.19 (step @p233 :rule nary_cong :premises (@p204 @p232 @p224 @p229) :args (@t233)) % 50.95/51.19 (step @p234 :rule trans :premises (@p233 @p228)) % 50.95/51.19 (step @p235 :rule cong :premises (@p234) :args ((forall @t220 @t233))) % 50.95/51.19 (step @p236 :rule trans :premises (@p235 @p227)) % 50.95/51.19 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t10 @t1)) @t237 @t121 @t236 @t235)) @t233))) % 50.95/51.19 (step @p238 :rule refl :args (@t235)) % 50.95/51.19 (step @p239 :rule refl :args (@t236)) % 50.95/51.19 (step @p240 :rule refl :args (@t121)) % 50.95/51.19 (step @p241 :rule refl :args (@t237)) % 50.95/51.19 (step @p242 :rule eq-symm :args (@t1 @t10)) % 50.95/51.19 (step @p243 :rule cong :premises (@p242) :args (@t121)) % 50.95/51.19 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240 @p239 @p238) :args (@t238)) % 50.95/51.19 (step @p245 :rule aci_norm :args ((= @t239 @t238))) % 50.95/51.19 (step @p246 :rule trans :premises (@p245 @p244)) % 50.95/51.19 (step @p247 :rule cong :premises (@p246) :args (@t240)) % 50.95/51.19 (step @p248 :rule trans :premises (@p247 @p237)) % 50.95/51.19 (step @p249 :rule cong :premises (@p248) :args (@t241)) % 50.95/51.19 (step @p250 :rule quant-merge-prenex :args ((= @t241 @t242))) % 50.95/51.19 (step @p251 :rule symm :premises (@p250)) % 50.95/51.19 (step @p252 :rule quant_var_reordering :args ((= @t243 @t242))) % 50.95/51.19 (step @p253 :rule trans :premises (@p252 @p251 @p249)) % 50.95/51.19 (step @p254 :rule trans :premises (@p253 @p236)) % 50.95/51.19 (step @p255 :rule quant-merge-prenex :args ((= (forall @t16 @t244) @t243))) % 50.95/51.19 (step @p256 :rule quant-unused-vars :args ((= @t245 @t109))) % 50.95/51.19 (step @p257 :rule alpha_equiv :args (@t246 @t226 (@list @t39))) % 50.95/51.19 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t247)) % 50.95/51.19 (step @p259 :rule quant-miniscope-and :args ((= @t248 @t247))) % 50.95/51.19 (step @p260 :rule trans :premises (@p259 @p258)) % 50.95/51.19 (step @p261 :rule nary_cong :premises (@p241 @p240 @p239 @p260) :args (@t249)) % 50.95/51.19 (step @p262 :rule quant-miniscope-or :args ((= @t244 @t249))) % 50.95/51.19 (step @p263 :rule trans :premises (@p262 @p261)) % 50.95/51.19 (step @p264 :rule symm :premises (@p263)) % 50.95/51.19 (step @p265 :rule cong :premises (@p264) :args (@t255)) % 50.95/51.19 (step @p266 :rule trans :premises (@p265 @p255)) % 50.95/51.19 (step @p267 :rule trans :premises (@p266 @p254)) % 50.95/51.19 (step @p268 :rule refl :args (@t120)) % 50.95/51.19 (step @p269 :rule nary_cong :premises (@p268 @p205 @p267) :args (@t256)) % 50.95/51.19 (step @p270 :rule trans :premises (@p269 @p218)) % 50.95/51.19 (step @p271 :rule quant-miniscope-or :args ((= (forall @t16 @t257) @t256))) % 50.95/51.19 (step @p272 :rule aci_norm :args ((= @t258 @t257))) % 50.95/51.19 (step @p273 :rule cong :premises (@p272) :args ((forall @t16 @t258))) % 50.95/51.19 (step @p274 :rule trans :premises (@p273 @p271)) % 50.95/51.19 (step @p275 :rule trans :premises (@p274 @p270)) % 50.95/51.19 (step @p276 :rule aci_norm :args ((= (or @t237 @t259) @t258))) % 50.95/51.19 (step @p277 :rule bool-impl-elim :args (@t14 @t259)) % 50.95/51.19 (step @p278 :rule trans :premises (@p277 @p276)) % 50.95/51.19 (step @p279 :rule cong :premises (@p278) :args ((forall @t16 (=> @t14 @t259)))) % 50.95/51.19 (step @p280 :rule trans :premises (@p279 @p275)) % 50.95/51.19 (step @p281 :rule refl :args (@t109)) % 50.95/51.19 (step @p282 :rule aci_norm :args ((= (or @t251 @t260) @t252))) % 50.95/51.19 (step @p283 :rule bool-impl-elim :args (@t114 @t260)) % 50.95/51.19 (step @p284 :rule trans :premises (@p283 @p282)) % 50.95/51.19 (step @p285 :rule cong :premises (@p284) :args ((forall @t44 (=> @t114 @t260)))) % 50.95/51.19 (step @p286 :rule refl :args (@t110)) % 50.95/51.19 (step @p287 :rule eq-symm :args (@t111 @t12)) % 50.95/51.19 (step @p288 :rule cong :premises (@p287) :args (@t112)) % 50.95/51.19 (step @p289 :rule nary_cong :premises (@p288 @p286) :args (@t113)) % 50.95/51.19 (step @p290 :rule refl :args (@t114)) % 50.95/51.19 (step @p291 :rule cong :premises (@p290 @p289) :args (@t115)) % 50.95/51.19 (step @p292 :rule cong :premises (@p291) :args (@t116)) % 50.95/51.19 (step @p293 :rule trans :premises (@p292 @p285)) % 50.95/51.19 (step @p294 :rule nary_cong :premises (@p293 @p281) :args (@t117)) % 50.95/51.19 (step @p295 :rule eq-symm :args (tptp.nil @t10)) % 50.95/51.19 (step @p296 :rule eq-symm :args (tptp.nil @t12)) % 50.95/51.19 (step @p297 :rule cong :premises (@p296) :args (@t118)) % 50.95/51.19 (step @p298 :rule nary_cong :premises (@p297 @p295) :args (@t119)) % 50.95/51.19 (step @p299 :rule refl :args (@t121)) % 50.95/51.19 (step @p300 :rule nary_cong :premises (@p299 @p268 @p298 @p294 @p205) :args (@t122)) % 50.95/51.19 (step @p301 :rule refl :args (@t14)) % 50.95/51.19 (step @p302 :rule cong :premises (@p301 @p300) :args (@t123)) % 50.95/51.19 (step @p303 :rule cong :premises (@p302) :args (@t124)) % 50.95/51.19 (step @p304 :rule trans :premises (@p303 @p280)) % 50.95/51.19 (step @p305 :rule refl :args (@t18)) % 50.95/51.19 (step @p306 :rule cong :premises (@p305 @p304) :args (@t125)) % 50.95/51.19 (step @p307 :rule cong :premises (@p306) :args (@t126)) % 50.95/51.19 (step @p308 :rule trans :premises (@p307 @p217)) % 50.95/51.19 (step @p309 :rule refl :args (@t32)) % 50.95/51.19 (step @p310 :rule cong :premises (@p309 @p308) :args (@t127)) % 50.95/51.19 (step @p311 :rule cong :premises (@p310) :args (@t128)) % 50.95/51.19 (step @p312 :rule trans :premises (@p311 @p153)) % 50.95/51.19 (step @p313 :rule refl :args (@t26)) % 50.95/51.19 (step @p314 :rule cong :premises (@p313 @p312) :args (@t129)) % 50.95/51.19 (step @p315 :rule cong :premises (@p314) :args (@t130)) % 50.95/51.19 (step @p316 :rule trans :premises (@p315 @p127)) % 50.95/51.19 (step @p317 :rule cong :premises (@p316) :args (@t131)) % 50.95/51.19 (step @p318 :rule eq_resolve :premises (@p96 @p317)) % 50.95/51.19 (step @p319 :rule refl :args (@t285)) % 50.95/51.19 (step @p320 :rule bool-double-not-elim :args (@t140)) % 50.95/51.19 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t286) @t285))) % 50.95/51.19 (step @p322 :rule refl :args (@t272)) % 50.95/51.19 (step @p323 :rule refl :args (@t273)) % 50.95/51.19 (step @p324 :rule eq-symm :args (@t266 tptp.nil)) % 50.95/51.19 (step @p325 :rule cong :premises (@p324) :args (@t287)) % 50.95/51.19 (step @p326 :rule nary_cong :premises (@p325 @p323) :args (@t288)) % 50.95/51.19 (step @p327 :rule refl :args (@t279)) % 50.95/51.19 (step @p328 :rule refl :args (@t281)) % 50.95/51.19 (step @p329 :rule refl :args (@t283)) % 50.95/51.19 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327 @p326 @p322) :args (@t289)) % 50.95/51.19 (step @p331 :rule cong :premises (@p330) :args (@t290)) % 50.95/51.19 (step @p332 :rule refl :args (@t286)) % 50.95/51.19 (step @p333 :rule cong :premises (@p332 @p331) :args ((=> @t286 @t290))) % 50.95/51.19 (assume-push @p841 @t286) % 50.95/51.19 (step @p335 :rule skolemize :premises (@p318)) % 50.95/51.19 (step-pop @p842 :rule scope :premises (@p335)) % 50.95/51.19 (step @p336 :rule process_scope :premises (@p842) :args (@t290)) % 50.95/51.19 (step @p338 :rule eq_resolve :premises (@p336 @p333)) % 50.95/51.19 (step @p339 :rule implies_elim :premises (@p338)) % 50.95/51.19 (step @p340 :rule eq_resolve :premises (@p339 @p321)) % 50.95/51.19 (step @p341 :rule chain_m_resolution :premises (@p340 @p318) :args (@t285 @t291 (@list @t140))) % 50.95/51.19 (step @p342 :rule bool-double-not-elim :args (@t280)) % 50.95/51.19 (step @p343 :rule refl :args (@t284)) % 50.95/51.19 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t284 (not @t281)))) % 50.95/51.19 (step @p345 :rule cnf_or_neg :args (@t284 1)) % 50.95/51.19 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 50.95/51.19 (step @p347 :rule reordering :premises (@p346) :args ((or @t280 @t284))) % 50.95/51.19 (step @p348 :rule chain_m_resolution :premises (@p347 @p341) :args (@t280 @t291 @t292)) % 50.95/51.19 (step @p349 :rule cnf_or_pos :args (@t294)) % 50.95/51.19 (step @p350 :rule reordering :premises (@p349) :args ((or @t281 @t293 (not @t294)))) % 50.95/51.19 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p101) :args (@t293 @t295 (@list @t280 @t294))) % 50.95/51.19 (step @p352 :rule refl :args (@t296)) % 50.95/51.19 (step @p353 :rule bool-double-not-elim :args (@t278)) % 50.95/51.19 (step @p354 :rule refl :args (@t275)) % 50.95/51.19 (step @p355 :rule nary_cong :premises (@p354 @p353 @p352) :args ((or @t275 @t298 @t296))) % 50.95/51.19 (assume-push @p843 @t293) % 50.95/51.19 (assume-push @p844 @t274) % 50.95/51.19 (assume-push @p845 @t297) % 50.95/51.19 (step @p359 :rule evaluate :args (@t299)) % 50.95/51.19 (step @p360 :rule true_intro :premises (@p351)) % 50.95/51.19 (step @p361 :rule symm :premises (@p844)) % 50.95/51.19 (step @p362 :rule refl :args (@t141)) % 50.95/51.19 (step @p363 :rule cong :premises (@p362 @p361) :args (@t278)) % 50.95/51.19 (step @p364 :rule false_intro :premises (@p845)) % 50.95/51.19 (step @p365 :rule symm :premises (@p364)) % 50.95/51.19 (step @p366 :rule trans :premises (@p365 @p363 @p360)) % 50.95/51.19 (step @p367 false :rule eq_resolve :premises (@p366 @p359)) % 50.95/51.19 (step-pop @p846 :rule scope :premises (@p367)) % 50.95/51.19 (step-pop @p847 :rule scope :premises (@p846)) % 50.95/51.19 (step-pop @p848 :rule scope :premises (@p847)) % 50.95/51.19 (step @p368 :rule process_scope :premises (@p848) :args (false)) % 50.95/51.19 (assume-push @p849 @t274) % 50.95/51.19 (assume-push @p850 @t297) % 50.95/51.19 (assume-push @p851 @t293) % 50.95/51.19 (step @p375 :rule and_intro :premises (@p351 @p849 @p850)) % 50.95/51.19 (step-pop @p852 :rule scope :premises (@p375)) % 50.95/51.19 (step-pop @p853 :rule scope :premises (@p852)) % 50.95/51.19 (step-pop @p854 :rule scope :premises (@p853)) % 50.95/51.19 (step @p376 :rule process_scope :premises (@p854) :args (@t300)) % 50.95/51.19 (step @p380 :rule implies_elim :premises (@p376)) % 50.95/51.19 (step @p381 :rule resolution :premises (@p380 @p368) :args (true @t300)) % 50.95/51.19 (step @p382 :rule not_and :premises (@p381)) % 50.95/51.19 (step @p383 :rule eq_resolve :premises (@p382 @p355)) % 50.95/51.19 (step @p384 :rule reordering :premises (@p383) :args ((or @t278 @t275 @t296))) % 50.95/51.19 (step @p385 :rule cnf_or_neg :args (@t284 3)) % 50.95/51.19 (step @p386 :rule chain_m_resolution :premises (@p385 @p341) :args ((not @t276) @t291 @t292)) % 50.95/51.19 (step @p387 :rule refl :args (@t301)) % 50.95/51.19 (step @p388 :rule bool-double-not-elim :args (@t274)) % 50.95/51.19 (step @p389 :rule refl :args (@t276)) % 50.95/51.19 (step @p390 :rule nary_cong :premises (@p389 @p388 @p387) :args ((or @t276 (not @t275) @t301))) % 50.95/51.19 (step @p391 :rule cnf_and_neg :args (@t276)) % 50.95/51.19 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 50.95/51.19 (step @p393 :rule reordering :premises (@p392) :args ((or @t274 @t276 @t301))) % 50.95/51.19 (step @p394 :rule aci_norm :args ((= @t307 @t305))) % 50.95/51.19 (step @p395 :rule cong :premises (@p394) :args (@t309)) % 50.95/51.19 (step @p396 :rule quant-merge-prenex :args ((= (forall @t9 @t311) @t309))) % 50.95/51.19 (step @p397 :rule alpha_equiv :args (@t312 (@list @t302) @t313)) % 50.95/51.19 (step @p398 :rule nary_cong :premises (@p115 @p397) :args (@t314)) % 50.95/51.19 (step @p399 :rule quant-miniscope-or :args ((= @t311 @t314))) % 50.95/51.19 (step @p400 :rule trans :premises (@p399 @p398)) % 50.95/51.19 (step @p401 :rule symm :premises (@p400)) % 50.95/51.19 (step @p402 :rule cong :premises (@p401) :args ((forall @t9 (or @t138 @t315)))) % 50.95/51.19 (step @p403 :rule trans :premises (@p402 @p396)) % 50.95/51.19 (step @p404 :rule trans :premises (@p403 @p395)) % 50.95/51.19 (step @p405 :rule bool-impl-elim :args (@t26 @t315)) % 50.95/51.19 (step @p406 :rule cong :premises (@p405) :args ((forall @t9 (=> @t26 @t315)))) % 50.95/51.19 (step @p407 :rule trans :premises (@p406 @p404)) % 50.95/51.19 (step @p408 :rule bool-impl-elim :args (@t32 @t5)) % 50.95/51.19 (step @p409 :rule cong :premises (@p408) :args (@t49)) % 50.95/51.19 (step @p410 :rule cong :premises (@p313 @p409) :args (@t50)) % 50.95/51.19 (step @p411 :rule cong :premises (@p410) :args (@t51)) % 50.95/51.19 (step @p412 :rule trans :premises (@p411 @p407)) % 50.95/51.19 (step @p413 :rule eq_resolve :premises (@p15 @p412)) % 50.95/51.19 (step @p414 :rule eq-symm :args (@t141 tptp.nil)) % 50.95/51.19 (step @p415 :rule cong :premises (@p414) :args (@t316)) % 50.95/51.19 (step @p416 :rule refl :args (@t261)) % 50.95/51.19 (step @p417 :rule cong :premises (@p416 @p415) :args (@t317)) % 50.95/51.19 (step @p418 :rule refl :args (@t318)) % 50.95/51.19 (step @p419 :rule nary_cong :premises (@p328 @p418 @p417) :args (@t319)) % 50.95/51.19 (step @p420 :rule refl :args (@t320)) % 50.95/51.19 (step @p421 :rule cong :premises (@p420 @p419) :args ((=> @t320 @t319))) % 50.95/51.19 (assume-push @p855 @t320) % 50.95/51.19 (step @p423 :rule instantiate :premises (@p413) :args ((@list @t141 tptp.nil))) % 50.95/51.19 (step-pop @p856 :rule scope :premises (@p423)) % 50.95/51.19 (step @p424 :rule process_scope :premises (@p856) :args (@t319)) % 50.95/51.19 (step @p426 :rule eq_resolve :premises (@p424 @p421)) % 50.95/51.19 (step @p427 :rule implies_elim :premises (@p426)) % 50.95/51.19 (step @p428 :rule chain_m_resolution :premises (@p427 @p413) :args (@t322 (@list false) (@list @t320))) % 50.95/51.19 (step @p429 :rule cnf_or_pos :args (@t322)) % 50.95/51.19 (step @p430 :rule reordering :premises (@p429) :args ((or @t318 @t281 @t321 (not @t322)))) % 50.95/51.19 (step @p431 :rule chain_m_resolution :premises (@p430 @p17 @p348 @p428) :args (@t321 (@list false false false) (@list @t57 @t280 @t322))) % 50.95/51.19 (step @p432 :rule bool-double-not-elim :args (@t273)) % 50.95/51.19 (step @p433 :rule refl :args (@t323)) % 50.95/51.19 (step @p434 :rule nary_cong :premises (@p433 @p416 @p432) :args ((or @t323 @t261 (not @t301)))) % 50.95/51.19 (step @p435 :rule cnf_equiv_pos2 :args (@t321)) % 50.95/51.19 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 50.95/51.19 (step @p437 :rule reordering :premises (@p436) :args ((or @t273 @t261 @t323))) % 50.95/51.19 (step @p438 :rule cnf_or_neg :args (@t284 4)) % 50.95/51.19 (step @p439 :rule chain_m_resolution :premises (@p438 @p341) :args ((not @t272) @t291 @t292)) % 50.95/51.19 (step @p440 :rule cnf_and_neg :args (@t272)) % 50.95/51.19 (step @p441 :rule bool-double-not-elim :args (@t269)) % 50.95/51.19 (step @p442 :rule refl :args (@t271)) % 50.95/51.19 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or @t271 (not @t270)))) % 50.95/51.19 (step @p444 :rule cnf_or_neg :args (@t271 0)) % 50.95/51.19 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 50.95/51.19 (step @p446 :rule reordering :premises (@p445) :args ((or @t269 @t271))) % 50.95/51.19 (step @p447 :rule bool-double-not-elim :args (@t267)) % 50.95/51.19 (step @p448 :rule nary_cong :premises (@p442 @p447) :args ((or @t271 (not @t268)))) % 50.95/51.19 (step @p449 :rule cnf_or_neg :args (@t271 1)) % 50.95/51.19 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 50.95/51.19 (step @p451 :rule reordering :premises (@p450) :args ((or @t267 @t271))) % 50.95/51.19 (step @p452 :rule bool-double-not-elim :args (@t263)) % 50.95/51.19 (step @p453 :rule nary_cong :premises (@p442 @p452) :args ((or @t271 (not @t264)))) % 50.95/51.19 (step @p454 :rule cnf_or_neg :args (@t271 2)) % 50.95/51.19 (step @p455 :rule eq_resolve :premises (@p454 @p453)) % 50.95/51.19 (step @p456 :rule reordering :premises (@p455) :args ((or @t263 @t271))) % 50.95/51.19 (step @p457 :rule aci_norm :args ((= @t331 (or @t138 @t329 @t328)))) % 50.95/51.19 (step @p458 :rule cong :premises (@p457) :args (@t332)) % 50.95/51.19 (step @p459 :rule quant-merge-prenex :args ((= (forall @t9 @t334) @t332))) % 50.95/51.19 (step @p460 :rule alpha_equiv :args (@t335 (@list @t325) @t313)) % 50.95/51.19 (step @p461 :rule nary_cong :premises (@p115 @p460) :args (@t336)) % 50.95/51.19 (step @p462 :rule quant-miniscope-or :args ((= @t334 @t336))) % 50.95/51.19 (step @p463 :rule trans :premises (@p462 @p461)) % 50.95/51.19 (step @p464 :rule symm :premises (@p463)) % 50.95/51.19 (step @p465 :rule cong :premises (@p464) :args ((forall @t9 (or @t138 @t341)))) % 50.95/51.19 (step @p466 :rule trans :premises (@p465 @p459)) % 50.95/51.19 (step @p467 :rule trans :premises (@p466 @p458)) % 50.95/51.19 (step @p468 :rule bool-impl-elim :args (@t26 @t341)) % 50.95/51.19 (step @p469 :rule cong :premises (@p468) :args ((forall @t9 (=> @t26 @t341)))) % 50.95/51.19 (step @p470 :rule trans :premises (@p469 @p467)) % 50.95/51.19 (step @p471 :rule bool-impl-elim :args (@t6 @t339)) % 50.95/51.19 (step @p472 :rule cong :premises (@p471) :args ((forall @t7 (=> @t6 @t339)))) % 50.95/51.19 (step @p473 :rule aci_norm :args ((= @t343 @t338))) % 50.95/51.19 (step @p474 :rule cong :premises (@p473) :args (@t344)) % 50.95/51.19 (step @p475 :rule quant-merge-prenex :args ((= (forall @t20 @t346) @t344))) % 50.95/51.19 (step @p476 :rule alpha_equiv :args (@t347 (@list @t324) @t348)) % 50.95/51.19 (step @p477 :rule nary_cong :premises (@p178 @p476) :args (@t349)) % 50.95/51.19 (step @p478 :rule quant-miniscope-or :args ((= @t346 @t349))) % 50.95/51.19 (step @p479 :rule trans :premises (@p478 @p477)) % 50.95/51.19 (step @p480 :rule symm :premises (@p479)) % 50.95/51.19 (step @p481 :rule cong :premises (@p480) :args ((forall @t20 (or @t198 @t351)))) % 50.95/51.19 (step @p482 :rule trans :premises (@p481 @p475)) % 50.95/51.19 (step @p483 :rule trans :premises (@p482 @p474)) % 50.95/51.19 (step @p484 :rule bool-double-not-elim :args (@t351)) % 50.95/51.19 (step @p485 :rule nary_cong :premises (@p178 @p484) :args ((or @t198 (not @t352)))) % 50.95/51.19 (step @p486 :rule bool-and-de-morgan :args (@t18 @t352 true)) % 50.95/51.19 (step @p487 :rule trans :premises (@p486 @p485)) % 50.95/51.19 (step @p488 :rule cong :premises (@p487) :args (@t354)) % 50.95/51.19 (step @p489 :rule trans :premises (@p488 @p483)) % 50.95/51.19 (step @p490 :rule cong :premises (@p489) :args (@t355)) % 50.95/51.19 (step @p491 :rule exists-elim :args ((= (exists @t20 @t353) @t355))) % 50.95/51.19 (step @p492 :rule trans :premises (@p491 @p490)) % 50.95/51.19 (step @p493 :rule bool-and-de-morgan :args (@t14 @t350 true)) % 50.95/51.19 (step @p494 :rule cong :premises (@p493) :args (@t357)) % 50.95/51.19 (step @p495 :rule cong :premises (@p494) :args (@t358)) % 50.95/51.19 (step @p496 :rule exists-elim :args ((= (exists @t16 @t356) @t358))) % 50.95/51.19 (step @p497 :rule trans :premises (@p496 @p495)) % 50.95/51.19 (step @p498 :rule eq-symm :args (@t13 @t2)) % 50.95/51.19 (step @p499 :rule nary_cong :premises (@p301 @p498) :args (@t15)) % 50.95/51.19 (step @p500 :rule cong :premises (@p499) :args (@t17)) % 50.95/51.19 (step @p501 :rule trans :premises (@p500 @p497)) % 50.95/51.19 (step @p502 :rule nary_cong :premises (@p305 @p501) :args (@t19)) % 50.95/51.19 (step @p503 :rule cong :premises (@p502) :args (@t21)) % 50.95/51.19 (step @p504 :rule trans :premises (@p503 @p492)) % 50.95/51.19 (step @p505 :rule refl :args (@t22)) % 50.95/51.19 (step @p506 :rule cong :premises (@p505 @p504) :args (@t23)) % 50.95/51.19 (step @p507 :rule refl :args (@t6)) % 50.95/51.19 (step @p508 :rule cong :premises (@p507 @p506) :args (@t24)) % 50.95/51.19 (step @p509 :rule cong :premises (@p508) :args (@t25)) % 50.95/51.19 (step @p510 :rule trans :premises (@p509 @p472)) % 50.95/51.19 (step @p511 :rule cong :premises (@p313 @p510) :args (@t27)) % 50.95/51.19 (step @p512 :rule cong :premises (@p511) :args (@t28)) % 50.95/51.19 (step @p513 :rule trans :premises (@p512 @p470)) % 50.95/51.19 (step @p514 :rule eq_resolve :premises (@p3 @p513)) % 50.95/51.19 (step @p515 :rule instantiate :premises (@p514) :args ((@list @t141 @t262))) % 50.95/51.19 (step @p516 :rule cnf_or_pos :args (@t362)) % 50.95/51.19 (step @p517 :rule reordering :premises (@p516) :args ((or @t281 @t270 @t361 (not @t362)))) % 50.95/51.19 (step @p518 :rule bool-double-not-elim :args (@t364)) % 50.95/51.19 (step @p519 :rule refl :args (@t373)) % 50.95/51.19 (step @p520 :rule nary_cong :premises (@p519 @p518) :args ((or @t373 (not @t372)))) % 50.95/51.19 (step @p521 :rule cnf_or_neg :args (@t373 0)) % 50.95/51.19 (step @p522 :rule eq_resolve :premises (@p521 @p520)) % 50.95/51.19 (step @p523 :rule reordering :premises (@p522) :args ((or @t364 @t373))) % 50.95/51.19 (step @p524 :rule bool-double-not-elim :args (@t370)) % 50.95/51.19 (step @p525 :rule nary_cong :premises (@p519 @p524) :args ((or @t373 (not @t371)))) % 50.95/51.19 (step @p526 :rule cnf_or_neg :args (@t373 1)) % 50.95/51.19 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 50.95/51.19 (step @p528 :rule reordering :premises (@p527) :args ((or @t370 @t373))) % 50.95/51.19 (step @p529 :rule bool-double-not-elim :args (@t368)) % 50.95/51.19 (step @p530 :rule nary_cong :premises (@p519 @p529) :args ((or @t373 (not @t369)))) % 50.95/51.19 (step @p531 :rule cnf_or_neg :args (@t373 2)) % 50.95/51.19 (step @p532 :rule eq_resolve :premises (@p531 @p530)) % 50.95/51.19 (step @p533 :rule reordering :premises (@p532) :args ((or @t368 @t373))) % 50.95/51.19 (step @p534 :rule aci_norm :args ((= @t378 (or @t138 @t376 @t375)))) % 50.95/51.19 (step @p535 :rule cong :premises (@p534) :args (@t379)) % 50.95/51.19 (step @p536 :rule quant-merge-prenex :args ((= (forall @t9 @t381) @t379))) % 50.95/51.19 (step @p537 :rule alpha_equiv :args (@t382 (@list @t374) @t313)) % 50.95/51.19 (step @p538 :rule nary_cong :premises (@p115 @p537) :args (@t383)) % 50.95/51.19 (step @p539 :rule quant-miniscope-or :args ((= @t381 @t383))) % 50.95/51.19 (step @p540 :rule trans :premises (@p539 @p538)) % 50.95/51.19 (step @p541 :rule symm :premises (@p540)) % 50.95/51.19 (step @p542 :rule cong :premises (@p541) :args ((forall @t9 (or @t138 @t384)))) % 50.95/51.19 (step @p543 :rule trans :premises (@p542 @p536)) % 50.95/51.19 (step @p544 :rule trans :premises (@p543 @p535)) % 50.95/51.19 (step @p545 :rule bool-impl-elim :args (@t26 @t384)) % 50.95/51.19 (step @p546 :rule cong :premises (@p545) :args ((forall @t9 (=> @t26 @t384)))) % 50.95/51.19 (step @p547 :rule trans :premises (@p546 @p544)) % 50.95/51.19 (step @p548 :rule bool-impl-elim :args (@t6 @t53)) % 50.95/51.19 (step @p549 :rule cong :premises (@p548) :args (@t54)) % 50.95/51.19 (step @p550 :rule cong :premises (@p313 @p549) :args (@t55)) % 50.95/51.19 (step @p551 :rule cong :premises (@p550) :args (@t56)) % 50.95/51.19 (step @p552 :rule trans :premises (@p551 @p547)) % 50.95/51.19 (step @p553 :rule eq_resolve :premises (@p16 @p552)) % 50.95/51.19 (step @p554 :rule instantiate :premises (@p553) :args (@t385)) % 50.95/51.19 (step @p555 :rule cnf_or_pos :args (@t387)) % 50.95/51.19 (step @p556 :rule reordering :premises (@p555) :args ((or @t270 @t371 @t386 (not @t387)))) % 50.95/51.19 (step @p557 :rule aci_norm :args ((= @t392 (or @t138 @t390 @t389)))) % 50.95/51.19 (step @p558 :rule cong :premises (@p557) :args (@t393)) % 50.95/51.19 (step @p559 :rule quant-merge-prenex :args ((= (forall @t9 @t395) @t393))) % 50.95/51.19 (step @p560 :rule alpha_equiv :args (@t396 (@list @t388) @t313)) % 50.95/51.19 (step @p561 :rule nary_cong :premises (@p115 @p560) :args (@t397)) % 50.95/51.19 (step @p562 :rule quant-miniscope-or :args ((= @t395 @t397))) % 50.95/51.19 (step @p563 :rule trans :premises (@p562 @p561)) % 50.95/51.19 (step @p564 :rule symm :premises (@p563)) % 50.95/51.19 (step @p565 :rule cong :premises (@p564) :args ((forall @t9 (or @t138 @t398)))) % 50.95/51.19 (step @p566 :rule trans :premises (@p565 @p559)) % 50.95/51.19 (step @p567 :rule trans :premises (@p566 @p558)) % 50.95/51.19 (step @p568 :rule bool-impl-elim :args (@t26 @t398)) % 50.95/51.19 (step @p569 :rule cong :premises (@p568) :args ((forall @t9 (=> @t26 @t398)))) % 50.95/51.19 (step @p570 :rule trans :premises (@p569 @p567)) % 50.95/51.19 (step @p571 :rule bool-impl-elim :args (@t6 @t101)) % 50.95/51.19 (step @p572 :rule cong :premises (@p571) :args (@t102)) % 50.95/51.19 (step @p573 :rule cong :premises (@p313 @p572) :args (@t103)) % 50.95/51.19 (step @p574 :rule cong :premises (@p573) :args (@t104)) % 50.95/51.19 (step @p575 :rule trans :premises (@p574 @p570)) % 50.95/51.19 (step @p576 :rule eq_resolve :premises (@p81 @p575)) % 50.95/51.19 (step @p577 :rule instantiate :premises (@p576) :args (@t385)) % 50.95/51.19 (step @p578 :rule cnf_or_pos :args (@t401)) % 50.95/51.19 (step @p579 :rule reordering :premises (@p578) :args ((or @t270 @t371 @t400 (not @t401)))) % 50.95/51.19 (step @p580 :rule bool-double-not-elim :args (@t282)) % 50.95/51.19 (step @p581 :rule nary_cong :premises (@p343 @p580) :args ((or @t284 (not @t283)))) % 50.95/51.19 (step @p582 :rule cnf_or_neg :args (@t284 0)) % 50.95/51.19 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 50.95/51.19 (step @p584 :rule reordering :premises (@p583) :args ((or @t282 @t284))) % 50.95/51.19 (step @p585 :rule chain_m_resolution :premises (@p584 @p341) :args (@t282 @t291 @t292)) % 50.95/51.19 (step @p586 :rule bool-impl-elim :args (@t26 @t79)) % 50.95/51.19 (step @p587 :rule cong :premises (@p586) :args (@t80)) % 50.95/51.19 (step @p588 :rule eq_resolve :premises (@p55 @p587)) % 50.95/51.19 (step @p589 :rule instantiate :premises (@p588) :args (@t402)) % 50.95/51.19 (step @p590 :rule cnf_or_pos :args (@t404)) % 50.95/51.19 (step @p591 :rule reordering :premises (@p590) :args ((or @t283 @t403 (not @t404)))) % 50.95/51.19 (step @p592 :rule chain_m_resolution :premises (@p591 @p585 @p589) :args (@t403 @t295 (@list @t282 @t404))) % 50.95/51.19 (step @p593 :rule aci_norm :args ((= @t414 (or @t138 @t412 @t411 @t410 @t409 @t408)))) % 50.95/51.19 (step @p594 :rule cong :premises (@p593) :args (@t415)) % 50.95/51.19 (step @p595 :rule quant-merge-prenex :args ((= (forall @t9 @t417) @t415))) % 50.95/51.19 (step @p596 :rule alpha_equiv :args (@t418 (@list @t405 @t407 @t406) (@list @t1 @t420 @t419))) % 50.95/51.19 (step @p597 :rule nary_cong :premises (@p115 @p596) :args (@t421)) % 50.95/51.19 (step @p598 :rule quant-miniscope-or :args ((= @t417 @t421))) % 50.95/51.19 (step @p599 :rule trans :premises (@p598 @p597)) % 50.95/51.19 (step @p600 :rule symm :premises (@p599)) % 50.95/51.19 (step @p601 :rule cong :premises (@p600) :args ((forall @t9 (or @t138 @t428)))) % 50.95/51.19 (step @p602 :rule trans :premises (@p601 @p595)) % 50.95/51.19 (step @p603 :rule trans :premises (@p602 @p594)) % 50.95/51.19 (step @p604 :rule bool-impl-elim :args (@t26 @t428)) % 50.95/51.19 (step @p605 :rule cong :premises (@p604) :args ((forall @t9 (=> @t26 @t428)))) % 50.95/51.19 (step @p606 :rule trans :premises (@p605 @p603)) % 50.95/51.19 (step @p607 :rule aci_norm :args ((= @t430 @t426))) % 50.95/51.19 (step @p608 :rule cong :premises (@p607) :args (@t431)) % 50.95/51.19 (step @p609 :rule quant-merge-prenex :args ((= (forall @t7 @t433) @t431))) % 50.95/51.19 (step @p610 :rule alpha_equiv :args (@t434 (@list @t420 @t419) (@list @t12 @t435))) % 50.95/51.19 (step @p611 :rule refl :args (@t425)) % 50.95/51.19 (step @p612 :rule nary_cong :premises (@p136 @p611 @p610) :args (@t436)) % 50.95/51.19 (step @p613 :rule quant-miniscope-or :args ((= @t433 @t436))) % 50.95/51.19 (step @p614 :rule trans :premises (@p613 @p612)) % 50.95/51.19 (step @p615 :rule symm :premises (@p614)) % 50.95/51.19 (step @p616 :rule cong :premises (@p615) :args ((forall @t7 @t442))) % 50.95/51.19 (step @p617 :rule trans :premises (@p616 @p609)) % 50.95/51.19 (step @p618 :rule trans :premises (@p617 @p608)) % 50.95/51.19 (step @p619 :rule aci_norm :args ((= (or @t158 @t443) @t442))) % 50.95/51.19 (step @p620 :rule bool-impl-elim :args (@t32 @t443)) % 50.95/51.19 (step @p621 :rule trans :premises (@p620 @p619)) % 50.95/51.19 (step @p622 :rule cong :premises (@p621) :args ((forall @t7 (=> @t32 @t443)))) % 50.95/51.19 (step @p623 :rule trans :premises (@p622 @p618)) % 50.95/51.19 (step @p624 :rule aci_norm :args ((= @t445 @t439))) % 50.95/51.19 (step @p625 :rule cong :premises (@p624) :args (@t446)) % 50.95/51.19 (step @p626 :rule quant-merge-prenex :args ((= (forall @t20 @t448) @t446))) % 50.95/51.19 (step @p627 :rule alpha_equiv :args (@t449 (@list @t435) @t348)) % 50.95/51.19 (step @p628 :rule nary_cong :premises (@p178 @p627) :args (@t450)) % 50.95/51.19 (step @p629 :rule quant-miniscope-or :args ((= @t448 @t450))) % 50.95/51.19 (step @p630 :rule trans :premises (@p629 @p628)) % 50.95/51.19 (step @p631 :rule symm :premises (@p630)) % 50.95/51.19 (step @p632 :rule cong :premises (@p631) :args (@t454)) % 50.95/51.19 (step @p633 :rule trans :premises (@p632 @p626)) % 50.95/51.19 (step @p634 :rule trans :premises (@p633 @p625)) % 50.95/51.19 (step @p635 :rule refl :args (@t425)) % 50.95/51.19 (step @p636 :rule nary_cong :premises (@p635 @p634) :args (@t455)) % 50.95/51.19 (step @p637 :rule quant-miniscope-or :args ((= (forall @t20 @t456) @t455))) % 50.95/51.19 (step @p638 :rule aci_norm :args ((= @t457 @t456))) % 50.95/51.19 (step @p639 :rule cong :premises (@p638) :args ((forall @t20 @t457))) % 50.95/51.19 (step @p640 :rule trans :premises (@p639 @p637)) % 50.95/51.19 (step @p641 :rule trans :premises (@p640 @p636)) % 50.95/51.19 (step @p642 :rule aci_norm :args ((= (or @t198 @t458) @t457))) % 50.95/51.19 (step @p643 :rule bool-impl-elim :args (@t18 @t458)) % 50.95/51.19 (step @p644 :rule trans :premises (@p643 @p642)) % 50.95/51.19 (step @p645 :rule cong :premises (@p644) :args ((forall @t20 (=> @t18 @t458)))) % 50.95/51.19 (step @p646 :rule trans :premises (@p645 @p641)) % 50.95/51.19 (step @p647 :rule quant-miniscope-or :args ((= (forall @t16 @t459) @t458))) % 50.95/51.19 (step @p648 :rule aci_norm :args ((= @t460 @t459))) % 50.95/51.19 (step @p649 :rule cong :premises (@p648) :args ((forall @t16 @t460))) % 50.95/51.19 (step @p650 :rule trans :premises (@p649 @p647)) % 50.95/51.19 (step @p651 :rule aci_norm :args ((= (or @t237 (or @t425 @t81)) @t460))) % 50.95/51.19 (step @p652 :rule bool-impl-elim :args (@t35 @t81)) % 50.95/51.19 (step @p653 :rule nary_cong :premises (@p241 @p652) :args ((or @t237 @t82))) % 50.95/51.19 (step @p654 :rule trans :premises (@p653 @p651)) % 50.95/51.19 (step @p655 :rule bool-impl-elim :args (@t14 @t82)) % 50.95/51.19 (step @p656 :rule trans :premises (@p655 @p654)) % 50.95/51.19 (step @p657 :rule cong :premises (@p656) :args (@t83)) % 50.95/51.19 (step @p658 :rule trans :premises (@p657 @p650)) % 50.95/51.19 (step @p659 :rule cong :premises (@p305 @p658) :args (@t84)) % 50.95/51.19 (step @p660 :rule cong :premises (@p659) :args (@t85)) % 50.95/51.19 (step @p661 :rule trans :premises (@p660 @p646)) % 50.95/51.19 (step @p662 :rule cong :premises (@p309 @p661) :args (@t86)) % 50.95/51.19 (step @p663 :rule cong :premises (@p662) :args (@t87)) % 50.95/51.19 (step @p664 :rule trans :premises (@p663 @p623)) % 50.95/51.19 (step @p665 :rule cong :premises (@p313 @p664) :args (@t88)) % 50.95/51.19 (step @p666 :rule cong :premises (@p665) :args (@t89)) % 50.95/51.19 (step @p667 :rule trans :premises (@p666 @p606)) % 50.95/51.19 (step @p668 :rule eq_resolve :premises (@p56 @p667)) % 50.95/51.19 (step @p669 :rule instantiate :premises (@p668) :args ((@list @t266 @t266 tptp.nil @t365))) % 50.95/51.19 (step @p670 :rule cnf_or_pos :args (@t464)) % 50.95/51.19 (step @p671 :rule factoring :premises (@p670)) % 50.95/51.19 (step @p672 :rule reordering :premises (@p671) :args ((or @t318 @t283 @t463 @t371 @t462 (not @t464)))) % 50.95/51.19 (step @p673 :rule bool-impl-elim :args (@t26 @t465)) % 50.95/51.19 (step @p674 :rule cong :premises (@p673) :args ((forall @t9 (=> @t26 @t465)))) % 50.95/51.19 (step @p675 :rule eq-symm :args (@t105 @t2)) % 50.95/51.19 (step @p676 :rule cong :premises (@p313 @p675) :args (@t106)) % 50.95/51.19 (step @p677 :rule cong :premises (@p676) :args (@t107)) % 50.95/51.19 (step @p678 :rule trans :premises (@p677 @p674)) % 50.95/51.19 (step @p679 :rule eq_resolve :premises (@p84 @p678)) % 50.95/51.19 (step @p680 :rule instantiate :premises (@p679) :args (@t142)) % 50.95/51.19 (step @p681 :rule cnf_or_pos :args (@t467)) % 50.95/51.19 (step @p682 :rule reordering :premises (@p681) :args ((or @t281 @t466 (not @t467)))) % 50.95/51.19 (step @p683 :rule chain_m_resolution :premises (@p682 @p348 @p680) :args (@t466 @t295 (@list @t280 @t467))) % 50.95/51.19 (step @p684 :rule refl :args (@t470)) % 50.95/51.19 (step @p685 :rule refl :args (@t369)) % 50.95/51.19 (step @p686 :rule refl :args (@t471)) % 50.95/51.19 (step @p687 :rule nary_cong :premises (@p353 @p686 @p685 @p684) :args ((or @t298 @t471 @t369 @t470))) % 50.95/51.19 (assume-push @p857 @t297) % 50.95/51.19 (assume-push @p858 @t466) % 50.95/51.19 (assume-push @p859 @t368) % 50.95/51.19 (assume-push @p860 @t297) % 50.95/51.19 (assume-push @p861 @t466) % 50.95/51.19 (assume-push @p862 @t368) % 50.95/51.19 (step @p694 :rule false_intro :premises (@p857)) % 50.95/51.19 (step @p695 :rule refl :args (@t266)) % 50.95/51.19 (step @p696 :rule symm :premises (@p683)) % 50.95/51.19 (step @p697 :rule refl :args (tptp.nil)) % 50.95/51.19 (step @p698 :rule symm :premises (@p859)) % 50.95/51.19 (step @p699 :rule cong :premises (@p698 @p697) :args (@t468)) % 50.95/51.19 (step @p700 :rule trans :premises (@p699 @p696)) % 50.95/51.19 (step @p701 :rule cong :premises (@p700 @p695) :args (@t469)) % 50.95/51.19 (step @p702 :rule trans :premises (@p701 @p694)) % 50.95/51.19 (step @p703 :rule false_elim :premises (@p702)) % 50.95/51.19 (step-pop @p863 :rule scope :premises (@p703)) % 50.95/51.19 (step-pop @p864 :rule scope :premises (@p863)) % 50.95/51.19 (step-pop @p865 :rule scope :premises (@p864)) % 50.95/51.19 (step @p704 :rule process_scope :premises (@p865) :args (@t470)) % 50.95/51.19 (step @p708 :rule and_intro :premises (@p857 @p683 @p859)) % 50.95/51.19 (step @p709 :rule modus_ponens :premises (@p708 @p704)) % 50.95/51.19 (step-pop @p866 :rule scope :premises (@p709)) % 50.95/51.19 (step-pop @p867 :rule scope :premises (@p866)) % 50.95/51.19 (step-pop @p868 :rule scope :premises (@p867)) % 50.95/51.19 (step @p710 :rule process_scope :premises (@p868) :args (@t470)) % 50.95/51.19 (step @p714 :rule implies_elim :premises (@p710)) % 50.95/51.19 (step @p715 :rule cnf_and_neg :args (@t472)) % 50.95/51.19 (step @p716 :rule resolution :premises (@p715 @p714) :args (true @t472)) % 50.95/51.19 (step @p717 :rule eq_resolve :premises (@p716 @p687)) % 50.95/51.19 (step @p718 :rule bool-impl-elim :args (@t26 @t473)) % 50.95/51.19 (step @p719 :rule cong :premises (@p718) :args ((forall @t9 (=> @t26 @t473)))) % 50.95/51.19 (step @p720 :rule eq-symm :args (@t66 @t2)) % 50.95/51.19 (step @p721 :rule cong :premises (@p313 @p720) :args (@t67)) % 50.95/51.19 (step @p722 :rule cong :premises (@p721) :args (@t68)) % 50.95/51.19 (step @p723 :rule trans :premises (@p722 @p719)) % 50.95/51.19 (step @p724 :rule eq_resolve :premises (@p28 @p723)) % 50.95/51.19 (step @p725 :rule instantiate :premises (@p724) :args (@t402)) % 50.95/51.19 (step @p726 :rule cnf_or_pos :args (@t475)) % 50.95/51.19 (step @p727 :rule reordering :premises (@p726) :args ((or @t283 @t474 (not @t475)))) % 50.95/51.19 (step @p728 :rule chain_m_resolution :premises (@p727 @p585 @p725) :args (@t474 @t295 (@list @t282 @t475))) % 50.95/51.19 (assume-push @p869 @t267) % 50.95/51.19 (assume-push @p870 @t474) % 50.95/51.19 (assume-push @p871 @t400) % 50.95/51.19 (assume-push @p872 @t462) % 50.95/51.19 (assume-push @p873 @t462) % 50.95/51.19 (assume-push @p874 @t474) % 50.95/51.19 (assume-push @p875 @t267) % 50.95/51.19 (assume-push @p876 @t400) % 50.95/51.19 (step @p737 :rule true_intro :premises (@p872)) % 50.95/51.19 (step @p695 :rule refl :args (@t266)) % 50.95/51.19 (step @p738 :rule refl :args (@t365)) % 50.95/51.19 (step @p739 :rule cong :premises (@p728 @p738) :args ((tptp.app @t266 @t365))) % 50.95/51.19 (step @p740 :rule symm :premises (@p869)) % 50.95/51.19 (step @p741 :rule cong :premises (@p740 @p738) :args (@t399)) % 50.95/51.19 (step @p742 :rule trans :premises (@p871 @p741 @p739)) % 50.95/51.19 (step @p743 :rule cong :premises (@p742 @p695) :args (@t476)) % 50.95/51.19 (step @p744 :rule trans :premises (@p743 @p737)) % 50.95/51.19 (step @p745 :rule true_elim :premises (@p744)) % 50.95/51.19 (step-pop @p877 :rule scope :premises (@p745)) % 50.95/51.19 (step-pop @p878 :rule scope :premises (@p877)) % 50.95/51.19 (step-pop @p879 :rule scope :premises (@p878)) % 50.95/51.19 (step-pop @p880 :rule scope :premises (@p879)) % 50.95/51.19 (step @p746 :rule process_scope :premises (@p880) :args (@t476)) % 50.95/51.19 (step @p751 :rule and_intro :premises (@p872 @p728 @p869 @p871)) % 50.95/51.19 (step @p752 :rule modus_ponens :premises (@p751 @p746)) % 50.95/51.19 (step-pop @p881 :rule scope :premises (@p752)) % 50.95/51.19 (step-pop @p882 :rule scope :premises (@p881)) % 50.95/51.19 (step-pop @p883 :rule scope :premises (@p882)) % 50.95/51.19 (step-pop @p884 :rule scope :premises (@p883)) % 50.95/51.19 (step @p753 :rule process_scope :premises (@p884) :args (@t476)) % 50.95/51.19 (step @p758 :rule implies_elim :premises (@p753)) % 50.95/51.19 (step @p759 :rule cnf_and_neg :args (@t477)) % 50.95/51.19 (step @p760 :rule resolution :premises (@p759 @p758) :args (true @t477)) % 50.95/51.19 (step @p761 :rule reordering :premises (@p760) :args ((or @t268 (not @t474) @t476 (not @t400) (not @t462)))) % 50.95/51.19 (step @p762 :rule instantiate :premises (@p668) :args ((@list @t366 @t266 @t363 tptp.nil))) % 50.95/51.19 (step @p763 :rule cnf_or_pos :args (@t480)) % 50.95/51.19 (step @p764 :rule reordering :premises (@p763) :args ((or @t318 @t283 @t372 @t479 @t478 @t469 (not @t480)))) % 50.95/51.19 (step @p765 :rule chain_m_resolution :premises (@p764 @p762 @p585 @p17 @p761 @p728 @p717 @p683 @p672 @p669 @p592 @p585 @p17 @p579 @p577 @p556 @p554 @p533 @p528 @p523) :args ((or @t278 @t270 @t268 @t373) (@list false false false false false true false false false false false false false false false false false false false) (@list @t480 @t282 @t57 @t476 @t474 @t469 @t466 @t462 @t464 @t403 @t282 @t57 @t400 @t401 @t386 @t387 @t368 @t370 @t364))) % 50.95/51.19 (step @p766 :rule cnf_equiv_pos1 :args (@t361)) % 50.95/51.19 (step @p767 :rule reordering :premises (@p766) :args ((or @t264 @t360 (not @t361)))) % 50.95/51.19 (step @p768 :rule refl :args (@t481)) % 50.95/51.19 (step @p769 :rule bool-double-not-elim :args (@t359)) % 50.95/51.19 (step @p770 :rule nary_cong :premises (@p769 @p768) :args ((or (not @t360) @t481))) % 50.95/51.19 (assume-push @p885 @t360) % 50.95/51.19 (step @p772 :rule skolemize :premises (@p885)) % 50.95/51.19 (step-pop @p886 :rule scope :premises (@p772)) % 50.95/51.19 (step @p773 :rule process_scope :premises (@p886) :args (@t481)) % 50.95/51.19 (step @p775 :rule implies_elim :premises (@p773)) % 50.95/51.19 (step @p776 :rule eq_resolve :premises (@p775 @p770)) % 50.95/51.19 (step @p777 :rule chain_m_resolution :premises (@p776 @p767 @p765 @p517 @p515 @p348 @p456 @p451 @p446 @p440 @p439 @p437 @p431 @p393 @p386 @p384 @p351) :args (@t278 (@list true false false false false false false false true true false false true true true false) (@list @t359 @t373 @t361 @t362 @t280 @t263 @t267 @t269 @t271 @t272 @t261 @t321 @t273 @t276 @t274 @t293))) % 50.95/51.19 (step @p778 :rule cnf_or_neg :args (@t284 2)) % 50.95/51.19 (step @p779 :rule chain_m_resolution :premises (@p778 @p341) :args ((not @t279) @t291 @t292)) % 50.95/51.19 (step @p780 :rule cnf_and_neg :args (@t279)) % 50.95/51.19 (step @p781 :rule chain_m_resolution :premises (@p780 @p779 @p777) :args (@t482 @t483 (@list @t279 @t278))) % 50.95/51.19 (step @p782 :rule bool-double-not-elim :args (@t277)) % 50.95/51.19 (step @p783 :rule refl :args (@t484)) % 50.95/51.19 (step @p784 :rule nary_cong :premises (@p783 @p354 @p782) :args ((or @t484 @t275 @t485))) % 50.95/51.19 (assume-push @p887 @t95) % 50.95/51.19 (assume-push @p888 @t274) % 50.95/51.19 (assume-push @p889 @t482) % 50.95/51.19 (step @p359 :rule evaluate :args (@t299)) % 50.95/51.19 (step @p788 :rule true_intro :premises (@p66)) % 50.95/51.19 (step @p789 :rule symm :premises (@p888)) % 50.95/51.19 (step @p790 :rule cong :premises (@p789) :args (@t277)) % 50.95/51.19 (step @p791 :rule false_intro :premises (@p889)) % 50.95/51.19 (step @p792 :rule symm :premises (@p791)) % 50.95/51.19 (step @p793 :rule trans :premises (@p792 @p790 @p788)) % 50.95/51.19 (step @p794 false :rule eq_resolve :premises (@p793 @p359)) % 50.95/51.19 (step-pop @p890 :rule scope :premises (@p794)) % 50.95/51.19 (step-pop @p891 :rule scope :premises (@p890)) % 50.95/51.19 (step-pop @p892 :rule scope :premises (@p891)) % 50.95/51.19 (step @p795 :rule process_scope :premises (@p892) :args (false)) % 50.95/51.19 (step @p799 :rule not_and :premises (@p795)) % 50.95/51.19 (step @p800 :rule eq_resolve :premises (@p799 @p784)) % 50.95/51.19 (step @p801 :rule reordering :premises (@p800) :args ((or @t484 @t277 @t275))) % 50.95/51.19 (step @p802 :rule chain_m_resolution :premises (@p801 @p66 @p781) :args (@t275 (@list false true) (@list @t95 @t277))) % 50.95/51.19 (step @p803 :rule chain_m_resolution :premises (@p393 @p802 @p386) :args (@t301 (@list true true) (@list @t274 @t276))) % 50.95/51.19 (step @p804 :rule chain_m_resolution :premises (@p437 @p803 @p431) :args (@t261 @t483 (@list @t273 @t321))) % 50.95/51.19 (step @p805 :rule chain_m_resolution :premises (@p440 @p439 @p804) :args ((not @t271) @t483 (@list @t272 @t261))) % 50.95/51.19 (step @p806 :rule chain_m_resolution :premises (@p451 @p805) :args (@t267 @t291 @t486)) % 50.95/51.19 (step @p807 :rule bool-impl-elim :args (@t8 @t93)) % 50.95/51.19 (step @p808 :rule cong :premises (@p807) :args (@t94)) % 50.95/51.19 (step @p809 :rule eq_resolve :premises (@p65 @p808)) % 50.95/51.19 (step @p810 :rule instantiate :premises (@p809) :args ((@list @t262))) % 50.95/51.19 (step @p811 :rule chain_m_resolution :premises (@p446 @p805) :args (@t269 @t291 @t486)) % 50.95/51.19 (step @p812 :rule cnf_or_pos :args (@t488)) % 50.95/51.19 (step @p813 :rule reordering :premises (@p812) :args ((or @t270 @t487 (not @t488)))) % 50.95/51.19 (step @p814 :rule chain_m_resolution :premises (@p813 @p811 @p810) :args (@t487 @t295 (@list @t269 @t488))) % 50.95/51.19 (step @p815 :rule refl :args (@t489)) % 50.95/51.19 (step @p816 :rule refl :args (@t268)) % 50.95/51.19 (step @p817 :rule nary_cong :premises (@p816 @p782 @p815) :args ((or @t268 @t485 @t489))) % 50.95/51.19 (assume-push @p893 @t267) % 50.95/51.19 (assume-push @p894 @t482) % 50.95/51.19 (assume-push @p895 @t482) % 50.95/51.19 (assume-push @p896 @t267) % 50.95/51.19 (step @p822 :rule false_intro :premises (@p894)) % 50.95/51.19 (step @p823 :rule symm :premises (@p893)) % 50.95/51.19 (step @p824 :rule cong :premises (@p823) :args (@t487)) % 50.95/51.19 (step @p825 :rule trans :premises (@p824 @p822)) % 50.95/51.19 (step @p826 :rule false_elim :premises (@p825)) % 50.95/51.19 (step-pop @p897 :rule scope :premises (@p826)) % 50.95/51.19 (step-pop @p898 :rule scope :premises (@p897)) % 50.95/51.19 (step @p827 :rule process_scope :premises (@p898) :args (@t489)) % 50.95/51.19 (step @p830 :rule and_intro :premises (@p894 @p893)) % 50.95/51.19 (step @p831 :rule modus_ponens :premises (@p830 @p827)) % 50.95/51.19 (step-pop @p899 :rule scope :premises (@p831)) % 50.95/51.19 (step-pop @p900 :rule scope :premises (@p899)) % 50.95/51.19 (step @p832 :rule process_scope :premises (@p900) :args (@t489)) % 50.95/51.19 (step @p835 :rule implies_elim :premises (@p832)) % 50.95/51.19 (step @p836 :rule cnf_and_neg :args (@t490)) % 50.95/51.19 (step @p837 :rule resolution :premises (@p836 @p835) :args (true @t490)) % 50.95/51.19 (step @p838 :rule eq_resolve :premises (@p837 @p817)) % 50.95/51.19 (step @p839 :rule reordering :premises (@p838) :args ((or @t277 @t268 @t489))) % 50.95/51.19 (step @p840 false :rule chain_m_resolution :premises (@p839 @p814 @p806 @p781) :args (false (@list false false true) (@list @t487 @t267 @t277))) % 50.95/51.19 ) % 50.95/51.19 % SZS output end Proof % 50.95/51.19 % cvc5 exiting %------------------------------------------------------------------------------