%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC299+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 : n006.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 08:58:46 AM UTC 2026 % Result : Theorem 118.21s 118.47s % Output : Proof 118.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC299+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 : n006.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 19:38:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 118.21/118.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 118.21/118.47 --- Run --no-e-matching --full-saturate-quant at 6... % 118.21/118.47 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 118.21/118.47 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 118.21/118.47 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 118.21/118.47 --- Run --trigger-sel=max --full-saturate-quant at 15... % 118.21/118.47 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 118.21/118.47 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 118.21/118.47 % SZS status Theorem % 118.21/118.47 % SZS output start Proof % 118.21/118.47 ( % 118.21/118.47 (declare-sort $$unsorted 0) % 118.21/118.47 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 118.21/118.47 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 118.21/118.47 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 118.21/118.47 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 118.21/118.47 (declare-const tptp.nil $$unsorted) % 118.21/118.47 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.ssList (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 118.21/118.47 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 118.21/118.47 (define @t1 () (@var "V" $$unsorted)) % 118.21/118.47 (define @t2 () (@var "U" $$unsorted)) % 118.21/118.47 (define @t3 () (= @t2 @t1)) % 118.21/118.47 (define @t4 () (not @t3)) % 118.21/118.47 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 118.21/118.47 (define @t6 () (tptp.ssItem @t1)) % 118.21/118.47 (define @t7 () (@list @t1)) % 118.21/118.47 (define @t8 () (tptp.ssItem @t2)) % 118.21/118.47 (define @t9 () (@list @t2)) % 118.21/118.47 (define @t10 () (@var "X" $$unsorted)) % 118.21/118.47 (define @t11 () (tptp.cons @t1 @t10)) % 118.21/118.47 (define @t12 () (@var "W" $$unsorted)) % 118.21/118.47 (define @t13 () (tptp.ssList @t10)) % 118.21/118.47 (define @t14 () (@list @t10)) % 118.21/118.47 (define @t15 () (tptp.ssList @t12)) % 118.21/118.47 (define @t16 () (@list @t12)) % 118.21/118.47 (define @t17 () (tptp.ssList @t2)) % 118.21/118.47 (define @t18 () (tptp.cons @t1 tptp.nil)) % 118.21/118.47 (define @t19 () (tptp.app @t1 @t12)) % 118.21/118.47 (define @t20 () (tptp.frontsegP @t2 @t1)) % 118.21/118.47 (define @t21 () (tptp.ssList @t1)) % 118.21/118.47 (define @t22 () (tptp.app @t12 @t1)) % 118.21/118.47 (define @t23 () (tptp.rearsegP @t2 @t1)) % 118.21/118.47 (define @t24 () (tptp.segmentP @t2 @t1)) % 118.21/118.47 (define @t25 () (tptp.leq @t12 @t1)) % 118.21/118.47 (define @t26 () (tptp.leq @t1 @t12)) % 118.21/118.47 (define @t27 () (@var "Z" $$unsorted)) % 118.21/118.47 (define @t28 () (@var "Y" $$unsorted)) % 118.21/118.47 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 118.21/118.47 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 118.21/118.47 (define @t31 () (= @t30 @t2)) % 118.21/118.47 (define @t32 () (tptp.ssList @t27)) % 118.21/118.47 (define @t33 () (@list @t27)) % 118.21/118.47 (define @t34 () (tptp.ssList @t28)) % 118.21/118.47 (define @t35 () (@list @t28)) % 118.21/118.47 (define @t36 () (tptp.ssItem @t12)) % 118.21/118.47 (define @t37 () (tptp.lt @t1 @t12)) % 118.21/118.47 (define @t38 () (=> @t31 @t26)) % 118.21/118.47 (define @t39 () (=> @t32 @t38)) % 118.21/118.47 (define @t40 () (forall @t33 @t39)) % 118.21/118.47 (define @t41 () (=> @t34 @t40)) % 118.21/118.47 (define @t42 () (forall @t35 @t41)) % 118.21/118.47 (define @t43 () (=> @t13 @t42)) % 118.21/118.47 (define @t44 () (forall @t14 @t43)) % 118.21/118.47 (define @t45 () (=> @t36 @t44)) % 118.21/118.47 (define @t46 () (forall @t16 @t45)) % 118.21/118.47 (define @t47 () (=> @t6 @t46)) % 118.21/118.47 (define @t48 () (forall @t7 @t47)) % 118.21/118.47 (define @t49 () (tptp.totalorderedP @t2)) % 118.21/118.47 (define @t50 () (= @t49 @t48)) % 118.21/118.47 (define @t51 () (=> @t17 @t50)) % 118.21/118.47 (define @t52 () (forall @t9 @t51)) % 118.21/118.47 (define @t53 () (= @t1 @t12)) % 118.21/118.47 (define @t54 () (tptp.cons @t1 @t2)) % 118.21/118.47 (define @t55 () (tptp.ssList @t54)) % 118.21/118.47 (define @t56 () (forall @t7 (=> @t6 @t55))) % 118.21/118.47 (define @t57 () (=> @t17 @t56)) % 118.21/118.47 (define @t58 () (forall @t9 @t57)) % 118.21/118.47 (define @t59 () (tptp.ssList tptp.nil)) % 118.21/118.47 (define @t60 () (not (= @t54 @t2))) % 118.21/118.47 (define @t61 () (=> @t6 @t60)) % 118.21/118.47 (define @t62 () (forall @t7 @t61)) % 118.21/118.47 (define @t63 () (=> @t17 @t62)) % 118.21/118.47 (define @t64 () (forall @t9 @t63)) % 118.21/118.47 (define @t65 () (= @t1 @t2)) % 118.21/118.47 (define @t66 () (tptp.cons @t12 @t1)) % 118.21/118.47 (define @t67 () (= tptp.nil @t2)) % 118.21/118.47 (define @t68 () (tptp.hd @t2)) % 118.21/118.47 (define @t69 () (not @t67)) % 118.21/118.47 (define @t70 () (tptp.tl @t2)) % 118.21/118.47 (define @t71 () (tptp.app @t2 @t1)) % 118.21/118.47 (define @t72 () (tptp.ssList @t71)) % 118.21/118.47 (define @t73 () (forall @t7 (=> @t21 @t72))) % 118.21/118.47 (define @t74 () (=> @t17 @t73)) % 118.21/118.47 (define @t75 () (forall @t9 @t74)) % 118.21/118.47 (define @t76 () (tptp.app @t1 @t2)) % 118.21/118.47 (define @t77 () (= (tptp.cons @t12 @t76) (tptp.app @t66 @t2))) % 118.21/118.47 (define @t78 () (forall @t16 (=> @t36 @t77))) % 118.21/118.47 (define @t79 () (=> @t21 @t78)) % 118.21/118.47 (define @t80 () (forall @t7 @t79)) % 118.21/118.47 (define @t81 () (=> @t17 @t80)) % 118.21/118.47 (define @t82 () (forall @t9 @t81)) % 118.21/118.47 (define @t83 () (tptp.app tptp.nil @t2)) % 118.21/118.47 (define @t84 () (=> @t17 (= @t83 @t2))) % 118.21/118.47 (define @t85 () (forall @t9 @t84)) % 118.21/118.47 (define @t86 () (tptp.leq @t1 @t2)) % 118.21/118.47 (define @t87 () (tptp.leq @t2 @t1)) % 118.21/118.47 (define @t88 () (tptp.geq @t2 @t1)) % 118.21/118.47 (define @t89 () (tptp.lt @t1 @t2)) % 118.21/118.47 (define @t90 () (tptp.lt @t2 @t1)) % 118.21/118.47 (define @t91 () (tptp.lt @t2 @t12)) % 118.21/118.47 (define @t92 () (tptp.gt @t2 @t1)) % 118.21/118.47 (define @t93 () (tptp.memberP @t12 @t2)) % 118.21/118.47 (define @t94 () (tptp.app @t12 @t2)) % 118.21/118.47 (define @t95 () (tptp.cons @t2 tptp.nil)) % 118.21/118.47 (define @t96 () (tptp.totalorderedP @t95)) % 118.21/118.47 (define @t97 () (forall @t9 (=> @t8 @t96))) % 118.21/118.47 (define @t98 () (tptp.hd @t1)) % 118.21/118.47 (define @t99 () (= tptp.nil @t1)) % 118.21/118.47 (define @t100 () (not @t99)) % 118.21/118.47 (define @t101 () (tptp.cons @t2 @t1)) % 118.21/118.47 (define @t102 () (= @t12 @t2)) % 118.21/118.47 (define @t103 () (= (tptp.app @t71 @t12) (tptp.app @t2 @t19))) % 118.21/118.47 (define @t104 () (forall @t16 (=> @t15 @t103))) % 118.21/118.47 (define @t105 () (=> @t21 @t104)) % 118.21/118.47 (define @t106 () (forall @t7 @t105)) % 118.21/118.47 (define @t107 () (=> @t17 @t106)) % 118.21/118.47 (define @t108 () (forall @t9 @t107)) % 118.21/118.47 (define @t109 () (and @t99 @t67)) % 118.21/118.47 (define @t110 () (= tptp.nil @t71)) % 118.21/118.47 (define @t111 () (= @t110 @t109)) % 118.21/118.47 (define @t112 () (=> @t21 @t111)) % 118.21/118.47 (define @t113 () (forall @t7 @t112)) % 118.21/118.47 (define @t114 () (=> @t17 @t113)) % 118.21/118.47 (define @t115 () (forall @t9 @t114)) % 118.21/118.47 (define @t116 () (not (tptp.lt @t2 @t2))) % 118.21/118.47 (define @t117 () (forall @t9 (=> @t8 @t116))) % 118.21/118.47 (define @t118 () (and @t87 @t37)) % 118.21/118.47 (define @t119 () (=> @t118 @t91)) % 118.21/118.47 (define @t120 () (forall @t16 (=> @t36 @t119))) % 118.21/118.47 (define @t121 () (=> @t6 @t120)) % 118.21/118.47 (define @t122 () (forall @t7 @t121)) % 118.21/118.47 (define @t123 () (=> @t8 @t122)) % 118.21/118.47 (define @t124 () (forall @t9 @t123)) % 118.21/118.47 (define @t125 () (not (= tptp.nil @t12))) % 118.21/118.47 (define @t126 () (not (= tptp.nil @t10))) % 118.21/118.47 (define @t127 () (or @t126 @t125)) % 118.21/118.47 (define @t128 () (@var "X4" $$unsorted)) % 118.21/118.47 (define @t129 () (@var "X8" $$unsorted)) % 118.21/118.47 (define @t130 () (tptp.lt @t129 @t128)) % 118.21/118.47 (define @t131 () (@var "X6" $$unsorted)) % 118.21/118.47 (define @t132 () (tptp.memberP @t131 @t129)) % 118.21/118.47 (define @t133 () (tptp.ssItem @t129)) % 118.21/118.47 (define @t134 () (and @t133 @t132 @t130)) % 118.21/118.47 (define @t135 () (@list @t129)) % 118.21/118.47 (define @t136 () (exists @t135 @t134)) % 118.21/118.47 (define @t137 () (@var "X7" $$unsorted)) % 118.21/118.47 (define @t138 () (tptp.lt @t128 @t137)) % 118.21/118.47 (define @t139 () (@var "X5" $$unsorted)) % 118.21/118.47 (define @t140 () (tptp.memberP @t139 @t137)) % 118.21/118.47 (define @t141 () (tptp.ssItem @t137)) % 118.21/118.47 (define @t142 () (and @t141 @t140 @t138)) % 118.21/118.47 (define @t143 () (@list @t137)) % 118.21/118.47 (define @t144 () (exists @t143 @t142)) % 118.21/118.47 (define @t145 () (tptp.app @t139 @t12)) % 118.21/118.47 (define @t146 () (tptp.app @t145 @t131)) % 118.21/118.47 (define @t147 () (not (= @t146 @t10))) % 118.21/118.47 (define @t148 () (tptp.cons @t128 tptp.nil)) % 118.21/118.47 (define @t149 () (not (= @t148 @t12))) % 118.21/118.47 (define @t150 () (or @t149 @t147 @t144 @t136)) % 118.21/118.47 (define @t151 () (tptp.ssList @t131)) % 118.21/118.47 (define @t152 () (=> @t151 @t150)) % 118.21/118.47 (define @t153 () (@list @t131)) % 118.21/118.47 (define @t154 () (forall @t153 @t152)) % 118.21/118.47 (define @t155 () (tptp.ssList @t139)) % 118.21/118.47 (define @t156 () (=> @t155 @t154)) % 118.21/118.47 (define @t157 () (@list @t139)) % 118.21/118.47 (define @t158 () (forall @t157 @t156)) % 118.21/118.47 (define @t159 () (tptp.ssItem @t128)) % 118.21/118.47 (define @t160 () (=> @t159 @t158)) % 118.21/118.47 (define @t161 () (@list @t128)) % 118.21/118.47 (define @t162 () (forall @t161 @t160)) % 118.21/118.47 (define @t163 () (and @t162 @t127)) % 118.21/118.47 (define @t164 () (not (tptp.lt @t27 @t28))) % 118.21/118.47 (define @t165 () (@var "X3" $$unsorted)) % 118.21/118.47 (define @t166 () (tptp.cons @t27 tptp.nil)) % 118.21/118.47 (define @t167 () (@var "X2" $$unsorted)) % 118.21/118.47 (define @t168 () (tptp.cons @t28 tptp.nil)) % 118.21/118.47 (define @t169 () (@var "X1" $$unsorted)) % 118.21/118.47 (define @t170 () (tptp.app @t169 @t168)) % 118.21/118.47 (define @t171 () (tptp.app (tptp.app @t170 @t167) @t166)) % 118.21/118.47 (define @t172 () (tptp.app @t171 @t165)) % 118.21/118.47 (define @t173 () (not (= @t172 @t2))) % 118.21/118.47 (define @t174 () (or @t173 @t164)) % 118.21/118.47 (define @t175 () (tptp.ssList @t165)) % 118.21/118.47 (define @t176 () (=> @t175 @t174)) % 118.21/118.47 (define @t177 () (@list @t165)) % 118.21/118.47 (define @t178 () (forall @t177 @t176)) % 118.21/118.47 (define @t179 () (tptp.ssList @t167)) % 118.21/118.47 (define @t180 () (=> @t179 @t178)) % 118.21/118.47 (define @t181 () (@list @t167)) % 118.21/118.47 (define @t182 () (forall @t181 @t180)) % 118.21/118.47 (define @t183 () (tptp.ssList @t169)) % 118.21/118.47 (define @t184 () (=> @t183 @t182)) % 118.21/118.47 (define @t185 () (@list @t169)) % 118.21/118.47 (define @t186 () (forall @t185 @t184)) % 118.21/118.47 (define @t187 () (tptp.ssItem @t27)) % 118.21/118.47 (define @t188 () (=> @t187 @t186)) % 118.21/118.47 (define @t189 () (forall @t33 @t188)) % 118.21/118.47 (define @t190 () (tptp.ssItem @t28)) % 118.21/118.47 (define @t191 () (=> @t190 @t189)) % 118.21/118.47 (define @t192 () (forall @t35 @t191)) % 118.21/118.47 (define @t193 () (not (= @t2 @t12))) % 118.21/118.47 (define @t194 () (not (= @t1 @t10))) % 118.21/118.47 (define @t195 () (or @t194 @t193 @t192 @t163)) % 118.21/118.47 (define @t196 () (=> @t13 @t195)) % 118.21/118.47 (define @t197 () (forall @t14 @t196)) % 118.21/118.47 (define @t198 () (=> @t15 @t197)) % 118.21/118.47 (define @t199 () (forall @t16 @t198)) % 118.21/118.47 (define @t200 () (=> @t21 @t199)) % 118.21/118.47 (define @t201 () (forall @t7 @t200)) % 118.21/118.47 (define @t202 () (=> @t17 @t201)) % 118.21/118.47 (define @t203 () (forall @t9 @t202)) % 118.21/118.47 (define @t204 () (not @t203)) % 118.21/118.47 (define @t205 () (= @t2 @t83)) % 118.21/118.47 (define @t206 () (@var "BOUND_VARIABLE_11481" $$unsorted)) % 118.21/118.47 (define @t207 () (@var "BOUND_VARIABLE_11475" $$unsorted)) % 118.21/118.47 (define @t208 () (@var "BOUND_VARIABLE_11479" $$unsorted)) % 118.21/118.47 (define @t209 () (@var "BOUND_VARIABLE_11473" $$unsorted)) % 118.21/118.47 (define @t210 () (@var "BOUND_VARIABLE_11477" $$unsorted)) % 118.21/118.47 (define @t211 () (tptp.app (tptp.app (tptp.app (tptp.app @t210 (tptp.cons @t209 tptp.nil)) @t208) (tptp.cons @t207 tptp.nil)) @t206)) % 118.21/118.47 (define @t212 () (@var "BOUND_VARIABLE_11504" $$unsorted)) % 118.21/118.47 (define @t213 () (not (= tptp.nil @t212))) % 118.21/118.47 (define @t214 () (@var "BOUND_VARIABLE_11506" $$unsorted)) % 118.21/118.47 (define @t215 () (@var "BOUND_VARIABLE_11510" $$unsorted)) % 118.21/118.47 (define @t216 () (not @t133)) % 118.21/118.47 (define @t217 () (not (forall @t135 (or @t216 (not (tptp.memberP @t215 @t129)) (not (tptp.lt @t129 @t214)))))) % 118.21/118.47 (define @t218 () (@var "BOUND_VARIABLE_11508" $$unsorted)) % 118.21/118.47 (define @t219 () (not (tptp.ssList @t215))) % 118.21/118.47 (define @t220 () (not @t141)) % 118.21/118.47 (define @t221 () (not (forall @t143 (or @t220 (not (tptp.memberP @t218 @t137)) (not (tptp.lt @t214 @t137)))))) % 118.21/118.47 (define @t222 () (not (tptp.ssList @t218))) % 118.21/118.47 (define @t223 () (tptp.cons @t214 tptp.nil)) % 118.21/118.47 (define @t224 () (not (tptp.ssItem @t214))) % 118.21/118.47 (define @t225 () (or @t224 (not (= @t211 @t223)) @t222 @t221 @t219 (not (= @t212 (tptp.app (tptp.app @t218 @t211) @t215))) @t217)) % 118.21/118.47 (define @t226 () (and @t225 (or @t213 (not (= tptp.nil @t211))))) % 118.21/118.47 (define @t227 () (not (tptp.ssList @t212))) % 118.21/118.47 (define @t228 () (not (tptp.ssList @t206))) % 118.21/118.47 (define @t229 () (not (tptp.ssList @t208))) % 118.21/118.47 (define @t230 () (not (tptp.ssList @t210))) % 118.21/118.47 (define @t231 () (not (tptp.lt @t207 @t209))) % 118.21/118.47 (define @t232 () (not (tptp.ssItem @t207))) % 118.21/118.47 (define @t233 () (not (tptp.ssItem @t209))) % 118.21/118.47 (define @t234 () (not (tptp.ssList @t211))) % 118.21/118.47 (define @t235 () (or @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226)) % 118.21/118.47 (define @t236 () (@list @t209 @t207 @t210 @t208 @t206 @t212 @t214 @t218 @t215)) % 118.21/118.47 (define @t237 () (forall @t236 @t235)) % 118.21/118.47 (define @t238 () (@quantifiers_skolemize @t237 3)) % 118.21/118.47 (define @t239 () (not (= @t211 tptp.nil))) % 118.21/118.47 (define @t240 () (or @t213 @t239)) % 118.21/118.47 (define @t241 () (and @t225 @t240)) % 118.21/118.47 (define @t242 () (not (= @t211 @t211))) % 118.21/118.47 (define @t243 () (or @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t242 @t227 @t241)) % 118.21/118.47 (define @t244 () (= @t2 tptp.nil)) % 118.21/118.47 (define @t245 () (not @t244)) % 118.21/118.47 (define @t246 () (or @t224 (not (= @t2 @t223)) @t222 @t221 @t219 (not (= @t212 (tptp.app (tptp.app @t218 @t2) @t215))) @t217)) % 118.21/118.47 (define @t247 () (and @t246 (or @t213 @t245))) % 118.21/118.47 (define @t248 () (not (= @t2 @t211))) % 118.21/118.47 (define @t249 () (not @t17)) % 118.21/118.47 (define @t250 () (or @t248 @t249 @t233 @t232 @t231 @t230 @t229 @t228 @t248 @t227 @t247)) % 118.21/118.47 (define @t251 () (or @t249 @t233 @t232 @t231 @t230 @t229 @t228 @t248 @t227 @t247)) % 118.21/118.47 (define @t252 () (forall @t9 @t251)) % 118.21/118.47 (define @t253 () (forall @t236 @t252)) % 118.21/118.47 (define @t254 () (forall (@list @t209 @t207 @t210 @t208 @t206 @t212 @t214 @t218 @t215 @t2) @t251)) % 118.21/118.47 (define @t255 () (@list @t2 @t209 @t207 @t210 @t208 @t206 @t212 @t214 @t218 @t215)) % 118.21/118.47 (define @t256 () (not (= @t212 tptp.nil))) % 118.21/118.47 (define @t257 () (or @t256 @t245)) % 118.21/118.47 (define @t258 () (and @t246 @t257)) % 118.21/118.47 (define @t259 () (or @t249 @t233 @t232 @t231 @t230 @t229 @t228 @t248 @t227 @t258)) % 118.21/118.47 (define @t260 () (or @t227 @t258)) % 118.21/118.47 (define @t261 () (or @t233 @t232 @t231 @t230 @t229 @t228 @t248)) % 118.21/118.47 (define @t262 () (or @t249 @t261 @t260)) % 118.21/118.47 (define @t263 () (forall @t255 @t262)) % 118.21/118.47 (define @t264 () (forall @t236 @t262)) % 118.21/118.47 (define @t265 () (forall (@list @t212 @t214 @t218 @t215) @t260)) % 118.21/118.47 (define @t266 () (@var "BOUND_VARIABLE_11434" $$unsorted)) % 118.21/118.47 (define @t267 () (@var "BOUND_VARIABLE_11432" $$unsorted)) % 118.21/118.47 (define @t268 () (@var "BOUND_VARIABLE_11430" $$unsorted)) % 118.21/118.47 (define @t269 () (forall (@list @t209 @t207 @t210 @t208 @t206) @t261)) % 118.21/118.47 (define @t270 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 118.21/118.47 (define @t271 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 118.21/118.47 (define @t272 () (@var "BOUND_VARIABLE_11082" $$unsorted)) % 118.21/118.47 (define @t273 () (@var "BOUND_VARIABLE_11080" $$unsorted)) % 118.21/118.47 (define @t274 () (or @t249 @t269 @t265)) % 118.21/118.47 (define @t275 () (= @t1 tptp.nil)) % 118.21/118.47 (define @t276 () (not @t275)) % 118.21/118.47 (define @t277 () (or @t276 @t245)) % 118.21/118.47 (define @t278 () (or (not (tptp.ssItem @t268)) (not (= @t2 (tptp.cons @t268 tptp.nil))) (not (tptp.ssList @t267)) (not (forall @t143 (or @t220 (not (tptp.memberP @t267 @t137)) (not (tptp.lt @t268 @t137))))) (not (tptp.ssList @t266)) (not (= @t1 (tptp.app (tptp.app @t267 @t2) @t266))) (not (forall @t135 (or @t216 (not (tptp.memberP @t266 @t129)) (not (tptp.lt @t129 @t268))))))) % 118.21/118.47 (define @t279 () (and @t278 @t277)) % 118.21/118.47 (define @t280 () (not @t21)) % 118.21/118.47 (define @t281 () (or @t280 @t279)) % 118.21/118.47 (define @t282 () (forall (@list @t1 @t268 @t267 @t266) @t281)) % 118.21/118.47 (define @t283 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t272 @t168) @t271) (tptp.cons @t273 tptp.nil)) @t270)))) % 118.21/118.47 (define @t284 () (not (tptp.ssList @t270))) % 118.21/118.47 (define @t285 () (not (tptp.ssList @t271))) % 118.21/118.47 (define @t286 () (not (tptp.ssList @t272))) % 118.21/118.47 (define @t287 () (not (tptp.lt @t273 @t28))) % 118.21/118.47 (define @t288 () (not (tptp.ssItem @t273))) % 118.21/118.47 (define @t289 () (not @t190)) % 118.21/118.47 (define @t290 () (or @t289 @t288 @t287 @t286 @t285 @t284 @t283)) % 118.21/118.47 (define @t291 () (@list @t28 @t273 @t272 @t271 @t270)) % 118.21/118.47 (define @t292 () (forall @t291 @t290)) % 118.21/118.47 (define @t293 () (or @t249 @t292 @t282)) % 118.21/118.47 (define @t294 () (or @t292 @t249 @t282)) % 118.21/118.47 (define @t295 () (@list @t268 @t267 @t266)) % 118.21/118.47 (define @t296 () (forall @t295 @t281)) % 118.21/118.47 (define @t297 () (forall @t295 @t277)) % 118.21/118.47 (define @t298 () (forall @t295 @t278)) % 118.21/118.47 (define @t299 () (@var "BOUND_VARIABLE_11381" $$unsorted)) % 118.21/118.47 (define @t300 () (@var "BOUND_VARIABLE_11379" $$unsorted)) % 118.21/118.47 (define @t301 () (@var "BOUND_VARIABLE_11377" $$unsorted)) % 118.21/118.47 (define @t302 () (@list @t301 @t300 @t299)) % 118.21/118.47 (define @t303 () (and @t298 @t297)) % 118.21/118.47 (define @t304 () (forall @t295 @t279)) % 118.21/118.47 (define @t305 () (or @t280 @t304)) % 118.21/118.47 (define @t306 () (and (forall (@list @t301 @t300 @t299) (or (not (tptp.ssItem @t301)) (not (= @t2 (tptp.cons @t301 tptp.nil))) (not (tptp.ssList @t300)) (not (forall @t143 (or @t220 (not (tptp.memberP @t300 @t137)) (not (tptp.lt @t301 @t137))))) (not (tptp.ssList @t299)) (not (= @t1 (tptp.app (tptp.app @t300 @t2) @t299))) (not (forall @t135 (or @t216 (not (tptp.memberP @t299 @t129)) (not (tptp.lt @t129 @t301))))))) @t277)) % 118.21/118.47 (define @t307 () (or @t280 @t306)) % 118.21/118.47 (define @t308 () (forall @t7 @t307)) % 118.21/118.47 (define @t309 () (or @t292 @t249 @t308)) % 118.21/118.47 (define @t310 () (or @t292 @t249 @t307)) % 118.21/118.47 (define @t311 () (or @t280 @t292 @t249 @t306)) % 118.21/118.47 (define @t312 () (or @t292 @t280 @t249 @t306)) % 118.21/118.47 (define @t313 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 118.21/118.47 (define @t314 () (@var "BOUND_VARIABLE_11322" $$unsorted)) % 118.21/118.47 (define @t315 () (@var "BOUND_VARIABLE_11320" $$unsorted)) % 118.21/118.47 (define @t316 () (@list @t315 @t314 @t313)) % 118.21/118.47 (define @t317 () (forall @t316 @t277)) % 118.21/118.47 (define @t318 () (not (forall @t135 (or @t216 (not (tptp.memberP @t313 @t129)) (not (tptp.lt @t129 @t315)))))) % 118.21/118.47 (define @t319 () (not (tptp.ssList @t313))) % 118.21/118.47 (define @t320 () (not (forall @t143 (or @t220 (not (tptp.memberP @t314 @t137)) (not (tptp.lt @t315 @t137)))))) % 118.21/118.47 (define @t321 () (not (tptp.ssList @t314))) % 118.21/118.47 (define @t322 () (tptp.cons @t315 tptp.nil)) % 118.21/118.47 (define @t323 () (not (tptp.ssItem @t315))) % 118.21/118.47 (define @t324 () (or @t323 (not (= @t2 @t322)) @t321 @t320 @t319 (not (= @t1 (tptp.app (tptp.app @t314 @t2) @t313))) @t318)) % 118.21/118.47 (define @t325 () (forall @t316 @t324)) % 118.21/118.47 (define @t326 () (@list @t315 @t314 @t313)) % 118.21/118.47 (define @t327 () (and @t325 @t317)) % 118.21/118.47 (define @t328 () (and @t324 @t277)) % 118.21/118.47 (define @t329 () (forall @t316 @t328)) % 118.21/118.47 (define @t330 () (or @t249 @t329)) % 118.21/118.47 (define @t331 () (or @t249 @t328)) % 118.21/118.47 (define @t332 () (not (= @t2 @t2))) % 118.21/118.47 (define @t333 () (or @t249 @t332 @t328)) % 118.21/118.47 (define @t334 () (not (= @t12 tptp.nil))) % 118.21/118.47 (define @t335 () (or @t276 @t334)) % 118.21/118.47 (define @t336 () (or @t323 (not (= @t12 @t322)) @t321 @t320 @t319 (not (= @t1 (tptp.app (tptp.app @t314 @t12) @t313))) @t318)) % 118.21/118.47 (define @t337 () (and @t336 @t335)) % 118.21/118.47 (define @t338 () (not @t15)) % 118.21/118.47 (define @t339 () (or @t193 @t338 @t193 @t337)) % 118.21/118.47 (define @t340 () (or @t338 @t193 @t337)) % 118.21/118.47 (define @t341 () (forall @t16 @t340)) % 118.21/118.47 (define @t342 () (forall @t316 @t341)) % 118.21/118.47 (define @t343 () (forall (@list @t315 @t314 @t313 @t12) @t340)) % 118.21/118.47 (define @t344 () (forall (@list @t12 @t315 @t314 @t313) @t340)) % 118.21/118.47 (define @t345 () (forall @t316 @t340)) % 118.21/118.47 (define @t346 () (forall @t316 @t335)) % 118.21/118.47 (define @t347 () (forall @t316 @t336)) % 118.21/118.47 (define @t348 () (@var "BOUND_VARIABLE_11271" $$unsorted)) % 118.21/118.47 (define @t349 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 118.21/118.47 (define @t350 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 118.21/118.47 (define @t351 () (@list @t350 @t349 @t348)) % 118.21/118.47 (define @t352 () (and @t347 @t346)) % 118.21/118.47 (define @t353 () (forall @t316 @t337)) % 118.21/118.47 (define @t354 () (or @t338 @t193 @t353)) % 118.21/118.47 (define @t355 () (and (forall (@list @t350 @t349 @t348) (or (not (tptp.ssItem @t350)) (not (= @t12 (tptp.cons @t350 tptp.nil))) (not (tptp.ssList @t349)) (not (forall @t143 (or @t220 (not (tptp.memberP @t349 @t137)) (not (tptp.lt @t350 @t137))))) (not (tptp.ssList @t348)) (not (= @t1 (tptp.app (tptp.app @t349 @t12) @t348))) (not (forall @t135 (or @t216 (not (tptp.memberP @t348 @t129)) (not (tptp.lt @t129 @t350))))))) @t335)) % 118.21/118.47 (define @t356 () (or @t338 @t193 @t355)) % 118.21/118.47 (define @t357 () (forall @t16 @t356)) % 118.21/118.47 (define @t358 () (or @t292 @t280 @t357)) % 118.21/118.47 (define @t359 () (or @t292 @t280 @t356)) % 118.21/118.47 (define @t360 () (or @t338 @t193 @t292 @t280 @t355)) % 118.21/118.47 (define @t361 () (or @t193 @t292 @t280 @t355)) % 118.21/118.47 (define @t362 () (@var "BOUND_VARIABLE_11220" $$unsorted)) % 118.21/118.47 (define @t363 () (@var "BOUND_VARIABLE_11218" $$unsorted)) % 118.21/118.47 (define @t364 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 118.21/118.47 (define @t365 () (@list @t364 @t363 @t362)) % 118.21/118.47 (define @t366 () (forall @t365 @t335)) % 118.21/118.47 (define @t367 () (not (forall @t135 (or @t216 (not (tptp.memberP @t362 @t129)) (not (tptp.lt @t129 @t364)))))) % 118.21/118.47 (define @t368 () (tptp.app (tptp.app @t363 @t12) @t362)) % 118.21/118.47 (define @t369 () (not (tptp.ssList @t362))) % 118.21/118.47 (define @t370 () (not (forall @t143 (or @t220 (not (tptp.memberP @t363 @t137)) (not (tptp.lt @t364 @t137)))))) % 118.21/118.47 (define @t371 () (not (tptp.ssList @t363))) % 118.21/118.47 (define @t372 () (not (= @t12 (tptp.cons @t364 tptp.nil)))) % 118.21/118.47 (define @t373 () (not (tptp.ssItem @t364))) % 118.21/118.47 (define @t374 () (or @t373 @t372 @t371 @t370 @t369 (not (= @t1 @t368)) @t367)) % 118.21/118.47 (define @t375 () (forall @t365 @t374)) % 118.21/118.47 (define @t376 () (@list @t364 @t363 @t362)) % 118.21/118.47 (define @t377 () (and @t375 @t366)) % 118.21/118.47 (define @t378 () (and @t374 @t335)) % 118.21/118.47 (define @t379 () (forall @t365 @t378)) % 118.21/118.47 (define @t380 () (or @t280 @t379)) % 118.21/118.47 (define @t381 () (or @t280 @t378)) % 118.21/118.47 (define @t382 () (not (= @t1 @t1))) % 118.21/118.47 (define @t383 () (or @t280 @t382 @t378)) % 118.21/118.47 (define @t384 () (or (not (= @t10 tptp.nil)) @t334)) % 118.21/118.47 (define @t385 () (or @t373 @t372 @t371 @t370 @t369 (not (= @t10 @t368)) @t367)) % 118.21/118.47 (define @t386 () (and @t385 @t384)) % 118.21/118.47 (define @t387 () (not @t13)) % 118.21/118.47 (define @t388 () (or @t194 @t387 @t194 @t386)) % 118.21/118.47 (define @t389 () (or @t387 @t194 @t386)) % 118.21/118.47 (define @t390 () (forall @t14 @t389)) % 118.21/118.47 (define @t391 () (forall @t365 @t390)) % 118.21/118.47 (define @t392 () (forall (@list @t364 @t363 @t362 @t10) @t389)) % 118.21/118.47 (define @t393 () (forall (@list @t10 @t364 @t363 @t362) @t389)) % 118.21/118.47 (define @t394 () (forall @t365 @t389)) % 118.21/118.47 (define @t395 () (forall @t365 @t384)) % 118.21/118.47 (define @t396 () (forall @t365 @t385)) % 118.21/118.47 (define @t397 () (@var "BOUND_VARIABLE_11176" $$unsorted)) % 118.21/118.47 (define @t398 () (@var "BOUND_VARIABLE_11174" $$unsorted)) % 118.21/118.47 (define @t399 () (and @t396 @t395)) % 118.21/118.47 (define @t400 () (forall @t365 @t386)) % 118.21/118.47 (define @t401 () (or @t387 @t194 @t400)) % 118.21/118.47 (define @t402 () (not @t130)) % 118.21/118.47 (define @t403 () (not (forall @t135 (or @t216 (not (tptp.memberP @t397 @t129)) @t402)))) % 118.21/118.47 (define @t404 () (not (= @t10 (tptp.app (tptp.app @t398 @t12) @t397)))) % 118.21/118.47 (define @t405 () (not (tptp.ssList @t397))) % 118.21/118.47 (define @t406 () (not @t138)) % 118.21/118.47 (define @t407 () (not (forall @t143 (or @t220 (not (tptp.memberP @t398 @t137)) @t406)))) % 118.21/118.47 (define @t408 () (not (tptp.ssList @t398))) % 118.21/118.47 (define @t409 () (not (= @t12 @t148))) % 118.21/118.47 (define @t410 () (not @t159)) % 118.21/118.47 (define @t411 () (or @t410 @t409 @t408 @t407 @t405 @t404 @t403)) % 118.21/118.47 (define @t412 () (@list @t128 @t398 @t397)) % 118.21/118.47 (define @t413 () (and (forall @t412 @t411) @t384)) % 118.21/118.47 (define @t414 () (or @t387 @t194 @t413)) % 118.21/118.47 (define @t415 () (forall @t14 @t414)) % 118.21/118.47 (define @t416 () (or @t193 @t292 @t415)) % 118.21/118.47 (define @t417 () (or @t193 @t292 @t414)) % 118.21/118.47 (define @t418 () (or @t387 @t194 @t193 @t292 @t413)) % 118.21/118.47 (define @t419 () (or @t194 @t193 @t292 @t413)) % 118.21/118.47 (define @t420 () (or @t408 @t407 @t405 @t404 @t403)) % 118.21/118.47 (define @t421 () (or @t410 @t409 @t420)) % 118.21/118.47 (define @t422 () (forall @t412 @t421)) % 118.21/118.47 (define @t423 () (@list @t398 @t397)) % 118.21/118.47 (define @t424 () (forall @t423 @t421)) % 118.21/118.47 (define @t425 () (forall @t423 @t420)) % 118.21/118.47 (define @t426 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 118.21/118.47 (define @t427 () (or @t410 @t409 @t425)) % 118.21/118.47 (define @t428 () (not (forall @t135 (or @t216 (not (tptp.memberP @t426 @t129)) @t402)))) % 118.21/118.47 (define @t429 () (not (= @t10 (tptp.app @t145 @t426)))) % 118.21/118.47 (define @t430 () (not (tptp.ssList @t426))) % 118.21/118.47 (define @t431 () (not @t140)) % 118.21/118.47 (define @t432 () (or @t220 @t431 @t406)) % 118.21/118.47 (define @t433 () (not (forall @t143 @t432))) % 118.21/118.47 (define @t434 () (not @t155)) % 118.21/118.47 (define @t435 () (or @t434 @t433 @t430 @t429 @t428)) % 118.21/118.47 (define @t436 () (@list @t139 @t426)) % 118.21/118.47 (define @t437 () (forall @t436 @t435)) % 118.21/118.47 (define @t438 () (or @t410 @t409 @t437)) % 118.21/118.47 (define @t439 () (or @t409 @t437)) % 118.21/118.47 (define @t440 () (or @t430 @t429 @t428)) % 118.21/118.47 (define @t441 () (or @t434 @t433 @t440)) % 118.21/118.47 (define @t442 () (forall @t436 @t441)) % 118.21/118.47 (define @t443 () (@list @t426)) % 118.21/118.47 (define @t444 () (forall @t443 @t441)) % 118.21/118.47 (define @t445 () (forall @t443 @t440)) % 118.21/118.47 (define @t446 () (or @t434 @t433 @t445)) % 118.21/118.47 (define @t447 () (not @t132)) % 118.21/118.47 (define @t448 () (or @t216 @t447 @t402)) % 118.21/118.47 (define @t449 () (not (forall @t135 @t448))) % 118.21/118.47 (define @t450 () (not (= @t10 @t146))) % 118.21/118.47 (define @t451 () (not @t151)) % 118.21/118.47 (define @t452 () (or @t451 @t450 @t449)) % 118.21/118.47 (define @t453 () (forall @t153 @t452)) % 118.21/118.47 (define @t454 () (or @t434 @t433 @t453)) % 118.21/118.47 (define @t455 () (forall @t157 @t454)) % 118.21/118.47 (define @t456 () (or @t409 @t455)) % 118.21/118.47 (define @t457 () (or @t409 @t454)) % 118.21/118.47 (define @t458 () (or @t434 @t409 @t433 @t453)) % 118.21/118.47 (define @t459 () (or @t409 @t433 @t453)) % 118.21/118.47 (define @t460 () (or @t409 @t433 @t452)) % 118.21/118.47 (define @t461 () (or @t451 @t409 @t450 @t433 @t449)) % 118.21/118.47 (define @t462 () (or @t409 @t450 @t433 @t449)) % 118.21/118.47 (define @t463 () (forall @t135 (not @t134))) % 118.21/118.47 (define @t464 () (not @t463)) % 118.21/118.47 (define @t465 () (forall @t143 (not @t142))) % 118.21/118.47 (define @t466 () (not @t465)) % 118.21/118.47 (define @t467 () (or @t288 @t287 @t286 @t285 @t284 @t283)) % 118.21/118.47 (define @t468 () (or @t289 @t467)) % 118.21/118.47 (define @t469 () (forall @t291 @t468)) % 118.21/118.47 (define @t470 () (@list @t273 @t272 @t271 @t270)) % 118.21/118.47 (define @t471 () (forall @t470 @t468)) % 118.21/118.47 (define @t472 () (forall @t470 @t467)) % 118.21/118.47 (define @t473 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 118.21/118.47 (define @t474 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 118.21/118.47 (define @t475 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 118.21/118.47 (define @t476 () (or @t289 @t472)) % 118.21/118.47 (define @t477 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t475 @t168) @t474) @t166) @t473)))) % 118.21/118.47 (define @t478 () (not (tptp.ssList @t473))) % 118.21/118.47 (define @t479 () (not (tptp.ssList @t474))) % 118.21/118.47 (define @t480 () (not (tptp.ssList @t475))) % 118.21/118.47 (define @t481 () (not @t187)) % 118.21/118.47 (define @t482 () (or @t481 @t164 @t480 @t479 @t478 @t477)) % 118.21/118.47 (define @t483 () (@list @t27 @t475 @t474 @t473)) % 118.21/118.47 (define @t484 () (forall @t483 @t482)) % 118.21/118.47 (define @t485 () (or @t480 @t479 @t478 @t477)) % 118.21/118.47 (define @t486 () (or @t481 @t164 @t485)) % 118.21/118.47 (define @t487 () (forall @t483 @t486)) % 118.21/118.47 (define @t488 () (@list @t475 @t474 @t473)) % 118.21/118.47 (define @t489 () (forall @t488 @t486)) % 118.21/118.47 (define @t490 () (forall @t488 @t485)) % 118.21/118.47 (define @t491 () (@var "BOUND_VARIABLE_11028" $$unsorted)) % 118.21/118.47 (define @t492 () (@var "BOUND_VARIABLE_11026" $$unsorted)) % 118.21/118.47 (define @t493 () (or @t481 @t164 @t490)) % 118.21/118.47 (define @t494 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t170 @t492) @t166) @t491)))) % 118.21/118.47 (define @t495 () (not (tptp.ssList @t491))) % 118.21/118.47 (define @t496 () (not (tptp.ssList @t492))) % 118.21/118.47 (define @t497 () (not @t183)) % 118.21/118.47 (define @t498 () (or @t497 @t496 @t495 @t494)) % 118.21/118.47 (define @t499 () (@list @t169 @t492 @t491)) % 118.21/118.47 (define @t500 () (forall @t499 @t498)) % 118.21/118.47 (define @t501 () (or @t481 @t164 @t500)) % 118.21/118.47 (define @t502 () (or @t164 @t500)) % 118.21/118.47 (define @t503 () (or @t496 @t495 @t494)) % 118.21/118.47 (define @t504 () (or @t497 @t503)) % 118.21/118.47 (define @t505 () (forall @t499 @t504)) % 118.21/118.47 (define @t506 () (@list @t492 @t491)) % 118.21/118.47 (define @t507 () (forall @t506 @t504)) % 118.21/118.47 (define @t508 () (forall @t506 @t503)) % 118.21/118.47 (define @t509 () (@var "BOUND_VARIABLE_11004" $$unsorted)) % 118.21/118.47 (define @t510 () (or @t497 @t508)) % 118.21/118.47 (define @t511 () (not (= @t2 (tptp.app @t171 @t509)))) % 118.21/118.47 (define @t512 () (not (tptp.ssList @t509))) % 118.21/118.47 (define @t513 () (not @t179)) % 118.21/118.47 (define @t514 () (or @t513 @t512 @t511)) % 118.21/118.47 (define @t515 () (@list @t167 @t509)) % 118.21/118.47 (define @t516 () (forall @t515 @t514)) % 118.21/118.47 (define @t517 () (or @t497 @t516)) % 118.21/118.47 (define @t518 () (forall @t185 @t517)) % 118.21/118.47 (define @t519 () (or @t164 @t518)) % 118.21/118.47 (define @t520 () (or @t164 @t517)) % 118.21/118.47 (define @t521 () (or @t497 @t164 @t516)) % 118.21/118.47 (define @t522 () (or @t164 @t516)) % 118.21/118.47 (define @t523 () (or @t512 @t511)) % 118.21/118.47 (define @t524 () (or @t513 @t523)) % 118.21/118.47 (define @t525 () (forall @t515 @t524)) % 118.21/118.47 (define @t526 () (@list @t509)) % 118.21/118.47 (define @t527 () (forall @t526 @t524)) % 118.21/118.47 (define @t528 () (forall @t526 @t523)) % 118.21/118.47 (define @t529 () (or @t513 @t528)) % 118.21/118.47 (define @t530 () (not (= @t2 @t172))) % 118.21/118.47 (define @t531 () (not @t175)) % 118.21/118.47 (define @t532 () (or @t531 @t530)) % 118.21/118.47 (define @t533 () (forall @t177 @t532)) % 118.21/118.47 (define @t534 () (or @t513 @t533)) % 118.21/118.47 (define @t535 () (forall @t181 @t534)) % 118.21/118.47 (define @t536 () (or @t164 @t535)) % 118.21/118.47 (define @t537 () (or @t164 @t534)) % 118.21/118.47 (define @t538 () (or @t513 @t164 @t533)) % 118.21/118.47 (define @t539 () (or @t164 @t533)) % 118.21/118.47 (define @t540 () (or @t164 @t532)) % 118.21/118.47 (define @t541 () (or @t531 @t530 @t164)) % 118.21/118.47 (define @t542 () (or @t530 @t164)) % 118.21/118.47 (define @t543 () (tptp.ssList @t238)) % 118.21/118.47 (define @t544 () (@quantifiers_skolemize @t237 4)) % 118.21/118.47 (define @t545 () (@quantifiers_skolemize @t237 1)) % 118.21/118.47 (define @t546 () (tptp.cons @t545 tptp.nil)) % 118.21/118.47 (define @t547 () (@quantifiers_skolemize @t237 0)) % 118.21/118.47 (define @t548 () (tptp.cons @t547 tptp.nil)) % 118.21/118.47 (define @t549 () (@quantifiers_skolemize @t237 2)) % 118.21/118.47 (define @t550 () (tptp.app @t549 @t548)) % 118.21/118.47 (define @t551 () (tptp.app @t550 @t238)) % 118.21/118.47 (define @t552 () (tptp.app @t551 @t546)) % 118.21/118.47 (define @t553 () (tptp.app @t552 @t544)) % 118.21/118.47 (define @t554 () (= tptp.nil @t553)) % 118.21/118.47 (define @t555 () (not @t554)) % 118.21/118.47 (define @t556 () (@quantifiers_skolemize @t237 5)) % 118.21/118.47 (define @t557 () (or (not (= tptp.nil @t556)) @t555)) % 118.21/118.47 (define @t558 () (@quantifiers_skolemize @t237 6)) % 118.21/118.47 (define @t559 () (@quantifiers_skolemize @t237 8)) % 118.21/118.47 (define @t560 () (@quantifiers_skolemize @t237 7)) % 118.21/118.47 (define @t561 () (tptp.cons @t558 tptp.nil)) % 118.21/118.47 (define @t562 () (= @t553 @t561)) % 118.21/118.47 (define @t563 () (not @t562)) % 118.21/118.47 (define @t564 () (tptp.ssItem @t558)) % 118.21/118.47 (define @t565 () (not @t564)) % 118.21/118.47 (define @t566 () (or @t565 @t563 (not (tptp.ssList @t560)) (not (forall @t143 (or @t220 (not (tptp.memberP @t560 @t137)) (not (tptp.lt @t558 @t137))))) (not (tptp.ssList @t559)) (not (= @t556 (tptp.app (tptp.app @t560 @t553) @t559))) (not (forall @t135 (or @t216 (not (tptp.memberP @t559 @t129)) (not (tptp.lt @t129 @t558))))))) % 118.21/118.47 (define @t567 () (and @t566 @t557)) % 118.21/118.47 (define @t568 () (tptp.ssList @t544)) % 118.21/118.47 (define @t569 () (not @t568)) % 118.21/118.47 (define @t570 () (not @t543)) % 118.21/118.47 (define @t571 () (tptp.ssList @t549)) % 118.21/118.47 (define @t572 () (not @t571)) % 118.21/118.47 (define @t573 () (tptp.lt @t545 @t547)) % 118.21/118.47 (define @t574 () (not @t573)) % 118.21/118.47 (define @t575 () (tptp.ssItem @t545)) % 118.21/118.47 (define @t576 () (not @t575)) % 118.21/118.47 (define @t577 () (tptp.ssItem @t547)) % 118.21/118.47 (define @t578 () (not @t577)) % 118.21/118.47 (define @t579 () (tptp.ssList @t553)) % 118.21/118.47 (define @t580 () (not @t579)) % 118.21/118.47 (define @t581 () (or @t580 @t578 @t576 @t574 @t572 @t570 @t569 (not (tptp.ssList @t556)) @t567)) % 118.21/118.47 (define @t582 () (@list true)) % 118.21/118.47 (define @t583 () (@list @t581)) % 118.21/118.47 (define @t584 () (tptp.app tptp.nil @t238)) % 118.21/118.47 (define @t585 () (= @t238 @t584)) % 118.21/118.47 (define @t586 () (or @t570 @t585)) % 118.21/118.47 (define @t587 () (@list false false)) % 118.21/118.47 (define @t588 () (tptp.app tptp.nil @t544)) % 118.21/118.47 (define @t589 () (= @t544 @t588)) % 118.21/118.47 (define @t590 () (or @t569 @t589)) % 118.21/118.47 (define @t591 () (@var "BOUND_VARIABLE_10627" $$unsorted)) % 118.21/118.47 (define @t592 () (@var "BOUND_VARIABLE_10625" $$unsorted)) % 118.21/118.47 (define @t593 () (= (tptp.app (tptp.app @t2 @t592) @t591) (tptp.app @t2 (tptp.app @t592 @t591)))) % 118.21/118.47 (define @t594 () (not (tptp.ssList @t591))) % 118.21/118.47 (define @t595 () (not (tptp.ssList @t592))) % 118.21/118.47 (define @t596 () (or @t595 @t594 @t593)) % 118.21/118.47 (define @t597 () (or @t249 @t596)) % 118.21/118.47 (define @t598 () (forall (@list @t2 @t592 @t591) @t597)) % 118.21/118.47 (define @t599 () (@list @t592 @t591)) % 118.21/118.47 (define @t600 () (forall @t599 @t597)) % 118.21/118.47 (define @t601 () (forall @t599 @t596)) % 118.21/118.47 (define @t602 () (@var "BOUND_VARIABLE_10607" $$unsorted)) % 118.21/118.47 (define @t603 () (or @t249 @t601)) % 118.21/118.47 (define @t604 () (= (tptp.app @t71 @t602) (tptp.app @t2 (tptp.app @t1 @t602)))) % 118.21/118.47 (define @t605 () (not (tptp.ssList @t602))) % 118.21/118.47 (define @t606 () (or @t280 @t605 @t604)) % 118.21/118.47 (define @t607 () (@list @t1 @t602)) % 118.21/118.47 (define @t608 () (forall @t607 @t606)) % 118.21/118.47 (define @t609 () (or @t605 @t604)) % 118.21/118.47 (define @t610 () (or @t280 @t609)) % 118.21/118.47 (define @t611 () (forall @t607 @t610)) % 118.21/118.47 (define @t612 () (@list @t602)) % 118.21/118.47 (define @t613 () (forall @t612 @t610)) % 118.21/118.47 (define @t614 () (forall @t612 @t609)) % 118.21/118.47 (define @t615 () (@list @t12)) % 118.21/118.47 (define @t616 () (or @t280 @t614)) % 118.21/118.47 (define @t617 () (forall @t16 (or @t338 @t103))) % 118.21/118.47 (define @t618 () (@var "BOUND_VARIABLE_9183" $$unsorted)) % 118.21/118.47 (define @t619 () (tptp.ssList (tptp.cons @t618 @t2))) % 118.21/118.47 (define @t620 () (not (tptp.ssItem @t618))) % 118.21/118.47 (define @t621 () (or @t620 @t619)) % 118.21/118.47 (define @t622 () (or @t249 @t621)) % 118.21/118.47 (define @t623 () (forall (@list @t2 @t618) @t622)) % 118.21/118.47 (define @t624 () (@list @t618)) % 118.21/118.47 (define @t625 () (forall @t624 @t622)) % 118.21/118.47 (define @t626 () (forall @t624 @t621)) % 118.21/118.47 (define @t627 () (@list @t1)) % 118.21/118.47 (define @t628 () (or @t249 @t626)) % 118.21/118.47 (define @t629 () (not @t6)) % 118.21/118.47 (define @t630 () (forall @t7 (or @t629 @t55))) % 118.21/118.47 (define @t631 () (tptp.ssList @t548)) % 118.21/118.47 (define @t632 () (not @t59)) % 118.21/118.47 (define @t633 () (or @t632 @t578 @t631)) % 118.21/118.47 (define @t634 () (@list false false false)) % 118.21/118.47 (define @t635 () (tptp.app @t548 @t238)) % 118.21/118.47 (define @t636 () (tptp.app @t549 @t635)) % 118.21/118.47 (define @t637 () (= @t551 @t636)) % 118.21/118.47 (define @t638 () (not @t631)) % 118.21/118.47 (define @t639 () (or @t572 @t638 @t570 @t637)) % 118.21/118.47 (define @t640 () (@list false false false false)) % 118.21/118.47 (define @t641 () (@list tptp.nil @t545)) % 118.21/118.47 (define @t642 () (tptp.ssList @t546)) % 118.21/118.47 (define @t643 () (or @t632 @t576 @t642)) % 118.21/118.47 (define @t644 () (@var "BOUND_VARIABLE_9427" $$unsorted)) % 118.21/118.47 (define @t645 () (tptp.ssList (tptp.app @t2 @t644))) % 118.21/118.47 (define @t646 () (not (tptp.ssList @t644))) % 118.21/118.47 (define @t647 () (or @t646 @t645)) % 118.21/118.47 (define @t648 () (or @t249 @t647)) % 118.21/118.47 (define @t649 () (forall (@list @t2 @t644) @t648)) % 118.21/118.47 (define @t650 () (@list @t644)) % 118.21/118.47 (define @t651 () (forall @t650 @t648)) % 118.21/118.47 (define @t652 () (forall @t650 @t647)) % 118.21/118.47 (define @t653 () (or @t249 @t652)) % 118.21/118.47 (define @t654 () (forall @t7 (or @t280 @t72))) % 118.21/118.47 (define @t655 () (tptp.ssList @t550)) % 118.21/118.47 (define @t656 () (or @t572 @t638 @t655)) % 118.21/118.47 (define @t657 () (tptp.ssList @t551)) % 118.21/118.47 (define @t658 () (not @t655)) % 118.21/118.47 (define @t659 () (or @t658 @t570 @t657)) % 118.21/118.47 (define @t660 () (tptp.app @t546 @t544)) % 118.21/118.47 (define @t661 () (tptp.app @t551 @t660)) % 118.21/118.47 (define @t662 () (= @t553 @t661)) % 118.21/118.47 (define @t663 () (not @t642)) % 118.21/118.47 (define @t664 () (not @t657)) % 118.21/118.47 (define @t665 () (or @t664 @t663 @t569 @t662)) % 118.21/118.47 (define @t666 () (@list @t568 @t657 @t642 @t665)) % 118.21/118.47 (define @t667 () (@var "BOUND_VARIABLE_9464" $$unsorted)) % 118.21/118.47 (define @t668 () (@var "BOUND_VARIABLE_9466" $$unsorted)) % 118.21/118.47 (define @t669 () (= (tptp.cons @t668 (tptp.app @t667 @t2)) (tptp.app (tptp.cons @t668 @t667) @t2))) % 118.21/118.47 (define @t670 () (not (tptp.ssItem @t668))) % 118.21/118.47 (define @t671 () (not (tptp.ssList @t667))) % 118.21/118.47 (define @t672 () (or @t249 @t671 @t670 @t669)) % 118.21/118.47 (define @t673 () (or @t671 @t670 @t669)) % 118.21/118.47 (define @t674 () (or @t249 @t673)) % 118.21/118.47 (define @t675 () (@list @t2 @t667 @t668)) % 118.21/118.47 (define @t676 () (forall @t675 @t674)) % 118.21/118.47 (define @t677 () (@list @t667 @t668)) % 118.21/118.47 (define @t678 () (forall @t677 @t674)) % 118.21/118.47 (define @t679 () (forall @t677 @t673)) % 118.21/118.47 (define @t680 () (@var "BOUND_VARIABLE_9446" $$unsorted)) % 118.21/118.47 (define @t681 () (or @t249 @t679)) % 118.21/118.47 (define @t682 () (= (tptp.cons @t680 @t76) (tptp.app (tptp.cons @t680 @t1) @t2))) % 118.21/118.47 (define @t683 () (not (tptp.ssItem @t680))) % 118.21/118.47 (define @t684 () (or @t280 @t683 @t682)) % 118.21/118.47 (define @t685 () (@list @t1 @t680)) % 118.21/118.47 (define @t686 () (forall @t685 @t684)) % 118.21/118.47 (define @t687 () (or @t683 @t682)) % 118.21/118.47 (define @t688 () (or @t280 @t687)) % 118.21/118.47 (define @t689 () (forall @t685 @t688)) % 118.21/118.47 (define @t690 () (@list @t680)) % 118.21/118.47 (define @t691 () (forall @t690 @t688)) % 118.21/118.47 (define @t692 () (forall @t690 @t687)) % 118.21/118.47 (define @t693 () (or @t280 @t692)) % 118.21/118.47 (define @t694 () (not @t36)) % 118.21/118.47 (define @t695 () (forall @t16 (or @t694 @t77))) % 118.21/118.47 (define @t696 () (tptp.cons @t547 @t584)) % 118.21/118.47 (define @t697 () (or @t570 @t632 @t578 (= @t696 @t635))) % 118.21/118.47 (define @t698 () (forall @t675 @t672)) % 118.21/118.47 (define @t699 () (= @t635 @t696)) % 118.21/118.47 (define @t700 () (or @t570 @t632 @t578 @t699)) % 118.21/118.47 (define @t701 () (@list false)) % 118.21/118.47 (define @t702 () (@list @t698)) % 118.21/118.47 (define @t703 () (tptp.cons @t545 @t588)) % 118.21/118.47 (define @t704 () (or @t569 @t632 @t576 (= @t703 @t660))) % 118.21/118.47 (define @t705 () (= @t660 @t703)) % 118.21/118.47 (define @t706 () (or @t569 @t632 @t576 @t705)) % 118.21/118.47 (define @t707 () (@var "BOUND_VARIABLE_8855" $$unsorted)) % 118.21/118.47 (define @t708 () (@var "BOUND_VARIABLE_8849" $$unsorted)) % 118.21/118.47 (define @t709 () (@var "BOUND_VARIABLE_8853" $$unsorted)) % 118.21/118.47 (define @t710 () (@var "BOUND_VARIABLE_8851" $$unsorted)) % 118.21/118.47 (define @t711 () (tptp.app (tptp.app @t710 (tptp.cons @t1 @t709)) (tptp.cons @t708 @t707))) % 118.21/118.47 (define @t712 () (not (= @t2 @t711))) % 118.21/118.47 (define @t713 () (not (tptp.ssList @t707))) % 118.21/118.47 (define @t714 () (not (tptp.ssList @t709))) % 118.21/118.47 (define @t715 () (not (tptp.ssList @t710))) % 118.21/118.47 (define @t716 () (tptp.leq @t1 @t708)) % 118.21/118.47 (define @t717 () (not (tptp.ssItem @t708))) % 118.21/118.47 (define @t718 () (or @t629 @t717 @t716 @t715 @t714 @t713 @t712)) % 118.21/118.47 (define @t719 () (@list @t1 @t708 @t710 @t709 @t707)) % 118.21/118.47 (define @t720 () (= @t49 (forall @t719 @t718))) % 118.21/118.47 (define @t721 () (or @t717 @t716 @t715 @t714 @t713 @t712)) % 118.21/118.47 (define @t722 () (or @t629 @t721)) % 118.21/118.47 (define @t723 () (forall @t719 @t722)) % 118.21/118.47 (define @t724 () (@list @t708 @t710 @t709 @t707)) % 118.21/118.47 (define @t725 () (forall @t724 @t722)) % 118.21/118.47 (define @t726 () (forall @t724 @t721)) % 118.21/118.47 (define @t727 () (@var "BOUND_VARIABLE_8825" $$unsorted)) % 118.21/118.47 (define @t728 () (@var "BOUND_VARIABLE_8823" $$unsorted)) % 118.21/118.47 (define @t729 () (@var "BOUND_VARIABLE_8821" $$unsorted)) % 118.21/118.47 (define @t730 () (or @t629 @t726)) % 118.21/118.47 (define @t731 () (not (= @t2 (tptp.app (tptp.app @t729 (tptp.cons @t1 @t728)) (tptp.cons @t12 @t727))))) % 118.21/118.47 (define @t732 () (not (tptp.ssList @t727))) % 118.21/118.47 (define @t733 () (not (tptp.ssList @t728))) % 118.21/118.47 (define @t734 () (not (tptp.ssList @t729))) % 118.21/118.47 (define @t735 () (or @t694 @t26 @t734 @t733 @t732 @t731)) % 118.21/118.47 (define @t736 () (@list @t12 @t729 @t728 @t727)) % 118.21/118.47 (define @t737 () (forall @t736 @t735)) % 118.21/118.47 (define @t738 () (or @t734 @t733 @t732 @t731)) % 118.21/118.47 (define @t739 () (or @t694 @t26 @t738)) % 118.21/118.47 (define @t740 () (forall @t736 @t739)) % 118.21/118.47 (define @t741 () (@list @t729 @t728 @t727)) % 118.21/118.47 (define @t742 () (forall @t741 @t739)) % 118.21/118.47 (define @t743 () (forall @t741 @t738)) % 118.21/118.47 (define @t744 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 118.21/118.47 (define @t745 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 118.21/118.47 (define @t746 () (or @t694 @t26 @t743)) % 118.21/118.47 (define @t747 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t745)) (tptp.cons @t12 @t744))))) % 118.21/118.47 (define @t748 () (not (tptp.ssList @t744))) % 118.21/118.47 (define @t749 () (not (tptp.ssList @t745))) % 118.21/118.47 (define @t750 () (or @t387 @t749 @t748 @t747)) % 118.21/118.47 (define @t751 () (@list @t10 @t745 @t744)) % 118.21/118.47 (define @t752 () (forall @t751 @t750)) % 118.21/118.47 (define @t753 () (or @t694 @t26 @t752)) % 118.21/118.47 (define @t754 () (or @t26 @t752)) % 118.21/118.47 (define @t755 () (or @t749 @t748 @t747)) % 118.21/118.47 (define @t756 () (or @t387 @t755)) % 118.21/118.47 (define @t757 () (forall @t751 @t756)) % 118.21/118.47 (define @t758 () (@list @t745 @t744)) % 118.21/118.47 (define @t759 () (forall @t758 @t756)) % 118.21/118.47 (define @t760 () (forall @t758 @t755)) % 118.21/118.47 (define @t761 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 118.21/118.47 (define @t762 () (or @t387 @t760)) % 118.21/118.47 (define @t763 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t761))))) % 118.21/118.47 (define @t764 () (not (tptp.ssList @t761))) % 118.21/118.47 (define @t765 () (not @t34)) % 118.21/118.47 (define @t766 () (or @t765 @t764 @t763)) % 118.21/118.47 (define @t767 () (@list @t28 @t761)) % 118.21/118.47 (define @t768 () (forall @t767 @t766)) % 118.21/118.47 (define @t769 () (or @t387 @t768)) % 118.21/118.47 (define @t770 () (forall @t14 @t769)) % 118.21/118.47 (define @t771 () (or @t26 @t770)) % 118.21/118.47 (define @t772 () (or @t26 @t769)) % 118.21/118.47 (define @t773 () (or @t387 @t26 @t768)) % 118.21/118.47 (define @t774 () (or @t26 @t768)) % 118.21/118.47 (define @t775 () (or @t764 @t763)) % 118.21/118.47 (define @t776 () (or @t765 @t775)) % 118.21/118.47 (define @t777 () (forall @t767 @t776)) % 118.21/118.47 (define @t778 () (@list @t761)) % 118.21/118.47 (define @t779 () (forall @t778 @t776)) % 118.21/118.47 (define @t780 () (forall @t778 @t775)) % 118.21/118.47 (define @t781 () (or @t765 @t780)) % 118.21/118.47 (define @t782 () (= @t2 @t30)) % 118.21/118.47 (define @t783 () (not @t782)) % 118.21/118.47 (define @t784 () (not @t32)) % 118.21/118.47 (define @t785 () (or @t784 @t783)) % 118.21/118.47 (define @t786 () (forall @t33 @t785)) % 118.21/118.47 (define @t787 () (or @t765 @t786)) % 118.21/118.47 (define @t788 () (forall @t35 @t787)) % 118.21/118.47 (define @t789 () (or @t26 @t788)) % 118.21/118.47 (define @t790 () (or @t26 @t787)) % 118.21/118.47 (define @t791 () (or @t765 @t26 @t786)) % 118.21/118.47 (define @t792 () (or @t26 @t786)) % 118.21/118.47 (define @t793 () (or @t26 @t785)) % 118.21/118.47 (define @t794 () (or @t784 @t783 @t26)) % 118.21/118.47 (define @t795 () (=> @t782 @t26)) % 118.21/118.47 (define @t796 () (not (= @t553 @t711))) % 118.21/118.47 (define @t797 () (or @t629 @t717 @t716 @t715 @t714 @t713 @t796)) % 118.21/118.47 (define @t798 () (forall @t719 @t797)) % 118.21/118.47 (define @t799 () (tptp.totalorderedP @t553)) % 118.21/118.47 (define @t800 () (= @t799 @t798)) % 118.21/118.47 (define @t801 () (or @t580 @t800)) % 118.21/118.47 (define @t802 () (forall @t9 (or @t249 @t720))) % 118.21/118.47 (define @t803 () (forall @t719 (or @t629 @t717 @t716 @t715 @t714 @t713 (not (= @t711 @t553))))) % 118.21/118.47 (define @t804 () (= @t799 @t803)) % 118.21/118.47 (define @t805 () (or @t580 @t804)) % 118.21/118.47 (define @t806 () (@var "BOUND_VARIABLE_10655" $$unsorted)) % 118.21/118.47 (define @t807 () (and (= @t806 tptp.nil) @t244)) % 118.21/118.47 (define @t808 () (= tptp.nil (tptp.app @t2 @t806))) % 118.21/118.47 (define @t809 () (= @t808 @t807)) % 118.21/118.47 (define @t810 () (not (tptp.ssList @t806))) % 118.21/118.47 (define @t811 () (or @t249 @t810 @t809)) % 118.21/118.47 (define @t812 () (or @t810 @t809)) % 118.21/118.47 (define @t813 () (or @t249 @t812)) % 118.21/118.47 (define @t814 () (@list @t2 @t806)) % 118.21/118.47 (define @t815 () (forall @t814 @t813)) % 118.21/118.47 (define @t816 () (@list @t806)) % 118.21/118.47 (define @t817 () (forall @t816 @t813)) % 118.21/118.47 (define @t818 () (forall @t816 @t812)) % 118.21/118.47 (define @t819 () (or @t249 @t818)) % 118.21/118.47 (define @t820 () (= @t110 (and @t275 @t244))) % 118.21/118.47 (define @t821 () (forall @t7 (or @t280 @t820))) % 118.21/118.47 (define @t822 () (= tptp.nil @t544)) % 118.21/118.47 (define @t823 () (and @t822 (= @t552 tptp.nil))) % 118.21/118.47 (define @t824 () (= @t554 @t823)) % 118.21/118.47 (define @t825 () (tptp.ssList @t552)) % 118.21/118.47 (define @t826 () (not @t825)) % 118.21/118.47 (define @t827 () (or @t826 @t569 @t824)) % 118.21/118.47 (define @t828 () (forall @t814 (or @t249 @t810 (= @t808 (and (= tptp.nil @t806) @t244))))) % 118.21/118.47 (define @t829 () (= tptp.nil @t552)) % 118.21/118.47 (define @t830 () (and @t822 @t829)) % 118.21/118.47 (define @t831 () (= @t554 @t830)) % 118.21/118.47 (define @t832 () (or @t826 @t569 @t831)) % 118.21/118.47 (define @t833 () (@list @t828)) % 118.21/118.47 (define @t834 () (@list @t551 @t546)) % 118.21/118.47 (define @t835 () (or @t664 @t663 @t825)) % 118.21/118.47 (define @t836 () (= tptp.nil @t546)) % 118.21/118.47 (define @t837 () (and @t836 (= @t551 tptp.nil))) % 118.21/118.47 (define @t838 () (= @t829 @t837)) % 118.21/118.47 (define @t839 () (or @t664 @t663 @t838)) % 118.21/118.47 (define @t840 () (and @t836 (= tptp.nil @t551))) % 118.21/118.47 (define @t841 () (= @t829 @t840)) % 118.21/118.47 (define @t842 () (or @t664 @t663 @t841)) % 118.21/118.47 (define @t843 () (@var "BOUND_VARIABLE_9206" $$unsorted)) % 118.21/118.47 (define @t844 () (not (= @t2 (tptp.cons @t843 @t2)))) % 118.21/118.47 (define @t845 () (not (tptp.ssItem @t843))) % 118.21/118.47 (define @t846 () (or @t845 @t844)) % 118.21/118.47 (define @t847 () (or @t249 @t846)) % 118.21/118.47 (define @t848 () (forall (@list @t2 @t843) @t847)) % 118.21/118.47 (define @t849 () (@list @t843)) % 118.21/118.47 (define @t850 () (forall @t849 @t847)) % 118.21/118.47 (define @t851 () (forall @t849 @t846)) % 118.21/118.47 (define @t852 () (or @t249 @t851)) % 118.21/118.47 (define @t853 () (not (= @t2 @t54))) % 118.21/118.47 (define @t854 () (forall @t7 (or @t629 @t853))) % 118.21/118.47 (define @t855 () (not @t836)) % 118.21/118.47 (define @t856 () (or @t632 @t576 @t855)) % 118.21/118.47 (define @t857 () (not @t840)) % 118.21/118.47 (define @t858 () (not @t829)) % 118.21/118.47 (define @t859 () (@list true false)) % 118.21/118.47 (define @t860 () (not @t830)) % 118.21/118.47 (define @t861 () (@list @t566)) % 118.21/118.47 (define @t862 () (tptp.totalorderedP @t561)) % 118.21/118.47 (define @t863 () (or @t565 @t862)) % 118.21/118.47 (define @t864 () (tptp.app (tptp.app @t549 (tptp.cons @t547 @t238)) (tptp.cons @t545 @t544))) % 118.21/118.47 (define @t865 () (not (= @t864 @t553))) % 118.21/118.47 (define @t866 () (tptp.leq @t547 @t545)) % 118.21/118.47 (define @t867 () (or @t578 @t576 @t866 @t572 @t570 @t569 @t865)) % 118.21/118.47 (define @t868 () (= @t553 @t864)) % 118.21/118.47 (define @t869 () (not @t868)) % 118.21/118.47 (define @t870 () (or @t578 @t576 @t866 @t572 @t570 @t569 @t869)) % 118.21/118.47 (define @t871 () (@var "BOUND_VARIABLE_10849" $$unsorted)) % 118.21/118.47 (define @t872 () (tptp.lt @t2 @t871)) % 118.21/118.47 (define @t873 () (@var "BOUND_VARIABLE_10847" $$unsorted)) % 118.21/118.47 (define @t874 () (not (tptp.lt @t873 @t871))) % 118.21/118.47 (define @t875 () (not (tptp.ssItem @t871))) % 118.21/118.47 (define @t876 () (not (tptp.leq @t2 @t873))) % 118.21/118.47 (define @t877 () (not (tptp.ssItem @t873))) % 118.21/118.47 (define @t878 () (not @t8)) % 118.21/118.47 (define @t879 () (or @t877 @t876 @t875 @t874 @t872)) % 118.21/118.47 (define @t880 () (or @t878 @t879)) % 118.21/118.47 (define @t881 () (forall (@list @t2 @t873 @t871) @t880)) % 118.21/118.47 (define @t882 () (@list @t873 @t871)) % 118.21/118.47 (define @t883 () (forall @t882 @t880)) % 118.21/118.47 (define @t884 () (forall @t882 @t879)) % 118.21/118.47 (define @t885 () (@var "BOUND_VARIABLE_10830" $$unsorted)) % 118.21/118.47 (define @t886 () (or @t878 @t884)) % 118.21/118.47 (define @t887 () (tptp.lt @t2 @t885)) % 118.21/118.47 (define @t888 () (not (tptp.lt @t1 @t885))) % 118.21/118.47 (define @t889 () (not (tptp.ssItem @t885))) % 118.21/118.47 (define @t890 () (not @t87)) % 118.21/118.47 (define @t891 () (or @t629 @t890 @t889 @t888 @t887)) % 118.21/118.47 (define @t892 () (@list @t1 @t885)) % 118.21/118.47 (define @t893 () (forall @t892 @t891)) % 118.21/118.47 (define @t894 () (or @t889 @t888 @t887)) % 118.21/118.47 (define @t895 () (or @t629 @t890 @t894)) % 118.21/118.47 (define @t896 () (forall @t892 @t895)) % 118.21/118.47 (define @t897 () (@list @t885)) % 118.21/118.47 (define @t898 () (forall @t897 @t895)) % 118.21/118.47 (define @t899 () (forall @t897 @t894)) % 118.21/118.47 (define @t900 () (or @t629 @t890 @t899)) % 118.21/118.47 (define @t901 () (not @t37)) % 118.21/118.47 (define @t902 () (or @t694 @t901 @t91)) % 118.21/118.47 (define @t903 () (forall @t16 @t902)) % 118.21/118.47 (define @t904 () (or @t629 @t890 @t903)) % 118.21/118.47 (define @t905 () (or @t890 @t903)) % 118.21/118.47 (define @t906 () (or @t890 @t902)) % 118.21/118.47 (define @t907 () (or @t694 @t890 @t901 @t91)) % 118.21/118.47 (define @t908 () (or @t890 @t901 @t91)) % 118.21/118.47 (define @t909 () (tptp.lt @t547 @t547)) % 118.21/118.47 (define @t910 () (not @t909)) % 118.21/118.47 (define @t911 () (or @t578 @t910)) % 118.21/118.47 (define @t912 () (not @t866)) % 118.21/118.47 (define @t913 () (or @t578 @t576 @t912 @t578 @t574 @t909)) % 118.21/118.47 (define @t914 () (not @t705)) % 118.21/118.47 (define @t915 () (not @t699)) % 118.21/118.47 (define @t916 () (not @t662)) % 118.21/118.47 (define @t917 () (not @t637)) % 118.21/118.47 (define @t918 () (not @t589)) % 118.21/118.47 (define @t919 () (not @t585)) % 118.21/118.47 (define @t920 () (and @t869 @t868)) % 118.21/118.47 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 118.21/118.47 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 118.21/118.47 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 118.21/118.47 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 118.21/118.47 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 118.21/118.47 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 118.21/118.47 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 118.21/118.47 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 118.21/118.47 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 118.21/118.47 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 118.21/118.47 (assume @p11 @t52) % 118.21/118.47 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t37))))))))))))))) % 118.21/118.47 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 118.21/118.47 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 118.21/118.47 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 118.21/118.47 (assume @p16 @t58) % 118.21/118.47 (assume @p17 @t59) % 118.21/118.47 (assume @p18 @t64) % 118.21/118.47 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t65))))))))))) % 118.21/118.47 (assume @p20 (forall @t9 (=> @t17 (or @t67 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t66 @t2))))))))) % 118.21/118.47 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 118.21/118.47 (assume @p22 (forall @t9 (=> @t17 (=> @t69 (tptp.ssItem @t68))))) % 118.21/118.47 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 118.21/118.47 (assume @p24 (forall @t9 (=> @t17 (=> @t69 (tptp.ssList @t70))))) % 118.21/118.47 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 118.21/118.47 (assume @p26 @t75) % 118.21/118.47 (assume @p27 @t82) % 118.21/118.47 (assume @p28 @t85) % 118.21/118.47 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t87 @t86) @t3)))))) % 118.21/118.47 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t87 @t26) (tptp.leq @t2 @t12))))))))) % 118.21/118.47 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 118.21/118.47 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t88 @t86)))))) % 118.21/118.47 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t90 (not @t89))))))) % 118.21/118.47 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t90 @t37) @t91)))))))) % 118.21/118.47 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t89)))))) % 118.21/118.47 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 118.21/118.47 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 118.21/118.47 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 118.21/118.47 (assume @p39 (not (tptp.singletonP tptp.nil))) % 118.21/118.47 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 118.21/118.47 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 118.21/118.47 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 118.21/118.47 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 118.21/118.47 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 118.21/118.47 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 118.21/118.47 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t67)))) % 118.21/118.47 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 118.21/118.47 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 118.21/118.47 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 118.21/118.47 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t94 @t1))))))))) % 118.21/118.47 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 118.21/118.47 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t67)))) % 118.21/118.47 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 118.21/118.47 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 118.21/118.47 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 118.21/118.47 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t94 @t10) @t1))))))))))) % 118.21/118.47 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 118.21/118.47 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t67)))) % 118.21/118.47 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 118.21/118.47 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 118.21/118.47 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 118.21/118.47 (assume @p62 (tptp.totalorderP tptp.nil)) % 118.21/118.47 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 118.21/118.47 (assume @p64 (tptp.strictorderP tptp.nil)) % 118.21/118.47 (assume @p65 @t97) % 118.21/118.47 (assume @p66 (tptp.totalorderedP tptp.nil)) % 118.21/118.47 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t101) (or @t99 (and @t100 (tptp.totalorderedP @t1) (tptp.leq @t2 @t98))))))))) % 118.21/118.47 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 118.21/118.47 (assume @p69 (tptp.strictorderedP tptp.nil)) % 118.21/118.47 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t101) (or @t99 (and @t100 (tptp.strictorderedP @t1) (tptp.lt @t2 @t98))))))))) % 118.21/118.47 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 118.21/118.47 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 118.21/118.47 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 118.21/118.47 (assume @p74 (tptp.equalelemsP tptp.nil)) % 118.21/118.47 (assume @p75 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t6 (= @t68 @t1))))))) % 118.21/118.47 (assume @p76 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t21 (= @t70 @t1))))))) % 118.21/118.47 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t100 @t69 (= @t98 @t68) (= (tptp.tl @t1) @t70)) @t65)))))) % 118.21/118.47 (assume @p78 (forall @t9 (=> @t17 (=> @t69 (= (tptp.cons @t68 @t70) @t2))))) % 118.21/118.47 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t71) @t102)))))))) % 118.21/118.47 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t76) @t102)))))))) % 118.21/118.47 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 118.21/118.47 (assume @p82 @t108) % 118.21/118.47 (assume @p83 @t115) % 118.21/118.47 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 118.21/118.47 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.hd @t71) @t68))))))) % 118.21/118.47 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.tl @t71) (tptp.app @t70 @t1)))))))) % 118.21/118.47 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 (tptp.geq @t1 @t2)) @t3)))))) % 118.21/118.47 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t88 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 118.21/118.47 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 118.21/118.47 (assume @p90 @t117) % 118.21/118.47 (assume @p91 @t124) % 118.21/118.47 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (or @t3 @t90))))))) % 118.21/118.47 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t90 (and @t4 @t87))))))) % 118.21/118.47 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 118.21/118.47 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 118.21/118.47 (assume @p96 @t204) % 118.21/118.47 (assume @p97 true) % 118.21/118.47 (step @p98 :rule bool-impl-elim :args (@t17 @t205)) % 118.21/118.47 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t205)))) % 118.21/118.47 (step @p100 :rule eq-symm :args (@t83 @t2)) % 118.21/118.47 (step @p101 :rule refl :args (@t17)) % 118.21/118.47 (step @p102 :rule cong :premises (@p101 @p100) :args (@t84)) % 118.21/118.47 (step @p103 :rule cong :premises (@p102) :args (@t85)) % 118.21/118.47 (step @p104 :rule trans :premises (@p103 @p99)) % 118.21/118.47 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 118.21/118.47 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t238))) % 118.21/118.47 (step @p107 :rule aci_norm :args ((= (or @t234 @t233 @t232 @t231 @t230 @t229 @t228 false @t227 @t226) @t235))) % 118.21/118.47 (step @p108 :rule eq-symm :args (@t211 tptp.nil)) % 118.21/118.47 (step @p109 :rule cong :premises (@p108) :args (@t239)) % 118.21/118.47 (step @p110 :rule refl :args (@t213)) % 118.21/118.47 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t240)) % 118.21/118.47 (step @p112 :rule refl :args (@t225)) % 118.21/118.47 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t241)) % 118.21/118.47 (step @p114 :rule refl :args (@t227)) % 118.21/118.47 (step @p115 :rule evaluate :args ((not true))) % 118.21/118.47 (step @p116 :rule eq-refl :args (@t211)) % 118.21/118.47 (step @p117 :rule cong :premises (@p116) :args (@t242)) % 118.21/118.47 (step @p118 :rule trans :premises (@p117 @p115)) % 118.21/118.47 (step @p119 :rule refl :args (@t228)) % 118.21/118.47 (step @p120 :rule refl :args (@t229)) % 118.21/118.47 (step @p121 :rule refl :args (@t230)) % 118.21/118.47 (step @p122 :rule refl :args (@t231)) % 118.21/118.47 (step @p123 :rule refl :args (@t232)) % 118.21/118.47 (step @p124 :rule refl :args (@t233)) % 118.21/118.47 (step @p125 :rule refl :args (@t234)) % 118.21/118.47 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p114 @p113) :args (@t243)) % 118.21/118.47 (step @p127 :rule trans :premises (@p126 @p107)) % 118.21/118.47 (step @p128 :rule cong :premises (@p127) :args ((forall @t236 @t243))) % 118.21/118.47 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t9 @t250) @t243))) % 118.21/118.47 (step @p130 :rule aci_norm :args ((= @t251 @t250))) % 118.21/118.47 (step @p131 :rule cong :premises (@p130) :args (@t252)) % 118.21/118.47 (step @p132 :rule trans :premises (@p131 @p129)) % 118.21/118.47 (step @p133 :rule cong :premises (@p132) :args (@t253)) % 118.21/118.47 (step @p134 :rule quant-merge-prenex :args ((= @t253 @t254))) % 118.21/118.47 (step @p135 :rule symm :premises (@p134)) % 118.21/118.47 (step @p136 :rule quant_var_reordering :args ((= (forall @t255 @t251) @t254))) % 118.21/118.47 (step @p137 :rule trans :premises (@p136 @p135 @p133)) % 118.21/118.47 (step @p138 :rule trans :premises (@p137 @p128)) % 118.21/118.47 (step @p139 :rule refl :args (@t245)) % 118.21/118.47 (step @p140 :rule eq-symm :args (@t212 tptp.nil)) % 118.21/118.47 (step @p141 :rule cong :premises (@p140) :args (@t256)) % 118.21/118.47 (step @p142 :rule nary_cong :premises (@p141 @p139) :args (@t257)) % 118.21/118.47 (step @p143 :rule refl :args (@t246)) % 118.21/118.47 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t258)) % 118.21/118.47 (step @p145 :rule refl :args (@t248)) % 118.21/118.47 (step @p146 :rule refl :args (@t249)) % 118.21/118.47 (step @p147 :rule nary_cong :premises (@p146 @p124 @p123 @p122 @p121 @p120 @p119 @p145 @p114 @p144) :args (@t259)) % 118.21/118.47 (step @p148 :rule aci_norm :args ((= @t262 @t259))) % 118.21/118.47 (step @p149 :rule trans :premises (@p148 @p147)) % 118.21/118.47 (step @p150 :rule cong :premises (@p149) :args (@t263)) % 118.21/118.47 (step @p151 :rule trans :premises (@p150 @p138)) % 118.21/118.47 (step @p152 :rule quant-merge-prenex :args ((= (forall @t9 @t264) @t263))) % 118.21/118.47 (step @p153 :rule alpha_equiv :args (@t265 (@list @t212 @t214 @t218 @t215) (@list @t1 @t268 @t267 @t266))) % 118.21/118.47 (step @p154 :rule alpha_equiv :args (@t269 (@list @t209 @t207 @t210 @t208 @t206) (@list @t28 @t273 @t272 @t271 @t270))) % 118.21/118.47 (step @p155 :rule refl :args (@t249)) % 118.21/118.47 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args (@t274)) % 118.21/118.47 (step @p157 :rule quant-miniscope-or :args ((= @t264 @t274))) % 118.21/118.47 (step @p158 :rule trans :premises (@p157 @p156)) % 118.21/118.47 (step @p159 :rule symm :premises (@p158)) % 118.21/118.47 (step @p160 :rule cong :premises (@p159) :args ((forall @t9 @t293))) % 118.21/118.47 (step @p161 :rule trans :premises (@p160 @p152)) % 118.21/118.47 (step @p162 :rule trans :premises (@p161 @p151)) % 118.21/118.47 (step @p163 :rule aci_norm :args ((= (or @t249 @t294) @t293))) % 118.21/118.47 (step @p164 :rule bool-impl-elim :args (@t17 @t294)) % 118.21/118.47 (step @p165 :rule trans :premises (@p164 @p163)) % 118.21/118.47 (step @p166 :rule cong :premises (@p165) :args ((forall @t9 (=> @t17 @t294)))) % 118.21/118.47 (step @p167 :rule trans :premises (@p166 @p162)) % 118.21/118.47 (step @p168 :rule quant-merge-prenex :args ((= (forall @t7 @t296) @t282))) % 118.21/118.47 (step @p169 :rule quant-unused-vars :args ((= @t297 @t277))) % 118.21/118.47 (step @p170 :rule alpha_equiv :args (@t298 (@list @t268 @t267 @t266) @t302)) % 118.21/118.47 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t303)) % 118.21/118.47 (step @p172 :rule quant-miniscope-and :args ((= @t304 @t303))) % 118.21/118.47 (step @p173 :rule trans :premises (@p172 @p171)) % 118.21/118.47 (step @p174 :rule refl :args (@t280)) % 118.21/118.47 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t305)) % 118.21/118.47 (step @p176 :rule quant-miniscope-or :args ((= @t296 @t305))) % 118.21/118.47 (step @p177 :rule trans :premises (@p176 @p175)) % 118.21/118.47 (step @p178 :rule symm :premises (@p177)) % 118.21/118.47 (step @p179 :rule cong :premises (@p178) :args (@t308)) % 118.21/118.47 (step @p180 :rule trans :premises (@p179 @p168)) % 118.21/118.47 (step @p181 :rule refl :args (@t292)) % 118.21/118.47 (step @p182 :rule nary_cong :premises (@p181 @p146 @p180) :args (@t309)) % 118.21/118.47 (step @p183 :rule quant-miniscope-or :args ((= (forall @t7 @t310) @t309))) % 118.21/118.47 (step @p184 :rule aci_norm :args ((= @t311 @t310))) % 118.21/118.47 (step @p185 :rule cong :premises (@p184) :args ((forall @t7 @t311))) % 118.21/118.47 (step @p186 :rule trans :premises (@p185 @p183)) % 118.21/118.47 (step @p187 :rule trans :premises (@p186 @p182)) % 118.21/118.47 (step @p188 :rule aci_norm :args ((= (or @t280 @t312) @t311))) % 118.21/118.47 (step @p189 :rule bool-impl-elim :args (@t21 @t312)) % 118.21/118.47 (step @p190 :rule trans :premises (@p189 @p188)) % 118.21/118.47 (step @p191 :rule cong :premises (@p190) :args ((forall @t7 (=> @t21 @t312)))) % 118.21/118.47 (step @p192 :rule trans :premises (@p191 @p187)) % 118.21/118.47 (step @p193 :rule aci_norm :args ((= (or @t292 @t280 (or @t249 @t306)) @t312))) % 118.21/118.47 (step @p194 :rule quant-unused-vars :args ((= @t317 @t277))) % 118.21/118.47 (step @p195 :rule alpha_equiv :args (@t325 @t326 @t302)) % 118.21/118.47 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t327)) % 118.21/118.47 (step @p197 :rule quant-miniscope-and :args ((= @t329 @t327))) % 118.21/118.47 (step @p198 :rule trans :premises (@p197 @p196)) % 118.21/118.47 (step @p199 :rule nary_cong :premises (@p146 @p198) :args (@t330)) % 118.21/118.47 (step @p200 :rule quant-miniscope-or :args ((= (forall @t316 @t331) @t330))) % 118.21/118.47 (step @p201 :rule trans :premises (@p200 @p199)) % 118.21/118.47 (step @p202 :rule aci_norm :args ((= (or @t249 false @t328) @t331))) % 118.21/118.47 (step @p203 :rule refl :args (@t328)) % 118.21/118.47 (step @p204 :rule eq-refl :args (@t2)) % 118.21/118.47 (step @p205 :rule cong :premises (@p204) :args (@t332)) % 118.21/118.47 (step @p206 :rule trans :premises (@p205 @p115)) % 118.21/118.47 (step @p207 :rule nary_cong :premises (@p146 @p206 @p203) :args (@t333)) % 118.21/118.47 (step @p208 :rule trans :premises (@p207 @p202)) % 118.21/118.47 (step @p209 :rule cong :premises (@p208) :args ((forall @t316 @t333))) % 118.21/118.47 (step @p210 :rule trans :premises (@p209 @p201)) % 118.21/118.47 (step @p211 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t102) @t338 @t193 @t337)) @t333))) % 118.21/118.47 (step @p212 :rule refl :args (@t337)) % 118.21/118.47 (step @p213 :rule refl :args (@t193)) % 118.21/118.47 (step @p214 :rule refl :args (@t338)) % 118.21/118.47 (step @p215 :rule eq-symm :args (@t2 @t12)) % 118.21/118.47 (step @p216 :rule cong :premises (@p215) :args (@t193)) % 118.21/118.47 (step @p217 :rule nary_cong :premises (@p216 @p214 @p213 @p212) :args (@t339)) % 118.21/118.47 (step @p218 :rule aci_norm :args ((= @t340 @t339))) % 118.21/118.47 (step @p219 :rule trans :premises (@p218 @p217)) % 118.21/118.47 (step @p220 :rule cong :premises (@p219) :args (@t341)) % 118.21/118.47 (step @p221 :rule trans :premises (@p220 @p211)) % 118.21/118.47 (step @p222 :rule cong :premises (@p221) :args (@t342)) % 118.21/118.47 (step @p223 :rule quant-merge-prenex :args ((= @t342 @t343))) % 118.21/118.47 (step @p224 :rule symm :premises (@p223)) % 118.21/118.47 (step @p225 :rule quant_var_reordering :args ((= @t344 @t343))) % 118.21/118.47 (step @p226 :rule trans :premises (@p225 @p224 @p222)) % 118.21/118.47 (step @p227 :rule trans :premises (@p226 @p210)) % 118.21/118.47 (step @p228 :rule quant-merge-prenex :args ((= (forall @t16 @t345) @t344))) % 118.21/118.47 (step @p229 :rule quant-unused-vars :args ((= @t346 @t335))) % 118.21/118.47 (step @p230 :rule alpha_equiv :args (@t347 @t326 @t351)) % 118.21/118.47 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t352)) % 118.21/118.47 (step @p232 :rule quant-miniscope-and :args ((= @t353 @t352))) % 118.21/118.47 (step @p233 :rule trans :premises (@p232 @p231)) % 118.21/118.47 (step @p234 :rule nary_cong :premises (@p214 @p213 @p233) :args (@t354)) % 118.21/118.47 (step @p235 :rule quant-miniscope-or :args ((= @t345 @t354))) % 118.21/118.47 (step @p236 :rule trans :premises (@p235 @p234)) % 118.21/118.47 (step @p237 :rule symm :premises (@p236)) % 118.21/118.47 (step @p238 :rule cong :premises (@p237) :args (@t357)) % 118.21/118.47 (step @p239 :rule trans :premises (@p238 @p228)) % 118.21/118.47 (step @p240 :rule trans :premises (@p239 @p227)) % 118.21/118.47 (step @p241 :rule refl :args (@t280)) % 118.21/118.47 (step @p242 :rule nary_cong :premises (@p181 @p241 @p240) :args (@t358)) % 118.21/118.47 (step @p243 :rule trans :premises (@p242 @p193)) % 118.21/118.47 (step @p244 :rule quant-miniscope-or :args ((= (forall @t16 @t359) @t358))) % 118.21/118.47 (step @p245 :rule aci_norm :args ((= @t360 @t359))) % 118.21/118.47 (step @p246 :rule cong :premises (@p245) :args ((forall @t16 @t360))) % 118.21/118.47 (step @p247 :rule trans :premises (@p246 @p244)) % 118.21/118.47 (step @p248 :rule trans :premises (@p247 @p243)) % 118.21/118.47 (step @p249 :rule aci_norm :args ((= (or @t338 @t361) @t360))) % 118.21/118.47 (step @p250 :rule bool-impl-elim :args (@t15 @t361)) % 118.21/118.47 (step @p251 :rule trans :premises (@p250 @p249)) % 118.21/118.47 (step @p252 :rule cong :premises (@p251) :args ((forall @t16 (=> @t15 @t361)))) % 118.21/118.47 (step @p253 :rule trans :premises (@p252 @p248)) % 118.21/118.47 (step @p254 :rule aci_norm :args ((= (or @t193 @t292 (or @t280 @t355)) @t361))) % 118.21/118.47 (step @p255 :rule quant-unused-vars :args ((= @t366 @t335))) % 118.21/118.47 (step @p256 :rule alpha_equiv :args (@t375 @t376 @t351)) % 118.21/118.47 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t377)) % 118.21/118.47 (step @p258 :rule quant-miniscope-and :args ((= @t379 @t377))) % 118.21/118.47 (step @p259 :rule trans :premises (@p258 @p257)) % 118.21/118.47 (step @p260 :rule nary_cong :premises (@p241 @p259) :args (@t380)) % 118.21/118.47 (step @p261 :rule quant-miniscope-or :args ((= (forall @t365 @t381) @t380))) % 118.21/118.47 (step @p262 :rule trans :premises (@p261 @p260)) % 118.21/118.47 (step @p263 :rule aci_norm :args ((= (or @t280 false @t378) @t381))) % 118.21/118.47 (step @p264 :rule refl :args (@t378)) % 118.21/118.47 (step @p265 :rule eq-refl :args (@t1)) % 118.21/118.47 (step @p266 :rule cong :premises (@p265) :args (@t382)) % 118.21/118.47 (step @p267 :rule trans :premises (@p266 @p115)) % 118.21/118.47 (step @p268 :rule nary_cong :premises (@p241 @p267 @p264) :args (@t383)) % 118.21/118.47 (step @p269 :rule trans :premises (@p268 @p263)) % 118.21/118.47 (step @p270 :rule cong :premises (@p269) :args ((forall @t365 @t383))) % 118.21/118.47 (step @p271 :rule trans :premises (@p270 @p262)) % 118.21/118.47 (step @p272 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t387 @t194 @t386)) @t383))) % 118.21/118.47 (step @p273 :rule refl :args (@t386)) % 118.21/118.47 (step @p274 :rule refl :args (@t194)) % 118.21/118.47 (step @p275 :rule refl :args (@t387)) % 118.21/118.47 (step @p276 :rule eq-symm :args (@t1 @t10)) % 118.21/118.47 (step @p277 :rule cong :premises (@p276) :args (@t194)) % 118.21/118.47 (step @p278 :rule nary_cong :premises (@p277 @p275 @p274 @p273) :args (@t388)) % 118.21/118.47 (step @p279 :rule aci_norm :args ((= @t389 @t388))) % 118.21/118.47 (step @p280 :rule trans :premises (@p279 @p278)) % 118.21/118.47 (step @p281 :rule cong :premises (@p280) :args (@t390)) % 118.21/118.47 (step @p282 :rule trans :premises (@p281 @p272)) % 118.21/118.47 (step @p283 :rule cong :premises (@p282) :args (@t391)) % 118.21/118.47 (step @p284 :rule quant-merge-prenex :args ((= @t391 @t392))) % 118.21/118.47 (step @p285 :rule symm :premises (@p284)) % 118.21/118.47 (step @p286 :rule quant_var_reordering :args ((= @t393 @t392))) % 118.21/118.47 (step @p287 :rule trans :premises (@p286 @p285 @p283)) % 118.21/118.47 (step @p288 :rule trans :premises (@p287 @p271)) % 118.21/118.47 (step @p289 :rule quant-merge-prenex :args ((= (forall @t14 @t394) @t393))) % 118.21/118.47 (step @p290 :rule quant-unused-vars :args ((= @t395 @t384))) % 118.21/118.47 (step @p291 :rule alpha_equiv :args (@t396 @t376 (@list @t128 @t398 @t397))) % 118.21/118.47 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t399)) % 118.21/118.47 (step @p293 :rule quant-miniscope-and :args ((= @t400 @t399))) % 118.21/118.47 (step @p294 :rule trans :premises (@p293 @p292)) % 118.21/118.47 (step @p295 :rule nary_cong :premises (@p275 @p274 @p294) :args (@t401)) % 118.21/118.47 (step @p296 :rule quant-miniscope-or :args ((= @t394 @t401))) % 118.21/118.47 (step @p297 :rule trans :premises (@p296 @p295)) % 118.21/118.47 (step @p298 :rule symm :premises (@p297)) % 118.21/118.47 (step @p299 :rule cong :premises (@p298) :args (@t415)) % 118.21/118.47 (step @p300 :rule trans :premises (@p299 @p289)) % 118.21/118.47 (step @p301 :rule trans :premises (@p300 @p288)) % 118.21/118.47 (step @p302 :rule refl :args (@t193)) % 118.21/118.47 (step @p303 :rule nary_cong :premises (@p302 @p181 @p301) :args (@t416)) % 118.21/118.47 (step @p304 :rule trans :premises (@p303 @p254)) % 118.21/118.47 (step @p305 :rule quant-miniscope-or :args ((= (forall @t14 @t417) @t416))) % 118.21/118.47 (step @p306 :rule aci_norm :args ((= @t418 @t417))) % 118.21/118.47 (step @p307 :rule cong :premises (@p306) :args ((forall @t14 @t418))) % 118.21/118.47 (step @p308 :rule trans :premises (@p307 @p305)) % 118.21/118.47 (step @p309 :rule trans :premises (@p308 @p304)) % 118.21/118.47 (step @p310 :rule aci_norm :args ((= (or @t387 @t419) @t418))) % 118.21/118.47 (step @p311 :rule bool-impl-elim :args (@t13 @t419)) % 118.21/118.47 (step @p312 :rule trans :premises (@p311 @p310)) % 118.21/118.47 (step @p313 :rule cong :premises (@p312) :args ((forall @t14 (=> @t13 @t419)))) % 118.21/118.47 (step @p314 :rule trans :premises (@p313 @p309)) % 118.21/118.47 (step @p315 :rule eq-symm :args (tptp.nil @t12)) % 118.21/118.47 (step @p316 :rule cong :premises (@p315) :args (@t125)) % 118.21/118.47 (step @p317 :rule eq-symm :args (tptp.nil @t10)) % 118.21/118.47 (step @p318 :rule cong :premises (@p317) :args (@t126)) % 118.21/118.47 (step @p319 :rule nary_cong :premises (@p318 @p316) :args (@t127)) % 118.21/118.47 (step @p320 :rule aci_norm :args ((= @t421 @t411))) % 118.21/118.47 (step @p321 :rule cong :premises (@p320) :args (@t422)) % 118.21/118.47 (step @p322 :rule quant-merge-prenex :args ((= (forall @t161 @t424) @t422))) % 118.21/118.47 (step @p323 :rule alpha_equiv :args (@t425 (@list @t398 @t397) (@list @t139 @t426))) % 118.21/118.47 (step @p324 :rule refl :args (@t409)) % 118.21/118.47 (step @p325 :rule refl :args (@t410)) % 118.21/118.47 (step @p326 :rule nary_cong :premises (@p325 @p324 @p323) :args (@t427)) % 118.21/118.47 (step @p327 :rule quant-miniscope-or :args ((= @t424 @t427))) % 118.21/118.47 (step @p328 :rule trans :premises (@p327 @p326)) % 118.21/118.47 (step @p329 :rule symm :premises (@p328)) % 118.21/118.47 (step @p330 :rule cong :premises (@p329) :args ((forall @t161 @t438))) % 118.21/118.47 (step @p331 :rule trans :premises (@p330 @p322)) % 118.21/118.47 (step @p332 :rule trans :premises (@p331 @p321)) % 118.21/118.47 (step @p333 :rule aci_norm :args ((= (or @t410 @t439) @t438))) % 118.21/118.47 (step @p334 :rule bool-impl-elim :args (@t159 @t439)) % 118.21/118.47 (step @p335 :rule trans :premises (@p334 @p333)) % 118.21/118.47 (step @p336 :rule cong :premises (@p335) :args ((forall @t161 (=> @t159 @t439)))) % 118.21/118.47 (step @p337 :rule trans :premises (@p336 @p332)) % 118.21/118.47 (step @p338 :rule aci_norm :args ((= @t441 @t435))) % 118.21/118.47 (step @p339 :rule cong :premises (@p338) :args (@t442)) % 118.21/118.47 (step @p340 :rule quant-merge-prenex :args ((= (forall @t157 @t444) @t442))) % 118.21/118.47 (step @p341 :rule alpha_equiv :args (@t445 (@list @t426) (@list @t131))) % 118.21/118.47 (step @p342 :rule refl :args (@t433)) % 118.21/118.47 (step @p343 :rule refl :args (@t434)) % 118.21/118.47 (step @p344 :rule nary_cong :premises (@p343 @p342 @p341) :args (@t446)) % 118.21/118.47 (step @p345 :rule quant-miniscope-or :args ((= @t444 @t446))) % 118.21/118.47 (step @p346 :rule trans :premises (@p345 @p344)) % 118.21/118.47 (step @p347 :rule symm :premises (@p346)) % 118.21/118.47 (step @p348 :rule cong :premises (@p347) :args (@t455)) % 118.21/118.47 (step @p349 :rule trans :premises (@p348 @p340)) % 118.21/118.47 (step @p350 :rule trans :premises (@p349 @p339)) % 118.21/118.47 (step @p351 :rule refl :args (@t409)) % 118.21/118.47 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t456)) % 118.21/118.47 (step @p353 :rule quant-miniscope-or :args ((= (forall @t157 @t457) @t456))) % 118.21/118.47 (step @p354 :rule aci_norm :args ((= @t458 @t457))) % 118.21/118.47 (step @p355 :rule cong :premises (@p354) :args ((forall @t157 @t458))) % 118.21/118.47 (step @p356 :rule trans :premises (@p355 @p353)) % 118.21/118.47 (step @p357 :rule trans :premises (@p356 @p352)) % 118.21/118.47 (step @p358 :rule aci_norm :args ((= (or @t434 @t459) @t458))) % 118.21/118.47 (step @p359 :rule bool-impl-elim :args (@t155 @t459)) % 118.21/118.47 (step @p360 :rule trans :premises (@p359 @p358)) % 118.21/118.47 (step @p361 :rule cong :premises (@p360) :args ((forall @t157 (=> @t155 @t459)))) % 118.21/118.47 (step @p362 :rule trans :premises (@p361 @p357)) % 118.21/118.47 (step @p363 :rule quant-miniscope-or :args ((= (forall @t153 @t460) @t459))) % 118.21/118.47 (step @p364 :rule aci_norm :args ((= @t461 @t460))) % 118.21/118.47 (step @p365 :rule cong :premises (@p364) :args ((forall @t153 @t461))) % 118.21/118.47 (step @p366 :rule trans :premises (@p365 @p363)) % 118.21/118.47 (step @p367 :rule aci_norm :args ((= (or @t451 @t462) @t461))) % 118.21/118.47 (step @p368 :rule bool-impl-elim :args (@t151 @t462)) % 118.21/118.47 (step @p369 :rule trans :premises (@p368 @p367)) % 118.21/118.47 (step @p370 :rule cong :premises (@p369) :args ((forall @t153 (=> @t151 @t462)))) % 118.21/118.47 (step @p371 :rule trans :premises (@p370 @p366)) % 118.21/118.47 (step @p372 :rule aci_norm :args ((= (or @t216 (or @t447 @t402)) @t448))) % 118.21/118.47 (step @p373 :rule bool-and-de-morgan :args (@t132 @t130 true)) % 118.21/118.47 (step @p374 :rule refl :args (@t216)) % 118.21/118.47 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t216 (not (and @t132 @t130))))) % 118.21/118.47 (step @p376 :rule bool-and-de-morgan :args (@t133 @t132 (and @t130))) % 118.21/118.47 (step @p377 :rule trans :premises (@p376 @p375)) % 118.21/118.47 (step @p378 :rule trans :premises (@p377 @p372)) % 118.21/118.47 (step @p379 :rule cong :premises (@p378) :args (@t463)) % 118.21/118.47 (step @p380 :rule cong :premises (@p379) :args (@t464)) % 118.21/118.47 (step @p381 :rule exists-elim :args ((= @t136 @t464))) % 118.21/118.47 (step @p382 :rule trans :premises (@p381 @p380)) % 118.21/118.47 (step @p383 :rule aci_norm :args ((= (or @t220 (or @t431 @t406)) @t432))) % 118.21/118.47 (step @p384 :rule bool-and-de-morgan :args (@t140 @t138 true)) % 118.21/118.47 (step @p385 :rule refl :args (@t220)) % 118.21/118.47 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t220 (not (and @t140 @t138))))) % 118.21/118.47 (step @p387 :rule bool-and-de-morgan :args (@t141 @t140 (and @t138))) % 118.21/118.47 (step @p388 :rule trans :premises (@p387 @p386)) % 118.21/118.47 (step @p389 :rule trans :premises (@p388 @p383)) % 118.21/118.47 (step @p390 :rule cong :premises (@p389) :args (@t465)) % 118.21/118.47 (step @p391 :rule cong :premises (@p390) :args (@t466)) % 118.21/118.47 (step @p392 :rule exists-elim :args ((= @t144 @t466))) % 118.21/118.47 (step @p393 :rule trans :premises (@p392 @p391)) % 118.21/118.47 (step @p394 :rule eq-symm :args (@t146 @t10)) % 118.21/118.47 (step @p395 :rule cong :premises (@p394) :args (@t147)) % 118.21/118.47 (step @p396 :rule eq-symm :args (@t148 @t12)) % 118.21/118.47 (step @p397 :rule cong :premises (@p396) :args (@t149)) % 118.21/118.47 (step @p398 :rule nary_cong :premises (@p397 @p395 @p393 @p382) :args (@t150)) % 118.21/118.47 (step @p399 :rule refl :args (@t151)) % 118.21/118.47 (step @p400 :rule cong :premises (@p399 @p398) :args (@t152)) % 118.21/118.47 (step @p401 :rule cong :premises (@p400) :args (@t154)) % 118.21/118.47 (step @p402 :rule trans :premises (@p401 @p371)) % 118.21/118.47 (step @p403 :rule refl :args (@t155)) % 118.21/118.47 (step @p404 :rule cong :premises (@p403 @p402) :args (@t156)) % 118.21/118.47 (step @p405 :rule cong :premises (@p404) :args (@t158)) % 118.21/118.47 (step @p406 :rule trans :premises (@p405 @p362)) % 118.21/118.47 (step @p407 :rule refl :args (@t159)) % 118.21/118.47 (step @p408 :rule cong :premises (@p407 @p406) :args (@t160)) % 118.21/118.47 (step @p409 :rule cong :premises (@p408) :args (@t162)) % 118.21/118.47 (step @p410 :rule trans :premises (@p409 @p337)) % 118.21/118.47 (step @p411 :rule nary_cong :premises (@p410 @p319) :args (@t163)) % 118.21/118.47 (step @p412 :rule aci_norm :args ((= @t468 @t290))) % 118.21/118.47 (step @p413 :rule cong :premises (@p412) :args (@t469)) % 118.21/118.47 (step @p414 :rule quant-merge-prenex :args ((= (forall @t35 @t471) @t469))) % 118.21/118.47 (step @p415 :rule alpha_equiv :args (@t472 (@list @t273 @t272 @t271 @t270) (@list @t27 @t475 @t474 @t473))) % 118.21/118.47 (step @p416 :rule refl :args (@t289)) % 118.21/118.47 (step @p417 :rule nary_cong :premises (@p416 @p415) :args (@t476)) % 118.21/118.47 (step @p418 :rule quant-miniscope-or :args ((= @t471 @t476))) % 118.21/118.47 (step @p419 :rule trans :premises (@p418 @p417)) % 118.21/118.47 (step @p420 :rule symm :premises (@p419)) % 118.21/118.47 (step @p421 :rule cong :premises (@p420) :args ((forall @t35 (or @t289 @t484)))) % 118.21/118.47 (step @p422 :rule trans :premises (@p421 @p414)) % 118.21/118.47 (step @p423 :rule trans :premises (@p422 @p413)) % 118.21/118.47 (step @p424 :rule bool-impl-elim :args (@t190 @t484)) % 118.21/118.47 (step @p425 :rule cong :premises (@p424) :args ((forall @t35 (=> @t190 @t484)))) % 118.21/118.47 (step @p426 :rule trans :premises (@p425 @p423)) % 118.21/118.47 (step @p427 :rule aci_norm :args ((= @t486 @t482))) % 118.21/118.47 (step @p428 :rule cong :premises (@p427) :args (@t487)) % 118.21/118.47 (step @p429 :rule quant-merge-prenex :args ((= (forall @t33 @t489) @t487))) % 118.21/118.47 (step @p430 :rule alpha_equiv :args (@t490 (@list @t475 @t474 @t473) (@list @t169 @t492 @t491))) % 118.21/118.47 (step @p431 :rule refl :args (@t164)) % 118.21/118.47 (step @p432 :rule refl :args (@t481)) % 118.21/118.47 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430) :args (@t493)) % 118.21/118.47 (step @p434 :rule quant-miniscope-or :args ((= @t489 @t493))) % 118.21/118.47 (step @p435 :rule trans :premises (@p434 @p433)) % 118.21/118.47 (step @p436 :rule symm :premises (@p435)) % 118.21/118.47 (step @p437 :rule cong :premises (@p436) :args ((forall @t33 @t501))) % 118.21/118.47 (step @p438 :rule trans :premises (@p437 @p429)) % 118.21/118.47 (step @p439 :rule trans :premises (@p438 @p428)) % 118.21/118.47 (step @p440 :rule aci_norm :args ((= (or @t481 @t502) @t501))) % 118.21/118.47 (step @p441 :rule bool-impl-elim :args (@t187 @t502)) % 118.21/118.47 (step @p442 :rule trans :premises (@p441 @p440)) % 118.21/118.47 (step @p443 :rule cong :premises (@p442) :args ((forall @t33 (=> @t187 @t502)))) % 118.21/118.47 (step @p444 :rule trans :premises (@p443 @p439)) % 118.21/118.47 (step @p445 :rule aci_norm :args ((= @t504 @t498))) % 118.21/118.47 (step @p446 :rule cong :premises (@p445) :args (@t505)) % 118.21/118.47 (step @p447 :rule quant-merge-prenex :args ((= (forall @t185 @t507) @t505))) % 118.21/118.47 (step @p448 :rule alpha_equiv :args (@t508 (@list @t492 @t491) (@list @t167 @t509))) % 118.21/118.47 (step @p449 :rule refl :args (@t497)) % 118.21/118.47 (step @p450 :rule nary_cong :premises (@p449 @p448) :args (@t510)) % 118.21/118.47 (step @p451 :rule quant-miniscope-or :args ((= @t507 @t510))) % 118.21/118.47 (step @p452 :rule trans :premises (@p451 @p450)) % 118.21/118.47 (step @p453 :rule symm :premises (@p452)) % 118.21/118.47 (step @p454 :rule cong :premises (@p453) :args (@t518)) % 118.21/118.47 (step @p455 :rule trans :premises (@p454 @p447)) % 118.21/118.47 (step @p456 :rule trans :premises (@p455 @p446)) % 118.21/118.47 (step @p457 :rule refl :args (@t164)) % 118.21/118.47 (step @p458 :rule nary_cong :premises (@p457 @p456) :args (@t519)) % 118.21/118.47 (step @p459 :rule quant-miniscope-or :args ((= (forall 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(step @p1012 :rule instantiate :premises (@p1011) :args (@t641)) % 118.21/118.48 (step @p1013 :rule cnf_or_pos :args (@t856)) % 118.21/118.48 (step @p1014 :rule reordering :premises (@p1013) :args ((or @t632 @t576 @t855 (not @t856)))) % 118.21/118.48 (step @p1015 :rule chain_m_resolution :premises (@p1014 @p17 @p648 @p1012) :args (@t855 @t634 (@list @t59 @t575 @t856))) % 118.21/118.48 (step @p1016 :rule cnf_and_pos :args (@t840 0)) % 118.21/118.48 (step @p1017 :rule reordering :premises (@p1016) :args ((or @t836 @t857))) % 118.21/118.48 (step @p1018 :rule chain_m_resolution :premises (@p1017 @p1015) :args (@t857 @t582 (@list @t836))) % 118.21/118.48 (step @p1019 :rule cnf_equiv_pos1 :args (@t841)) % 118.21/118.48 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t840 @t858 (not @t841)))) % 118.21/118.48 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p1018 @p986) :args (@t858 @t859 (@list @t840 @t841))) % 118.21/118.48 (step @p1022 :rule cnf_and_pos :args (@t830 1)) 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(step @p1082 :rule quant-miniscope-or :args ((= @t883 @t886))) % 118.21/118.48 (step @p1083 :rule trans :premises (@p1082 @p1081)) % 118.21/118.48 (step @p1084 :rule symm :premises (@p1083)) % 118.21/118.48 (step @p1085 :rule cong :premises (@p1084) :args ((forall @t9 (or @t878 @t893)))) % 118.21/118.48 (step @p1086 :rule trans :premises (@p1085 @p1078)) % 118.21/118.48 (step @p1087 :rule trans :premises (@p1086 @p1077)) % 118.21/118.48 (step @p1088 :rule bool-impl-elim :args (@t8 @t893)) % 118.21/118.48 (step @p1089 :rule cong :premises (@p1088) :args ((forall @t9 (=> @t8 @t893)))) % 118.21/118.48 (step @p1090 :rule trans :premises (@p1089 @p1087)) % 118.21/118.48 (step @p1091 :rule aci_norm :args ((= @t895 @t891))) % 118.21/118.48 (step @p1092 :rule cong :premises (@p1091) :args (@t896)) % 118.21/118.48 (step @p1093 :rule quant-merge-prenex :args ((= (forall @t7 @t898) @t896))) % 118.21/118.48 (step @p1094 :rule alpha_equiv :args (@t899 (@list @t885) @t615)) % 118.21/118.48 (step @p1095 :rule refl :args (@t890)) % 118.21/118.48 (step @p1096 :rule nary_cong :premises (@p758 @p1095 @p1094) :args (@t900)) % 118.21/118.48 (step @p1097 :rule quant-miniscope-or :args ((= @t898 @t900))) % 118.21/118.48 (step @p1098 :rule trans :premises (@p1097 @p1096)) % 118.21/118.48 (step @p1099 :rule symm :premises (@p1098)) % 118.21/118.48 (step @p1100 :rule cong :premises (@p1099) :args ((forall @t7 @t904))) % 118.21/118.48 (step @p1101 :rule trans :premises (@p1100 @p1093)) % 118.21/118.48 (step @p1102 :rule trans :premises (@p1101 @p1092)) % 118.21/118.48 (step @p1103 :rule aci_norm :args ((= (or @t629 @t905) @t904))) % 118.21/118.48 (step @p1104 :rule bool-impl-elim :args (@t6 @t905)) % 118.21/118.48 (step @p1105 :rule trans :premises (@p1104 @p1103)) % 118.21/118.48 (step @p1106 :rule cong :premises (@p1105) :args ((forall @t7 (=> @t6 @t905)))) % 118.21/118.48 (step @p1107 :rule trans :premises (@p1106 @p1102)) % 118.21/118.48 (step @p1108 :rule quant-miniscope-or :args ((= (forall @t16 @t906) @t905))) % 118.21/118.48 (step @p1109 :rule aci_norm :args ((= @t907 @t906))) % 118.21/118.48 (step @p1110 :rule cong :premises (@p1109) :args ((forall @t16 @t907))) % 118.21/118.48 (step @p1111 :rule trans :premises (@p1110 @p1108)) % 118.21/118.48 (step @p1112 :rule aci_norm :args ((= (or @t694 @t908) @t907))) % 118.21/118.48 (step @p1113 :rule aci_norm :args ((= (or (or @t890 @t901) @t91) @t908))) % 118.21/118.48 (step @p1114 :rule refl :args (@t91)) % 118.21/118.48 (step @p1115 :rule bool-and-de-morgan :args (@t87 @t37 true)) % 118.21/118.48 (step @p1116 :rule nary_cong :premises (@p1115 @p1114) :args ((or (not @t118) @t91))) % 118.21/118.48 (step @p1117 :rule trans :premises (@p1116 @p1113)) % 118.21/118.48 (step @p1118 :rule bool-impl-elim :args (@t118 @t91)) % 118.21/118.48 (step @p1119 :rule trans :premises (@p1118 @p1117)) % 118.21/118.48 (step @p1120 :rule nary_cong :premises (@p774 @p1119) :args ((or @t694 @t119))) % 118.21/118.48 (step @p1121 :rule trans :premises (@p1120 @p1112)) % 118.21/118.48 (step @p1122 :rule bool-impl-elim :args (@t36 @t119)) % 118.21/118.48 (step @p1123 :rule trans :premises (@p1122 @p1121)) % 118.21/118.48 (step @p1124 :rule cong :premises (@p1123) :args (@t120)) % 118.21/118.48 (step @p1125 :rule trans :premises (@p1124 @p1111)) % 118.21/118.48 (step @p1126 :rule cong :premises (@p863 @p1125) :args (@t121)) % 118.21/118.48 (step @p1127 :rule cong :premises (@p1126) :args (@t122)) % 118.21/118.48 (step @p1128 :rule trans :premises (@p1127 @p1107)) % 118.21/118.48 (step @p1129 :rule refl :args (@t8)) % 118.21/118.48 (step @p1130 :rule cong :premises (@p1129 @p1128) :args (@t123)) % 118.21/118.48 (step @p1131 :rule cong :premises (@p1130) :args (@t124)) % 118.21/118.48 (step @p1132 :rule trans :premises (@p1131 @p1090)) % 118.21/118.48 (step @p1133 :rule eq_resolve :premises (@p91 @p1132)) % 118.21/118.48 (step @p1134 :rule instantiate :premises (@p1133) :args ((@list @t547 @t545 @t547))) % 118.21/118.48 (step @p1135 :rule bool-impl-elim :args (@t8 @t116)) % 118.21/118.48 (step @p1136 :rule cong :premises (@p1135) :args (@t117)) % 118.21/118.48 (step @p1137 :rule eq_resolve :premises (@p90 @p1136)) % 118.21/118.48 (step @p1138 :rule instantiate :premises (@p1137) :args ((@list @t547))) % 118.21/118.48 (step @p1139 :rule cnf_or_pos :args (@t911)) % 118.21/118.48 (step @p1140 :rule reordering :premises (@p1139) :args ((or @t578 @t910 (not @t911)))) % 118.21/118.48 (step @p1141 :rule chain_m_resolution :premises (@p1140 @p628 @p1138) :args (@t910 @t587 (@list @t577 @t911))) % 118.21/118.48 (step @p1142 :rule bool-double-not-elim :args (@t573)) % 118.21/118.48 (step @p1143 :rule nary_cong :premises (@p545 @p1142) :args ((or @t581 (not @t574)))) % 118.21/118.48 (step @p1144 :rule cnf_or_neg :args (@t581 3)) % 118.21/118.48 (step @p1145 :rule eq_resolve :premises (@p1144 @p1143)) % 118.21/118.48 (step @p1146 :rule reordering :premises (@p1145) :args ((or @t573 @t581))) % 118.21/118.48 (step @p1147 :rule chain_m_resolution :premises (@p1146 @p543) :args (@t573 @t582 @t583)) % 118.21/118.48 (step @p1148 :rule cnf_or_pos :args (@t913)) % 118.21/118.48 (step @p1149 :rule factoring :premises (@p1148)) % 118.21/118.48 (step @p1150 :rule reordering :premises (@p1149) :args ((or @t578 @t576 @t574 @t912 @t909 (not @t913)))) % 118.21/118.48 (step @p1151 :rule chain_m_resolution :premises (@p1150 @p628 @p648 @p1147 @p1141 @p1134) :args (@t912 (@list false false false true false) (@list @t577 @t575 @t573 @t909 @t913))) % 118.21/118.48 (step @p1152 :rule cnf_or_pos :args (@t870)) % 118.21/118.48 (step @p1153 :rule reordering :premises (@p1152) :args ((or @t578 @t576 @t572 @t570 @t569 @t866 @t869 (not @t870)))) % 118.21/118.48 (step @p1154 :rule chain_m_resolution :premises (@p1153 @p628 @p648 @p637 @p550 @p560 @p1151 @p1075) :args (@t869 (@list false false false false false true false) (@list @t577 @t575 @t571 @t543 @t568 @t866 @t870))) % 118.21/118.48 (step @p1155 :rule bool-double-not-elim :args (@t868)) % 118.21/118.48 (step @p1156 :rule refl :args (@t914)) % 118.21/118.48 (step @p1157 :rule refl :args (@t915)) % 118.21/118.48 (step @p1158 :rule refl :args (@t916)) % 118.21/118.48 (step @p1159 :rule refl :args (@t917)) % 118.21/118.48 (step @p1160 :rule refl :args (@t918)) % 118.21/118.48 (step @p1161 :rule refl :args (@t919)) % 118.21/118.48 (step @p1162 :rule nary_cong :premises (@p1161 @p1160 @p1159 @p1158 @p1157 @p1156 @p1155) :args ((or @t919 @t918 @t917 @t916 @t915 @t914 (not @t869)))) % 118.21/118.48 (assume-push @p1222 @t869) % 118.21/118.48 (assume-push @p1223 @t868) % 118.21/118.48 (step @p1165 :rule evaluate :args ((= true false))) % 118.21/118.48 (step @p1166 :rule false_intro :premises (@p1154)) % 118.21/118.48 (step @p1167 :rule symm :premises (@p563)) % 118.21/118.48 (step @p1168 :rule refl :args (@t545)) % 118.21/118.48 (step @p1169 :rule cong :premises (@p1168 @p1167) :args (@t703)) % 118.21/118.48 (step @p1170 :rule trans :premises (@p751 @p1169)) % 118.21/118.48 (step @p1171 :rule symm :premises (@p553)) % 118.21/118.48 (step @p1172 :rule refl :args (@t547)) % 118.21/118.48 (step @p1173 :rule cong :premises (@p1172 @p1171) :args (@t696)) % 118.21/118.48 (step @p1174 :rule trans :premises (@p736 @p1173)) % 118.21/118.48 (step @p1175 :rule refl :args (@t549)) % 118.21/118.48 (step @p1176 :rule cong :premises (@p1175 @p1174) :args (@t636)) % 118.21/118.48 (step @p1177 :rule trans :premises (@p640 @p1176)) % 118.21/118.48 (step @p1178 :rule cong :premises (@p1177 @p1170) :args (@t661)) % 118.21/118.48 (step @p1179 :rule chain_m_resolution :premises (@p681 @p560 @p679 @p651 @p641) :args (@t662 @t640 @t666)) % 118.21/118.48 (step @p1180 :rule trans :premises (@p1179 @p1178)) % 118.21/118.48 (step @p1181 :rule true_intro :premises (@p1180)) % 118.21/118.48 (step @p1182 :rule symm :premises (@p1181)) % 118.21/118.48 (step @p1183 :rule trans :premises (@p1182 @p1166)) % 118.21/118.48 (step @p1184 false :rule eq_resolve :premises (@p1183 @p1165)) % 118.21/118.48 (step-pop @p1224 :rule scope :premises (@p1184)) % 118.21/118.48 (step-pop @p1225 :rule scope :premises (@p1224)) % 118.21/118.48 (step @p1185 :rule process_scope :premises (@p1225) :args (false)) % 118.21/118.48 (assume-push @p1226 @t585) % 118.21/118.48 (assume-push @p1227 @t589) % 118.21/118.48 (assume-push @p1228 @t637) % 118.21/118.48 (assume-push @p1229 @t662) % 118.21/118.48 (assume-push @p1230 @t699) % 118.21/118.48 (assume-push @p1231 @t705) % 118.21/118.48 (assume-push @p1232 @t869) % 118.21/118.48 (step @p1167 :rule symm :premises (@p563)) % 118.21/118.48 (step @p1168 :rule refl :args (@t545)) % 118.21/118.48 (step @p1169 :rule cong :premises (@p1168 @p1167) :args (@t703)) % 118.21/118.48 (step @p1170 :rule trans :premises (@p751 @p1169)) % 118.21/118.48 (step @p1171 :rule symm :premises (@p553)) % 118.21/118.48 (step @p1172 :rule refl :args (@t547)) % 118.21/118.48 (step @p1173 :rule cong :premises (@p1172 @p1171) :args (@t696)) % 118.21/118.48 (step @p1174 :rule trans :premises (@p736 @p1173)) % 118.21/118.48 (step @p1175 :rule refl :args (@t549)) % 118.21/118.48 (step @p1176 :rule cong :premises (@p1175 @p1174) :args (@t636)) % 118.21/118.48 (step @p1177 :rule trans :premises (@p640 @p1176)) % 118.21/118.48 (step @p1178 :rule cong :premises (@p1177 @p1170) :args (@t661)) % 118.21/118.48 (step @p1195 :rule trans :premises (@p682 @p1178)) % 118.21/118.48 (step @p1196 :rule and_intro :premises (@p1154 @p1195)) % 118.21/118.48 (step-pop @p1233 :rule scope :premises (@p1196)) % 118.21/118.48 (step-pop @p1234 :rule scope :premises (@p1233)) % 118.21/118.48 (step-pop @p1235 :rule scope :premises (@p1234)) % 118.21/118.48 (step-pop @p1236 :rule scope :premises (@p1235)) % 118.21/118.48 (step-pop @p1237 :rule scope :premises (@p1236)) % 118.21/118.48 (step-pop @p1238 :rule scope :premises (@p1237)) % 118.21/118.48 (step-pop @p1239 :rule scope :premises (@p1238)) % 118.21/118.48 (step @p1197 :rule process_scope :premises (@p1239) :args (@t920)) % 118.21/118.48 (step @p1205 :rule implies_elim :premises (@p1197)) % 118.21/118.48 (step @p1206 :rule resolution :premises (@p1205 @p1185) :args (true @t920)) % 118.21/118.48 (step @p1207 :rule not_and :premises (@p1206)) % 118.21/118.48 (step @p1208 :rule eq_resolve :premises (@p1207 @p1162)) % 118.21/118.48 (step @p1209 false :rule chain_m_resolution :premises (@p1208 @p1154 @p751 @p736 @p682 @p640 @p563 @p553) :args (false (@list true false false false false false false) (@list @t868 @t705 @t699 @t662 @t637 @t589 @t585))) % 118.21/118.48 ) % 118.21/118.48 % SZS output end Proof % 118.21/118.48 % cvc5 exiting %------------------------------------------------------------------------------