%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC072+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:57:56 AM UTC 2026 % Result : Theorem 114.11s 114.32s % Output : Proof 114.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC072+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:12:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 114.11/114.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.11/114.32 --- Run --no-e-matching --full-saturate-quant at 6... % 114.11/114.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.11/114.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.11/114.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.11/114.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.11/114.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.11/114.32 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.11/114.32 % SZS status Theorem % 114.11/114.32 % SZS output start Proof % 114.11/114.32 ( % 114.11/114.32 (declare-sort $$unsorted 0) % 114.11/114.32 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 114.11/114.32 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 114.11/114.32 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 114.11/114.32 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 114.11/114.32 (declare-const tptp.nil $$unsorted) % 114.11/114.32 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.ssList (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 114.11/114.32 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 114.11/114.32 (define @t1 () (@var "V" $$unsorted)) % 114.11/114.32 (define @t2 () (@var "U" $$unsorted)) % 114.11/114.32 (define @t3 () (= @t2 @t1)) % 114.11/114.32 (define @t4 () (not @t3)) % 114.11/114.32 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 114.11/114.32 (define @t6 () (tptp.ssItem @t1)) % 114.11/114.32 (define @t7 () (@list @t1)) % 114.11/114.32 (define @t8 () (tptp.ssItem @t2)) % 114.11/114.32 (define @t9 () (@list @t2)) % 114.11/114.32 (define @t10 () (@var "X" $$unsorted)) % 114.11/114.32 (define @t11 () (tptp.cons @t1 @t10)) % 114.11/114.32 (define @t12 () (@var "W" $$unsorted)) % 114.11/114.32 (define @t13 () (tptp.ssList @t10)) % 114.11/114.32 (define @t14 () (@list @t10)) % 114.11/114.32 (define @t15 () (tptp.ssList @t12)) % 114.11/114.32 (define @t16 () (@list @t12)) % 114.11/114.32 (define @t17 () (tptp.ssList @t2)) % 114.11/114.32 (define @t18 () (tptp.cons @t1 tptp.nil)) % 114.11/114.32 (define @t19 () (tptp.app @t1 @t12)) % 114.11/114.32 (define @t20 () (tptp.frontsegP @t2 @t1)) % 114.11/114.32 (define @t21 () (tptp.ssList @t1)) % 114.11/114.32 (define @t22 () (tptp.app @t12 @t1)) % 114.11/114.32 (define @t23 () (tptp.rearsegP @t2 @t1)) % 114.11/114.32 (define @t24 () (tptp.segmentP @t2 @t1)) % 114.11/114.32 (define @t25 () (tptp.leq @t12 @t1)) % 114.11/114.32 (define @t26 () (tptp.leq @t1 @t12)) % 114.11/114.32 (define @t27 () (@var "Z" $$unsorted)) % 114.11/114.32 (define @t28 () (@var "Y" $$unsorted)) % 114.11/114.32 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 114.11/114.32 (define @t30 () (tptp.ssList @t27)) % 114.11/114.32 (define @t31 () (@list @t27)) % 114.11/114.32 (define @t32 () (tptp.ssList @t28)) % 114.11/114.32 (define @t33 () (@list @t28)) % 114.11/114.32 (define @t34 () (tptp.ssItem @t12)) % 114.11/114.32 (define @t35 () (tptp.lt @t1 @t12)) % 114.11/114.32 (define @t36 () (= @t1 @t12)) % 114.11/114.32 (define @t37 () (forall @t7 (=> @t21 @t5))) % 114.11/114.32 (define @t38 () (=> @t17 @t37)) % 114.11/114.32 (define @t39 () (forall @t9 @t38)) % 114.11/114.32 (define @t40 () (tptp.cons @t1 @t2)) % 114.11/114.32 (define @t41 () (tptp.ssList @t40)) % 114.11/114.32 (define @t42 () (forall @t7 (=> @t6 @t41))) % 114.11/114.32 (define @t43 () (=> @t17 @t42)) % 114.11/114.32 (define @t44 () (forall @t9 @t43)) % 114.11/114.32 (define @t45 () (tptp.ssList tptp.nil)) % 114.11/114.32 (define @t46 () (not (= @t40 @t2))) % 114.11/114.32 (define @t47 () (=> @t6 @t46)) % 114.11/114.32 (define @t48 () (forall @t7 @t47)) % 114.11/114.32 (define @t49 () (=> @t17 @t48)) % 114.11/114.32 (define @t50 () (forall @t9 @t49)) % 114.11/114.32 (define @t51 () (= @t1 @t2)) % 114.11/114.32 (define @t52 () (tptp.cons @t12 @t1)) % 114.11/114.32 (define @t53 () (= tptp.nil @t2)) % 114.11/114.32 (define @t54 () (tptp.hd @t2)) % 114.11/114.32 (define @t55 () (tptp.ssItem @t54)) % 114.11/114.32 (define @t56 () (not @t53)) % 114.11/114.32 (define @t57 () (=> @t56 @t55)) % 114.11/114.32 (define @t58 () (=> @t17 @t57)) % 114.11/114.32 (define @t59 () (forall @t9 @t58)) % 114.11/114.32 (define @t60 () (tptp.tl @t2)) % 114.11/114.32 (define @t61 () (tptp.ssList @t60)) % 114.11/114.32 (define @t62 () (=> @t56 @t61)) % 114.11/114.32 (define @t63 () (=> @t17 @t62)) % 114.11/114.32 (define @t64 () (forall @t9 @t63)) % 114.11/114.32 (define @t65 () (tptp.app @t2 @t1)) % 114.11/114.32 (define @t66 () (tptp.ssList @t65)) % 114.11/114.32 (define @t67 () (forall @t7 (=> @t21 @t66))) % 114.11/114.32 (define @t68 () (=> @t17 @t67)) % 114.11/114.32 (define @t69 () (forall @t9 @t68)) % 114.11/114.32 (define @t70 () (tptp.app @t1 @t2)) % 114.11/114.32 (define @t71 () (= (tptp.cons @t12 @t70) (tptp.app @t52 @t2))) % 114.11/114.32 (define @t72 () (forall @t16 (=> @t34 @t71))) % 114.11/114.32 (define @t73 () (=> @t21 @t72)) % 114.11/114.32 (define @t74 () (forall @t7 @t73)) % 114.11/114.32 (define @t75 () (=> @t17 @t74)) % 114.11/114.32 (define @t76 () (forall @t9 @t75)) % 114.11/114.32 (define @t77 () (tptp.app tptp.nil @t2)) % 114.11/114.32 (define @t78 () (=> @t17 (= @t77 @t2))) % 114.11/114.32 (define @t79 () (forall @t9 @t78)) % 114.11/114.32 (define @t80 () (tptp.leq @t1 @t2)) % 114.11/114.32 (define @t81 () (tptp.leq @t2 @t1)) % 114.11/114.32 (define @t82 () (tptp.geq @t2 @t1)) % 114.11/114.32 (define @t83 () (tptp.lt @t1 @t2)) % 114.11/114.32 (define @t84 () (tptp.lt @t2 @t1)) % 114.11/114.32 (define @t85 () (tptp.lt @t2 @t12)) % 114.11/114.32 (define @t86 () (tptp.gt @t2 @t1)) % 114.11/114.32 (define @t87 () (tptp.memberP @t12 @t2)) % 114.11/114.32 (define @t88 () (tptp.app @t12 @t2)) % 114.11/114.32 (define @t89 () (tptp.segmentP @t2 @t2)) % 114.11/114.32 (define @t90 () (forall @t9 (=> @t17 @t89))) % 114.11/114.32 (define @t91 () (tptp.segmentP (tptp.app @t88 @t10) @t1)) % 114.11/114.32 (define @t92 () (=> @t24 @t91)) % 114.11/114.32 (define @t93 () (forall @t14 (=> @t13 @t92))) % 114.11/114.32 (define @t94 () (=> @t15 @t93)) % 114.11/114.32 (define @t95 () (forall @t16 @t94)) % 114.11/114.32 (define @t96 () (=> @t21 @t95)) % 114.11/114.32 (define @t97 () (forall @t7 @t96)) % 114.11/114.32 (define @t98 () (=> @t17 @t97)) % 114.11/114.32 (define @t99 () (forall @t9 @t98)) % 114.11/114.32 (define @t100 () (tptp.cons @t2 tptp.nil)) % 114.11/114.32 (define @t101 () (tptp.hd @t1)) % 114.11/114.32 (define @t102 () (= tptp.nil @t1)) % 114.11/114.32 (define @t103 () (not @t102)) % 114.11/114.32 (define @t104 () (tptp.cons @t2 @t1)) % 114.11/114.32 (define @t105 () (tptp.tl @t1)) % 114.11/114.32 (define @t106 () (tptp.cons @t54 @t60)) % 114.11/114.32 (define @t107 () (=> @t56 (= @t106 @t2))) % 114.11/114.32 (define @t108 () (=> @t17 @t107)) % 114.11/114.32 (define @t109 () (forall @t9 @t108)) % 114.11/114.32 (define @t110 () (= @t12 @t2)) % 114.11/114.32 (define @t111 () (and @t102 @t53)) % 114.11/114.32 (define @t112 () (= tptp.nil @t65)) % 114.11/114.32 (define @t113 () (= @t112 @t111)) % 114.11/114.32 (define @t114 () (=> @t21 @t113)) % 114.11/114.32 (define @t115 () (forall @t7 @t114)) % 114.11/114.32 (define @t116 () (=> @t17 @t115)) % 114.11/114.32 (define @t117 () (forall @t9 @t116)) % 114.11/114.32 (define @t118 () (tptp.app @t2 tptp.nil)) % 114.11/114.32 (define @t119 () (=> @t17 (= @t118 @t2))) % 114.11/114.32 (define @t120 () (forall @t9 @t119)) % 114.11/114.32 (define @t121 () (tptp.neq @t10 tptp.nil)) % 114.11/114.32 (define @t122 () (tptp.neq tptp.nil @t10)) % 114.11/114.32 (define @t123 () (@var "X3" $$unsorted)) % 114.11/114.32 (define @t124 () (tptp.hd @t10)) % 114.11/114.32 (define @t125 () (@var "X2" $$unsorted)) % 114.11/114.32 (define @t126 () (tptp.cons @t123 tptp.nil)) % 114.11/114.32 (define @t127 () (tptp.ssItem @t123)) % 114.11/114.32 (define @t128 () (and @t127 (= @t126 @t125) (= @t124 @t123) @t122)) % 114.11/114.32 (define @t129 () (@list @t123)) % 114.11/114.32 (define @t130 () (exists @t129 @t128)) % 114.11/114.32 (define @t131 () (@var "X1" $$unsorted)) % 114.11/114.32 (define @t132 () (tptp.app @t131 @t125)) % 114.11/114.32 (define @t133 () (tptp.tl @t10)) % 114.11/114.32 (define @t134 () (tptp.ssList @t125)) % 114.11/114.32 (define @t135 () (and @t134 (= @t133 @t131) (= @t132 @t27) @t130 @t122)) % 114.11/114.32 (define @t136 () (@list @t125)) % 114.11/114.32 (define @t137 () (exists @t136 @t135)) % 114.11/114.32 (define @t138 () (tptp.ssList @t131)) % 114.11/114.32 (define @t139 () (and @t138 @t137)) % 114.11/114.32 (define @t140 () (@list @t131)) % 114.11/114.32 (define @t141 () (exists @t140 @t139)) % 114.11/114.32 (define @t142 () (= @t12 @t27)) % 114.11/114.32 (define @t143 () (not @t142)) % 114.11/114.32 (define @t144 () (and @t30 @t143 @t141)) % 114.11/114.32 (define @t145 () (exists @t31 @t144)) % 114.11/114.32 (define @t146 () (and @t145 @t121)) % 114.11/114.32 (define @t147 () (not (= tptp.nil @t12))) % 114.11/114.32 (define @t148 () (and @t147 (= tptp.nil @t10))) % 114.11/114.32 (define @t149 () (tptp.segmentP @t2 @t28)) % 114.11/114.32 (define @t150 () (tptp.segmentP @t1 @t28)) % 114.11/114.32 (define @t151 () (tptp.neq @t28 tptp.nil)) % 114.11/114.32 (define @t152 () (and @t32 @t151 @t150 @t149)) % 114.11/114.32 (define @t153 () (exists @t33 @t152)) % 114.11/114.32 (define @t154 () (not (= @t2 @t12))) % 114.11/114.32 (define @t155 () (not (= @t1 @t10))) % 114.11/114.32 (define @t156 () (not @t13)) % 114.11/114.32 (define @t157 () (or @t156 @t155 @t154 @t153 @t148 @t111 @t146)) % 114.11/114.32 (define @t158 () (forall @t14 @t157)) % 114.11/114.32 (define @t159 () (=> @t15 @t158)) % 114.11/114.32 (define @t160 () (forall @t16 @t159)) % 114.11/114.32 (define @t161 () (=> @t21 @t160)) % 114.11/114.32 (define @t162 () (forall @t7 @t161)) % 114.11/114.32 (define @t163 () (=> @t17 @t162)) % 114.11/114.32 (define @t164 () (forall @t9 @t163)) % 114.11/114.32 (define @t165 () (not @t164)) % 114.11/114.32 (define @t166 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 114.11/114.32 (define @t167 () (tptp.hd @t166)) % 114.11/114.32 (define @t168 () (tptp.cons @t167 tptp.nil)) % 114.11/114.32 (define @t169 () (tptp.tl @t166)) % 114.11/114.32 (define @t170 () (tptp.app @t169 @t168)) % 114.11/114.32 (define @t171 () (and (tptp.neq tptp.nil @t166) (tptp.ssItem @t167) (tptp.ssList @t168) (tptp.ssList @t169) (tptp.ssList @t170) (not (= @t2 @t170)) (tptp.neq @t166 tptp.nil))) % 114.11/114.32 (define @t172 () (= @t2 tptp.nil)) % 114.11/114.32 (define @t173 () (not @t172)) % 114.11/114.32 (define @t174 () (= @t166 tptp.nil)) % 114.11/114.32 (define @t175 () (and @t173 @t174)) % 114.11/114.32 (define @t176 () (and @t174 @t172)) % 114.11/114.32 (define @t177 () (not @t149)) % 114.11/114.32 (define @t178 () (not @t151)) % 114.11/114.32 (define @t179 () (not @t32)) % 114.11/114.32 (define @t180 () (not (forall @t33 (or @t179 @t178 (not (tptp.segmentP @t166 @t28)) @t177)))) % 114.11/114.32 (define @t181 () (not (tptp.ssList @t166))) % 114.11/114.32 (define @t182 () (not @t17)) % 114.11/114.32 (define @t183 () (or @t182 @t181 @t180 @t176 @t175 @t171)) % 114.11/114.32 (define @t184 () (or @t181 @t180 @t176 @t175 @t171)) % 114.11/114.32 (define @t185 () (or @t182 @t184)) % 114.11/114.32 (define @t186 () (@list @t2 @t166)) % 114.11/114.32 (define @t187 () (forall @t186 @t185)) % 114.11/114.32 (define @t188 () (@list @t166)) % 114.11/114.32 (define @t189 () (forall @t188 @t185)) % 114.11/114.32 (define @t190 () (forall @t188 @t184)) % 114.11/114.32 (define @t191 () (@list @t1)) % 114.11/114.32 (define @t192 () (or @t182 @t190)) % 114.11/114.32 (define @t193 () (tptp.neq @t1 tptp.nil)) % 114.11/114.32 (define @t194 () (tptp.cons @t101 tptp.nil)) % 114.11/114.32 (define @t195 () (tptp.app @t105 @t194)) % 114.11/114.32 (define @t196 () (tptp.ssList @t195)) % 114.11/114.32 (define @t197 () (tptp.ssList @t105)) % 114.11/114.32 (define @t198 () (tptp.ssList @t194)) % 114.11/114.32 (define @t199 () (tptp.ssItem @t101)) % 114.11/114.32 (define @t200 () (tptp.neq tptp.nil @t1)) % 114.11/114.32 (define @t201 () (and @t200 @t199 @t198 @t197 @t196 (not (= @t2 @t195)) @t193)) % 114.11/114.32 (define @t202 () (= @t1 tptp.nil)) % 114.11/114.32 (define @t203 () (and @t173 @t202)) % 114.11/114.32 (define @t204 () (and @t202 @t172)) % 114.11/114.32 (define @t205 () (not @t150)) % 114.11/114.32 (define @t206 () (or @t179 @t178 @t205 @t177)) % 114.11/114.32 (define @t207 () (not (forall @t33 @t206))) % 114.11/114.32 (define @t208 () (not @t21)) % 114.11/114.32 (define @t209 () (or @t208 @t207 @t204 @t203 @t201)) % 114.11/114.32 (define @t210 () (or @t182 (forall @t7 @t209))) % 114.11/114.32 (define @t211 () (or @t182 @t209)) % 114.11/114.32 (define @t212 () (or @t208 @t207 @t204 @t182 @t203 @t201)) % 114.11/114.32 (define @t213 () (or @t207 @t204 @t208 @t182 @t203 @t201)) % 114.11/114.32 (define @t214 () (or @t182 @t203 @t201)) % 114.11/114.32 (define @t215 () (not (= @t2 @t2))) % 114.11/114.32 (define @t216 () (or @t182 @t215 @t203 @t201)) % 114.11/114.32 (define @t217 () (and @t200 @t199 @t198 @t197 @t196 (not (= @t12 @t195)) @t193)) % 114.11/114.32 (define @t218 () (not (= @t12 tptp.nil))) % 114.11/114.32 (define @t219 () (and @t218 @t202)) % 114.11/114.32 (define @t220 () (not @t15)) % 114.11/114.32 (define @t221 () (or @t154 @t220 @t154 @t219 @t217)) % 114.11/114.32 (define @t222 () (or @t220 @t154 @t219 @t217)) % 114.11/114.32 (define @t223 () (forall @t16 @t222)) % 114.11/114.32 (define @t224 () (or @t207 @t204 @t208 @t223)) % 114.11/114.32 (define @t225 () (or @t207 @t204 @t208 @t222)) % 114.11/114.32 (define @t226 () (or @t220 @t154 @t207 @t204 @t208 @t219 @t217)) % 114.11/114.32 (define @t227 () (or @t154 @t207 @t204 @t208 @t219 @t217)) % 114.11/114.32 (define @t228 () (or @t208 @t219 @t217)) % 114.11/114.32 (define @t229 () (not (= @t1 @t1))) % 114.11/114.32 (define @t230 () (or @t208 @t229 @t219 @t217)) % 114.11/114.32 (define @t231 () (tptp.cons @t124 tptp.nil)) % 114.11/114.32 (define @t232 () (tptp.app @t133 @t231)) % 114.11/114.32 (define @t233 () (= @t12 @t232)) % 114.11/114.32 (define @t234 () (not @t233)) % 114.11/114.32 (define @t235 () (tptp.ssList @t232)) % 114.11/114.32 (define @t236 () (tptp.ssList @t133)) % 114.11/114.32 (define @t237 () (tptp.ssList @t231)) % 114.11/114.32 (define @t238 () (tptp.ssItem @t124)) % 114.11/114.32 (define @t239 () (and @t122 @t238 @t237 @t236 @t235 @t234 @t121)) % 114.11/114.32 (define @t240 () (and @t218 (= @t10 tptp.nil))) % 114.11/114.32 (define @t241 () (or @t155 @t156 @t155 @t240 @t239)) % 114.11/114.32 (define @t242 () (or @t156 @t155 @t240 @t239)) % 114.11/114.32 (define @t243 () (forall @t14 @t242)) % 114.11/114.32 (define @t244 () (or @t154 @t207 @t204 @t243)) % 114.11/114.32 (define @t245 () (or @t154 @t207 @t204 @t242)) % 114.11/114.32 (define @t246 () (or @t156 @t155 @t154 @t207 @t240 @t204 @t239)) % 114.11/114.32 (define @t247 () (not @t235)) % 114.11/114.32 (define @t248 () (not @t247)) % 114.11/114.32 (define @t249 () (not @t236)) % 114.11/114.32 (define @t250 () (not @t249)) % 114.11/114.32 (define @t251 () (not @t237)) % 114.11/114.32 (define @t252 () (not @t251)) % 114.11/114.32 (define @t253 () (not @t238)) % 114.11/114.32 (define @t254 () (not @t253)) % 114.11/114.32 (define @t255 () (not @t122)) % 114.11/114.32 (define @t256 () (not @t255)) % 114.11/114.32 (define @t257 () (and @t256 @t254 @t252 @t250 @t248 @t234)) % 114.11/114.32 (define @t258 () (or @t247 @t233)) % 114.11/114.32 (define @t259 () (or @t255 @t253 @t251 @t249 @t247 @t233)) % 114.11/114.32 (define @t260 () (and (not @t259) @t121)) % 114.11/114.32 (define @t261 () (or @t156 @t155 @t154 @t207 @t240 @t204 @t260)) % 114.11/114.32 (define @t262 () (not (= @t232 @t232))) % 114.11/114.32 (define @t263 () (or @t247 @t233 @t262)) % 114.11/114.32 (define @t264 () (not (= @t27 @t232))) % 114.11/114.32 (define @t265 () (not @t30)) % 114.11/114.32 (define @t266 () (or @t264 @t265 @t142 @t264)) % 114.11/114.32 (define @t267 () (or @t265 @t142 @t264)) % 114.11/114.32 (define @t268 () (forall @t31 @t267)) % 114.11/114.32 (define @t269 () (or @t255 @t253 @t251 @t249 @t268)) % 114.11/114.32 (define @t270 () (or @t255 @t253 @t251 @t249 @t267)) % 114.11/114.32 (define @t271 () (or @t265 @t142 @t255 @t253 @t251 @t249 @t264)) % 114.11/114.32 (define @t272 () (or @t255 @t253 @t251 @t249 @t264)) % 114.11/114.32 (define @t273 () (not @t272)) % 114.11/114.32 (define @t274 () (not @t273)) % 114.11/114.32 (define @t275 () (not @t143)) % 114.11/114.32 (define @t276 () (or @t265 @t275 @t274)) % 114.11/114.32 (define @t277 () (and @t30 @t143 @t273)) % 114.11/114.32 (define @t278 () (forall @t31 (not @t277))) % 114.11/114.32 (define @t279 () (not @t278)) % 114.11/114.32 (define @t280 () (or @t249 @t264)) % 114.11/114.32 (define @t281 () (not (= @t133 @t133))) % 114.11/114.32 (define @t282 () (or @t249 @t281 @t264)) % 114.11/114.32 (define @t283 () (not (= @t27 (tptp.app @t131 @t231)))) % 114.11/114.32 (define @t284 () (= @t131 @t133)) % 114.11/114.32 (define @t285 () (not @t284)) % 114.11/114.32 (define @t286 () (not @t138)) % 114.11/114.32 (define @t287 () (or @t285 @t286 @t285 @t283)) % 114.11/114.32 (define @t288 () (or @t286 @t285 @t283)) % 114.11/114.32 (define @t289 () (forall @t140 @t288)) % 114.11/114.32 (define @t290 () (or @t255 @t253 @t251 @t289)) % 114.11/114.32 (define @t291 () (or @t255 @t253 @t251 @t288)) % 114.11/114.32 (define @t292 () (or @t286 @t285 @t255 @t253 @t251 @t283)) % 114.11/114.32 (define @t293 () (or @t285 @t255 @t253 @t251 @t283)) % 114.11/114.32 (define @t294 () (not @t293)) % 114.11/114.32 (define @t295 () (and @t138 @t294)) % 114.11/114.32 (define @t296 () (forall @t140 (not @t295))) % 114.11/114.32 (define @t297 () (not @t296)) % 114.11/114.32 (define @t298 () (or @t251 @t283)) % 114.11/114.32 (define @t299 () (not (= @t231 @t231))) % 114.11/114.32 (define @t300 () (or @t251 @t283 @t299)) % 114.11/114.32 (define @t301 () (not (= @t125 @t231))) % 114.11/114.32 (define @t302 () (= @t27 @t132)) % 114.11/114.32 (define @t303 () (not @t302)) % 114.11/114.32 (define @t304 () (not @t134)) % 114.11/114.32 (define @t305 () (or @t301 @t304 @t303 @t301)) % 114.11/114.32 (define @t306 () (or @t304 @t303 @t301)) % 114.11/114.32 (define @t307 () (forall @t136 @t306)) % 114.11/114.32 (define @t308 () (or @t285 @t255 @t253 @t307)) % 114.11/114.32 (define @t309 () (or @t285 @t255 @t253 @t306)) % 114.11/114.32 (define @t310 () (or @t304 @t285 @t303 @t255 @t253 @t301)) % 114.11/114.32 (define @t311 () (or @t255 @t253 @t301)) % 114.11/114.32 (define @t312 () (not @t311)) % 114.11/114.32 (define @t313 () (not @t312)) % 114.11/114.32 (define @t314 () (or @t304 @t285 @t303 @t313 @t255)) % 114.11/114.32 (define @t315 () (and @t134 @t284 @t302 @t312 @t122)) % 114.11/114.32 (define @t316 () (forall @t136 (not @t315))) % 114.11/114.32 (define @t317 () (not @t316)) % 114.11/114.32 (define @t318 () (or @t253 @t301)) % 114.11/114.32 (define @t319 () (not (= @t124 @t124))) % 114.11/114.32 (define @t320 () (or @t253 @t301 @t319)) % 114.11/114.32 (define @t321 () (= @t123 @t124)) % 114.11/114.32 (define @t322 () (not @t321)) % 114.11/114.32 (define @t323 () (= @t125 @t126)) % 114.11/114.32 (define @t324 () (not @t323)) % 114.11/114.32 (define @t325 () (not @t127)) % 114.11/114.32 (define @t326 () (or @t322 @t325 @t324 @t322)) % 114.11/114.32 (define @t327 () (or @t325 @t324 @t322)) % 114.11/114.32 (define @t328 () (forall @t129 @t327)) % 114.11/114.32 (define @t329 () (or @t255 @t328)) % 114.11/114.32 (define @t330 () (or @t255 @t327)) % 114.11/114.32 (define @t331 () (or @t325 @t324 @t322 @t255)) % 114.11/114.32 (define @t332 () (and @t127 @t323 @t321 @t122)) % 114.11/114.32 (define @t333 () (forall @t129 (not @t332))) % 114.11/114.32 (define @t334 () (not @t333)) % 114.11/114.32 (define @t335 () (forall @t33 (not @t152))) % 114.11/114.32 (define @t336 () (not @t335)) % 114.11/114.32 (define @t337 () (= tptp.nil @t166)) % 114.11/114.32 (define @t338 () (forall @t186 (or @t182 @t181 @t180 (and @t337 @t172) (and @t173 @t337) @t171))) % 114.11/114.32 (define @t339 () (@quantifiers_skolemize @t338 1)) % 114.11/114.32 (define @t340 () (tptp.neq @t339 tptp.nil)) % 114.11/114.32 (define @t341 () (tptp.hd @t339)) % 114.11/114.32 (define @t342 () (tptp.cons @t341 tptp.nil)) % 114.11/114.32 (define @t343 () (tptp.tl @t339)) % 114.11/114.32 (define @t344 () (tptp.app @t343 @t342)) % 114.11/114.32 (define @t345 () (@quantifiers_skolemize @t338 0)) % 114.11/114.32 (define @t346 () (= @t345 @t344)) % 114.11/114.32 (define @t347 () (not @t346)) % 114.11/114.32 (define @t348 () (tptp.ssList @t344)) % 114.11/114.32 (define @t349 () (tptp.ssList @t343)) % 114.11/114.32 (define @t350 () (tptp.ssList @t342)) % 114.11/114.32 (define @t351 () (tptp.ssItem @t341)) % 114.11/114.32 (define @t352 () (tptp.neq tptp.nil @t339)) % 114.11/114.32 (define @t353 () (and @t352 @t351 @t350 @t349 @t348 @t347 @t340)) % 114.11/114.32 (define @t354 () (= tptp.nil @t339)) % 114.11/114.32 (define @t355 () (= tptp.nil @t345)) % 114.11/114.32 (define @t356 () (not @t355)) % 114.11/114.32 (define @t357 () (and @t356 @t354)) % 114.11/114.32 (define @t358 () (and @t354 @t355)) % 114.11/114.32 (define @t359 () (forall @t33 (or @t179 @t178 (not (tptp.segmentP @t339 @t28)) (not (tptp.segmentP @t345 @t28))))) % 114.11/114.32 (define @t360 () (not @t359)) % 114.11/114.32 (define @t361 () (tptp.ssList @t339)) % 114.11/114.32 (define @t362 () (not @t361)) % 114.11/114.32 (define @t363 () (tptp.ssList @t345)) % 114.11/114.32 (define @t364 () (not @t363)) % 114.11/114.32 (define @t365 () (or @t364 @t362 @t360 @t358 @t357 @t353)) % 114.11/114.32 (define @t366 () (not @t365)) % 114.11/114.32 (define @t367 () (not @t338)) % 114.11/114.32 (define @t368 () (= @t345 tptp.nil)) % 114.11/114.32 (define @t369 () (not @t368)) % 114.11/114.32 (define @t370 () (and @t369 @t354)) % 114.11/114.32 (define @t371 () (and @t354 @t368)) % 114.11/114.32 (define @t372 () (or @t364 @t362 @t360 @t371 @t370 @t353)) % 114.11/114.32 (define @t373 () (not @t372)) % 114.11/114.32 (define @t374 () (@list true)) % 114.11/114.32 (define @t375 () (@list @t365)) % 114.11/114.32 (define @t376 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 114.11/114.32 (define @t377 () (= (tptp.neq @t2 @t376) (not (= @t2 @t376)))) % 114.11/114.32 (define @t378 () (not (tptp.ssList @t376))) % 114.11/114.32 (define @t379 () (or @t182 @t378 @t377)) % 114.11/114.32 (define @t380 () (or @t378 @t377)) % 114.11/114.32 (define @t381 () (or @t182 @t380)) % 114.11/114.32 (define @t382 () (@list @t2 @t376)) % 114.11/114.32 (define @t383 () (forall @t382 @t381)) % 114.11/114.32 (define @t384 () (@list @t376)) % 114.11/114.32 (define @t385 () (forall @t384 @t381)) % 114.11/114.32 (define @t386 () (forall @t384 @t380)) % 114.11/114.32 (define @t387 () (or @t182 @t386)) % 114.11/114.32 (define @t388 () (forall @t7 (or @t208 @t5))) % 114.11/114.32 (define @t389 () (not @t354)) % 114.11/114.32 (define @t390 () (= @t352 @t389)) % 114.11/114.32 (define @t391 () (not @t45)) % 114.11/114.32 (define @t392 () (or @t391 @t362 @t390)) % 114.11/114.32 (define @t393 () (@list false false false)) % 114.11/114.32 (define @t394 () (not @t390)) % 114.11/114.32 (define @t395 () (not @t389)) % 114.11/114.32 (define @t396 () (or @t182 @t172 @t55)) % 114.11/114.32 (define @t397 () (not @t173)) % 114.11/114.32 (define @t398 () (=> @t173 @t55)) % 114.11/114.32 (define @t399 () (= @t339 tptp.nil)) % 114.11/114.32 (define @t400 () (or @t362 @t399 @t351)) % 114.11/114.32 (define @t401 () (forall @t9 @t396)) % 114.11/114.32 (define @t402 () (@list @t339)) % 114.11/114.32 (define @t403 () (or @t362 @t354 @t351)) % 114.11/114.32 (define @t404 () (@list false)) % 114.11/114.32 (define @t405 () (or @t182 @t172 @t61)) % 114.11/114.32 (define @t406 () (=> @t173 @t61)) % 114.11/114.32 (define @t407 () (or @t362 @t399 @t349)) % 114.11/114.32 (define @t408 () (forall @t9 @t405)) % 114.11/114.32 (define @t409 () (or @t362 @t354 @t349)) % 114.11/114.32 (define @t410 () (= @t2 @t106)) % 114.11/114.32 (define @t411 () (or @t182 @t172 @t410)) % 114.11/114.32 (define @t412 () (=> @t173 @t410)) % 114.11/114.32 (define @t413 () (tptp.cons @t341 @t343)) % 114.11/114.32 (define @t414 () (= @t339 @t413)) % 114.11/114.32 (define @t415 () (or @t362 @t399 @t414)) % 114.11/114.32 (define @t416 () (forall @t9 @t411)) % 114.11/114.32 (define @t417 () (or @t362 @t354 @t414)) % 114.11/114.32 (define @t418 () (not @t399)) % 114.11/114.32 (define @t419 () (= @t340 @t418)) % 114.11/114.32 (define @t420 () (or @t362 @t391 @t419)) % 114.11/114.32 (define @t421 () (forall @t382 @t379)) % 114.11/114.32 (define @t422 () (= @t340 @t389)) % 114.11/114.32 (define @t423 () (or @t362 @t391 @t422)) % 114.11/114.32 (define @t424 () (@list @t421)) % 114.11/114.32 (define @t425 () (not @t422)) % 114.11/114.32 (define @t426 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 114.11/114.32 (define @t427 () (tptp.ssList (tptp.cons @t426 @t2))) % 114.11/114.32 (define @t428 () (not (tptp.ssItem @t426))) % 114.11/114.32 (define @t429 () (or @t428 @t427)) % 114.11/114.32 (define @t430 () (or @t182 @t429)) % 114.11/114.32 (define @t431 () (forall (@list @t2 @t426) @t430)) % 114.11/114.32 (define @t432 () (@list @t426)) % 114.11/114.32 (define @t433 () (forall @t432 @t430)) % 114.11/114.32 (define @t434 () (forall @t432 @t429)) % 114.11/114.32 (define @t435 () (or @t182 @t434)) % 114.11/114.32 (define @t436 () (not @t6)) % 114.11/114.32 (define @t437 () (forall @t7 (or @t436 @t41))) % 114.11/114.32 (define @t438 () (@list tptp.nil @t341)) % 114.11/114.32 (define @t439 () (not @t351)) % 114.11/114.32 (define @t440 () (or @t391 @t439 @t350)) % 114.11/114.32 (define @t441 () (@var "BOUND_VARIABLE_9169" $$unsorted)) % 114.11/114.32 (define @t442 () (not (= @t2 (tptp.cons @t441 @t2)))) % 114.11/114.32 (define @t443 () (not (tptp.ssItem @t441))) % 114.11/114.32 (define @t444 () (or @t443 @t442)) % 114.11/114.32 (define @t445 () (or @t182 @t444)) % 114.11/114.32 (define @t446 () (forall (@list @t2 @t441) @t445)) % 114.11/114.32 (define @t447 () (@list @t441)) % 114.11/114.32 (define @t448 () (forall @t447 @t445)) % 114.11/114.32 (define @t449 () (forall @t447 @t444)) % 114.11/114.32 (define @t450 () (or @t182 @t449)) % 114.11/114.32 (define @t451 () (not (= @t2 @t40))) % 114.11/114.32 (define @t452 () (forall @t7 (or @t436 @t451))) % 114.11/114.32 (define @t453 () (= tptp.nil @t342)) % 114.11/114.32 (define @t454 () (not @t453)) % 114.11/114.32 (define @t455 () (or @t391 @t439 @t454)) % 114.11/114.32 (define @t456 () (= @t2 @t77)) % 114.11/114.32 (define @t457 () (@list @t343)) % 114.11/114.32 (define @t458 () (tptp.app tptp.nil @t343)) % 114.11/114.32 (define @t459 () (= @t343 @t458)) % 114.11/114.32 (define @t460 () (not @t349)) % 114.11/114.32 (define @t461 () (or @t460 @t459)) % 114.11/114.32 (define @t462 () (tptp.segmentP @t343 @t343)) % 114.11/114.32 (define @t463 () (or @t460 @t462)) % 114.11/114.32 (define @t464 () (@var "BOUND_VARIABLE_9427" $$unsorted)) % 114.11/114.32 (define @t465 () (@var "BOUND_VARIABLE_9429" $$unsorted)) % 114.11/114.32 (define @t466 () (= (tptp.cons @t465 (tptp.app @t464 @t2)) (tptp.app (tptp.cons @t465 @t464) @t2))) % 114.11/114.32 (define @t467 () (not (tptp.ssItem @t465))) % 114.11/114.32 (define @t468 () (not (tptp.ssList @t464))) % 114.11/114.32 (define @t469 () (or @t182 @t468 @t467 @t466)) % 114.11/114.32 (define @t470 () (or @t468 @t467 @t466)) % 114.11/114.32 (define @t471 () (or @t182 @t470)) % 114.11/114.32 (define @t472 () (@list @t2 @t464 @t465)) % 114.11/114.32 (define @t473 () (forall @t472 @t471)) % 114.11/114.32 (define @t474 () (@list @t464 @t465)) % 114.11/114.32 (define @t475 () (forall @t474 @t471)) % 114.11/114.32 (define @t476 () (forall @t474 @t470)) % 114.11/114.32 (define @t477 () (@var "BOUND_VARIABLE_9409" $$unsorted)) % 114.11/114.32 (define @t478 () (or @t182 @t476)) % 114.11/114.32 (define @t479 () (= (tptp.cons @t477 @t70) (tptp.app (tptp.cons @t477 @t1) @t2))) % 114.11/114.32 (define @t480 () (not (tptp.ssItem @t477))) % 114.11/114.32 (define @t481 () (or @t208 @t480 @t479)) % 114.11/114.32 (define @t482 () (@list @t1 @t477)) % 114.11/114.32 (define @t483 () (forall @t482 @t481)) % 114.11/114.32 (define @t484 () (or @t480 @t479)) % 114.11/114.32 (define @t485 () (or @t208 @t484)) % 114.11/114.32 (define @t486 () (forall @t482 @t485)) % 114.11/114.32 (define @t487 () (@list @t477)) % 114.11/114.32 (define @t488 () (forall @t487 @t485)) % 114.11/114.32 (define @t489 () (forall @t487 @t484)) % 114.11/114.32 (define @t490 () (or @t208 @t489)) % 114.11/114.32 (define @t491 () (forall @t16 (or (not @t34) @t71))) % 114.11/114.32 (define @t492 () (tptp.cons @t341 @t458)) % 114.11/114.32 (define @t493 () (tptp.app @t342 @t343)) % 114.11/114.32 (define @t494 () (or @t460 @t391 @t439 (= @t492 @t493))) % 114.11/114.32 (define @t495 () (forall @t472 @t469)) % 114.11/114.32 (define @t496 () (= @t493 @t492)) % 114.11/114.32 (define @t497 () (or @t460 @t391 @t439 @t496)) % 114.11/114.32 (define @t498 () (@var "BOUND_VARIABLE_9390" $$unsorted)) % 114.11/114.32 (define @t499 () (tptp.ssList (tptp.app @t2 @t498))) % 114.11/114.32 (define @t500 () (not (tptp.ssList @t498))) % 114.11/114.32 (define @t501 () (or @t500 @t499)) % 114.11/114.32 (define @t502 () (or @t182 @t501)) % 114.11/114.32 (define @t503 () (forall (@list @t2 @t498) @t502)) % 114.11/114.32 (define @t504 () (@list @t498)) % 114.11/114.32 (define @t505 () (forall @t504 @t502)) % 114.11/114.32 (define @t506 () (forall @t504 @t501)) % 114.11/114.32 (define @t507 () (or @t182 @t506)) % 114.11/114.32 (define @t508 () (forall @t7 (or @t208 @t66))) % 114.11/114.32 (define @t509 () (@list @t343 @t342)) % 114.11/114.32 (define @t510 () (not @t350)) % 114.11/114.32 (define @t511 () (or @t460 @t510 @t348)) % 114.11/114.32 (define @t512 () (@var "BOUND_VARIABLE_10618" $$unsorted)) % 114.11/114.32 (define @t513 () (and (= @t512 tptp.nil) @t172)) % 114.11/114.32 (define @t514 () (= tptp.nil (tptp.app @t2 @t512))) % 114.11/114.32 (define @t515 () (= @t514 @t513)) % 114.11/114.32 (define @t516 () (not (tptp.ssList @t512))) % 114.11/114.32 (define @t517 () (or @t182 @t516 @t515)) % 114.11/114.32 (define @t518 () (or @t516 @t515)) % 114.11/114.32 (define @t519 () (or @t182 @t518)) % 114.11/114.32 (define @t520 () (@list @t2 @t512)) % 114.11/114.32 (define @t521 () (forall @t520 @t519)) % 114.11/114.32 (define @t522 () (@list @t512)) % 114.11/114.32 (define @t523 () (forall @t522 @t519)) % 114.11/114.32 (define @t524 () (forall @t522 @t518)) % 114.11/114.32 (define @t525 () (or @t182 @t524)) % 114.11/114.32 (define @t526 () (= @t112 @t204)) % 114.11/114.32 (define @t527 () (forall @t7 (or @t208 @t526))) % 114.11/114.32 (define @t528 () (= @t343 tptp.nil)) % 114.11/114.32 (define @t529 () (and @t453 @t528)) % 114.11/114.32 (define @t530 () (= tptp.nil @t344)) % 114.11/114.32 (define @t531 () (= @t530 @t529)) % 114.11/114.32 (define @t532 () (or @t460 @t510 @t531)) % 114.11/114.32 (define @t533 () (forall @t520 (or @t182 @t516 (= @t514 (and (= tptp.nil @t512) @t172))))) % 114.11/114.32 (define @t534 () (= tptp.nil @t343)) % 114.11/114.32 (define @t535 () (and @t453 @t534)) % 114.11/114.32 (define @t536 () (= @t530 @t535)) % 114.11/114.32 (define @t537 () (or @t460 @t510 @t536)) % 114.11/114.32 (define @t538 () (= @t342 (tptp.app tptp.nil @t342))) % 114.11/114.32 (define @t539 () (or @t510 @t538)) % 114.11/114.32 (define @t540 () (@var "BOUND_VARIABLE_10224" $$unsorted)) % 114.11/114.32 (define @t541 () (@var "BOUND_VARIABLE_10228" $$unsorted)) % 114.11/114.32 (define @t542 () (@var "BOUND_VARIABLE_10226" $$unsorted)) % 114.11/114.32 (define @t543 () (tptp.segmentP (tptp.app (tptp.app @t542 @t2) @t541) @t540)) % 114.11/114.32 (define @t544 () (not (tptp.ssList @t541))) % 114.11/114.32 (define @t545 () (not (tptp.ssList @t542))) % 114.11/114.32 (define @t546 () (not (tptp.segmentP @t2 @t540))) % 114.11/114.32 (define @t547 () (not (tptp.ssList @t540))) % 114.11/114.32 (define @t548 () (or @t547 @t546 @t545 @t544 @t543)) % 114.11/114.32 (define @t549 () (or @t182 @t548)) % 114.11/114.32 (define @t550 () (forall (@list @t2 @t540 @t542 @t541) @t549)) % 114.11/114.32 (define @t551 () (@list @t540 @t542 @t541)) % 114.11/114.32 (define @t552 () (forall @t551 @t549)) % 114.11/114.32 (define @t553 () (forall @t551 @t548)) % 114.11/114.32 (define @t554 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 114.11/114.32 (define @t555 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 114.11/114.32 (define @t556 () (or @t182 @t553)) % 114.11/114.32 (define @t557 () (tptp.segmentP (tptp.app (tptp.app @t555 @t2) @t554) @t1)) % 114.11/114.32 (define @t558 () (not (tptp.ssList @t554))) % 114.11/114.32 (define @t559 () (not (tptp.ssList @t555))) % 114.11/114.32 (define @t560 () (not @t24)) % 114.11/114.32 (define @t561 () (or @t208 @t560 @t559 @t558 @t557)) % 114.11/114.32 (define @t562 () (@list @t1 @t555 @t554)) % 114.11/114.32 (define @t563 () (forall @t562 @t561)) % 114.11/114.32 (define @t564 () (or @t559 @t558 @t557)) % 114.11/114.32 (define @t565 () (or @t208 @t560 @t564)) % 114.11/114.32 (define @t566 () (forall @t562 @t565)) % 114.11/114.32 (define @t567 () (@list @t555 @t554)) % 114.11/114.32 (define @t568 () (forall @t567 @t565)) % 114.11/114.32 (define @t569 () (forall @t567 @t564)) % 114.11/114.32 (define @t570 () (@var "BOUND_VARIABLE_10186" $$unsorted)) % 114.11/114.32 (define @t571 () (or @t208 @t560 @t569)) % 114.11/114.32 (define @t572 () (tptp.segmentP (tptp.app @t88 @t570) @t1)) % 114.11/114.32 (define @t573 () (not (tptp.ssList @t570))) % 114.11/114.32 (define @t574 () (or @t220 @t573 @t572)) % 114.11/114.32 (define @t575 () (@list @t12 @t570)) % 114.11/114.32 (define @t576 () (forall @t575 @t574)) % 114.11/114.32 (define @t577 () (or @t208 @t560 @t576)) % 114.11/114.32 (define @t578 () (or @t560 @t576)) % 114.11/114.32 (define @t579 () (or @t573 @t572)) % 114.11/114.32 (define @t580 () (or @t220 @t579)) % 114.11/114.32 (define @t581 () (forall @t575 @t580)) % 114.11/114.32 (define @t582 () (@list @t570)) % 114.11/114.32 (define @t583 () (forall @t582 @t580)) % 114.11/114.32 (define @t584 () (forall @t582 @t579)) % 114.11/114.32 (define @t585 () (or @t220 @t584)) % 114.11/114.32 (define @t586 () (or @t156 @t91)) % 114.11/114.32 (define @t587 () (forall @t14 @t586)) % 114.11/114.32 (define @t588 () (or @t220 @t587)) % 114.11/114.32 (define @t589 () (forall @t16 @t588)) % 114.11/114.32 (define @t590 () (or @t560 @t589)) % 114.11/114.32 (define @t591 () (or @t560 @t588)) % 114.11/114.32 (define @t592 () (or @t220 @t560 @t587)) % 114.11/114.32 (define @t593 () (or @t560 @t587)) % 114.11/114.32 (define @t594 () (or @t560 @t586)) % 114.11/114.32 (define @t595 () (or @t156 @t560 @t91)) % 114.11/114.32 (define @t596 () (tptp.app @t458 @t342)) % 114.11/114.32 (define @t597 () (tptp.segmentP @t596 @t343)) % 114.11/114.32 (define @t598 () (not @t462)) % 114.11/114.32 (define @t599 () (or @t460 @t460 @t598 @t391 @t510 @t597)) % 114.11/114.32 (define @t600 () (tptp.segmentP (tptp.app @t493 tptp.nil) @t343)) % 114.11/114.32 (define @t601 () (or @t460 @t460 @t598 @t510 @t391 @t600)) % 114.11/114.32 (define @t602 () (not @t340)) % 114.11/114.32 (define @t603 () (not @t348)) % 114.11/114.32 (define @t604 () (not @t352)) % 114.11/114.32 (define @t605 () (not @t530)) % 114.11/114.32 (define @t606 () (= @t2 @t118)) % 114.11/114.32 (define @t607 () (tptp.app @t339 tptp.nil)) % 114.11/114.32 (define @t608 () (= @t339 @t607)) % 114.11/114.32 (define @t609 () (or @t362 @t608)) % 114.11/114.32 (define @t610 () (@list false false)) % 114.11/114.32 (define @t611 () (tptp.segmentP @t339 @t343)) % 114.11/114.32 (define @t612 () (and @t459 @t414 @t608 @t496 @t600)) % 114.11/114.32 (define @t613 () (not @t414)) % 114.11/114.32 (define @t614 () (not @t459)) % 114.11/114.32 (define @t615 () (forall @t9 (or @t182 @t456))) % 114.11/114.32 (define @t616 () (tptp.neq @t343 tptp.nil)) % 114.11/114.32 (define @t617 () (not @t534)) % 114.11/114.32 (define @t618 () (not @t528)) % 114.11/114.32 (define @t619 () (= @t616 @t618)) % 114.11/114.32 (define @t620 () (or @t460 @t391 @t619)) % 114.11/114.32 (define @t621 () (= @t617 @t616)) % 114.11/114.32 (define @t622 () (or @t460 @t391 @t621)) % 114.11/114.32 (define @t623 () (and @t346 @t605)) % 114.11/114.32 (define @t624 () (tptp.neq @t345 tptp.nil)) % 114.11/114.32 (define @t625 () (or @t364 @t391 (= @t624 @t369))) % 114.11/114.32 (define @t626 () (= @t356 @t624)) % 114.11/114.32 (define @t627 () (or @t364 @t391 @t626)) % 114.11/114.32 (define @t628 () (not @t626)) % 114.11/114.32 (define @t629 () (not @t356)) % 114.11/114.32 (define @t630 () (@list @t345)) % 114.11/114.32 (define @t631 () (tptp.segmentP @t345 @t345)) % 114.11/114.32 (define @t632 () (or @t364 @t631)) % 114.11/114.32 (define @t633 () (not @t631)) % 114.11/114.32 (define @t634 () (tptp.segmentP @t339 @t345)) % 114.11/114.32 (define @t635 () (not @t634)) % 114.11/114.32 (define @t636 () (not @t624)) % 114.11/114.32 (define @t637 () (or @t364 @t636 @t635 @t633)) % 114.11/114.32 (define @t638 () (tptp.segmentP @t339 @t339)) % 114.11/114.32 (define @t639 () (or @t362 @t638)) % 114.11/114.32 (define @t640 () (not @t638)) % 114.11/114.32 (define @t641 () (not @t538)) % 114.11/114.32 (define @t642 () (and @t638 @t414 @t534 @t538 @t459 @t346 @t635)) % 114.11/114.32 (define @t643 () (not @t621)) % 114.11/114.32 (define @t644 () (tptp.segmentP @t345 @t343)) % 114.11/114.32 (define @t645 () (not @t644)) % 114.11/114.32 (define @t646 () (not @t611)) % 114.11/114.32 (define @t647 () (not @t616)) % 114.11/114.32 (define @t648 () (or @t460 @t647 @t646 @t645)) % 114.11/114.32 (define @t649 () (and @t346 @t459 @t597)) % 114.11/114.32 (define @t650 () (not @t597)) % 114.11/114.32 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 114.11/114.32 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 114.11/114.32 (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))))))))))) % 114.11/114.32 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 114.11/114.32 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 114.11/114.32 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 114.11/114.32 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 114.11/114.32 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 114.11/114.32 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 114.11/114.32 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 114.11/114.32 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 114.11/114.32 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 114.11/114.32 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 114.11/114.32 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 114.11/114.32 (assume @p15 @t39) % 114.11/114.32 (assume @p16 @t44) % 114.11/114.32 (assume @p17 @t45) % 114.11/114.32 (assume @p18 @t50) % 114.11/114.32 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t51))))))))))) % 114.11/114.32 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 114.11/114.32 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 114.11/114.32 (assume @p22 @t59) % 114.11/114.32 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 114.11/114.32 (assume @p24 @t64) % 114.11/114.32 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 114.11/114.32 (assume @p26 @t69) % 114.11/114.32 (assume @p27 @t76) % 114.11/114.32 (assume @p28 @t79) % 114.11/114.32 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 114.11/114.32 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 @t26) (tptp.leq @t2 @t12))))))))) % 114.11/114.32 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 114.11/114.32 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 114.11/114.32 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 114.11/114.32 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t84 @t35) @t85)))))))) % 114.11/114.32 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 114.11/114.32 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 114.11/114.32 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 114.11/114.32 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 114.11/114.32 (assume @p39 (not (tptp.singletonP tptp.nil))) % 114.11/114.32 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 114.11/114.32 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 114.11/114.32 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 114.11/114.32 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 114.11/114.32 (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)))))))))))) % 114.11/114.32 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 114.11/114.32 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 114.11/114.32 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 114.11/114.32 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 114.11/114.32 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 114.11/114.32 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t88 @t1))))))))) % 114.11/114.32 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 114.11/114.32 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 114.11/114.32 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 114.11/114.32 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 114.11/114.32 (assume @p55 @t90) % 114.11/114.32 (assume @p56 @t99) % 114.11/114.32 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 114.11/114.32 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 114.11/114.32 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t100)))) % 114.11/114.32 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 114.11/114.32 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t100)))) % 114.11/114.32 (assume @p62 (tptp.totalorderP tptp.nil)) % 114.11/114.32 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t100)))) % 114.11/114.32 (assume @p64 (tptp.strictorderP tptp.nil)) % 114.11/114.32 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t100)))) % 114.11/114.32 (assume @p66 (tptp.totalorderedP tptp.nil)) % 114.11/114.32 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t104) (or @t102 (and @t103 (tptp.totalorderedP @t1) (tptp.leq @t2 @t101))))))))) % 114.11/114.32 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t100)))) % 114.11/114.32 (assume @p69 (tptp.strictorderedP tptp.nil)) % 114.11/114.32 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t104) (or @t102 (and @t103 (tptp.strictorderedP @t1) (tptp.lt @t2 @t101))))))))) % 114.11/114.32 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t100)))) % 114.11/114.32 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 114.11/114.32 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t100)))) % 114.11/114.32 (assume @p74 (tptp.equalelemsP tptp.nil)) % 114.11/114.32 (assume @p75 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t6 (= @t54 @t1))))))) % 114.11/114.32 (assume @p76 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t21 (= @t60 @t1))))))) % 114.11/114.32 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t103 @t56 (= @t101 @t54) (= @t105 @t60)) @t51)))))) % 114.11/114.32 (assume @p78 @t109) % 114.11/114.32 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t65) @t110)))))))) % 114.11/114.32 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t70) @t110)))))))) % 114.11/114.32 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 114.11/114.32 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t65 @t12) (tptp.app @t2 @t19))))))))) % 114.11/114.32 (assume @p83 @t117) % 114.11/114.32 (assume @p84 @t120) % 114.11/114.32 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.hd @t65) @t54))))))) % 114.11/114.32 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.tl @t65) (tptp.app @t60 @t1)))))))) % 114.11/114.32 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 114.11/114.32 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 114.11/114.32 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 114.11/114.32 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 114.11/114.32 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 @t35) @t85)))))))) % 114.11/114.32 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 114.11/114.32 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 114.11/114.32 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 114.11/114.32 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 114.11/114.32 (assume @p96 @t165) % 114.11/114.32 (assume @p97 true) % 114.11/114.32 (step @p98 :rule refl :args (@t171)) % 114.11/114.32 (step @p99 :rule eq-symm :args (@t166 tptp.nil)) % 114.11/114.32 (step @p100 :rule refl :args (@t173)) % 114.11/114.32 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t175)) % 114.11/114.32 (step @p102 :rule refl :args (@t172)) % 114.11/114.32 (step @p103 :rule nary_cong :premises (@p99 @p102) :args (@t176)) % 114.11/114.32 (step @p104 :rule refl :args (@t180)) % 114.11/114.32 (step @p105 :rule refl :args (@t181)) % 114.11/114.32 (step @p106 :rule refl :args (@t182)) % 114.11/114.32 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p101 @p98) :args (@t183)) % 114.11/114.32 (step @p108 :rule aci_norm :args ((= @t185 @t183))) % 114.11/114.32 (step @p109 :rule trans :premises (@p108 @p107)) % 114.11/114.32 (step @p110 :rule cong :premises (@p109) :args (@t187)) % 114.11/114.32 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t189) @t187))) % 114.11/114.32 (step @p112 :rule alpha_equiv :args (@t190 (@list @t166) @t191)) % 114.11/114.32 (step @p113 :rule refl :args (@t182)) % 114.11/114.32 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t192)) % 114.11/114.32 (step @p115 :rule quant-miniscope-or :args ((= @t189 @t192))) % 114.11/114.32 (step @p116 :rule trans :premises (@p115 @p114)) % 114.11/114.32 (step @p117 :rule symm :premises (@p116)) % 114.11/114.32 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t210))) % 114.11/114.32 (step @p119 :rule trans :premises (@p118 @p111)) % 114.11/114.32 (step @p120 :rule trans :premises (@p119 @p110)) % 114.11/114.32 (step @p121 :rule aci_norm :args ((= (or @t182 @t210) @t210))) % 114.11/114.32 (step @p122 :rule bool-impl-elim :args (@t17 @t210)) % 114.11/114.32 (step @p123 :rule trans :premises (@p122 @p121)) % 114.11/114.32 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 (=> @t17 @t210)))) % 114.11/114.32 (step @p125 :rule trans :premises (@p124 @p120)) % 114.11/114.32 (step @p126 :rule quant-miniscope-or :args ((= (forall @t7 @t211) @t210))) % 114.11/114.32 (step @p127 :rule aci_norm :args ((= @t212 @t211))) % 114.11/114.32 (step @p128 :rule cong :premises (@p127) :args ((forall @t7 @t212))) % 114.11/114.32 (step @p129 :rule trans :premises (@p128 @p126)) % 114.11/114.32 (step @p130 :rule aci_norm :args ((= (or @t208 @t213) @t212))) % 114.11/114.32 (step @p131 :rule bool-impl-elim :args (@t21 @t213)) % 114.11/114.32 (step @p132 :rule trans :premises (@p131 @p130)) % 114.11/114.32 (step @p133 :rule cong :premises (@p132) :args ((forall @t7 (=> @t21 @t213)))) % 114.11/114.32 (step @p134 :rule trans :premises (@p133 @p129)) % 114.11/114.32 (step @p135 :rule aci_norm :args ((= (or @t207 @t204 @t208 @t214) @t213))) % 114.11/114.32 (step @p136 :rule aci_norm :args ((= (or @t182 false @t203 @t201) @t214))) % 114.11/114.32 (step @p137 :rule refl :args (@t201)) % 114.11/114.32 (step @p138 :rule refl :args (@t203)) % 114.11/114.32 (step @p139 :rule evaluate :args ((not true))) % 114.11/114.32 (step @p140 :rule eq-refl :args (@t2)) % 114.11/114.32 (step @p141 :rule cong :premises (@p140) :args (@t215)) % 114.11/114.32 (step @p142 :rule trans :premises (@p141 @p139)) % 114.11/114.32 (step @p143 :rule nary_cong :premises (@p106 @p142 @p138 @p137) :args (@t216)) % 114.11/114.32 (step @p144 :rule trans :premises (@p143 @p136)) % 114.11/114.32 (step @p145 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t110) @t220 @t154 @t219 @t217)) @t216))) % 114.11/114.32 (step @p146 :rule refl :args (@t217)) % 114.11/114.32 (step @p147 :rule refl :args (@t219)) % 114.11/114.32 (step @p148 :rule refl :args (@t154)) % 114.11/114.32 (step @p149 :rule refl :args (@t220)) % 114.11/114.32 (step @p150 :rule eq-symm :args (@t2 @t12)) % 114.11/114.32 (step @p151 :rule cong :premises (@p150) :args (@t154)) % 114.11/114.32 (step @p152 :rule nary_cong :premises (@p151 @p149 @p148 @p147 @p146) :args (@t221)) % 114.11/114.32 (step @p153 :rule aci_norm :args ((= @t222 @t221))) % 114.11/114.32 (step @p154 :rule trans :premises (@p153 @p152)) % 114.11/114.32 (step @p155 :rule cong :premises (@p154) :args (@t223)) % 114.11/114.32 (step @p156 :rule trans :premises (@p155 @p145)) % 114.11/114.32 (step @p157 :rule trans :premises (@p156 @p144)) % 114.11/114.32 (step @p158 :rule refl :args (@t208)) % 114.11/114.32 (step @p159 :rule refl :args (@t204)) % 114.11/114.32 (step @p160 :rule refl :args (@t207)) % 114.11/114.32 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t224)) % 114.11/114.32 (step @p162 :rule trans :premises (@p161 @p135)) % 114.11/114.32 (step @p163 :rule quant-miniscope-or :args ((= (forall @t16 @t225) @t224))) % 114.11/114.32 (step @p164 :rule aci_norm :args ((= @t226 @t225))) % 114.11/114.32 (step @p165 :rule cong :premises (@p164) :args ((forall @t16 @t226))) % 114.11/114.32 (step @p166 :rule trans :premises (@p165 @p163)) % 114.11/114.32 (step @p167 :rule trans :premises (@p166 @p162)) % 114.11/114.32 (step @p168 :rule aci_norm :args ((= (or @t220 @t227) @t226))) % 114.11/114.32 (step @p169 :rule bool-impl-elim :args (@t15 @t227)) % 114.11/114.32 (step @p170 :rule trans :premises (@p169 @p168)) % 114.11/114.32 (step @p171 :rule cong :premises (@p170) :args ((forall @t16 (=> @t15 @t227)))) % 114.11/114.32 (step @p172 :rule trans :premises (@p171 @p167)) % 114.11/114.32 (step @p173 :rule aci_norm :args ((= (or @t154 @t207 @t204 @t228) @t227))) % 114.11/114.32 (step @p174 :rule aci_norm :args ((= (or @t208 false @t219 @t217) @t228))) % 114.11/114.32 (step @p175 :rule refl :args (@t217)) % 114.11/114.32 (step @p176 :rule refl :args (@t219)) % 114.11/114.32 (step @p177 :rule eq-refl :args (@t1)) % 114.11/114.32 (step @p178 :rule cong :premises (@p177) :args (@t229)) % 114.11/114.32 (step @p179 :rule trans :premises (@p178 @p139)) % 114.11/114.32 (step @p180 :rule nary_cong :premises (@p158 @p179 @p176 @p175) :args (@t230)) % 114.11/114.32 (step @p181 :rule trans :premises (@p180 @p174)) % 114.11/114.32 (step @p182 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t156 @t155 @t240 @t239)) @t230))) % 114.11/114.32 (step @p183 :rule refl :args (@t239)) % 114.11/114.32 (step @p184 :rule refl :args (@t240)) % 114.11/114.32 (step @p185 :rule refl :args (@t155)) % 114.11/114.32 (step @p186 :rule refl :args (@t156)) % 114.11/114.32 (step @p187 :rule eq-symm :args (@t1 @t10)) % 114.11/114.32 (step @p188 :rule cong :premises (@p187) :args (@t155)) % 114.11/114.32 (step @p189 :rule nary_cong :premises (@p188 @p186 @p185 @p184 @p183) :args (@t241)) % 114.11/114.32 (step @p190 :rule aci_norm :args ((= @t242 @t241))) % 114.11/114.32 (step @p191 :rule trans :premises (@p190 @p189)) % 114.11/114.32 (step @p192 :rule cong :premises (@p191) :args (@t243)) % 114.11/114.32 (step @p193 :rule trans :premises (@p192 @p182)) % 114.11/114.32 (step @p194 :rule trans :premises (@p193 @p181)) % 114.11/114.32 (step @p195 :rule refl :args (@t154)) % 114.11/114.32 (step @p196 :rule nary_cong :premises (@p195 @p160 @p159 @p194) :args (@t244)) % 114.11/114.32 (step @p197 :rule trans :premises (@p196 @p173)) % 114.11/114.32 (step @p198 :rule quant-miniscope-or :args ((= (forall @t14 @t245) @t244))) % 114.11/114.32 (step @p199 :rule aci_norm :args ((= @t246 @t245))) % 114.11/114.32 (step @p200 :rule cong :premises (@p199) :args ((forall @t14 @t246))) % 114.11/114.32 (step @p201 :rule trans :premises (@p200 @p198)) % 114.11/114.32 (step @p202 :rule trans :premises (@p201 @p197)) % 114.11/114.32 (step @p203 :rule aci_norm :args ((= (and (and @t122 @t238 @t237 @t236 @t235 @t234) @t121) @t239))) % 114.11/114.32 (step @p204 :rule refl :args (@t121)) % 114.11/114.32 (step @p205 :rule refl :args (@t234)) % 114.11/114.32 (step @p206 :rule bool-double-not-elim :args (@t235)) % 114.11/114.32 (step @p207 :rule bool-double-not-elim :args (@t236)) % 114.11/114.32 (step @p208 :rule bool-double-not-elim :args (@t237)) % 114.11/114.32 (step @p209 :rule bool-double-not-elim :args (@t238)) % 114.11/114.32 (step @p210 :rule bool-double-not-elim :args (@t122)) % 114.11/114.32 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208 @p207 @p206 @p205) :args (@t257)) % 114.11/114.32 (step @p212 :rule aci_norm :args ((= (and @t256 (and @t254 (and @t252 (and @t250 (and @t248 @t234))))) @t257))) % 114.11/114.32 (step @p213 :rule trans :premises (@p212 @p211)) % 114.11/114.32 (step @p214 :rule bool-or-de-morgan :args (@t247 @t233 false)) % 114.11/114.32 (step @p215 :rule refl :args (@t250)) % 114.11/114.32 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((and @t250 (not @t258)))) % 114.11/114.32 (step @p217 :rule bool-or-de-morgan :args (@t249 @t247 (or @t233))) % 114.11/114.32 (step @p218 :rule trans :premises (@p217 @p216)) % 114.11/114.32 (step @p219 :rule refl :args (@t252)) % 114.11/114.32 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((and @t252 (not (or @t249 @t247 @t233))))) % 114.11/114.32 (step @p221 :rule bool-or-de-morgan :args (@t251 @t249 (or @t247 @t233))) % 114.11/114.32 (step @p222 :rule trans :premises (@p221 @p220)) % 114.11/114.32 (step @p223 :rule refl :args (@t254)) % 114.11/114.32 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((and @t254 (not (or @t251 @t249 @t247 @t233))))) % 114.11/114.32 (step @p225 :rule bool-or-de-morgan :args (@t253 @t251 (or @t249 @t247 @t233))) % 114.11/114.32 (step @p226 :rule trans :premises (@p225 @p224)) % 114.11/114.32 (step @p227 :rule refl :args (@t256)) % 114.11/114.32 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((and @t256 (not (or @t253 @t251 @t249 @t247 @t233))))) % 114.11/114.32 (step @p229 :rule bool-or-de-morgan :args (@t255 @t253 (or @t251 @t249 @t247 @t233))) % 114.11/114.32 (step @p230 :rule trans :premises (@p229 @p228)) % 114.11/114.32 (step @p231 :rule trans :premises (@p230 @p213)) % 114.11/114.32 (step @p232 :rule nary_cong :premises (@p231 @p204) :args (@t260)) % 114.11/114.32 (step @p233 :rule trans :premises (@p232 @p203)) % 114.11/114.32 (step @p234 :rule refl :args (@t204)) % 114.11/114.32 (step @p235 :rule refl :args (@t207)) % 114.11/114.32 (step @p236 :rule nary_cong :premises (@p186 @p185 @p148 @p235 @p184 @p234 @p233) :args (@t261)) % 114.11/114.32 (step @p237 :rule cong :premises (@p236) :args ((forall @t14 @t261))) % 114.11/114.32 (step @p238 :rule trans :premises (@p237 @p202)) % 114.11/114.32 (step @p239 :rule refl :args (@t121)) % 114.11/114.32 (step @p240 :rule aci_norm :args ((= (or @t255 @t253 @t251 @t249 @t258) @t259))) % 114.11/114.32 (step @p241 :rule aci_norm :args ((= (or @t247 @t233 false) @t258))) % 114.11/114.32 (step @p242 :rule eq-refl :args (@t232)) % 114.11/114.32 (step @p243 :rule cong :premises (@p242) :args (@t262)) % 114.11/114.32 (step @p244 :rule trans :premises (@p243 @p139)) % 114.11/114.32 (step @p245 :rule refl :args (@t233)) % 114.11/114.32 (step @p246 :rule refl :args (@t247)) % 114.11/114.32 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args (@t263)) % 114.11/114.32 (step @p248 :rule trans :premises (@p247 @p241)) % 114.11/114.32 (step @p249 :rule quant-var-elim-eq :args ((= (forall @t31 @t266) @t263))) % 114.11/114.32 (step @p250 :rule aci_norm :args ((= @t267 @t266))) % 114.11/114.32 (step @p251 :rule cong :premises (@p250) :args (@t268)) % 114.11/114.32 (step @p252 :rule trans :premises (@p251 @p249)) % 114.11/114.32 (step @p253 :rule trans :premises (@p252 @p248)) % 114.11/114.32 (step @p254 :rule refl :args (@t249)) % 114.11/114.32 (step @p255 :rule refl :args (@t251)) % 114.11/114.32 (step @p256 :rule refl :args (@t253)) % 114.11/114.32 (step @p257 :rule refl :args (@t255)) % 114.11/114.32 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255 @p254 @p253) :args (@t269)) % 114.11/114.32 (step @p259 :rule trans :premises (@p258 @p240)) % 114.11/114.32 (step @p260 :rule quant-miniscope-or :args ((= (forall @t31 @t270) @t269))) % 114.11/114.32 (step @p261 :rule aci_norm :args ((= @t271 @t270))) % 114.11/114.32 (step @p262 :rule cong :premises (@p261) :args ((forall @t31 @t271))) % 114.11/114.32 (step @p263 :rule trans :premises (@p262 @p260)) % 114.11/114.32 (step @p264 :rule trans :premises (@p263 @p259)) % 114.11/114.32 (step @p265 :rule aci_norm :args ((= (or @t265 @t142 @t272) @t271))) % 114.11/114.32 (step @p266 :rule bool-double-not-elim :args (@t272)) % 114.11/114.32 (step @p267 :rule bool-double-not-elim :args (@t142)) % 114.11/114.32 (step @p268 :rule refl :args (@t265)) % 114.11/114.32 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266) :args (@t276)) % 114.11/114.32 (step @p270 :rule aci_norm :args ((= (or @t265 (or @t275 @t274)) @t276))) % 114.11/114.32 (step @p271 :rule trans :premises (@p270 @p269)) % 114.11/114.32 (step @p272 :rule bool-and-de-morgan :args (@t143 @t273 true)) % 114.11/114.32 (step @p273 :rule nary_cong :premises (@p268 @p272) :args ((or @t265 (not (and @t143 @t273))))) % 114.11/114.32 (step @p274 :rule bool-and-de-morgan :args (@t30 @t143 (and @t273))) % 114.11/114.32 (step @p275 :rule trans :premises (@p274 @p273)) % 114.11/114.32 (step @p276 :rule trans :premises (@p275 @p271)) % 114.11/114.32 (step @p277 :rule trans :premises (@p276 @p265)) % 114.11/114.32 (step @p278 :rule cong :premises (@p277) :args (@t278)) % 114.11/114.32 (step @p279 :rule trans :premises (@p278 @p264)) % 114.11/114.32 (step @p280 :rule cong :premises (@p279) :args (@t279)) % 114.11/114.32 (step @p281 :rule exists-elim :args ((= (exists @t31 @t277) @t279))) % 114.11/114.32 (step @p282 :rule trans :premises (@p281 @p280)) % 114.11/114.32 (step @p283 :rule aci_norm :args ((= (or @t255 @t253 @t251 @t280) @t272))) % 114.11/114.32 (step @p284 :rule aci_norm :args ((= (or @t249 false @t264) @t280))) % 114.11/114.32 (step @p285 :rule refl :args (@t264)) % 114.11/114.32 (step @p286 :rule eq-refl :args (@t133)) % 114.11/114.32 (step @p287 :rule cong :premises (@p286) :args (@t281)) % 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@p381 :rule trans :premises (@p380 @p378)) % 114.11/114.32 (step @p382 :rule trans :premises (@p381 @p377)) % 114.11/114.32 (step @p383 :rule aci_norm :args ((= (or @t325 (or @t324 (or @t322 @t255))) @t331))) % 114.11/114.32 (step @p384 :rule bool-and-de-morgan :args (@t321 @t122 true)) % 114.11/114.32 (step @p385 :rule refl :args (@t324)) % 114.11/114.32 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t324 (not (and @t321 @t122))))) % 114.11/114.32 (step @p387 :rule bool-and-de-morgan :args (@t323 @t321 (and @t122))) % 114.11/114.32 (step @p388 :rule trans :premises (@p387 @p386)) % 114.11/114.32 (step @p389 :rule refl :args (@t325)) % 114.11/114.32 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t325 (not (and @t323 @t321 @t122))))) % 114.11/114.32 (step @p391 :rule bool-and-de-morgan :args (@t127 @t323 (and @t321 @t122))) % 114.11/114.32 (step @p392 :rule trans :premises (@p391 @p390)) % 114.11/114.32 (step @p393 :rule trans :premises (@p392 @p383)) % 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:premises (@p407 @p406 @p405 @p404 @p362) :args (@t135)) % 114.11/114.32 (step @p409 :rule cong :premises (@p408) :args (@t137)) % 114.11/114.32 (step @p410 :rule trans :premises (@p409 @p361)) % 114.11/114.32 (step @p411 :rule refl :args (@t138)) % 114.11/114.32 (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t139)) % 114.11/114.32 (step @p413 :rule cong :premises (@p412) :args (@t141)) % 114.11/114.32 (step @p414 :rule trans :premises (@p413 @p314)) % 114.11/114.32 (step @p415 :rule refl :args (@t143)) % 114.11/114.32 (step @p416 :rule refl :args (@t30)) % 114.11/114.32 (step @p417 :rule nary_cong :premises (@p416 @p415 @p414) :args (@t144)) % 114.11/114.32 (step @p418 :rule cong :premises (@p417) :args (@t145)) % 114.11/114.32 (step @p419 :rule trans :premises (@p418 @p282)) % 114.11/114.32 (step @p420 :rule nary_cong :premises (@p419 @p239) :args (@t146)) % 114.11/114.32 (step @p421 :rule eq-symm :args (tptp.nil @t2)) % 114.11/114.32 (step @p422 :rule eq-symm :args 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@p433) :args ((or @t179 (not (and @t151 @t150 @t149))))) % 114.11/114.32 (step @p436 :rule bool-and-de-morgan :args (@t32 @t151 (and @t150 @t149))) % 114.11/114.32 (step @p437 :rule trans :premises (@p436 @p435)) % 114.11/114.32 (step @p438 :rule trans :premises (@p437 @p428)) % 114.11/114.32 (step @p439 :rule cong :premises (@p438) :args (@t335)) % 114.11/114.32 (step @p440 :rule cong :premises (@p439) :args (@t336)) % 114.11/114.32 (step @p441 :rule exists-elim :args ((= @t153 @t336))) % 114.11/114.32 (step @p442 :rule trans :premises (@p441 @p440)) % 114.11/114.32 (step @p443 :rule refl :args (@t155)) % 114.11/114.32 (step @p444 :rule refl :args (@t156)) % 114.11/114.32 (step @p445 :rule nary_cong :premises (@p444 @p443 @p195 @p442 @p427 @p423 @p420) :args (@t157)) % 114.11/114.32 (step @p446 :rule cong :premises (@p445) :args (@t158)) % 114.11/114.32 (step @p447 :rule trans :premises (@p446 @p238)) % 114.11/114.32 (step @p448 :rule refl :args (@t15)) % 114.11/114.32 (step @p449 :rule cong :premises (@p448 @p447) :args (@t159)) % 114.11/114.32 (step @p450 :rule cong :premises (@p449) :args (@t160)) % 114.11/114.32 (step @p451 :rule trans :premises (@p450 @p172)) % 114.11/114.32 (step @p452 :rule refl :args (@t21)) % 114.11/114.32 (step @p453 :rule cong :premises (@p452 @p451) :args (@t161)) % 114.11/114.32 (step @p454 :rule cong :premises (@p453) :args (@t162)) % 114.11/114.32 (step @p455 :rule trans :premises (@p454 @p134)) % 114.11/114.32 (step @p456 :rule refl :args (@t17)) % 114.11/114.32 (step @p457 :rule cong :premises (@p456 @p455) :args (@t163)) % 114.11/114.32 (step @p458 :rule cong :premises (@p457) :args (@t164)) % 114.11/114.32 (step @p459 :rule trans :premises (@p458 @p125)) % 114.11/114.32 (step @p460 :rule cong :premises (@p459) :args (@t165)) % 114.11/114.32 (step @p461 :rule eq_resolve :premises (@p96 @p460)) % 114.11/114.32 (step @p462 :rule refl :args (@t366)) % 114.11/114.32 (step @p463 :rule bool-double-not-elim :args (@t338)) % 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114.11/114.32 (assume-push @p1183 @t367) % 114.11/114.32 (step @p479 :rule skolemize :premises (@p461)) % 114.11/114.32 (step-pop @p1184 :rule scope :premises (@p479)) % 114.11/114.32 (step @p480 :rule process_scope :premises (@p1184) :args (@t373)) % 114.11/114.32 (step @p482 :rule eq_resolve :premises (@p480 @p477)) % 114.11/114.32 (step @p483 :rule implies_elim :premises (@p482)) % 114.11/114.32 (step @p484 :rule eq_resolve :premises (@p483 @p464)) % 114.11/114.32 (step @p485 :rule chain_m_resolution :premises (@p484 @p461) :args (@t366 @t374 (@list @t338))) % 114.11/114.32 (step @p486 :rule cnf_or_neg :args (@t365 4)) % 114.11/114.32 (step @p487 :rule chain_m_resolution :premises (@p486 @p485) :args ((not @t357) @t374 @t375)) % 114.11/114.32 (step @p488 :rule aci_norm :args ((= @t381 @t379))) % 114.11/114.32 (step @p489 :rule cong :premises (@p488) :args (@t383)) % 114.11/114.32 (step @p490 :rule quant-merge-prenex :args ((= (forall @t9 @t385) @t383))) % 114.11/114.32 (step @p491 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(step @p838 :rule cong :premises (@p837) :args (@t550)) % 114.11/114.33 (step @p839 :rule quant-merge-prenex :args ((= (forall @t9 @t552) @t550))) % 114.11/114.33 (step @p840 :rule alpha_equiv :args (@t553 (@list @t540 @t542 @t541) (@list @t1 @t555 @t554))) % 114.11/114.33 (step @p841 :rule nary_cong :premises (@p113 @p840) :args (@t556)) % 114.11/114.33 (step @p842 :rule quant-miniscope-or :args ((= @t552 @t556))) % 114.11/114.33 (step @p843 :rule trans :premises (@p842 @p841)) % 114.11/114.33 (step @p844 :rule symm :premises (@p843)) % 114.11/114.33 (step @p845 :rule cong :premises (@p844) :args ((forall @t9 (or @t182 @t563)))) % 114.11/114.33 (step @p846 :rule trans :premises (@p845 @p839)) % 114.11/114.33 (step @p847 :rule trans :premises (@p846 @p838)) % 114.11/114.33 (step @p848 :rule bool-impl-elim :args (@t17 @t563)) % 114.11/114.33 (step @p849 :rule cong :premises (@p848) :args ((forall @t9 (=> @t17 @t563)))) % 114.11/114.33 (step @p850 :rule trans :premises (@p849 @p847)) % 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@t608 (not @t609)))) % 114.11/114.33 (step @p943 :rule chain_m_resolution :premises (@p942 @p515 @p940) :args (@t608 @t610 (@list @t361 @t609))) % 114.11/114.33 (assume-push @p1197 @t459) % 114.11/114.33 (assume-push @p1198 @t414) % 114.11/114.33 (assume-push @p1199 @t608) % 114.11/114.33 (assume-push @p1200 @t496) % 114.11/114.33 (assume-push @p1201 @t600) % 114.11/114.33 (assume-push @p1202 @t600) % 114.11/114.33 (assume-push @p1203 @t496) % 114.11/114.33 (assume-push @p1204 @t459) % 114.11/114.33 (assume-push @p1205 @t414) % 114.11/114.33 (assume-push @p1206 @t608) % 114.11/114.33 (step @p954 :rule true_intro :premises (@p1201)) % 114.11/114.33 (step @p955 :rule refl :args (@t343)) % 114.11/114.33 (step @p956 :rule refl :args (tptp.nil)) % 114.11/114.33 (step @p957 :rule symm :premises (@p1200)) % 114.11/114.33 (step @p958 :rule refl :args (@t341)) % 114.11/114.33 (step @p959 :rule cong :premises (@p958 @p1197) :args (@t413)) % 114.11/114.33 (step @p960 :rule trans :premises (@p1198 @p959 @p957)) % 114.11/114.33 (step @p961 :rule cong :premises (@p960 @p956) :args (@t607)) % 114.11/114.33 (step @p962 :rule trans :premises (@p943 @p961)) % 114.11/114.33 (step @p963 :rule cong :premises (@p962 @p955) :args (@t611)) % 114.11/114.33 (step @p964 :rule trans :premises (@p963 @p954)) % 114.11/114.33 (step @p965 :rule true_elim :premises (@p964)) % 114.11/114.33 (step-pop @p1207 :rule scope :premises (@p965)) % 114.11/114.33 (step-pop @p1208 :rule scope :premises (@p1207)) % 114.11/114.33 (step-pop @p1209 :rule scope :premises (@p1208)) % 114.11/114.33 (step-pop @p1210 :rule scope :premises (@p1209)) % 114.11/114.33 (step-pop @p1211 :rule scope :premises (@p1210)) % 114.11/114.33 (step @p966 :rule process_scope :premises (@p1211) :args (@t611)) % 114.11/114.33 (step @p972 :rule and_intro :premises (@p1201 @p1200 @p1197 @p1198 @p943)) % 114.11/114.33 (step @p973 :rule modus_ponens :premises (@p972 @p966)) % 114.11/114.33 (step-pop @p1212 :rule scope :premises (@p973)) % 114.11/114.33 (step-pop @p1213 :rule scope :premises (@p1212)) % 114.11/114.33 (step-pop @p1214 :rule scope :premises (@p1213)) % 114.11/114.33 (step-pop @p1215 :rule scope :premises (@p1214)) % 114.11/114.33 (step-pop @p1216 :rule scope :premises (@p1215)) % 114.11/114.33 (step @p974 :rule process_scope :premises (@p1216) :args (@t611)) % 114.11/114.33 (step @p980 :rule implies_elim :premises (@p974)) % 114.11/114.33 (step @p981 :rule cnf_and_neg :args (@t612)) % 114.11/114.33 (step @p982 :rule resolution :premises (@p981 @p980) :args (true @t612)) % 114.11/114.33 (step @p983 :rule reordering :premises (@p982) :args ((or @t611 @t614 @t613 (not @t608) (not @t496) (not @t600)))) % 114.11/114.33 (assume-push @p1217 @t615) % 114.11/114.33 (step-pop @p1218 :rule scope :premises (@p697)) % 114.11/114.33 (step @p985 :rule process_scope :premises (@p1218) :args (@t461)) % 114.11/114.33 (step @p987 :rule implies_elim :premises (@p985)) % 114.11/114.33 (step @p988 :rule eq-symm :args (@t616 @t617)) % 114.11/114.33 (step @p989 :rule cong :premises (@p814) :args (@t618)) % 114.11/114.33 (step @p990 :rule refl :args (@t616)) % 114.11/114.33 (step @p991 :rule cong :premises (@p990 @p989) :args (@t619)) % 114.11/114.33 (step @p992 :rule trans :premises (@p991 @p988)) % 114.11/114.33 (step @p993 :rule nary_cong :premises (@p746 @p619 @p992) :args (@t620)) % 114.11/114.33 (step @p994 :rule cong :premises (@p621 @p993) :args ((=> @t421 @t620))) % 114.11/114.33 (assume-push @p1219 @t421) % 114.11/114.33 (step @p996 :rule instantiate :premises (@p507) :args ((@list @t343 tptp.nil))) % 114.11/114.33 (step-pop @p1220 :rule scope :premises (@p996)) % 114.11/114.33 (step @p997 :rule process_scope :premises (@p1220) :args (@t620)) % 114.11/114.33 (step @p999 :rule eq_resolve :premises (@p997 @p994)) % 114.11/114.33 (step @p1000 :rule implies_elim :premises (@p999)) % 114.11/114.33 (step @p1001 :rule cnf_or_pos :args (@t622)) % 114.11/114.33 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t391 @t460 @t621 (not @t622)))) % 114.11/114.33 (step @p1003 :rule refl :args (@t356)) % 114.11/114.33 (step @p1004 :rule bool-double-not-elim :args (@t530)) % 114.11/114.33 (step @p1005 :rule refl :args (@t347)) % 114.11/114.33 (step @p1006 :rule nary_cong :premises (@p1005 @p1004 @p1003) :args ((or @t347 (not @t605) @t356))) % 114.11/114.33 (assume-push @p1221 @t346) % 114.11/114.33 (assume-push @p1222 @t605) % 114.11/114.33 (assume-push @p1223 @t605) % 114.11/114.33 (assume-push @p1224 @t346) % 114.11/114.33 (step @p1011 :rule false_intro :premises (@p1222)) % 114.11/114.33 (step @p956 :rule refl :args (tptp.nil)) % 114.11/114.33 (step @p1012 :rule cong :premises (@p956 @p1221) :args (@t355)) % 114.11/114.33 (step @p1013 :rule trans :premises (@p1012 @p1011)) % 114.11/114.33 (step @p1014 :rule false_elim :premises (@p1013)) % 114.11/114.33 (step-pop @p1225 :rule scope :premises (@p1014)) % 114.11/114.33 (step-pop @p1226 :rule scope :premises (@p1225)) % 114.11/114.33 (step @p1015 :rule process_scope :premises (@p1226) :args (@t356)) % 114.11/114.33 (step @p1018 :rule and_intro :premises (@p1222 @p1221)) % 114.11/114.33 (step @p1019 :rule modus_ponens :premises (@p1018 @p1015)) % 114.11/114.33 (step-pop @p1227 :rule scope :premises (@p1019)) % 114.11/114.33 (step-pop @p1228 :rule scope :premises (@p1227)) % 114.11/114.33 (step @p1020 :rule process_scope :premises (@p1228) :args (@t356)) % 114.11/114.33 (step @p1023 :rule implies_elim :premises (@p1020)) % 114.11/114.33 (step @p1024 :rule cnf_and_neg :args (@t623)) % 114.11/114.33 (step @p1025 :rule resolution :premises (@p1024 @p1023) :args (true @t623)) % 114.11/114.33 (step @p1026 :rule eq_resolve :premises (@p1025 @p1006)) % 114.11/114.33 (step @p1027 :rule reordering :premises (@p1026) :args ((or @t347 @t356 @t530))) % 114.11/114.33 (step @p1028 :rule refl :args (@t624)) % 114.11/114.33 (step @p1029 :rule cong :premises (@p468 @p1028) :args ((= @t369 @t624))) % 114.11/114.33 (step @p1030 :rule eq-symm :args (@t624 @t369)) % 114.11/114.33 (step @p1031 :rule trans :premises (@p1030 @p1029)) % 114.11/114.33 (step @p1032 :rule nary_cong :premises (@p473 @p619 @p1031) :args (@t625)) % 114.11/114.33 (step @p1033 :rule cong :premises (@p621 @p1032) :args ((=> @t421 @t625))) % 114.11/114.33 (assume-push @p1229 @t421) % 114.11/114.33 (step @p1035 :rule instantiate :premises (@p507) :args ((@list @t345 tptp.nil))) % 114.11/114.33 (step-pop @p1230 :rule scope :premises (@p1035)) % 114.11/114.33 (step @p1036 :rule process_scope :premises (@p1230) :args (@t625)) % 114.11/114.33 (step @p1038 :rule eq_resolve :premises (@p1036 @p1033)) % 114.11/114.33 (step @p1039 :rule implies_elim :premises (@p1038)) % 114.11/114.33 (step @p1040 :rule chain_m_resolution :premises (@p1039 @p507) :args (@t627 @t404 @t424)) % 114.11/114.33 (step @p1041 :rule bool-double-not-elim :args (@t363)) % 114.11/114.33 (step @p1042 :rule nary_cong :premises (@p510 @p1041) :args ((or @t365 (not @t364)))) % 114.11/114.33 (step @p1043 :rule cnf_or_neg :args (@t365 0)) % 114.11/114.33 (step @p1044 :rule eq_resolve :premises (@p1043 @p1042)) % 114.11/114.33 (step @p1045 :rule reordering :premises (@p1044) :args ((or @t363 @t365))) % 114.11/114.33 (step @p1046 :rule chain_m_resolution :premises (@p1045 @p485) :args (@t363 @t374 @t375)) % 114.11/114.33 (step @p1047 :rule cnf_or_pos :args (@t627)) % 114.11/114.33 (step @p1048 :rule reordering :premises (@p1047) :args ((or @t391 @t364 @t626 (not @t627)))) % 114.11/114.33 (step @p1049 :rule chain_m_resolution :premises (@p1048 @p17 @p1046 @p1040) :args (@t626 @t393 (@list @t45 @t363 @t627))) % 114.11/114.33 (step @p1050 :rule bool-double-not-elim :args (@t355)) % 114.11/114.33 (step @p1051 :rule refl :args (@t628)) % 114.11/114.33 (step @p1052 :rule nary_cong :premises (@p1051 @p1050 @p1028) :args ((or @t628 @t629 @t624))) % 114.11/114.33 (step @p1053 :rule cnf_equiv_pos1 :args (@t626)) % 114.11/114.33 (step @p1054 :rule eq_resolve :premises (@p1053 @p1052)) % 114.11/114.33 (step @p1055 :rule reordering :premises (@p1054) :args ((or @t355 @t624 @t628))) % 114.11/114.33 (step @p1056 :rule bool-double-not-elim :args (@t359)) % 114.11/114.33 (step @p1057 :rule nary_cong :premises (@p510 @p1056) :args ((or @t365 (not @t360)))) % 114.11/114.33 (step @p1058 :rule cnf_or_neg :args (@t365 2)) % 114.11/114.33 (step @p1059 :rule eq_resolve :premises (@p1058 @p1057)) % 114.11/114.33 (step @p1060 :rule reordering :premises (@p1059) :args ((or @t359 @t365))) % 114.11/114.33 (step @p1061 :rule chain_m_resolution :premises (@p1060 @p485) :args (@t359 @t374 @t375)) % 114.11/114.33 (step @p1062 :rule instantiate :premises (@p1061) :args (@t630)) % 114.11/114.33 (step @p1063 :rule instantiate :premises (@p702) :args (@t630)) % 114.11/114.33 (step @p1064 :rule cnf_or_pos :args (@t632)) % 114.11/114.33 (step @p1065 :rule reordering :premises (@p1064) :args ((or @t364 @t631 (not @t632)))) % 114.11/114.33 (step @p1066 :rule chain_m_resolution :premises (@p1065 @p1046 @p1063) :args (@t631 @t610 (@list @t363 @t632))) % 114.11/114.33 (step @p1067 :rule cnf_or_pos :args (@t637)) % 114.11/114.33 (step @p1068 :rule reordering :premises (@p1067) :args ((or @t364 @t633 @t635 @t636 (not @t637)))) % 114.11/114.33 (step @p1069 :rule instantiate :premises (@p702) :args (@t402)) % 114.11/114.33 (step @p1070 :rule cnf_or_pos :args (@t639)) % 114.11/114.33 (step @p1071 :rule reordering :premises (@p1070) :args ((or @t362 @t638 (not @t639)))) % 114.11/114.33 (step @p1072 :rule chain_m_resolution :premises (@p1071 @p515 @p1069) :args (@t638 @t610 (@list @t361 @t639))) % 114.11/114.33 (step @p1073 :rule refl :args (@t613)) % 114.11/114.33 (step @p1074 :rule refl :args (@t640)) % 114.11/114.33 (step @p1075 :rule bool-double-not-elim :args (@t634)) % 114.11/114.33 (step @p1076 :rule refl :args (@t614)) % 114.11/114.33 (step @p1077 :rule refl :args (@t641)) % 114.11/114.33 (step @p1078 :rule refl :args (@t617)) % 114.11/114.33 (step @p1079 :rule nary_cong :premises (@p1005 @p1078 @p1077 @p1076 @p1075 @p1074 @p1073) :args ((or @t347 @t617 @t641 @t614 (not @t635) @t640 @t613))) % 114.11/114.33 (assume-push @p1231 @t638) % 114.11/114.33 (assume-push @p1232 @t414) % 114.11/114.33 (assume-push @p1233 @t534) % 114.11/114.33 (assume-push @p1234 @t538) % 114.11/114.33 (assume-push @p1235 @t459) % 114.11/114.33 (assume-push @p1236 @t346) % 114.11/114.33 (assume-push @p1237 @t635) % 114.11/114.33 (step @p1087 :rule evaluate :args ((= false true))) % 114.11/114.33 (step @p1088 :rule true_intro :premises (@p1072)) % 114.11/114.33 (step @p1089 :rule symm :premises (@p1232)) % 114.11/114.33 (step @p958 :rule refl :args (@t341)) % 114.11/114.33 (step @p1090 :rule cong :premises (@p958 @p1233) :args (@t342)) % 114.11/114.33 (step @p1091 :rule symm :premises (@p1234)) % 114.11/114.33 (step @p1092 :rule refl :args (@t342)) % 114.11/114.33 (step @p1093 :rule symm :premises (@p1233)) % 114.11/114.33 (step @p1094 :rule symm :premises (@p1235)) % 114.11/114.33 (step @p1095 :rule trans :premises (@p1094 @p1093)) % 114.11/114.33 (step @p1096 :rule cong :premises (@p1095 @p1092) :args (@t596)) % 114.11/114.33 (step @p1097 :rule cong :premises (@p1235 @p1092) :args (@t344)) % 114.11/114.33 (step @p1098 :rule trans :premises (@p1236 @p1097 @p1096 @p1091 @p1090 @p1089)) % 114.11/114.33 (step @p1099 :rule refl :args (@t339)) % 114.11/114.33 (step @p1100 :rule cong :premises (@p1099 @p1098) :args (@t634)) % 114.11/114.33 (step @p1101 :rule false_intro :premises (@p1237)) % 114.11/114.33 (step @p1102 :rule symm :premises (@p1101)) % 114.11/114.33 (step @p1103 :rule trans :premises (@p1102 @p1100 @p1088)) % 114.11/114.33 (step @p1104 false :rule eq_resolve :premises (@p1103 @p1087)) % 114.11/114.33 (step-pop @p1238 :rule scope :premises (@p1104)) % 114.11/114.33 (step-pop @p1239 :rule scope :premises (@p1238)) % 114.11/114.33 (step-pop @p1240 :rule scope :premises (@p1239)) % 114.11/114.33 (step-pop @p1241 :rule scope :premises (@p1240)) % 114.11/114.33 (step-pop @p1242 :rule scope :premises (@p1241)) % 114.11/114.33 (step-pop @p1243 :rule scope :premises (@p1242)) % 114.11/114.33 (step-pop @p1244 :rule scope :premises (@p1243)) % 114.11/114.33 (step @p1105 :rule process_scope :premises (@p1244) :args (false)) % 114.11/114.33 (assume-push @p1245 @t346) % 114.11/114.33 (assume-push @p1246 @t534) % 114.11/114.33 (assume-push @p1247 @t538) % 114.11/114.33 (assume-push @p1248 @t459) % 114.11/114.33 (assume-push @p1249 @t635) % 114.11/114.33 (assume-push @p1250 @t638) % 114.11/114.33 (assume-push @p1251 @t414) % 114.11/114.33 (step @p1120 :rule and_intro :premises (@p1072 @p1251 @p1246 @p1247 @p1248 @p1245 @p1249)) % 114.11/114.33 (step-pop @p1252 :rule scope :premises (@p1120)) % 114.11/114.33 (step-pop @p1253 :rule scope :premises (@p1252)) % 114.11/114.33 (step-pop @p1254 :rule scope :premises (@p1253)) % 114.11/114.33 (step-pop @p1255 :rule scope :premises (@p1254)) % 114.11/114.33 (step-pop @p1256 :rule scope :premises (@p1255)) % 114.11/114.33 (step-pop @p1257 :rule scope :premises (@p1256)) % 114.11/114.33 (step-pop @p1258 :rule scope :premises (@p1257)) % 114.11/114.33 (step @p1121 :rule process_scope :premises (@p1258) :args (@t642)) % 114.11/114.33 (step @p1129 :rule implies_elim :premises (@p1121)) % 114.11/114.33 (step @p1130 :rule resolution :premises (@p1129 @p1105) :args (true @t642)) % 114.11/114.33 (step @p1131 :rule not_and :premises (@p1130)) % 114.11/114.33 (step @p1132 :rule eq_resolve :premises (@p1131 @p1079)) % 114.11/114.33 (step @p1133 :rule reordering :premises (@p1132) :args ((or @t347 @t617 @t634 @t640 @t641 @t614 @t613))) % 114.11/114.33 (step @p1134 :rule bool-double-not-elim :args (@t534)) % 114.11/114.33 (step @p1135 :rule refl :args (@t643)) % 114.11/114.33 (step @p1136 :rule nary_cong :premises (@p1135 @p1134 @p990) :args ((or @t643 (not @t617) @t616))) % 114.11/114.33 (step @p1137 :rule cnf_equiv_pos1 :args (@t621)) % 114.11/114.33 (step @p1138 :rule eq_resolve :premises (@p1137 @p1136)) % 114.11/114.33 (step @p1139 :rule reordering :premises (@p1138) :args ((or @t534 @t616 @t643))) % 114.11/114.33 (step @p1140 :rule instantiate :premises (@p1061) :args (@t457)) % 114.11/114.33 (step @p1141 :rule cnf_or_pos :args (@t648)) % 114.11/114.33 (step @p1142 :rule reordering :premises (@p1141) :args ((or @t460 @t645 @t646 @t647 (not @t648)))) % 114.11/114.33 (assume-push @p1259 @t346) % 114.11/114.33 (assume-push @p1260 @t459) % 114.11/114.33 (assume-push @p1261 @t597) % 114.11/114.33 (assume-push @p1262 @t597) % 114.11/114.33 (assume-push @p1263 @t459) % 114.11/114.33 (assume-push @p1264 @t346) % 114.11/114.33 (step @p1149 :rule true_intro :premises (@p1261)) % 114.11/114.33 (step @p955 :rule refl :args (@t343)) % 114.11/114.33 (step @p1092 :rule refl :args (@t342)) % 114.11/114.33 (step @p1150 :rule cong :premises (@p1260 @p1092) :args (@t344)) % 114.11/114.33 (step @p1151 :rule trans :premises (@p1259 @p1150)) % 114.11/114.33 (step @p1152 :rule cong :premises (@p1151 @p955) :args (@t644)) % 114.11/114.33 (step @p1153 :rule trans :premises (@p1152 @p1149)) % 114.11/114.33 (step @p1154 :rule true_elim :premises (@p1153)) % 114.11/114.33 (step-pop @p1265 :rule scope :premises (@p1154)) % 114.11/114.33 (step-pop @p1266 :rule scope :premises (@p1265)) % 114.11/114.33 (step-pop @p1267 :rule scope :premises (@p1266)) % 114.11/114.33 (step @p1155 :rule process_scope :premises (@p1267) :args (@t644)) % 114.11/114.33 (step @p1159 :rule and_intro :premises (@p1261 @p1260 @p1259)) % 114.11/114.33 (step @p1160 :rule modus_ponens :premises (@p1159 @p1155)) % 114.11/114.33 (step-pop @p1268 :rule scope :premises (@p1160)) % 114.11/114.33 (step-pop @p1269 :rule scope :premises (@p1268)) % 114.11/114.33 (step-pop @p1270 :rule scope :premises (@p1269)) % 114.11/114.33 (step @p1161 :rule process_scope :premises (@p1270) :args (@t644)) % 114.11/114.33 (step @p1165 :rule implies_elim :premises (@p1161)) % 114.11/114.33 (step @p1166 :rule cnf_and_neg :args (@t649)) % 114.11/114.33 (step @p1167 :rule resolution :premises (@p1166 @p1165) :args (true @t649)) % 114.11/114.33 (step @p1168 :rule reordering :premises (@p1167) :args ((or @t347 @t644 @t614 @t650))) % 114.11/114.33 (step @p1169 :rule chain_m_resolution :premises (@p1168 @p1142 @p1140 @p1139 @p1133 @p1072 @p1068 @p1066 @p1062 @p1046 @p1055 @p1049 @p1027 @p1002 @p17 @p1000 @p507 @p699 @p987 @p696) :args ((or @t347 @t460 @t530 @t646 @t641 @t613 @t650) (@list true false false true false true false false false false false true false false false false false false false) (@list @t644 @t648 @t616 @t534 @t638 @t634 @t631 @t637 @t363 @t624 @t626 @t355 @t621 @t45 @t622 @t421 @t459 @t461 @t615))) % 114.11/114.33 (step @p1170 :rule chain_m_resolution :premises (@p1169 @p983 @p943 @p932 @p930 @p922 @p920 @p917 @p17 @p916 @p913 @p17 @p836 @p834 @p832 @p831 @p829 @p781 @p779 @p758 @p756 @p17 @p705 @p703 @p699 @p697 @p689 @p687 @p17 @p660 @p658 @p17 @p637 @p632 @p615 @p613 @p515 @p586 @p584 @p515 @p557 @p555 @p515 @p525 @p518) :args (@t354 (@list false false true false true false false false false false false true false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false) (@list @t611 @t608 @t530 @t346 @t353 @t600 @t601 @t45 @t597 @t599 @t45 @t535 @t538 @t539 @t536 @t537 @t348 @t511 @t496 @t497 @t45 @t462 @t463 @t459 @t461 @t453 @t455 @t45 @t350 @t440 @t45 @t340 @t422 @t414 @t417 @t361 @t349 @t409 @t361 @t351 @t403 @t361 @t352 @t390))) % 114.11/114.33 (step @p1171 :rule cnf_or_neg :args (@t365 3)) % 114.11/114.33 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p485) :args ((not @t358) @t374 @t375)) % 114.11/114.33 (step @p1173 :rule cnf_and_neg :args (@t358)) % 114.11/114.33 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t358 @t356 @t389))) % 114.11/114.33 (step @p1175 :rule chain_m_resolution :premises (@p1174 @p1172 @p1170) :args (@t356 (@list true false) (@list @t358 @t354))) % 114.11/114.33 (step @p1176 :rule refl :args (@t389)) % 114.11/114.33 (step @p1177 :rule refl :args (@t357)) % 114.11/114.33 (step @p1178 :rule nary_cong :premises (@p1177 @p1050 @p1176) :args ((or @t357 @t629 @t389))) % 114.11/114.33 (step @p1179 :rule cnf_and_neg :args (@t357)) % 114.11/114.33 (step @p1180 :rule eq_resolve :premises (@p1179 @p1178)) % 114.11/114.33 (step @p1181 :rule reordering :premises (@p1180) :args ((or @t355 @t357 @t389))) % 114.11/114.33 (step @p1182 false :rule chain_m_resolution :premises (@p1181 @p1175 @p1170 @p487) :args (false (@list true false true) (@list @t355 @t354 @t357))) % 114.11/114.33 ) % 114.11/114.33 % SZS output end Proof % 114.11/114.33 % cvc5 exiting %------------------------------------------------------------------------------