%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC421+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 : n004.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 08:59:15 AM UTC 2026 % Result : Theorem 32.51s 32.77s % Output : Proof 32.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC421+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 % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:47:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 32.51/32.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 32.51/32.77 --- Run --no-e-matching --full-saturate-quant at 6... % 32.51/32.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 32.51/32.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 32.51/32.77 % SZS status Theorem % 32.51/32.77 % SZS output start Proof % 32.51/32.77 ( % 32.51/32.77 (declare-sort $$unsorted 0) % 32.51/32.77 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 32.51/32.77 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 32.51/32.77 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 32.51/32.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 32.51/32.77 (declare-const tptp.nil $$unsorted) % 32.51/32.77 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.ssList (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 32.51/32.77 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 32.51/32.77 (define @t1 () (@var "V" $$unsorted)) % 32.51/32.77 (define @t2 () (@var "U" $$unsorted)) % 32.51/32.77 (define @t3 () (= @t2 @t1)) % 32.51/32.77 (define @t4 () (not @t3)) % 32.51/32.77 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 32.51/32.77 (define @t6 () (tptp.ssItem @t1)) % 32.51/32.77 (define @t7 () (@list @t1)) % 32.51/32.77 (define @t8 () (tptp.ssItem @t2)) % 32.51/32.77 (define @t9 () (@list @t2)) % 32.51/32.77 (define @t10 () (@var "X" $$unsorted)) % 32.51/32.77 (define @t11 () (tptp.cons @t1 @t10)) % 32.51/32.77 (define @t12 () (@var "W" $$unsorted)) % 32.51/32.77 (define @t13 () (tptp.ssList @t10)) % 32.51/32.77 (define @t14 () (@list @t10)) % 32.51/32.77 (define @t15 () (tptp.ssList @t12)) % 32.51/32.77 (define @t16 () (@list @t12)) % 32.51/32.77 (define @t17 () (tptp.ssList @t2)) % 32.51/32.77 (define @t18 () (tptp.cons @t1 tptp.nil)) % 32.51/32.77 (define @t19 () (tptp.app @t1 @t12)) % 32.51/32.77 (define @t20 () (tptp.frontsegP @t2 @t1)) % 32.51/32.77 (define @t21 () (tptp.ssList @t1)) % 32.51/32.77 (define @t22 () (tptp.app @t12 @t1)) % 32.51/32.77 (define @t23 () (tptp.rearsegP @t2 @t1)) % 32.51/32.77 (define @t24 () (tptp.segmentP @t2 @t1)) % 32.51/32.77 (define @t25 () (tptp.leq @t12 @t1)) % 32.51/32.77 (define @t26 () (tptp.leq @t1 @t12)) % 32.51/32.77 (define @t27 () (@var "Z" $$unsorted)) % 32.51/32.77 (define @t28 () (@var "Y" $$unsorted)) % 32.51/32.77 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 32.51/32.77 (define @t30 () (tptp.ssList @t27)) % 32.51/32.77 (define @t31 () (@list @t27)) % 32.51/32.77 (define @t32 () (tptp.ssList @t28)) % 32.51/32.77 (define @t33 () (@list @t28)) % 32.51/32.77 (define @t34 () (tptp.ssItem @t12)) % 32.51/32.77 (define @t35 () (tptp.lt @t1 @t12)) % 32.51/32.77 (define @t36 () (= @t1 @t12)) % 32.51/32.77 (define @t37 () (forall @t7 (=> @t21 @t5))) % 32.51/32.77 (define @t38 () (=> @t17 @t37)) % 32.51/32.77 (define @t39 () (forall @t9 @t38)) % 32.51/32.77 (define @t40 () (tptp.cons @t1 @t2)) % 32.51/32.77 (define @t41 () (tptp.ssList @t40)) % 32.51/32.77 (define @t42 () (forall @t7 (=> @t6 @t41))) % 32.51/32.77 (define @t43 () (=> @t17 @t42)) % 32.51/32.77 (define @t44 () (forall @t9 @t43)) % 32.51/32.77 (define @t45 () (tptp.ssList tptp.nil)) % 32.51/32.77 (define @t46 () (= @t1 @t2)) % 32.51/32.77 (define @t47 () (tptp.cons @t12 @t1)) % 32.51/32.77 (define @t48 () (= tptp.nil @t2)) % 32.51/32.77 (define @t49 () (tptp.hd @t2)) % 32.51/32.77 (define @t50 () (tptp.ssItem @t49)) % 32.51/32.77 (define @t51 () (not @t48)) % 32.51/32.77 (define @t52 () (=> @t51 @t50)) % 32.51/32.77 (define @t53 () (=> @t17 @t52)) % 32.51/32.77 (define @t54 () (forall @t9 @t53)) % 32.51/32.77 (define @t55 () (tptp.tl @t2)) % 32.51/32.77 (define @t56 () (tptp.ssList @t55)) % 32.51/32.77 (define @t57 () (=> @t51 @t56)) % 32.51/32.77 (define @t58 () (=> @t17 @t57)) % 32.51/32.77 (define @t59 () (forall @t9 @t58)) % 32.51/32.77 (define @t60 () (tptp.app @t2 @t1)) % 32.51/32.77 (define @t61 () (tptp.ssList @t60)) % 32.51/32.77 (define @t62 () (forall @t7 (=> @t21 @t61))) % 32.51/32.77 (define @t63 () (=> @t17 @t62)) % 32.51/32.77 (define @t64 () (forall @t9 @t63)) % 32.51/32.77 (define @t65 () (tptp.app @t1 @t2)) % 32.51/32.77 (define @t66 () (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))) % 32.51/32.77 (define @t67 () (forall @t16 (=> @t34 @t66))) % 32.51/32.77 (define @t68 () (=> @t21 @t67)) % 32.51/32.77 (define @t69 () (forall @t7 @t68)) % 32.51/32.77 (define @t70 () (=> @t17 @t69)) % 32.51/32.77 (define @t71 () (forall @t9 @t70)) % 32.51/32.77 (define @t72 () (tptp.app tptp.nil @t2)) % 32.51/32.77 (define @t73 () (=> @t17 (= @t72 @t2))) % 32.51/32.77 (define @t74 () (forall @t9 @t73)) % 32.51/32.77 (define @t75 () (tptp.leq @t1 @t2)) % 32.51/32.77 (define @t76 () (tptp.leq @t2 @t1)) % 32.51/32.77 (define @t77 () (tptp.geq @t2 @t1)) % 32.51/32.77 (define @t78 () (tptp.lt @t1 @t2)) % 32.51/32.77 (define @t79 () (tptp.lt @t2 @t1)) % 32.51/32.77 (define @t80 () (tptp.lt @t2 @t12)) % 32.51/32.77 (define @t81 () (tptp.gt @t2 @t1)) % 32.51/32.77 (define @t82 () (tptp.memberP @t12 @t2)) % 32.51/32.77 (define @t83 () (tptp.app @t12 @t2)) % 32.51/32.77 (define @t84 () (tptp.cons @t2 tptp.nil)) % 32.51/32.77 (define @t85 () (tptp.hd @t1)) % 32.51/32.77 (define @t86 () (= tptp.nil @t1)) % 32.51/32.77 (define @t87 () (not @t86)) % 32.51/32.77 (define @t88 () (tptp.cons @t2 @t1)) % 32.51/32.77 (define @t89 () (tptp.cons @t49 @t55)) % 32.51/32.77 (define @t90 () (=> @t51 (= @t89 @t2))) % 32.51/32.77 (define @t91 () (=> @t17 @t90)) % 32.51/32.77 (define @t92 () (forall @t9 @t91)) % 32.51/32.77 (define @t93 () (= @t12 @t2)) % 32.51/32.77 (define @t94 () (= @t40 (tptp.app @t18 @t2))) % 32.51/32.77 (define @t95 () (forall @t7 (=> @t6 @t94))) % 32.51/32.77 (define @t96 () (=> @t17 @t95)) % 32.51/32.77 (define @t97 () (forall @t9 @t96)) % 32.51/32.77 (define @t98 () (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))) % 32.51/32.77 (define @t99 () (forall @t16 (=> @t15 @t98))) % 32.51/32.77 (define @t100 () (=> @t21 @t99)) % 32.51/32.77 (define @t101 () (forall @t7 @t100)) % 32.51/32.77 (define @t102 () (=> @t17 @t101)) % 32.51/32.77 (define @t103 () (forall @t9 @t102)) % 32.51/32.77 (define @t104 () (tptp.neq tptp.nil @t12)) % 32.51/32.77 (define @t105 () (@var "X5" $$unsorted)) % 32.51/32.77 (define @t106 () (tptp.hd @t12)) % 32.51/32.77 (define @t107 () (@var "X4" $$unsorted)) % 32.51/32.77 (define @t108 () (tptp.cons @t105 tptp.nil)) % 32.51/32.77 (define @t109 () (tptp.ssItem @t105)) % 32.51/32.77 (define @t110 () (and @t109 (= @t108 @t107) (= @t106 @t105) @t104)) % 32.51/32.77 (define @t111 () (@list @t105)) % 32.51/32.77 (define @t112 () (exists @t111 @t110)) % 32.51/32.77 (define @t113 () (@var "X2" $$unsorted)) % 32.51/32.77 (define @t114 () (@var "X3" $$unsorted)) % 32.51/32.77 (define @t115 () (tptp.app @t114 @t107)) % 32.51/32.77 (define @t116 () (tptp.tl @t12)) % 32.51/32.77 (define @t117 () (tptp.ssList @t107)) % 32.51/32.77 (define @t118 () (and @t117 (= @t116 @t114) (= @t115 @t113) @t112 @t104)) % 32.51/32.77 (define @t119 () (@list @t107)) % 32.51/32.77 (define @t120 () (exists @t119 @t118)) % 32.51/32.77 (define @t121 () (tptp.ssList @t114)) % 32.51/32.77 (define @t122 () (and @t121 @t120)) % 32.51/32.77 (define @t123 () (@list @t114)) % 32.51/32.77 (define @t124 () (exists @t123 @t122)) % 32.51/32.77 (define @t125 () (= @t10 @t113)) % 32.51/32.77 (define @t126 () (not @t125)) % 32.51/32.77 (define @t127 () (tptp.ssList @t113)) % 32.51/32.77 (define @t128 () (and @t127 @t126 @t124)) % 32.51/32.77 (define @t129 () (@list @t113)) % 32.51/32.77 (define @t130 () (exists @t129 @t128)) % 32.51/32.77 (define @t131 () (not (tptp.neq @t12 tptp.nil))) % 32.51/32.77 (define @t132 () (or @t131 @t130)) % 32.51/32.77 (define @t133 () (tptp.neq @t10 tptp.nil)) % 32.51/32.77 (define @t134 () (and @t133 @t132)) % 32.51/32.77 (define @t135 () (not (= tptp.nil @t12))) % 32.51/32.77 (define @t136 () (and @t135 (= tptp.nil @t10))) % 32.51/32.77 (define @t137 () (tptp.cons @t28 tptp.nil)) % 32.51/32.77 (define @t138 () (@var "X1" $$unsorted)) % 32.51/32.77 (define @t139 () (tptp.app (tptp.app @t138 @t137) @t27)) % 32.51/32.77 (define @t140 () (tptp.app @t27 @t137)) % 32.51/32.77 (define @t141 () (tptp.app @t140 @t138)) % 32.51/32.77 (define @t142 () (tptp.ssList @t138)) % 32.51/32.77 (define @t143 () (and @t142 (= @t141 @t1) (= @t139 @t2))) % 32.51/32.77 (define @t144 () (@list @t138)) % 32.51/32.77 (define @t145 () (exists @t144 @t143)) % 32.51/32.77 (define @t146 () (and @t30 @t145)) % 32.51/32.77 (define @t147 () (exists @t31 @t146)) % 32.51/32.77 (define @t148 () (tptp.ssItem @t28)) % 32.51/32.77 (define @t149 () (and @t148 @t147)) % 32.51/32.77 (define @t150 () (exists @t33 @t149)) % 32.51/32.77 (define @t151 () (tptp.neq @t1 tptp.nil)) % 32.51/32.77 (define @t152 () (not @t151)) % 32.51/32.77 (define @t153 () (not (= @t2 @t12))) % 32.51/32.77 (define @t154 () (not (= @t1 @t10))) % 32.51/32.77 (define @t155 () (or @t154 @t153 @t152 @t150 @t136 @t134)) % 32.51/32.77 (define @t156 () (=> @t13 @t155)) % 32.51/32.77 (define @t157 () (forall @t14 @t156)) % 32.51/32.77 (define @t158 () (=> @t15 @t157)) % 32.51/32.77 (define @t159 () (forall @t16 @t158)) % 32.51/32.77 (define @t160 () (=> @t21 @t159)) % 32.51/32.77 (define @t161 () (forall @t7 @t160)) % 32.51/32.77 (define @t162 () (=> @t17 @t161)) % 32.51/32.77 (define @t163 () (forall @t9 @t162)) % 32.51/32.77 (define @t164 () (not @t163)) % 32.51/32.77 (define @t165 () (= @t2 tptp.nil)) % 32.51/32.77 (define @t166 () (not @t17)) % 32.51/32.77 (define @t167 () (or @t166 @t165 @t50)) % 32.51/32.77 (define @t168 () (not @t165)) % 32.51/32.77 (define @t169 () (not @t168)) % 32.51/32.77 (define @t170 () (=> @t168 @t50)) % 32.51/32.77 (define @t171 () (@var "BOUND_VARIABLE_11208" $$unsorted)) % 32.51/32.77 (define @t172 () (tptp.cons @t49 tptp.nil)) % 32.51/32.77 (define @t173 () (tptp.app @t55 @t172)) % 32.51/32.77 (define @t174 () (tptp.ssList @t173)) % 32.51/32.77 (define @t175 () (tptp.ssList @t172)) % 32.51/32.77 (define @t176 () (tptp.neq tptp.nil @t2)) % 32.51/32.77 (define @t177 () (not (tptp.neq @t2 tptp.nil))) % 32.51/32.77 (define @t178 () (tptp.neq @t171 tptp.nil)) % 32.51/32.77 (define @t179 () (@var "BOUND_VARIABLE_11015" $$unsorted)) % 32.51/32.77 (define @t180 () (@var "BOUND_VARIABLE_11017" $$unsorted)) % 32.51/32.77 (define @t181 () (tptp.app (tptp.app @t180 @t137) @t179)) % 32.51/32.77 (define @t182 () (not (= @t2 @t181))) % 32.51/32.77 (define @t183 () (tptp.app (tptp.app @t179 @t137) @t180)) % 32.51/32.77 (define @t184 () (not (tptp.ssList @t180))) % 32.51/32.77 (define @t185 () (not (tptp.ssList @t179))) % 32.51/32.77 (define @t186 () (not @t148)) % 32.51/32.77 (define @t187 () (@list @t28 @t179 @t180)) % 32.51/32.77 (define @t188 () (not @t178)) % 32.51/32.77 (define @t189 () (not (tptp.ssList @t171))) % 32.51/32.77 (define @t190 () (@list @t2 @t171)) % 32.51/32.77 (define @t191 () (forall @t190 (or @t166 @t189 @t188 (not (forall @t187 (or @t186 @t185 @t184 (not (= @t183 @t171)) @t182))) (and @t168 (= tptp.nil @t171)) (and @t178 (or @t177 (and @t176 @t50 @t175 @t56 @t174 (not (= @t173 @t171)))))))) % 32.51/32.77 (define @t192 () (@quantifiers_skolemize @t191 0)) % 32.51/32.77 (define @t193 () (tptp.hd @t192)) % 32.51/32.77 (define @t194 () (tptp.ssItem @t193)) % 32.51/32.77 (define @t195 () (tptp.ssList @t192)) % 32.51/32.77 (define @t196 () (not @t195)) % 32.51/32.77 (define @t197 () (= @t192 tptp.nil)) % 32.51/32.77 (define @t198 () (or @t196 @t197 @t194)) % 32.51/32.77 (define @t199 () (forall @t9 @t167)) % 32.51/32.77 (define @t200 () (@list @t192)) % 32.51/32.77 (define @t201 () (= tptp.nil @t192)) % 32.51/32.77 (define @t202 () (or @t196 @t201 @t194)) % 32.51/32.77 (define @t203 () (@list false)) % 32.51/32.77 (define @t204 () (@var "BOUND_VARIABLE_9146" $$unsorted)) % 32.51/32.77 (define @t205 () (= (tptp.neq @t2 @t204) (not (= @t2 @t204)))) % 32.51/32.77 (define @t206 () (not (tptp.ssList @t204))) % 32.51/32.77 (define @t207 () (or @t166 @t206 @t205)) % 32.51/32.77 (define @t208 () (or @t206 @t205)) % 32.51/32.77 (define @t209 () (or @t166 @t208)) % 32.51/32.77 (define @t210 () (@list @t2 @t204)) % 32.51/32.77 (define @t211 () (forall @t210 @t209)) % 32.51/32.77 (define @t212 () (@list @t204)) % 32.51/32.77 (define @t213 () (forall @t212 @t209)) % 32.51/32.77 (define @t214 () (forall @t212 @t208)) % 32.51/32.77 (define @t215 () (@list @t1)) % 32.51/32.77 (define @t216 () (or @t166 @t214)) % 32.51/32.77 (define @t217 () (not @t21)) % 32.51/32.77 (define @t218 () (forall @t7 (or @t217 @t5))) % 32.51/32.77 (define @t219 () (tptp.neq tptp.nil tptp.nil)) % 32.51/32.77 (define @t220 () (not (= tptp.nil tptp.nil))) % 32.51/32.77 (define @t221 () (= @t219 @t220)) % 32.51/32.77 (define @t222 () (not @t45)) % 32.51/32.77 (define @t223 () (or @t222 @t222 @t221)) % 32.51/32.77 (define @t224 () (forall @t210 @t207)) % 32.51/32.77 (define @t225 () (not @t219)) % 32.51/32.77 (define @t226 () (or @t222 @t222 @t225)) % 32.51/32.77 (define @t227 () (@list false false)) % 32.51/32.77 (define @t228 () (not (= @t171 @t173))) % 32.51/32.77 (define @t229 () (and @t176 @t50 @t175 @t56 @t174 @t228)) % 32.51/32.77 (define @t230 () (or @t177 @t229)) % 32.51/32.77 (define @t231 () (and @t178 @t230)) % 32.51/32.77 (define @t232 () (and @t168 (= @t171 tptp.nil))) % 32.51/32.77 (define @t233 () (not (= @t171 @t183))) % 32.51/32.77 (define @t234 () (or @t186 @t185 @t184 @t233 @t182)) % 32.51/32.77 (define @t235 () (forall @t187 @t234)) % 32.51/32.77 (define @t236 () (not @t235)) % 32.51/32.77 (define @t237 () (or @t166 @t189 @t188 @t236 @t232 @t231)) % 32.51/32.77 (define @t238 () (or @t189 @t188 @t236 @t232 @t231)) % 32.51/32.77 (define @t239 () (or @t166 @t238)) % 32.51/32.77 (define @t240 () (forall @t190 @t239)) % 32.51/32.77 (define @t241 () (@list @t171)) % 32.51/32.77 (define @t242 () (forall @t241 @t239)) % 32.51/32.77 (define @t243 () (forall @t241 @t238)) % 32.51/32.77 (define @t244 () (or @t166 @t243)) % 32.51/32.77 (define @t245 () (and @t151 (or @t177 (and @t176 @t50 @t175 @t56 @t174 (not (= @t1 @t173)))))) % 32.51/32.77 (define @t246 () (= @t1 tptp.nil)) % 32.51/32.77 (define @t247 () (and @t168 @t246)) % 32.51/32.77 (define @t248 () (not (= @t1 @t183))) % 32.51/32.77 (define @t249 () (or @t186 @t185 @t184 @t248 @t182)) % 32.51/32.77 (define @t250 () (not (forall @t187 @t249))) % 32.51/32.77 (define @t251 () (or @t217 @t152 @t250 @t247 @t245)) % 32.51/32.77 (define @t252 () (or @t166 (forall @t7 @t251))) % 32.51/32.77 (define @t253 () (or @t166 @t251)) % 32.51/32.77 (define @t254 () (or @t217 @t152 @t250 @t166 @t247 @t245)) % 32.51/32.77 (define @t255 () (or @t152 @t250 @t217 @t166 @t247 @t245)) % 32.51/32.77 (define @t256 () (or @t166 @t247 @t245)) % 32.51/32.77 (define @t257 () (not (= @t2 @t2))) % 32.51/32.77 (define @t258 () (or @t166 @t257 @t247 @t245)) % 32.51/32.77 (define @t259 () (tptp.cons @t106 tptp.nil)) % 32.51/32.77 (define @t260 () (tptp.app @t116 @t259)) % 32.51/32.77 (define @t261 () (tptp.ssList @t260)) % 32.51/32.77 (define @t262 () (tptp.ssList @t116)) % 32.51/32.77 (define @t263 () (tptp.ssList @t259)) % 32.51/32.77 (define @t264 () (tptp.ssItem @t106)) % 32.51/32.77 (define @t265 () (and @t151 (or @t131 (and @t104 @t264 @t263 @t262 @t261 (not (= @t1 @t260)))))) % 32.51/32.77 (define @t266 () (not (= @t12 tptp.nil))) % 32.51/32.77 (define @t267 () (and @t266 @t246)) % 32.51/32.77 (define @t268 () (not @t15)) % 32.51/32.77 (define @t269 () (or @t153 @t268 @t153 @t267 @t265)) % 32.51/32.77 (define @t270 () (or @t268 @t153 @t267 @t265)) % 32.51/32.77 (define @t271 () (forall @t16 @t270)) % 32.51/32.77 (define @t272 () (or @t152 @t250 @t217 @t271)) % 32.51/32.77 (define @t273 () (or @t152 @t250 @t217 @t270)) % 32.51/32.77 (define @t274 () (or @t268 @t153 @t152 @t250 @t217 @t267 @t265)) % 32.51/32.77 (define @t275 () (or @t153 @t152 @t250 @t217 @t267 @t265)) % 32.51/32.77 (define @t276 () (or @t217 @t267 @t265)) % 32.51/32.77 (define @t277 () (not (= @t1 @t1))) % 32.51/32.77 (define @t278 () (or @t217 @t277 @t267 @t265)) % 32.51/32.77 (define @t279 () (= @t10 @t260)) % 32.51/32.77 (define @t280 () (not @t279)) % 32.51/32.77 (define @t281 () (and @t133 (or @t131 (and @t104 @t264 @t263 @t262 @t261 @t280)))) % 32.51/32.77 (define @t282 () (and @t266 (= @t10 tptp.nil))) % 32.51/32.77 (define @t283 () (not @t13)) % 32.51/32.77 (define @t284 () (or @t154 @t283 @t154 @t282 @t281)) % 32.51/32.77 (define @t285 () (or @t283 @t154 @t282 @t281)) % 32.51/32.77 (define @t286 () (forall @t14 @t285)) % 32.51/32.77 (define @t287 () (or @t153 @t152 @t250 @t286)) % 32.51/32.77 (define @t288 () (or @t153 @t152 @t250 @t285)) % 32.51/32.77 (define @t289 () (or @t283 @t154 @t153 @t152 @t250 @t282 @t281)) % 32.51/32.77 (define @t290 () (not @t261)) % 32.51/32.77 (define @t291 () (not @t290)) % 32.51/32.77 (define @t292 () (not @t262)) % 32.51/32.77 (define @t293 () (not @t292)) % 32.51/32.77 (define @t294 () (not @t263)) % 32.51/32.77 (define @t295 () (not @t294)) % 32.51/32.77 (define @t296 () (not @t264)) % 32.51/32.77 (define @t297 () (not @t296)) % 32.51/32.77 (define @t298 () (not @t104)) % 32.51/32.77 (define @t299 () (not @t298)) % 32.51/32.77 (define @t300 () (and @t299 @t297 @t295 @t293 @t291 @t280)) % 32.51/32.77 (define @t301 () (or @t290 @t279)) % 32.51/32.77 (define @t302 () (or @t298 @t296 @t294 @t292 @t290 @t279)) % 32.51/32.77 (define @t303 () (or @t131 (not @t302))) % 32.51/32.77 (define @t304 () (and @t133 @t303)) % 32.51/32.77 (define @t305 () (or @t154 @t153 @t152 @t250 @t282 @t304)) % 32.51/32.77 (define @t306 () (not (= @t260 @t260))) % 32.51/32.77 (define @t307 () (or @t290 @t279 @t306)) % 32.51/32.77 (define @t308 () (not (= @t113 @t260))) % 32.51/32.77 (define @t309 () (not @t127)) % 32.51/32.77 (define @t310 () (or @t308 @t309 @t125 @t308)) % 32.51/32.77 (define @t311 () (or @t309 @t125 @t308)) % 32.51/32.77 (define @t312 () (forall @t129 @t311)) % 32.51/32.77 (define @t313 () (or @t298 @t296 @t294 @t292 @t312)) % 32.51/32.77 (define @t314 () (or @t298 @t296 @t294 @t292 @t311)) % 32.51/32.77 (define @t315 () (or @t309 @t125 @t298 @t296 @t294 @t292 @t308)) % 32.51/32.77 (define @t316 () (or @t298 @t296 @t294 @t292 @t308)) % 32.51/32.77 (define @t317 () (not @t316)) % 32.51/32.77 (define @t318 () (not @t317)) % 32.51/32.77 (define @t319 () (not @t126)) % 32.51/32.77 (define @t320 () (or @t309 @t319 @t318)) % 32.51/32.77 (define @t321 () (and @t127 @t126 @t317)) % 32.51/32.77 (define @t322 () (forall @t129 (not @t321))) % 32.51/32.77 (define @t323 () (not @t322)) % 32.51/32.77 (define @t324 () (or @t292 @t308)) % 32.51/32.77 (define @t325 () (not (= @t116 @t116))) % 32.51/32.77 (define @t326 () (or @t292 @t325 @t308)) % 32.51/32.77 (define @t327 () (not (= @t113 (tptp.app @t114 @t259)))) % 32.51/32.77 (define @t328 () (= @t114 @t116)) % 32.51/32.77 (define @t329 () (not @t328)) % 32.51/32.77 (define @t330 () (not @t121)) % 32.51/32.77 (define @t331 () (or @t329 @t330 @t329 @t327)) % 32.51/32.77 (define @t332 () (or @t330 @t329 @t327)) % 32.51/32.77 (define @t333 () (forall @t123 @t332)) % 32.51/32.77 (define @t334 () (or @t298 @t296 @t294 @t333)) % 32.51/32.77 (define @t335 () (or @t298 @t296 @t294 @t332)) % 32.51/32.77 (define @t336 () (or @t330 @t329 @t298 @t296 @t294 @t327)) % 32.51/32.77 (define @t337 () (or @t329 @t298 @t296 @t294 @t327)) % 32.51/32.77 (define @t338 () (not @t337)) % 32.51/32.77 (define @t339 () (and @t121 @t338)) % 32.51/32.77 (define @t340 () (forall @t123 (not @t339))) % 32.51/32.77 (define @t341 () (not @t340)) % 32.51/32.77 (define @t342 () (or @t294 @t327)) % 32.51/32.77 (define @t343 () (not (= @t259 @t259))) % 32.51/32.77 (define @t344 () (or @t294 @t327 @t343)) % 32.51/32.77 (define @t345 () (not (= @t107 @t259))) % 32.51/32.77 (define @t346 () (= @t113 @t115)) % 32.51/32.77 (define @t347 () (not @t346)) % 32.51/32.77 (define @t348 () (not @t117)) % 32.51/32.77 (define @t349 () (or @t345 @t348 @t347 @t345)) % 32.51/32.77 (define @t350 () (or @t348 @t347 @t345)) % 32.51/32.77 (define @t351 () (forall @t119 @t350)) % 32.51/32.77 (define @t352 () (or @t329 @t298 @t296 @t351)) % 32.51/32.77 (define @t353 () (or @t329 @t298 @t296 @t350)) % 32.51/32.77 (define @t354 () (or @t348 @t329 @t347 @t298 @t296 @t345)) % 32.51/32.77 (define @t355 () (or @t298 @t296 @t345)) % 32.51/32.77 (define @t356 () (not @t355)) % 32.51/32.77 (define @t357 () (not @t356)) % 32.51/32.77 (define @t358 () (or @t348 @t329 @t347 @t357 @t298)) % 32.51/32.77 (define @t359 () (and @t117 @t328 @t346 @t356 @t104)) % 32.51/32.77 (define @t360 () (forall @t119 (not @t359))) % 32.51/32.77 (define @t361 () (not @t360)) % 32.51/32.77 (define @t362 () (or @t296 @t345)) % 32.51/32.77 (define @t363 () (not (= @t106 @t106))) % 32.51/32.77 (define @t364 () (or @t296 @t345 @t363)) % 32.51/32.77 (define @t365 () (= @t105 @t106)) % 32.51/32.77 (define @t366 () (not @t365)) % 32.51/32.77 (define @t367 () (= @t107 @t108)) % 32.51/32.77 (define @t368 () (not @t367)) % 32.51/32.77 (define @t369 () (not @t109)) % 32.51/32.77 (define @t370 () (or @t366 @t369 @t368 @t366)) % 32.51/32.77 (define @t371 () (or @t369 @t368 @t366)) % 32.51/32.77 (define @t372 () (forall @t111 @t371)) % 32.51/32.77 (define @t373 () (or @t298 @t372)) % 32.51/32.77 (define @t374 () (or @t298 @t371)) % 32.51/32.77 (define @t375 () (or @t369 @t368 @t366 @t298)) % 32.51/32.77 (define @t376 () (and @t109 @t367 @t365 @t104)) % 32.51/32.77 (define @t377 () (forall @t111 (not @t376))) % 32.51/32.77 (define @t378 () (not @t377)) % 32.51/32.77 (define @t379 () (or @t185 @t184 @t248 @t182)) % 32.51/32.77 (define @t380 () (or @t186 @t379)) % 32.51/32.77 (define @t381 () (forall @t187 @t380)) % 32.51/32.77 (define @t382 () (@list @t179 @t180)) % 32.51/32.77 (define @t383 () (forall @t382 @t380)) % 32.51/32.77 (define @t384 () (forall @t382 @t379)) % 32.51/32.77 (define @t385 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 32.51/32.77 (define @t386 () (or @t186 @t384)) % 32.51/32.77 (define @t387 () (not (= @t2 (tptp.app (tptp.app @t385 @t137) @t27)))) % 32.51/32.77 (define @t388 () (not (= @t1 (tptp.app @t140 @t385)))) % 32.51/32.77 (define @t389 () (not (tptp.ssList @t385))) % 32.51/32.77 (define @t390 () (not @t30)) % 32.51/32.77 (define @t391 () (or @t390 @t389 @t388 @t387)) % 32.51/32.77 (define @t392 () (@list @t27 @t385)) % 32.51/32.77 (define @t393 () (forall @t392 @t391)) % 32.51/32.77 (define @t394 () (not @t393)) % 32.51/32.77 (define @t395 () (and @t148 @t394)) % 32.51/32.77 (define @t396 () (forall @t33 (not @t395))) % 32.51/32.77 (define @t397 () (not @t396)) % 32.51/32.77 (define @t398 () (or @t389 @t388 @t387)) % 32.51/32.77 (define @t399 () (or @t390 @t398)) % 32.51/32.77 (define @t400 () (forall @t392 @t399)) % 32.51/32.77 (define @t401 () (@list @t385)) % 32.51/32.77 (define @t402 () (forall @t401 @t399)) % 32.51/32.77 (define @t403 () (forall @t401 @t398)) % 32.51/32.77 (define @t404 () (or @t390 @t403)) % 32.51/32.77 (define @t405 () (= @t2 @t139)) % 32.51/32.77 (define @t406 () (not @t405)) % 32.51/32.77 (define @t407 () (= @t1 @t141)) % 32.51/32.77 (define @t408 () (not @t407)) % 32.51/32.77 (define @t409 () (not @t142)) % 32.51/32.77 (define @t410 () (or @t409 @t408 @t406)) % 32.51/32.77 (define @t411 () (forall @t144 @t410)) % 32.51/32.77 (define @t412 () (not @t411)) % 32.51/32.77 (define @t413 () (and @t30 @t412)) % 32.51/32.77 (define @t414 () (forall @t31 (not @t413))) % 32.51/32.77 (define @t415 () (not @t414)) % 32.51/32.77 (define @t416 () (and @t142 @t407 @t405)) % 32.51/32.77 (define @t417 () (forall @t144 (not @t416))) % 32.51/32.77 (define @t418 () (not @t417)) % 32.51/32.77 (define @t419 () (tptp.cons @t193 tptp.nil)) % 32.51/32.77 (define @t420 () (tptp.tl @t192)) % 32.51/32.77 (define @t421 () (tptp.app @t420 @t419)) % 32.51/32.77 (define @t422 () (@quantifiers_skolemize @t191 1)) % 32.51/32.77 (define @t423 () (= @t422 @t421)) % 32.51/32.77 (define @t424 () (not @t423)) % 32.51/32.77 (define @t425 () (tptp.ssList @t421)) % 32.51/32.77 (define @t426 () (tptp.ssList @t420)) % 32.51/32.77 (define @t427 () (tptp.ssList @t419)) % 32.51/32.77 (define @t428 () (tptp.neq tptp.nil @t192)) % 32.51/32.77 (define @t429 () (and @t428 @t194 @t427 @t426 @t425 @t424)) % 32.51/32.77 (define @t430 () (tptp.neq @t192 tptp.nil)) % 32.51/32.77 (define @t431 () (not @t430)) % 32.51/32.77 (define @t432 () (or @t431 @t429)) % 32.51/32.77 (define @t433 () (tptp.neq @t422 tptp.nil)) % 32.51/32.77 (define @t434 () (and @t433 @t432)) % 32.51/32.77 (define @t435 () (= tptp.nil @t422)) % 32.51/32.77 (define @t436 () (not @t201)) % 32.51/32.77 (define @t437 () (not (= @t183 @t422))) % 32.51/32.77 (define @t438 () (forall @t187 (or @t186 @t185 @t184 @t437 (not (= @t181 @t192))))) % 32.51/32.77 (define @t439 () (not @t438)) % 32.51/32.77 (define @t440 () (not @t433)) % 32.51/32.77 (define @t441 () (not (tptp.ssList @t422))) % 32.51/32.77 (define @t442 () (or @t196 @t441 @t440 @t439 (and @t436 @t435) @t434)) % 32.51/32.77 (define @t443 () (not @t442)) % 32.51/32.77 (define @t444 () (not @t191)) % 32.51/32.77 (define @t445 () (not (= @t421 @t422))) % 32.51/32.77 (define @t446 () (and @t428 @t194 @t427 @t426 @t425 @t445)) % 32.51/32.77 (define @t447 () (or @t431 @t446)) % 32.51/32.77 (define @t448 () (and @t433 @t447)) % 32.51/32.77 (define @t449 () (not @t197)) % 32.51/32.77 (define @t450 () (and @t449 @t435)) % 32.51/32.77 (define @t451 () (not (= @t192 @t181))) % 32.51/32.77 (define @t452 () (or @t186 @t185 @t184 @t437 @t451)) % 32.51/32.77 (define @t453 () (forall @t187 @t452)) % 32.51/32.77 (define @t454 () (not @t453)) % 32.51/32.77 (define @t455 () (or @t196 @t441 @t440 @t454 @t450 @t448)) % 32.51/32.77 (define @t456 () (not @t455)) % 32.51/32.77 (define @t457 () (@list true)) % 32.51/32.77 (define @t458 () (@list @t442)) % 32.51/32.77 (define @t459 () (not @t432)) % 32.51/32.77 (define @t460 () (@list false true)) % 32.51/32.77 (define @t461 () (@list @t432)) % 32.51/32.77 (define @t462 () (and @t225 @t201 @t430)) % 32.51/32.77 (define @t463 () (@list false true false)) % 32.51/32.77 (define @t464 () (or @t166 @t165 @t56)) % 32.51/32.77 (define @t465 () (=> @t168 @t56)) % 32.51/32.77 (define @t466 () (or @t196 @t197 @t426)) % 32.51/32.77 (define @t467 () (forall @t9 @t464)) % 32.51/32.77 (define @t468 () (or @t196 @t201 @t426)) % 32.51/32.77 (define @t469 () (tptp.app tptp.nil @t419)) % 32.51/32.77 (define @t470 () (tptp.app @t469 @t420)) % 32.51/32.77 (define @t471 () (not (= @t470 @t192))) % 32.51/32.77 (define @t472 () (tptp.app @t421 tptp.nil)) % 32.51/32.77 (define @t473 () (not (= @t472 @t422))) % 32.51/32.77 (define @t474 () (not @t426)) % 32.51/32.77 (define @t475 () (not @t194)) % 32.51/32.77 (define @t476 () (or @t475 @t474 @t222 @t473 @t471)) % 32.51/32.77 (define @t477 () (= @t192 @t470)) % 32.51/32.77 (define @t478 () (not @t477)) % 32.51/32.77 (define @t479 () (= @t422 @t472)) % 32.51/32.77 (define @t480 () (not @t479)) % 32.51/32.77 (define @t481 () (or @t475 @t474 @t222 @t480 @t478)) % 32.51/32.77 (define @t482 () (@var "BOUND_VARIABLE_9448" $$unsorted)) % 32.51/32.77 (define @t483 () (@var "BOUND_VARIABLE_9450" $$unsorted)) % 32.51/32.77 (define @t484 () (= (tptp.cons @t483 (tptp.app @t482 @t2)) (tptp.app (tptp.cons @t483 @t482) @t2))) % 32.51/32.77 (define @t485 () (not (tptp.ssItem @t483))) % 32.51/32.77 (define @t486 () (not (tptp.ssList @t482))) % 32.51/32.77 (define @t487 () (or @t166 @t486 @t485 @t484)) % 32.51/32.77 (define @t488 () (or @t486 @t485 @t484)) % 32.51/32.77 (define @t489 () (or @t166 @t488)) % 32.51/32.77 (define @t490 () (@list @t2 @t482 @t483)) % 32.51/32.77 (define @t491 () (forall @t490 @t489)) % 32.51/32.77 (define @t492 () (@list @t482 @t483)) % 32.51/32.77 (define @t493 () (forall @t492 @t489)) % 32.51/32.77 (define @t494 () (forall @t492 @t488)) % 32.51/32.77 (define @t495 () (@var "BOUND_VARIABLE_9430" $$unsorted)) % 32.51/32.77 (define @t496 () (or @t166 @t494)) % 32.51/32.77 (define @t497 () (= (tptp.cons @t495 @t65) (tptp.app (tptp.cons @t495 @t1) @t2))) % 32.51/32.77 (define @t498 () (not (tptp.ssItem @t495))) % 32.51/32.77 (define @t499 () (or @t217 @t498 @t497)) % 32.51/32.77 (define @t500 () (@list @t1 @t495)) % 32.51/32.77 (define @t501 () (forall @t500 @t499)) % 32.51/32.77 (define @t502 () (or @t498 @t497)) % 32.51/32.77 (define @t503 () (or @t217 @t502)) % 32.51/32.77 (define @t504 () (forall @t500 @t503)) % 32.51/32.77 (define @t505 () (@list @t495)) % 32.51/32.77 (define @t506 () (forall @t505 @t503)) % 32.51/32.77 (define @t507 () (forall @t505 @t502)) % 32.51/32.77 (define @t508 () (@list @t12)) % 32.51/32.77 (define @t509 () (or @t217 @t507)) % 32.51/32.77 (define @t510 () (forall @t16 (or (not @t34) @t66))) % 32.51/32.77 (define @t511 () (tptp.app tptp.nil tptp.nil)) % 32.51/32.77 (define @t512 () (tptp.cons @t193 @t511)) % 32.51/32.77 (define @t513 () (tptp.app @t419 tptp.nil)) % 32.51/32.77 (define @t514 () (or @t222 @t222 @t475 (= @t512 @t513))) % 32.51/32.77 (define @t515 () (forall @t490 @t487)) % 32.51/32.77 (define @t516 () (= @t513 @t512)) % 32.51/32.77 (define @t517 () (or @t222 @t222 @t475 @t516)) % 32.51/32.77 (define @t518 () (@list false false false)) % 32.51/32.77 (define @t519 () (@var "BOUND_VARIABLE_10611" $$unsorted)) % 32.51/32.77 (define @t520 () (@var "BOUND_VARIABLE_10609" $$unsorted)) % 32.51/32.77 (define @t521 () (= (tptp.app (tptp.app @t2 @t520) @t519) (tptp.app @t2 (tptp.app @t520 @t519)))) % 32.51/32.77 (define @t522 () (not (tptp.ssList @t519))) % 32.51/32.77 (define @t523 () (not (tptp.ssList @t520))) % 32.51/32.77 (define @t524 () (or @t523 @t522 @t521)) % 32.51/32.77 (define @t525 () (or @t166 @t524)) % 32.51/32.77 (define @t526 () (forall (@list @t2 @t520 @t519) @t525)) % 32.51/32.77 (define @t527 () (@list @t520 @t519)) % 32.51/32.77 (define @t528 () (forall @t527 @t525)) % 32.51/32.77 (define @t529 () (forall @t527 @t524)) % 32.51/32.77 (define @t530 () (@var "BOUND_VARIABLE_10591" $$unsorted)) % 32.51/32.77 (define @t531 () (or @t166 @t529)) % 32.51/32.77 (define @t532 () (= (tptp.app @t60 @t530) (tptp.app @t2 (tptp.app @t1 @t530)))) % 32.51/32.77 (define @t533 () (not (tptp.ssList @t530))) % 32.51/32.77 (define @t534 () (or @t217 @t533 @t532)) % 32.51/32.77 (define @t535 () (@list @t1 @t530)) % 32.51/32.77 (define @t536 () (forall @t535 @t534)) % 32.51/32.77 (define @t537 () (or @t533 @t532)) % 32.51/32.77 (define @t538 () (or @t217 @t537)) % 32.51/32.77 (define @t539 () (forall @t535 @t538)) % 32.51/32.77 (define @t540 () (@list @t530)) % 32.51/32.77 (define @t541 () (forall @t540 @t538)) % 32.51/32.77 (define @t542 () (forall @t540 @t537)) % 32.51/32.77 (define @t543 () (or @t217 @t542)) % 32.51/32.77 (define @t544 () (forall @t16 (or @t268 @t98))) % 32.51/32.77 (define @t545 () (@var "BOUND_VARIABLE_9167" $$unsorted)) % 32.51/32.77 (define @t546 () (tptp.ssList (tptp.cons @t545 @t2))) % 32.51/32.77 (define @t547 () (not (tptp.ssItem @t545))) % 32.51/32.77 (define @t548 () (or @t547 @t546)) % 32.51/32.77 (define @t549 () (or @t166 @t548)) % 32.51/32.77 (define @t550 () (forall (@list @t2 @t545) @t549)) % 32.51/32.77 (define @t551 () (@list @t545)) % 32.51/32.77 (define @t552 () (forall @t551 @t549)) % 32.51/32.77 (define @t553 () (forall @t551 @t548)) % 32.51/32.77 (define @t554 () (or @t166 @t553)) % 32.51/32.77 (define @t555 () (not @t6)) % 32.51/32.77 (define @t556 () (forall @t7 (or @t555 @t41))) % 32.51/32.77 (define @t557 () (or @t222 @t475 @t427)) % 32.51/32.77 (define @t558 () (= @t472 (tptp.app @t420 @t513))) % 32.51/32.77 (define @t559 () (not @t427)) % 32.51/32.77 (define @t560 () (or @t474 @t559 @t222 @t558)) % 32.51/32.77 (define @t561 () (@list false false false false)) % 32.51/32.77 (define @t562 () (= @t2 @t72)) % 32.51/32.77 (define @t563 () (= tptp.nil @t511)) % 32.51/32.77 (define @t564 () (or @t222 @t563)) % 32.51/32.77 (define @t565 () (@var "BOUND_VARIABLE_9411" $$unsorted)) % 32.51/32.77 (define @t566 () (tptp.ssList (tptp.app @t2 @t565))) % 32.51/32.77 (define @t567 () (not (tptp.ssList @t565))) % 32.51/32.77 (define @t568 () (or @t567 @t566)) % 32.51/32.77 (define @t569 () (or @t166 @t568)) % 32.51/32.77 (define @t570 () (forall (@list @t2 @t565) @t569)) % 32.51/32.77 (define @t571 () (@list @t565)) % 32.51/32.77 (define @t572 () (forall @t571 @t569)) % 32.51/32.77 (define @t573 () (forall @t571 @t568)) % 32.51/32.77 (define @t574 () (or @t166 @t573)) % 32.51/32.77 (define @t575 () (forall @t7 (or @t217 @t61))) % 32.51/32.77 (define @t576 () (or @t474 @t559 @t425)) % 32.51/32.77 (define @t577 () (= @t428 @t436)) % 32.51/32.77 (define @t578 () (or @t222 @t196 @t577)) % 32.51/32.77 (define @t579 () (not @t577)) % 32.51/32.77 (define @t580 () (not @t425)) % 32.51/32.77 (define @t581 () (not @t428)) % 32.51/32.77 (define @t582 () (and @t423 @t563 @t558 @t516)) % 32.51/32.77 (define @t583 () (@var "BOUND_VARIABLE_10570" $$unsorted)) % 32.51/32.77 (define @t584 () (= (tptp.cons @t583 @t2) (tptp.app (tptp.cons @t583 tptp.nil) @t2))) % 32.51/32.77 (define @t585 () (not (tptp.ssItem @t583))) % 32.51/32.77 (define @t586 () (or @t585 @t584)) % 32.51/32.77 (define @t587 () (or @t166 @t586)) % 32.51/32.77 (define @t588 () (forall (@list @t2 @t583) @t587)) % 32.51/32.77 (define @t589 () (@list @t583)) % 32.51/32.77 (define @t590 () (forall @t589 @t587)) % 32.51/32.77 (define @t591 () (forall @t589 @t586)) % 32.51/32.77 (define @t592 () (or @t166 @t591)) % 32.51/32.77 (define @t593 () (forall @t7 (or @t555 @t94))) % 32.51/32.77 (define @t594 () (tptp.app @t419 @t420)) % 32.51/32.77 (define @t595 () (tptp.cons @t193 @t420)) % 32.51/32.77 (define @t596 () (= @t595 @t594)) % 32.51/32.77 (define @t597 () (or @t474 @t475 @t596)) % 32.51/32.77 (define @t598 () (= @t2 @t89)) % 32.51/32.77 (define @t599 () (or @t166 @t165 @t598)) % 32.51/32.77 (define @t600 () (=> @t168 @t598)) % 32.51/32.77 (define @t601 () (= @t192 @t595)) % 32.51/32.77 (define @t602 () (or @t196 @t197 @t601)) % 32.51/32.77 (define @t603 () (forall @t9 @t599)) % 32.51/32.77 (define @t604 () (or @t196 @t201 @t601)) % 32.51/32.77 (define @t605 () (= @t419 @t469)) % 32.51/32.77 (define @t606 () (or @t559 @t605)) % 32.51/32.77 (define @t607 () (and @t605 @t601 @t596)) % 32.51/32.77 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 32.51/32.77 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 32.51/32.77 (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))))))))))) % 32.51/32.77 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 32.51/32.77 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 32.51/32.77 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 32.51/32.77 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 32.51/32.77 (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))))))))))))))))) % 32.51/32.77 (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)))))))))))))))) % 32.51/32.77 (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))))))))))))))))) % 32.51/32.77 (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))))))))))))))) % 32.51/32.77 (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))))))))))))))) % 32.51/32.77 (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)))))))))))))))) % 32.51/32.77 (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))))))))))))) % 32.51/32.77 (assume @p15 @t39) % 32.51/32.77 (assume @p16 @t44) % 32.51/32.77 (assume @p17 @t45) % 32.51/32.77 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 32.51/32.77 (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) @t46))))))))))) % 32.51/32.77 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 32.51/32.77 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 32.51/32.77 (assume @p22 @t54) % 32.51/32.77 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 32.51/32.77 (assume @p24 @t59) % 32.51/32.77 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 32.51/32.77 (assume @p26 @t64) % 32.51/32.77 (assume @p27 @t71) % 32.51/32.77 (assume @p28 @t74) % 32.51/32.77 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3)))))) % 32.51/32.77 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t26) (tptp.leq @t2 @t12))))))))) % 32.51/32.77 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 32.51/32.77 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t75)))))) % 32.51/32.77 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not @t78))))))) % 32.51/32.77 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 @t35) @t80)))))))) % 32.51/32.77 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t78)))))) % 32.51/32.77 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t82))))))))) % 32.51/32.77 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t82))))))))) % 32.51/32.77 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 32.51/32.77 (assume @p39 (not (tptp.singletonP tptp.nil))) % 32.51/32.77 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 32.51/32.77 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 32.51/32.77 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 32.51/32.77 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 32.51/32.77 (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)))))))))))) % 32.51/32.77 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 32.51/32.77 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 32.51/32.77 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 32.51/32.77 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 32.51/32.77 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 32.51/32.77 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t83 @t1))))))))) % 32.51/32.77 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 32.51/32.77 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 32.51/32.77 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 32.51/32.77 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 32.51/32.77 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 32.51/32.77 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t83 @t10) @t1))))))))))) % 32.51/32.77 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 32.51/32.77 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 32.51/32.77 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t84)))) % 32.51/32.77 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 32.51/32.77 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t84)))) % 32.51/32.77 (assume @p62 (tptp.totalorderP tptp.nil)) % 32.51/32.77 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t84)))) % 32.51/32.77 (assume @p64 (tptp.strictorderP tptp.nil)) % 32.51/32.77 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t84)))) % 32.51/32.77 (assume @p66 (tptp.totalorderedP tptp.nil)) % 32.51/32.77 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t88) (or @t86 (and @t87 (tptp.totalorderedP @t1) (tptp.leq @t2 @t85))))))))) % 32.51/32.77 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t84)))) % 32.51/32.77 (assume @p69 (tptp.strictorderedP tptp.nil)) % 32.51/32.77 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t88) (or @t86 (and @t87 (tptp.strictorderedP @t1) (tptp.lt @t2 @t85))))))))) % 32.51/32.77 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t84)))) % 32.51/32.77 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 32.51/32.77 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t84)))) % 32.51/32.77 (assume @p74 (tptp.equalelemsP tptp.nil)) % 32.51/32.77 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 32.51/32.77 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 32.51/32.77 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t87 @t51 (= @t85 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 32.51/32.77 (assume @p78 @t92) % 32.51/32.77 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t93)))))))) % 32.51/32.77 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t93)))))))) % 32.51/32.77 (assume @p81 @t97) % 32.51/32.77 (assume @p82 @t103) % 32.51/32.77 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t86 @t48))))))) % 32.51/32.77 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 32.51/32.77 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 32.51/32.77 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 32.51/32.77 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3)))))) % 32.51/32.77 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 32.51/32.77 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 32.51/32.77 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 32.51/32.77 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t35) @t80)))))))) % 32.51/32.77 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t79))))))) % 32.51/32.77 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 (and @t4 @t76))))))) % 32.51/32.77 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not (tptp.gt @t1 @t2)))))))) % 32.51/32.77 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 32.51/32.77 (assume @p96 @t164) % 32.51/32.77 (assume @p97 true) % 32.51/32.77 (step @p98 :rule aci_norm :args ((= (or @t166 (or @t165 @t50)) @t167))) % 32.51/32.77 (step @p99 :rule refl :args (@t50)) % 32.51/32.77 (step @p100 :rule bool-double-not-elim :args (@t165)) % 32.51/32.77 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t169 @t50))) % 32.51/32.77 (step @p102 :rule bool-impl-elim :args (@t168 @t50)) % 32.51/32.77 (step @p103 :rule trans :premises (@p102 @p101)) % 32.51/32.77 (step @p104 :rule refl :args (@t166)) % 32.51/32.77 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t166 @t170))) % 32.51/32.77 (step @p106 :rule trans :premises (@p105 @p98)) % 32.51/32.77 (step @p107 :rule bool-impl-elim :args (@t17 @t170)) % 32.51/32.77 (step @p108 :rule trans :premises (@p107 @p106)) % 32.51/32.77 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t170)))) % 32.51/32.77 (step @p110 :rule refl :args (@t50)) % 32.51/32.77 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 32.51/32.77 (step @p112 :rule cong :premises (@p111) :args (@t51)) % 32.51/32.77 (step @p113 :rule cong :premises (@p112 @p110) :args (@t52)) % 32.51/32.77 (step @p114 :rule refl :args (@t17)) % 32.51/32.77 (step @p115 :rule cong :premises (@p114 @p113) :args (@t53)) % 32.51/32.77 (step @p116 :rule cong :premises (@p115) :args (@t54)) % 32.51/32.77 (step @p117 :rule trans :premises (@p116 @p109)) % 32.51/32.77 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 32.51/32.77 (step @p119 :rule refl :args (@t194)) % 32.51/32.77 (step @p120 :rule eq-symm :args (@t192 tptp.nil)) % 32.51/32.77 (step @p121 :rule refl :args (@t196)) % 32.51/32.77 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t198)) % 32.51/32.77 (step @p123 :rule refl :args (@t199)) % 32.51/32.77 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t199 @t198))) % 32.51/32.77 (assume-push @p1050 @t199) % 32.51/32.77 (step @p126 :rule instantiate :premises (@p118) :args (@t200)) % 32.51/32.77 (step-pop @p1051 :rule scope :premises (@p126)) % 32.51/32.77 (step @p127 :rule process_scope :premises (@p1051) :args (@t198)) % 32.51/32.77 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 32.51/32.77 (step @p130 :rule implies_elim :premises (@p129)) % 32.51/32.77 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t202 @t203 (@list @t199))) % 32.51/32.77 (step @p132 :rule aci_norm :args ((= @t209 @t207))) % 32.51/32.77 (step @p133 :rule cong :premises (@p132) :args (@t211)) % 32.51/32.77 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t213) @t211))) % 32.51/32.77 (step @p135 :rule alpha_equiv :args (@t214 (@list @t204) @t215)) % 32.51/32.77 (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t216)) % 32.51/32.77 (step @p137 :rule quant-miniscope-or :args ((= @t213 @t216))) % 32.51/32.77 (step @p138 :rule trans :premises (@p137 @p136)) % 32.51/32.77 (step @p139 :rule symm :premises (@p138)) % 32.51/32.77 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t166 @t218)))) % 32.51/32.77 (step @p141 :rule trans :premises (@p140 @p134)) % 32.51/32.77 (step @p142 :rule trans :premises (@p141 @p133)) % 32.51/32.77 (step @p143 :rule bool-impl-elim :args (@t17 @t218)) % 32.51/32.77 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t218)))) % 32.51/32.77 (step @p145 :rule trans :premises (@p144 @p142)) % 32.51/32.77 (step @p146 :rule bool-impl-elim :args (@t21 @t5)) % 32.51/32.77 (step @p147 :rule cong :premises (@p146) :args (@t37)) % 32.51/32.77 (step @p148 :rule cong :premises (@p114 @p147) :args (@t38)) % 32.51/32.77 (step @p149 :rule cong :premises (@p148) :args (@t39)) % 32.51/32.77 (step @p150 :rule trans :premises (@p149 @p145)) % 32.51/32.77 (step @p151 :rule eq_resolve :premises (@p15 @p150)) % 32.51/32.77 (step @p152 :rule bool-eq-false :args (@t219)) % 32.51/32.77 (step @p153 :rule evaluate :args ((not true))) % 32.51/32.77 (step @p154 :rule eq-refl :args (tptp.nil)) % 32.51/32.77 (step @p155 :rule cong :premises (@p154) :args (@t220)) % 32.51/32.77 (step @p156 :rule trans :premises (@p155 @p153)) % 32.51/32.77 (step @p157 :rule refl :args (@t219)) % 32.51/32.77 (step @p158 :rule cong :premises (@p157 @p156) :args (@t221)) % 32.51/32.77 (step @p159 :rule trans :premises (@p158 @p152)) % 32.51/32.77 (step @p160 :rule refl :args (@t222)) % 32.51/32.77 (step @p161 :rule nary_cong :premises (@p160 @p160 @p159) :args (@t223)) % 32.51/32.77 (step @p162 :rule refl :args (@t224)) % 32.51/32.77 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t224 @t223))) % 32.51/32.77 (assume-push @p1052 @t224) % 32.51/32.77 (step @p165 :rule instantiate :premises (@p151) :args ((@list tptp.nil tptp.nil))) % 32.51/32.77 (step-pop @p1053 :rule scope :premises (@p165)) % 32.51/32.77 (step @p166 :rule process_scope :premises (@p1053) :args (@t223)) % 32.51/32.77 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 32.51/32.77 (step @p169 :rule implies_elim :premises (@p168)) % 32.51/32.77 (step @p170 :rule chain_m_resolution :premises (@p169 @p151) :args (@t226 @t203 (@list @t224))) % 32.51/32.77 (step @p171 :rule cnf_or_pos :args (@t226)) % 32.51/32.77 (step @p172 :rule factoring :premises (@p171)) % 32.51/32.77 (step @p173 :rule reordering :premises (@p172) :args ((or @t222 @t225 (not @t226)))) % 32.51/32.77 (step @p174 :rule chain_m_resolution :premises (@p173 @p17 @p170) :args (@t225 @t227 (@list @t45 @t226))) % 32.51/32.77 (step @p175 :rule eq-symm :args (@t171 @t173)) % 32.51/32.77 (step @p176 :rule cong :premises (@p175) :args (@t228)) % 32.51/32.77 (step @p177 :rule refl :args (@t174)) % 32.51/32.77 (step @p178 :rule refl :args (@t56)) % 32.51/32.77 (step @p179 :rule refl :args (@t175)) % 32.51/32.77 (step @p180 :rule refl :args (@t176)) % 32.51/32.77 (step @p181 :rule nary_cong :premises (@p180 @p110 @p179 @p178 @p177 @p176) :args (@t229)) % 32.51/32.77 (step @p182 :rule refl :args (@t177)) % 32.51/32.77 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t230)) % 32.51/32.77 (step @p184 :rule refl :args (@t178)) % 32.51/32.77 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t231)) % 32.51/32.77 (step @p186 :rule eq-symm :args (@t171 tptp.nil)) % 32.51/32.77 (step @p187 :rule refl :args (@t168)) % 32.51/32.77 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t232)) % 32.51/32.77 (step @p189 :rule refl :args (@t182)) % 32.51/32.77 (step @p190 :rule eq-symm :args (@t171 @t183)) % 32.51/32.77 (step @p191 :rule cong :premises (@p190) :args (@t233)) % 32.51/32.77 (step @p192 :rule refl :args (@t184)) % 32.51/32.77 (step @p193 :rule refl :args (@t185)) % 32.51/32.77 (step @p194 :rule refl :args (@t186)) % 32.51/32.77 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192 @p191 @p189) :args (@t234)) % 32.51/32.77 (step @p196 :rule cong :premises (@p195) :args (@t235)) % 32.51/32.77 (step @p197 :rule cong :premises (@p196) :args (@t236)) % 32.51/32.77 (step @p198 :rule refl :args (@t188)) % 32.51/32.77 (step @p199 :rule refl :args (@t189)) % 32.51/32.77 (step @p200 :rule refl :args (@t166)) % 32.51/32.77 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197 @p188 @p185) :args (@t237)) % 32.51/32.77 (step @p202 :rule aci_norm :args ((= @t239 @t237))) % 32.51/32.77 (step @p203 :rule trans :premises (@p202 @p201)) % 32.51/32.77 (step @p204 :rule cong :premises (@p203) :args (@t240)) % 32.51/32.77 (step @p205 :rule quant-merge-prenex :args ((= (forall @t9 @t242) @t240))) % 32.51/32.77 (step @p206 :rule alpha_equiv :args (@t243 (@list @t171) @t215)) % 32.51/32.77 (step @p207 :rule nary_cong :premises (@p104 @p206) :args (@t244)) % 32.51/32.77 (step @p208 :rule quant-miniscope-or :args ((= @t242 @t244))) % 32.51/32.77 (step @p209 :rule trans :premises (@p208 @p207)) % 32.51/32.77 (step @p210 :rule symm :premises (@p209)) % 32.51/32.77 (step @p211 :rule cong :premises (@p210) :args ((forall @t9 @t252))) % 32.51/32.77 (step @p212 :rule trans :premises (@p211 @p205)) % 32.51/32.77 (step @p213 :rule trans :premises (@p212 @p204)) % 32.51/32.77 (step @p214 :rule aci_norm :args ((= (or @t166 @t252) @t252))) % 32.51/32.77 (step @p215 :rule bool-impl-elim :args (@t17 @t252)) % 32.51/32.77 (step @p216 :rule trans :premises (@p215 @p214)) % 32.51/32.77 (step @p217 :rule cong :premises (@p216) :args ((forall @t9 (=> @t17 @t252)))) % 32.51/32.77 (step @p218 :rule trans :premises (@p217 @p213)) % 32.51/32.77 (step @p219 :rule quant-miniscope-or :args ((= (forall @t7 @t253) @t252))) % 32.51/32.77 (step @p220 :rule aci_norm :args ((= @t254 @t253))) % 32.51/32.77 (step @p221 :rule cong :premises (@p220) :args ((forall @t7 @t254))) % 32.51/32.77 (step @p222 :rule trans :premises (@p221 @p219)) % 32.51/32.77 (step @p223 :rule aci_norm :args ((= (or @t217 @t255) @t254))) % 32.51/32.77 (step @p224 :rule bool-impl-elim :args (@t21 @t255)) % 32.51/32.77 (step @p225 :rule trans :premises (@p224 @p223)) % 32.51/32.77 (step @p226 :rule cong :premises (@p225) :args ((forall @t7 (=> @t21 @t255)))) % 32.51/32.77 (step @p227 :rule trans :premises (@p226 @p222)) % 32.51/32.77 (step @p228 :rule aci_norm :args ((= (or @t152 @t250 @t217 @t256) @t255))) % 32.51/32.77 (step @p229 :rule aci_norm :args ((= (or @t166 false @t247 @t245) @t256))) % 32.51/32.77 (step @p230 :rule refl :args (@t245)) % 32.51/32.77 (step @p231 :rule refl :args (@t247)) % 32.51/32.77 (step @p232 :rule eq-refl :args (@t2)) % 32.51/32.77 (step @p233 :rule cong :premises (@p232) :args (@t257)) % 32.51/32.77 (step @p234 :rule trans :premises (@p233 @p153)) % 32.51/32.77 (step @p235 :rule nary_cong :premises (@p200 @p234 @p231 @p230) :args (@t258)) % 32.51/32.77 (step @p236 :rule trans :premises (@p235 @p229)) % 32.51/32.77 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t93) @t268 @t153 @t267 @t265)) @t258))) % 32.51/32.77 (step @p238 :rule refl :args (@t265)) % 32.51/32.77 (step @p239 :rule refl :args (@t267)) % 32.51/32.77 (step @p240 :rule refl :args (@t153)) % 32.51/32.77 (step @p241 :rule refl :args (@t268)) % 32.51/32.77 (step @p242 :rule eq-symm :args (@t2 @t12)) % 32.51/32.77 (step @p243 :rule cong :premises (@p242) :args (@t153)) % 32.51/32.77 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240 @p239 @p238) :args (@t269)) % 32.51/32.77 (step @p245 :rule aci_norm :args ((= @t270 @t269))) % 32.51/32.77 (step @p246 :rule trans :premises (@p245 @p244)) % 32.51/32.77 (step @p247 :rule cong :premises (@p246) :args (@t271)) % 32.51/32.77 (step @p248 :rule trans :premises (@p247 @p237)) % 32.51/32.77 (step @p249 :rule trans :premises (@p248 @p236)) % 32.51/32.77 (step @p250 :rule refl :args (@t217)) % 32.51/32.77 (step @p251 :rule refl :args (@t250)) % 32.51/32.77 (step @p252 :rule refl :args (@t152)) % 32.51/32.77 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249) :args (@t272)) % 32.51/32.77 (step @p254 :rule trans :premises (@p253 @p228)) % 32.51/32.77 (step @p255 :rule quant-miniscope-or :args ((= (forall @t16 @t273) @t272))) % 32.51/32.77 (step @p256 :rule aci_norm :args ((= @t274 @t273))) % 32.51/32.77 (step @p257 :rule cong :premises (@p256) :args ((forall @t16 @t274))) % 32.51/32.77 (step @p258 :rule trans :premises (@p257 @p255)) % 32.51/32.77 (step @p259 :rule trans :premises (@p258 @p254)) % 32.51/32.77 (step @p260 :rule aci_norm :args ((= (or @t268 @t275) @t274))) % 32.51/32.77 (step @p261 :rule bool-impl-elim :args (@t15 @t275)) % 32.51/32.77 (step @p262 :rule trans :premises (@p261 @p260)) % 32.51/32.77 (step @p263 :rule cong :premises (@p262) :args ((forall @t16 (=> @t15 @t275)))) % 32.51/32.77 (step @p264 :rule trans :premises (@p263 @p259)) % 32.51/32.77 (step @p265 :rule aci_norm :args ((= (or @t153 @t152 @t250 @t276) @t275))) % 32.51/32.77 (step @p266 :rule aci_norm :args ((= (or @t217 false @t267 @t265) @t276))) % 32.51/32.77 (step @p267 :rule refl :args (@t265)) % 32.51/32.77 (step @p268 :rule refl :args (@t267)) % 32.51/32.77 (step @p269 :rule eq-refl :args (@t1)) % 32.51/32.77 (step @p270 :rule cong :premises (@p269) :args (@t277)) % 32.51/32.77 (step @p271 :rule trans :premises (@p270 @p153)) % 32.51/32.77 (step @p272 :rule nary_cong :premises (@p250 @p271 @p268 @p267) :args (@t278)) % 32.51/32.77 (step @p273 :rule trans :premises (@p272 @p266)) % 32.51/32.77 (step @p274 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t283 @t154 @t282 @t281)) @t278))) % 32.51/32.77 (step @p275 :rule refl :args (@t281)) % 32.51/32.77 (step @p276 :rule refl :args (@t282)) % 32.51/32.77 (step @p277 :rule refl :args (@t154)) % 32.51/32.77 (step @p278 :rule refl :args (@t283)) % 32.51/32.77 (step @p279 :rule eq-symm :args (@t1 @t10)) % 32.51/32.77 (step @p280 :rule cong :premises (@p279) :args 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@t561 (@list @t423 @t563 @t558 @t516))) % 32.51/32.77 (step @p966 :rule aci_norm :args ((= @t587 (or @t166 @t585 @t584)))) % 32.51/32.77 (step @p967 :rule cong :premises (@p966) :args (@t588)) % 32.51/32.77 (step @p968 :rule quant-merge-prenex :args ((= (forall @t9 @t590) @t588))) % 32.51/32.77 (step @p969 :rule alpha_equiv :args (@t591 (@list @t583) @t215)) % 32.51/32.77 (step @p970 :rule nary_cong :premises (@p104 @p969) :args (@t592)) % 32.51/32.77 (step @p971 :rule quant-miniscope-or :args ((= @t590 @t592))) % 32.51/32.77 (step @p972 :rule trans :premises (@p971 @p970)) % 32.51/32.77 (step @p973 :rule symm :premises (@p972)) % 32.51/32.77 (step @p974 :rule cong :premises (@p973) :args ((forall @t9 (or @t166 @t593)))) % 32.51/32.77 (step @p975 :rule trans :premises (@p974 @p968)) % 32.51/32.77 (step @p976 :rule trans :premises (@p975 @p967)) % 32.51/32.77 (step @p977 :rule bool-impl-elim :args (@t17 @t593)) % 32.51/32.77 (step @p978 :rule cong :premises (@p977) :args ((forall @t9 (=> @t17 @t593)))) % 32.51/32.77 (step @p979 :rule trans :premises (@p978 @p976)) % 32.51/32.77 (step @p980 :rule bool-impl-elim :args (@t6 @t94)) % 32.51/32.77 (step @p981 :rule cong :premises (@p980) :args (@t95)) % 32.51/32.77 (step @p982 :rule cong :premises (@p114 @p981) :args (@t96)) % 32.51/32.77 (step @p983 :rule cong :premises (@p982) :args (@t97)) % 32.51/32.77 (step @p984 :rule trans :premises (@p983 @p979)) % 32.51/32.77 (step @p985 :rule eq_resolve :premises (@p81 @p984)) % 32.51/32.77 (step @p986 :rule instantiate :premises (@p985) :args ((@list @t420 @t193))) % 32.51/32.77 (step @p987 :rule cnf_or_pos :args (@t597)) % 32.51/32.77 (step @p988 :rule reordering :premises (@p987) :args ((or @t475 @t474 @t596 (not @t597)))) % 32.51/32.77 (step @p989 :rule chain_m_resolution :premises (@p988 @p706 @p734 @p986) :args (@t596 @t518 (@list @t194 @t426 @t597))) % 32.51/32.77 (step @p990 :rule aci_norm :args ((= (or @t166 (or @t165 @t598)) @t599))) % 32.51/32.77 (step @p991 :rule refl :args (@t598)) % 32.51/32.77 (step @p992 :rule nary_cong :premises (@p100 @p991) :args ((or @t169 @t598))) % 32.51/32.77 (step @p993 :rule bool-impl-elim :args (@t168 @t598)) % 32.51/32.77 (step @p994 :rule trans :premises (@p993 @p992)) % 32.51/32.77 (step @p995 :rule nary_cong :premises (@p104 @p994) :args ((or @t166 @t600))) % 32.51/32.77 (step @p996 :rule trans :premises (@p995 @p990)) % 32.51/32.77 (step @p997 :rule bool-impl-elim :args (@t17 @t600)) % 32.51/32.77 (step @p998 :rule trans :premises (@p997 @p996)) % 32.51/32.77 (step @p999 :rule cong :premises (@p998) :args ((forall @t9 (=> @t17 @t600)))) % 32.51/32.77 (step @p1000 :rule eq-symm :args (@t89 @t2)) % 32.51/32.77 (step @p1001 :rule cong :premises (@p112 @p1000) :args (@t90)) % 32.51/32.77 (step @p1002 :rule cong :premises (@p114 @p1001) :args (@t91)) % 32.51/32.77 (step @p1003 :rule cong :premises (@p1002) :args (@t92)) % 32.51/32.77 (step @p1004 :rule trans :premises (@p1003 @p999)) % 32.51/32.77 (step @p1005 :rule eq_resolve :premises (@p78 @p1004)) % 32.51/32.77 (step @p1006 :rule refl :args (@t601)) % 32.51/32.77 (step @p1007 :rule nary_cong :premises (@p121 @p120 @p1006) :args (@t602)) % 32.51/32.77 (step @p1008 :rule refl :args (@t603)) % 32.51/32.77 (step @p1009 :rule cong :premises (@p1008 @p1007) :args ((=> @t603 @t602))) % 32.51/32.77 (assume-push @p1090 @t603) % 32.51/32.77 (step @p1011 :rule instantiate :premises (@p1005) :args (@t200)) % 32.51/32.77 (step-pop @p1091 :rule scope :premises (@p1011)) % 32.51/32.77 (step @p1012 :rule process_scope :premises (@p1091) :args (@t602)) % 32.51/32.77 (step @p1014 :rule eq_resolve :premises (@p1012 @p1009)) % 32.51/32.77 (step @p1015 :rule implies_elim :premises (@p1014)) % 32.51/32.77 (step @p1016 :rule chain_m_resolution :premises (@p1015 @p1005) :args (@t604 @t203 (@list @t603))) % 32.51/32.77 (step @p1017 :rule cnf_or_pos :args (@t604)) % 32.51/32.77 (step @p1018 :rule reordering :premises (@p1017) :args ((or @t196 @t201 @t601 (not @t604)))) % 32.51/32.77 (step @p1019 :rule chain_m_resolution :premises (@p1018 @p703 @p697 @p1016) :args (@t601 @t463 (@list @t195 @t201 @t604))) % 32.51/32.77 (step @p1020 :rule instantiate :premises (@p881) :args ((@list @t419))) % 32.51/32.77 (step @p1021 :rule cnf_or_pos :args (@t606)) % 32.51/32.77 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t559 @t605 (not @t606)))) % 32.51/32.77 (step @p1023 :rule chain_m_resolution :premises (@p1022 @p871 @p1020) :args (@t605 @t227 (@list @t427 @t606))) % 32.51/32.77 (assume-push @p1092 @t605) % 32.51/32.77 (assume-push @p1093 @t601) % 32.51/32.77 (assume-push @p1094 @t596) % 32.51/32.77 (assume-push @p1095 @t605) % 32.51/32.77 (assume-push @p1096 @t596) % 32.51/32.77 (assume-push @p1097 @t601) % 32.51/32.77 (step @p946 :rule refl :args (@t420)) % 32.51/32.77 (step @p1030 :rule cong :premises (@p1092 @p946) :args (@t594)) % 32.51/32.77 (step @p1031 :rule trans :premises (@p1093 @p1094 @p1030)) % 32.51/32.77 (step-pop @p1098 :rule scope :premises (@p1031)) % 32.51/32.77 (step-pop @p1099 :rule scope :premises (@p1098)) % 32.51/32.77 (step-pop @p1100 :rule scope :premises (@p1099)) % 32.51/32.77 (step @p1032 :rule process_scope :premises (@p1100) :args (@t477)) % 32.51/32.77 (step @p1036 :rule and_intro :premises (@p1092 @p1094 @p1093)) % 32.51/32.77 (step @p1037 :rule modus_ponens :premises (@p1036 @p1032)) % 32.51/32.77 (step-pop @p1101 :rule scope :premises (@p1037)) % 32.51/32.77 (step-pop @p1102 :rule scope :premises (@p1101)) % 32.51/32.77 (step-pop @p1103 :rule scope :premises (@p1102)) % 32.51/32.77 (step @p1038 :rule process_scope :premises (@p1103) :args (@t477)) % 32.51/32.77 (step @p1042 :rule implies_elim :premises (@p1038)) % 32.51/32.77 (step @p1043 :rule cnf_and_neg :args (@t607)) % 32.51/32.77 (step @p1044 :rule resolution :premises (@p1043 @p1042) :args (true @t607)) % 32.51/32.77 (step @p1045 :rule reordering :premises (@p1044) :args ((or (not @t605) (not @t601) @t477 (not @t596)))) % 32.51/32.77 (step @p1046 :rule chain_m_resolution :premises (@p1045 @p1023 @p1019 @p989) :args (@t477 @t518 (@list @t605 @t601 @t596))) % 32.51/32.77 (step @p1047 :rule cnf_or_pos :args (@t481)) % 32.51/32.77 (step @p1048 :rule reordering :premises (@p1047) :args ((or @t222 @t475 @t474 @t480 @t478 (not @t481)))) % 32.51/32.77 (step @p1049 false :rule chain_m_resolution :premises (@p1048 @p1046 @p965 @p756 @p734 @p706 @p17) :args (false (@list false false false false false false) (@list @t477 @t479 @t481 @t426 @t194 @t45))) % 32.51/32.77 ) % 32.51/32.77 % SZS output end Proof % 32.51/32.77 % cvc5 exiting %------------------------------------------------------------------------------