%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC410+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 : n023.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 08:59:13 AM UTC 2026 % Result : Theorem 28.39s 28.77s % Output : Proof 28.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC410+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n023.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 19:47:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 28.39/28.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.39/28.77 --- Run --no-e-matching --full-saturate-quant at 6... % 28.39/28.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.39/28.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.39/28.77 % SZS status Theorem % 28.39/28.77 % SZS output start Proof % 28.39/28.77 ( % 28.39/28.77 (declare-sort $$unsorted 0) % 28.39/28.77 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 28.39/28.77 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 28.39/28.77 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 28.39/28.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 28.39/28.77 (declare-const tptp.nil $$unsorted) % 28.39/28.77 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.ssList (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 28.39/28.77 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 28.39/28.77 (define @t1 () (@var "V" $$unsorted)) % 28.39/28.77 (define @t2 () (@var "U" $$unsorted)) % 28.39/28.77 (define @t3 () (= @t2 @t1)) % 28.39/28.77 (define @t4 () (not @t3)) % 28.39/28.77 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 28.39/28.77 (define @t6 () (tptp.ssItem @t1)) % 28.39/28.77 (define @t7 () (@list @t1)) % 28.39/28.77 (define @t8 () (tptp.ssItem @t2)) % 28.39/28.77 (define @t9 () (@list @t2)) % 28.39/28.77 (define @t10 () (@var "X" $$unsorted)) % 28.39/28.77 (define @t11 () (tptp.cons @t1 @t10)) % 28.39/28.77 (define @t12 () (@var "W" $$unsorted)) % 28.39/28.77 (define @t13 () (tptp.ssList @t10)) % 28.39/28.77 (define @t14 () (@list @t10)) % 28.39/28.77 (define @t15 () (tptp.ssList @t12)) % 28.39/28.77 (define @t16 () (@list @t12)) % 28.39/28.77 (define @t17 () (tptp.ssList @t2)) % 28.39/28.77 (define @t18 () (tptp.cons @t1 tptp.nil)) % 28.39/28.77 (define @t19 () (tptp.app @t1 @t12)) % 28.39/28.77 (define @t20 () (tptp.frontsegP @t2 @t1)) % 28.39/28.77 (define @t21 () (tptp.ssList @t1)) % 28.39/28.77 (define @t22 () (tptp.app @t12 @t1)) % 28.39/28.77 (define @t23 () (tptp.rearsegP @t2 @t1)) % 28.39/28.77 (define @t24 () (tptp.segmentP @t2 @t1)) % 28.39/28.77 (define @t25 () (tptp.leq @t12 @t1)) % 28.39/28.77 (define @t26 () (tptp.leq @t1 @t12)) % 28.39/28.77 (define @t27 () (@var "Z" $$unsorted)) % 28.39/28.77 (define @t28 () (@var "Y" $$unsorted)) % 28.39/28.77 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 28.39/28.77 (define @t30 () (tptp.ssList @t27)) % 28.39/28.77 (define @t31 () (@list @t27)) % 28.39/28.77 (define @t32 () (tptp.ssList @t28)) % 28.39/28.77 (define @t33 () (@list @t28)) % 28.39/28.77 (define @t34 () (tptp.ssItem @t12)) % 28.39/28.77 (define @t35 () (tptp.lt @t1 @t12)) % 28.39/28.77 (define @t36 () (= @t1 @t12)) % 28.39/28.77 (define @t37 () (forall @t7 (=> @t21 @t5))) % 28.39/28.77 (define @t38 () (=> @t17 @t37)) % 28.39/28.77 (define @t39 () (forall @t9 @t38)) % 28.39/28.77 (define @t40 () (tptp.cons @t1 @t2)) % 28.39/28.77 (define @t41 () (tptp.ssList @t40)) % 28.39/28.77 (define @t42 () (forall @t7 (=> @t6 @t41))) % 28.39/28.77 (define @t43 () (=> @t17 @t42)) % 28.39/28.77 (define @t44 () (forall @t9 @t43)) % 28.39/28.77 (define @t45 () (tptp.ssList tptp.nil)) % 28.39/28.77 (define @t46 () (= @t1 @t2)) % 28.39/28.77 (define @t47 () (tptp.cons @t12 @t1)) % 28.39/28.77 (define @t48 () (= tptp.nil @t2)) % 28.39/28.77 (define @t49 () (tptp.hd @t2)) % 28.39/28.77 (define @t50 () (tptp.ssItem @t49)) % 28.39/28.77 (define @t51 () (not @t48)) % 28.39/28.77 (define @t52 () (=> @t51 @t50)) % 28.39/28.77 (define @t53 () (=> @t17 @t52)) % 28.39/28.77 (define @t54 () (forall @t9 @t53)) % 28.39/28.77 (define @t55 () (tptp.tl @t2)) % 28.39/28.77 (define @t56 () (tptp.ssList @t55)) % 28.39/28.77 (define @t57 () (=> @t51 @t56)) % 28.39/28.77 (define @t58 () (=> @t17 @t57)) % 28.39/28.77 (define @t59 () (forall @t9 @t58)) % 28.39/28.77 (define @t60 () (tptp.app @t2 @t1)) % 28.39/28.77 (define @t61 () (tptp.ssList @t60)) % 28.39/28.77 (define @t62 () (forall @t7 (=> @t21 @t61))) % 28.39/28.77 (define @t63 () (=> @t17 @t62)) % 28.39/28.77 (define @t64 () (forall @t9 @t63)) % 28.39/28.77 (define @t65 () (tptp.app @t1 @t2)) % 28.39/28.77 (define @t66 () (tptp.leq @t1 @t2)) % 28.39/28.77 (define @t67 () (tptp.leq @t2 @t1)) % 28.39/28.77 (define @t68 () (tptp.geq @t2 @t1)) % 28.39/28.77 (define @t69 () (tptp.lt @t1 @t2)) % 28.39/28.77 (define @t70 () (tptp.lt @t2 @t1)) % 28.39/28.77 (define @t71 () (tptp.lt @t2 @t12)) % 28.39/28.77 (define @t72 () (tptp.gt @t2 @t1)) % 28.39/28.77 (define @t73 () (tptp.memberP @t12 @t2)) % 28.39/28.77 (define @t74 () (tptp.memberP @t1 @t2)) % 28.39/28.77 (define @t75 () (= (tptp.memberP @t19 @t2) (or @t74 @t73))) % 28.39/28.77 (define @t76 () (forall @t16 (=> @t15 @t75))) % 28.39/28.77 (define @t77 () (=> @t21 @t76)) % 28.39/28.77 (define @t78 () (forall @t7 @t77)) % 28.39/28.77 (define @t79 () (=> @t8 @t78)) % 28.39/28.77 (define @t80 () (forall @t9 @t79)) % 28.39/28.77 (define @t81 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73))) % 28.39/28.77 (define @t82 () (forall @t16 (=> @t15 @t81))) % 28.39/28.77 (define @t83 () (=> @t6 @t82)) % 28.39/28.77 (define @t84 () (forall @t7 @t83)) % 28.39/28.77 (define @t85 () (=> @t8 @t84)) % 28.39/28.77 (define @t86 () (forall @t9 @t85)) % 28.39/28.77 (define @t87 () (not (tptp.memberP tptp.nil @t2))) % 28.39/28.77 (define @t88 () (forall @t9 (=> @t8 @t87))) % 28.39/28.77 (define @t89 () (tptp.app @t12 @t2)) % 28.39/28.77 (define @t90 () (tptp.cons @t2 tptp.nil)) % 28.39/28.77 (define @t91 () (tptp.hd @t1)) % 28.39/28.77 (define @t92 () (= tptp.nil @t1)) % 28.39/28.77 (define @t93 () (not @t92)) % 28.39/28.77 (define @t94 () (tptp.cons @t2 @t1)) % 28.39/28.77 (define @t95 () (tptp.cons @t49 @t55)) % 28.39/28.77 (define @t96 () (=> @t51 (= @t95 @t2))) % 28.39/28.77 (define @t97 () (=> @t17 @t96)) % 28.39/28.77 (define @t98 () (forall @t9 @t97)) % 28.39/28.77 (define @t99 () (= @t12 @t2)) % 28.39/28.77 (define @t100 () (tptp.neq tptp.nil @t12)) % 28.39/28.77 (define @t101 () (@var "X3" $$unsorted)) % 28.39/28.77 (define @t102 () (tptp.hd @t12)) % 28.39/28.77 (define @t103 () (@var "X2" $$unsorted)) % 28.39/28.77 (define @t104 () (tptp.cons @t101 tptp.nil)) % 28.39/28.77 (define @t105 () (tptp.ssItem @t101)) % 28.39/28.77 (define @t106 () (and @t105 (= @t104 @t103) (= @t102 @t101) @t100)) % 28.39/28.77 (define @t107 () (@list @t101)) % 28.39/28.77 (define @t108 () (exists @t107 @t106)) % 28.39/28.77 (define @t109 () (@var "X1" $$unsorted)) % 28.39/28.77 (define @t110 () (tptp.app @t109 @t103)) % 28.39/28.77 (define @t111 () (tptp.tl @t12)) % 28.39/28.77 (define @t112 () (tptp.ssList @t103)) % 28.39/28.77 (define @t113 () (and @t112 (= @t111 @t109) (= @t110 @t27) @t108 @t100)) % 28.39/28.77 (define @t114 () (@list @t103)) % 28.39/28.77 (define @t115 () (exists @t114 @t113)) % 28.39/28.77 (define @t116 () (tptp.ssList @t109)) % 28.39/28.77 (define @t117 () (and @t116 @t115)) % 28.39/28.77 (define @t118 () (@list @t109)) % 28.39/28.77 (define @t119 () (exists @t118 @t117)) % 28.39/28.77 (define @t120 () (= @t10 @t27)) % 28.39/28.77 (define @t121 () (not @t120)) % 28.39/28.77 (define @t122 () (and @t30 @t121 @t119)) % 28.39/28.77 (define @t123 () (exists @t31 @t122)) % 28.39/28.77 (define @t124 () (not (tptp.neq @t12 tptp.nil))) % 28.39/28.77 (define @t125 () (or @t124 @t123)) % 28.39/28.77 (define @t126 () (tptp.neq @t10 tptp.nil)) % 28.39/28.77 (define @t127 () (and @t126 @t125)) % 28.39/28.77 (define @t128 () (not (= tptp.nil @t12))) % 28.39/28.77 (define @t129 () (and @t128 (= tptp.nil @t10))) % 28.39/28.77 (define @t130 () (tptp.memberP @t2 @t28)) % 28.39/28.77 (define @t131 () (not (tptp.memberP @t1 @t28))) % 28.39/28.77 (define @t132 () (or @t131 @t130)) % 28.39/28.77 (define @t133 () (tptp.ssItem @t28)) % 28.39/28.77 (define @t134 () (forall @t33 (=> @t133 @t132))) % 28.39/28.77 (define @t135 () (not (= @t2 @t12))) % 28.39/28.77 (define @t136 () (not (= @t1 @t10))) % 28.39/28.77 (define @t137 () (or @t136 @t135 @t134 @t129 @t127)) % 28.39/28.77 (define @t138 () (=> @t13 @t137)) % 28.39/28.77 (define @t139 () (forall @t14 @t138)) % 28.39/28.77 (define @t140 () (=> @t15 @t139)) % 28.39/28.77 (define @t141 () (forall @t16 @t140)) % 28.39/28.77 (define @t142 () (=> @t21 @t141)) % 28.39/28.77 (define @t143 () (forall @t7 @t142)) % 28.39/28.77 (define @t144 () (=> @t17 @t143)) % 28.39/28.77 (define @t145 () (forall @t9 @t144)) % 28.39/28.77 (define @t146 () (not @t145)) % 28.39/28.77 (define @t147 () (@var "BOUND_VARIABLE_11143" $$unsorted)) % 28.39/28.77 (define @t148 () (tptp.memberP @t2 @t147)) % 28.39/28.77 (define @t149 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 28.39/28.77 (define @t150 () (not (tptp.memberP @t149 @t147))) % 28.39/28.77 (define @t151 () (not (tptp.ssItem @t147))) % 28.39/28.77 (define @t152 () (tptp.cons @t49 tptp.nil)) % 28.39/28.77 (define @t153 () (tptp.app @t55 @t152)) % 28.39/28.77 (define @t154 () (not (= @t149 @t153))) % 28.39/28.77 (define @t155 () (tptp.ssList @t153)) % 28.39/28.77 (define @t156 () (tptp.ssList @t152)) % 28.39/28.77 (define @t157 () (tptp.neq tptp.nil @t2)) % 28.39/28.77 (define @t158 () (and @t157 @t50 @t156 @t56 @t155 @t154)) % 28.39/28.77 (define @t159 () (not (tptp.neq @t2 tptp.nil))) % 28.39/28.77 (define @t160 () (or @t159 @t158)) % 28.39/28.77 (define @t161 () (tptp.neq @t149 tptp.nil)) % 28.39/28.77 (define @t162 () (and @t161 @t160)) % 28.39/28.77 (define @t163 () (= @t2 tptp.nil)) % 28.39/28.77 (define @t164 () (not @t163)) % 28.39/28.77 (define @t165 () (and @t164 (= @t149 tptp.nil))) % 28.39/28.77 (define @t166 () (not (tptp.ssList @t149))) % 28.39/28.77 (define @t167 () (not @t17)) % 28.39/28.77 (define @t168 () (or @t167 @t166 @t165 @t162 @t151 @t150 @t148)) % 28.39/28.77 (define @t169 () (or @t166 @t165 @t162 @t151 @t150 @t148)) % 28.39/28.77 (define @t170 () (or @t167 @t169)) % 28.39/28.77 (define @t171 () (@list @t2 @t149 @t147)) % 28.39/28.77 (define @t172 () (forall @t171 @t170)) % 28.39/28.77 (define @t173 () (@list @t149 @t147)) % 28.39/28.77 (define @t174 () (forall @t173 @t170)) % 28.39/28.77 (define @t175 () (forall @t173 @t169)) % 28.39/28.77 (define @t176 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 28.39/28.77 (define @t177 () (or @t167 @t175)) % 28.39/28.77 (define @t178 () (tptp.memberP @t2 @t176)) % 28.39/28.77 (define @t179 () (not (tptp.memberP @t1 @t176))) % 28.39/28.77 (define @t180 () (not (tptp.ssItem @t176))) % 28.39/28.77 (define @t181 () (tptp.neq @t1 tptp.nil)) % 28.39/28.77 (define @t182 () (and @t181 (or @t159 (and @t157 @t50 @t156 @t56 @t155 (not (= @t1 @t153)))))) % 28.39/28.77 (define @t183 () (= @t1 tptp.nil)) % 28.39/28.77 (define @t184 () (and @t164 @t183)) % 28.39/28.77 (define @t185 () (not @t21)) % 28.39/28.77 (define @t186 () (or @t185 @t184 @t182 @t180 @t179 @t178)) % 28.39/28.77 (define @t187 () (@list @t1 @t176)) % 28.39/28.77 (define @t188 () (or @t167 (forall @t187 @t186))) % 28.39/28.77 (define @t189 () (or @t180 @t179 @t178)) % 28.39/28.77 (define @t190 () (or @t185 @t189 @t184 @t182)) % 28.39/28.77 (define @t191 () (forall @t187 @t190)) % 28.39/28.77 (define @t192 () (@list @t176)) % 28.39/28.77 (define @t193 () (forall @t192 @t190)) % 28.39/28.77 (define @t194 () (forall @t192 @t189)) % 28.39/28.77 (define @t195 () (or @t185 @t194 @t184 @t182)) % 28.39/28.77 (define @t196 () (not @t133)) % 28.39/28.77 (define @t197 () (or @t196 @t131 @t130)) % 28.39/28.77 (define @t198 () (forall @t33 @t197)) % 28.39/28.77 (define @t199 () (or @t185 @t198 @t184 @t182)) % 28.39/28.77 (define @t200 () (forall @t7 @t199)) % 28.39/28.77 (define @t201 () (or @t167 @t200)) % 28.39/28.77 (define @t202 () (or @t167 @t199)) % 28.39/28.77 (define @t203 () (or @t185 @t198 @t167 @t184 @t182)) % 28.39/28.77 (define @t204 () (or @t198 @t185 @t167 @t184 @t182)) % 28.39/28.77 (define @t205 () (or @t167 @t184 @t182)) % 28.39/28.77 (define @t206 () (not (= @t2 @t2))) % 28.39/28.77 (define @t207 () (or @t167 @t206 @t184 @t182)) % 28.39/28.77 (define @t208 () (tptp.cons @t102 tptp.nil)) % 28.39/28.77 (define @t209 () (tptp.app @t111 @t208)) % 28.39/28.77 (define @t210 () (tptp.ssList @t209)) % 28.39/28.77 (define @t211 () (tptp.ssList @t111)) % 28.39/28.77 (define @t212 () (tptp.ssList @t208)) % 28.39/28.77 (define @t213 () (tptp.ssItem @t102)) % 28.39/28.77 (define @t214 () (and @t181 (or @t124 (and @t100 @t213 @t212 @t211 @t210 (not (= @t1 @t209)))))) % 28.39/28.77 (define @t215 () (not (= @t12 tptp.nil))) % 28.39/28.77 (define @t216 () (and @t215 @t183)) % 28.39/28.77 (define @t217 () (not @t15)) % 28.39/28.77 (define @t218 () (or @t135 @t217 @t135 @t216 @t214)) % 28.39/28.77 (define @t219 () (or @t217 @t135 @t216 @t214)) % 28.39/28.77 (define @t220 () (forall @t16 @t219)) % 28.39/28.77 (define @t221 () (or @t198 @t185 @t220)) % 28.39/28.77 (define @t222 () (or @t198 @t185 @t219)) % 28.39/28.77 (define @t223 () (or @t217 @t135 @t198 @t185 @t216 @t214)) % 28.39/28.77 (define @t224 () (or @t135 @t198 @t185 @t216 @t214)) % 28.39/28.77 (define @t225 () (or @t185 @t216 @t214)) % 28.39/28.77 (define @t226 () (not (= @t1 @t1))) % 28.39/28.77 (define @t227 () (or @t185 @t226 @t216 @t214)) % 28.39/28.77 (define @t228 () (= @t10 @t209)) % 28.39/28.77 (define @t229 () (not @t228)) % 28.39/28.77 (define @t230 () (and @t126 (or @t124 (and @t100 @t213 @t212 @t211 @t210 @t229)))) % 28.39/28.77 (define @t231 () (and @t215 (= @t10 tptp.nil))) % 28.39/28.77 (define @t232 () (not @t13)) % 28.39/28.77 (define @t233 () (or @t136 @t232 @t136 @t231 @t230)) % 28.39/28.77 (define @t234 () (or @t232 @t136 @t231 @t230)) % 28.39/28.77 (define @t235 () (forall @t14 @t234)) % 28.39/28.77 (define @t236 () (or @t135 @t198 @t235)) % 28.39/28.77 (define @t237 () (or @t135 @t198 @t234)) % 28.39/28.77 (define @t238 () (or @t232 @t136 @t135 @t198 @t231 @t230)) % 28.39/28.77 (define @t239 () (not @t210)) % 28.39/28.77 (define @t240 () (not @t239)) % 28.39/28.77 (define @t241 () (not @t211)) % 28.39/28.77 (define @t242 () (not @t241)) % 28.39/28.77 (define @t243 () (not @t212)) % 28.39/28.77 (define @t244 () (not @t243)) % 28.39/28.77 (define @t245 () (not @t213)) % 28.39/28.77 (define @t246 () (not @t245)) % 28.39/28.77 (define @t247 () (not @t100)) % 28.39/28.77 (define @t248 () (not @t247)) % 28.39/28.77 (define @t249 () (and @t248 @t246 @t244 @t242 @t240 @t229)) % 28.39/28.77 (define @t250 () (or @t239 @t228)) % 28.39/28.77 (define @t251 () (or @t247 @t245 @t243 @t241 @t239 @t228)) % 28.39/28.77 (define @t252 () (or @t124 (not @t251))) % 28.39/28.77 (define @t253 () (and @t126 @t252)) % 28.39/28.77 (define @t254 () (or @t136 @t135 @t198 @t231 @t253)) % 28.39/28.77 (define @t255 () (not (= @t209 @t209))) % 28.39/28.77 (define @t256 () (or @t239 @t228 @t255)) % 28.39/28.77 (define @t257 () (not (= @t27 @t209))) % 28.39/28.77 (define @t258 () (not @t30)) % 28.39/28.77 (define @t259 () (or @t257 @t258 @t120 @t257)) % 28.39/28.77 (define @t260 () (or @t258 @t120 @t257)) % 28.39/28.77 (define @t261 () (forall @t31 @t260)) % 28.39/28.77 (define @t262 () (or @t247 @t245 @t243 @t241 @t261)) % 28.39/28.77 (define @t263 () (or @t247 @t245 @t243 @t241 @t260)) % 28.39/28.77 (define @t264 () (or @t258 @t120 @t247 @t245 @t243 @t241 @t257)) % 28.39/28.77 (define @t265 () (or @t247 @t245 @t243 @t241 @t257)) % 28.39/28.77 (define @t266 () (not @t265)) % 28.39/28.77 (define @t267 () (not @t266)) % 28.39/28.77 (define @t268 () (not @t121)) % 28.39/28.77 (define @t269 () (or @t258 @t268 @t267)) % 28.39/28.77 (define @t270 () (and @t30 @t121 @t266)) % 28.39/28.77 (define @t271 () (forall @t31 (not @t270))) % 28.39/28.77 (define @t272 () (not @t271)) % 28.39/28.77 (define @t273 () (or @t241 @t257)) % 28.39/28.77 (define @t274 () (not (= @t111 @t111))) % 28.39/28.77 (define @t275 () (or @t241 @t274 @t257)) % 28.39/28.77 (define @t276 () (not (= @t27 (tptp.app @t109 @t208)))) % 28.39/28.77 (define @t277 () (= @t109 @t111)) % 28.39/28.77 (define @t278 () (not @t277)) % 28.39/28.77 (define @t279 () (not @t116)) % 28.39/28.77 (define @t280 () (or @t278 @t279 @t278 @t276)) % 28.39/28.77 (define @t281 () (or @t279 @t278 @t276)) % 28.39/28.77 (define @t282 () (forall @t118 @t281)) % 28.39/28.77 (define @t283 () (or @t247 @t245 @t243 @t282)) % 28.39/28.77 (define @t284 () (or @t247 @t245 @t243 @t281)) % 28.39/28.77 (define @t285 () (or @t279 @t278 @t247 @t245 @t243 @t276)) % 28.39/28.77 (define @t286 () (or @t278 @t247 @t245 @t243 @t276)) % 28.39/28.77 (define @t287 () (not @t286)) % 28.39/28.77 (define @t288 () (and @t116 @t287)) % 28.39/28.77 (define @t289 () (forall @t118 (not @t288))) % 28.39/28.77 (define @t290 () (not @t289)) % 28.39/28.77 (define @t291 () (or @t243 @t276)) % 28.39/28.77 (define @t292 () (not (= @t208 @t208))) % 28.39/28.77 (define @t293 () (or @t243 @t276 @t292)) % 28.39/28.77 (define @t294 () (not (= @t103 @t208))) % 28.39/28.77 (define @t295 () (= @t27 @t110)) % 28.39/28.77 (define @t296 () (not @t295)) % 28.39/28.77 (define @t297 () (not @t112)) % 28.39/28.77 (define @t298 () (or @t294 @t297 @t296 @t294)) % 28.39/28.77 (define @t299 () (or @t297 @t296 @t294)) % 28.39/28.77 (define @t300 () (forall @t114 @t299)) % 28.39/28.77 (define @t301 () (or @t278 @t247 @t245 @t300)) % 28.39/28.77 (define @t302 () (or @t278 @t247 @t245 @t299)) % 28.39/28.77 (define @t303 () (or @t297 @t278 @t296 @t247 @t245 @t294)) % 28.39/28.77 (define @t304 () (or @t247 @t245 @t294)) % 28.39/28.77 (define @t305 () (not @t304)) % 28.39/28.77 (define @t306 () (not @t305)) % 28.39/28.77 (define @t307 () (or @t297 @t278 @t296 @t306 @t247)) % 28.39/28.77 (define @t308 () (and @t112 @t277 @t295 @t305 @t100)) % 28.39/28.77 (define @t309 () (forall @t114 (not @t308))) % 28.39/28.77 (define @t310 () (not @t309)) % 28.39/28.77 (define @t311 () (or @t245 @t294)) % 28.39/28.77 (define @t312 () (not (= @t102 @t102))) % 28.39/28.77 (define @t313 () (or @t245 @t294 @t312)) % 28.39/28.77 (define @t314 () (= @t101 @t102)) % 28.39/28.77 (define @t315 () (not @t314)) % 28.39/28.77 (define @t316 () (= @t103 @t104)) % 28.39/28.77 (define @t317 () (not @t316)) % 28.39/28.77 (define @t318 () (not @t105)) % 28.39/28.77 (define @t319 () (or @t315 @t318 @t317 @t315)) % 28.39/28.77 (define @t320 () (or @t318 @t317 @t315)) % 28.39/28.77 (define @t321 () (forall @t107 @t320)) % 28.39/28.77 (define @t322 () (or @t247 @t321)) % 28.39/28.77 (define @t323 () (or @t247 @t320)) % 28.39/28.77 (define @t324 () (or @t318 @t317 @t315 @t247)) % 28.39/28.77 (define @t325 () (and @t105 @t316 @t314 @t100)) % 28.39/28.77 (define @t326 () (forall @t107 (not @t325))) % 28.39/28.77 (define @t327 () (not @t326)) % 28.39/28.77 (define @t328 () (forall @t171 (or @t167 @t166 (and @t164 (= tptp.nil @t149)) (and @t161 (or @t159 (and @t157 @t50 @t156 @t56 @t155 (not (= @t153 @t149))))) @t151 @t150 @t148))) % 28.39/28.77 (define @t329 () (@quantifiers_skolemize @t328 2)) % 28.39/28.77 (define @t330 () (@quantifiers_skolemize @t328 0)) % 28.39/28.77 (define @t331 () (tptp.memberP @t330 @t329)) % 28.39/28.77 (define @t332 () (@quantifiers_skolemize @t328 1)) % 28.39/28.77 (define @t333 () (tptp.memberP @t332 @t329)) % 28.39/28.77 (define @t334 () (not @t333)) % 28.39/28.77 (define @t335 () (tptp.ssItem @t329)) % 28.39/28.77 (define @t336 () (not @t335)) % 28.39/28.77 (define @t337 () (tptp.hd @t330)) % 28.39/28.77 (define @t338 () (tptp.cons @t337 tptp.nil)) % 28.39/28.77 (define @t339 () (tptp.tl @t330)) % 28.39/28.77 (define @t340 () (tptp.app @t339 @t338)) % 28.39/28.77 (define @t341 () (= @t332 @t340)) % 28.39/28.77 (define @t342 () (not @t341)) % 28.39/28.77 (define @t343 () (tptp.ssList @t340)) % 28.39/28.77 (define @t344 () (tptp.ssList @t339)) % 28.39/28.77 (define @t345 () (tptp.ssList @t338)) % 28.39/28.77 (define @t346 () (tptp.ssItem @t337)) % 28.39/28.77 (define @t347 () (tptp.neq tptp.nil @t330)) % 28.39/28.77 (define @t348 () (and @t347 @t346 @t345 @t344 @t343 @t342)) % 28.39/28.77 (define @t349 () (tptp.neq @t330 tptp.nil)) % 28.39/28.77 (define @t350 () (not @t349)) % 28.39/28.77 (define @t351 () (or @t350 @t348)) % 28.39/28.77 (define @t352 () (tptp.neq @t332 tptp.nil)) % 28.39/28.77 (define @t353 () (and @t352 @t351)) % 28.39/28.77 (define @t354 () (= tptp.nil @t332)) % 28.39/28.77 (define @t355 () (= tptp.nil @t330)) % 28.39/28.77 (define @t356 () (not @t355)) % 28.39/28.77 (define @t357 () (and @t356 @t354)) % 28.39/28.77 (define @t358 () (tptp.ssList @t332)) % 28.39/28.77 (define @t359 () (not @t358)) % 28.39/28.77 (define @t360 () (tptp.ssList @t330)) % 28.39/28.77 (define @t361 () (not @t360)) % 28.39/28.77 (define @t362 () (or @t361 @t359 @t357 @t353 @t336 @t334 @t331)) % 28.39/28.77 (define @t363 () (not @t362)) % 28.39/28.77 (define @t364 () (not @t328)) % 28.39/28.77 (define @t365 () (not (= @t340 @t332))) % 28.39/28.77 (define @t366 () (and @t347 @t346 @t345 @t344 @t343 @t365)) % 28.39/28.77 (define @t367 () (or @t350 @t366)) % 28.39/28.77 (define @t368 () (and @t352 @t367)) % 28.39/28.77 (define @t369 () (= @t330 tptp.nil)) % 28.39/28.77 (define @t370 () (not @t369)) % 28.39/28.77 (define @t371 () (and @t370 @t354)) % 28.39/28.77 (define @t372 () (or @t361 @t359 @t371 @t368 @t336 @t334 @t331)) % 28.39/28.77 (define @t373 () (not @t372)) % 28.39/28.77 (define @t374 () (@list true)) % 28.39/28.77 (define @t375 () (@list @t362)) % 28.39/28.77 (define @t376 () (or @t167 @t163 @t50)) % 28.39/28.77 (define @t377 () (not @t164)) % 28.39/28.77 (define @t378 () (=> @t164 @t50)) % 28.39/28.77 (define @t379 () (or @t361 @t369 @t346)) % 28.39/28.77 (define @t380 () (forall @t9 @t376)) % 28.39/28.77 (define @t381 () (@list @t330)) % 28.39/28.77 (define @t382 () (or @t361 @t355 @t346)) % 28.39/28.77 (define @t383 () (@list false)) % 28.39/28.77 (define @t384 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 28.39/28.77 (define @t385 () (= (tptp.neq @t2 @t384) (not (= @t2 @t384)))) % 28.39/28.77 (define @t386 () (not (tptp.ssList @t384))) % 28.39/28.77 (define @t387 () (or @t167 @t386 @t385)) % 28.39/28.77 (define @t388 () (or @t386 @t385)) % 28.39/28.77 (define @t389 () (or @t167 @t388)) % 28.39/28.77 (define @t390 () (@list @t2 @t384)) % 28.39/28.77 (define @t391 () (forall @t390 @t389)) % 28.39/28.77 (define @t392 () (@list @t384)) % 28.39/28.77 (define @t393 () (forall @t392 @t389)) % 28.39/28.77 (define @t394 () (forall @t392 @t388)) % 28.39/28.77 (define @t395 () (@list @t1)) % 28.39/28.77 (define @t396 () (or @t167 @t394)) % 28.39/28.77 (define @t397 () (forall @t7 (or @t185 @t5))) % 28.39/28.77 (define @t398 () (tptp.neq tptp.nil tptp.nil)) % 28.39/28.77 (define @t399 () (not (= tptp.nil tptp.nil))) % 28.39/28.77 (define @t400 () (= @t398 @t399)) % 28.39/28.77 (define @t401 () (not @t45)) % 28.39/28.77 (define @t402 () (or @t401 @t401 @t400)) % 28.39/28.77 (define @t403 () (forall @t390 @t387)) % 28.39/28.77 (define @t404 () (not @t398)) % 28.39/28.77 (define @t405 () (or @t401 @t401 @t404)) % 28.39/28.77 (define @t406 () (@list @t403)) % 28.39/28.77 (define @t407 () (@list false false)) % 28.39/28.77 (define @t408 () (and @t355 @t404)) % 28.39/28.77 (define @t409 () (not (= @t332 tptp.nil))) % 28.39/28.77 (define @t410 () (= @t352 @t409)) % 28.39/28.77 (define @t411 () (or @t359 @t401 @t410)) % 28.39/28.77 (define @t412 () (not @t354)) % 28.39/28.77 (define @t413 () (= @t352 @t412)) % 28.39/28.77 (define @t414 () (or @t359 @t401 @t413)) % 28.39/28.77 (define @t415 () (@list false false false)) % 28.39/28.77 (define @t416 () (not @t413)) % 28.39/28.77 (define @t417 () (not @t331)) % 28.39/28.77 (define @t418 () (not @t417)) % 28.39/28.77 (define @t419 () (and @t417 @t355 @t354 @t333)) % 28.39/28.77 (define @t420 () (@list false true false)) % 28.39/28.77 (define @t421 () (@var "BOUND_VARIABLE_9730" $$unsorted)) % 28.39/28.77 (define @t422 () (@var "BOUND_VARIABLE_9728" $$unsorted)) % 28.39/28.77 (define @t423 () (= (tptp.memberP (tptp.cons @t422 @t421) @t2) (or (= @t2 @t422) (tptp.memberP @t421 @t2)))) % 28.39/28.77 (define @t424 () (not (tptp.ssList @t421))) % 28.39/28.77 (define @t425 () (not (tptp.ssItem @t422))) % 28.39/28.77 (define @t426 () (not @t8)) % 28.39/28.77 (define @t427 () (or @t425 @t424 @t423)) % 28.39/28.77 (define @t428 () (or @t426 @t427)) % 28.39/28.77 (define @t429 () (forall (@list @t2 @t422 @t421) @t428)) % 28.39/28.77 (define @t430 () (@list @t422 @t421)) % 28.39/28.77 (define @t431 () (forall @t430 @t428)) % 28.39/28.77 (define @t432 () (forall @t430 @t427)) % 28.39/28.77 (define @t433 () (@var "BOUND_VARIABLE_9709" $$unsorted)) % 28.39/28.77 (define @t434 () (or @t426 @t432)) % 28.39/28.77 (define @t435 () (= (tptp.memberP (tptp.cons @t1 @t433) @t2) (or @t3 (tptp.memberP @t433 @t2)))) % 28.39/28.77 (define @t436 () (not (tptp.ssList @t433))) % 28.39/28.77 (define @t437 () (not @t6)) % 28.39/28.77 (define @t438 () (or @t437 @t436 @t435)) % 28.39/28.77 (define @t439 () (@list @t1 @t433)) % 28.39/28.77 (define @t440 () (forall @t439 @t438)) % 28.39/28.77 (define @t441 () (or @t436 @t435)) % 28.39/28.77 (define @t442 () (or @t437 @t441)) % 28.39/28.77 (define @t443 () (forall @t439 @t442)) % 28.39/28.77 (define @t444 () (@list @t433)) % 28.39/28.77 (define @t445 () (forall @t444 @t442)) % 28.39/28.77 (define @t446 () (forall @t444 @t441)) % 28.39/28.77 (define @t447 () (@list @t12)) % 28.39/28.77 (define @t448 () (or @t437 @t446)) % 28.39/28.77 (define @t449 () (forall @t16 (or @t217 @t81))) % 28.39/28.77 (define @t450 () (or @t167 @t163 @t56)) % 28.39/28.77 (define @t451 () (=> @t164 @t56)) % 28.39/28.77 (define @t452 () (or @t361 @t369 @t344)) % 28.39/28.77 (define @t453 () (forall @t9 @t450)) % 28.39/28.77 (define @t454 () (or @t361 @t355 @t344)) % 28.39/28.77 (define @t455 () (tptp.memberP @t339 @t329)) % 28.39/28.77 (define @t456 () (= @t329 @t337)) % 28.39/28.77 (define @t457 () (or @t456 @t455)) % 28.39/28.77 (define @t458 () (tptp.cons @t337 @t339)) % 28.39/28.77 (define @t459 () (tptp.memberP @t458 @t329)) % 28.39/28.77 (define @t460 () (= @t459 @t457)) % 28.39/28.77 (define @t461 () (not @t344)) % 28.39/28.77 (define @t462 () (not @t346)) % 28.39/28.77 (define @t463 () (or @t336 @t462 @t461 @t460)) % 28.39/28.77 (define @t464 () (@list false false false false)) % 28.39/28.77 (define @t465 () (= @t2 @t95)) % 28.39/28.77 (define @t466 () (or @t167 @t163 @t465)) % 28.39/28.77 (define @t467 () (=> @t164 @t465)) % 28.39/28.77 (define @t468 () (= @t330 @t458)) % 28.39/28.77 (define @t469 () (or @t361 @t369 @t468)) % 28.39/28.77 (define @t470 () (forall @t9 @t466)) % 28.39/28.77 (define @t471 () (or @t361 @t355 @t468)) % 28.39/28.77 (define @t472 () (not @t459)) % 28.39/28.77 (define @t473 () (not @t468)) % 28.39/28.77 (define @t474 () (and @t417 @t468)) % 28.39/28.77 (define @t475 () (@list true false)) % 28.39/28.77 (define @t476 () (not @t457)) % 28.39/28.77 (define @t477 () (not @t456)) % 28.39/28.77 (define @t478 () (@list @t457)) % 28.39/28.77 (define @t479 () (tptp.memberP tptp.nil @t329)) % 28.39/28.77 (define @t480 () (not @t479)) % 28.39/28.77 (define @t481 () (or @t336 @t480)) % 28.39/28.77 (define @t482 () (or @t456 @t479)) % 28.39/28.77 (define @t483 () (not @t482)) % 28.39/28.77 (define @t484 () (@list true true)) % 28.39/28.77 (define @t485 () (@var "BOUND_VARIABLE_9684" $$unsorted)) % 28.39/28.77 (define @t486 () (@var "BOUND_VARIABLE_9682" $$unsorted)) % 28.39/28.77 (define @t487 () (= (tptp.memberP (tptp.app @t486 @t485) @t2) (or (tptp.memberP @t486 @t2) (tptp.memberP @t485 @t2)))) % 28.39/28.77 (define @t488 () (not (tptp.ssList @t485))) % 28.39/28.77 (define @t489 () (not (tptp.ssList @t486))) % 28.39/28.77 (define @t490 () (or @t489 @t488 @t487)) % 28.39/28.77 (define @t491 () (or @t426 @t490)) % 28.39/28.77 (define @t492 () (forall (@list @t2 @t486 @t485) @t491)) % 28.39/28.77 (define @t493 () (@list @t486 @t485)) % 28.39/28.77 (define @t494 () (forall @t493 @t491)) % 28.39/28.77 (define @t495 () (forall @t493 @t490)) % 28.39/28.77 (define @t496 () (@var "BOUND_VARIABLE_9663" $$unsorted)) % 28.39/28.77 (define @t497 () (or @t426 @t495)) % 28.39/28.77 (define @t498 () (= (tptp.memberP (tptp.app @t1 @t496) @t2) (or @t74 (tptp.memberP @t496 @t2)))) % 28.39/28.77 (define @t499 () (not (tptp.ssList @t496))) % 28.39/28.77 (define @t500 () (or @t185 @t499 @t498)) % 28.39/28.77 (define @t501 () (@list @t1 @t496)) % 28.39/28.77 (define @t502 () (forall @t501 @t500)) % 28.39/28.77 (define @t503 () (or @t499 @t498)) % 28.39/28.77 (define @t504 () (or @t185 @t503)) % 28.39/28.77 (define @t505 () (forall @t501 @t504)) % 28.39/28.77 (define @t506 () (@list @t496)) % 28.39/28.77 (define @t507 () (forall @t506 @t504)) % 28.39/28.77 (define @t508 () (forall @t506 @t503)) % 28.39/28.77 (define @t509 () (or @t185 @t508)) % 28.39/28.77 (define @t510 () (forall @t16 (or @t217 @t75))) % 28.39/28.77 (define @t511 () (@var "BOUND_VARIABLE_9152" $$unsorted)) % 28.39/28.77 (define @t512 () (tptp.ssList (tptp.cons @t511 @t2))) % 28.39/28.77 (define @t513 () (not (tptp.ssItem @t511))) % 28.39/28.77 (define @t514 () (or @t513 @t512)) % 28.39/28.77 (define @t515 () (or @t167 @t514)) % 28.39/28.77 (define @t516 () (forall (@list @t2 @t511) @t515)) % 28.39/28.77 (define @t517 () (@list @t511)) % 28.39/28.77 (define @t518 () (forall @t517 @t515)) % 28.39/28.77 (define @t519 () (forall @t517 @t514)) % 28.39/28.77 (define @t520 () (or @t167 @t519)) % 28.39/28.77 (define @t521 () (forall @t7 (or @t437 @t41))) % 28.39/28.77 (define @t522 () (or @t401 @t462 @t345)) % 28.39/28.77 (define @t523 () (tptp.memberP @t338 @t329)) % 28.39/28.77 (define @t524 () (or @t455 @t523)) % 28.39/28.77 (define @t525 () (tptp.memberP @t340 @t329)) % 28.39/28.77 (define @t526 () (= @t525 @t524)) % 28.39/28.77 (define @t527 () (not @t345)) % 28.39/28.77 (define @t528 () (or @t336 @t461 @t527 @t526)) % 28.39/28.77 (define @t529 () (@var "BOUND_VARIABLE_9396" $$unsorted)) % 28.39/28.77 (define @t530 () (tptp.ssList (tptp.app @t2 @t529))) % 28.39/28.77 (define @t531 () (not (tptp.ssList @t529))) % 28.39/28.77 (define @t532 () (or @t531 @t530)) % 28.39/28.77 (define @t533 () (or @t167 @t532)) % 28.39/28.77 (define @t534 () (forall (@list @t2 @t529) @t533)) % 28.39/28.77 (define @t535 () (@list @t529)) % 28.39/28.77 (define @t536 () (forall @t535 @t533)) % 28.39/28.77 (define @t537 () (forall @t535 @t532)) % 28.39/28.77 (define @t538 () (or @t167 @t537)) % 28.39/28.77 (define @t539 () (forall @t7 (or @t185 @t61))) % 28.39/28.77 (define @t540 () (or @t461 @t527 @t343)) % 28.39/28.77 (define @t541 () (= @t347 @t356)) % 28.39/28.77 (define @t542 () (or @t401 @t361 @t541)) % 28.39/28.77 (define @t543 () (not @t541)) % 28.39/28.77 (define @t544 () (not @t356)) % 28.39/28.77 (define @t545 () (not @t343)) % 28.39/28.77 (define @t546 () (not @t347)) % 28.39/28.77 (define @t547 () (and @t333 @t341)) % 28.39/28.77 (define @t548 () (not @t455)) % 28.39/28.77 (define @t549 () (= @t523 @t482)) % 28.39/28.77 (define @t550 () (not @t549)) % 28.39/28.77 (define @t551 () (or @t336 @t462 @t401 @t549)) % 28.39/28.77 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 28.39/28.77 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 28.39/28.77 (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))))))))))) % 28.39/28.77 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 28.39/28.77 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 28.39/28.77 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 28.39/28.77 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 28.39/28.77 (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))))))))))))))))) % 28.39/28.77 (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)))))))))))))))) % 28.39/28.77 (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))))))))))))))))) % 28.39/28.77 (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))))))))))))))) % 28.39/28.77 (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))))))))))))))) % 28.39/28.77 (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)))))))))))))))) % 28.39/28.77 (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))))))))))))) % 28.39/28.77 (assume @p15 @t39) % 28.39/28.77 (assume @p16 @t44) % 28.39/28.77 (assume @p17 @t45) % 28.39/28.77 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 28.39/28.77 (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))))))))))) % 28.39/28.77 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 28.39/28.77 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 28.39/28.77 (assume @p22 @t54) % 28.39/28.77 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 28.39/28.77 (assume @p24 @t59) % 28.39/28.77 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 28.39/28.77 (assume @p26 @t64) % 28.39/28.77 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))))))))) % 28.39/28.77 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 28.39/28.77 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3)))))) % 28.39/28.77 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12))))))))) % 28.39/28.77 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 28.39/28.77 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66)))))) % 28.39/28.77 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69))))))) % 28.39/28.77 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71)))))))) % 28.39/28.77 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69)))))) % 28.39/28.77 (assume @p36 @t80) % 28.39/28.77 (assume @p37 @t86) % 28.39/28.77 (assume @p38 @t88) % 28.39/28.77 (assume @p39 (not (tptp.singletonP tptp.nil))) % 28.39/28.77 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 28.39/28.77 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 28.39/28.77 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 28.39/28.77 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 28.39/28.77 (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)))))))))))) % 28.39/28.77 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 28.39/28.77 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 28.39/28.77 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 28.39/28.77 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 28.39/28.77 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 28.39/28.77 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t89 @t1))))))))) % 28.39/28.77 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 28.39/28.77 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 28.39/28.77 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 28.39/28.77 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 28.39/28.77 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 28.39/28.77 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t89 @t10) @t1))))))))))) % 28.39/28.77 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 28.39/28.77 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 28.39/28.77 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t90)))) % 28.39/28.77 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 28.39/28.77 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t90)))) % 28.39/28.77 (assume @p62 (tptp.totalorderP tptp.nil)) % 28.39/28.77 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t90)))) % 28.39/28.77 (assume @p64 (tptp.strictorderP tptp.nil)) % 28.39/28.77 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t90)))) % 28.39/28.77 (assume @p66 (tptp.totalorderedP tptp.nil)) % 28.39/28.77 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t94) (or @t92 (and @t93 (tptp.totalorderedP @t1) (tptp.leq @t2 @t91))))))))) % 28.39/28.77 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t90)))) % 28.39/28.77 (assume @p69 (tptp.strictorderedP tptp.nil)) % 28.39/28.77 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t94) (or @t92 (and @t93 (tptp.strictorderedP @t1) (tptp.lt @t2 @t91))))))))) % 28.39/28.77 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t90)))) % 28.39/28.77 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 28.39/28.77 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t90)))) % 28.39/28.77 (assume @p74 (tptp.equalelemsP tptp.nil)) % 28.39/28.77 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 28.39/28.77 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 28.39/28.77 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t93 @t51 (= @t91 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 28.39/28.77 (assume @p78 @t98) % 28.39/28.77 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t99)))))))) % 28.39/28.77 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t99)))))))) % 28.39/28.77 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 28.39/28.77 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 28.39/28.77 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t92 @t48))))))) % 28.39/28.77 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 28.39/28.77 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 28.39/28.77 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 28.39/28.77 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3)))))) % 28.39/28.77 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 28.39/28.77 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 28.39/28.77 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 28.39/28.77 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71)))))))) % 28.39/28.77 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70))))))) % 28.39/28.77 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67))))))) % 28.39/28.77 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2)))))))) % 28.39/28.77 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 28.39/28.77 (assume @p96 @t146) % 28.39/28.77 (assume @p97 true) % 28.39/28.77 (step @p98 :rule refl :args (@t148)) % 28.39/28.77 (step @p99 :rule refl :args (@t150)) % 28.39/28.77 (step @p100 :rule refl :args (@t151)) % 28.39/28.77 (step @p101 :rule eq-symm :args (@t149 @t153)) % 28.39/28.77 (step @p102 :rule cong :premises (@p101) :args (@t154)) % 28.39/28.77 (step @p103 :rule refl :args (@t155)) % 28.39/28.77 (step @p104 :rule refl :args (@t56)) % 28.39/28.77 (step @p105 :rule refl :args (@t156)) % 28.39/28.77 (step @p106 :rule refl :args (@t50)) % 28.39/28.77 (step @p107 :rule refl :args (@t157)) % 28.39/28.77 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103 @p102) :args (@t158)) % 28.39/28.77 (step @p109 :rule refl :args (@t159)) % 28.39/28.77 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t160)) % 28.39/28.77 (step @p111 :rule refl :args (@t161)) % 28.39/28.77 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t162)) % 28.39/28.77 (step @p113 :rule eq-symm :args (@t149 tptp.nil)) % 28.39/28.77 (step @p114 :rule refl :args (@t164)) % 28.39/28.77 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t165)) % 28.39/28.77 (step @p116 :rule refl :args (@t166)) % 28.39/28.77 (step @p117 :rule refl :args (@t167)) % 28.39/28.77 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p112 @p100 @p99 @p98) :args (@t168)) % 28.39/28.77 (step @p119 :rule aci_norm :args ((= @t170 @t168))) % 28.39/28.77 (step @p120 :rule trans :premises (@p119 @p118)) % 28.39/28.77 (step @p121 :rule cong :premises (@p120) :args (@t172)) % 28.39/28.77 (step @p122 :rule quant-merge-prenex :args ((= (forall @t9 @t174) @t172))) % 28.39/28.77 (step @p123 :rule alpha_equiv :args (@t175 (@list @t149 @t147) (@list @t1 @t176))) % 28.39/28.77 (step @p124 :rule refl :args (@t167)) % 28.39/28.77 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t177)) % 28.39/28.77 (step @p126 :rule quant-miniscope-or :args ((= @t174 @t177))) % 28.39/28.77 (step @p127 :rule trans :premises (@p126 @p125)) % 28.39/28.77 (step @p128 :rule symm :premises (@p127)) % 28.39/28.77 (step @p129 :rule cong :premises (@p128) :args ((forall @t9 @t188))) % 28.39/28.77 (step @p130 :rule trans :premises (@p129 @p122)) % 28.39/28.77 (step @p131 :rule trans :premises (@p130 @p121)) % 28.39/28.77 (step @p132 :rule aci_norm :args ((= (or @t167 @t188) @t188))) % 28.39/28.77 (step @p133 :rule bool-impl-elim :args (@t17 @t188)) % 28.39/28.77 (step @p134 :rule trans :premises (@p133 @p132)) % 28.39/28.77 (step @p135 :rule cong :premises (@p134) :args ((forall @t9 (=> @t17 @t188)))) % 28.39/28.77 (step @p136 :rule trans :premises (@p135 @p131)) % 28.39/28.77 (step @p137 :rule aci_norm :args ((= @t190 @t186))) % 28.39/28.77 (step @p138 :rule cong :premises (@p137) :args (@t191)) % 28.39/28.77 (step @p139 :rule quant-merge-prenex :args ((= (forall @t7 @t193) @t191))) % 28.39/28.77 (step @p140 :rule refl :args (@t182)) % 28.39/28.77 (step @p141 :rule refl :args (@t184)) % 28.39/28.77 (step @p142 :rule alpha_equiv :args (@t194 (@list @t176) (@list @t28))) % 28.39/28.77 (step @p143 :rule refl :args (@t185)) % 28.39/28.77 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t195)) % 28.39/28.77 (step @p145 :rule quant-miniscope-or :args ((= @t193 @t195))) % 28.39/28.77 (step @p146 :rule trans :premises (@p145 @p144)) % 28.39/28.77 (step @p147 :rule symm :premises (@p146)) % 28.39/28.77 (step @p148 :rule cong :premises (@p147) :args (@t200)) % 28.39/28.77 (step @p149 :rule trans :premises (@p148 @p139)) % 28.39/28.77 (step @p150 :rule trans :premises (@p149 @p138)) % 28.39/28.77 (step @p151 :rule nary_cong :premises (@p117 @p150) :args (@t201)) % 28.39/28.77 (step @p152 :rule quant-miniscope-or :args ((= (forall @t7 @t202) @t201))) % 28.39/28.77 (step @p153 :rule aci_norm :args ((= @t203 @t202))) % 28.39/28.77 (step @p154 :rule cong :premises (@p153) :args ((forall @t7 @t203))) % 28.39/28.77 (step @p155 :rule trans :premises (@p154 @p152)) % 28.39/28.77 (step 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@p164) :args (@t207)) % 28.39/28.77 (step @p171 :rule trans :premises (@p170 @p163)) % 28.39/28.77 (step @p172 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t99) @t217 @t135 @t216 @t214)) @t207))) % 28.39/28.77 (step @p173 :rule refl :args (@t214)) % 28.39/28.77 (step @p174 :rule refl :args (@t216)) % 28.39/28.77 (step @p175 :rule refl :args (@t135)) % 28.39/28.77 (step @p176 :rule refl :args (@t217)) % 28.39/28.77 (step @p177 :rule eq-symm :args (@t2 @t12)) % 28.39/28.77 (step @p178 :rule cong :premises (@p177) :args (@t135)) % 28.39/28.77 (step @p179 :rule nary_cong :premises (@p178 @p176 @p175 @p174 @p173) :args (@t218)) % 28.39/28.77 (step @p180 :rule aci_norm :args ((= @t219 @t218))) % 28.39/28.77 (step @p181 :rule trans :premises (@p180 @p179)) % 28.39/28.77 (step @p182 :rule cong :premises (@p181) :args (@t220)) % 28.39/28.77 (step @p183 :rule trans :premises (@p182 @p172)) % 28.39/28.77 (step @p184 :rule trans :premises (@p183 @p171)) % 28.39/28.77 (step @p185 :rule refl :args (@t185)) % 28.39/28.77 (step @p186 :rule refl :args (@t198)) % 28.39/28.77 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184) :args (@t221)) % 28.39/28.77 (step @p188 :rule trans :premises (@p187 @p162)) % 28.39/28.77 (step @p189 :rule quant-miniscope-or :args ((= (forall @t16 @t222) @t221))) % 28.39/28.77 (step @p190 :rule aci_norm :args ((= @t223 @t222))) % 28.39/28.77 (step @p191 :rule cong :premises (@p190) :args ((forall @t16 @t223))) % 28.39/28.77 (step @p192 :rule trans :premises (@p191 @p189)) % 28.39/28.77 (step @p193 :rule trans :premises (@p192 @p188)) % 28.39/28.77 (step @p194 :rule aci_norm :args ((= (or @t217 @t224) @t223))) % 28.39/28.77 (step @p195 :rule bool-impl-elim :args (@t15 @t224)) % 28.39/28.77 (step @p196 :rule trans :premises (@p195 @p194)) % 28.39/28.77 (step @p197 :rule cong :premises (@p196) :args ((forall @t16 (=> @t15 @t224)))) % 28.39/28.77 (step @p198 :rule trans :premises (@p197 @p193)) % 28.39/28.77 (step @p199 :rule aci_norm :args ((= (or @t135 @t198 @t225) @t224))) % 28.39/28.77 (step @p200 :rule aci_norm :args ((= (or @t185 false @t216 @t214) @t225))) % 28.39/28.77 (step @p201 :rule refl :args (@t214)) % 28.39/28.77 (step @p202 :rule refl :args (@t216)) % 28.39/28.77 (step @p203 :rule eq-refl :args (@t1)) % 28.39/28.77 (step @p204 :rule cong :premises (@p203) :args (@t226)) % 28.39/28.77 (step @p205 :rule trans :premises (@p204 @p166)) % 28.39/28.77 (step @p206 :rule nary_cong :premises (@p185 @p205 @p202 @p201) :args (@t227)) % 28.39/28.77 (step @p207 :rule trans :premises (@p206 @p200)) % 28.39/28.77 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t232 @t136 @t231 @t230)) @t227))) % 28.39/28.77 (step @p209 :rule refl :args (@t230)) % 28.39/28.77 (step @p210 :rule refl :args (@t231)) % 28.39/28.77 (step @p211 :rule refl :args (@t136)) % 28.39/28.77 (step @p212 :rule refl :args (@t232)) % 28.39/28.77 (step @p213 :rule eq-symm :args (@t1 @t10)) % 28.39/28.77 (step @p214 :rule cong :premises (@p213) :args (@t136)) % 28.39/28.77 (step @p215 :rule nary_cong :premises (@p214 @p212 @p211 @p210 @p209) :args (@t233)) % 28.39/28.77 (step @p216 :rule aci_norm :args ((= @t234 @t233))) % 28.39/28.77 (step @p217 :rule trans :premises (@p216 @p215)) % 28.39/28.77 (step @p218 :rule cong :premises (@p217) :args (@t235)) % 28.39/28.77 (step @p219 :rule trans :premises (@p218 @p208)) % 28.39/28.77 (step @p220 :rule trans :premises (@p219 @p207)) % 28.39/28.77 (step @p221 :rule refl :args (@t135)) % 28.39/28.77 (step @p222 :rule nary_cong :premises (@p221 @p186 @p220) :args (@t236)) % 28.39/28.77 (step @p223 :rule trans :premises (@p222 @p199)) % 28.39/28.77 (step @p224 :rule quant-miniscope-or :args ((= (forall @t14 @t237) @t236))) % 28.39/28.77 (step @p225 :rule aci_norm :args ((= @t238 @t237))) % 28.39/28.77 (step @p226 :rule cong :premises (@p225) :args ((forall @t14 @t238))) % 28.39/28.77 (step @p227 :rule trans :premises (@p226 @p224)) % 28.39/28.77 (step @p228 :rule trans :premises (@p227 @p223)) % 28.39/28.77 (step @p229 :rule aci_norm :args ((= (or @t232 (or @t136 @t135 @t198 @t231 @t230)) @t238))) % 28.39/28.77 (step @p230 :rule refl :args (@t229)) % 28.39/28.77 (step @p231 :rule bool-double-not-elim :args (@t210)) % 28.39/28.77 (step @p232 :rule bool-double-not-elim :args (@t211)) % 28.39/28.77 (step @p233 :rule bool-double-not-elim :args (@t212)) % 28.39/28.77 (step @p234 :rule bool-double-not-elim :args (@t213)) % 28.39/28.77 (step @p235 :rule bool-double-not-elim :args (@t100)) % 28.39/28.77 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p232 @p231 @p230) :args (@t249)) % 28.39/28.77 (step @p237 :rule aci_norm :args ((= (and @t248 (and @t246 (and @t244 (and @t242 (and @t240 @t229))))) @t249))) % 28.39/28.77 (step @p238 :rule trans :premises (@p237 @p236)) % 28.39/28.77 (step @p239 :rule bool-or-de-morgan :args (@t239 @t228 false)) % 28.39/28.77 (step @p240 :rule refl :args (@t242)) % 28.39/28.77 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((and @t242 (not @t250)))) % 28.39/28.77 (step @p242 :rule bool-or-de-morgan :args (@t241 @t239 (or @t228))) % 28.39/28.77 (step @p243 :rule trans :premises (@p242 @p241)) % 28.39/28.77 (step @p244 :rule refl :args (@t244)) % 28.39/28.77 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((and @t244 (not (or @t241 @t239 @t228))))) % 28.39/28.77 (step @p246 :rule bool-or-de-morgan :args (@t243 @t241 (or @t239 @t228))) % 28.39/28.77 (step @p247 :rule trans :premises (@p246 @p245)) % 28.39/28.77 (step @p248 :rule refl :args (@t246)) % 28.39/28.77 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((and @t246 (not (or @t243 @t241 @t239 @t228))))) % 28.39/28.77 (step @p250 :rule bool-or-de-morgan :args (@t245 @t243 (or @t241 @t239 @t228))) % 28.39/28.77 (step @p251 :rule trans :premises (@p250 @p249)) % 28.39/28.77 (step @p252 :rule refl :args (@t248)) % 28.39/28.77 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((and @t248 (not (or @t245 @t243 @t241 @t239 @t228))))) % 28.39/28.77 (step @p254 :rule bool-or-de-morgan :args (@t247 @t245 (or @t243 @t241 @t239 @t228))) % 28.39/28.77 (step @p255 :rule trans :premises (@p254 @p253)) % 28.39/28.77 (step @p256 :rule trans :premises (@p255 @p238)) % 28.39/28.77 (step @p257 :rule refl :args (@t124)) % 28.39/28.77 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t252)) % 28.39/28.77 (step @p259 :rule refl :args (@t126)) % 28.39/28.77 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t253)) % 28.39/28.77 (step @p261 :rule refl :args (@t198)) % 28.39/28.77 (step @p262 :rule nary_cong :premises (@p211 @p175 @p261 @p210 @p260) :args (@t254)) % 28.39/28.77 (step @p263 :rule nary_cong :premises (@p212 @p262) :args ((or @t232 @t254))) % 28.39/28.77 (step @p264 :rule trans :premises (@p263 @p229)) % 28.39/28.77 (step @p265 :rule bool-impl-elim :args (@t13 @t254)) % 28.39/28.77 (step @p266 :rule trans :premises (@p265 @p264)) % 28.39/28.77 (step @p267 :rule cong :premises (@p266) :args ((forall @t14 (=> @t13 @t254)))) % 28.39/28.77 (step @p268 :rule trans :premises (@p267 @p228)) % 28.39/28.77 (step @p269 :rule aci_norm :args ((= (or @t247 @t245 @t243 @t241 @t250) @t251))) % 28.39/28.77 (step @p270 :rule aci_norm :args ((= (or @t239 @t228 false) @t250))) % 28.39/28.77 (step @p271 :rule eq-refl :args (@t209)) % 28.39/28.77 (step @p272 :rule cong :premises (@p271) :args (@t255)) % 28.39/28.77 (step @p273 :rule trans :premises (@p272 @p166)) % 28.39/28.77 (step @p274 :rule refl :args (@t228)) % 28.39/28.77 (step @p275 :rule refl :args (@t239)) % 28.39/28.77 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args (@t256)) % 28.39/28.77 (step @p277 :rule trans :premises (@p276 @p270)) % 28.39/28.77 (step @p278 :rule quant-var-elim-eq :args ((= (forall @t31 @t259) @t256))) % 28.39/28.77 (step @p279 :rule aci_norm :args ((= @t260 @t259))) % 28.39/28.77 (step @p280 :rule cong :premises (@p279) :args (@t261)) % 28.39/28.77 (step @p281 :rule trans :premises (@p280 @p278)) % 28.39/28.77 (step @p282 :rule trans :premises (@p281 @p277)) % 28.39/28.77 (step @p283 :rule refl :args (@t241)) % 28.39/28.77 (step @p284 :rule refl :args (@t243)) % 28.39/28.77 (step @p285 :rule refl :args (@t245)) % 28.39/28.77 (step @p286 :rule refl :args (@t247)) % 28.39/28.77 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284 @p283 @p282) :args (@t262)) % 28.39/28.77 (step @p288 :rule trans :premises (@p287 @p269)) % 28.39/28.77 (step @p289 :rule quant-miniscope-or :args ((= (forall @t31 @t263) @t262))) % 28.39/28.77 (step @p290 :rule aci_norm :args ((= @t264 @t263))) % 28.39/28.77 (step @p291 :rule cong :premises (@p290) :args ((forall @t31 @t264))) % 28.39/28.77 (step @p292 :rule trans :premises (@p291 @p289)) % 28.39/28.77 (step @p293 :rule trans :premises (@p292 @p288)) % 28.39/28.77 (step @p294 :rule aci_norm :args ((= (or @t258 @t120 @t265) @t264))) % 28.39/28.77 (step @p295 :rule bool-double-not-elim :args (@t265)) % 28.39/28.77 (step @p296 :rule bool-double-not-elim :args (@t120)) % 28.39/28.77 (step @p297 :rule refl :args (@t258)) % 28.39/28.77 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295) :args (@t269)) % 28.39/28.77 (step @p299 :rule aci_norm :args ((= (or @t258 (or @t268 @t267)) @t269))) % 28.39/28.77 (step @p300 :rule trans :premises (@p299 @p298)) % 28.39/28.77 (step @p301 :rule bool-and-de-morgan :args (@t121 @t266 true)) % 28.39/28.77 (step @p302 :rule nary_cong :premises (@p297 @p301) :args ((or @t258 (not (and @t121 @t266))))) % 28.39/28.77 (step @p303 :rule bool-and-de-morgan :args (@t30 @t121 (and @t266))) % 28.39/28.77 (step @p304 :rule trans :premises (@p303 @p302)) % 28.39/28.77 (step @p305 :rule trans :premises (@p304 @p300)) % 28.39/28.77 (step @p306 :rule trans :premises (@p305 @p294)) % 28.39/28.77 (step @p307 :rule cong :premises (@p306) :args (@t271)) % 28.39/28.77 (step @p308 :rule trans :premises (@p307 @p293)) % 28.39/28.77 (step @p309 :rule cong :premises (@p308) :args (@t272)) % 28.39/28.77 (step @p310 :rule exists-elim :args ((= (exists @t31 @t270) @t272))) % 28.39/28.77 (step @p311 :rule trans :premises (@p310 @p309)) % 28.39/28.77 (step @p312 :rule aci_norm :args ((= (or @t247 @t245 @t243 @t273) @t265))) % 28.39/28.77 (step @p313 :rule aci_norm :args ((= (or @t241 false @t257) @t273))) % 28.39/28.77 (step @p314 :rule refl :args (@t257)) % 28.39/28.77 (step @p315 :rule eq-refl :args (@t111)) % 28.39/28.77 (step @p316 :rule cong :premises (@p315) :args (@t274)) % 28.39/28.77 (step @p317 :rule trans :premises (@p316 @p166)) % 28.39/28.77 (step @p318 :rule nary_cong :premises (@p283 @p317 @p314) :args (@t275)) % 28.39/28.77 (step @p319 :rule trans :premises (@p318 @p313)) % 28.39/28.77 (step @p320 :rule quant-var-elim-eq :args ((= (forall @t118 @t280) @t275))) % 28.39/28.77 (step @p321 :rule aci_norm :args ((= @t281 @t280))) % 28.39/28.77 (step @p322 :rule cong :premises (@p321) :args (@t282)) % 28.39/28.77 (step @p323 :rule trans :premises (@p322 @p320)) % 28.39/28.77 (step @p324 :rule trans :premises (@p323 @p319)) % 28.39/28.77 (step @p325 :rule nary_cong :premises (@p286 @p285 @p284 @p324) :args (@t283)) % 28.39/28.77 (step @p326 :rule trans :premises (@p325 @p312)) % 28.39/28.77 (step @p327 :rule quant-miniscope-or :args ((= (forall @t118 @t284) @t283))) % 28.39/28.77 (step @p328 :rule aci_norm :args ((= @t285 @t284))) % 28.39/28.77 (step @p329 :rule cong :premises (@p328) :args ((forall @t118 @t285))) % 28.39/28.77 (step @p330 :rule trans :premises (@p329 @p327)) % 28.39/28.77 (step @p331 :rule trans :premises (@p330 @p326)) % 28.39/28.77 (step @p332 :rule aci_norm :args ((= (or @t279 @t286) @t285))) % 28.39/28.77 (step @p333 :rule bool-double-not-elim :args (@t286)) % 28.39/28.77 (step @p334 :rule refl :args (@t279)) % 28.39/28.77 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or @t279 (not @t287)))) % 28.39/28.77 (step @p336 :rule bool-and-de-morgan :args (@t116 @t287 true)) % 28.39/28.77 (step @p337 :rule trans 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@p417) :args ((or @t318 (not (and @t316 @t314 @t100))))) % 28.39/28.77 (step @p420 :rule bool-and-de-morgan :args (@t105 @t316 (and @t314 @t100))) % 28.39/28.77 (step @p421 :rule trans :premises (@p420 @p419)) % 28.39/28.77 (step @p422 :rule trans :premises (@p421 @p412)) % 28.39/28.77 (step @p423 :rule cong :premises (@p422) :args (@t326)) % 28.39/28.77 (step @p424 :rule trans :premises (@p423 @p411)) % 28.39/28.77 (step @p425 :rule cong :premises (@p424) :args (@t327)) % 28.39/28.77 (step @p426 :rule exists-elim :args ((= (exists @t107 @t325) @t327))) % 28.39/28.77 (step @p427 :rule trans :premises (@p426 @p425)) % 28.39/28.77 (step @p428 :rule eq-symm :args (@t102 @t101)) % 28.39/28.77 (step @p429 :rule eq-symm :args (@t104 @t103)) % 28.39/28.77 (step @p430 :rule refl :args (@t105)) % 28.39/28.77 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428 @p391) :args (@t106)) % 28.39/28.77 (step @p432 :rule cong :premises (@p431) :args (@t108)) % 28.39/28.77 (step @p433 :rule trans 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28.39/28.77 (step @p463 :rule refl :args (@t13)) % 28.39/28.77 (step @p464 :rule cong :premises (@p463 @p462) :args (@t138)) % 28.39/28.77 (step @p465 :rule cong :premises (@p464) :args (@t139)) % 28.39/28.77 (step @p466 :rule trans :premises (@p465 @p268)) % 28.39/28.77 (step @p467 :rule refl :args (@t15)) % 28.39/28.77 (step @p468 :rule cong :premises (@p467 @p466) :args (@t140)) % 28.39/28.77 (step @p469 :rule cong :premises (@p468) :args (@t141)) % 28.39/28.77 (step @p470 :rule trans :premises (@p469 @p198)) % 28.39/28.77 (step @p471 :rule refl :args (@t21)) % 28.39/28.77 (step @p472 :rule cong :premises (@p471 @p470) :args (@t142)) % 28.39/28.77 (step @p473 :rule cong :premises (@p472) :args (@t143)) % 28.39/28.77 (step @p474 :rule trans :premises (@p473 @p161)) % 28.39/28.77 (step @p475 :rule refl :args (@t17)) % 28.39/28.77 (step @p476 :rule cong :premises (@p475 @p474) :args (@t144)) % 28.39/28.77 (step @p477 :rule cong :premises (@p476) :args (@t145)) % 28.39/28.77 (step @p478 :rule trans :premises (@p477 @p136)) % 28.39/28.77 (step @p479 :rule cong :premises (@p478) :args (@t146)) % 28.39/28.77 (step @p480 :rule eq_resolve :premises (@p96 @p479)) % 28.39/28.77 (step @p481 :rule refl :args (@t363)) % 28.39/28.77 (step @p482 :rule bool-double-not-elim :args (@t328)) % 28.39/28.77 (step @p483 :rule nary_cong :premises (@p482 @p481) :args ((or (not @t364) @t363))) % 28.39/28.77 (step @p484 :rule refl :args (@t331)) % 28.39/28.77 (step @p485 :rule refl :args (@t334)) % 28.39/28.77 (step @p486 :rule refl :args (@t336)) % 28.39/28.77 (step @p487 :rule eq-symm :args (@t340 @t332)) % 28.39/28.77 (step @p488 :rule cong :premises (@p487) :args (@t365)) % 28.39/28.77 (step @p489 :rule refl :args (@t343)) % 28.39/28.77 (step @p490 :rule refl :args (@t344)) % 28.39/28.77 (step @p491 :rule refl :args (@t345)) % 28.39/28.77 (step @p492 :rule refl :args (@t346)) % 28.39/28.77 (step @p493 :rule refl :args (@t347)) % 28.39/28.77 (step @p494 :rule nary_cong :premises (@p493 @p492 @p491 @p490 @p489 @p488) :args (@t366)) % 28.39/28.77 (step @p495 :rule refl :args (@t350)) % 28.39/28.77 (step @p496 :rule nary_cong :premises (@p495 @p494) :args (@t367)) % 28.39/28.77 (step @p497 :rule refl :args (@t352)) % 28.39/28.77 (step @p498 :rule nary_cong :premises (@p497 @p496) :args (@t368)) % 28.39/28.77 (step @p499 :rule refl :args (@t354)) % 28.39/28.77 (step @p500 :rule eq-symm :args (@t330 tptp.nil)) % 28.39/28.77 (step @p501 :rule cong :premises (@p500) :args (@t370)) % 28.39/28.77 (step @p502 :rule nary_cong :premises (@p501 @p499) :args (@t371)) % 28.39/28.77 (step @p503 :rule refl :args (@t359)) % 28.39/28.77 (step @p504 :rule refl :args (@t361)) % 28.39/28.77 (step @p505 :rule nary_cong :premises (@p504 @p503 @p502 @p498 @p486 @p485 @p484) :args (@t372)) % 28.39/28.77 (step @p506 :rule cong :premises (@p505) :args (@t373)) % 28.39/28.77 (step @p507 :rule refl :args (@t364)) % 28.39/28.77 (step @p508 :rule cong :premises (@p507 @p506) :args ((=> @t364 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28.39/28.77 (step @p977 :rule reordering :premises (@p976) :args ((or @t341 @t348 @t546 @t462 @t527 @t461 @t545))) % 28.39/28.77 (step @p978 :rule chain_m_resolution :premises (@p977 @p966 @p954 @p710 @p916 @p781 @p943) :args (@t341 (@list true false false false false false) (@list @t348 @t347 @t346 @t345 @t344 @t343))) % 28.39/28.77 (assume-push @p1058 @t333) % 28.39/28.77 (assume-push @p1059 @t341) % 28.39/28.77 (assume-push @p1060 @t333) % 28.39/28.77 (assume-push @p1061 @t341) % 28.39/28.77 (step @p677 :rule true_intro :premises (@p661)) % 28.39/28.77 (step @p673 :rule refl :args (@t329)) % 28.39/28.77 (step @p983 :rule symm :premises (@p1059)) % 28.39/28.77 (step @p984 :rule cong :premises (@p983 @p673) :args (@t525)) % 28.39/28.77 (step @p985 :rule trans :premises (@p984 @p677)) % 28.39/28.77 (step @p986 :rule true_elim :premises (@p985)) % 28.39/28.77 (step-pop @p1062 :rule scope :premises (@p986)) % 28.39/28.77 (step-pop @p1063 :rule scope :premises (@p1062)) % 28.39/28.77 (step @p987 :rule process_scope :premises (@p1063) :args (@t525)) % 28.39/28.77 (step @p990 :rule and_intro :premises (@p661 @p1059)) % 28.39/28.77 (step @p991 :rule modus_ponens :premises (@p990 @p987)) % 28.39/28.77 (step-pop @p1064 :rule scope :premises (@p991)) % 28.39/28.77 (step-pop @p1065 :rule scope :premises (@p1064)) % 28.39/28.77 (step @p992 :rule process_scope :premises (@p1065) :args (@t525)) % 28.39/28.77 (step @p995 :rule implies_elim :premises (@p992)) % 28.39/28.77 (step @p996 :rule cnf_and_neg :args (@t547)) % 28.39/28.77 (step @p997 :rule resolution :premises (@p996 @p995) :args (true @t547)) % 28.39/28.77 (step @p998 :rule chain_m_resolution :premises (@p997 @p661 @p978) :args (@t525 @t407 (@list @t333 @t341))) % 28.39/28.77 (step @p999 :rule cnf_equiv_pos1 :args (@t526)) % 28.39/28.77 (step @p1000 :rule reordering :premises (@p999) :args ((or @t524 (not @t525) (not @t526)))) % 28.39/28.77 (step @p1001 :rule chain_m_resolution :premises (@p1000 @p998 @p919) :args (@t524 @t407 (@list @t525 @t526))) % 28.39/28.77 (step @p1002 :rule cnf_or_neg :args (@t457 1)) % 28.39/28.77 (step @p1003 :rule reordering :premises (@p1002) :args ((or @t548 @t457))) % 28.39/28.77 (step @p1004 :rule chain_m_resolution :premises (@p1003 @p841) :args (@t548 @t374 @t478)) % 28.39/28.77 (step @p1005 :rule cnf_or_pos :args (@t524)) % 28.39/28.77 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t455 @t523 (not @t524)))) % 28.39/28.77 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p1004 @p1001) :args (@t523 @t475 (@list @t455 @t524))) % 28.39/28.77 (step @p1008 :rule cnf_equiv_pos1 :args (@t549)) % 28.39/28.77 (step @p1009 :rule reordering :premises (@p1008) :args ((or (not @t523) @t482 @t550))) % 28.39/28.77 (step @p1010 :rule chain_m_resolution :premises (@p1009 @p1007 @p854) :args (@t550 (@list false true) (@list @t523 @t482))) % 28.39/28.77 (step @p1011 :rule cnf_or_pos :args (@t551)) % 28.39/28.77 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t401 @t336 @t462 @t549 (not @t551)))) % 28.39/28.77 (step @p1013 false :rule chain_m_resolution :premises (@p1012 @p1010 @p752 @p710 @p523 @p17) :args (false (@list true false false false false) (@list @t549 @t551 @t346 @t335 @t45))) % 28.39/28.77 ) % 28.39/28.77 % SZS output end Proof % 28.39/28.77 % cvc5 exiting %------------------------------------------------------------------------------