%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC302+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:47 AM UTC 2026 % Result : Theorem 55.01s 55.30s % Output : Proof 33.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC302+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:39:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 55.01/55.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 55.01/55.30 --- Run --no-e-matching --full-saturate-quant at 6... % 55.01/55.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 55.01/55.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 55.01/55.30 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 55.01/55.30 % SZS status Theorem % 55.01/55.30 % SZS output start Proof % 55.01/55.30 ( % 55.01/55.30 (declare-sort $$unsorted 0) % 55.01/55.30 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 55.01/55.30 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 55.01/55.30 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 55.01/55.30 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 55.01/55.30 (declare-const tptp.nil $$unsorted) % 55.01/55.30 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.ssList (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 55.01/55.30 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 55.01/55.30 (define @t1 () (@var "V" $$unsorted)) % 55.01/55.30 (define @t2 () (@var "U" $$unsorted)) % 55.01/55.30 (define @t3 () (= @t2 @t1)) % 55.01/55.30 (define @t4 () (not @t3)) % 55.01/55.30 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 55.01/55.30 (define @t6 () (tptp.ssItem @t1)) % 55.01/55.30 (define @t7 () (@list @t1)) % 55.01/55.30 (define @t8 () (tptp.ssItem @t2)) % 55.01/55.30 (define @t9 () (@list @t2)) % 55.01/55.30 (define @t10 () (@var "X" $$unsorted)) % 55.01/55.30 (define @t11 () (tptp.cons @t1 @t10)) % 55.01/55.30 (define @t12 () (@var "W" $$unsorted)) % 55.01/55.30 (define @t13 () (tptp.ssList @t10)) % 55.01/55.30 (define @t14 () (@list @t10)) % 55.01/55.30 (define @t15 () (tptp.ssList @t12)) % 55.01/55.30 (define @t16 () (@list @t12)) % 55.01/55.30 (define @t17 () (tptp.ssList @t2)) % 55.01/55.30 (define @t18 () (tptp.cons @t1 tptp.nil)) % 55.01/55.30 (define @t19 () (tptp.app @t1 @t12)) % 55.01/55.30 (define @t20 () (tptp.frontsegP @t2 @t1)) % 55.01/55.30 (define @t21 () (tptp.ssList @t1)) % 55.01/55.30 (define @t22 () (tptp.app @t12 @t1)) % 55.01/55.30 (define @t23 () (tptp.rearsegP @t2 @t1)) % 55.01/55.30 (define @t24 () (tptp.segmentP @t2 @t1)) % 55.01/55.30 (define @t25 () (tptp.leq @t12 @t1)) % 55.01/55.30 (define @t26 () (tptp.leq @t1 @t12)) % 55.01/55.30 (define @t27 () (@var "Z" $$unsorted)) % 55.01/55.30 (define @t28 () (@var "Y" $$unsorted)) % 55.01/55.30 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 55.01/55.30 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 55.01/55.30 (define @t31 () (= @t30 @t2)) % 55.01/55.30 (define @t32 () (tptp.ssList @t27)) % 55.01/55.30 (define @t33 () (@list @t27)) % 55.01/55.30 (define @t34 () (tptp.ssList @t28)) % 55.01/55.30 (define @t35 () (@list @t28)) % 55.01/55.30 (define @t36 () (tptp.ssItem @t12)) % 55.01/55.30 (define @t37 () (tptp.lt @t1 @t12)) % 55.01/55.30 (define @t38 () (=> @t31 @t26)) % 55.01/55.30 (define @t39 () (=> @t32 @t38)) % 55.01/55.30 (define @t40 () (forall @t33 @t39)) % 55.01/55.30 (define @t41 () (=> @t34 @t40)) % 55.01/55.30 (define @t42 () (forall @t35 @t41)) % 55.01/55.30 (define @t43 () (=> @t13 @t42)) % 55.01/55.30 (define @t44 () (forall @t14 @t43)) % 55.01/55.30 (define @t45 () (=> @t36 @t44)) % 55.01/55.30 (define @t46 () (forall @t16 @t45)) % 55.01/55.30 (define @t47 () (=> @t6 @t46)) % 55.01/55.30 (define @t48 () (forall @t7 @t47)) % 55.01/55.30 (define @t49 () (tptp.totalorderedP @t2)) % 55.01/55.30 (define @t50 () (= @t49 @t48)) % 55.01/55.30 (define @t51 () (=> @t17 @t50)) % 55.01/55.30 (define @t52 () (forall @t9 @t51)) % 55.01/55.30 (define @t53 () (= @t1 @t12)) % 55.01/55.30 (define @t54 () (tptp.cons @t1 @t2)) % 55.01/55.30 (define @t55 () (tptp.ssList @t54)) % 55.01/55.30 (define @t56 () (forall @t7 (=> @t6 @t55))) % 55.01/55.30 (define @t57 () (=> @t17 @t56)) % 55.01/55.30 (define @t58 () (forall @t9 @t57)) % 55.01/55.30 (define @t59 () (tptp.ssList tptp.nil)) % 55.01/55.30 (define @t60 () (= @t1 @t2)) % 55.01/55.30 (define @t61 () (tptp.cons @t12 @t1)) % 55.01/55.30 (define @t62 () (= tptp.nil @t2)) % 55.01/55.30 (define @t63 () (tptp.hd @t2)) % 55.01/55.30 (define @t64 () (not @t62)) % 55.01/55.30 (define @t65 () (tptp.tl @t2)) % 55.01/55.30 (define @t66 () (tptp.app @t2 @t1)) % 55.01/55.30 (define @t67 () (tptp.ssList @t66)) % 55.01/55.30 (define @t68 () (forall @t7 (=> @t21 @t67))) % 55.01/55.30 (define @t69 () (=> @t17 @t68)) % 55.01/55.30 (define @t70 () (forall @t9 @t69)) % 55.01/55.30 (define @t71 () (tptp.app @t1 @t2)) % 55.01/55.30 (define @t72 () (= (tptp.cons @t12 @t71) (tptp.app @t61 @t2))) % 55.01/55.30 (define @t73 () (forall @t16 (=> @t36 @t72))) % 55.01/55.30 (define @t74 () (=> @t21 @t73)) % 55.01/55.30 (define @t75 () (forall @t7 @t74)) % 55.01/55.30 (define @t76 () (=> @t17 @t75)) % 55.01/55.30 (define @t77 () (forall @t9 @t76)) % 55.01/55.30 (define @t78 () (tptp.app tptp.nil @t2)) % 55.01/55.30 (define @t79 () (=> @t17 (= @t78 @t2))) % 55.01/55.30 (define @t80 () (forall @t9 @t79)) % 55.01/55.30 (define @t81 () (tptp.leq @t1 @t2)) % 55.01/55.30 (define @t82 () (tptp.leq @t2 @t1)) % 55.01/55.30 (define @t83 () (and @t82 @t81)) % 55.01/55.30 (define @t84 () (=> @t83 @t3)) % 55.01/55.30 (define @t85 () (forall @t7 (=> @t6 @t84))) % 55.01/55.30 (define @t86 () (=> @t8 @t85)) % 55.01/55.30 (define @t87 () (forall @t9 @t86)) % 55.01/55.30 (define @t88 () (tptp.geq @t2 @t1)) % 55.01/55.30 (define @t89 () (tptp.lt @t1 @t2)) % 55.01/55.30 (define @t90 () (tptp.lt @t2 @t1)) % 55.01/55.30 (define @t91 () (tptp.lt @t2 @t12)) % 55.01/55.30 (define @t92 () (tptp.gt @t2 @t1)) % 55.01/55.30 (define @t93 () (tptp.memberP @t12 @t2)) % 55.01/55.30 (define @t94 () (tptp.app @t12 @t2)) % 55.01/55.30 (define @t95 () (tptp.segmentP @t1 @t12)) % 55.01/55.30 (define @t96 () (tptp.segmentP @t1 @t2)) % 55.01/55.30 (define @t97 () (tptp.cons @t2 tptp.nil)) % 55.01/55.30 (define @t98 () (tptp.hd @t1)) % 55.01/55.30 (define @t99 () (= tptp.nil @t1)) % 55.01/55.30 (define @t100 () (not @t99)) % 55.01/55.30 (define @t101 () (tptp.cons @t2 @t1)) % 55.01/55.30 (define @t102 () (= @t12 @t2)) % 55.01/55.30 (define @t103 () (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))) % 55.01/55.30 (define @t104 () (forall @t16 (=> @t15 @t103))) % 55.01/55.30 (define @t105 () (=> @t21 @t104)) % 55.01/55.30 (define @t106 () (forall @t7 @t105)) % 55.01/55.30 (define @t107 () (=> @t17 @t106)) % 55.01/55.30 (define @t108 () (forall @t9 @t107)) % 55.01/55.30 (define @t109 () (= @t90 (and @t4 @t82))) % 55.01/55.30 (define @t110 () (forall @t7 (=> @t6 @t109))) % 55.01/55.30 (define @t111 () (=> @t8 @t110)) % 55.01/55.30 (define @t112 () (forall @t9 @t111)) % 55.01/55.30 (define @t113 () (not (tptp.lt @t27 @t28))) % 55.01/55.30 (define @t114 () (@var "X3" $$unsorted)) % 55.01/55.30 (define @t115 () (tptp.cons @t27 tptp.nil)) % 55.01/55.30 (define @t116 () (@var "X2" $$unsorted)) % 55.01/55.30 (define @t117 () (tptp.cons @t28 tptp.nil)) % 55.01/55.30 (define @t118 () (@var "X1" $$unsorted)) % 55.01/55.30 (define @t119 () (tptp.app @t118 @t117)) % 55.01/55.30 (define @t120 () (tptp.app (tptp.app @t119 @t116) @t115)) % 55.01/55.30 (define @t121 () (tptp.app @t120 @t114)) % 55.01/55.30 (define @t122 () (not (= @t121 @t2))) % 55.01/55.30 (define @t123 () (or @t122 @t113)) % 55.01/55.30 (define @t124 () (tptp.ssList @t114)) % 55.01/55.30 (define @t125 () (=> @t124 @t123)) % 55.01/55.30 (define @t126 () (@list @t114)) % 55.01/55.30 (define @t127 () (forall @t126 @t125)) % 55.01/55.30 (define @t128 () (tptp.ssList @t116)) % 55.01/55.30 (define @t129 () (=> @t128 @t127)) % 55.01/55.30 (define @t130 () (@list @t116)) % 55.01/55.30 (define @t131 () (forall @t130 @t129)) % 55.01/55.30 (define @t132 () (tptp.ssList @t118)) % 55.01/55.30 (define @t133 () (=> @t132 @t131)) % 55.01/55.30 (define @t134 () (@list @t118)) % 55.01/55.30 (define @t135 () (forall @t134 @t133)) % 55.01/55.30 (define @t136 () (tptp.ssItem @t27)) % 55.01/55.30 (define @t137 () (=> @t136 @t135)) % 55.01/55.30 (define @t138 () (forall @t33 @t137)) % 55.01/55.30 (define @t139 () (tptp.ssItem @t28)) % 55.01/55.30 (define @t140 () (=> @t139 @t138)) % 55.01/55.30 (define @t141 () (forall @t35 @t140)) % 55.01/55.30 (define @t142 () (not (tptp.totalorderedP @t12))) % 55.01/55.30 (define @t143 () (not (tptp.segmentP @t10 @t12))) % 55.01/55.30 (define @t144 () (not (= @t2 @t12))) % 55.01/55.30 (define @t145 () (not (= @t1 @t10))) % 55.01/55.30 (define @t146 () (or @t145 @t144 @t143 @t142 @t141)) % 55.01/55.30 (define @t147 () (=> @t13 @t146)) % 55.01/55.30 (define @t148 () (forall @t14 @t147)) % 55.01/55.30 (define @t149 () (=> @t15 @t148)) % 55.01/55.30 (define @t150 () (forall @t16 @t149)) % 55.01/55.30 (define @t151 () (=> @t21 @t150)) % 55.01/55.30 (define @t152 () (forall @t7 @t151)) % 55.01/55.30 (define @t153 () (=> @t17 @t152)) % 55.01/55.30 (define @t154 () (forall @t9 @t153)) % 55.01/55.30 (define @t155 () (not @t154)) % 55.01/55.30 (define @t156 () (= @t2 @t78)) % 55.01/55.30 (define @t157 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 55.01/55.30 (define @t158 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 55.01/55.30 (define @t159 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 55.01/55.30 (define @t160 () (@var "BOUND_VARIABLE_11111" $$unsorted)) % 55.01/55.30 (define @t161 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 55.01/55.30 (define @t162 () (tptp.app (tptp.app (tptp.app (tptp.app @t161 (tptp.cons @t160 tptp.nil)) @t159) (tptp.cons @t158 tptp.nil)) @t157)) % 55.01/55.30 (define @t163 () (@var "BOUND_VARIABLE_11142" $$unsorted)) % 55.01/55.30 (define @t164 () (not (tptp.segmentP @t163 @t162))) % 55.01/55.30 (define @t165 () (not (tptp.ssList @t163))) % 55.01/55.30 (define @t166 () (not (tptp.ssList @t157))) % 55.01/55.30 (define @t167 () (not (tptp.ssList @t159))) % 55.01/55.30 (define @t168 () (not (tptp.ssList @t161))) % 55.01/55.30 (define @t169 () (not (tptp.lt @t158 @t160))) % 55.01/55.30 (define @t170 () (not (tptp.ssItem @t158))) % 55.01/55.30 (define @t171 () (not (tptp.ssItem @t160))) % 55.01/55.30 (define @t172 () (not (tptp.totalorderedP @t162))) % 55.01/55.30 (define @t173 () (not (tptp.ssList @t162))) % 55.01/55.30 (define @t174 () (or @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164)) % 55.01/55.30 (define @t175 () (@list @t160 @t158 @t161 @t159 @t157 @t163)) % 55.01/55.30 (define @t176 () (forall @t175 @t174)) % 55.01/55.30 (define @t177 () (@quantifiers_skolemize @t176 3)) % 55.01/55.30 (define @t178 () (not (= @t162 @t162))) % 55.01/55.30 (define @t179 () (or @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t178 @t165 @t164)) % 55.01/55.30 (define @t180 () (not (tptp.segmentP @t163 @t2))) % 55.01/55.30 (define @t181 () (not (= @t2 @t162))) % 55.01/55.30 (define @t182 () (not @t49)) % 55.01/55.30 (define @t183 () (not @t17)) % 55.01/55.30 (define @t184 () (or @t181 @t183 @t182 @t171 @t170 @t169 @t168 @t167 @t166 @t181 @t165 @t180)) % 55.01/55.30 (define @t185 () (or @t183 @t182 @t171 @t170 @t169 @t168 @t167 @t166 @t181 @t165 @t180)) % 55.01/55.30 (define @t186 () (forall @t9 @t185)) % 55.01/55.30 (define @t187 () (forall @t175 @t186)) % 55.01/55.30 (define @t188 () (forall (@list @t160 @t158 @t161 @t159 @t157 @t163 @t2) @t185)) % 55.01/55.30 (define @t189 () (@list @t2 @t160 @t158 @t161 @t159 @t157 @t163)) % 55.01/55.30 (define @t190 () (or @t165 @t180)) % 55.01/55.30 (define @t191 () (or @t171 @t170 @t169 @t168 @t167 @t166 @t181)) % 55.01/55.30 (define @t192 () (or @t183 @t191 @t182 @t190)) % 55.01/55.30 (define @t193 () (forall @t189 @t192)) % 55.01/55.30 (define @t194 () (forall @t175 @t192)) % 55.01/55.30 (define @t195 () (forall (@list @t163) @t190)) % 55.01/55.30 (define @t196 () (@list @t1)) % 55.01/55.30 (define @t197 () (forall (@list @t160 @t158 @t161 @t159 @t157) @t191)) % 55.01/55.30 (define @t198 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 55.01/55.30 (define @t199 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 55.01/55.30 (define @t200 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 55.01/55.30 (define @t201 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 55.01/55.30 (define @t202 () (or @t183 @t197 @t182 @t195)) % 55.01/55.30 (define @t203 () (not @t96)) % 55.01/55.30 (define @t204 () (not @t21)) % 55.01/55.30 (define @t205 () (or @t204 @t203)) % 55.01/55.30 (define @t206 () (forall @t7 @t205)) % 55.01/55.30 (define @t207 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t200 @t117) @t199) (tptp.cons @t201 tptp.nil)) @t198)))) % 55.01/55.30 (define @t208 () (not (tptp.ssList @t198))) % 55.01/55.30 (define @t209 () (not (tptp.ssList @t199))) % 55.01/55.30 (define @t210 () (not (tptp.ssList @t200))) % 55.01/55.30 (define @t211 () (not (tptp.lt @t201 @t28))) % 55.01/55.30 (define @t212 () (not (tptp.ssItem @t201))) % 55.01/55.30 (define @t213 () (not @t139)) % 55.01/55.30 (define @t214 () (or @t213 @t212 @t211 @t210 @t209 @t208 @t207)) % 55.01/55.30 (define @t215 () (@list @t28 @t201 @t200 @t199 @t198)) % 55.01/55.30 (define @t216 () (forall @t215 @t214)) % 55.01/55.30 (define @t217 () (or @t183 @t216 @t182 @t206)) % 55.01/55.30 (define @t218 () (or @t216 @t183 @t182 @t206)) % 55.01/55.30 (define @t219 () (or @t216 @t183 @t182 @t205)) % 55.01/55.30 (define @t220 () (or @t204 @t216 @t183 @t182 @t203)) % 55.01/55.30 (define @t221 () (or @t216 @t204 @t183 @t182 @t203)) % 55.01/55.30 (define @t222 () (or @t183 @t182 @t203)) % 55.01/55.30 (define @t223 () (not (= @t2 @t2))) % 55.01/55.30 (define @t224 () (or @t183 @t223 @t182 @t203)) % 55.01/55.30 (define @t225 () (not @t95)) % 55.01/55.30 (define @t226 () (not @t15)) % 55.01/55.30 (define @t227 () (or @t144 @t226 @t144 @t142 @t225)) % 55.01/55.30 (define @t228 () (or @t226 @t144 @t142 @t225)) % 55.01/55.30 (define @t229 () (forall @t16 @t228)) % 55.01/55.30 (define @t230 () (or @t216 @t204 @t229)) % 55.01/55.30 (define @t231 () (or @t216 @t204 @t228)) % 55.01/55.30 (define @t232 () (or @t226 @t144 @t142 @t216 @t204 @t225)) % 55.01/55.30 (define @t233 () (or @t144 @t142 @t216 @t204 @t225)) % 55.01/55.30 (define @t234 () (or @t204 @t225)) % 55.01/55.30 (define @t235 () (not (= @t1 @t1))) % 55.01/55.30 (define @t236 () (or @t204 @t235 @t225)) % 55.01/55.30 (define @t237 () (not @t13)) % 55.01/55.30 (define @t238 () (or @t145 @t237 @t145 @t143)) % 55.01/55.30 (define @t239 () (or @t237 @t145 @t143)) % 55.01/55.30 (define @t240 () (forall @t14 @t239)) % 55.01/55.30 (define @t241 () (or @t144 @t142 @t216 @t240)) % 55.01/55.30 (define @t242 () (or @t144 @t142 @t216 @t239)) % 55.01/55.30 (define @t243 () (or @t237 @t145 @t144 @t143 @t142 @t216)) % 55.01/55.30 (define @t244 () (or @t145 @t144 @t143 @t142 @t216)) % 55.01/55.30 (define @t245 () (or @t212 @t211 @t210 @t209 @t208 @t207)) % 55.01/55.30 (define @t246 () (or @t213 @t245)) % 55.01/55.30 (define @t247 () (forall @t215 @t246)) % 55.01/55.30 (define @t248 () (@list @t201 @t200 @t199 @t198)) % 55.01/55.30 (define @t249 () (forall @t248 @t246)) % 55.01/55.30 (define @t250 () (forall @t248 @t245)) % 55.01/55.30 (define @t251 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 55.01/55.30 (define @t252 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 55.01/55.30 (define @t253 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 55.01/55.30 (define @t254 () (or @t213 @t250)) % 55.01/55.30 (define @t255 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t253 @t117) @t252) @t115) @t251)))) % 55.01/55.30 (define @t256 () (not (tptp.ssList @t251))) % 55.01/55.30 (define @t257 () (not (tptp.ssList @t252))) % 55.01/55.30 (define @t258 () (not (tptp.ssList @t253))) % 55.01/55.30 (define @t259 () (not @t136)) % 55.01/55.30 (define @t260 () (or @t259 @t113 @t258 @t257 @t256 @t255)) % 55.01/55.30 (define @t261 () (@list @t27 @t253 @t252 @t251)) % 55.01/55.30 (define @t262 () (forall @t261 @t260)) % 55.01/55.30 (define @t263 () (or @t258 @t257 @t256 @t255)) % 55.01/55.30 (define @t264 () (or @t259 @t113 @t263)) % 55.01/55.30 (define @t265 () (forall @t261 @t264)) % 55.01/55.30 (define @t266 () (@list @t253 @t252 @t251)) % 55.01/55.30 (define @t267 () (forall @t266 @t264)) % 55.01/55.30 (define @t268 () (forall @t266 @t263)) % 55.01/55.30 (define @t269 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 55.01/55.30 (define @t270 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 55.01/55.30 (define @t271 () (or @t259 @t113 @t268)) % 55.01/55.30 (define @t272 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t119 @t270) @t115) @t269)))) % 55.01/55.30 (define @t273 () (not (tptp.ssList @t269))) % 55.01/55.30 (define @t274 () (not (tptp.ssList @t270))) % 55.01/55.30 (define @t275 () (not @t132)) % 55.01/55.30 (define @t276 () (or @t275 @t274 @t273 @t272)) % 55.01/55.30 (define @t277 () (@list @t118 @t270 @t269)) % 55.01/55.30 (define @t278 () (forall @t277 @t276)) % 55.01/55.30 (define @t279 () (or @t259 @t113 @t278)) % 55.01/55.30 (define @t280 () (or @t113 @t278)) % 55.01/55.30 (define @t281 () (or @t274 @t273 @t272)) % 55.01/55.30 (define @t282 () (or @t275 @t281)) % 55.01/55.30 (define @t283 () (forall @t277 @t282)) % 55.01/55.30 (define @t284 () (@list @t270 @t269)) % 55.01/55.30 (define @t285 () (forall @t284 @t282)) % 55.01/55.30 (define @t286 () (forall @t284 @t281)) % 55.01/55.30 (define @t287 () (@var "BOUND_VARIABLE_10965" $$unsorted)) % 55.01/55.30 (define @t288 () (or @t275 @t286)) % 55.01/55.30 (define @t289 () (not (= @t2 (tptp.app @t120 @t287)))) % 55.01/55.30 (define @t290 () (not (tptp.ssList @t287))) % 55.01/55.30 (define @t291 () (not @t128)) % 55.01/55.30 (define @t292 () (or @t291 @t290 @t289)) % 55.01/55.30 (define @t293 () (@list @t116 @t287)) % 55.01/55.30 (define @t294 () (forall @t293 @t292)) % 55.01/55.30 (define @t295 () (or @t275 @t294)) % 55.01/55.30 (define @t296 () (forall @t134 @t295)) % 55.01/55.30 (define @t297 () (or @t113 @t296)) % 55.01/55.30 (define @t298 () (or @t113 @t295)) % 55.01/55.30 (define @t299 () (or @t275 @t113 @t294)) % 55.01/55.30 (define @t300 () (or @t113 @t294)) % 55.01/55.30 (define @t301 () (or @t290 @t289)) % 55.01/55.30 (define @t302 () (or @t291 @t301)) % 55.01/55.30 (define @t303 () (forall @t293 @t302)) % 55.01/55.30 (define @t304 () (@list @t287)) % 55.01/55.30 (define @t305 () (forall @t304 @t302)) % 55.01/55.30 (define @t306 () (forall @t304 @t301)) % 55.01/55.30 (define @t307 () (or @t291 @t306)) % 55.01/55.30 (define @t308 () (not (= @t2 @t121))) % 55.01/55.30 (define @t309 () (not @t124)) % 55.01/55.30 (define @t310 () (or @t309 @t308)) % 55.01/55.30 (define @t311 () (forall @t126 @t310)) % 55.01/55.30 (define @t312 () (or @t291 @t311)) % 55.01/55.30 (define @t313 () (forall @t130 @t312)) % 55.01/55.30 (define @t314 () (or @t113 @t313)) % 55.01/55.30 (define @t315 () (or @t113 @t312)) % 55.01/55.30 (define @t316 () (or @t291 @t113 @t311)) % 55.01/55.30 (define @t317 () (or @t113 @t311)) % 55.01/55.30 (define @t318 () (or @t113 @t310)) % 55.01/55.30 (define @t319 () (or @t309 @t308 @t113)) % 55.01/55.30 (define @t320 () (or @t308 @t113)) % 55.01/55.30 (define @t321 () (tptp.ssList @t177)) % 55.01/55.30 (define @t322 () (@quantifiers_skolemize @t176 4)) % 55.01/55.30 (define @t323 () (@quantifiers_skolemize @t176 1)) % 55.01/55.30 (define @t324 () (tptp.cons @t323 tptp.nil)) % 55.01/55.30 (define @t325 () (@quantifiers_skolemize @t176 0)) % 55.01/55.30 (define @t326 () (tptp.cons @t325 tptp.nil)) % 55.01/55.30 (define @t327 () (@quantifiers_skolemize @t176 2)) % 55.01/55.30 (define @t328 () (tptp.app @t327 @t326)) % 55.01/55.30 (define @t329 () (tptp.app @t328 @t177)) % 55.01/55.30 (define @t330 () (tptp.app (tptp.app @t329 @t324) @t322)) % 55.01/55.30 (define @t331 () (@quantifiers_skolemize @t176 5)) % 55.01/55.30 (define @t332 () (tptp.ssList @t322)) % 55.01/55.30 (define @t333 () (not @t332)) % 55.01/55.30 (define @t334 () (not @t321)) % 55.01/55.30 (define @t335 () (tptp.ssList @t327)) % 55.01/55.30 (define @t336 () (not @t335)) % 55.01/55.30 (define @t337 () (tptp.lt @t323 @t325)) % 55.01/55.30 (define @t338 () (not @t337)) % 55.01/55.30 (define @t339 () (tptp.ssItem @t323)) % 55.01/55.30 (define @t340 () (not @t339)) % 55.01/55.30 (define @t341 () (tptp.ssItem @t325)) % 55.01/55.30 (define @t342 () (not @t341)) % 55.01/55.30 (define @t343 () (tptp.totalorderedP @t330)) % 55.01/55.30 (define @t344 () (not @t343)) % 55.01/55.30 (define @t345 () (tptp.ssList @t330)) % 55.01/55.30 (define @t346 () (not @t345)) % 55.01/55.30 (define @t347 () (or @t346 @t344 @t342 @t340 @t338 @t336 @t334 @t333 (not (tptp.ssList @t331)) (not (tptp.segmentP @t331 @t330)))) % 55.01/55.30 (define @t348 () (@list true)) % 55.01/55.30 (define @t349 () (@list @t347)) % 55.01/55.30 (define @t350 () (tptp.app tptp.nil @t177)) % 55.01/55.30 (define @t351 () (= @t177 @t350)) % 55.01/55.30 (define @t352 () (or @t334 @t351)) % 55.01/55.30 (define @t353 () (@list false false)) % 55.01/55.30 (define @t354 () (tptp.app tptp.nil @t322)) % 55.01/55.30 (define @t355 () (= @t322 @t354)) % 55.01/55.30 (define @t356 () (or @t333 @t355)) % 55.01/55.30 (define @t357 () (@var "BOUND_VARIABLE_10588" $$unsorted)) % 55.01/55.30 (define @t358 () (@var "BOUND_VARIABLE_10586" $$unsorted)) % 55.01/55.30 (define @t359 () (= (tptp.app (tptp.app @t2 @t358) @t357) (tptp.app @t2 (tptp.app @t358 @t357)))) % 55.01/55.30 (define @t360 () (not (tptp.ssList @t357))) % 55.01/55.30 (define @t361 () (not (tptp.ssList @t358))) % 55.01/55.30 (define @t362 () (or @t361 @t360 @t359)) % 55.01/55.30 (define @t363 () (or @t183 @t362)) % 55.01/55.30 (define @t364 () (forall (@list @t2 @t358 @t357) @t363)) % 55.01/55.30 (define @t365 () (@list @t358 @t357)) % 55.01/55.30 (define @t366 () (forall @t365 @t363)) % 55.01/55.30 (define @t367 () (forall @t365 @t362)) % 55.01/55.30 (define @t368 () (@var "BOUND_VARIABLE_10568" $$unsorted)) % 55.01/55.30 (define @t369 () (or @t183 @t367)) % 55.01/55.30 (define @t370 () (= (tptp.app @t66 @t368) (tptp.app @t2 (tptp.app @t1 @t368)))) % 55.01/55.30 (define @t371 () (not (tptp.ssList @t368))) % 55.01/55.30 (define @t372 () (or @t204 @t371 @t370)) % 55.01/55.30 (define @t373 () (@list @t1 @t368)) % 55.01/55.30 (define @t374 () (forall @t373 @t372)) % 55.01/55.30 (define @t375 () (or @t371 @t370)) % 55.01/55.30 (define @t376 () (or @t204 @t375)) % 55.01/55.30 (define @t377 () (forall @t373 @t376)) % 55.01/55.30 (define @t378 () (@list @t368)) % 55.01/55.30 (define @t379 () (forall @t378 @t376)) % 55.01/55.30 (define @t380 () (forall @t378 @t375)) % 55.01/55.30 (define @t381 () (@list @t12)) % 55.01/55.30 (define @t382 () (or @t204 @t380)) % 55.01/55.30 (define @t383 () (forall @t16 (or @t226 @t103))) % 55.01/55.30 (define @t384 () (@var "BOUND_VARIABLE_9144" $$unsorted)) % 55.01/55.30 (define @t385 () (tptp.ssList (tptp.cons @t384 @t2))) % 55.01/55.30 (define @t386 () (not (tptp.ssItem @t384))) % 55.01/55.30 (define @t387 () (or @t386 @t385)) % 55.01/55.30 (define @t388 () (or @t183 @t387)) % 55.01/55.30 (define @t389 () (forall (@list @t2 @t384) @t388)) % 55.01/55.30 (define @t390 () (@list @t384)) % 55.01/55.30 (define @t391 () (forall @t390 @t388)) % 55.01/55.30 (define @t392 () (forall @t390 @t387)) % 55.01/55.30 (define @t393 () (or @t183 @t392)) % 55.01/55.30 (define @t394 () (not @t6)) % 55.01/55.30 (define @t395 () (forall @t7 (or @t394 @t55))) % 55.01/55.30 (define @t396 () (tptp.ssList @t326)) % 55.01/55.30 (define @t397 () (not @t59)) % 55.01/55.30 (define @t398 () (or @t397 @t342 @t396)) % 55.01/55.30 (define @t399 () (@list false false false)) % 55.01/55.30 (define @t400 () (tptp.app @t326 @t177)) % 55.01/55.30 (define @t401 () (tptp.app @t327 @t400)) % 55.01/55.30 (define @t402 () (= @t329 @t401)) % 55.01/55.30 (define @t403 () (not @t396)) % 55.01/55.30 (define @t404 () (or @t336 @t403 @t334 @t402)) % 55.01/55.30 (define @t405 () (@list false false false false)) % 55.01/55.30 (define @t406 () (tptp.ssList @t324)) % 55.01/55.30 (define @t407 () (or @t397 @t340 @t406)) % 55.01/55.30 (define @t408 () (@var "BOUND_VARIABLE_9388" $$unsorted)) % 55.01/55.30 (define @t409 () (tptp.ssList (tptp.app @t2 @t408))) % 55.01/55.30 (define @t410 () (not (tptp.ssList @t408))) % 55.01/55.30 (define @t411 () (or @t410 @t409)) % 55.01/55.30 (define @t412 () (or @t183 @t411)) % 55.01/55.30 (define @t413 () (forall (@list @t2 @t408) @t412)) % 55.01/55.30 (define @t414 () (@list @t408)) % 55.01/55.30 (define @t415 () (forall @t414 @t412)) % 55.01/55.30 (define @t416 () (forall @t414 @t411)) % 55.01/55.30 (define @t417 () (or @t183 @t416)) % 55.01/55.30 (define @t418 () (forall @t7 (or @t204 @t67))) % 55.01/55.30 (define @t419 () (tptp.ssList @t328)) % 55.01/55.30 (define @t420 () (or @t336 @t403 @t419)) % 55.01/55.30 (define @t421 () (tptp.ssList @t329)) % 55.01/55.30 (define @t422 () (not @t419)) % 55.01/55.30 (define @t423 () (or @t422 @t334 @t421)) % 55.01/55.30 (define @t424 () (tptp.app @t324 @t322)) % 55.01/55.30 (define @t425 () (tptp.app @t329 @t424)) % 55.01/55.30 (define @t426 () (= @t330 @t425)) % 55.01/55.30 (define @t427 () (not @t406)) % 55.01/55.30 (define @t428 () (not @t421)) % 55.01/55.30 (define @t429 () (or @t428 @t427 @t333 @t426)) % 55.01/55.30 (define @t430 () (@list @t332 @t421 @t406 @t429)) % 55.01/55.30 (define @t431 () (@var "BOUND_VARIABLE_9425" $$unsorted)) % 55.01/55.30 (define @t432 () (@var "BOUND_VARIABLE_9427" $$unsorted)) % 55.01/55.30 (define @t433 () (= (tptp.cons @t432 (tptp.app @t431 @t2)) (tptp.app (tptp.cons @t432 @t431) @t2))) % 55.01/55.30 (define @t434 () (not (tptp.ssItem @t432))) % 55.01/55.30 (define @t435 () (not (tptp.ssList @t431))) % 55.01/55.30 (define @t436 () (or @t183 @t435 @t434 @t433)) % 55.01/55.30 (define @t437 () (or @t435 @t434 @t433)) % 55.01/55.30 (define @t438 () (or @t183 @t437)) % 55.01/55.30 (define @t439 () (@list @t2 @t431 @t432)) % 55.01/55.30 (define @t440 () (forall @t439 @t438)) % 55.01/55.30 (define @t441 () (@list @t431 @t432)) % 55.01/55.30 (define @t442 () (forall @t441 @t438)) % 55.01/55.30 (define @t443 () (forall @t441 @t437)) % 55.01/55.30 (define @t444 () (@var "BOUND_VARIABLE_9407" $$unsorted)) % 55.01/55.30 (define @t445 () (or @t183 @t443)) % 55.01/55.30 (define @t446 () (= (tptp.cons @t444 @t71) (tptp.app (tptp.cons @t444 @t1) @t2))) % 55.01/55.30 (define @t447 () (not (tptp.ssItem @t444))) % 55.01/55.30 (define @t448 () (or @t204 @t447 @t446)) % 55.01/55.30 (define @t449 () (@list @t1 @t444)) % 55.01/55.30 (define @t450 () (forall @t449 @t448)) % 55.01/55.30 (define @t451 () (or @t447 @t446)) % 55.01/55.30 (define @t452 () (or @t204 @t451)) % 55.01/55.30 (define @t453 () (forall @t449 @t452)) % 55.01/55.30 (define @t454 () (@list @t444)) % 55.01/55.30 (define @t455 () (forall @t454 @t452)) % 55.01/55.30 (define @t456 () (forall @t454 @t451)) % 55.01/55.30 (define @t457 () (or @t204 @t456)) % 55.01/55.30 (define @t458 () (not @t36)) % 55.01/55.30 (define @t459 () (forall @t16 (or @t458 @t72))) % 55.01/55.30 (define @t460 () (tptp.cons @t325 @t350)) % 55.01/55.30 (define @t461 () (or @t334 @t397 @t342 (= @t460 @t400))) % 55.01/55.30 (define @t462 () (forall @t439 @t436)) % 55.01/55.30 (define @t463 () (= @t400 @t460)) % 55.01/55.30 (define @t464 () (or @t334 @t397 @t342 @t463)) % 55.01/55.30 (define @t465 () (@list false)) % 55.01/55.30 (define @t466 () (@list @t462)) % 55.01/55.30 (define @t467 () (tptp.cons @t323 @t354)) % 55.01/55.30 (define @t468 () (or @t333 @t397 @t340 (= @t467 @t424))) % 55.01/55.30 (define @t469 () (= @t424 @t467)) % 55.01/55.30 (define @t470 () (or @t333 @t397 @t340 @t469)) % 55.01/55.30 (define @t471 () (@var "BOUND_VARIABLE_8816" $$unsorted)) % 55.01/55.30 (define @t472 () (@var "BOUND_VARIABLE_8810" $$unsorted)) % 55.01/55.30 (define @t473 () (@var "BOUND_VARIABLE_8814" $$unsorted)) % 55.01/55.30 (define @t474 () (@var "BOUND_VARIABLE_8812" $$unsorted)) % 55.01/55.30 (define @t475 () (tptp.app (tptp.app @t474 (tptp.cons @t1 @t473)) (tptp.cons @t472 @t471))) % 55.01/55.30 (define @t476 () (not (= @t2 @t475))) % 55.01/55.30 (define @t477 () (not (tptp.ssList @t471))) % 55.01/55.30 (define @t478 () (not (tptp.ssList @t473))) % 55.01/55.30 (define @t479 () (not (tptp.ssList @t474))) % 55.01/55.30 (define @t480 () (tptp.leq @t1 @t472)) % 55.01/55.30 (define @t481 () (not (tptp.ssItem @t472))) % 55.01/55.30 (define @t482 () (or @t394 @t481 @t480 @t479 @t478 @t477 @t476)) % 55.01/55.30 (define @t483 () (@list @t1 @t472 @t474 @t473 @t471)) % 55.01/55.30 (define @t484 () (= @t49 (forall @t483 @t482))) % 55.01/55.30 (define @t485 () (or @t481 @t480 @t479 @t478 @t477 @t476)) % 55.01/55.30 (define @t486 () (or @t394 @t485)) % 55.01/55.30 (define @t487 () (forall @t483 @t486)) % 55.01/55.30 (define @t488 () (@list @t472 @t474 @t473 @t471)) % 55.01/55.30 (define @t489 () (forall @t488 @t486)) % 55.01/55.30 (define @t490 () (forall @t488 @t485)) % 55.01/55.30 (define @t491 () (@var "BOUND_VARIABLE_8786" $$unsorted)) % 55.01/55.30 (define @t492 () (@var "BOUND_VARIABLE_8784" $$unsorted)) % 55.01/55.30 (define @t493 () (@var "BOUND_VARIABLE_8782" $$unsorted)) % 55.01/55.30 (define @t494 () (or @t394 @t490)) % 55.01/55.30 (define @t495 () (not (= @t2 (tptp.app (tptp.app @t493 (tptp.cons @t1 @t492)) (tptp.cons @t12 @t491))))) % 55.01/55.30 (define @t496 () (not (tptp.ssList @t491))) % 55.01/55.30 (define @t497 () (not (tptp.ssList @t492))) % 55.01/55.30 (define @t498 () (not (tptp.ssList @t493))) % 55.01/55.30 (define @t499 () (or @t458 @t26 @t498 @t497 @t496 @t495)) % 55.01/55.30 (define @t500 () (@list @t12 @t493 @t492 @t491)) % 55.01/55.30 (define @t501 () (forall @t500 @t499)) % 55.01/55.30 (define @t502 () (or @t498 @t497 @t496 @t495)) % 55.01/55.30 (define @t503 () (or @t458 @t26 @t502)) % 55.01/55.30 (define @t504 () (forall @t500 @t503)) % 55.01/55.30 (define @t505 () (@list @t493 @t492 @t491)) % 55.01/55.30 (define @t506 () (forall @t505 @t503)) % 55.01/55.30 (define @t507 () (forall @t505 @t502)) % 55.01/55.30 (define @t508 () (@var "BOUND_VARIABLE_8495" $$unsorted)) % 55.01/55.30 (define @t509 () (@var "BOUND_VARIABLE_8493" $$unsorted)) % 55.01/55.30 (define @t510 () (or @t458 @t26 @t507)) % 33.81/55.30 (define @t511 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t509)) (tptp.cons @t12 @t508))))) % 33.81/55.30 (define @t512 () (not (tptp.ssList @t508))) % 33.81/55.30 (define @t513 () (not (tptp.ssList @t509))) % 33.81/55.30 (define @t514 () (or @t237 @t513 @t512 @t511)) % 33.81/55.30 (define @t515 () (@list @t10 @t509 @t508)) % 33.81/55.30 (define @t516 () (forall @t515 @t514)) % 33.81/55.30 (define @t517 () (or @t458 @t26 @t516)) % 33.81/55.30 (define @t518 () (or @t26 @t516)) % 33.81/55.30 (define @t519 () (or @t513 @t512 @t511)) % 33.81/55.30 (define @t520 () (or @t237 @t519)) % 33.81/55.30 (define @t521 () (forall @t515 @t520)) % 33.81/55.30 (define @t522 () (@list @t509 @t508)) % 33.81/55.30 (define @t523 () (forall @t522 @t520)) % 33.81/55.30 (define @t524 () (forall @t522 @t519)) % 33.81/55.30 (define @t525 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 33.81/55.30 (define @t526 () (or @t237 @t524)) % 33.81/55.30 (define @t527 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t525))))) % 33.81/55.30 (define @t528 () (not (tptp.ssList @t525))) % 33.81/55.30 (define @t529 () (not @t34)) % 33.81/55.30 (define @t530 () (or @t529 @t528 @t527)) % 33.81/55.30 (define @t531 () (@list @t28 @t525)) % 33.81/55.30 (define @t532 () (forall @t531 @t530)) % 33.81/55.30 (define @t533 () (or @t237 @t532)) % 33.81/55.30 (define @t534 () (forall @t14 @t533)) % 33.81/55.30 (define @t535 () (or @t26 @t534)) % 33.81/55.30 (define @t536 () (or @t26 @t533)) % 33.81/55.30 (define @t537 () (or @t237 @t26 @t532)) % 33.81/55.30 (define @t538 () (or @t26 @t532)) % 33.81/55.30 (define @t539 () (or @t528 @t527)) % 33.81/55.30 (define @t540 () (or @t529 @t539)) % 33.81/55.30 (define @t541 () (forall @t531 @t540)) % 33.81/55.30 (define @t542 () (@list @t525)) % 33.81/55.30 (define @t543 () (forall @t542 @t540)) % 33.81/55.30 (define @t544 () (forall @t542 @t539)) % 33.81/55.30 (define @t545 () (or @t529 @t544)) % 33.81/55.30 (define @t546 () (= @t2 @t30)) % 33.81/55.30 (define @t547 () (not @t546)) % 33.81/55.30 (define @t548 () (not @t32)) % 33.81/55.30 (define @t549 () (or @t548 @t547)) % 33.81/55.30 (define @t550 () (forall @t33 @t549)) % 33.81/55.30 (define @t551 () (or @t529 @t550)) % 33.81/55.30 (define @t552 () (forall @t35 @t551)) % 33.81/55.30 (define @t553 () (or @t26 @t552)) % 33.81/55.30 (define @t554 () (or @t26 @t551)) % 33.81/55.30 (define @t555 () (or @t529 @t26 @t550)) % 33.81/55.30 (define @t556 () (or @t26 @t550)) % 33.81/55.30 (define @t557 () (or @t26 @t549)) % 33.81/55.30 (define @t558 () (or @t548 @t547 @t26)) % 33.81/55.30 (define @t559 () (=> @t546 @t26)) % 33.81/55.30 (define @t560 () (not (= @t330 @t475))) % 33.81/55.30 (define @t561 () (or @t394 @t481 @t480 @t479 @t478 @t477 @t560)) % 33.81/55.30 (define @t562 () (forall @t483 @t561)) % 33.81/55.30 (define @t563 () (= @t343 @t562)) % 33.81/55.30 (define @t564 () (or @t346 @t563)) % 33.81/55.30 (define @t565 () (forall @t9 (or @t183 @t484))) % 33.81/55.30 (define @t566 () (forall @t483 (or @t394 @t481 @t480 @t479 @t478 @t477 (not (= @t475 @t330))))) % 33.81/55.30 (define @t567 () (= @t343 @t566)) % 33.81/55.30 (define @t568 () (or @t346 @t567)) % 33.81/55.30 (define @t569 () (tptp.app (tptp.app @t327 (tptp.cons @t325 @t177)) (tptp.cons @t323 @t322))) % 33.81/55.30 (define @t570 () (not (= @t569 @t330))) % 33.81/55.30 (define @t571 () (tptp.leq @t325 @t323)) % 33.81/55.30 (define @t572 () (or @t342 @t340 @t571 @t336 @t334 @t333 @t570)) % 33.81/55.30 (define @t573 () (= @t330 @t569)) % 33.81/55.30 (define @t574 () (not @t573)) % 33.81/55.30 (define @t575 () (or @t342 @t340 @t571 @t336 @t334 @t333 @t574)) % 33.81/55.30 (define @t576 () (@var "BOUND_VARIABLE_9462" $$unsorted)) % 33.81/55.30 (define @t577 () (= @t2 @t576)) % 33.81/55.30 (define @t578 () (not (tptp.leq @t576 @t2))) % 33.81/55.30 (define @t579 () (not (tptp.leq @t2 @t576))) % 33.81/55.30 (define @t580 () (not (tptp.ssItem @t576))) % 33.81/55.30 (define @t581 () (not @t8)) % 33.81/55.30 (define @t582 () (or @t580 @t579 @t578 @t577)) % 33.81/55.30 (define @t583 () (or @t581 @t582)) % 33.81/55.30 (define @t584 () (forall (@list @t2 @t576) @t583)) % 33.81/55.30 (define @t585 () (@list @t576)) % 33.81/55.30 (define @t586 () (forall @t585 @t583)) % 33.81/55.30 (define @t587 () (forall @t585 @t582)) % 33.81/55.30 (define @t588 () (or @t581 @t587)) % 33.81/55.30 (define @t589 () (not @t81)) % 33.81/55.30 (define @t590 () (not @t82)) % 33.81/55.30 (define @t591 () (or @t394 @t590 @t589 @t3)) % 33.81/55.30 (define @t592 () (forall @t7 @t591)) % 33.81/55.30 (define @t593 () (or @t590 @t589 @t3)) % 33.81/55.30 (define @t594 () (@var "BOUND_VARIABLE_10856" $$unsorted)) % 33.81/55.30 (define @t595 () (= (tptp.lt @t2 @t594) (and (not (= @t2 @t594)) (tptp.leq @t2 @t594)))) % 33.81/55.30 (define @t596 () (not (tptp.ssItem @t594))) % 33.81/55.30 (define @t597 () (or @t581 @t596 @t595)) % 33.81/55.30 (define @t598 () (or @t596 @t595)) % 33.81/55.30 (define @t599 () (or @t581 @t598)) % 33.81/55.30 (define @t600 () (@list @t2 @t594)) % 33.81/55.30 (define @t601 () (forall @t600 @t599)) % 33.81/55.30 (define @t602 () (@list @t594)) % 33.81/55.30 (define @t603 () (forall @t602 @t599)) % 33.81/55.30 (define @t604 () (forall @t602 @t598)) % 33.81/55.30 (define @t605 () (or @t581 @t604)) % 33.81/55.30 (define @t606 () (forall @t7 (or @t394 @t109))) % 33.81/55.30 (define @t607 () (tptp.leq @t323 @t325)) % 33.81/55.30 (define @t608 () (not (= @t323 @t325))) % 33.81/55.30 (define @t609 () (and @t608 @t607)) % 33.81/55.30 (define @t610 () (= @t337 @t609)) % 33.81/55.30 (define @t611 () (or @t340 @t342 @t610)) % 33.81/55.30 (define @t612 () (forall @t600 @t597)) % 33.81/55.30 (define @t613 () (= @t325 @t323)) % 33.81/55.30 (define @t614 () (not @t613)) % 33.81/55.30 (define @t615 () (and @t614 @t607)) % 33.81/55.30 (define @t616 () (= @t337 @t615)) % 33.81/55.30 (define @t617 () (or @t340 @t342 @t616)) % 33.81/55.30 (define @t618 () (not @t615)) % 33.81/55.30 (define @t619 () (@list @t615)) % 33.81/55.30 (define @t620 () (not @t607)) % 33.81/55.30 (define @t621 () (not @t571)) % 33.81/55.30 (define @t622 () (or @t342 @t340 @t621 @t620 @t613)) % 33.81/55.30 (define @t623 () (not @t469)) % 33.81/55.30 (define @t624 () (not @t463)) % 33.81/55.30 (define @t625 () (not @t426)) % 33.81/55.30 (define @t626 () (not @t402)) % 33.81/55.30 (define @t627 () (not @t355)) % 33.81/55.30 (define @t628 () (not @t351)) % 33.81/55.30 (define @t629 () (and @t574 @t573)) % 33.81/55.30 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 33.81/55.30 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 33.81/55.30 (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))))))))))) % 33.81/55.30 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 33.81/55.30 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 33.81/55.30 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 33.81/55.30 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 33.81/55.30 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 33.81/55.30 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 33.81/55.30 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 33.81/55.30 (assume @p11 @t52) % 33.81/55.30 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t37))))))))))))))) % 33.81/55.30 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 33.81/55.30 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 33.81/55.30 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 33.81/55.30 (assume @p16 @t58) % 33.81/55.30 (assume @p17 @t59) % 33.81/55.30 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 33.81/55.30 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t60))))))))))) % 33.81/55.30 (assume @p20 (forall @t9 (=> @t17 (or @t62 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t61 @t2))))))))) % 33.81/55.30 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 33.81/55.30 (assume @p22 (forall @t9 (=> @t17 (=> @t64 (tptp.ssItem @t63))))) % 33.81/55.30 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 33.81/55.30 (assume @p24 (forall @t9 (=> @t17 (=> @t64 (tptp.ssList @t65))))) % 33.81/55.30 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 33.81/55.30 (assume @p26 @t70) % 33.81/55.30 (assume @p27 @t77) % 33.81/55.30 (assume @p28 @t80) % 33.81/55.30 (assume @p29 @t87) % 33.81/55.30 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t26) (tptp.leq @t2 @t12))))))))) % 33.81/55.30 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 33.81/55.30 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t88 @t81)))))) % 33.81/55.30 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t90 (not @t89))))))) % 33.81/55.30 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t90 @t37) @t91)))))))) % 33.81/55.30 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t92 @t89)))))) % 33.81/55.30 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t93))))))))) % 33.81/55.30 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t93))))))))) % 33.81/55.30 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 33.81/55.30 (assume @p39 (not (tptp.singletonP tptp.nil))) % 33.81/55.30 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 33.81/55.30 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 33.81/55.30 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 33.81/55.30 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 33.81/55.30 (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)))))))))))) % 33.81/55.30 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 33.81/55.30 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t62)))) % 33.81/55.30 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 33.81/55.30 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 33.81/55.30 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 33.81/55.30 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t94 @t1))))))))) % 33.81/55.30 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 33.81/55.30 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t62)))) % 33.81/55.30 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 @t95) (tptp.segmentP @t2 @t12))))))))) % 33.81/55.30 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t96) @t3)))))) % 33.81/55.30 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 33.81/55.30 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t94 @t10) @t1))))))))))) % 33.81/55.30 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 33.81/55.30 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t62)))) % 33.81/55.30 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t97)))) % 33.81/55.30 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 33.81/55.30 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t97)))) % 33.81/55.30 (assume @p62 (tptp.totalorderP tptp.nil)) % 33.81/55.30 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t97)))) % 33.81/55.30 (assume @p64 (tptp.strictorderP tptp.nil)) % 33.81/55.30 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t97)))) % 33.81/55.30 (assume @p66 (tptp.totalorderedP tptp.nil)) % 33.81/55.30 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t101) (or @t99 (and @t100 (tptp.totalorderedP @t1) (tptp.leq @t2 @t98))))))))) % 33.81/55.30 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t97)))) % 33.81/55.30 (assume @p69 (tptp.strictorderedP tptp.nil)) % 33.81/55.30 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t101) (or @t99 (and @t100 (tptp.strictorderedP @t1) (tptp.lt @t2 @t98))))))))) % 33.81/55.30 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t97)))) % 33.81/55.30 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 33.81/55.30 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t97)))) % 33.81/55.30 (assume @p74 (tptp.equalelemsP tptp.nil)) % 33.81/55.30 (assume @p75 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t6 (= @t63 @t1))))))) % 33.81/55.30 (assume @p76 (forall @t9 (=> @t17 (=> @t64 (exists @t7 (and @t21 (= @t65 @t1))))))) % 33.81/55.30 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t100 @t64 (= @t98 @t63) (= (tptp.tl @t1) @t65)) @t60)))))) % 33.81/55.30 (assume @p78 (forall @t9 (=> @t17 (=> @t64 (= (tptp.cons @t63 @t65) @t2))))) % 33.81/55.30 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t102)))))))) % 33.81/55.30 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t71) @t102)))))))) % 33.81/55.30 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 33.81/55.30 (assume @p82 @t108) % 33.81/55.30 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t99 @t62))))))) % 33.81/55.30 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 33.81/55.30 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.hd @t66) @t63))))))) % 33.81/55.30 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t64 (= (tptp.tl @t66) (tptp.app @t65 @t1)))))))) % 33.81/55.30 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 (tptp.geq @t1 @t2)) @t3)))))) % 33.81/55.30 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t88 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 33.81/55.30 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 33.81/55.30 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 33.81/55.30 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t82 @t37) @t91)))))))) % 33.81/55.30 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t82 (or @t3 @t90))))))) % 33.81/55.30 (assume @p93 @t112) % 33.81/55.30 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t92 (not (tptp.gt @t1 @t2)))))))) % 33.81/55.30 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t92 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 33.81/55.30 (assume @p96 @t155) % 33.81/55.30 (assume @p97 true) % 33.81/55.30 (step @p98 :rule bool-impl-elim :args (@t17 @t156)) % 33.81/55.30 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t156)))) % 33.81/55.30 (step @p100 :rule eq-symm :args (@t78 @t2)) % 33.81/55.30 (step @p101 :rule refl :args (@t17)) % 33.81/55.30 (step @p102 :rule cong :premises (@p101 @p100) :args (@t79)) % 33.81/55.30 (step @p103 :rule cong :premises (@p102) :args (@t80)) % 33.81/55.30 (step @p104 :rule trans :premises (@p103 @p99)) % 33.81/55.30 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 33.81/55.30 (step @p106 :rule instantiate 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(step @p149 :rule trans :premises (@p148 @p137)) % 33.81/55.30 (step @p150 :rule aci_norm :args ((= (or @t183 @t218) @t217))) % 33.81/55.30 (step @p151 :rule bool-impl-elim :args (@t17 @t218)) % 33.81/55.30 (step @p152 :rule trans :premises (@p151 @p150)) % 33.81/55.30 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 (=> @t17 @t218)))) % 33.81/55.30 (step @p154 :rule trans :premises (@p153 @p149)) % 33.81/55.30 (step @p155 :rule quant-miniscope-or :args ((= (forall @t7 @t219) @t218))) % 33.81/55.30 (step @p156 :rule aci_norm :args ((= @t220 @t219))) % 33.81/55.30 (step @p157 :rule cong :premises (@p156) :args ((forall @t7 @t220))) % 33.81/55.30 (step @p158 :rule trans :premises (@p157 @p155)) % 33.81/55.30 (step @p159 :rule aci_norm :args ((= (or @t204 @t221) @t220))) % 33.81/55.30 (step @p160 :rule bool-impl-elim :args (@t21 @t221)) % 33.81/55.30 (step @p161 :rule trans :premises (@p160 @p159)) % 33.81/55.30 (step @p162 :rule cong :premises (@p161) :args ((forall @t7 (=> 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33.81/55.30 (step @p235 :rule aci_norm :args ((= @t246 @t214))) % 33.81/55.30 (step @p236 :rule cong :premises (@p235) :args (@t247)) % 33.81/55.30 (step @p237 :rule quant-merge-prenex :args ((= (forall @t35 @t249) @t247))) % 33.81/55.30 (step @p238 :rule alpha_equiv :args (@t250 (@list @t201 @t200 @t199 @t198) (@list @t27 @t253 @t252 @t251))) % 33.81/55.30 (step @p239 :rule refl :args (@t213)) % 33.81/55.30 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t254)) % 33.81/55.30 (step @p241 :rule quant-miniscope-or :args ((= @t249 @t254))) % 33.81/55.30 (step @p242 :rule trans :premises (@p241 @p240)) % 33.81/55.30 (step @p243 :rule symm :premises (@p242)) % 33.81/55.30 (step @p244 :rule cong :premises (@p243) :args ((forall @t35 (or @t213 @t262)))) % 33.81/55.30 (step @p245 :rule trans :premises (@p244 @p237)) % 33.81/55.30 (step @p246 :rule trans :premises (@p245 @p236)) % 33.81/55.30 (step @p247 :rule bool-impl-elim :args (@t139 @t262)) % 33.81/55.30 (step @p248 :rule cong 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@t347))) % 33.81/55.30 (step @p735 :rule chain_m_resolution :premises (@p734 @p367) :args (@t343 @t348 @t349)) % 33.81/55.30 (step @p736 :rule cnf_equiv_pos1 :args (@t567)) % 33.81/55.30 (step @p737 :rule reordering :premises (@p736) :args ((or @t344 @t566 (not @t567)))) % 33.81/55.30 (step @p738 :rule chain_m_resolution :premises (@p737 @p735 @p729) :args (@t566 @t353 (@list @t343 @t567))) % 33.81/55.30 (step @p739 :rule eq-symm :args (@t569 @t330)) % 33.81/55.30 (step @p740 :rule cong :premises (@p739) :args (@t570)) % 33.81/55.30 (step @p741 :rule refl :args (@t336)) % 33.81/55.30 (step @p742 :rule refl :args (@t571)) % 33.81/55.30 (step @p743 :rule nary_cong :premises (@p546 @p563 @p742 @p741 @p548 @p564 @p740) :args (@t572)) % 33.81/55.30 (step @p744 :rule refl :args (@t566)) % 33.81/55.30 (step @p745 :rule cong :premises (@p744 @p743) :args ((=> @t566 @t572))) % 33.81/55.30 (assume-push @p908 @t566) % 33.81/55.30 (step @p747 :rule instantiate :premises (@p738) :args ((@list @t325 @t323 @t327 @t177 @t322))) % 33.81/55.30 (step-pop @p909 :rule scope :premises (@p747)) % 33.81/55.30 (step @p748 :rule process_scope :premises (@p909) :args (@t572)) % 33.81/55.30 (step @p750 :rule eq_resolve :premises (@p748 @p745)) % 33.81/55.30 (step @p751 :rule implies_elim :premises (@p750)) % 33.81/55.30 (step @p752 :rule chain_m_resolution :premises (@p751 @p738) :args (@t575 @t465 (@list @t566))) % 33.81/55.30 (step @p753 :rule aci_norm :args ((= @t583 (or @t581 @t580 @t579 @t578 @t577)))) % 33.81/55.30 (step @p754 :rule cong :premises (@p753) :args (@t584)) % 33.81/55.30 (step @p755 :rule quant-merge-prenex :args ((= (forall @t9 @t586) @t584))) % 33.81/55.30 (step @p756 :rule alpha_equiv :args (@t587 (@list @t576) @t196)) % 33.81/55.30 (step @p757 :rule refl :args (@t581)) % 33.81/55.30 (step @p758 :rule nary_cong :premises (@p757 @p756) :args (@t588)) % 33.81/55.30 (step @p759 :rule quant-miniscope-or :args ((= @t586 @t588))) % 33.81/55.30 (step @p760 :rule trans :premises (@p759 @p758)) % 33.81/55.30 (step @p761 :rule symm :premises (@p760)) % 33.81/55.30 (step @p762 :rule cong :premises (@p761) :args ((forall @t9 (or @t581 @t592)))) % 33.81/55.30 (step @p763 :rule trans :premises (@p762 @p755)) % 33.81/55.30 (step @p764 :rule trans :premises (@p763 @p754)) % 33.81/55.30 (step @p765 :rule bool-impl-elim :args (@t8 @t592)) % 33.81/55.30 (step @p766 :rule cong :premises (@p765) :args ((forall @t9 (=> @t8 @t592)))) % 33.81/55.30 (step @p767 :rule trans :premises (@p766 @p764)) % 33.81/55.30 (step @p768 :rule aci_norm :args ((= (or @t394 @t593) @t591))) % 33.81/55.30 (step @p769 :rule aci_norm :args ((= (or (or @t590 @t589) @t3) @t593))) % 33.81/55.30 (step @p770 :rule refl :args (@t3)) % 33.81/55.30 (step @p771 :rule bool-and-de-morgan :args (@t82 @t81 true)) % 33.81/55.30 (step @p772 :rule nary_cong :premises (@p771 @p770) :args ((or (not @t83) @t3))) % 33.81/55.30 (step @p773 :rule trans :premises (@p772 @p769)) % 33.81/55.30 (step @p774 :rule bool-impl-elim :args (@t83 @t3)) % 33.81/55.30 (step @p775 :rule trans :premises (@p774 @p773)) % 33.81/55.30 (step @p776 :rule nary_cong :premises (@p583 @p775) :args ((or @t394 @t84))) % 33.81/55.30 (step @p777 :rule trans :premises (@p776 @p768)) % 33.81/55.30 (step @p778 :rule bool-impl-elim :args (@t6 @t84)) % 33.81/55.30 (step @p779 :rule trans :premises (@p778 @p777)) % 33.81/55.30 (step @p780 :rule cong :premises (@p779) :args (@t85)) % 33.81/55.30 (step @p781 :rule refl :args (@t8)) % 33.81/55.30 (step @p782 :rule cong :premises (@p781 @p780) :args (@t86)) % 33.81/55.30 (step @p783 :rule cong :premises (@p782) :args (@t87)) % 33.81/55.30 (step @p784 :rule trans :premises (@p783 @p767)) % 33.81/55.30 (step @p785 :rule eq_resolve :premises (@p29 @p784)) % 33.81/55.30 (step @p786 :rule instantiate :premises (@p785) :args ((@list @t325 @t323))) % 33.81/55.30 (step @p787 :rule aci_norm :args ((= @t599 @t597))) % 33.81/55.30 (step @p788 :rule cong :premises (@p787) :args (@t601)) % 33.81/55.30 (step @p789 :rule quant-merge-prenex :args ((= (forall @t9 @t603) @t601))) % 33.81/55.30 (step @p790 :rule alpha_equiv :args (@t604 (@list @t594) @t196)) % 33.81/55.30 (step @p791 :rule nary_cong :premises (@p757 @p790) :args (@t605)) % 33.81/55.30 (step @p792 :rule quant-miniscope-or :args ((= @t603 @t605))) % 33.81/55.30 (step @p793 :rule trans :premises (@p792 @p791)) % 33.81/55.30 (step @p794 :rule symm :premises (@p793)) % 33.81/55.30 (step @p795 :rule cong :premises (@p794) :args ((forall @t9 (or @t581 @t606)))) % 33.81/55.30 (step @p796 :rule trans :premises (@p795 @p789)) % 33.81/55.30 (step @p797 :rule trans :premises (@p796 @p788)) % 33.81/55.30 (step @p798 :rule bool-impl-elim :args (@t8 @t606)) % 33.81/55.30 (step @p799 :rule cong :premises (@p798) :args ((forall @t9 (=> @t8 @t606)))) % 33.81/55.30 (step @p800 :rule trans :premises (@p799 @p797)) % 33.81/55.30 (step @p801 :rule bool-impl-elim :args (@t6 @t109)) % 33.81/55.30 (step @p802 :rule cong :premises (@p801) :args (@t110)) % 33.81/55.30 (step @p803 :rule cong :premises (@p781 @p802) :args (@t111)) % 33.81/55.30 (step @p804 :rule cong :premises (@p803) :args (@t112)) % 33.81/55.30 (step @p805 :rule trans :premises (@p804 @p800)) % 33.81/55.30 (step @p806 :rule eq_resolve :premises (@p93 @p805)) % 33.81/55.30 (step @p807 :rule refl :args (@t607)) % 33.81/55.30 (step @p808 :rule eq-symm :args (@t323 @t325)) % 33.81/55.30 (step @p809 :rule cong :premises (@p808) :args (@t608)) % 33.81/55.30 (step @p810 :rule nary_cong :premises (@p809 @p807) :args (@t609)) % 33.81/55.30 (step @p811 :rule refl :args (@t337)) % 33.81/55.30 (step @p812 :rule cong :premises (@p811 @p810) :args (@t610)) % 33.81/55.30 (step @p813 :rule nary_cong :premises (@p563 @p546 @p812) :args (@t611)) % 33.81/55.30 (step @p814 :rule refl :args (@t612)) % 33.81/55.30 (step @p815 :rule cong :premises (@p814 @p813) :args ((=> @t612 @t611))) % 33.81/55.30 (assume-push @p910 @t612) % 33.81/55.30 (step @p817 :rule instantiate :premises (@p806) :args ((@list @t323 @t325))) % 33.81/55.30 (step-pop @p911 :rule scope :premises (@p817)) % 33.81/55.30 (step @p818 :rule process_scope :premises (@p911) :args (@t611)) % 33.81/55.30 (step @p820 :rule eq_resolve :premises (@p818 @p815)) % 33.81/55.30 (step @p821 :rule implies_elim :premises (@p820)) % 33.81/55.30 (step @p822 :rule chain_m_resolution :premises (@p821 @p806) :args (@t617 @t465 (@list @t612))) % 33.81/55.30 (step @p823 :rule cnf_or_pos :args (@t617)) % 33.81/55.30 (step @p824 :rule reordering :premises (@p823) :args ((or @t342 @t340 @t616 (not @t617)))) % 33.81/55.30 (step @p825 :rule chain_m_resolution :premises (@p824 @p453 @p473 @p822) :args (@t616 @t399 (@list @t341 @t339 @t617))) % 33.81/55.30 (step @p826 :rule bool-double-not-elim :args (@t337)) % 33.81/55.30 (step @p827 :rule nary_cong :premises (@p369 @p826) :args ((or @t347 (not @t338)))) % 33.81/55.30 (step @p828 :rule cnf_or_neg :args (@t347 4)) % 33.81/55.30 (step @p829 :rule eq_resolve :premises (@p828 @p827)) % 33.81/55.30 (step @p830 :rule reordering :premises (@p829) :args ((or @t337 @t347))) % 33.81/55.30 (step @p831 :rule chain_m_resolution :premises (@p830 @p367) :args (@t337 @t348 @t349)) % 33.81/55.30 (step @p832 :rule cnf_equiv_pos1 :args (@t616)) % 33.81/55.30 (step @p833 :rule reordering :premises (@p832) :args ((or @t338 @t615 (not @t616)))) % 33.81/55.30 (step @p834 :rule chain_m_resolution :premises (@p833 @p831 @p825) :args (@t615 @t353 (@list @t337 @t616))) % 33.81/55.30 (step @p835 :rule cnf_and_pos :args (@t615 1)) % 33.81/55.30 (step @p836 :rule reordering :premises (@p835) :args ((or @t607 @t618))) % 33.81/55.30 (step @p837 :rule chain_m_resolution :premises (@p836 @p834) :args (@t607 @t465 @t619)) % 33.81/55.30 (step @p838 :rule cnf_and_pos :args (@t615 0)) % 33.81/55.30 (step @p839 :rule reordering :premises (@p838) :args ((or @t614 @t618))) % 33.81/55.30 (step @p840 :rule chain_m_resolution :premises (@p839 @p834) :args (@t614 @t465 @t619)) % 33.81/55.30 (step @p841 :rule cnf_or_pos :args (@t622)) % 33.81/55.30 (step @p842 :rule reordering :premises (@p841) :args ((or @t342 @t340 @t613 @t621 @t620 (not @t622)))) % 33.81/55.30 (step @p843 :rule chain_m_resolution :premises (@p842 @p453 @p473 @p840 @p837 @p786) :args (@t621 (@list false false true false false) (@list @t341 @t339 @t613 @t607 @t622))) % 33.81/55.30 (step @p844 :rule cnf_or_pos :args (@t575)) % 33.81/55.30 (step @p845 :rule reordering :premises (@p844) :args ((or @t342 @t340 @t336 @t334 @t333 @t571 @t574 (not @t575)))) % 33.81/55.30 (step @p846 :rule chain_m_resolution :premises (@p845 @p453 @p473 @p462 @p374 @p384 @p843 @p752) :args (@t574 (@list false false false false false true false) (@list @t341 @t339 @t335 @t321 @t332 @t571 @t575))) % 33.81/55.30 (step @p847 :rule bool-double-not-elim :args (@t573)) % 33.81/55.30 (step @p848 :rule refl :args (@t623)) % 33.81/55.30 (step @p849 :rule refl :args (@t624)) % 33.81/55.30 (step @p850 :rule refl :args (@t625)) % 33.81/55.30 (step @p851 :rule refl :args (@t626)) % 33.81/55.30 (step @p852 :rule refl :args (@t627)) % 33.81/55.30 (step @p853 :rule refl :args (@t628)) % 33.81/55.30 (step @p854 :rule nary_cong :premises (@p853 @p852 @p851 @p850 @p849 @p848 @p847) :args ((or @t628 @t627 @t626 @t625 @t624 @t623 (not @t574)))) % 33.81/55.30 (assume-push @p912 @t574) % 33.81/55.30 (assume-push @p913 @t573) % 33.81/55.30 (step @p857 :rule evaluate :args ((= true false))) % 33.81/55.30 (step @p858 :rule false_intro :premises (@p846)) % 33.81/55.30 (step @p859 :rule symm :premises (@p387)) % 33.81/55.30 (step @p860 :rule refl :args (@t323)) % 33.81/55.30 (step @p861 :rule cong :premises (@p860 @p859) :args (@t467)) % 33.81/55.30 (step @p862 :rule trans :premises (@p576 @p861)) % 33.81/55.30 (step @p863 :rule symm :premises (@p377)) % 33.81/55.30 (step @p864 :rule refl :args (@t325)) % 33.81/55.30 (step @p865 :rule cong :premises (@p864 @p863) :args (@t460)) % 33.81/55.30 (step @p866 :rule trans :premises (@p561 @p865)) % 33.81/55.30 (step @p867 :rule refl :args (@t327)) % 33.81/55.30 (step @p868 :rule cong :premises (@p867 @p866) :args (@t401)) % 33.81/55.30 (step @p869 :rule trans :premises (@p465 @p868)) % 33.81/55.30 (step @p870 :rule cong :premises (@p869 @p862) :args (@t425)) % 33.81/55.30 (step @p871 :rule chain_m_resolution :premises (@p506 @p384 @p504 @p476 @p466) :args (@t426 @t405 @t430)) % 33.81/55.30 (step @p872 :rule trans :premises (@p871 @p870)) % 33.81/55.30 (step @p873 :rule true_intro :premises (@p872)) % 33.81/55.30 (step @p874 :rule symm :premises (@p873)) % 33.81/55.30 (step @p875 :rule trans :premises (@p874 @p858)) % 33.81/55.30 (step @p876 false :rule eq_resolve :premises (@p875 @p857)) % 33.81/55.30 (step-pop @p914 :rule scope :premises (@p876)) % 33.81/55.30 (step-pop @p915 :rule scope :premises (@p914)) % 33.81/55.30 (step @p877 :rule process_scope :premises (@p915) :args (false)) % 33.81/55.30 (assume-push @p916 @t351) % 33.81/55.30 (assume-push @p917 @t355) % 33.81/55.30 (assume-push @p918 @t402) % 33.81/55.30 (assume-push @p919 @t426) % 33.81/55.30 (assume-push @p920 @t463) % 33.81/55.30 (assume-push @p921 @t469) % 33.81/55.30 (assume-push @p922 @t574) % 33.81/55.30 (step @p859 :rule symm :premises (@p387)) % 33.81/55.30 (step @p860 :rule refl :args (@t323)) % 33.81/55.30 (step @p861 :rule cong :premises (@p860 @p859) :args (@t467)) % 33.81/55.30 (step @p862 :rule trans :premises (@p576 @p861)) % 33.81/55.30 (step @p863 :rule symm :premises (@p377)) % 33.81/55.30 (step @p864 :rule refl :args (@t325)) % 33.81/55.30 (step @p865 :rule cong :premises (@p864 @p863) :args (@t460)) % 33.81/55.30 (step @p866 :rule trans :premises (@p561 @p865)) % 33.81/55.30 (step @p867 :rule refl :args (@t327)) % 33.81/55.30 (step @p868 :rule cong :premises (@p867 @p866) :args (@t401)) % 33.81/55.30 (step @p869 :rule trans :premises (@p465 @p868)) % 33.81/55.30 (step @p870 :rule cong :premises (@p869 @p862) :args (@t425)) % 33.81/55.30 (step @p887 :rule trans :premises (@p507 @p870)) % 33.81/55.30 (step @p888 :rule and_intro :premises (@p846 @p887)) % 33.81/55.30 (step-pop @p923 :rule scope :premises (@p888)) % 33.81/55.30 (step-pop @p924 :rule scope :premises (@p923)) % 33.81/55.30 (step-pop @p925 :rule scope :premises (@p924)) % 33.81/55.30 (step-pop @p926 :rule scope :premises (@p925)) % 33.81/55.30 (step-pop @p927 :rule scope :premises (@p926)) % 33.81/55.30 (step-pop @p928 :rule scope :premises (@p927)) % 33.81/55.30 (step-pop @p929 :rule scope :premises (@p928)) % 33.81/55.30 (step @p889 :rule process_scope :premises (@p929) :args (@t629)) % 33.81/55.30 (step @p897 :rule implies_elim :premises (@p889)) % 33.81/55.30 (step @p898 :rule resolution :premises (@p897 @p877) :args (true @t629)) % 33.81/55.30 (step @p899 :rule not_and :premises (@p898)) % 33.81/55.30 (step @p900 :rule eq_resolve :premises (@p899 @p854)) % 33.81/55.30 (step @p901 false :rule chain_m_resolution :premises (@p900 @p846 @p576 @p561 @p507 @p465 @p387 @p377) :args (false (@list true false false false false false false) (@list @t573 @t469 @t463 @t426 @t402 @t355 @t351))) % 33.81/55.30 ) % 33.81/55.30 % SZS output end Proof % 33.81/55.30 % cvc5 exiting %------------------------------------------------------------------------------