%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC002+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:39 AM UTC 2026 % Result : Theorem 0.37s 0.76s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC002+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:08:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.76 % SZS status Theorem % 0.37/0.76 % SZS output start Proof % 0.37/0.76 ( % 0.37/0.76 (declare-sort $$unsorted 0) % 0.37/0.76 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.nil $$unsorted) % 0.37/0.76 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.76 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.76 (define @t3 () (= @t2 @t1)) % 0.37/0.76 (define @t4 () (not @t3)) % 0.37/0.76 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.76 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.76 (define @t7 () (@list @t1)) % 0.37/0.76 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.76 (define @t9 () (@list @t2)) % 0.37/0.76 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.76 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.76 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.76 (define @t13 () (tptp.ssList @t10)) % 0.37/0.76 (define @t14 () (@list @t10)) % 0.37/0.76 (define @t15 () (tptp.ssList @t12)) % 0.37/0.76 (define @t16 () (@list @t12)) % 0.37/0.76 (define @t17 () (tptp.ssList @t2)) % 0.37/0.76 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.76 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.76 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.76 (define @t21 () (tptp.ssList @t1)) % 0.37/0.76 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.76 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.76 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.76 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.76 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.76 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.76 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.76 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.76 (define @t30 () (tptp.ssList @t27)) % 0.37/0.76 (define @t31 () (@list @t27)) % 0.37/0.76 (define @t32 () (tptp.ssList @t28)) % 0.37/0.76 (define @t33 () (@list @t28)) % 0.37/0.76 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.76 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.76 (define @t36 () (= @t1 @t12)) % 0.37/0.76 (define @t37 () (tptp.cons @t1 @t2)) % 0.37/0.76 (define @t38 () (= @t1 @t2)) % 0.37/0.76 (define @t39 () (tptp.cons @t12 @t1)) % 0.37/0.76 (define @t40 () (= tptp.nil @t2)) % 0.37/0.76 (define @t41 () (tptp.hd @t2)) % 0.37/0.76 (define @t42 () (not @t40)) % 0.37/0.76 (define @t43 () (tptp.tl @t2)) % 0.37/0.76 (define @t44 () (tptp.app @t2 @t1)) % 0.37/0.76 (define @t45 () (tptp.app @t1 @t2)) % 0.37/0.76 (define @t46 () (tptp.leq @t1 @t2)) % 0.37/0.76 (define @t47 () (tptp.leq @t2 @t1)) % 0.37/0.76 (define @t48 () (tptp.geq @t2 @t1)) % 0.37/0.76 (define @t49 () (tptp.lt @t1 @t2)) % 0.37/0.76 (define @t50 () (tptp.lt @t2 @t1)) % 0.37/0.76 (define @t51 () (tptp.lt @t2 @t12)) % 0.37/0.76 (define @t52 () (tptp.gt @t2 @t1)) % 0.37/0.76 (define @t53 () (tptp.memberP @t12 @t2)) % 0.37/0.76 (define @t54 () (tptp.app @t12 @t2)) % 0.37/0.76 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.37/0.76 (define @t56 () (tptp.hd @t1)) % 0.37/0.76 (define @t57 () (= tptp.nil @t1)) % 0.37/0.76 (define @t58 () (not @t57)) % 0.37/0.76 (define @t59 () (tptp.cons @t2 @t1)) % 0.37/0.76 (define @t60 () (= @t12 @t2)) % 0.37/0.76 (define @t61 () (tptp.neq @t1 tptp.nil)) % 0.37/0.76 (define @t62 () (not @t61)) % 0.37/0.76 (define @t63 () (or @t62 (tptp.neq @t10 tptp.nil))) % 0.37/0.76 (define @t64 () (@var "X3" $$unsorted)) % 0.37/0.76 (define @t65 () (@var "X6" $$unsorted)) % 0.37/0.76 (define @t66 () (tptp.geq @t65 @t64)) % 0.37/0.76 (define @t67 () (tptp.memberP @t10 @t65)) % 0.37/0.76 (define @t68 () (= @t64 @t65)) % 0.37/0.76 (define @t69 () (not @t68)) % 0.37/0.76 (define @t70 () (tptp.ssItem @t65)) % 0.37/0.76 (define @t71 () (and @t70 @t69 @t67 @t66)) % 0.37/0.76 (define @t72 () (@list @t65)) % 0.37/0.76 (define @t73 () (exists @t72 @t71)) % 0.37/0.76 (define @t74 () (@var "X5" $$unsorted)) % 0.37/0.76 (define @t75 () (@var "X4" $$unsorted)) % 0.37/0.76 (define @t76 () (tptp.app @t75 @t74)) % 0.37/0.76 (define @t77 () (not (= @t76 @t12))) % 0.37/0.76 (define @t78 () (tptp.cons @t64 tptp.nil)) % 0.37/0.76 (define @t79 () (tptp.app @t75 @t78)) % 0.37/0.76 (define @t80 () (tptp.app @t79 @t74)) % 0.37/0.76 (define @t81 () (not (= @t80 @t10))) % 0.37/0.76 (define @t82 () (or @t81 @t77 @t73)) % 0.37/0.76 (define @t83 () (tptp.ssList @t74)) % 0.37/0.76 (define @t84 () (=> @t83 @t82)) % 0.37/0.76 (define @t85 () (@list @t74)) % 0.37/0.76 (define @t86 () (forall @t85 @t84)) % 0.37/0.76 (define @t87 () (tptp.ssList @t75)) % 0.37/0.76 (define @t88 () (=> @t87 @t86)) % 0.37/0.76 (define @t89 () (@list @t75)) % 0.37/0.76 (define @t90 () (forall @t89 @t88)) % 0.37/0.76 (define @t91 () (tptp.ssItem @t64)) % 0.37/0.76 (define @t92 () (=> @t91 @t90)) % 0.37/0.76 (define @t93 () (@list @t64)) % 0.37/0.76 (define @t94 () (forall @t93 @t92)) % 0.37/0.76 (define @t95 () (@var "X2" $$unsorted)) % 0.37/0.76 (define @t96 () (= @t28 @t95)) % 0.37/0.76 (define @t97 () (not (tptp.geq @t95 @t28))) % 0.37/0.76 (define @t98 () (not (tptp.memberP @t1 @t95))) % 0.37/0.76 (define @t99 () (or @t98 @t97 @t96)) % 0.37/0.76 (define @t100 () (tptp.ssItem @t95)) % 0.37/0.76 (define @t101 () (@list @t95)) % 0.37/0.76 (define @t102 () (forall @t101 (=> @t100 @t99))) % 0.37/0.76 (define @t103 () (@var "X1" $$unsorted)) % 0.37/0.76 (define @t104 () (tptp.app @t27 @t103)) % 0.37/0.76 (define @t105 () (tptp.cons @t28 tptp.nil)) % 0.37/0.76 (define @t106 () (tptp.app @t27 @t105)) % 0.37/0.76 (define @t107 () (tptp.app @t106 @t103)) % 0.37/0.76 (define @t108 () (tptp.ssList @t103)) % 0.37/0.76 (define @t109 () (and @t108 (= @t107 @t1) (= @t104 @t2) @t102)) % 0.37/0.76 (define @t110 () (@list @t103)) % 0.37/0.76 (define @t111 () (exists @t110 @t109)) % 0.37/0.76 (define @t112 () (and @t30 @t111)) % 0.37/0.76 (define @t113 () (exists @t31 @t112)) % 0.37/0.76 (define @t114 () (tptp.ssItem @t28)) % 0.37/0.76 (define @t115 () (and @t114 @t113)) % 0.37/0.76 (define @t116 () (exists @t33 @t115)) % 0.37/0.76 (define @t117 () (or @t62 @t116 @t94)) % 0.37/0.76 (define @t118 () (and @t117 @t63)) % 0.37/0.76 (define @t119 () (not (= @t2 @t12))) % 0.37/0.76 (define @t120 () (not (= @t1 @t10))) % 0.37/0.76 (define @t121 () (or @t120 @t119 @t118)) % 0.37/0.76 (define @t122 () (=> @t13 @t121)) % 0.37/0.76 (define @t123 () (forall @t14 @t122)) % 0.37/0.76 (define @t124 () (=> @t15 @t123)) % 0.37/0.76 (define @t125 () (forall @t16 @t124)) % 0.37/0.76 (define @t126 () (=> @t21 @t125)) % 0.37/0.76 (define @t127 () (forall @t7 @t126)) % 0.37/0.76 (define @t128 () (=> @t17 @t127)) % 0.37/0.76 (define @t129 () (forall @t9 @t128)) % 0.37/0.76 (define @t130 () (not @t129)) % 0.37/0.76 (define @t131 () (@var "BOUND_VARIABLE_11337" $$unsorted)) % 0.37/0.76 (define @t132 () (not (tptp.ssList @t131))) % 0.37/0.76 (define @t133 () (@var "BOUND_VARIABLE_11335" $$unsorted)) % 0.37/0.76 (define @t134 () (not (tptp.ssList @t133))) % 0.37/0.76 (define @t135 () (@var "BOUND_VARIABLE_11333" $$unsorted)) % 0.37/0.76 (define @t136 () (tptp.app (tptp.app @t133 (tptp.cons @t135 tptp.nil)) @t131)) % 0.37/0.76 (define @t137 () (not @t70)) % 0.37/0.76 (define @t138 () (not (forall @t72 (or @t137 (= @t65 @t135) (not (tptp.memberP @t136 @t65)) (not (tptp.geq @t65 @t135)))))) % 0.37/0.76 (define @t139 () (not (tptp.ssItem @t135))) % 0.37/0.76 (define @t140 () (tptp.app @t133 @t131)) % 0.37/0.76 (define @t141 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 0.37/0.76 (define @t142 () (@var "BOUND_VARIABLE_11032" $$unsorted)) % 0.37/0.76 (define @t143 () (tptp.app @t142 @t141)) % 0.37/0.76 (define @t144 () (tptp.app (tptp.app @t142 @t105) @t141)) % 0.37/0.76 (define @t145 () (not (= @t144 @t136))) % 0.37/0.76 (define @t146 () (not (tptp.ssList @t141))) % 0.37/0.76 (define @t147 () (not (tptp.ssList @t142))) % 0.37/0.76 (define @t148 () (not @t100)) % 0.37/0.76 (define @t149 () (not (forall @t101 (or @t148 (not (tptp.memberP @t136 @t95)) @t97 @t96)))) % 0.37/0.76 (define @t150 () (not @t114)) % 0.37/0.76 (define @t151 () (@list @t28 @t142 @t141)) % 0.37/0.76 (define @t152 () (not (forall @t151 (or @t150 @t149 @t147 @t146 @t145 (not (= @t143 @t140)))))) % 0.37/0.76 (define @t153 () (not (tptp.neq @t136 tptp.nil))) % 0.37/0.76 (define @t154 () (not (tptp.ssList @t136))) % 0.37/0.76 (define @t155 () (not (tptp.ssList @t140))) % 0.37/0.76 (define @t156 () (or @t155 @t154 @t153 @t152 @t139 @t138 @t134 @t132)) % 0.37/0.76 (define @t157 () (not (= @t140 @t140))) % 0.37/0.76 (define @t158 () (not (= @t140 @t143))) % 0.37/0.76 (define @t159 () (or @t150 @t149 @t147 @t146 @t145 @t158)) % 0.37/0.76 (define @t160 () (forall @t151 @t159)) % 0.37/0.76 (define @t161 () (not @t160)) % 0.37/0.76 (define @t162 () (or @t155 @t154 @t153 @t161 @t139 @t138 @t134 @t132 @t157)) % 0.37/0.76 (define @t163 () (@list @t135 @t133 @t131)) % 0.37/0.76 (define @t164 () (not (= @t2 @t140))) % 0.37/0.76 (define @t165 () (not (= @t2 @t143))) % 0.37/0.76 (define @t166 () (not (forall @t151 (or @t150 @t149 @t147 @t146 @t145 @t165)))) % 0.37/0.76 (define @t167 () (not @t17)) % 0.37/0.76 (define @t168 () (or @t164 @t167 @t154 @t153 @t166 @t139 @t138 @t134 @t132 @t164)) % 0.37/0.76 (define @t169 () (or @t167 @t154 @t153 @t166 @t139 @t138 @t134 @t132 @t164)) % 0.37/0.76 (define @t170 () (forall @t9 @t169)) % 0.37/0.76 (define @t171 () (forall @t163 @t170)) % 0.37/0.76 (define @t172 () (forall (@list @t135 @t133 @t131 @t2) @t169)) % 0.37/0.76 (define @t173 () (@list @t2 @t135 @t133 @t131)) % 0.37/0.76 (define @t174 () (or @t154 @t153 @t166 @t139 @t138 @t134 @t132 @t164)) % 0.37/0.76 (define @t175 () (or @t167 @t174)) % 0.37/0.76 (define @t176 () (forall @t173 @t175)) % 0.37/0.76 (define @t177 () (forall @t163 @t175)) % 0.37/0.76 (define @t178 () (forall @t163 @t174)) % 0.37/0.76 (define @t179 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 0.37/0.76 (define @t180 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 0.37/0.76 (define @t181 () (@var "BOUND_VARIABLE_11265" $$unsorted)) % 0.37/0.76 (define @t182 () (@list @t181 @t180 @t179)) % 0.37/0.76 (define @t183 () (or @t167 @t178)) % 0.37/0.76 (define @t184 () (not (= @t2 (tptp.app @t180 @t179)))) % 0.37/0.76 (define @t185 () (not (tptp.ssList @t179))) % 0.37/0.76 (define @t186 () (not (tptp.ssList @t180))) % 0.37/0.76 (define @t187 () (not (tptp.geq @t65 @t181))) % 0.37/0.76 (define @t188 () (tptp.app (tptp.app @t180 (tptp.cons @t181 tptp.nil)) @t179)) % 0.37/0.76 (define @t189 () (= @t65 @t181)) % 0.37/0.76 (define @t190 () (not (forall @t72 (or @t137 @t189 (not (tptp.memberP @t188 @t65)) @t187)))) % 0.37/0.76 (define @t191 () (not (tptp.ssItem @t181))) % 0.37/0.76 (define @t192 () (not (forall @t101 (or @t148 (not (tptp.memberP @t188 @t95)) @t97 @t96)))) % 0.37/0.76 (define @t193 () (not (forall @t151 (or @t150 @t192 @t147 @t146 (not (= @t144 @t188)) @t165)))) % 0.37/0.76 (define @t194 () (not (tptp.neq @t188 tptp.nil))) % 0.37/0.76 (define @t195 () (not (tptp.ssList @t188))) % 0.37/0.76 (define @t196 () (or @t195 @t194 @t193 @t191 @t190 @t186 @t185 @t184)) % 0.37/0.76 (define @t197 () (@list @t181 @t180 @t179)) % 0.37/0.76 (define @t198 () (or @t167 (forall @t197 @t196))) % 0.37/0.76 (define @t199 () (not (= @t188 @t188))) % 0.37/0.76 (define @t200 () (not (= @t188 @t144))) % 0.37/0.76 (define @t201 () (or @t150 @t192 @t147 @t146 @t200 @t165)) % 0.37/0.76 (define @t202 () (forall @t151 @t201)) % 0.37/0.76 (define @t203 () (not @t202)) % 0.37/0.76 (define @t204 () (or @t195 @t194 @t203 @t191 @t190 @t186 @t185 @t199 @t184)) % 0.37/0.76 (define @t205 () (not (= @t1 @t188))) % 0.37/0.76 (define @t206 () (not (tptp.memberP @t1 @t65))) % 0.37/0.76 (define @t207 () (not (forall @t72 (or @t137 @t189 @t206 @t187)))) % 0.37/0.76 (define @t208 () (not (= @t1 @t144))) % 0.37/0.76 (define @t209 () (or @t148 @t98 @t97 @t96)) % 0.37/0.76 (define @t210 () (forall @t101 @t209)) % 0.37/0.76 (define @t211 () (not @t210)) % 0.37/0.76 (define @t212 () (or @t150 @t211 @t147 @t146 @t208 @t165)) % 0.37/0.76 (define @t213 () (not (forall @t151 @t212))) % 0.37/0.76 (define @t214 () (not @t21)) % 0.37/0.76 (define @t215 () (or @t205 @t214 @t62 @t213 @t191 @t207 @t186 @t185 @t205 @t184)) % 0.37/0.76 (define @t216 () (or @t214 @t62 @t213 @t191 @t207 @t186 @t185 @t205 @t184)) % 0.37/0.76 (define @t217 () (forall @t7 @t216)) % 0.37/0.76 (define @t218 () (forall @t197 @t217)) % 0.37/0.76 (define @t219 () (forall (@list @t181 @t180 @t179 @t1) @t216)) % 0.37/0.76 (define @t220 () (@list @t1 @t181 @t180 @t179)) % 0.37/0.76 (define @t221 () (or @t191 @t207 @t186 @t185 @t205 @t184)) % 0.37/0.76 (define @t222 () (or @t214 @t62 @t213 @t221)) % 0.37/0.76 (define @t223 () (forall @t220 @t222)) % 0.37/0.76 (define @t224 () (forall @t197 @t222)) % 0.37/0.76 (define @t225 () (forall @t197 @t221)) % 0.37/0.76 (define @t226 () (@var "BOUND_VARIABLE_11216" $$unsorted)) % 0.37/0.76 (define @t227 () (@var "BOUND_VARIABLE_11214" $$unsorted)) % 0.37/0.76 (define @t228 () (@var "BOUND_VARIABLE_11212" $$unsorted)) % 0.37/0.76 (define @t229 () (@list @t228 @t227 @t226)) % 0.37/0.76 (define @t230 () (or @t214 @t62 @t213 @t225)) % 0.37/0.76 (define @t231 () (tptp.app @t227 @t226)) % 0.37/0.76 (define @t232 () (not (= @t2 @t231))) % 0.37/0.76 (define @t233 () (not (= @t1 (tptp.app (tptp.app @t227 (tptp.cons @t228 tptp.nil)) @t226)))) % 0.37/0.76 (define @t234 () (not (tptp.ssList @t226))) % 0.37/0.76 (define @t235 () (not (tptp.ssList @t227))) % 0.37/0.76 (define @t236 () (not (forall @t72 (or @t137 (= @t65 @t228) @t206 (not (tptp.geq @t65 @t228)))))) % 0.37/0.76 (define @t237 () (not (tptp.ssItem @t228))) % 0.37/0.76 (define @t238 () (or @t237 @t236 @t235 @t234 @t233 @t232)) % 0.37/0.76 (define @t239 () (@list @t228 @t227 @t226)) % 0.37/0.76 (define @t240 () (forall @t239 @t238)) % 0.37/0.76 (define @t241 () (or @t214 @t62 @t213 @t240)) % 0.37/0.76 (define @t242 () (forall @t7 @t241)) % 0.37/0.76 (define @t243 () (or @t167 @t242)) % 0.37/0.76 (define @t244 () (or @t167 @t241)) % 0.37/0.76 (define @t245 () (or @t214 @t62 @t213 @t167 @t240)) % 0.37/0.76 (define @t246 () (or @t167 @t240)) % 0.37/0.76 (define @t247 () (or @t167 @t238)) % 0.37/0.76 (define @t248 () (or @t167 @t237 @t236 @t235 @t234 @t233 @t232)) % 0.37/0.76 (define @t249 () (not (= @t2 @t2))) % 0.37/0.76 (define @t250 () (or @t167 @t249 @t237 @t236 @t235 @t234 @t233 @t232)) % 0.37/0.76 (define @t251 () (not (= @t12 @t231))) % 0.37/0.76 (define @t252 () (not @t15)) % 0.37/0.76 (define @t253 () (or @t119 @t252 @t119 @t237 @t236 @t235 @t234 @t233 @t251)) % 0.37/0.76 (define @t254 () (or @t252 @t119 @t237 @t236 @t235 @t234 @t233 @t251)) % 0.37/0.76 (define @t255 () (forall @t16 @t254)) % 0.37/0.76 (define @t256 () (forall @t239 @t255)) % 0.37/0.76 (define @t257 () (forall (@list @t228 @t227 @t226 @t12) @t254)) % 0.37/0.76 (define @t258 () (@list @t12 @t228 @t227 @t226)) % 0.37/0.76 (define @t259 () (or @t237 @t236 @t235 @t234 @t233 @t251)) % 0.37/0.76 (define @t260 () (or @t252 @t119 @t259)) % 0.37/0.76 (define @t261 () (forall @t258 @t260)) % 0.37/0.76 (define @t262 () (forall @t239 @t260)) % 0.37/0.76 (define @t263 () (forall @t239 @t259)) % 0.37/0.76 (define @t264 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 0.37/0.76 (define @t265 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 0.37/0.76 (define @t266 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 0.37/0.76 (define @t267 () (@list @t266 @t265 @t264)) % 0.37/0.76 (define @t268 () (or @t252 @t119 @t263)) % 0.37/0.76 (define @t269 () (not (= @t12 (tptp.app @t265 @t264)))) % 0.37/0.76 (define @t270 () (tptp.app (tptp.app @t265 (tptp.cons @t266 tptp.nil)) @t264)) % 0.37/0.76 (define @t271 () (not (= @t1 @t270))) % 0.37/0.76 (define @t272 () (not (tptp.ssList @t264))) % 0.37/0.76 (define @t273 () (not (tptp.ssList @t265))) % 0.37/0.76 (define @t274 () (not (tptp.geq @t65 @t266))) % 0.37/0.76 (define @t275 () (= @t65 @t266)) % 0.37/0.76 (define @t276 () (not (forall @t72 (or @t137 @t275 @t206 @t274)))) % 0.37/0.76 (define @t277 () (not (tptp.ssItem @t266))) % 0.37/0.76 (define @t278 () (or @t277 @t276 @t273 @t272 @t271 @t269)) % 0.37/0.76 (define @t279 () (@list @t266 @t265 @t264)) % 0.37/0.76 (define @t280 () (forall @t279 @t278)) % 0.37/0.76 (define @t281 () (or @t252 @t119 @t280)) % 0.37/0.76 (define @t282 () (forall @t16 @t281)) % 0.37/0.76 (define @t283 () (or @t214 @t62 @t213 @t282)) % 0.37/0.76 (define @t284 () (or @t214 @t62 @t213 @t281)) % 0.37/0.76 (define @t285 () (or @t252 @t119 @t214 @t62 @t213 @t280)) % 0.37/0.76 (define @t286 () (or @t119 @t214 @t62 @t213 @t280)) % 0.37/0.76 (define @t287 () (or @t214 @t62 @t213 @t280)) % 0.37/0.76 (define @t288 () (or @t214 @t62 @t213 @t278)) % 0.37/0.76 (define @t289 () (or @t214 @t62 @t213 @t277 @t276 @t273 @t272 @t271 @t269)) % 0.37/0.76 (define @t290 () (or @t62 @t213 @t277 @t276 @t273 @t272 @t271 @t269)) % 0.37/0.76 (define @t291 () (and @t290 true)) % 0.37/0.76 (define @t292 () (or @t214 @t291)) % 0.37/0.76 (define @t293 () (and @t290 (or @t62 @t61))) % 0.37/0.76 (define @t294 () (or @t214 @t293)) % 0.37/0.76 (define @t295 () (not (= @t1 @t1))) % 0.37/0.76 (define @t296 () (or @t214 @t295 @t293)) % 0.37/0.76 (define @t297 () (not (= @t10 @t270))) % 0.37/0.76 (define @t298 () (not @t67)) % 0.37/0.76 (define @t299 () (and (or @t62 @t213 @t277 (not (forall @t72 (or @t137 @t275 @t298 @t274))) @t273 @t272 @t297 @t269) @t63)) % 0.37/0.76 (define @t300 () (not @t13)) % 0.37/0.76 (define @t301 () (or @t120 @t300 @t120 @t299)) % 0.37/0.76 (define @t302 () (or @t300 @t120 @t299)) % 0.37/0.76 (define @t303 () (forall @t14 @t302)) % 0.37/0.76 (define @t304 () (forall @t279 @t303)) % 0.37/0.76 (define @t305 () (forall (@list @t266 @t265 @t264 @t10) @t302)) % 0.37/0.76 (define @t306 () (@list @t10 @t266 @t265 @t264)) % 0.37/0.76 (define @t307 () (or @t137 (= @t266 @t65) @t298 @t274)) % 0.37/0.76 (define @t308 () (forall @t72 @t307)) % 0.37/0.76 (define @t309 () (not @t308)) % 0.37/0.76 (define @t310 () (or @t62 @t213 @t277 @t309 @t273 @t272 @t297 @t269)) % 0.37/0.76 (define @t311 () (or @t277 @t309 @t273 @t272 @t297 @t269)) % 0.37/0.76 (define @t312 () (or @t62 @t213 @t311)) % 0.37/0.76 (define @t313 () (and @t312 @t63)) % 0.37/0.76 (define @t314 () (or @t300 @t120 @t313)) % 0.37/0.76 (define @t315 () (forall @t306 @t314)) % 0.37/0.76 (define @t316 () (forall @t279 @t314)) % 0.37/0.76 (define @t317 () (forall @t279 @t63)) % 0.37/0.76 (define @t318 () (forall @t279 @t311)) % 0.37/0.76 (define @t319 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 0.37/0.76 (define @t320 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 0.37/0.76 (define @t321 () (or @t62 @t213 @t318)) % 0.37/0.76 (define @t322 () (forall @t279 @t312)) % 0.37/0.76 (define @t323 () (and @t322 @t317)) % 0.37/0.76 (define @t324 () (forall @t279 @t313)) % 0.37/0.76 (define @t325 () (or @t300 @t120 @t324)) % 0.37/0.76 (define @t326 () (not (= @t12 (tptp.app @t320 @t319)))) % 0.37/0.76 (define @t327 () (not (= @t10 (tptp.app (tptp.app @t320 @t78) @t319)))) % 0.37/0.76 (define @t328 () (not (tptp.ssList @t319))) % 0.37/0.76 (define @t329 () (not (tptp.ssList @t320))) % 0.37/0.76 (define @t330 () (not @t66)) % 0.37/0.76 (define @t331 () (not (forall @t72 (or @t137 @t68 @t298 @t330)))) % 0.37/0.76 (define @t332 () (not @t91)) % 0.37/0.76 (define @t333 () (or @t332 @t331 @t329 @t328 @t327 @t326)) % 0.37/0.76 (define @t334 () (@list @t64 @t320 @t319)) % 0.37/0.76 (define @t335 () (and (or @t62 @t213 (forall @t334 @t333)) @t63)) % 0.37/0.76 (define @t336 () (or @t300 @t120 @t335)) % 0.37/0.76 (define @t337 () (forall @t14 @t336)) % 0.37/0.76 (define @t338 () (or @t119 @t337)) % 0.37/0.76 (define @t339 () (or @t119 @t336)) % 0.37/0.76 (define @t340 () (or @t300 @t120 @t119 @t335)) % 0.37/0.76 (define @t341 () (or @t120 @t119 @t335)) % 0.37/0.76 (define @t342 () (or @t329 @t328 @t327 @t326)) % 0.37/0.76 (define @t343 () (or @t332 @t331 @t342)) % 0.37/0.76 (define @t344 () (forall @t334 @t343)) % 0.37/0.76 (define @t345 () (@list @t320 @t319)) % 0.37/0.76 (define @t346 () (forall @t345 @t343)) % 0.37/0.76 (define @t347 () (forall @t345 @t342)) % 0.37/0.76 (define @t348 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.37/0.76 (define @t349 () (or @t332 @t331 @t347)) % 0.37/0.76 (define @t350 () (not (= @t12 (tptp.app @t75 @t348)))) % 0.37/0.76 (define @t351 () (not (= @t10 (tptp.app @t79 @t348)))) % 0.37/0.76 (define @t352 () (not (tptp.ssList @t348))) % 0.37/0.76 (define @t353 () (not @t87)) % 0.37/0.76 (define @t354 () (or @t353 @t352 @t351 @t350)) % 0.37/0.76 (define @t355 () (@list @t75 @t348)) % 0.37/0.76 (define @t356 () (forall @t355 @t354)) % 0.37/0.76 (define @t357 () (or @t332 @t331 @t356)) % 0.37/0.76 (define @t358 () (or @t331 @t356)) % 0.37/0.76 (define @t359 () (or @t352 @t351 @t350)) % 0.37/0.76 (define @t360 () (or @t353 @t359)) % 0.37/0.76 (define @t361 () (forall @t355 @t360)) % 0.37/0.76 (define @t362 () (@list @t348)) % 0.37/0.76 (define @t363 () (forall @t362 @t360)) % 0.37/0.76 (define @t364 () (forall @t362 @t359)) % 0.37/0.76 (define @t365 () (or @t353 @t364)) % 0.37/0.76 (define @t366 () (not (= @t12 @t76))) % 0.37/0.76 (define @t367 () (not (= @t10 @t80))) % 0.37/0.76 (define @t368 () (not @t83)) % 0.37/0.76 (define @t369 () (or @t368 @t367 @t366)) % 0.37/0.76 (define @t370 () (forall @t85 @t369)) % 0.37/0.76 (define @t371 () (or @t353 @t370)) % 0.37/0.76 (define @t372 () (forall @t89 @t371)) % 0.37/0.76 (define @t373 () (or @t331 @t372)) % 0.37/0.76 (define @t374 () (or @t331 @t371)) % 0.37/0.76 (define @t375 () (or @t353 @t331 @t370)) % 0.37/0.76 (define @t376 () (or @t331 @t370)) % 0.37/0.76 (define @t377 () (or @t331 @t369)) % 0.37/0.76 (define @t378 () (or @t368 @t367 @t366 @t331)) % 0.37/0.76 (define @t379 () (or @t367 @t366 @t331)) % 0.37/0.76 (define @t380 () (not @t69)) % 0.37/0.76 (define @t381 () (or @t137 @t380 @t298 @t330)) % 0.37/0.76 (define @t382 () (forall @t72 (not @t71))) % 0.37/0.76 (define @t383 () (not @t382)) % 0.37/0.76 (define @t384 () (or @t147 @t146 @t208 @t165)) % 0.37/0.76 (define @t385 () (or @t150 @t211 @t384)) % 0.37/0.76 (define @t386 () (forall @t151 @t385)) % 0.37/0.76 (define @t387 () (@list @t142 @t141)) % 0.37/0.76 (define @t388 () (forall @t387 @t385)) % 0.37/0.76 (define @t389 () (forall @t387 @t384)) % 0.37/0.76 (define @t390 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 0.37/0.76 (define @t391 () (or @t150 @t211 @t389)) % 0.37/0.76 (define @t392 () (not (= @t2 (tptp.app @t27 @t390)))) % 0.37/0.76 (define @t393 () (not (= @t1 (tptp.app @t106 @t390)))) % 0.37/0.76 (define @t394 () (not (tptp.ssList @t390))) % 0.37/0.76 (define @t395 () (not @t30)) % 0.37/0.76 (define @t396 () (or @t395 @t394 @t393 @t392)) % 0.37/0.76 (define @t397 () (@list @t27 @t390)) % 0.37/0.76 (define @t398 () (forall @t397 @t396)) % 0.37/0.76 (define @t399 () (or @t150 @t211 @t398)) % 0.37/0.76 (define @t400 () (or @t211 @t398)) % 0.37/0.76 (define @t401 () (not @t400)) % 0.37/0.76 (define @t402 () (and @t114 @t401)) % 0.37/0.76 (define @t403 () (forall @t33 (not @t402))) % 0.37/0.76 (define @t404 () (not @t403)) % 0.37/0.76 (define @t405 () (or @t394 @t393 @t392)) % 0.37/0.76 (define @t406 () (or @t395 @t405)) % 0.37/0.76 (define @t407 () (forall @t397 @t406)) % 0.37/0.76 (define @t408 () (@list @t390)) % 0.37/0.76 (define @t409 () (forall @t408 @t406)) % 0.37/0.76 (define @t410 () (forall @t408 @t405)) % 0.37/0.76 (define @t411 () (or @t395 @t410)) % 0.37/0.76 (define @t412 () (= @t2 @t104)) % 0.37/0.76 (define @t413 () (not @t412)) % 0.37/0.76 (define @t414 () (= @t1 @t107)) % 0.37/0.76 (define @t415 () (not @t414)) % 0.37/0.76 (define @t416 () (not @t108)) % 0.37/0.76 (define @t417 () (or @t416 @t415 @t413)) % 0.37/0.76 (define @t418 () (forall @t110 @t417)) % 0.37/0.76 (define @t419 () (or @t395 @t418)) % 0.37/0.76 (define @t420 () (forall @t31 @t419)) % 0.37/0.76 (define @t421 () (or @t211 @t420)) % 0.37/0.76 (define @t422 () (or @t211 @t419)) % 0.37/0.76 (define @t423 () (or @t395 @t211 @t418)) % 0.37/0.76 (define @t424 () (or @t211 @t418)) % 0.37/0.76 (define @t425 () (not @t424)) % 0.37/0.76 (define @t426 () (and @t30 @t425)) % 0.37/0.76 (define @t427 () (forall @t31 (not @t426))) % 0.37/0.76 (define @t428 () (not @t427)) % 0.37/0.76 (define @t429 () (or @t211 @t417)) % 0.37/0.76 (define @t430 () (or @t416 @t415 @t413 @t211)) % 0.37/0.76 (define @t431 () (and @t108 @t414 @t412 @t210)) % 0.37/0.76 (define @t432 () (forall @t110 (not @t431))) % 0.37/0.76 (define @t433 () (not @t432)) % 0.37/0.76 (define @t434 () (forall @t163 @t156)) % 0.37/0.76 (define @t435 () (@quantifiers_skolemize @t434 0)) % 0.37/0.76 (define @t436 () (tptp.ssItem @t435)) % 0.37/0.77 (define @t437 () (@quantifiers_skolemize @t434 2)) % 0.37/0.77 (define @t438 () (tptp.ssList @t437)) % 0.37/0.77 (define @t439 () (not @t438)) % 0.37/0.77 (define @t440 () (@quantifiers_skolemize @t434 1)) % 0.37/0.77 (define @t441 () (tptp.ssList @t440)) % 0.37/0.77 (define @t442 () (not @t441)) % 0.37/0.77 (define @t443 () (tptp.app (tptp.app @t440 (tptp.cons @t435 tptp.nil)) @t437)) % 0.37/0.77 (define @t444 () (forall @t72 (or @t137 (= @t65 @t435) (not (tptp.memberP @t443 @t65)) (not (tptp.geq @t65 @t435))))) % 0.37/0.77 (define @t445 () (not @t444)) % 0.37/0.77 (define @t446 () (not @t436)) % 0.37/0.77 (define @t447 () (tptp.app @t440 @t437)) % 0.37/0.77 (define @t448 () (not (tptp.memberP @t443 @t95))) % 0.37/0.77 (define @t449 () (forall @t151 (or @t150 (not (forall @t101 (or @t148 @t448 @t97 @t96))) @t147 @t146 (not (= @t144 @t443)) (not (= @t143 @t447))))) % 0.37/0.77 (define @t450 () (not @t449)) % 0.37/0.77 (define @t451 () (or (not (tptp.ssList @t447)) (not (tptp.ssList @t443)) (not (tptp.neq @t443 tptp.nil)) @t450 @t446 @t445 @t442 @t439)) % 0.37/0.77 (define @t452 () (@list true)) % 0.37/0.77 (define @t453 () (@list @t451)) % 0.37/0.77 (define @t454 () (not (tptp.geq @t95 @t435))) % 0.37/0.77 (define @t455 () (= @t95 @t435)) % 0.37/0.77 (define @t456 () (or @t148 @t455 @t448 @t454)) % 0.37/0.77 (define @t457 () (or @t148 @t448 @t454 @t455)) % 0.37/0.77 (define @t458 () (forall @t101 @t457)) % 0.37/0.77 (define @t459 () (forall @t101 @t456)) % 0.37/0.77 (define @t460 () (@list false)) % 0.37/0.77 (define @t461 () (not @t458)) % 0.37/0.77 (define @t462 () (or @t446 @t461 @t442 @t439)) % 0.37/0.77 (define @t463 () (not (= @t447 @t447))) % 0.37/0.77 (define @t464 () (not (= @t443 @t443))) % 0.37/0.77 (define @t465 () (or @t148 @t448 @t454 (= @t435 @t95))) % 0.37/0.77 (define @t466 () (forall @t101 @t465)) % 0.37/0.77 (define @t467 () (not @t466)) % 0.37/0.77 (define @t468 () (or @t446 @t467 @t442 @t439 @t464 @t463)) % 0.37/0.77 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.77 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.77 (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))))))))))) % 0.37/0.77 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.77 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.77 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.77 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.77 (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))))))))))))))))) % 0.37/0.77 (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)))))))))))))))) % 0.37/0.77 (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))))))))))))))))) % 0.37/0.77 (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))))))))))))))) % 0.37/0.77 (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))))))))))))))) % 0.37/0.77 (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)))))))))))))))) % 0.37/0.77 (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))))))))))))) % 0.37/0.77 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.77 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.37/0.77 (assume @p17 (tptp.ssList tptp.nil)) % 0.37/0.77 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.37/0.77 (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) @t38))))))))))) % 0.37/0.77 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.37/0.77 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.37/0.77 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.37/0.77 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.37/0.77 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.37/0.77 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.37/0.77 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.37/0.77 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.37/0.77 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.77 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.37/0.77 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.77 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.77 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.37/0.77 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.37/0.77 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.37/0.77 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.37/0.77 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.37/0.77 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.37/0.77 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.77 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.77 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.77 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.77 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.77 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.77 (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)))))))))))) % 0.37/0.77 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.77 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.37/0.77 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.77 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.77 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.77 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.37/0.77 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.77 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.37/0.77 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.77 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.77 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.77 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.37/0.77 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.77 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.37/0.77 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.37/0.77 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.77 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.37/0.77 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.77 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.37/0.77 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.77 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.37/0.77 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.77 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.37/0.77 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.37/0.77 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.77 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.37/0.77 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.37/0.77 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.77 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.37/0.77 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.77 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.37/0.77 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.37/0.77 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.37/0.77 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.37/0.77 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.37/0.77 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.37/0.77 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.37/0.77 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.77 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.37/0.77 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.77 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.37/0.77 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.37/0.77 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.77 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.77 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.77 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.77 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.37/0.77 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.37/0.77 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.37/0.77 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.77 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.77 (assume @p96 @t130) % 0.37/0.77 (assume @p97 true) % 0.37/0.77 (step @p98 :rule aci_norm :args ((= (or @t155 @t154 @t153 @t152 @t139 @t138 @t134 @t132 false) @t156))) % 0.37/0.77 (step @p99 :rule evaluate :args ((not true))) % 0.37/0.77 (step @p100 :rule eq-refl :args (@t140)) % 0.37/0.77 (step @p101 :rule cong :premises (@p100) :args (@t157)) % 0.37/0.77 (step @p102 :rule trans :premises (@p101 @p99)) % 0.37/0.77 (step @p103 :rule refl :args (@t132)) % 0.37/0.77 (step @p104 :rule refl :args (@t134)) % 0.37/0.77 (step @p105 :rule refl :args (@t138)) % 0.37/0.77 (step @p106 :rule refl :args (@t139)) % 0.37/0.77 (step @p107 :rule eq-symm :args (@t140 @t143)) % 0.37/0.77 (step @p108 :rule cong :premises (@p107) :args (@t158)) % 0.37/0.77 (step @p109 :rule refl :args (@t145)) % 0.37/0.77 (step @p110 :rule refl :args (@t146)) % 0.37/0.77 (step @p111 :rule refl :args (@t147)) % 0.37/0.77 (step @p112 :rule refl :args (@t149)) % 0.37/0.77 (step @p113 :rule refl :args (@t150)) % 0.37/0.77 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109 @p108) :args (@t159)) % 0.37/0.77 (step @p115 :rule cong :premises (@p114) :args (@t160)) % 0.37/0.77 (step @p116 :rule cong :premises (@p115) :args (@t161)) % 0.37/0.77 (step @p117 :rule refl :args (@t153)) % 0.37/0.77 (step @p118 :rule refl :args (@t154)) % 0.37/0.77 (step @p119 :rule refl :args (@t155)) % 0.37/0.77 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p106 @p105 @p104 @p103 @p102) :args (@t162)) % 0.37/0.77 (step @p121 :rule trans :premises (@p120 @p98)) % 0.37/0.77 (step @p122 :rule cong :premises (@p121) :args ((forall @t163 @t162))) % 0.37/0.77 (step @p123 :rule quant-var-elim-eq :args ((= (forall @t9 @t168) @t162))) % 0.37/0.77 (step @p124 :rule aci_norm :args ((= @t169 @t168))) % 0.37/0.77 (step @p125 :rule cong :premises (@p124) :args (@t170)) % 0.37/0.77 (step @p126 :rule trans :premises (@p125 @p123)) % 0.37/0.77 (step @p127 :rule cong :premises (@p126) :args (@t171)) % 0.37/0.77 (step @p128 :rule quant-merge-prenex :args ((= @t171 @t172))) % 0.37/0.77 (step @p129 :rule symm :premises (@p128)) % 0.37/0.77 (step @p130 :rule quant_var_reordering :args ((= (forall @t173 @t169) @t172))) % 0.37/0.77 (step @p131 :rule trans :premises (@p130 @p129 @p127)) % 0.37/0.77 (step @p132 :rule trans :premises (@p131 @p122)) % 0.37/0.77 (step @p133 :rule aci_norm :args ((= @t175 @t169))) % 0.37/0.77 (step @p134 :rule cong :premises (@p133) :args (@t176)) % 0.37/0.77 (step @p135 :rule trans :premises (@p134 @p132)) % 0.37/0.77 (step @p136 :rule quant-merge-prenex :args ((= (forall @t9 @t177) @t176))) % 0.37/0.77 (step @p137 :rule alpha_equiv :args (@t178 (@list @t135 @t133 @t131) @t182)) % 0.37/0.77 (step @p138 :rule refl :args (@t167)) % 0.37/0.77 (step @p139 :rule nary_cong :premises (@p138 @p137) :args (@t183)) % 0.37/0.77 (step @p140 :rule quant-miniscope-or :args ((= @t177 @t183))) % 0.37/0.77 (step @p141 :rule trans :premises (@p140 @p139)) % 0.37/0.77 (step @p142 :rule symm :premises (@p141)) % 0.37/0.77 (step @p143 :rule cong :premises (@p142) :args ((forall @t9 @t198))) % 0.37/0.77 (step @p144 :rule trans :premises (@p143 @p136)) % 0.37/0.77 (step @p145 :rule trans :premises (@p144 @p135)) % 0.37/0.77 (step @p146 :rule aci_norm :args ((= (or @t167 @t198) @t198))) % 0.37/0.77 (step @p147 :rule bool-impl-elim :args (@t17 @t198)) % 0.37/0.77 (step @p148 :rule trans :premises (@p147 @p146)) % 0.37/0.77 (step @p149 :rule cong :premises (@p148) :args ((forall @t9 (=> @t17 @t198)))) % 0.37/0.77 (step @p150 :rule trans :premises (@p149 @p145)) % 0.37/0.77 (step @p151 :rule aci_norm :args ((= (or @t195 @t194 @t193 @t191 @t190 @t186 @t185 false @t184) @t196))) % 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