%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC355+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 : n019.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 08:58:59 AM UTC 2026 % Result : Theorem 0.87s 1.11s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC355+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:43:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.87/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.11 % SZS status Theorem % 0.87/1.11 % SZS output start Proof % 0.87/1.11 ( % 0.87/1.11 (declare-sort $$unsorted 0) % 0.87/1.11 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.11 (declare-const tptp.nil $$unsorted) % 0.87/1.11 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.87/1.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.87/1.11 (define @t1 () (@var "V" $$unsorted)) % 0.87/1.11 (define @t2 () (@var "U" $$unsorted)) % 0.87/1.11 (define @t3 () (= @t2 @t1)) % 0.87/1.11 (define @t4 () (not @t3)) % 0.87/1.11 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.87/1.11 (define @t6 () (tptp.ssItem @t1)) % 0.87/1.11 (define @t7 () (@list @t1)) % 0.87/1.11 (define @t8 () (tptp.ssItem @t2)) % 0.87/1.11 (define @t9 () (@list @t2)) % 0.87/1.11 (define @t10 () (@var "X" $$unsorted)) % 0.87/1.11 (define @t11 () (tptp.cons @t1 @t10)) % 0.87/1.11 (define @t12 () (@var "W" $$unsorted)) % 0.87/1.11 (define @t13 () (tptp.ssList @t10)) % 0.87/1.11 (define @t14 () (@list @t10)) % 0.87/1.11 (define @t15 () (tptp.ssList @t12)) % 0.87/1.11 (define @t16 () (@list @t12)) % 0.87/1.11 (define @t17 () (tptp.ssList @t2)) % 0.87/1.11 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.87/1.11 (define @t19 () (tptp.app @t1 @t12)) % 0.87/1.11 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.87/1.11 (define @t21 () (tptp.ssList @t1)) % 0.87/1.11 (define @t22 () (tptp.app @t12 @t1)) % 0.87/1.11 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.87/1.11 (define @t24 () (tptp.app @t22 @t10)) % 0.87/1.11 (define @t25 () (and @t13 (= @t24 @t2))) % 0.87/1.11 (define @t26 () (exists @t14 @t25)) % 0.87/1.11 (define @t27 () (and @t15 @t26)) % 0.87/1.11 (define @t28 () (exists @t16 @t27)) % 0.87/1.11 (define @t29 () (tptp.segmentP @t2 @t1)) % 0.87/1.11 (define @t30 () (= @t29 @t28)) % 0.87/1.11 (define @t31 () (=> @t21 @t30)) % 0.87/1.11 (define @t32 () (forall @t7 @t31)) % 0.87/1.11 (define @t33 () (=> @t17 @t32)) % 0.87/1.11 (define @t34 () (forall @t9 @t33)) % 0.87/1.11 (define @t35 () (tptp.leq @t12 @t1)) % 0.87/1.11 (define @t36 () (tptp.leq @t1 @t12)) % 0.87/1.11 (define @t37 () (@var "Z" $$unsorted)) % 0.87/1.11 (define @t38 () (@var "Y" $$unsorted)) % 0.87/1.11 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 0.87/1.11 (define @t40 () (tptp.ssList @t37)) % 0.87/1.11 (define @t41 () (@list @t37)) % 0.87/1.11 (define @t42 () (tptp.ssList @t38)) % 0.87/1.11 (define @t43 () (@list @t38)) % 0.87/1.11 (define @t44 () (tptp.ssItem @t12)) % 0.87/1.11 (define @t45 () (tptp.lt @t1 @t12)) % 0.87/1.11 (define @t46 () (= @t1 @t12)) % 0.87/1.11 (define @t47 () (tptp.cons @t1 @t2)) % 0.87/1.11 (define @t48 () (tptp.ssList @t47)) % 0.87/1.11 (define @t49 () (forall @t7 (=> @t6 @t48))) % 0.87/1.11 (define @t50 () (=> @t17 @t49)) % 0.87/1.11 (define @t51 () (forall @t9 @t50)) % 0.87/1.11 (define @t52 () (tptp.ssList tptp.nil)) % 0.87/1.11 (define @t53 () (= @t1 @t2)) % 0.87/1.11 (define @t54 () (tptp.cons @t12 @t1)) % 0.87/1.11 (define @t55 () (= tptp.nil @t2)) % 0.87/1.11 (define @t56 () (tptp.hd @t2)) % 0.87/1.11 (define @t57 () (not @t55)) % 0.87/1.11 (define @t58 () (tptp.tl @t2)) % 0.87/1.11 (define @t59 () (tptp.app @t2 @t1)) % 0.87/1.11 (define @t60 () (tptp.app @t1 @t2)) % 0.87/1.11 (define @t61 () (tptp.app tptp.nil @t2)) % 0.87/1.11 (define @t62 () (=> @t17 (= @t61 @t2))) % 0.87/1.11 (define @t63 () (forall @t9 @t62)) % 0.87/1.11 (define @t64 () (tptp.leq @t1 @t2)) % 0.87/1.11 (define @t65 () (tptp.leq @t2 @t1)) % 0.87/1.11 (define @t66 () (tptp.geq @t2 @t1)) % 0.87/1.11 (define @t67 () (tptp.lt @t1 @t2)) % 0.87/1.11 (define @t68 () (tptp.lt @t2 @t1)) % 0.87/1.11 (define @t69 () (tptp.lt @t2 @t12)) % 0.87/1.11 (define @t70 () (tptp.gt @t2 @t1)) % 0.87/1.11 (define @t71 () (tptp.memberP @t12 @t2)) % 0.87/1.11 (define @t72 () (tptp.app @t12 @t2)) % 0.87/1.11 (define @t73 () (tptp.segmentP @t1 @t2)) % 0.87/1.11 (define @t74 () (tptp.cons @t2 tptp.nil)) % 0.87/1.11 (define @t75 () (tptp.hd @t1)) % 0.87/1.11 (define @t76 () (= tptp.nil @t1)) % 0.87/1.11 (define @t77 () (not @t76)) % 0.87/1.11 (define @t78 () (tptp.cons @t2 @t1)) % 0.87/1.11 (define @t79 () (= @t12 @t2)) % 0.87/1.11 (define @t80 () (tptp.neq @t1 tptp.nil)) % 0.87/1.11 (define @t81 () (not @t80)) % 0.87/1.11 (define @t82 () (or @t81 (tptp.neq @t10 tptp.nil))) % 0.87/1.11 (define @t83 () (tptp.app @t12 (tptp.cons @t38 tptp.nil))) % 0.87/1.11 (define @t84 () (not (= @t83 @t10))) % 0.87/1.11 (define @t85 () (tptp.ssItem @t38)) % 0.87/1.11 (define @t86 () (=> @t85 @t84)) % 0.87/1.11 (define @t87 () (forall @t43 @t86)) % 0.87/1.11 (define @t88 () (or @t81 @t87 @t73)) % 0.87/1.11 (define @t89 () (and @t88 @t82)) % 0.87/1.11 (define @t90 () (not (= @t2 @t12))) % 0.87/1.11 (define @t91 () (not (= @t1 @t10))) % 0.87/1.11 (define @t92 () (or @t91 @t90 @t89)) % 0.87/1.11 (define @t93 () (=> @t13 @t92)) % 0.87/1.11 (define @t94 () (forall @t14 @t93)) % 0.87/1.11 (define @t95 () (=> @t15 @t94)) % 0.87/1.11 (define @t96 () (forall @t16 @t95)) % 0.87/1.11 (define @t97 () (=> @t21 @t96)) % 0.87/1.11 (define @t98 () (forall @t7 @t97)) % 0.87/1.11 (define @t99 () (=> @t17 @t98)) % 0.87/1.11 (define @t100 () (forall @t9 @t99)) % 0.87/1.11 (define @t101 () (not @t100)) % 0.87/1.11 (define @t102 () (= @t2 @t61)) % 0.87/1.11 (define @t103 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 0.87/1.11 (define @t104 () (not (tptp.ssItem @t103))) % 0.87/1.11 (define @t105 () (tptp.app @t2 (tptp.cons @t103 tptp.nil))) % 0.87/1.11 (define @t106 () (tptp.segmentP @t105 @t2)) % 0.87/1.11 (define @t107 () (not (tptp.neq @t105 tptp.nil))) % 0.87/1.11 (define @t108 () (not (tptp.ssList @t105))) % 0.87/1.11 (define @t109 () (not @t17)) % 0.87/1.11 (define @t110 () (or @t109 @t108 @t107 @t106 @t104)) % 0.87/1.11 (define @t111 () (@list @t2 @t103)) % 0.87/1.11 (define @t112 () (forall @t111 @t110)) % 0.87/1.11 (define @t113 () (@quantifiers_skolemize @t112 0)) % 0.87/1.11 (define @t114 () (or @t108 @t107 @t106 @t104)) % 0.87/1.11 (define @t115 () (or @t109 @t114)) % 0.87/1.11 (define @t116 () (forall @t111 @t115)) % 0.87/1.11 (define @t117 () (@list @t103)) % 0.87/1.11 (define @t118 () (forall @t117 @t115)) % 0.87/1.11 (define @t119 () (forall @t117 @t114)) % 0.87/1.11 (define @t120 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 0.87/1.11 (define @t121 () (@list @t120)) % 0.87/1.11 (define @t122 () (or @t109 @t119)) % 0.87/1.11 (define @t123 () (not (tptp.ssItem @t120))) % 0.87/1.11 (define @t124 () (tptp.app @t2 (tptp.cons @t120 tptp.nil))) % 0.87/1.11 (define @t125 () (tptp.segmentP @t124 @t2)) % 0.87/1.11 (define @t126 () (not (tptp.neq @t124 tptp.nil))) % 0.87/1.11 (define @t127 () (not (tptp.ssList @t124))) % 0.87/1.11 (define @t128 () (or @t127 @t126 @t125 @t123)) % 0.87/1.11 (define @t129 () (@list @t120)) % 0.87/1.11 (define @t130 () (or @t109 (forall @t129 @t128))) % 0.87/1.11 (define @t131 () (not (= @t124 @t124))) % 0.87/1.11 (define @t132 () (or @t127 @t126 @t125 @t123 @t131)) % 0.87/1.11 (define @t133 () (not (= @t1 @t124))) % 0.87/1.11 (define @t134 () (not @t21)) % 0.87/1.11 (define @t135 () (or @t133 @t134 @t81 @t73 @t123 @t133)) % 0.87/1.11 (define @t136 () (or @t134 @t81 @t73 @t123 @t133)) % 0.87/1.11 (define @t137 () (forall @t7 @t136)) % 0.87/1.11 (define @t138 () (forall @t129 @t137)) % 0.87/1.11 (define @t139 () (forall (@list @t120 @t1) @t136)) % 0.87/1.11 (define @t140 () (@list @t1 @t120)) % 0.87/1.11 (define @t141 () (or @t123 @t133)) % 0.87/1.11 (define @t142 () (or @t134 @t81 @t73 @t141)) % 0.87/1.11 (define @t143 () (forall @t140 @t142)) % 0.87/1.11 (define @t144 () (forall @t129 @t142)) % 0.87/1.11 (define @t145 () (forall @t129 @t141)) % 0.87/1.11 (define @t146 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 0.87/1.11 (define @t147 () (@list @t146)) % 0.87/1.11 (define @t148 () (or @t134 @t81 @t73 @t145)) % 0.87/1.11 (define @t149 () (tptp.cons @t146 tptp.nil)) % 0.87/1.11 (define @t150 () (not (= @t1 (tptp.app @t2 @t149)))) % 0.87/1.11 (define @t151 () (not (tptp.ssItem @t146))) % 0.87/1.11 (define @t152 () (or @t151 @t150)) % 0.87/1.11 (define @t153 () (@list @t146)) % 0.87/1.11 (define @t154 () (forall @t153 @t152)) % 0.87/1.11 (define @t155 () (or @t134 @t81 @t73 @t154)) % 0.87/1.11 (define @t156 () (forall @t7 @t155)) % 0.87/1.11 (define @t157 () (or @t109 @t156)) % 0.87/1.11 (define @t158 () (or @t109 @t155)) % 0.87/1.11 (define @t159 () (or @t134 @t81 @t73 @t109 @t154)) % 0.87/1.11 (define @t160 () (or @t109 @t154)) % 0.87/1.11 (define @t161 () (or @t109 @t152)) % 0.87/1.11 (define @t162 () (or @t109 @t151 @t150)) % 0.87/1.11 (define @t163 () (not (= @t2 @t2))) % 0.87/1.11 (define @t164 () (or @t109 @t163 @t151 @t150)) % 0.87/1.11 (define @t165 () (not (= @t1 (tptp.app @t12 @t149)))) % 0.87/1.11 (define @t166 () (not @t15)) % 0.87/1.11 (define @t167 () (or @t90 @t166 @t90 @t151 @t165)) % 0.87/1.11 (define @t168 () (or @t166 @t90 @t151 @t165)) % 0.87/1.11 (define @t169 () (forall @t16 @t168)) % 0.87/1.11 (define @t170 () (forall @t153 @t169)) % 0.87/1.11 (define @t171 () (forall (@list @t146 @t12) @t168)) % 0.87/1.11 (define @t172 () (@list @t12 @t146)) % 0.87/1.11 (define @t173 () (or @t151 @t165)) % 0.87/1.11 (define @t174 () (or @t166 @t90 @t173)) % 0.87/1.11 (define @t175 () (forall @t172 @t174)) % 0.87/1.11 (define @t176 () (forall @t153 @t174)) % 0.87/1.11 (define @t177 () (forall @t153 @t173)) % 0.87/1.11 (define @t178 () (@var "BOUND_VARIABLE_10940" $$unsorted)) % 0.87/1.11 (define @t179 () (@list @t178)) % 0.87/1.11 (define @t180 () (or @t166 @t90 @t177)) % 0.87/1.11 (define @t181 () (tptp.app @t12 (tptp.cons @t178 tptp.nil))) % 0.87/1.11 (define @t182 () (not (= @t1 @t181))) % 0.87/1.11 (define @t183 () (not (tptp.ssItem @t178))) % 0.87/1.11 (define @t184 () (or @t183 @t182)) % 0.87/1.11 (define @t185 () (@list @t178)) % 0.87/1.11 (define @t186 () (forall @t185 @t184)) % 0.87/1.11 (define @t187 () (or @t166 @t90 @t186)) % 0.87/1.11 (define @t188 () (forall @t16 @t187)) % 0.87/1.11 (define @t189 () (or @t134 @t81 @t73 @t188)) % 0.87/1.11 (define @t190 () (or @t134 @t81 @t73 @t187)) % 0.87/1.11 (define @t191 () (or @t166 @t90 @t134 @t81 @t73 @t186)) % 0.87/1.11 (define @t192 () (or @t90 @t134 @t81 @t73 @t186)) % 0.87/1.11 (define @t193 () (or @t134 @t81 @t73 @t186)) % 0.87/1.11 (define @t194 () (or @t134 @t81 @t73 @t184)) % 0.87/1.11 (define @t195 () (or @t134 @t81 @t73 @t183 @t182)) % 0.87/1.11 (define @t196 () (or @t81 @t73 @t183 @t182)) % 0.87/1.11 (define @t197 () (and @t196 true)) % 0.87/1.11 (define @t198 () (or @t134 @t197)) % 0.87/1.11 (define @t199 () (and @t196 (or @t81 @t80))) % 0.87/1.11 (define @t200 () (or @t134 @t199)) % 0.87/1.11 (define @t201 () (not (= @t1 @t1))) % 0.87/1.11 (define @t202 () (or @t134 @t201 @t199)) % 0.87/1.11 (define @t203 () (not (= @t10 @t181))) % 0.87/1.11 (define @t204 () (or @t81 @t73 @t183 @t203)) % 0.87/1.11 (define @t205 () (and @t204 @t82)) % 0.87/1.11 (define @t206 () (not @t13)) % 0.87/1.11 (define @t207 () (or @t91 @t206 @t91 @t205)) % 0.87/1.11 (define @t208 () (or @t206 @t91 @t205)) % 0.87/1.11 (define @t209 () (forall @t14 @t208)) % 0.87/1.11 (define @t210 () (forall @t185 @t209)) % 0.87/1.11 (define @t211 () (forall (@list @t178 @t10) @t208)) % 0.87/1.11 (define @t212 () (@list @t10 @t178)) % 0.87/1.11 (define @t213 () (or @t183 @t203)) % 0.87/1.11 (define @t214 () (or @t81 @t213 @t73)) % 0.87/1.11 (define @t215 () (and @t214 @t82)) % 0.87/1.11 (define @t216 () (or @t206 @t91 @t215)) % 0.87/1.11 (define @t217 () (forall @t212 @t216)) % 0.87/1.11 (define @t218 () (forall @t185 @t216)) % 0.87/1.11 (define @t219 () (forall @t185 @t82)) % 0.87/1.11 (define @t220 () (forall @t185 @t213)) % 0.87/1.11 (define @t221 () (or @t81 @t220 @t73)) % 0.87/1.11 (define @t222 () (forall @t185 @t214)) % 0.87/1.11 (define @t223 () (and @t222 @t219)) % 0.87/1.11 (define @t224 () (forall @t185 @t215)) % 0.87/1.11 (define @t225 () (or @t206 @t91 @t224)) % 0.87/1.11 (define @t226 () (not (= @t10 @t83))) % 0.87/1.11 (define @t227 () (and (or @t81 (forall @t43 (or (not @t85) @t226)) @t73) @t82)) % 0.87/1.11 (define @t228 () (or @t206 @t91 @t227)) % 0.87/1.11 (define @t229 () (forall @t14 @t228)) % 0.87/1.11 (define @t230 () (or @t90 @t229)) % 0.87/1.11 (define @t231 () (or @t90 @t228)) % 0.87/1.11 (define @t232 () (or @t206 @t91 @t90 @t227)) % 0.87/1.11 (define @t233 () (or @t91 @t90 @t227)) % 0.87/1.11 (define @t234 () (tptp.ssList @t113)) % 0.87/1.11 (define @t235 () (@quantifiers_skolemize @t112 1)) % 0.87/1.11 (define @t236 () (tptp.ssItem @t235)) % 0.87/1.11 (define @t237 () (not @t236)) % 0.87/1.11 (define @t238 () (tptp.cons @t235 tptp.nil)) % 0.87/1.11 (define @t239 () (tptp.app @t113 @t238)) % 0.87/1.11 (define @t240 () (tptp.segmentP @t239 @t113)) % 0.87/1.11 (define @t241 () (tptp.ssList @t239)) % 0.87/1.11 (define @t242 () (not @t241)) % 0.87/1.11 (define @t243 () (not @t234)) % 0.87/1.11 (define @t244 () (or @t243 @t242 (not (tptp.neq @t239 tptp.nil)) @t240 @t237)) % 0.87/1.11 (define @t245 () (@list true)) % 0.87/1.11 (define @t246 () (@list @t244)) % 0.87/1.11 (define @t247 () (tptp.app tptp.nil @t113)) % 0.87/1.11 (define @t248 () (= @t113 @t247)) % 0.87/1.11 (define @t249 () (or @t243 @t248)) % 0.87/1.11 (define @t250 () (@list false false)) % 0.87/1.11 (define @t251 () (@list @t234 @t249)) % 0.87/1.11 (define @t252 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 0.87/1.11 (define @t253 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 0.87/1.11 (define @t254 () (not (tptp.ssList @t252))) % 0.87/1.11 (define @t255 () (@list @t12 @t252)) % 0.87/1.11 (define @t256 () (= (tptp.segmentP @t2 @t253) (not (forall @t255 (or @t166 @t254 (not (= @t2 (tptp.app (tptp.app @t12 @t253) @t252)))))))) % 0.87/1.11 (define @t257 () (not (tptp.ssList @t253))) % 0.87/1.11 (define @t258 () (or @t257 @t256)) % 0.87/1.11 (define @t259 () (or @t109 @t258)) % 0.87/1.11 (define @t260 () (forall (@list @t2 @t253) @t259)) % 0.87/1.11 (define @t261 () (@list @t253)) % 0.87/1.11 (define @t262 () (forall @t261 @t259)) % 0.87/1.11 (define @t263 () (forall @t261 @t258)) % 0.87/1.11 (define @t264 () (@list @t1)) % 0.87/1.11 (define @t265 () (or @t109 @t263)) % 0.87/1.11 (define @t266 () (not (= @t2 (tptp.app @t22 @t252)))) % 0.87/1.11 (define @t267 () (or @t166 @t254 @t266)) % 0.87/1.11 (define @t268 () (= @t29 (not (forall @t255 @t267)))) % 0.87/1.11 (define @t269 () (forall @t7 (or @t134 @t268))) % 0.87/1.11 (define @t270 () (or @t254 @t266)) % 0.87/1.11 (define @t271 () (or @t166 @t270)) % 0.87/1.11 (define @t272 () (forall @t255 @t271)) % 0.87/1.11 (define @t273 () (@list @t252)) % 0.87/1.11 (define @t274 () (forall @t273 @t271)) % 0.87/1.11 (define @t275 () (forall @t273 @t270)) % 0.87/1.11 (define @t276 () (or @t166 @t275)) % 0.87/1.11 (define @t277 () (= @t2 @t24)) % 0.87/1.11 (define @t278 () (forall @t14 (or @t206 (not @t277)))) % 0.87/1.11 (define @t279 () (not @t278)) % 0.87/1.11 (define @t280 () (and @t15 @t279)) % 0.87/1.11 (define @t281 () (forall @t16 (not @t280))) % 0.87/1.11 (define @t282 () (not @t281)) % 0.87/1.11 (define @t283 () (and @t13 @t277)) % 0.87/1.11 (define @t284 () (forall @t14 (not @t283))) % 0.87/1.11 (define @t285 () (not @t284)) % 0.87/1.11 (define @t286 () (forall @t255 (or @t166 @t254 (not (= @t239 (tptp.app (tptp.app @t12 @t113) @t252)))))) % 0.87/1.11 (define @t287 () (not @t286)) % 0.87/1.11 (define @t288 () (= @t240 @t287)) % 0.87/1.11 (define @t289 () (or @t242 @t243 @t288)) % 0.87/1.11 (define @t290 () (@list false false false)) % 0.87/1.11 (define @t291 () (not @t288)) % 0.87/1.11 (define @t292 () (@list true false)) % 0.87/1.11 (define @t293 () (@var "BOUND_VARIABLE_9121" $$unsorted)) % 0.87/1.11 (define @t294 () (tptp.ssList (tptp.cons @t293 @t2))) % 0.87/1.11 (define @t295 () (not (tptp.ssItem @t293))) % 0.87/1.11 (define @t296 () (or @t295 @t294)) % 0.87/1.11 (define @t297 () (or @t109 @t296)) % 0.87/1.11 (define @t298 () (forall (@list @t2 @t293) @t297)) % 0.87/1.11 (define @t299 () (@list @t293)) % 0.87/1.11 (define @t300 () (forall @t299 @t297)) % 0.87/1.11 (define @t301 () (forall @t299 @t296)) % 0.87/1.11 (define @t302 () (or @t109 @t301)) % 0.87/1.11 (define @t303 () (forall @t7 (or (not @t6) @t48))) % 0.87/1.11 (define @t304 () (tptp.ssList @t238)) % 0.87/1.11 (define @t305 () (not @t52)) % 0.87/1.11 (define @t306 () (or @t305 @t237 @t304)) % 0.87/1.11 (define @t307 () (= @t239 (tptp.app @t247 @t238))) % 0.87/1.11 (define @t308 () (not @t307)) % 0.87/1.11 (define @t309 () (not @t304)) % 0.87/1.11 (define @t310 () (or @t305 @t309 @t308)) % 0.87/1.11 (define @t311 () (not @t248)) % 0.87/1.11 (define @t312 () (and @t307 @t308)) % 0.87/1.11 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.87/1.11 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.87/1.11 (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))))))))))) % 0.87/1.11 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.87/1.11 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.87/1.11 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.87/1.11 (assume @p7 @t34) % 0.87/1.11 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 0.87/1.11 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 0.87/1.11 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 0.87/1.11 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 0.87/1.11 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 0.87/1.11 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t46)))))))))))))))) % 0.87/1.11 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 0.87/1.11 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.87/1.11 (assume @p16 @t51) % 0.87/1.11 (assume @p17 @t52) % 0.87/1.11 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 0.87/1.11 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 0.87/1.11 (assume @p20 (forall @t9 (=> @t17 (or @t55 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t54 @t2))))))))) % 0.87/1.11 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 0.87/1.11 (assume @p22 (forall @t9 (=> @t17 (=> @t57 (tptp.ssItem @t56))))) % 0.87/1.11 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 0.87/1.11 (assume @p24 (forall @t9 (=> @t17 (=> @t57 (tptp.ssList @t58))))) % 0.87/1.11 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 0.87/1.11 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t59)))))) % 0.87/1.11 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t54 @t2))))))))) % 0.87/1.11 (assume @p28 @t63) % 0.87/1.11 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 0.87/1.11 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t36) (tptp.leq @t2 @t12))))))))) % 0.87/1.11 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.87/1.11 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 0.87/1.11 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 0.87/1.11 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t68 @t45) @t69)))))))) % 0.87/1.11 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 0.87/1.11 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 0.87/1.11 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 0.87/1.11 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.87/1.11 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.87/1.11 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.87/1.11 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.87/1.11 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.87/1.11 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.87/1.11 (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)))))))))))) % 0.87/1.11 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.87/1.11 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t55)))) % 0.87/1.11 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.87/1.11 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.87/1.11 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.87/1.11 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t72 @t1))))))))) % 0.87/1.11 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.87/1.11 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t55)))) % 0.87/1.11 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.87/1.11 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t73) @t3)))))) % 0.87/1.11 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.87/1.11 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t72 @t10) @t1))))))))))) % 0.87/1.11 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.87/1.11 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t55)))) % 0.87/1.11 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 0.87/1.11 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.87/1.11 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 0.87/1.11 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.87/1.11 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 0.87/1.11 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.87/1.11 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 0.87/1.11 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.87/1.11 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 0.87/1.11 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 0.87/1.11 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.87/1.11 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 0.87/1.11 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 0.87/1.11 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.87/1.11 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 0.87/1.11 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.87/1.11 (assume @p75 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t6 (= @t56 @t1))))))) % 0.87/1.11 (assume @p76 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t21 (= @t58 @t1))))))) % 0.87/1.11 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t57 (= @t75 @t56) (= (tptp.tl @t1) @t58)) @t53)))))) % 0.87/1.11 (assume @p78 (forall @t9 (=> @t17 (=> @t57 (= (tptp.cons @t56 @t58) @t2))))) % 0.87/1.11 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t59) @t79)))))))) % 0.87/1.11 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t79)))))))) % 0.87/1.11 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 0.87/1.11 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t59 @t12) (tptp.app @t2 @t19))))))))) % 0.87/1.11 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t59) (and @t76 @t55))))))) % 0.87/1.11 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.87/1.11 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.hd @t59) @t56))))))) % 0.87/1.11 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.tl @t59) (tptp.app @t58 @t1)))))))) % 0.87/1.11 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 0.87/1.11 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.87/1.11 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.87/1.11 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.87/1.11 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t69)))))))) % 0.87/1.11 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 0.87/1.11 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 0.87/1.11 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 0.87/1.11 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.87/1.11 (assume @p96 @t101) % 0.87/1.11 (assume @p97 true) % 0.87/1.11 (step @p98 :rule bool-impl-elim :args (@t17 @t102)) % 0.87/1.11 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t102)))) % 0.87/1.11 (step @p100 :rule eq-symm :args (@t61 @t2)) % 0.87/1.11 (step @p101 :rule refl :args (@t17)) % 0.87/1.11 (step @p102 :rule cong :premises (@p101 @p100) :args (@t62)) % 0.87/1.11 (step @p103 :rule cong :premises (@p102) :args (@t63)) % 0.87/1.11 (step @p104 :rule trans :premises (@p103 @p99)) % 0.87/1.11 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 0.87/1.11 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t113))) % 0.87/1.11 (step @p107 :rule aci_norm :args ((= @t115 @t110))) % 0.87/1.11 (step @p108 :rule cong :premises (@p107) :args (@t116)) % 0.87/1.11 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t118) @t116))) % 0.87/1.11 (step @p110 :rule alpha_equiv :args (@t119 (@list @t103) @t121)) % 0.87/1.11 (step 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:premises (@p345 @p344)) % 0.87/1.11 (step @p347 :rule reordering :premises (@p346) :args ((or @t234 @t244))) % 0.87/1.11 (step @p348 :rule chain_m_resolution :premises (@p347 @p341) :args (@t234 @t245 @t246)) % 0.87/1.11 (step @p349 :rule cnf_or_pos :args (@t249)) % 0.87/1.11 (step @p350 :rule reordering :premises (@p349) :args ((or @t243 @t248 (not @t249)))) % 0.87/1.11 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p106) :args (@t248 @t250 @t251)) % 0.87/1.11 (step @p352 :rule aci_norm :args ((= @t259 (or @t109 @t257 @t256)))) % 0.87/1.11 (step @p353 :rule cong :premises (@p352) :args (@t260)) % 0.87/1.11 (step @p354 :rule quant-merge-prenex :args ((= (forall @t9 @t262) @t260))) % 0.87/1.11 (step @p355 :rule alpha_equiv :args (@t263 (@list @t253) @t264)) % 0.87/1.11 (step @p356 :rule nary_cong :premises (@p111 @p355) :args (@t265)) % 0.87/1.11 (step @p357 :rule quant-miniscope-or :args ((= @t262 @t265))) % 0.87/1.11 (step @p358 :rule trans :premises (@p357 @p356)) % 0.87/1.11 (step @p359 :rule symm :premises (@p358)) % 0.87/1.11 (step @p360 :rule cong :premises (@p359) :args ((forall @t9 (or @t109 @t269)))) % 0.87/1.11 (step @p361 :rule trans :premises (@p360 @p354)) % 0.87/1.11 (step @p362 :rule trans :premises (@p361 @p353)) % 0.87/1.11 (step @p363 :rule bool-impl-elim :args (@t17 @t269)) % 0.87/1.11 (step @p364 :rule cong :premises (@p363) :args ((forall @t9 (=> @t17 @t269)))) % 0.87/1.11 (step @p365 :rule trans :premises (@p364 @p362)) % 0.87/1.11 (step @p366 :rule bool-impl-elim :args (@t21 @t268)) % 0.87/1.11 (step @p367 :rule cong :premises (@p366) :args ((forall @t7 (=> @t21 @t268)))) % 0.87/1.11 (step @p368 :rule aci_norm :args ((= @t271 @t267))) % 0.87/1.11 (step @p369 :rule cong :premises (@p368) :args (@t272)) % 0.87/1.11 (step @p370 :rule quant-merge-prenex :args ((= (forall @t16 @t274) @t272))) % 0.87/1.11 (step @p371 :rule alpha_equiv :args (@t275 (@list @t252) (@list @t10))) % 0.87/1.11 (step @p372 :rule nary_cong :premises (@p192 @p371) :args (@t276)) % 0.87/1.11 (step @p373 :rule quant-miniscope-or :args ((= @t274 @t276))) % 0.87/1.11 (step @p374 :rule trans :premises (@p373 @p372)) % 0.87/1.11 (step @p375 :rule symm :premises (@p374)) % 0.87/1.11 (step @p376 :rule cong :premises (@p375) :args ((forall @t16 (or @t166 @t278)))) % 0.87/1.11 (step @p377 :rule trans :premises (@p376 @p370)) % 0.87/1.11 (step @p378 :rule trans :premises (@p377 @p369)) % 0.87/1.11 (step @p379 :rule bool-double-not-elim :args (@t278)) % 0.87/1.11 (step @p380 :rule nary_cong :premises (@p192 @p379) :args ((or @t166 (not @t279)))) % 0.87/1.11 (step @p381 :rule bool-and-de-morgan :args (@t15 @t279 true)) % 0.87/1.11 (step @p382 :rule trans :premises (@p381 @p380)) % 0.87/1.11 (step @p383 :rule cong :premises (@p382) :args (@t281)) % 0.87/1.11 (step @p384 :rule trans :premises (@p383 @p378)) % 0.87/1.11 (step @p385 :rule cong :premises (@p384) :args (@t282)) % 0.87/1.11 (step @p386 :rule exists-elim :args ((= (exists @t16 @t280) @t282))) % 0.87/1.11 (step @p387 :rule trans :premises (@p386 @p385)) % 0.87/1.11 (step @p388 :rule bool-and-de-morgan :args (@t13 @t277 true)) % 0.87/1.11 (step @p389 :rule cong :premises (@p388) :args (@t284)) % 0.87/1.11 (step @p390 :rule cong :premises (@p389) :args (@t285)) % 0.87/1.11 (step @p391 :rule exists-elim :args ((= (exists @t14 @t283) @t285))) % 0.87/1.11 (step @p392 :rule trans :premises (@p391 @p390)) % 0.87/1.11 (step @p393 :rule eq-symm :args (@t24 @t2)) % 0.87/1.11 (step @p394 :rule nary_cong :premises (@p324 @p393) :args (@t25)) % 0.87/1.11 (step @p395 :rule cong :premises (@p394) :args (@t26)) % 0.87/1.11 (step @p396 :rule trans :premises (@p395 @p392)) % 0.87/1.11 (step @p397 :rule nary_cong :premises (@p328 @p396) :args (@t27)) % 0.87/1.11 (step @p398 :rule cong :premises (@p397) :args (@t28)) % 0.87/1.11 (step @p399 :rule trans :premises (@p398 @p387)) % 0.87/1.11 (step @p400 :rule refl :args (@t29)) % 0.87/1.11 (step @p401 :rule cong :premises (@p400 @p399) :args (@t30)) % 0.87/1.11 (step @p402 :rule cong :premises (@p332 @p401) :args (@t31)) % 0.87/1.11 (step @p403 :rule cong :premises (@p402) :args (@t32)) % 0.87/1.11 (step @p404 :rule trans :premises (@p403 @p367)) % 0.87/1.11 (step @p405 :rule cong :premises (@p101 @p404) :args (@t33)) % 0.87/1.11 (step @p406 :rule cong :premises (@p405) :args (@t34)) % 0.87/1.11 (step @p407 :rule trans :premises (@p406 @p365)) % 0.87/1.11 (step @p408 :rule eq_resolve :premises (@p7 @p407)) % 0.87/1.11 (step @p409 :rule instantiate :premises (@p408) :args ((@list @t239 @t113))) % 0.87/1.11 (step @p410 :rule bool-double-not-elim :args (@t241)) % 0.87/1.11 (step @p411 :rule nary_cong :premises (@p343 @p410) :args ((or @t244 (not @t242)))) % 0.87/1.11 (step @p412 :rule cnf_or_neg :args (@t244 1)) % 0.87/1.11 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 0.87/1.11 (step @p414 :rule reordering :premises (@p413) :args ((or @t241 @t244))) % 0.87/1.11 (step @p415 :rule chain_m_resolution :premises (@p414 @p341) :args (@t241 @t245 @t246)) % 0.87/1.11 (step @p416 :rule cnf_or_pos :args (@t289)) % 0.87/1.11 (step @p417 :rule reordering :premises (@p416) :args ((or @t243 @t242 @t288 (not @t289)))) % 0.87/1.11 (step @p418 :rule chain_m_resolution :premises (@p417 @p348 @p415 @p409) :args (@t288 @t290 (@list @t234 @t241 @t289))) % 0.87/1.11 (step @p419 :rule cnf_or_neg :args (@t244 3)) % 0.87/1.11 (step @p420 :rule chain_m_resolution :premises (@p419 @p341) :args ((not @t240) @t245 @t246)) % 0.87/1.11 (step @p421 :rule bool-double-not-elim :args (@t286)) % 0.87/1.11 (step @p422 :rule refl :args (@t240)) % 0.87/1.11 (step @p423 :rule refl :args (@t291)) % 0.87/1.11 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421) :args ((or @t291 @t240 (not @t287)))) % 0.87/1.11 (step @p425 :rule cnf_equiv_pos2 :args (@t288)) % 0.87/1.11 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 0.87/1.11 (step @p427 :rule reordering :premises (@p426) :args ((or @t240 @t286 @t291))) % 0.87/1.11 (step @p428 :rule chain_m_resolution :premises (@p427 @p420 @p418) :args (@t286 @t292 (@list @t240 @t288))) % 0.87/1.11 (step @p429 :rule instantiate :premises (@p428) :args ((@list tptp.nil @t238))) % 0.87/1.11 (step @p430 :rule aci_norm :args ((= @t297 (or @t109 @t295 @t294)))) % 0.87/1.11 (step @p431 :rule cong :premises (@p430) :args (@t298)) % 0.87/1.11 (step @p432 :rule quant-merge-prenex :args ((= (forall @t9 @t300) @t298))) % 0.87/1.11 (step @p433 :rule alpha_equiv :args (@t301 (@list @t293) @t264)) % 0.87/1.11 (step @p434 :rule nary_cong :premises (@p111 @p433) :args (@t302)) % 0.87/1.11 (step @p435 :rule quant-miniscope-or :args ((= @t300 @t302))) % 0.87/1.11 (step @p436 :rule trans :premises (@p435 @p434)) % 0.87/1.11 (step @p437 :rule symm :premises (@p436)) % 0.87/1.11 (step @p438 :rule cong :premises (@p437) :args ((forall @t9 (or @t109 @t303)))) % 0.87/1.11 (step @p439 :rule trans :premises (@p438 @p432)) % 0.87/1.11 (step @p440 :rule trans :premises (@p439 @p431)) % 0.87/1.11 (step @p441 :rule bool-impl-elim :args (@t17 @t303)) % 0.87/1.11 (step @p442 :rule cong :premises (@p441) :args ((forall @t9 (=> @t17 @t303)))) % 0.87/1.11 (step @p443 :rule trans :premises (@p442 @p440)) % 0.87/1.11 (step @p444 :rule bool-impl-elim :args (@t6 @t48)) % 0.87/1.11 (step @p445 :rule cong :premises (@p444) :args (@t49)) % 0.87/1.11 (step @p446 :rule cong :premises (@p101 @p445) :args (@t50)) % 0.87/1.11 (step @p447 :rule cong :premises (@p446) :args (@t51)) % 0.87/1.11 (step @p448 :rule trans :premises (@p447 @p443)) % 0.87/1.11 (step @p449 :rule eq_resolve :premises (@p16 @p448)) % 0.87/1.11 (step @p450 :rule instantiate :premises (@p449) :args ((@list tptp.nil @t235))) % 0.87/1.11 (step @p451 :rule bool-double-not-elim :args (@t236)) % 0.87/1.11 (step @p452 :rule nary_cong :premises (@p343 @p451) :args ((or @t244 (not @t237)))) % 0.87/1.11 (step @p453 :rule cnf_or_neg :args (@t244 4)) % 0.87/1.11 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.87/1.11 (step @p455 :rule reordering :premises (@p454) :args ((or @t236 @t244))) % 0.87/1.11 (step @p456 :rule chain_m_resolution :premises (@p455 @p341) :args (@t236 @t245 @t246)) % 0.87/1.11 (step @p457 :rule cnf_or_pos :args (@t306)) % 0.87/1.11 (step @p458 :rule reordering :premises (@p457) :args ((or @t305 @t237 @t304 (not @t306)))) % 0.87/1.11 (step @p459 :rule chain_m_resolution :premises (@p458 @p17 @p456 @p450) :args (@t304 @t290 (@list @t52 @t236 @t306))) % 0.87/1.11 (step @p460 :rule cnf_or_pos :args (@t310)) % 0.87/1.11 (step @p461 :rule reordering :premises (@p460) :args ((or @t305 @t309 @t308 (not @t310)))) % 0.87/1.11 (step @p462 :rule chain_m_resolution :premises (@p461 @p17 @p459 @p429) :args (@t308 @t290 (@list @t52 @t304 @t310))) % 0.87/1.11 (step @p463 :rule bool-double-not-elim :args (@t307)) % 0.87/1.11 (step @p464 :rule refl :args (@t311)) % 0.87/1.11 (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or @t311 (not @t308)))) % 0.87/1.11 (assume-push @p492 @t307) % 0.87/1.11 (assume-push @p493 @t308) % 0.87/1.11 (step @p468 :rule evaluate :args ((= true false))) % 0.87/1.11 (step @p469 :rule false_intro :premises (@p462)) % 0.87/1.11 (step @p470 :rule refl :args (@t238)) % 0.87/1.11 (step @p471 :rule chain_m_resolution :premises (@p350 @p348 @p106) :args (@t248 @t250 @t251)) % 0.87/1.11 (step @p472 :rule cong :premises (@p471 @p470) :args (@t239)) % 0.87/1.11 (step @p473 :rule true_intro :premises (@p472)) % 0.87/1.11 (step @p474 :rule symm :premises (@p473)) % 0.87/1.11 (step @p475 :rule trans :premises (@p474 @p469)) % 0.87/1.11 (step @p476 false :rule eq_resolve :premises (@p475 @p468)) % 0.87/1.11 (step-pop @p494 :rule scope :premises (@p476)) % 0.87/1.11 (step-pop @p495 :rule scope :premises (@p494)) % 0.87/1.11 (step @p477 :rule process_scope :premises (@p495) :args (false)) % 0.87/1.11 (assume-push @p496 @t248) % 0.87/1.11 (assume-push @p497 @t308) % 0.87/1.11 (step @p470 :rule refl :args (@t238)) % 0.87/1.11 (step @p482 :rule cong :premises (@p351 @p470) :args (@t239)) % 0.87/1.11 (step @p483 :rule and_intro :premises (@p482 @p462)) % 0.87/1.11 (step-pop @p498 :rule scope :premises (@p483)) % 0.87/1.11 (step-pop @p499 :rule scope :premises (@p498)) % 0.87/1.11 (step @p484 :rule process_scope :premises (@p499) :args (@t312)) % 0.87/1.11 (step @p487 :rule implies_elim :premises (@p484)) % 0.87/1.11 (step @p488 :rule resolution :premises (@p487 @p477) :args (true @t312)) % 0.87/1.11 (step @p489 :rule not_and :premises (@p488)) % 0.87/1.11 (step @p490 :rule eq_resolve :premises (@p489 @p465)) % 0.87/1.11 (step @p491 false :rule chain_m_resolution :premises (@p490 @p462 @p351) :args (false @t292 (@list @t307 @t248))) % 0.87/1.11 ) % 0.87/1.11 % SZS output end Proof % 0.87/1.11 % cvc5 exiting %------------------------------------------------------------------------------