%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC206+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 : n008.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 08:58:27 AM UTC 2026 % Result : Theorem 0.36s 0.73s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC206+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 19:24:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.73 % SZS status Theorem % 0.36/0.73 % SZS output start Proof % 0.36/0.73 ( % 0.36/0.73 (declare-sort $$unsorted 0) % 0.36/0.73 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.73 (declare-const tptp.nil $$unsorted) % 0.36/0.73 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.73 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.73 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.73 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.73 (define @t3 () (= @t2 @t1)) % 0.36/0.73 (define @t4 () (not @t3)) % 0.36/0.73 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.73 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.73 (define @t7 () (@list @t1)) % 0.36/0.73 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.73 (define @t9 () (@list @t2)) % 0.36/0.73 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.73 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.73 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.73 (define @t13 () (tptp.ssList @t10)) % 0.36/0.73 (define @t14 () (@list @t10)) % 0.36/0.73 (define @t15 () (tptp.ssList @t12)) % 0.36/0.73 (define @t16 () (@list @t12)) % 0.36/0.73 (define @t17 () (tptp.ssList @t2)) % 0.36/0.73 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.73 (define @t19 () (tptp.app @t1 @t12)) % 0.36/0.73 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.36/0.73 (define @t21 () (tptp.ssList @t1)) % 0.36/0.73 (define @t22 () (tptp.app @t12 @t1)) % 0.36/0.73 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.36/0.73 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.36/0.73 (define @t25 () (tptp.leq @t12 @t1)) % 0.36/0.73 (define @t26 () (tptp.leq @t1 @t12)) % 0.36/0.73 (define @t27 () (@var "Z" $$unsorted)) % 0.36/0.73 (define @t28 () (@var "Y" $$unsorted)) % 0.36/0.73 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.36/0.73 (define @t30 () (tptp.ssList @t27)) % 0.36/0.73 (define @t31 () (@list @t27)) % 0.36/0.73 (define @t32 () (tptp.ssList @t28)) % 0.36/0.73 (define @t33 () (@list @t28)) % 0.36/0.73 (define @t34 () (tptp.ssItem @t12)) % 0.36/0.73 (define @t35 () (tptp.lt @t1 @t12)) % 0.36/0.73 (define @t36 () (= @t1 @t12)) % 0.36/0.73 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.36/0.73 (define @t38 () (=> @t17 @t37)) % 0.36/0.73 (define @t39 () (forall @t9 @t38)) % 0.36/0.73 (define @t40 () (tptp.cons @t1 @t2)) % 0.36/0.73 (define @t41 () (tptp.ssList tptp.nil)) % 0.36/0.73 (define @t42 () (= @t1 @t2)) % 0.36/0.73 (define @t43 () (tptp.cons @t12 @t1)) % 0.36/0.73 (define @t44 () (= tptp.nil @t2)) % 0.36/0.73 (define @t45 () (tptp.hd @t2)) % 0.36/0.73 (define @t46 () (not @t44)) % 0.36/0.73 (define @t47 () (tptp.tl @t2)) % 0.36/0.73 (define @t48 () (tptp.app @t2 @t1)) % 0.36/0.73 (define @t49 () (tptp.app @t1 @t2)) % 0.36/0.73 (define @t50 () (tptp.leq @t1 @t2)) % 0.36/0.73 (define @t51 () (tptp.leq @t2 @t1)) % 0.36/0.73 (define @t52 () (tptp.geq @t2 @t1)) % 0.36/0.73 (define @t53 () (tptp.lt @t1 @t2)) % 0.36/0.73 (define @t54 () (tptp.lt @t2 @t1)) % 0.36/0.73 (define @t55 () (tptp.lt @t2 @t12)) % 0.36/0.73 (define @t56 () (tptp.gt @t2 @t1)) % 0.36/0.73 (define @t57 () (tptp.memberP @t12 @t2)) % 0.36/0.73 (define @t58 () (tptp.app @t12 @t2)) % 0.36/0.73 (define @t59 () (tptp.segmentP tptp.nil @t2)) % 0.36/0.73 (define @t60 () (=> @t17 (= @t59 @t44))) % 0.36/0.73 (define @t61 () (forall @t9 @t60)) % 0.36/0.73 (define @t62 () (tptp.cons @t2 tptp.nil)) % 0.36/0.73 (define @t63 () (tptp.hd @t1)) % 0.36/0.73 (define @t64 () (= tptp.nil @t1)) % 0.36/0.73 (define @t65 () (not @t64)) % 0.36/0.73 (define @t66 () (tptp.cons @t2 @t1)) % 0.36/0.73 (define @t67 () (= @t12 @t2)) % 0.36/0.73 (define @t68 () (tptp.neq @t10 tptp.nil)) % 0.36/0.73 (define @t69 () (not (tptp.segmentP @t12 @t28))) % 0.36/0.73 (define @t70 () (not (tptp.segmentP @t10 @t28))) % 0.36/0.73 (define @t71 () (not (tptp.neq @t28 tptp.nil))) % 0.36/0.73 (define @t72 () (or @t71 @t70 @t69)) % 0.36/0.73 (define @t73 () (forall @t33 (=> @t32 @t72))) % 0.36/0.73 (define @t74 () (and @t73 @t68)) % 0.36/0.73 (define @t75 () (not (= tptp.nil @t12))) % 0.36/0.73 (define @t76 () (and @t75 (= tptp.nil @t10))) % 0.36/0.73 (define @t77 () (tptp.neq @t2 tptp.nil)) % 0.36/0.73 (define @t78 () (tptp.neq @t1 tptp.nil)) % 0.36/0.73 (define @t79 () (not @t78)) % 0.36/0.73 (define @t80 () (not (= @t2 @t12))) % 0.36/0.73 (define @t81 () (not (= @t1 @t10))) % 0.36/0.73 (define @t82 () (or @t81 @t80 @t79 @t77 @t76 @t74)) % 0.36/0.73 (define @t83 () (=> @t13 @t82)) % 0.36/0.73 (define @t84 () (forall @t14 @t83)) % 0.36/0.73 (define @t85 () (=> @t15 @t84)) % 0.36/0.73 (define @t86 () (forall @t16 @t85)) % 0.36/0.73 (define @t87 () (=> @t21 @t86)) % 0.36/0.73 (define @t88 () (forall @t7 @t87)) % 0.36/0.73 (define @t89 () (=> @t17 @t88)) % 0.36/0.73 (define @t90 () (forall @t9 @t89)) % 0.36/0.73 (define @t91 () (not @t90)) % 0.36/0.73 (define @t92 () (@var "BOUND_VARIABLE_11073" $$unsorted)) % 0.36/0.73 (define @t93 () (tptp.neq @t92 tptp.nil)) % 0.36/0.73 (define @t94 () (@var "BOUND_VARIABLE_11075" $$unsorted)) % 0.36/0.73 (define @t95 () (and (or (not (tptp.ssList @t94)) (not (tptp.neq @t94 tptp.nil)) (not (tptp.segmentP @t92 @t94)) (not (tptp.segmentP @t2 @t94))) @t93)) % 0.36/0.73 (define @t96 () (= @t2 tptp.nil)) % 0.36/0.73 (define @t97 () (not @t96)) % 0.36/0.73 (define @t98 () (and @t97 (= @t92 tptp.nil))) % 0.36/0.73 (define @t99 () (not @t93)) % 0.36/0.73 (define @t100 () (not (tptp.ssList @t92))) % 0.36/0.73 (define @t101 () (not @t17)) % 0.36/0.73 (define @t102 () (or @t101 @t77 @t100 @t99 @t98 @t95)) % 0.36/0.73 (define @t103 () (or @t100 @t99 @t98 @t95)) % 0.36/0.73 (define @t104 () (or @t101 @t77 @t103)) % 0.36/0.73 (define @t105 () (@list @t2 @t92 @t94)) % 0.36/0.73 (define @t106 () (forall @t105 @t104)) % 0.36/0.73 (define @t107 () (@list @t92 @t94)) % 0.36/0.73 (define @t108 () (forall @t107 @t104)) % 0.36/0.73 (define @t109 () (forall @t107 @t103)) % 0.36/0.73 (define @t110 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 0.36/0.73 (define @t111 () (or @t101 @t77 @t109)) % 0.36/0.73 (define @t112 () (or (not (tptp.ssList @t110)) (not (tptp.neq @t110 tptp.nil)) (not (tptp.segmentP @t1 @t110)) (not (tptp.segmentP @t2 @t110)))) % 0.36/0.73 (define @t113 () (and @t112 @t78)) % 0.36/0.73 (define @t114 () (= @t1 tptp.nil)) % 0.36/0.73 (define @t115 () (and @t97 @t114)) % 0.36/0.73 (define @t116 () (not @t21)) % 0.36/0.73 (define @t117 () (or @t116 @t79 @t115 @t113)) % 0.36/0.73 (define @t118 () (forall (@list @t1 @t110) @t117)) % 0.36/0.73 (define @t119 () (or @t101 @t77 @t118)) % 0.36/0.73 (define @t120 () (or @t77 @t101 @t118)) % 0.36/0.73 (define @t121 () (@list @t110)) % 0.36/0.73 (define @t122 () (forall @t121 @t117)) % 0.36/0.73 (define @t123 () (forall @t121 @t78)) % 0.36/0.73 (define @t124 () (forall @t121 @t112)) % 0.36/0.73 (define @t125 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 0.36/0.73 (define @t126 () (@list @t125)) % 0.36/0.73 (define @t127 () (and @t124 @t123)) % 0.36/0.73 (define @t128 () (forall @t121 @t113)) % 0.36/0.73 (define @t129 () (or @t116 @t79 @t115 @t128)) % 0.36/0.73 (define @t130 () (and (forall (@list @t125) (or (not (tptp.ssList @t125)) (not (tptp.neq @t125 tptp.nil)) (not (tptp.segmentP @t1 @t125)) (not (tptp.segmentP @t2 @t125)))) @t78)) % 0.36/0.73 (define @t131 () (or @t116 @t79 @t115 @t130)) % 0.36/0.73 (define @t132 () (forall @t7 @t131)) % 0.36/0.73 (define @t133 () (or @t77 @t101 @t132)) % 0.36/0.73 (define @t134 () (or @t77 @t101 @t131)) % 0.36/0.73 (define @t135 () (or @t116 @t79 @t77 @t101 @t115 @t130)) % 0.36/0.73 (define @t136 () (or @t79 @t77 @t116 @t101 @t115 @t130)) % 0.36/0.73 (define @t137 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 0.36/0.73 (define @t138 () (@list @t137)) % 0.36/0.73 (define @t139 () (forall @t138 @t78)) % 0.36/0.73 (define @t140 () (not (tptp.segmentP @t1 @t137))) % 0.36/0.73 (define @t141 () (not (tptp.neq @t137 tptp.nil))) % 0.36/0.73 (define @t142 () (not (tptp.ssList @t137))) % 0.36/0.73 (define @t143 () (or @t142 @t141 @t140 (not (tptp.segmentP @t2 @t137)))) % 0.36/0.73 (define @t144 () (forall @t138 @t143)) % 0.36/0.73 (define @t145 () (@list @t137)) % 0.36/0.73 (define @t146 () (and @t144 @t139)) % 0.36/0.73 (define @t147 () (and @t143 @t78)) % 0.36/0.73 (define @t148 () (forall @t138 @t147)) % 0.36/0.73 (define @t149 () (or @t101 @t115 @t148)) % 0.36/0.73 (define @t150 () (or @t101 @t115 @t147)) % 0.36/0.73 (define @t151 () (not (= @t2 @t2))) % 0.36/0.73 (define @t152 () (or @t101 @t151 @t115 @t147)) % 0.36/0.73 (define @t153 () (or @t142 @t141 @t140 (not (tptp.segmentP @t12 @t137)))) % 0.36/0.73 (define @t154 () (and @t153 @t78)) % 0.36/0.73 (define @t155 () (not (= @t12 tptp.nil))) % 0.36/0.73 (define @t156 () (and @t155 @t114)) % 0.36/0.73 (define @t157 () (not @t15)) % 0.36/0.73 (define @t158 () (or @t80 @t157 @t80 @t156 @t154)) % 0.36/0.73 (define @t159 () (or @t157 @t80 @t156 @t154)) % 0.36/0.73 (define @t160 () (forall @t16 @t159)) % 0.36/0.73 (define @t161 () (forall @t138 @t160)) % 0.36/0.73 (define @t162 () (forall (@list @t137 @t12) @t159)) % 0.36/0.73 (define @t163 () (forall (@list @t12 @t137) @t159)) % 0.36/0.73 (define @t164 () (forall @t138 @t159)) % 0.36/0.73 (define @t165 () (forall @t138 @t153)) % 0.36/0.73 (define @t166 () (@var "BOUND_VARIABLE_10971" $$unsorted)) % 0.36/0.73 (define @t167 () (@list @t166)) % 0.36/0.73 (define @t168 () (and @t165 @t139)) % 0.36/0.73 (define @t169 () (forall @t138 @t154)) % 0.36/0.73 (define @t170 () (or @t157 @t80 @t156 @t169)) % 0.36/0.73 (define @t171 () (and (forall (@list @t166) (or (not (tptp.ssList @t166)) (not (tptp.neq @t166 tptp.nil)) (not (tptp.segmentP @t1 @t166)) (not (tptp.segmentP @t12 @t166)))) @t78)) % 0.36/0.73 (define @t172 () (or @t157 @t80 @t156 @t171)) % 0.36/0.73 (define @t173 () (forall @t16 @t172)) % 0.36/0.73 (define @t174 () (or @t79 @t77 @t116 @t173)) % 0.36/0.73 (define @t175 () (or @t79 @t77 @t116 @t172)) % 0.36/0.73 (define @t176 () (or @t157 @t80 @t79 @t77 @t116 @t156 @t171)) % 0.36/0.73 (define @t177 () (or @t80 @t79 @t77 @t116 @t156 @t171)) % 0.36/0.73 (define @t178 () (@var "BOUND_VARIABLE_10943" $$unsorted)) % 0.36/0.73 (define @t179 () (@list @t178)) % 0.36/0.73 (define @t180 () (forall @t179 @t78)) % 0.36/0.73 (define @t181 () (not (tptp.segmentP @t12 @t178))) % 0.36/0.73 (define @t182 () (not (tptp.neq @t178 tptp.nil))) % 0.36/0.73 (define @t183 () (not (tptp.ssList @t178))) % 0.36/0.73 (define @t184 () (or @t183 @t182 (not (tptp.segmentP @t1 @t178)) @t181)) % 0.36/0.73 (define @t185 () (forall @t179 @t184)) % 0.36/0.73 (define @t186 () (@list @t178)) % 0.36/0.73 (define @t187 () (and @t185 @t180)) % 0.36/0.73 (define @t188 () (and @t184 @t78)) % 0.36/0.73 (define @t189 () (forall @t179 @t188)) % 0.36/0.73 (define @t190 () (or @t116 @t156 @t189)) % 0.36/0.73 (define @t191 () (or @t116 @t156 @t188)) % 0.36/0.73 (define @t192 () (not (= @t1 @t1))) % 0.36/0.73 (define @t193 () (or @t116 @t192 @t156 @t188)) % 0.36/0.73 (define @t194 () (or @t183 @t182 (not (tptp.segmentP @t10 @t178)) @t181)) % 0.36/0.73 (define @t195 () (and @t194 @t68)) % 0.36/0.73 (define @t196 () (and @t155 (= @t10 tptp.nil))) % 0.36/0.73 (define @t197 () (not @t13)) % 0.36/0.73 (define @t198 () (or @t81 @t197 @t81 @t196 @t195)) % 0.36/0.73 (define @t199 () (or @t197 @t81 @t196 @t195)) % 0.36/0.73 (define @t200 () (forall @t14 @t199)) % 0.36/0.73 (define @t201 () (forall @t179 @t200)) % 0.36/0.73 (define @t202 () (forall (@list @t178 @t10) @t199)) % 0.36/0.73 (define @t203 () (forall (@list @t10 @t178) @t199)) % 0.36/0.73 (define @t204 () (forall @t179 @t199)) % 0.36/0.73 (define @t205 () (forall @t179 @t68)) % 0.36/0.73 (define @t206 () (forall @t179 @t194)) % 0.36/0.73 (define @t207 () (and @t206 @t205)) % 0.36/0.73 (define @t208 () (forall @t179 @t195)) % 0.36/0.73 (define @t209 () (or @t197 @t81 @t196 @t208)) % 0.36/0.73 (define @t210 () (not @t32)) % 0.36/0.73 (define @t211 () (or @t210 @t71 @t70 @t69)) % 0.36/0.73 (define @t212 () (and (forall @t33 @t211) @t68)) % 0.36/0.73 (define @t213 () (or @t197 @t81 @t196 @t212)) % 0.36/0.73 (define @t214 () (forall @t14 @t213)) % 0.36/0.73 (define @t215 () (or @t80 @t79 @t77 @t214)) % 0.36/0.73 (define @t216 () (or @t80 @t79 @t77 @t213)) % 0.36/0.73 (define @t217 () (or @t197 @t81 @t80 @t79 @t77 @t196 @t212)) % 0.36/0.73 (define @t218 () (or @t81 @t80 @t79 @t77 @t196 @t212)) % 0.36/0.73 (define @t219 () (forall @t105 (or @t101 @t77 @t100 @t99 (and @t97 (= tptp.nil @t92)) @t95))) % 0.36/0.73 (define @t220 () (@quantifiers_skolemize @t219 1)) % 0.36/0.73 (define @t221 () (tptp.neq @t220 tptp.nil)) % 0.36/0.73 (define @t222 () (@quantifiers_skolemize @t219 2)) % 0.36/0.73 (define @t223 () (@quantifiers_skolemize @t219 0)) % 0.36/0.73 (define @t224 () (tptp.segmentP @t223 @t222)) % 0.36/0.73 (define @t225 () (not @t224)) % 0.36/0.73 (define @t226 () (tptp.neq @t222 tptp.nil)) % 0.36/0.73 (define @t227 () (not @t226)) % 0.36/0.73 (define @t228 () (tptp.ssList @t222)) % 0.36/0.73 (define @t229 () (not @t228)) % 0.36/0.73 (define @t230 () (or @t229 @t227 (not (tptp.segmentP @t220 @t222)) @t225)) % 0.36/0.73 (define @t231 () (and @t230 @t221)) % 0.36/0.73 (define @t232 () (= tptp.nil @t220)) % 0.36/0.73 (define @t233 () (= tptp.nil @t223)) % 0.36/0.73 (define @t234 () (not @t233)) % 0.36/0.73 (define @t235 () (not @t221)) % 0.36/0.73 (define @t236 () (not (tptp.ssList @t220))) % 0.36/0.73 (define @t237 () (tptp.neq @t223 tptp.nil)) % 0.36/0.73 (define @t238 () (tptp.ssList @t223)) % 0.36/0.73 (define @t239 () (not @t238)) % 0.36/0.73 (define @t240 () (or @t239 @t237 @t236 @t235 (and @t234 @t232) @t231)) % 0.36/0.73 (define @t241 () (not @t240)) % 0.36/0.73 (define @t242 () (not @t219)) % 0.36/0.73 (define @t243 () (not (= @t223 tptp.nil))) % 0.36/0.73 (define @t244 () (and @t243 @t232)) % 0.36/0.73 (define @t245 () (or @t239 @t237 @t236 @t235 @t244 @t231)) % 0.36/0.73 (define @t246 () (not @t245)) % 0.36/0.73 (define @t247 () (@list true)) % 0.36/0.73 (define @t248 () (@list @t240)) % 0.36/0.73 (define @t249 () (not @t230)) % 0.36/0.73 (define @t250 () (@list @t230)) % 0.36/0.73 (define @t251 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 0.36/0.73 (define @t252 () (= (tptp.neq @t2 @t251) (not (= @t2 @t251)))) % 0.36/0.73 (define @t253 () (not (tptp.ssList @t251))) % 0.36/0.73 (define @t254 () (or @t101 @t253 @t252)) % 0.36/0.73 (define @t255 () (or @t253 @t252)) % 0.36/0.73 (define @t256 () (or @t101 @t255)) % 0.36/0.73 (define @t257 () (@list @t2 @t251)) % 0.36/0.73 (define @t258 () (forall @t257 @t256)) % 0.36/0.73 (define @t259 () (@list @t251)) % 0.36/0.73 (define @t260 () (forall @t259 @t256)) % 0.36/0.73 (define @t261 () (forall @t259 @t255)) % 0.36/0.73 (define @t262 () (or @t101 @t261)) % 0.36/0.73 (define @t263 () (forall @t7 (or @t116 @t5))) % 0.36/0.73 (define @t264 () (= @t237 @t243)) % 0.36/0.73 (define @t265 () (not @t41)) % 0.36/0.73 (define @t266 () (or @t239 @t265 @t264)) % 0.36/0.73 (define @t267 () (forall @t257 @t254)) % 0.36/0.73 (define @t268 () (= @t237 @t234)) % 0.36/0.73 (define @t269 () (or @t239 @t265 @t268)) % 0.36/0.73 (define @t270 () (@list false)) % 0.36/0.73 (define @t271 () (@list @t267)) % 0.36/0.73 (define @t272 () (@list false false false)) % 0.36/0.73 (define @t273 () (not @t268)) % 0.36/0.73 (define @t274 () (@list true false)) % 0.36/0.73 (define @t275 () (= @t59 @t96)) % 0.36/0.73 (define @t276 () (tptp.segmentP tptp.nil @t222)) % 0.36/0.73 (define @t277 () (= @t222 tptp.nil)) % 0.36/0.73 (define @t278 () (or @t229 (= @t276 @t277))) % 0.36/0.73 (define @t279 () (forall @t9 (or @t101 @t275))) % 0.36/0.73 (define @t280 () (= tptp.nil @t222)) % 0.36/0.73 (define @t281 () (= @t280 @t276)) % 0.36/0.73 (define @t282 () (or @t229 @t281)) % 0.36/0.73 (define @t283 () (@list false false)) % 0.36/0.73 (define @t284 () (not @t277)) % 0.36/0.73 (define @t285 () (= @t226 @t284)) % 0.36/0.73 (define @t286 () (or @t229 @t265 @t285)) % 0.36/0.73 (define @t287 () (not @t280)) % 0.36/0.73 (define @t288 () (= @t226 @t287)) % 0.36/0.73 (define @t289 () (or @t229 @t265 @t288)) % 0.36/0.73 (define @t290 () (not @t276)) % 0.36/0.73 (define @t291 () (and @t224 @t233)) % 0.36/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.73 (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))))))))))) % 0.36/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.36/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.36/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.36/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.36/0.73 (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))))))))))))))))) % 0.36/0.73 (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)))))))))))))))) % 0.36/0.73 (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))))))))))))))))) % 0.36/0.73 (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))))))))))))))) % 0.36/0.73 (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))))))))))))))) % 0.36/0.73 (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)))))))))))))))) % 0.36/0.73 (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))))))))))))) % 0.36/0.73 (assume @p15 @t39) % 0.36/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 0.36/0.73 (assume @p17 @t41) % 0.36/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.36/0.73 (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) @t42))))))))))) % 0.36/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 0.36/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.36/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 0.36/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.36/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 0.36/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.36/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 0.36/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 0.36/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3)))))) % 0.36/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12))))))))) % 0.36/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50)))))) % 0.36/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53))))))) % 0.36/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55)))))))) % 0.36/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53)))))) % 0.36/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57))))))))) % 0.36/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57))))))))) % 0.36/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.73 (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)))))))))))) % 0.36/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 0.36/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1))))))))) % 0.36/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 0.36/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1))))))))))) % 0.36/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.73 (assume @p58 @t61) % 0.36/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t62)))) % 0.36/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t62)))) % 0.36/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t62)))) % 0.36/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t62)))) % 0.36/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t66) (or @t64 (and @t65 (tptp.totalorderedP @t1) (tptp.leq @t2 @t63))))))))) % 0.36/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t62)))) % 0.36/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t66) (or @t64 (and @t65 (tptp.strictorderedP @t1) (tptp.lt @t2 @t63))))))))) % 0.36/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t62)))) % 0.36/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.36/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t62)))) % 0.36/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.36/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 0.36/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 0.36/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t65 @t46 (= @t63 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 0.36/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 0.36/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t67)))))))) % 0.36/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t67)))))))) % 0.36/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.36/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))))))))) % 0.36/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) (and @t64 @t44))))))) % 0.36/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 0.36/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 0.36/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3)))))) % 0.36/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.36/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.36/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.36/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55)))))))) % 0.36/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54))))))) % 0.36/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51))))))) % 0.36/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2)))))))) % 0.36/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.36/0.73 (assume @p96 @t91) % 0.36/0.73 (assume @p97 true) % 0.36/0.73 (step @p98 :rule refl :args (@t95)) % 0.36/0.73 (step @p99 :rule eq-symm :args (@t92 tptp.nil)) % 0.36/0.73 (step @p100 :rule refl :args (@t97)) % 0.36/0.73 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t98)) % 0.36/0.73 (step @p102 :rule refl :args (@t99)) % 0.36/0.73 (step @p103 :rule refl :args (@t100)) % 0.36/0.73 (step @p104 :rule refl :args (@t77)) % 0.36/0.73 (step @p105 :rule refl :args (@t101)) % 0.36/0.73 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p98) :args (@t102)) % 0.36/0.73 (step @p107 :rule aci_norm :args ((= @t104 @t102))) % 0.36/0.73 (step @p108 :rule trans :premises (@p107 @p106)) % 0.36/0.73 (step @p109 :rule cong :premises (@p108) :args (@t106)) % 0.36/0.73 (step @p110 :rule quant-merge-prenex :args ((= (forall @t9 @t108) @t106))) % 0.36/0.73 (step @p111 :rule alpha_equiv :args (@t109 (@list @t92 @t94) (@list @t1 @t110))) % 0.36/0.73 (step @p112 :rule refl :args (@t77)) % 0.36/0.73 (step @p113 :rule refl :args (@t101)) % 0.36/0.73 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t111)) % 0.36/0.73 (step @p115 :rule quant-miniscope-or :args ((= @t108 @t111))) % 0.36/0.73 (step @p116 :rule trans :premises (@p115 @p114)) % 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@p349 :rule eq_resolve :premises (@p348 @p347)) % 0.36/0.73 (step @p350 :rule reordering :premises (@p349) :args ((or @t224 @t230))) % 0.36/0.73 (step @p351 :rule chain_m_resolution :premises (@p350 @p344) :args (@t224 @t247 @t250)) % 0.36/0.73 (step @p352 :rule aci_norm :args ((= @t256 @t254))) % 0.36/0.73 (step @p353 :rule cong :premises (@p352) :args (@t258)) % 0.36/0.73 (step @p354 :rule quant-merge-prenex :args ((= (forall @t9 @t260) @t258))) % 0.36/0.73 (step @p355 :rule alpha_equiv :args (@t261 (@list @t251) (@list @t1))) % 0.36/0.73 (step @p356 :rule nary_cong :premises (@p113 @p355) :args (@t262)) % 0.36/0.73 (step @p357 :rule quant-miniscope-or :args ((= @t260 @t262))) % 0.36/0.73 (step @p358 :rule trans :premises (@p357 @p356)) % 0.36/0.73 (step @p359 :rule symm :premises (@p358)) % 0.36/0.73 (step @p360 :rule cong :premises (@p359) :args ((forall @t9 (or @t101 @t263)))) % 0.36/0.73 (step @p361 :rule trans :premises (@p360 @p354)) % 0.36/0.73 (step @p362 :rule trans :premises (@p361 @p353)) % 0.36/0.73 (step @p363 :rule bool-impl-elim :args (@t17 @t263)) % 0.36/0.73 (step @p364 :rule cong :premises (@p363) :args ((forall @t9 (=> @t17 @t263)))) % 0.36/0.73 (step @p365 :rule trans :premises (@p364 @p362)) % 0.36/0.73 (step @p366 :rule bool-impl-elim :args (@t21 @t5)) % 0.36/0.73 (step @p367 :rule cong :premises (@p366) :args (@t37)) % 0.36/0.73 (step @p368 :rule cong :premises (@p303 @p367) :args (@t38)) % 0.36/0.73 (step @p369 :rule cong :premises (@p368) :args (@t39)) % 0.36/0.73 (step @p370 :rule trans :premises (@p369 @p365)) % 0.36/0.73 (step @p371 :rule eq_resolve :premises (@p15 @p370)) % 0.36/0.73 (step @p372 :rule cong :premises (@p319 @p315) :args (@t264)) % 0.36/0.73 (step @p373 :rule refl :args (@t265)) % 0.36/0.73 (step @p374 :rule nary_cong :premises (@p320 @p373 @p372) :args (@t266)) % 0.36/0.73 (step @p375 :rule refl :args (@t267)) % 0.36/0.73 (step @p376 :rule cong :premises (@p375 @p374) :args ((=> @t267 @t266))) % 0.36/0.73 (assume-push @p483 @t267) % 0.36/0.73 (step @p378 :rule instantiate :premises (@p371) :args ((@list @t223 tptp.nil))) % 0.36/0.73 (step-pop @p484 :rule scope :premises (@p378)) % 0.36/0.73 (step @p379 :rule process_scope :premises (@p484) :args (@t266)) % 0.36/0.73 (step @p381 :rule eq_resolve :premises (@p379 @p376)) % 0.36/0.73 (step @p382 :rule implies_elim :premises (@p381)) % 0.36/0.73 (step @p383 :rule chain_m_resolution :premises (@p382 @p371) :args (@t269 @t270 @t271)) % 0.36/0.73 (step @p384 :rule bool-double-not-elim :args (@t238)) % 0.36/0.73 (step @p385 :rule nary_cong :premises (@p336 @p384) :args ((or @t240 (not @t239)))) % 0.36/0.73 (step @p386 :rule cnf_or_neg :args (@t240 0)) % 0.36/0.73 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 0.36/0.73 (step @p388 :rule reordering :premises (@p387) :args ((or @t238 @t240))) % 0.36/0.73 (step @p389 :rule chain_m_resolution :premises (@p388 @p332) :args (@t238 @t247 @t248)) % 0.36/0.73 (step @p390 :rule cnf_or_pos :args (@t269)) % 0.36/0.73 (step @p391 :rule reordering :premises (@p390) :args ((or @t265 @t239 @t268 (not @t269)))) % 0.36/0.73 (step @p392 :rule chain_m_resolution :premises (@p391 @p17 @p389 @p383) :args (@t268 @t272 (@list @t41 @t238 @t269))) % 0.36/0.73 (step @p393 :rule cnf_or_neg :args (@t240 1)) % 0.36/0.73 (step @p394 :rule chain_m_resolution :premises (@p393 @p332) :args ((not @t237) @t247 @t248)) % 0.36/0.73 (step @p395 :rule bool-double-not-elim :args (@t233)) % 0.36/0.73 (step @p396 :rule refl :args (@t273)) % 0.36/0.73 (step @p397 :rule nary_cong :premises (@p396 @p319 @p395) :args ((or @t273 @t237 (not @t234)))) % 0.36/0.73 (step @p398 :rule cnf_equiv_pos2 :args (@t268)) % 0.36/0.73 (step @p399 :rule eq_resolve :premises (@p398 @p397)) % 0.36/0.73 (step @p400 :rule reordering :premises (@p399) :args ((or @t237 @t233 @t273))) % 0.36/0.73 (step @p401 :rule chain_m_resolution :premises (@p400 @p394 @p392) :args (@t233 @t274 (@list @t237 @t268))) % 0.36/0.73 (step @p402 :rule bool-impl-elim :args (@t17 @t275)) % 0.36/0.73 (step @p403 :rule cong :premises (@p402) :args ((forall @t9 (=> @t17 @t275)))) % 0.36/0.73 (step @p404 :rule eq-symm :args (@t96 @t59)) % 0.36/0.73 (step @p405 :rule refl :args (@t59)) % 0.36/0.73 (step @p406 :rule eq-symm :args (tptp.nil @t2)) % 0.36/0.73 (step @p407 :rule cong :premises (@p406 @p405) :args ((= @t44 @t59))) % 0.36/0.73 (step @p408 :rule trans :premises (@p407 @p404)) % 0.36/0.73 (step @p409 :rule eq-symm :args (@t59 @t44)) % 0.36/0.73 (step @p410 :rule trans :premises (@p409 @p408)) % 0.36/0.73 (step @p411 :rule cong :premises (@p303 @p410) :args (@t60)) % 0.36/0.73 (step @p412 :rule cong :premises (@p411) :args (@t61)) % 0.36/0.73 (step @p413 :rule trans :premises (@p412 @p403)) % 0.36/0.73 (step @p414 :rule eq_resolve :premises (@p58 @p413)) % 0.36/0.73 (step @p415 :rule refl :args (@t276)) % 0.36/0.73 (step @p416 :rule eq-symm :args (@t222 tptp.nil)) % 0.36/0.73 (step @p417 :rule cong :premises (@p416 @p415) :args ((= @t277 @t276))) % 0.36/0.73 (step @p418 :rule eq-symm :args (@t276 @t277)) % 0.36/0.73 (step @p419 :rule trans :premises (@p418 @p417)) % 0.36/0.73 (step @p420 :rule refl :args (@t229)) % 0.36/0.73 (step @p421 :rule nary_cong :premises (@p420 @p419) :args (@t278)) % 0.36/0.73 (step @p422 :rule refl :args (@t279)) % 0.36/0.73 (step @p423 :rule cong :premises (@p422 @p421) :args ((=> @t279 @t278))) % 0.36/0.73 (assume-push @p485 @t279) % 0.36/0.73 (step @p425 :rule instantiate :premises (@p414) :args ((@list @t222))) % 0.36/0.73 (step-pop @p486 :rule scope :premises (@p425)) % 0.36/0.73 (step @p426 :rule process_scope :premises (@p486) :args (@t278)) % 0.36/0.73 (step @p428 :rule eq_resolve :premises (@p426 @p423)) % 0.36/0.73 (step @p429 :rule implies_elim :premises (@p428)) % 0.36/0.73 (step @p430 :rule chain_m_resolution :premises (@p429 @p414) :args (@t282 @t270 (@list @t279))) % 0.36/0.73 (step @p431 :rule bool-double-not-elim :args (@t228)) % 0.36/0.73 (step @p432 :rule nary_cong :premises (@p346 @p431) :args ((or @t230 (not @t229)))) % 0.36/0.73 (step @p433 :rule cnf_or_neg :args (@t230 0)) % 0.36/0.73 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 0.36/0.73 (step @p435 :rule reordering :premises (@p434) :args ((or @t228 @t230))) % 0.36/0.73 (step @p436 :rule chain_m_resolution :premises (@p435 @p344) :args (@t228 @t247 @t250)) % 0.36/0.73 (step @p437 :rule cnf_or_pos :args (@t282)) % 0.36/0.73 (step @p438 :rule reordering :premises (@p437) :args ((or @t229 @t281 (not @t282)))) % 0.36/0.73 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p430) :args (@t281 @t283 (@list @t228 @t282))) % 0.36/0.73 (step @p440 :rule cong :premises (@p416) :args (@t284)) % 0.36/0.73 (step @p441 :rule refl :args (@t226)) % 0.36/0.73 (step @p442 :rule cong :premises (@p441 @p440) :args (@t285)) % 0.36/0.73 (step @p443 :rule nary_cong :premises (@p420 @p373 @p442) :args (@t286)) % 0.36/0.73 (step @p444 :rule cong :premises (@p375 @p443) :args ((=> @t267 @t286))) % 0.36/0.73 (assume-push @p487 @t267) % 0.36/0.73 (step @p446 :rule instantiate :premises (@p371) :args ((@list @t222 tptp.nil))) % 0.36/0.73 (step-pop @p488 :rule scope :premises (@p446)) % 0.36/0.73 (step @p447 :rule process_scope :premises (@p488) :args (@t286)) % 0.36/0.73 (step @p449 :rule eq_resolve :premises (@p447 @p444)) % 0.36/0.73 (step @p450 :rule implies_elim :premises (@p449)) % 0.36/0.73 (step @p451 :rule chain_m_resolution :premises (@p450 @p371) :args (@t289 @t270 @t271)) % 0.36/0.73 (step @p452 :rule cnf_or_pos :args (@t289)) % 0.36/0.73 (step @p453 :rule reordering :premises (@p452) :args ((or @t265 @t229 @t288 (not @t289)))) % 0.36/0.73 (step @p454 :rule chain_m_resolution :premises (@p453 @p17 @p436 @p451) :args (@t288 @t272 (@list @t41 @t228 @t289))) % 0.36/0.73 (step @p455 :rule bool-double-not-elim :args (@t226)) % 0.36/0.73 (step @p456 :rule nary_cong :premises (@p346 @p455) :args ((or @t230 (not @t227)))) % 0.36/0.73 (step @p457 :rule cnf_or_neg :args (@t230 1)) % 0.36/0.73 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 0.36/0.73 (step @p459 :rule reordering :premises (@p458) :args ((or @t226 @t230))) % 0.36/0.73 (step @p460 :rule chain_m_resolution :premises (@p459 @p344) :args (@t226 @t247 @t250)) % 0.36/0.73 (step @p461 :rule cnf_equiv_pos1 :args (@t288)) % 0.36/0.73 (step @p462 :rule reordering :premises (@p461) :args ((or @t227 @t287 (not @t288)))) % 0.36/0.73 (step @p463 :rule chain_m_resolution :premises (@p462 @p460 @p454) :args (@t287 @t283 (@list @t226 @t288))) % 0.36/0.73 (step @p464 :rule cnf_equiv_pos2 :args (@t281)) % 0.36/0.73 (step @p465 :rule reordering :premises (@p464) :args ((or @t280 @t290 (not @t281)))) % 0.36/0.73 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p439) :args (@t290 @t274 (@list @t280 @t281))) % 0.36/0.73 (assume-push @p489 @t224) % 0.36/0.73 (assume-push @p490 @t233) % 0.36/0.73 (step @p469 :rule true_intro :premises (@p351)) % 0.36/0.73 (step @p470 :rule refl :args (@t222)) % 0.36/0.73 (step @p471 :rule cong :premises (@p401 @p470) :args (@t276)) % 0.36/0.73 (step @p472 :rule trans :premises (@p471 @p469)) % 0.36/0.73 (step @p473 :rule true_elim :premises (@p472)) % 0.36/0.73 (step-pop @p491 :rule scope :premises (@p473)) % 0.36/0.73 (step-pop @p492 :rule scope :premises (@p491)) % 0.36/0.73 (step @p474 :rule process_scope :premises (@p492) :args (@t276)) % 0.36/0.73 (step @p477 :rule implies_elim :premises (@p474)) % 0.36/0.73 (step @p478 :rule cnf_and_neg :args (@t291)) % 0.36/0.73 (step @p479 :rule resolution :premises (@p478 @p477) :args (true @t291)) % 0.36/0.73 (step @p480 false :rule chain_m_resolution :premises (@p479 @p466 @p401 @p351) :args (false (@list true false false) (@list @t276 @t233 @t224))) % 0.36/0.73 ) % 0.36/0.73 % SZS output end Proof % 0.36/0.73 % cvc5 exiting %------------------------------------------------------------------------------