%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC217+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:58:29 AM UTC 2026 % Result : Theorem 0.36s 0.92s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC217+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 % 0.16/0.34 % DateTime : Tue Jun 2 19:26:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.92 % SZS status Theorem % 0.36/0.92 % SZS output start Proof % 0.36/0.92 ( % 0.36/0.92 (declare-sort $$unsorted 0) % 0.36/0.92 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.36/0.92 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.36/0.92 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.92 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.92 (declare-const tptp.nil $$unsorted) % 0.36/0.92 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.36/0.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.92 (define @t1 () (@var "V" $$unsorted)) % 0.36/0.92 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.92 (define @t3 () (= @t2 @t1)) % 0.36/0.92 (define @t4 () (not @t3)) % 0.36/0.92 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.36/0.92 (define @t6 () (tptp.ssItem @t1)) % 0.36/0.92 (define @t7 () (@list @t1)) % 0.36/0.92 (define @t8 () (tptp.ssItem @t2)) % 0.36/0.92 (define @t9 () (@list @t2)) % 0.36/0.92 (define @t10 () (@var "X" $$unsorted)) % 0.36/0.92 (define @t11 () (tptp.cons @t1 @t10)) % 0.36/0.92 (define @t12 () (@var "W" $$unsorted)) % 0.36/0.92 (define @t13 () (tptp.ssList @t10)) % 0.36/0.92 (define @t14 () (@list @t10)) % 0.36/0.92 (define @t15 () (tptp.ssList @t12)) % 0.36/0.92 (define @t16 () (@list @t12)) % 0.36/0.92 (define @t17 () (tptp.ssList @t2)) % 0.36/0.92 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.36/0.92 (define @t19 () (and @t6 (= @t18 @t2))) % 0.36/0.92 (define @t20 () (exists @t7 @t19)) % 0.36/0.92 (define @t21 () (tptp.singletonP @t2)) % 0.36/0.92 (define @t22 () (= @t21 @t20)) % 0.36/0.92 (define @t23 () (=> @t17 @t22)) % 0.36/0.92 (define @t24 () (forall @t9 @t23)) % 0.36/0.92 (define @t25 () (tptp.app @t1 @t12)) % 0.36/0.92 (define @t26 () (tptp.frontsegP @t2 @t1)) % 0.36/0.92 (define @t27 () (tptp.ssList @t1)) % 0.36/0.92 (define @t28 () (tptp.app @t12 @t1)) % 0.36/0.92 (define @t29 () (tptp.rearsegP @t2 @t1)) % 0.36/0.92 (define @t30 () (tptp.segmentP @t2 @t1)) % 0.36/0.92 (define @t31 () (tptp.leq @t12 @t1)) % 0.36/0.92 (define @t32 () (tptp.leq @t1 @t12)) % 0.36/0.92 (define @t33 () (@var "Z" $$unsorted)) % 0.36/0.92 (define @t34 () (@var "Y" $$unsorted)) % 0.36/0.92 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 0.36/0.92 (define @t36 () (tptp.ssList @t33)) % 0.36/0.92 (define @t37 () (@list @t33)) % 0.36/0.92 (define @t38 () (tptp.ssList @t34)) % 0.36/0.92 (define @t39 () (@list @t34)) % 0.36/0.92 (define @t40 () (tptp.ssItem @t12)) % 0.36/0.92 (define @t41 () (tptp.lt @t1 @t12)) % 0.36/0.92 (define @t42 () (= @t1 @t12)) % 0.36/0.92 (define @t43 () (forall @t7 (=> @t27 @t5))) % 0.36/0.92 (define @t44 () (=> @t17 @t43)) % 0.36/0.92 (define @t45 () (forall @t9 @t44)) % 0.36/0.92 (define @t46 () (tptp.cons @t1 @t2)) % 0.36/0.92 (define @t47 () (tptp.ssList tptp.nil)) % 0.36/0.92 (define @t48 () (= @t1 @t2)) % 0.36/0.92 (define @t49 () (tptp.cons @t12 @t1)) % 0.36/0.92 (define @t50 () (= tptp.nil @t2)) % 0.36/0.92 (define @t51 () (tptp.hd @t2)) % 0.36/0.92 (define @t52 () (not @t50)) % 0.36/0.92 (define @t53 () (tptp.tl @t2)) % 0.36/0.92 (define @t54 () (tptp.app @t2 @t1)) % 0.36/0.92 (define @t55 () (tptp.app @t1 @t2)) % 0.36/0.92 (define @t56 () (tptp.leq @t1 @t2)) % 0.36/0.92 (define @t57 () (tptp.leq @t2 @t1)) % 0.36/0.92 (define @t58 () (tptp.geq @t2 @t1)) % 0.36/0.92 (define @t59 () (tptp.lt @t1 @t2)) % 0.36/0.92 (define @t60 () (tptp.lt @t2 @t1)) % 0.36/0.92 (define @t61 () (tptp.lt @t2 @t12)) % 0.36/0.92 (define @t62 () (tptp.gt @t2 @t1)) % 0.36/0.92 (define @t63 () (tptp.memberP @t12 @t2)) % 0.36/0.92 (define @t64 () (tptp.app @t12 @t2)) % 0.36/0.92 (define @t65 () (tptp.cons @t2 tptp.nil)) % 0.36/0.92 (define @t66 () (tptp.hd @t1)) % 0.36/0.92 (define @t67 () (= tptp.nil @t1)) % 0.36/0.92 (define @t68 () (not @t67)) % 0.36/0.92 (define @t69 () (tptp.cons @t2 @t1)) % 0.36/0.92 (define @t70 () (= @t12 @t2)) % 0.36/0.92 (define @t71 () (tptp.neq @t10 tptp.nil)) % 0.36/0.92 (define @t72 () (not (tptp.memberP @t10 @t34))) % 0.36/0.92 (define @t73 () (tptp.cons @t34 tptp.nil)) % 0.36/0.92 (define @t74 () (not (= @t73 @t12))) % 0.36/0.92 (define @t75 () (or @t74 @t72)) % 0.36/0.92 (define @t76 () (tptp.ssItem @t34)) % 0.36/0.92 (define @t77 () (=> @t76 @t75)) % 0.36/0.92 (define @t78 () (forall @t39 @t77)) % 0.36/0.92 (define @t79 () (and @t78 @t71)) % 0.36/0.92 (define @t80 () (not (= tptp.nil @t12))) % 0.36/0.92 (define @t81 () (and @t80 (= tptp.nil @t10))) % 0.36/0.92 (define @t82 () (tptp.neq @t2 tptp.nil)) % 0.36/0.92 (define @t83 () (tptp.neq @t1 tptp.nil)) % 0.36/0.92 (define @t84 () (not @t83)) % 0.36/0.92 (define @t85 () (not (= @t2 @t12))) % 0.36/0.92 (define @t86 () (not (= @t1 @t10))) % 0.36/0.92 (define @t87 () (or @t86 @t85 @t84 @t82 @t81 @t79)) % 0.36/0.92 (define @t88 () (=> @t13 @t87)) % 0.36/0.92 (define @t89 () (forall @t14 @t88)) % 0.36/0.92 (define @t90 () (=> @t15 @t89)) % 0.36/0.92 (define @t91 () (forall @t16 @t90)) % 0.36/0.92 (define @t92 () (=> @t27 @t91)) % 0.36/0.92 (define @t93 () (forall @t7 @t92)) % 0.36/0.92 (define @t94 () (=> @t17 @t93)) % 0.36/0.92 (define @t95 () (forall @t9 @t94)) % 0.36/0.92 (define @t96 () (not @t95)) % 0.36/0.92 (define @t97 () (= @t2 @t18)) % 0.36/0.92 (define @t98 () (not @t6)) % 0.36/0.92 (define @t99 () (= @t21 (not (forall @t7 (or @t98 (not @t97)))))) % 0.36/0.92 (define @t100 () (and @t6 @t97)) % 0.36/0.92 (define @t101 () (forall @t7 (not @t100))) % 0.36/0.92 (define @t102 () (not @t101)) % 0.36/0.92 (define @t103 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 0.36/0.92 (define @t104 () (tptp.neq @t103 tptp.nil)) % 0.36/0.92 (define @t105 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 0.36/0.92 (define @t106 () (and (or (not (tptp.ssItem @t105)) (not (= @t2 (tptp.cons @t105 tptp.nil))) (not (tptp.memberP @t103 @t105))) @t104)) % 0.36/0.92 (define @t107 () (not (= @t2 tptp.nil))) % 0.36/0.92 (define @t108 () (not @t104)) % 0.36/0.92 (define @t109 () (not (tptp.ssList @t103))) % 0.36/0.92 (define @t110 () (not @t17)) % 0.36/0.92 (define @t111 () (@list @t2 @t103 @t105)) % 0.36/0.92 (define @t112 () (forall @t111 (or @t110 @t82 @t109 @t108 (and @t107 (= tptp.nil @t103)) @t106))) % 0.36/0.92 (define @t113 () (@quantifiers_skolemize @t112 0)) % 0.36/0.92 (define @t114 () (not (= @t113 @t18))) % 0.36/0.92 (define @t115 () (or @t98 @t114)) % 0.36/0.92 (define @t116 () (forall @t7 @t115)) % 0.36/0.92 (define @t117 () (not @t116)) % 0.36/0.92 (define @t118 () (tptp.singletonP @t113)) % 0.36/0.92 (define @t119 () (= @t118 @t117)) % 0.36/0.92 (define @t120 () (tptp.ssList @t113)) % 0.36/0.92 (define @t121 () (not @t120)) % 0.36/0.92 (define @t122 () (or @t121 @t119)) % 0.36/0.92 (define @t123 () (forall @t9 (or @t110 @t99))) % 0.36/0.92 (define @t124 () (forall @t7 (or @t98 (not (= @t18 @t113))))) % 0.36/0.92 (define @t125 () (not @t124)) % 0.36/0.92 (define @t126 () (= @t118 @t125)) % 0.36/0.92 (define @t127 () (or @t121 @t126)) % 0.36/0.92 (define @t128 () (@list false)) % 0.36/0.92 (define @t129 () (and @t107 (= @t103 tptp.nil))) % 0.36/0.92 (define @t130 () (or @t110 @t82 @t109 @t108 @t129 @t106)) % 0.36/0.92 (define @t131 () (or @t109 @t108 @t129 @t106)) % 0.36/0.92 (define @t132 () (or @t110 @t82 @t131)) % 0.36/0.92 (define @t133 () (forall @t111 @t132)) % 0.36/0.92 (define @t134 () (@list @t103 @t105)) % 0.36/0.92 (define @t135 () (forall @t134 @t132)) % 0.36/0.92 (define @t136 () (forall @t134 @t131)) % 0.36/0.92 (define @t137 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 0.36/0.92 (define @t138 () (or @t110 @t82 @t136)) % 0.36/0.92 (define @t139 () (or (not (tptp.ssItem @t137)) (not (= @t2 (tptp.cons @t137 tptp.nil))) (not (tptp.memberP @t1 @t137)))) % 0.36/0.92 (define @t140 () (and @t139 @t83)) % 0.36/0.92 (define @t141 () (= @t1 tptp.nil)) % 0.36/0.92 (define @t142 () (and @t107 @t141)) % 0.36/0.92 (define @t143 () (not @t27)) % 0.36/0.92 (define @t144 () (or @t143 @t84 @t142 @t140)) % 0.36/0.92 (define @t145 () (forall (@list @t1 @t137) @t144)) % 0.36/0.92 (define @t146 () (or @t110 @t82 @t145)) % 0.36/0.92 (define @t147 () (or @t82 @t110 @t145)) % 0.36/0.92 (define @t148 () (@list @t137)) % 0.36/0.92 (define @t149 () (forall @t148 @t144)) % 0.36/0.92 (define @t150 () (forall @t148 @t83)) % 0.36/0.92 (define @t151 () (forall @t148 @t139)) % 0.36/0.92 (define @t152 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 0.36/0.92 (define @t153 () (@list @t152)) % 0.36/0.92 (define @t154 () (and @t151 @t150)) % 0.36/0.92 (define @t155 () (forall @t148 @t140)) % 0.36/0.92 (define @t156 () (or @t143 @t84 @t142 @t155)) % 0.36/0.92 (define @t157 () (and (forall (@list @t152) (or (not (tptp.ssItem @t152)) (not (= @t2 (tptp.cons @t152 tptp.nil))) (not (tptp.memberP @t1 @t152)))) @t83)) % 0.36/0.92 (define @t158 () (or @t143 @t84 @t142 @t157)) % 0.36/0.92 (define @t159 () (forall @t7 @t158)) % 0.36/0.92 (define @t160 () (or @t82 @t110 @t159)) % 0.36/0.92 (define @t161 () (or @t82 @t110 @t158)) % 0.36/0.92 (define @t162 () (or @t143 @t84 @t82 @t110 @t142 @t157)) % 0.36/0.92 (define @t163 () (or @t84 @t82 @t143 @t110 @t142 @t157)) % 0.36/0.92 (define @t164 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 0.36/0.92 (define @t165 () (@list @t164)) % 0.36/0.92 (define @t166 () (forall @t165 @t83)) % 0.36/0.92 (define @t167 () (not (tptp.memberP @t1 @t164))) % 0.36/0.92 (define @t168 () (tptp.cons @t164 tptp.nil)) % 0.36/0.92 (define @t169 () (not (tptp.ssItem @t164))) % 0.36/0.92 (define @t170 () (or @t169 (not (= @t2 @t168)) @t167)) % 0.36/0.92 (define @t171 () (forall @t165 @t170)) % 0.36/0.92 (define @t172 () (@list @t164)) % 0.36/0.92 (define @t173 () (and @t171 @t166)) % 0.36/0.92 (define @t174 () (and @t170 @t83)) % 0.36/0.92 (define @t175 () (forall @t165 @t174)) % 0.36/0.92 (define @t176 () (or @t110 @t142 @t175)) % 0.36/0.92 (define @t177 () (or @t110 @t142 @t174)) % 0.36/0.92 (define @t178 () (not (= @t2 @t2))) % 0.36/0.92 (define @t179 () (or @t110 @t178 @t142 @t174)) % 0.36/0.92 (define @t180 () (or @t169 (not (= @t12 @t168)) @t167)) % 0.36/0.92 (define @t181 () (and @t180 @t83)) % 0.36/0.92 (define @t182 () (not (= @t12 tptp.nil))) % 0.36/0.92 (define @t183 () (and @t182 @t141)) % 0.36/0.92 (define @t184 () (not @t15)) % 0.36/0.92 (define @t185 () (or @t85 @t184 @t85 @t183 @t181)) % 0.36/0.92 (define @t186 () (or @t184 @t85 @t183 @t181)) % 0.36/0.92 (define @t187 () (forall @t16 @t186)) % 0.36/0.92 (define @t188 () (forall @t165 @t187)) % 0.36/0.92 (define @t189 () (forall (@list @t164 @t12) @t186)) % 0.36/0.92 (define @t190 () (forall (@list @t12 @t164) @t186)) % 0.36/0.92 (define @t191 () (forall @t165 @t186)) % 0.36/0.92 (define @t192 () (forall @t165 @t180)) % 0.36/0.92 (define @t193 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 0.36/0.92 (define @t194 () (@list @t193)) % 0.36/0.92 (define @t195 () (and @t192 @t166)) % 0.36/0.92 (define @t196 () (forall @t165 @t181)) % 0.36/0.92 (define @t197 () (or @t184 @t85 @t183 @t196)) % 0.36/0.92 (define @t198 () (and (forall (@list @t193) (or (not (tptp.ssItem @t193)) (not (= @t12 (tptp.cons @t193 tptp.nil))) (not (tptp.memberP @t1 @t193)))) @t83)) % 0.36/0.92 (define @t199 () (or @t184 @t85 @t183 @t198)) % 0.36/0.92 (define @t200 () (forall @t16 @t199)) % 0.36/0.92 (define @t201 () (or @t84 @t82 @t143 @t200)) % 0.36/0.92 (define @t202 () (or @t84 @t82 @t143 @t199)) % 0.36/0.92 (define @t203 () (or @t184 @t85 @t84 @t82 @t143 @t183 @t198)) % 0.36/0.92 (define @t204 () (or @t85 @t84 @t82 @t143 @t183 @t198)) % 0.36/0.92 (define @t205 () (@var "BOUND_VARIABLE_10949" $$unsorted)) % 0.36/0.92 (define @t206 () (@list @t205)) % 0.36/0.92 (define @t207 () (forall @t206 @t83)) % 0.36/0.92 (define @t208 () (not (= @t12 (tptp.cons @t205 tptp.nil)))) % 0.36/0.92 (define @t209 () (not (tptp.ssItem @t205))) % 0.36/0.92 (define @t210 () (or @t209 @t208 (not (tptp.memberP @t1 @t205)))) % 0.36/0.92 (define @t211 () (forall @t206 @t210)) % 0.36/0.92 (define @t212 () (@list @t205)) % 0.36/0.92 (define @t213 () (and @t211 @t207)) % 0.36/0.92 (define @t214 () (and @t210 @t83)) % 0.36/0.92 (define @t215 () (forall @t206 @t214)) % 0.36/0.92 (define @t216 () (or @t143 @t183 @t215)) % 0.36/0.92 (define @t217 () (or @t143 @t183 @t214)) % 0.36/0.92 (define @t218 () (not (= @t1 @t1))) % 0.36/0.92 (define @t219 () (or @t143 @t218 @t183 @t214)) % 0.36/0.92 (define @t220 () (or @t209 @t208 (not (tptp.memberP @t10 @t205)))) % 0.36/0.92 (define @t221 () (and @t220 @t71)) % 0.36/0.92 (define @t222 () (and @t182 (= @t10 tptp.nil))) % 0.36/0.92 (define @t223 () (not @t13)) % 0.36/0.92 (define @t224 () (or @t86 @t223 @t86 @t222 @t221)) % 0.36/0.92 (define @t225 () (or @t223 @t86 @t222 @t221)) % 0.36/0.92 (define @t226 () (forall @t14 @t225)) % 0.36/0.92 (define @t227 () (forall @t206 @t226)) % 0.36/0.92 (define @t228 () (forall (@list @t205 @t10) @t225)) % 0.36/0.92 (define @t229 () (forall (@list @t10 @t205) @t225)) % 0.36/0.92 (define @t230 () (forall @t206 @t225)) % 0.36/0.92 (define @t231 () (forall @t206 @t71)) % 0.36/0.92 (define @t232 () (forall @t206 @t220)) % 0.36/0.92 (define @t233 () (and @t232 @t231)) % 0.36/0.92 (define @t234 () (forall @t206 @t221)) % 0.36/0.92 (define @t235 () (or @t223 @t86 @t222 @t234)) % 0.36/0.92 (define @t236 () (not (= @t12 @t73))) % 0.36/0.92 (define @t237 () (not @t76)) % 0.36/0.92 (define @t238 () (or @t237 @t236 @t72)) % 0.36/0.92 (define @t239 () (and (forall @t39 @t238) @t71)) % 0.36/0.92 (define @t240 () (or @t223 @t86 @t222 @t239)) % 0.36/0.92 (define @t241 () (forall @t14 @t240)) % 0.36/0.92 (define @t242 () (or @t85 @t84 @t82 @t241)) % 0.36/0.92 (define @t243 () (or @t85 @t84 @t82 @t240)) % 0.36/0.92 (define @t244 () (or @t223 @t86 @t85 @t84 @t82 @t222 @t239)) % 0.36/0.92 (define @t245 () (or @t86 @t85 @t84 @t82 @t222 @t239)) % 0.36/0.92 (define @t246 () (or @t236 @t72)) % 0.36/0.92 (define @t247 () (@quantifiers_skolemize @t112 1)) % 0.36/0.92 (define @t248 () (tptp.neq @t247 tptp.nil)) % 0.36/0.92 (define @t249 () (@quantifiers_skolemize @t112 2)) % 0.36/0.92 (define @t250 () (tptp.cons @t249 tptp.nil)) % 0.36/0.92 (define @t251 () (= @t113 @t250)) % 0.36/0.92 (define @t252 () (not @t251)) % 0.36/0.92 (define @t253 () (tptp.ssItem @t249)) % 0.36/0.92 (define @t254 () (not @t253)) % 0.36/0.92 (define @t255 () (or @t254 @t252 (not (tptp.memberP @t247 @t249)))) % 0.36/0.92 (define @t256 () (and @t255 @t248)) % 0.36/0.92 (define @t257 () (= tptp.nil @t247)) % 0.36/0.92 (define @t258 () (= tptp.nil @t113)) % 0.36/0.92 (define @t259 () (not @t258)) % 0.36/0.92 (define @t260 () (not @t248)) % 0.36/0.92 (define @t261 () (not (tptp.ssList @t247))) % 0.36/0.92 (define @t262 () (tptp.neq @t113 tptp.nil)) % 0.36/0.92 (define @t263 () (or @t121 @t262 @t261 @t260 (and @t259 @t257) @t256)) % 0.36/0.92 (define @t264 () (not @t263)) % 0.36/0.92 (define @t265 () (not @t112)) % 0.36/0.92 (define @t266 () (not (= @t113 tptp.nil))) % 0.36/0.92 (define @t267 () (and @t266 @t257)) % 0.36/0.92 (define @t268 () (or @t121 @t262 @t261 @t260 @t267 @t256)) % 0.36/0.92 (define @t269 () (not @t268)) % 0.36/0.92 (define @t270 () (@list true)) % 0.36/0.92 (define @t271 () (@list @t263)) % 0.36/0.92 (define @t272 () (@list false false)) % 0.36/0.92 (define @t273 () (@var "BOUND_VARIABLE_9105" $$unsorted)) % 0.36/0.92 (define @t274 () (= (tptp.neq @t2 @t273) (not (= @t2 @t273)))) % 0.36/0.92 (define @t275 () (not (tptp.ssList @t273))) % 0.36/0.92 (define @t276 () (or @t110 @t275 @t274)) % 0.36/0.92 (define @t277 () (or @t275 @t274)) % 0.36/0.92 (define @t278 () (or @t110 @t277)) % 0.36/0.92 (define @t279 () (@list @t2 @t273)) % 0.36/0.92 (define @t280 () (forall @t279 @t278)) % 0.36/0.92 (define @t281 () (@list @t273)) % 0.36/0.92 (define @t282 () (forall @t281 @t278)) % 0.36/0.92 (define @t283 () (forall @t281 @t277)) % 0.36/0.92 (define @t284 () (or @t110 @t283)) % 0.36/0.92 (define @t285 () (forall @t7 (or @t143 @t5))) % 0.36/0.92 (define @t286 () (= @t262 @t266)) % 0.36/0.92 (define @t287 () (not @t47)) % 0.36/0.92 (define @t288 () (or @t121 @t287 @t286)) % 0.36/0.92 (define @t289 () (forall @t279 @t276)) % 0.36/0.92 (define @t290 () (= @t262 @t259)) % 0.36/0.92 (define @t291 () (or @t121 @t287 @t290)) % 0.36/0.92 (define @t292 () (not @t290)) % 0.36/0.92 (define @t293 () (@list true false)) % 0.36/0.92 (define @t294 () (not @t126)) % 0.36/0.92 (define @t295 () (not @t255)) % 0.36/0.92 (define @t296 () (@list @t255)) % 0.36/0.92 (define @t297 () (or @t254 @t252)) % 0.36/0.92 (define @t298 () (not @t297)) % 0.36/0.92 (define @t299 () (not (= @t250 @t113))) % 0.36/0.92 (define @t300 () (or @t254 @t299)) % 0.36/0.92 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.36/0.92 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.36/0.92 (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))))))))))) % 0.36/0.92 (assume @p4 @t24) % 0.36/0.92 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 0.36/0.92 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 0.36/0.92 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 0.36/0.92 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 0.36/0.92 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 0.36/0.92 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 0.36/0.92 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 0.36/0.92 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 0.36/0.92 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42)))))))))))))))) % 0.36/0.92 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 0.36/0.92 (assume @p15 @t45) % 0.36/0.92 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t46)))))) % 0.36/0.92 (assume @p17 @t47) % 0.36/0.92 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t46 @t2))))))) % 0.36/0.92 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 0.36/0.92 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t49 @t2))))))))) % 0.36/0.92 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t46))))))) % 0.36/0.92 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 0.36/0.92 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t46) @t1)))))) % 0.36/0.92 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53))))) % 0.36/0.92 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t46) @t2)))))) % 0.36/0.92 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t54)))))) % 0.36/0.92 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t55) (tptp.app @t49 @t2))))))))) % 0.36/0.92 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.36/0.92 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 @t56) @t3)))))) % 0.36/0.92 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t32) (tptp.leq @t2 @t12))))))))) % 0.36/0.92 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.36/0.92 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 @t56)))))) % 0.36/0.92 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not @t59))))))) % 0.36/0.92 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t60 @t41) @t61)))))))) % 0.36/0.92 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t59)))))) % 0.36/0.92 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t63))))))))) % 0.36/0.92 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t63))))))))) % 0.36/0.92 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/0.92 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/0.92 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.36/0.92 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.36/0.92 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/0.92 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/0.92 (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)))))))))))) % 0.36/0.92 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/0.92 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 0.36/0.92 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/0.92 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/0.92 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/0.92 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t64 @t1))))))))) % 0.36/0.92 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/0.92 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 0.36/0.92 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/0.92 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.36/0.92 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/0.92 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t64 @t10) @t1))))))))))) % 0.36/0.92 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/0.92 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 0.36/0.92 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t65)))) % 0.36/0.92 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/0.92 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t65)))) % 0.36/0.92 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/0.92 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t65)))) % 0.36/0.92 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/0.92 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t65)))) % 0.36/0.92 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/0.92 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t69) (or @t67 (and @t68 (tptp.totalorderedP @t1) (tptp.leq @t2 @t66))))))))) % 0.36/0.92 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t65)))) % 0.36/0.92 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/0.92 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t69) (or @t67 (and @t68 (tptp.strictorderedP @t1) (tptp.lt @t2 @t66))))))))) % 0.36/0.92 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t65)))) % 0.36/0.92 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.36/0.92 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t65)))) % 0.36/0.92 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.36/0.92 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 0.36/0.92 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t27 (= @t53 @t1))))))) % 0.36/0.92 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t68 @t52 (= @t66 @t51) (= (tptp.tl @t1) @t53)) @t48)))))) % 0.36/0.92 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2))))) % 0.36/0.92 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t54) @t70)))))))) % 0.36/0.92 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t55) @t70)))))))) % 0.36/0.92 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t46 (tptp.app @t18 @t2))))))) % 0.36/0.92 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t25))))))))) % 0.36/0.92 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t54) (and @t67 @t50))))))) % 0.36/0.92 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/0.92 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.hd @t54) @t51))))))) % 0.36/0.92 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 0.36/0.92 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 (tptp.geq @t1 @t2)) @t3)))))) % 0.36/0.92 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.36/0.92 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.36/0.92 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.36/0.92 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t57 @t41) @t61)))))))) % 0.36/0.92 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (or @t3 @t60))))))) % 0.36/0.92 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 (and @t4 @t57))))))) % 0.36/0.92 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not (tptp.gt @t1 @t2)))))))) % 0.36/0.92 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t62 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.36/0.92 (assume @p96 @t96) % 0.36/0.92 (assume @p97 true) % 0.36/0.92 (step @p98 :rule bool-impl-elim :args (@t17 @t99)) % 0.36/0.92 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t99)))) % 0.36/0.92 (step @p100 :rule bool-and-de-morgan :args (@t6 @t97 true)) % 0.36/0.92 (step @p101 :rule cong :premises (@p100) :args (@t101)) % 0.36/0.92 (step @p102 :rule cong :premises (@p101) :args (@t102)) % 0.36/0.92 (step @p103 :rule exists-elim :args ((= (exists @t7 @t100) @t102))) % 0.36/0.92 (step @p104 :rule trans :premises (@p103 @p102)) % 0.36/0.92 (step @p105 :rule eq-symm :args (@t18 @t2)) % 0.36/0.92 (step @p106 :rule refl :args (@t6)) % 0.36/0.92 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t19)) % 0.36/0.92 (step @p108 :rule cong :premises (@p107) :args (@t20)) % 0.36/0.92 (step @p109 :rule trans :premises (@p108 @p104)) % 0.36/0.92 (step @p110 :rule refl :args (@t21)) % 0.36/0.92 (step @p111 :rule cong :premises (@p110 @p109) :args (@t22)) % 0.36/0.92 (step @p112 :rule refl :args (@t17)) % 0.36/0.92 (step 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:args (@t44)) % 0.36/0.92 (step @p405 :rule cong :premises (@p404) :args (@t45)) % 0.36/0.92 (step @p406 :rule trans :premises (@p405 @p401)) % 0.36/0.92 (step @p407 :rule eq_resolve :premises (@p15 @p406)) % 0.36/0.92 (step @p408 :rule cong :premises (@p364 @p360) :args (@t286)) % 0.36/0.92 (step @p409 :rule refl :args (@t287)) % 0.36/0.92 (step @p410 :rule nary_cong :premises (@p125 @p409 @p408) :args (@t288)) % 0.36/0.92 (step @p411 :rule refl :args (@t289)) % 0.36/0.92 (step @p412 :rule cong :premises (@p411 @p410) :args ((=> @t289 @t288))) % 0.36/0.92 (assume-push @p487 @t289) % 0.36/0.92 (step @p414 :rule instantiate :premises (@p407) :args ((@list @t113 tptp.nil))) % 0.36/0.92 (step-pop @p488 :rule scope :premises (@p414)) % 0.36/0.92 (step @p415 :rule process_scope :premises (@p488) :args (@t288)) % 0.36/0.92 (step @p417 :rule eq_resolve :premises (@p415 @p412)) % 0.36/0.92 (step @p418 :rule implies_elim :premises (@p417)) % 0.36/0.92 (step @p419 :rule chain_m_resolution 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:rule chain_m_resolution :premises (@p430 @p424 @p422) :args (@t258 @t293 (@list @t262 @t290))) % 0.36/0.92 (step @p432 :rule symm :premises (@p431)) % 0.36/0.92 (step @p433 :rule cong :premises (@p432) :args (@t118)) % 0.36/0.92 (step @p434 :rule trans :premises (@p433 @p387)) % 0.36/0.92 (step @p435 :rule false_elim :premises (@p434)) % 0.36/0.92 (step @p436 :rule bool-double-not-elim :args (@t124)) % 0.36/0.92 (step @p437 :rule refl :args (@t294)) % 0.36/0.92 (step @p438 :rule nary_cong :premises (@p437 @p123 @p436) :args ((or @t294 @t118 (not @t125)))) % 0.36/0.92 (step @p439 :rule cnf_equiv_pos2 :args (@t126)) % 0.36/0.92 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 0.36/0.92 (step @p441 :rule reordering :premises (@p440) :args ((or @t118 @t124 @t294))) % 0.36/0.92 (step @p442 :rule chain_m_resolution :premises (@p441 @p435 @p386) :args (@t124 @t293 (@list @t118 @t126))) % 0.36/0.92 (step @p443 :rule cnf_or_neg :args (@t263 5)) % 0.36/0.92 (step @p444 :rule chain_m_resolution :premises (@p443 @p376) :args ((not @t256) @t270 @t271)) % 0.36/0.92 (step @p445 :rule bool-double-not-elim :args (@t248)) % 0.36/0.92 (step @p446 :rule nary_cong :premises (@p378 @p445) :args ((or @t263 (not @t260)))) % 0.36/0.92 (step @p447 :rule cnf_or_neg :args (@t263 3)) % 0.36/0.92 (step @p448 :rule eq_resolve :premises (@p447 @p446)) % 0.36/0.92 (step @p449 :rule reordering :premises (@p448) :args ((or @t248 @t263))) % 0.36/0.92 (step @p450 :rule chain_m_resolution :premises (@p449 @p376) :args (@t248 @t270 @t271)) % 0.36/0.92 (step @p451 :rule cnf_and_neg :args (@t256)) % 0.36/0.92 (step @p452 :rule reordering :premises (@p451) :args ((or @t260 @t256 @t295))) % 0.36/0.92 (step @p453 :rule chain_m_resolution :premises (@p452 @p450 @p444) :args (@t295 (@list false true) (@list @t248 @t256))) % 0.36/0.92 (step @p454 :rule bool-double-not-elim :args (@t251)) % 0.36/0.92 (step @p455 :rule refl :args (@t255)) % 0.36/0.92 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t255 (not @t252)))) % 0.36/0.92 (step @p457 :rule cnf_or_neg :args (@t255 1)) % 0.36/0.92 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 0.36/0.92 (step @p459 :rule reordering :premises (@p458) :args ((or @t251 @t255))) % 0.36/0.92 (step @p460 :rule chain_m_resolution :premises (@p459 @p453) :args (@t251 @t270 @t296)) % 0.36/0.92 (step @p461 :rule bool-double-not-elim :args (@t253)) % 0.36/0.92 (step @p462 :rule nary_cong :premises (@p455 @p461) :args ((or @t255 (not @t254)))) % 0.36/0.92 (step @p463 :rule cnf_or_neg :args (@t255 0)) % 0.36/0.92 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 0.36/0.92 (step @p465 :rule reordering :premises (@p464) :args ((or @t253 @t255))) % 0.36/0.92 (step @p466 :rule chain_m_resolution :premises (@p465 @p453) :args (@t253 @t270 @t296)) % 0.36/0.92 (step @p467 :rule cnf_or_pos :args (@t297)) % 0.36/0.92 (step @p468 :rule reordering :premises (@p467) :args ((or @t254 @t252 @t298))) % 0.36/0.92 (step @p469 :rule chain_m_resolution :premises (@p468 @p466 @p460) :args (@t298 @t272 (@list @t253 @t251))) % 0.36/0.92 (step @p470 :rule eq-symm :args (@t250 @t113)) % 0.36/0.92 (step @p471 :rule cong :premises (@p470) :args (@t299)) % 0.36/0.92 (step @p472 :rule refl :args (@t254)) % 0.36/0.92 (step @p473 :rule nary_cong :premises (@p472 @p471) :args (@t300)) % 0.36/0.92 (step @p474 :rule refl :args (@t124)) % 0.36/0.92 (step @p475 :rule cong :premises (@p474 @p473) :args ((=> @t124 @t300))) % 0.36/0.92 (assume-push @p489 @t124) % 0.36/0.92 (step @p477 :rule instantiate :premises (@p442) :args ((@list @t249))) % 0.36/0.92 (step-pop @p490 :rule scope :premises (@p477)) % 0.36/0.92 (step @p478 :rule process_scope :premises (@p490) :args (@t300)) % 0.36/0.92 (step @p480 :rule eq_resolve :premises (@p478 @p475)) % 0.36/0.92 (step @p481 :rule implies_elim :premises (@p480)) % 0.36/0.92 (step @p482 false :rule chain_m_resolution :premises (@p481 @p469 @p442) :args (false @t293 (@list @t297 @t124))) % 0.36/0.92 ) % 0.36/0.92 % SZS output end Proof % 0.36/0.92 % cvc5 exiting %------------------------------------------------------------------------------