%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC053+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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:51 AM UTC 2026 % Result : Theorem 33.87s 34.13s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC053+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 % 0.15/0.34 % Computer : n020.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:11:56 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.87/34.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.87/34.13 --- Run --no-e-matching --full-saturate-quant at 6... % 33.87/34.13 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.87/34.13 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.13 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.13 % SZS status Theorem % 33.87/34.13 % SZS output start Proof % 33.87/34.13 ( % 33.87/34.13 (declare-sort $$unsorted 0) % 33.87/34.13 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.13 (declare-const tptp.nil $$unsorted) % 33.87/34.13 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.87/34.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.87/34.13 (define @t1 () (@var "V" $$unsorted)) % 33.87/34.13 (define @t2 () (@var "U" $$unsorted)) % 33.87/34.13 (define @t3 () (= @t2 @t1)) % 33.87/34.13 (define @t4 () (not @t3)) % 33.87/34.13 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 33.87/34.13 (define @t6 () (tptp.ssItem @t1)) % 33.87/34.13 (define @t7 () (@list @t1)) % 33.87/34.13 (define @t8 () (tptp.ssItem @t2)) % 33.87/34.13 (define @t9 () (@list @t2)) % 33.87/34.13 (define @t10 () (@var "X" $$unsorted)) % 33.87/34.13 (define @t11 () (tptp.cons @t1 @t10)) % 33.87/34.13 (define @t12 () (@var "W" $$unsorted)) % 33.87/34.13 (define @t13 () (tptp.ssList @t10)) % 33.87/34.13 (define @t14 () (@list @t10)) % 33.87/34.13 (define @t15 () (tptp.ssList @t12)) % 33.87/34.13 (define @t16 () (@list @t12)) % 33.87/34.13 (define @t17 () (tptp.ssList @t2)) % 33.87/34.13 (define @t18 () (tptp.cons @t1 tptp.nil)) % 33.87/34.13 (define @t19 () (tptp.app @t1 @t12)) % 33.87/34.13 (define @t20 () (and @t15 (= @t19 @t2))) % 33.87/34.13 (define @t21 () (exists @t16 @t20)) % 33.87/34.13 (define @t22 () (tptp.frontsegP @t2 @t1)) % 33.87/34.13 (define @t23 () (= @t22 @t21)) % 33.87/34.13 (define @t24 () (tptp.ssList @t1)) % 33.87/34.13 (define @t25 () (=> @t24 @t23)) % 33.87/34.13 (define @t26 () (forall @t7 @t25)) % 33.87/34.13 (define @t27 () (=> @t17 @t26)) % 33.87/34.13 (define @t28 () (forall @t9 @t27)) % 33.87/34.13 (define @t29 () (tptp.app @t12 @t1)) % 33.87/34.13 (define @t30 () (tptp.rearsegP @t2 @t1)) % 33.87/34.13 (define @t31 () (tptp.segmentP @t2 @t1)) % 33.87/34.13 (define @t32 () (tptp.leq @t12 @t1)) % 33.87/34.13 (define @t33 () (tptp.leq @t1 @t12)) % 33.87/34.13 (define @t34 () (@var "Z" $$unsorted)) % 33.87/34.13 (define @t35 () (@var "Y" $$unsorted)) % 33.87/34.13 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 33.87/34.13 (define @t37 () (tptp.ssList @t34)) % 33.87/34.13 (define @t38 () (@list @t34)) % 33.87/34.13 (define @t39 () (tptp.ssList @t35)) % 33.87/34.13 (define @t40 () (@list @t35)) % 33.87/34.13 (define @t41 () (tptp.ssItem @t12)) % 33.87/34.13 (define @t42 () (tptp.lt @t1 @t12)) % 33.87/34.13 (define @t43 () (= @t1 @t12)) % 33.87/34.13 (define @t44 () (forall @t7 (=> @t24 @t5))) % 33.87/34.13 (define @t45 () (=> @t17 @t44)) % 33.87/34.13 (define @t46 () (forall @t9 @t45)) % 33.87/34.13 (define @t47 () (tptp.cons @t1 @t2)) % 33.87/34.13 (define @t48 () (tptp.ssList tptp.nil)) % 33.87/34.13 (define @t49 () (= @t1 @t2)) % 33.87/34.13 (define @t50 () (tptp.cons @t12 @t1)) % 33.87/34.13 (define @t51 () (= tptp.nil @t2)) % 33.87/34.13 (define @t52 () (tptp.hd @t2)) % 33.87/34.13 (define @t53 () (not @t51)) % 33.87/34.13 (define @t54 () (tptp.tl @t2)) % 33.87/34.13 (define @t55 () (tptp.app @t2 @t1)) % 33.87/34.13 (define @t56 () (tptp.app @t1 @t2)) % 33.87/34.13 (define @t57 () (tptp.app tptp.nil @t2)) % 33.87/34.13 (define @t58 () (=> @t17 (= @t57 @t2))) % 33.87/34.13 (define @t59 () (forall @t9 @t58)) % 33.87/34.13 (define @t60 () (tptp.leq @t1 @t2)) % 33.87/34.13 (define @t61 () (tptp.leq @t2 @t1)) % 33.87/34.13 (define @t62 () (tptp.geq @t2 @t1)) % 33.87/34.13 (define @t63 () (tptp.lt @t1 @t2)) % 33.87/34.13 (define @t64 () (tptp.lt @t2 @t1)) % 33.87/34.13 (define @t65 () (tptp.lt @t2 @t12)) % 33.87/34.13 (define @t66 () (tptp.gt @t2 @t1)) % 33.87/34.13 (define @t67 () (tptp.memberP @t12 @t2)) % 33.87/34.13 (define @t68 () (tptp.frontsegP tptp.nil @t2)) % 33.87/34.13 (define @t69 () (=> @t17 (= @t68 @t51))) % 33.87/34.13 (define @t70 () (forall @t9 @t69)) % 33.87/34.13 (define @t71 () (tptp.app @t12 @t2)) % 33.87/34.13 (define @t72 () (tptp.segmentP @t2 @t2)) % 33.87/34.13 (define @t73 () (forall @t9 (=> @t17 @t72))) % 33.87/34.13 (define @t74 () (tptp.segmentP (tptp.app @t71 @t10) @t1)) % 33.87/34.13 (define @t75 () (=> @t31 @t74)) % 33.87/34.13 (define @t76 () (forall @t14 (=> @t13 @t75))) % 33.87/34.13 (define @t77 () (=> @t15 @t76)) % 33.87/34.13 (define @t78 () (forall @t16 @t77)) % 33.87/34.13 (define @t79 () (=> @t24 @t78)) % 33.87/34.13 (define @t80 () (forall @t7 @t79)) % 33.87/34.13 (define @t81 () (=> @t17 @t80)) % 33.87/34.13 (define @t82 () (forall @t9 @t81)) % 33.87/34.13 (define @t83 () (tptp.cons @t2 tptp.nil)) % 33.87/34.13 (define @t84 () (tptp.hd @t1)) % 33.87/34.13 (define @t85 () (= tptp.nil @t1)) % 33.87/34.13 (define @t86 () (not @t85)) % 33.87/34.13 (define @t87 () (tptp.cons @t2 @t1)) % 33.87/34.13 (define @t88 () (= @t12 @t2)) % 33.87/34.13 (define @t89 () (tptp.segmentP @t2 @t34)) % 33.87/34.13 (define @t90 () (tptp.segmentP @t1 @t34)) % 33.87/34.13 (define @t91 () (tptp.neq @t34 tptp.nil)) % 33.87/34.13 (define @t92 () (and @t37 @t91 @t90 @t89)) % 33.87/34.13 (define @t93 () (exists @t38 @t92)) % 33.87/34.13 (define @t94 () (not (tptp.neq @t1 tptp.nil))) % 33.87/34.13 (define @t95 () (or @t94 @t93)) % 33.87/34.13 (define @t96 () (or @t86 @t51)) % 33.87/34.13 (define @t97 () (and @t96 @t95)) % 33.87/34.13 (define @t98 () (not (= tptp.nil @t12))) % 33.87/34.13 (define @t99 () (not (= tptp.nil @t10))) % 33.87/34.13 (define @t100 () (or @t99 @t98)) % 33.87/34.13 (define @t101 () (not (tptp.frontsegP @t12 @t35))) % 33.87/34.13 (define @t102 () (not (tptp.frontsegP @t10 @t35))) % 33.87/34.13 (define @t103 () (not (tptp.neq @t35 tptp.nil))) % 33.87/34.13 (define @t104 () (or @t103 @t102 @t101)) % 33.87/34.13 (define @t105 () (forall @t40 (=> @t39 @t104))) % 33.87/34.13 (define @t106 () (and @t105 @t100)) % 33.87/34.13 (define @t107 () (not (= @t2 @t12))) % 33.87/34.13 (define @t108 () (not (= @t1 @t10))) % 33.87/34.13 (define @t109 () (or @t108 @t107 @t106 @t97)) % 33.87/34.13 (define @t110 () (=> @t13 @t109)) % 33.87/34.13 (define @t111 () (forall @t14 @t110)) % 33.87/34.13 (define @t112 () (=> @t15 @t111)) % 33.87/34.13 (define @t113 () (forall @t16 @t112)) % 33.87/34.13 (define @t114 () (=> @t24 @t113)) % 33.87/34.13 (define @t115 () (forall @t7 @t114)) % 33.87/34.13 (define @t116 () (=> @t17 @t115)) % 33.87/34.13 (define @t117 () (forall @t9 @t116)) % 33.87/34.13 (define @t118 () (not @t117)) % 33.87/34.13 (define @t119 () (= @t2 @t57)) % 33.87/34.13 (define @t120 () (= @t2 tptp.nil)) % 33.87/34.13 (define @t121 () (not @t120)) % 33.87/34.13 (define @t122 () (@var "BOUND_VARIABLE_11092" $$unsorted)) % 33.87/34.13 (define @t123 () (not (= tptp.nil @t122))) % 33.87/34.13 (define @t124 () (@var "BOUND_VARIABLE_11094" $$unsorted)) % 33.87/34.13 (define @t125 () (or (not (tptp.ssList @t124)) (not (tptp.neq @t124 tptp.nil)) (not (tptp.frontsegP @t122 @t124)) (not (tptp.frontsegP @t2 @t124)))) % 33.87/34.13 (define @t126 () (not @t89)) % 33.87/34.13 (define @t127 () (not @t91)) % 33.87/34.13 (define @t128 () (not @t37)) % 33.87/34.13 (define @t129 () (or (not (tptp.neq @t122 tptp.nil)) (not (forall @t38 (or @t128 @t127 (not (tptp.segmentP @t122 @t34)) @t126))))) % 33.87/34.13 (define @t130 () (not (tptp.ssList @t122))) % 33.87/34.13 (define @t131 () (not @t17)) % 33.87/34.13 (define @t132 () (@list @t2 @t122 @t124)) % 33.87/34.13 (define @t133 () (forall @t132 (or @t131 @t130 (and (or @t123 @t120) @t129) (and @t125 (or @t123 @t121))))) % 33.87/34.13 (define @t134 () (@quantifiers_skolemize @t133 2)) % 33.87/34.13 (define @t135 () (@list @t134)) % 33.87/34.13 (define @t136 () (tptp.ssList @t134)) % 33.87/34.13 (define @t137 () (@quantifiers_skolemize @t133 0)) % 33.87/34.13 (define @t138 () (tptp.frontsegP @t137 @t134)) % 33.87/34.13 (define @t139 () (not @t138)) % 33.87/34.13 (define @t140 () (@quantifiers_skolemize @t133 1)) % 33.87/34.13 (define @t141 () (tptp.frontsegP @t140 @t134)) % 33.87/34.13 (define @t142 () (not @t141)) % 33.87/34.13 (define @t143 () (tptp.neq @t134 tptp.nil)) % 33.87/34.13 (define @t144 () (not @t143)) % 33.87/34.13 (define @t145 () (not @t136)) % 33.87/34.13 (define @t146 () (or @t145 @t144 @t142 @t139)) % 33.87/34.13 (define @t147 () (@var "BOUND_VARIABLE_9112" $$unsorted)) % 33.87/34.13 (define @t148 () (= (tptp.neq @t2 @t147) (not (= @t2 @t147)))) % 33.87/34.13 (define @t149 () (not (tptp.ssList @t147))) % 33.87/34.13 (define @t150 () (or @t131 @t149 @t148)) % 33.87/34.13 (define @t151 () (or @t149 @t148)) % 33.87/34.13 (define @t152 () (or @t131 @t151)) % 33.87/34.13 (define @t153 () (@list @t2 @t147)) % 33.87/34.13 (define @t154 () (forall @t153 @t152)) % 33.87/34.13 (define @t155 () (@list @t147)) % 33.87/34.13 (define @t156 () (forall @t155 @t152)) % 33.87/34.13 (define @t157 () (forall @t155 @t151)) % 33.87/34.13 (define @t158 () (@list @t1)) % 33.87/34.13 (define @t159 () (or @t131 @t157)) % 33.87/34.13 (define @t160 () (not @t24)) % 33.87/34.13 (define @t161 () (forall @t7 (or @t160 @t5))) % 33.87/34.13 (define @t162 () (= @t134 tptp.nil)) % 33.87/34.13 (define @t163 () (not @t162)) % 33.87/34.13 (define @t164 () (= @t143 @t163)) % 33.87/34.13 (define @t165 () (not @t48)) % 33.87/34.13 (define @t166 () (or @t145 @t165 @t164)) % 33.87/34.13 (define @t167 () (forall @t153 @t150)) % 33.87/34.13 (define @t168 () (= tptp.nil @t134)) % 33.87/34.13 (define @t169 () (not @t168)) % 33.87/34.13 (define @t170 () (= @t143 @t169)) % 33.87/34.13 (define @t171 () (or @t145 @t165 @t170)) % 33.87/34.13 (define @t172 () (@list false)) % 33.87/34.13 (define @t173 () (@list @t167)) % 33.87/34.13 (define @t174 () (= @t68 @t120)) % 33.87/34.13 (define @t175 () (tptp.frontsegP tptp.nil @t134)) % 33.87/34.13 (define @t176 () (or @t145 (= @t175 @t162))) % 33.87/34.13 (define @t177 () (forall @t9 (or @t131 @t174))) % 33.87/34.13 (define @t178 () (= @t168 @t175)) % 33.87/34.13 (define @t179 () (or @t145 @t178)) % 33.87/34.13 (define @t180 () (= tptp.nil @t140)) % 33.87/34.13 (define @t181 () (and @t180 @t141)) % 33.87/34.13 (define @t182 () (not @t180)) % 33.87/34.13 (define @t183 () (not (= @t122 tptp.nil))) % 33.87/34.13 (define @t184 () (or @t183 @t121)) % 33.87/34.13 (define @t185 () (and @t125 @t184)) % 33.87/34.13 (define @t186 () (or @t183 @t120)) % 33.87/34.13 (define @t187 () (and @t186 @t129)) % 33.87/34.13 (define @t188 () (or @t131 @t130 @t187 @t185)) % 33.87/34.13 (define @t189 () (or @t130 @t187 @t185)) % 33.87/34.13 (define @t190 () (or @t131 @t189)) % 33.87/34.13 (define @t191 () (forall @t132 @t190)) % 33.87/34.13 (define @t192 () (@list @t122 @t124)) % 33.87/34.13 (define @t193 () (forall @t192 @t190)) % 33.87/34.13 (define @t194 () (forall @t192 @t189)) % 33.87/34.13 (define @t195 () (@var "BOUND_VARIABLE_11073" $$unsorted)) % 33.87/34.13 (define @t196 () (or @t131 @t194)) % 33.87/34.13 (define @t197 () (not (= @t1 tptp.nil))) % 33.87/34.13 (define @t198 () (or @t197 @t121)) % 33.87/34.13 (define @t199 () (or (not (tptp.ssList @t195)) (not (tptp.neq @t195 tptp.nil)) (not (tptp.frontsegP @t1 @t195)) (not (tptp.frontsegP @t2 @t195)))) % 33.87/34.13 (define @t200 () (and @t199 @t198)) % 33.87/34.13 (define @t201 () (not @t90)) % 33.87/34.13 (define @t202 () (or @t128 @t127 @t201 @t126)) % 33.87/34.13 (define @t203 () (and (or @t197 @t120) (or @t94 (not (forall @t38 @t202))))) % 33.87/34.13 (define @t204 () (or @t160 @t203 @t200)) % 33.87/34.13 (define @t205 () (forall (@list @t1 @t195) @t204)) % 33.87/34.13 (define @t206 () (or @t131 @t205)) % 33.87/34.13 (define @t207 () (@list @t195)) % 33.87/34.13 (define @t208 () (forall @t207 @t204)) % 33.87/34.13 (define @t209 () (forall @t207 @t198)) % 33.87/34.13 (define @t210 () (forall @t207 @t199)) % 33.87/34.13 (define @t211 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 33.87/34.13 (define @t212 () (@list @t211)) % 33.87/34.13 (define @t213 () (and @t210 @t209)) % 33.87/34.13 (define @t214 () (forall @t207 @t200)) % 33.87/34.13 (define @t215 () (or @t160 @t203 @t214)) % 33.87/34.13 (define @t216 () (and (forall (@list @t211) (or (not (tptp.ssList @t211)) (not (tptp.neq @t211 tptp.nil)) (not (tptp.frontsegP @t1 @t211)) (not (tptp.frontsegP @t2 @t211)))) @t198)) % 33.87/34.13 (define @t217 () (or @t160 @t203 @t216)) % 33.87/34.13 (define @t218 () (forall @t7 @t217)) % 33.87/34.13 (define @t219 () (or @t131 @t218)) % 33.87/34.13 (define @t220 () (or @t131 @t217)) % 33.87/34.13 (define @t221 () (or @t160 @t203 @t131 @t216)) % 33.87/34.13 (define @t222 () (or @t203 @t160 @t131 @t216)) % 33.87/34.13 (define @t223 () (@var "BOUND_VARIABLE_11017" $$unsorted)) % 33.87/34.13 (define @t224 () (@list @t223)) % 33.87/34.13 (define @t225 () (forall @t224 @t198)) % 33.87/34.13 (define @t226 () (not (tptp.frontsegP @t1 @t223))) % 33.87/34.13 (define @t227 () (not (tptp.neq @t223 tptp.nil))) % 33.87/34.13 (define @t228 () (not (tptp.ssList @t223))) % 33.87/34.13 (define @t229 () (or @t228 @t227 @t226 (not (tptp.frontsegP @t2 @t223)))) % 33.87/34.13 (define @t230 () (forall @t224 @t229)) % 33.87/34.13 (define @t231 () (@list @t223)) % 33.87/34.13 (define @t232 () (and @t230 @t225)) % 33.87/34.13 (define @t233 () (and @t229 @t198)) % 33.87/34.13 (define @t234 () (forall @t224 @t233)) % 33.87/34.13 (define @t235 () (or @t131 @t234)) % 33.87/34.13 (define @t236 () (or @t131 @t233)) % 33.87/34.13 (define @t237 () (not (= @t2 @t2))) % 33.87/34.13 (define @t238 () (or @t131 @t237 @t233)) % 33.87/34.13 (define @t239 () (not (= @t12 tptp.nil))) % 33.87/34.13 (define @t240 () (or @t197 @t239)) % 33.87/34.13 (define @t241 () (or @t228 @t227 @t226 (not (tptp.frontsegP @t12 @t223)))) % 33.87/34.13 (define @t242 () (and @t241 @t240)) % 33.87/34.13 (define @t243 () (not @t15)) % 33.87/34.13 (define @t244 () (or @t107 @t243 @t107 @t242)) % 33.87/34.13 (define @t245 () (or @t243 @t107 @t242)) % 33.87/34.13 (define @t246 () (forall @t16 @t245)) % 33.87/34.13 (define @t247 () (forall @t224 @t246)) % 33.87/34.13 (define @t248 () (forall (@list @t223 @t12) @t245)) % 33.87/34.13 (define @t249 () (forall (@list @t12 @t223) @t245)) % 33.87/34.13 (define @t250 () (forall @t224 @t245)) % 33.87/34.13 (define @t251 () (forall @t224 @t240)) % 33.87/34.13 (define @t252 () (forall @t224 @t241)) % 33.87/34.13 (define @t253 () (@var "BOUND_VARIABLE_10991" $$unsorted)) % 33.87/34.13 (define @t254 () (@list @t253)) % 33.87/34.13 (define @t255 () (and @t252 @t251)) % 33.87/34.13 (define @t256 () (forall @t224 @t242)) % 33.87/34.13 (define @t257 () (or @t243 @t107 @t256)) % 33.87/34.13 (define @t258 () (and (forall (@list @t253) (or (not (tptp.ssList @t253)) (not (tptp.neq @t253 tptp.nil)) (not (tptp.frontsegP @t1 @t253)) (not (tptp.frontsegP @t12 @t253)))) @t240)) % 33.87/34.13 (define @t259 () (or @t243 @t107 @t258)) % 33.87/34.13 (define @t260 () (forall @t16 @t259)) % 33.87/34.13 (define @t261 () (or @t203 @t160 @t260)) % 33.87/34.13 (define @t262 () (or @t203 @t160 @t259)) % 33.87/34.13 (define @t263 () (or @t243 @t107 @t203 @t160 @t258)) % 33.87/34.13 (define @t264 () (or @t107 @t203 @t160 @t258)) % 33.87/34.13 (define @t265 () (@var "BOUND_VARIABLE_10963" $$unsorted)) % 33.87/34.13 (define @t266 () (@list @t265)) % 33.87/34.13 (define @t267 () (forall @t266 @t240)) % 33.87/34.13 (define @t268 () (not (tptp.frontsegP @t12 @t265))) % 33.87/34.13 (define @t269 () (not (tptp.neq @t265 tptp.nil))) % 33.87/34.13 (define @t270 () (not (tptp.ssList @t265))) % 33.87/34.13 (define @t271 () (or @t270 @t269 (not (tptp.frontsegP @t1 @t265)) @t268)) % 33.87/34.13 (define @t272 () (forall @t266 @t271)) % 33.87/34.13 (define @t273 () (@list @t265)) % 33.87/34.13 (define @t274 () (and @t272 @t267)) % 33.87/34.13 (define @t275 () (and @t271 @t240)) % 33.87/34.13 (define @t276 () (forall @t266 @t275)) % 33.87/34.13 (define @t277 () (or @t160 @t276)) % 33.87/34.13 (define @t278 () (or @t160 @t275)) % 33.87/34.13 (define @t279 () (not (= @t1 @t1))) % 33.87/34.13 (define @t280 () (or @t160 @t279 @t275)) % 33.87/34.13 (define @t281 () (or (not (= @t10 tptp.nil)) @t239)) % 33.87/34.13 (define @t282 () (or @t270 @t269 (not (tptp.frontsegP @t10 @t265)) @t268)) % 33.87/34.13 (define @t283 () (and @t282 @t281)) % 33.87/34.13 (define @t284 () (not @t13)) % 33.87/34.13 (define @t285 () (or @t108 @t284 @t108 @t283)) % 33.87/34.13 (define @t286 () (or @t284 @t108 @t283)) % 33.87/34.13 (define @t287 () (forall @t14 @t286)) % 33.87/34.13 (define @t288 () (forall @t266 @t287)) % 33.87/34.13 (define @t289 () (forall (@list @t265 @t10) @t286)) % 33.87/34.13 (define @t290 () (forall (@list @t10 @t265) @t286)) % 33.87/34.13 (define @t291 () (forall @t266 @t286)) % 33.87/34.13 (define @t292 () (forall @t266 @t281)) % 33.87/34.13 (define @t293 () (forall @t266 @t282)) % 33.87/34.13 (define @t294 () (and @t293 @t292)) % 33.87/34.13 (define @t295 () (forall @t266 @t283)) % 33.87/34.13 (define @t296 () (or @t284 @t108 @t295)) % 33.87/34.13 (define @t297 () (not @t39)) % 33.87/34.13 (define @t298 () (or @t297 @t103 @t102 @t101)) % 33.87/34.13 (define @t299 () (and (forall @t40 @t298) @t281)) % 33.87/34.13 (define @t300 () (or @t284 @t108 @t299)) % 33.87/34.13 (define @t301 () (forall @t14 @t300)) % 33.87/34.13 (define @t302 () (or @t107 @t203 @t301)) % 33.87/34.13 (define @t303 () (or @t107 @t203 @t300)) % 33.87/34.13 (define @t304 () (or @t284 @t108 @t107 @t299 @t203)) % 33.87/34.13 (define @t305 () (or @t108 @t107 @t299 @t203)) % 33.87/34.13 (define @t306 () (forall @t38 (not @t92))) % 33.87/34.13 (define @t307 () (not @t306)) % 33.87/34.13 (define @t308 () (= tptp.nil @t137)) % 33.87/34.13 (define @t309 () (not @t308)) % 33.87/34.13 (define @t310 () (or @t182 @t309)) % 33.87/34.13 (define @t311 () (and @t146 @t310)) % 33.87/34.13 (define @t312 () (forall @t38 (or @t128 @t127 (not (tptp.segmentP @t140 @t34)) (not (tptp.segmentP @t137 @t34))))) % 33.87/34.13 (define @t313 () (not @t312)) % 33.87/34.13 (define @t314 () (tptp.neq @t140 tptp.nil)) % 33.87/34.13 (define @t315 () (not @t314)) % 33.87/34.13 (define @t316 () (or @t315 @t313)) % 33.87/34.13 (define @t317 () (or @t182 @t308)) % 33.87/34.13 (define @t318 () (and @t317 @t316)) % 33.87/34.13 (define @t319 () (tptp.ssList @t140)) % 33.87/34.13 (define @t320 () (not @t319)) % 33.87/34.13 (define @t321 () (tptp.ssList @t137)) % 33.87/34.13 (define @t322 () (not @t321)) % 33.87/34.13 (define @t323 () (or @t322 @t320 @t318 @t311)) % 33.87/34.13 (define @t324 () (not @t323)) % 33.87/34.13 (define @t325 () (not @t133)) % 33.87/34.13 (define @t326 () (= @t137 tptp.nil)) % 33.87/34.13 (define @t327 () (not @t326)) % 33.87/34.13 (define @t328 () (or @t182 @t327)) % 33.87/34.13 (define @t329 () (and @t146 @t328)) % 33.87/34.13 (define @t330 () (or @t182 @t326)) % 33.87/34.13 (define @t331 () (and @t330 @t316)) % 33.87/34.13 (define @t332 () (or @t322 @t320 @t331 @t329)) % 33.87/34.13 (define @t333 () (not @t332)) % 33.87/34.13 (define @t334 () (@list true)) % 33.87/34.13 (define @t335 () (@list @t323)) % 33.87/34.13 (define @t336 () (tptp.neq tptp.nil tptp.nil)) % 33.87/34.13 (define @t337 () (not (= tptp.nil tptp.nil))) % 33.87/34.13 (define @t338 () (= @t336 @t337)) % 33.87/34.13 (define @t339 () (or @t165 @t165 @t338)) % 33.87/34.13 (define @t340 () (not @t336)) % 33.87/34.13 (define @t341 () (or @t165 @t165 @t340)) % 33.87/34.13 (define @t342 () (@list false false)) % 33.87/34.13 (define @t343 () (and @t180 @t340)) % 33.87/34.13 (define @t344 () (not @t182)) % 33.87/34.13 (define @t345 () (@list @t180)) % 33.87/34.13 (define @t346 () (@list true false)) % 33.87/34.13 (define @t347 () (@list @t146)) % 33.87/34.13 (define @t348 () (tptp.app tptp.nil @t134)) % 33.87/34.13 (define @t349 () (= @t134 @t348)) % 33.87/34.13 (define @t350 () (or @t145 @t349)) % 33.87/34.13 (define @t351 () (@var "BOUND_VARIABLE_8320" $$unsorted)) % 33.87/34.13 (define @t352 () (= (tptp.frontsegP @t2 @t351) (not (forall @t16 (or @t243 (not (= @t2 (tptp.app @t351 @t12)))))))) % 33.87/34.13 (define @t353 () (not (tptp.ssList @t351))) % 33.87/34.13 (define @t354 () (or @t353 @t352)) % 33.87/34.13 (define @t355 () (or @t131 @t354)) % 33.87/34.13 (define @t356 () (forall (@list @t2 @t351) @t355)) % 33.87/34.13 (define @t357 () (@list @t351)) % 33.87/34.13 (define @t358 () (forall @t357 @t355)) % 33.87/34.13 (define @t359 () (forall @t357 @t354)) % 33.87/34.13 (define @t360 () (or @t131 @t359)) % 33.87/34.13 (define @t361 () (= @t2 @t19)) % 33.87/34.13 (define @t362 () (= @t22 (not (forall @t16 (or @t243 (not @t361)))))) % 33.87/34.13 (define @t363 () (forall @t7 (or @t160 @t362))) % 33.87/34.13 (define @t364 () (and @t15 @t361)) % 33.87/34.13 (define @t365 () (forall @t16 (not @t364))) % 33.87/34.13 (define @t366 () (not @t365)) % 33.87/34.13 (define @t367 () (tptp.app @t134 @t12)) % 33.87/34.13 (define @t368 () (forall @t16 (or @t243 (not (= @t137 @t367))))) % 33.87/34.13 (define @t369 () (not @t368)) % 33.87/34.13 (define @t370 () (= @t138 @t369)) % 33.87/34.13 (define @t371 () (or @t322 @t145 @t370)) % 33.87/34.13 (define @t372 () (@list false false false)) % 33.87/34.13 (define @t373 () (@quantifiers_skolemize @t368 0)) % 33.87/34.13 (define @t374 () (tptp.app @t134 @t373)) % 33.87/34.13 (define @t375 () (= @t137 @t374)) % 33.87/34.13 (define @t376 () (not @t375)) % 33.87/34.13 (define @t377 () (tptp.ssList @t373)) % 33.87/34.13 (define @t378 () (not @t377)) % 33.87/34.13 (define @t379 () (or @t378 @t376)) % 33.87/34.13 (define @t380 () (not @t379)) % 33.87/34.13 (define @t381 () (@list @t379)) % 33.87/34.13 (define @t382 () (tptp.segmentP @t137 @t134)) % 33.87/34.13 (define @t383 () (not @t382)) % 33.87/34.13 (define @t384 () (tptp.segmentP @t140 @t134)) % 33.87/34.13 (define @t385 () (not @t384)) % 33.87/34.13 (define @t386 () (or @t145 @t144 @t385 @t383)) % 33.87/34.13 (define @t387 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 33.87/34.13 (define @t388 () (@var "BOUND_VARIABLE_10215" $$unsorted)) % 33.87/34.13 (define @t389 () (@var "BOUND_VARIABLE_10213" $$unsorted)) % 33.87/34.13 (define @t390 () (tptp.segmentP (tptp.app (tptp.app @t389 @t2) @t388) @t387)) % 33.87/34.13 (define @t391 () (not (tptp.ssList @t388))) % 33.87/34.13 (define @t392 () (not (tptp.ssList @t389))) % 33.87/34.13 (define @t393 () (not (tptp.segmentP @t2 @t387))) % 33.87/34.13 (define @t394 () (not (tptp.ssList @t387))) % 33.87/34.13 (define @t395 () (or @t394 @t393 @t392 @t391 @t390)) % 33.87/34.13 (define @t396 () (or @t131 @t395)) % 33.87/34.13 (define @t397 () (forall (@list @t2 @t387 @t389 @t388) @t396)) % 33.87/34.13 (define @t398 () (@list @t387 @t389 @t388)) % 33.87/34.13 (define @t399 () (forall @t398 @t396)) % 33.87/34.13 (define @t400 () (forall @t398 @t395)) % 33.87/34.13 (define @t401 () (@var "BOUND_VARIABLE_10192" $$unsorted)) % 33.87/34.13 (define @t402 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 33.87/34.13 (define @t403 () (or @t131 @t400)) % 33.87/34.13 (define @t404 () (tptp.segmentP (tptp.app (tptp.app @t402 @t2) @t401) @t1)) % 33.87/34.13 (define @t405 () (not (tptp.ssList @t401))) % 33.87/34.13 (define @t406 () (not (tptp.ssList @t402))) % 33.87/34.13 (define @t407 () (not @t31)) % 33.87/34.13 (define @t408 () (or @t160 @t407 @t406 @t405 @t404)) % 33.87/34.13 (define @t409 () (@list @t1 @t402 @t401)) % 33.87/34.13 (define @t410 () (forall @t409 @t408)) % 33.87/34.13 (define @t411 () (or @t406 @t405 @t404)) % 33.87/34.13 (define @t412 () (or @t160 @t407 @t411)) % 33.87/34.13 (define @t413 () (forall @t409 @t412)) % 33.87/34.13 (define @t414 () (@list @t402 @t401)) % 33.87/34.13 (define @t415 () (forall @t414 @t412)) % 33.87/34.13 (define @t416 () (forall @t414 @t411)) % 33.87/34.13 (define @t417 () (@var "BOUND_VARIABLE_10173" $$unsorted)) % 33.87/34.13 (define @t418 () (or @t160 @t407 @t416)) % 33.87/34.13 (define @t419 () (tptp.segmentP (tptp.app @t71 @t417) @t1)) % 33.87/34.13 (define @t420 () (not (tptp.ssList @t417))) % 33.87/34.13 (define @t421 () (or @t243 @t420 @t419)) % 33.87/34.13 (define @t422 () (@list @t12 @t417)) % 33.87/34.13 (define @t423 () (forall @t422 @t421)) % 33.87/34.13 (define @t424 () (or @t160 @t407 @t423)) % 33.87/34.13 (define @t425 () (or @t407 @t423)) % 33.87/34.13 (define @t426 () (or @t420 @t419)) % 33.87/34.13 (define @t427 () (or @t243 @t426)) % 33.87/34.13 (define @t428 () (forall @t422 @t427)) % 33.87/34.13 (define @t429 () (@list @t417)) % 33.87/34.13 (define @t430 () (forall @t429 @t427)) % 33.87/34.13 (define @t431 () (forall @t429 @t426)) % 33.87/34.13 (define @t432 () (or @t243 @t431)) % 33.87/34.13 (define @t433 () (or @t284 @t74)) % 33.87/34.13 (define @t434 () (forall @t14 @t433)) % 33.87/34.13 (define @t435 () (or @t243 @t434)) % 33.87/34.13 (define @t436 () (forall @t16 @t435)) % 33.87/34.13 (define @t437 () (or @t407 @t436)) % 33.87/34.13 (define @t438 () (or @t407 @t435)) % 33.87/34.13 (define @t439 () (or @t243 @t407 @t434)) % 33.87/34.13 (define @t440 () (or @t407 @t434)) % 33.87/34.13 (define @t441 () (or @t407 @t433)) % 33.87/34.13 (define @t442 () (or @t284 @t407 @t74)) % 33.87/34.13 (define @t443 () (forall @t16 (or @t243 (not (= @t140 @t367))))) % 33.87/34.13 (define @t444 () (@quantifiers_skolemize @t443 0)) % 33.87/34.13 (define @t445 () (not @t443)) % 33.87/34.13 (define @t446 () (= @t141 @t445)) % 33.87/34.13 (define @t447 () (or @t320 @t145 @t446)) % 33.87/34.13 (define @t448 () (tptp.app @t134 @t444)) % 33.87/34.13 (define @t449 () (= @t140 @t448)) % 33.87/34.13 (define @t450 () (not @t449)) % 33.87/34.13 (define @t451 () (tptp.ssList @t444)) % 33.87/34.13 (define @t452 () (not @t451)) % 33.87/34.13 (define @t453 () (or @t452 @t450)) % 33.87/34.13 (define @t454 () (not @t453)) % 33.87/34.13 (define @t455 () (@list @t453)) % 33.87/34.13 (define @t456 () (tptp.segmentP @t134 @t134)) % 33.87/34.13 (define @t457 () (or @t145 @t456)) % 33.87/34.13 (define @t458 () (tptp.segmentP (tptp.app @t348 @t444) @t134)) % 33.87/34.13 (define @t459 () (not @t456)) % 33.87/34.13 (define @t460 () (or @t145 @t145 @t459 @t165 @t452 @t458)) % 33.87/34.13 (define @t461 () (@list false false false false false)) % 33.87/34.13 (define @t462 () (and @t349 @t449 @t458)) % 33.87/34.13 (define @t463 () (not @t349)) % 33.87/34.13 (define @t464 () (tptp.segmentP (tptp.app @t348 @t373) @t134)) % 33.87/34.13 (define @t465 () (or @t145 @t145 @t459 @t165 @t378 @t464)) % 33.87/34.13 (define @t466 () (not @t464)) % 33.87/34.13 (define @t467 () (and @t464 @t349 @t375 @t383)) % 33.87/34.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 33.87/34.13 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 33.87/34.13 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 33.87/34.13 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 33.87/34.13 (assume @p5 @t28) % 33.87/34.13 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 33.87/34.13 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 33.87/34.13 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 33.87/34.13 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 33.87/34.13 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 33.87/34.13 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 33.87/34.13 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 33.87/34.13 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 33.87/34.13 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 33.87/34.13 (assume @p15 @t46) % 33.87/34.13 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 33.87/34.13 (assume @p17 @t48) % 33.87/34.13 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 33.87/34.13 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 33.87/34.13 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t50 @t2))))))))) % 33.87/34.13 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 33.87/34.13 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 33.87/34.13 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 33.87/34.13 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 33.87/34.13 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 33.87/34.13 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t55)))))) % 33.87/34.13 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 33.87/34.13 (assume @p28 @t59) % 33.87/34.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 33.87/34.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12))))))))) % 33.87/34.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 33.87/34.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 33.87/34.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 33.87/34.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65)))))))) % 33.87/34.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 33.87/34.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 33.87/34.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 33.87/34.13 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 33.87/34.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 33.87/34.13 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 33.87/34.13 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 (tptp.frontsegP @t1 @t2)) @t3)))))) % 33.87/34.13 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 33.87/34.13 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 33.87/34.13 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 33.87/34.13 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 33.87/34.13 (assume @p46 @t70) % 33.87/34.13 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 33.87/34.13 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 33.87/34.13 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 33.87/34.13 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t71 @t1))))))))) % 33.87/34.13 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 33.87/34.13 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 33.87/34.13 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 33.87/34.13 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 33.87/34.13 (assume @p55 @t73) % 33.87/34.13 (assume @p56 @t82) % 33.87/34.13 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 33.87/34.13 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 33.87/34.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t83)))) % 33.87/34.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 33.87/34.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t83)))) % 33.87/34.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 33.87/34.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t83)))) % 33.87/34.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 33.87/34.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t83)))) % 33.87/34.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 33.87/34.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t87) (or @t85 (and @t86 (tptp.totalorderedP @t1) (tptp.leq @t2 @t84))))))))) % 33.87/34.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t83)))) % 33.87/34.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 33.87/34.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t87) (or @t85 (and @t86 (tptp.strictorderedP @t1) (tptp.lt @t2 @t84))))))))) % 33.87/34.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t83)))) % 33.87/34.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 33.87/34.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t83)))) % 33.87/34.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 33.87/34.13 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 33.87/34.13 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t24 (= @t54 @t1))))))) % 33.87/34.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t86 @t53 (= @t84 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 33.87/34.13 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 33.87/34.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t55) @t88)))))))) % 33.87/34.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t88)))))))) % 33.87/34.13 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 33.87/34.13 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 33.87/34.13 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t55) (and @t85 @t51))))))) % 33.87/34.13 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 33.87/34.13 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 33.87/34.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 33.87/34.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 33.87/34.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 33.87/34.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 33.87/34.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 33.87/34.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65)))))))) % 33.87/34.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 33.87/34.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 33.87/34.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 33.87/34.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 33.87/34.13 (assume @p96 @t118) % 33.87/34.13 (assume @p97 true) % 33.87/34.13 (step @p98 :rule bool-impl-elim :args (@t17 @t119)) % 33.87/34.13 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t119)))) % 33.87/34.13 (step @p100 :rule eq-symm :args (@t57 @t2)) % 33.87/34.13 (step @p101 :rule refl :args (@t17)) % 33.87/34.13 (step @p102 :rule cong :premises (@p101 @p100) :args (@t58)) % 33.87/34.13 (step @p103 :rule cong :premises (@p102) :args (@t59)) % 33.87/34.13 (step @p104 :rule trans :premises (@p103 @p99)) % 33.87/34.13 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 33.87/34.13 (step @p106 :rule instantiate :premises (@p105) :args (@t135)) % 33.87/34.13 (step @p107 :rule bool-double-not-elim :args (@t136)) % 33.87/34.13 (step @p108 :rule refl :args (@t146)) % 33.87/34.13 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t146 (not @t145)))) % 33.87/34.13 (step @p110 :rule cnf_or_neg :args (@t146 0)) % 33.87/34.13 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 33.87/34.13 (step @p112 :rule reordering :premises (@p111) :args ((or @t136 @t146))) % 33.87/34.13 (step @p113 :rule bool-double-not-elim :args (@t143)) % 33.87/34.13 (step @p114 :rule nary_cong :premises (@p108 @p113) :args ((or @t146 (not @t144)))) % 33.87/34.13 (step @p115 :rule cnf_or_neg :args (@t146 1)) % 33.87/34.13 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 33.87/34.13 (step @p117 :rule reordering :premises (@p116) :args ((or @t143 @t146))) % 33.87/34.13 (step @p118 :rule bool-double-not-elim :args (@t141)) % 33.87/34.13 (step @p119 :rule nary_cong :premises (@p108 @p118) :args ((or @t146 (not @t142)))) % 33.87/34.13 (step @p120 :rule cnf_or_neg :args (@t146 2)) % 33.87/34.13 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 33.87/34.13 (step @p122 :rule reordering :premises (@p121) :args ((or @t141 @t146))) % 33.87/34.13 (step @p123 :rule aci_norm :args ((= @t152 @t150))) % 33.87/34.13 (step @p124 :rule cong :premises (@p123) :args (@t154)) % 33.87/34.13 (step @p125 :rule quant-merge-prenex :args ((= (forall @t9 @t156) @t154))) % 33.87/34.13 (step @p126 :rule alpha_equiv :args (@t157 (@list @t147) @t158)) % 33.87/34.13 (step @p127 :rule refl :args (@t131)) % 33.87/34.13 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t159)) % 33.87/34.13 (step @p129 :rule quant-miniscope-or :args ((= @t156 @t159))) % 33.87/34.13 (step @p130 :rule trans :premises (@p129 @p128)) % 33.87/34.13 (step @p131 :rule symm :premises (@p130)) % 33.87/34.13 (step @p132 :rule cong :premises (@p131) :args ((forall @t9 (or @t131 @t161)))) % 33.87/34.13 (step @p133 :rule trans :premises (@p132 @p125)) % 33.87/34.13 (step @p134 :rule trans :premises (@p133 @p124)) % 33.87/34.13 (step @p135 :rule bool-impl-elim :args (@t17 @t161)) % 33.87/34.13 (step @p136 :rule cong :premises (@p135) :args ((forall @t9 (=> @t17 @t161)))) % 33.87/34.13 (step @p137 :rule trans :premises (@p136 @p134)) % 33.87/34.13 (step @p138 :rule bool-impl-elim :args (@t24 @t5)) % 33.87/34.13 (step @p139 :rule cong :premises (@p138) :args (@t44)) % 33.87/34.13 (step @p140 :rule cong :premises (@p101 @p139) :args (@t45)) % 33.87/34.13 (step @p141 :rule cong :premises (@p140) :args (@t46)) % 33.87/34.13 (step @p142 :rule trans :premises (@p141 @p137)) % 33.87/34.13 (step @p143 :rule eq_resolve :premises (@p15 @p142)) % 33.87/34.13 (step @p144 :rule eq-symm :args (@t134 tptp.nil)) % 33.87/34.13 (step @p145 :rule cong :premises (@p144) :args (@t163)) % 33.87/34.13 (step @p146 :rule refl :args (@t143)) % 33.87/34.13 (step @p147 :rule cong :premises (@p146 @p145) :args (@t164)) % 33.87/34.13 (step @p148 :rule refl :args (@t165)) % 33.87/34.13 (step @p149 :rule refl :args (@t145)) % 33.87/34.13 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147) :args (@t166)) % 33.87/34.13 (step @p151 :rule refl :args (@t167)) % 33.87/34.13 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t167 @t166))) % 33.87/34.13 (assume-push @p844 @t167) % 33.87/34.13 (step @p154 :rule instantiate :premises (@p143) :args ((@list @t134 tptp.nil))) % 33.87/34.13 (step-pop @p845 :rule scope :premises (@p154)) % 33.87/34.13 (step @p155 :rule process_scope :premises (@p845) :args (@t166)) % 33.87/34.13 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 33.87/34.13 (step @p158 :rule implies_elim :premises (@p157)) % 33.87/34.13 (step @p159 :rule chain_m_resolution :premises (@p158 @p143) :args (@t171 @t172 @t173)) % 33.87/34.13 (step @p160 :rule cnf_or_pos :args (@t171)) % 33.87/34.13 (step @p161 :rule reordering :premises (@p160) :args ((or @t165 @t145 @t170 (not @t171)))) % 33.87/34.13 (step @p162 :rule bool-impl-elim :args (@t17 @t174)) % 33.87/34.13 (step @p163 :rule cong :premises (@p162) :args ((forall @t9 (=> @t17 @t174)))) % 33.87/34.13 (step @p164 :rule eq-symm :args (@t120 @t68)) % 33.87/34.13 (step @p165 :rule refl :args (@t68)) % 33.87/34.13 (step @p166 :rule eq-symm :args (tptp.nil @t2)) % 33.87/34.13 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t51 @t68))) % 33.87/34.13 (step @p168 :rule trans :premises (@p167 @p164)) % 33.87/34.13 (step @p169 :rule eq-symm :args (@t68 @t51)) % 33.87/34.13 (step @p170 :rule trans :premises (@p169 @p168)) % 33.87/34.13 (step @p171 :rule cong :premises (@p101 @p170) :args (@t69)) % 33.87/34.13 (step @p172 :rule cong :premises (@p171) :args (@t70)) % 33.87/34.13 (step @p173 :rule trans :premises (@p172 @p163)) % 33.87/34.13 (step @p174 :rule eq_resolve :premises (@p46 @p173)) % 33.87/34.13 (step @p175 :rule refl :args (@t175)) % 33.87/34.13 (step @p176 :rule cong :premises (@p144 @p175) :args ((= @t162 @t175))) % 33.87/34.13 (step @p177 :rule eq-symm :args (@t175 @t162)) % 33.87/34.13 (step @p178 :rule trans :premises (@p177 @p176)) % 33.87/34.13 (step @p179 :rule nary_cong :premises (@p149 @p178) :args (@t176)) % 33.87/34.13 (step @p180 :rule refl :args (@t177)) % 33.87/34.13 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t177 @t176))) % 33.87/34.13 (assume-push @p846 @t177) % 33.87/34.13 (step @p183 :rule instantiate :premises (@p174) :args (@t135)) % 33.87/34.13 (step-pop @p847 :rule scope :premises (@p183)) % 33.87/34.13 (step @p184 :rule process_scope :premises (@p847) :args (@t176)) % 33.87/34.13 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 33.87/34.13 (step @p187 :rule implies_elim :premises (@p186)) % 33.87/34.13 (step @p188 :rule chain_m_resolution :premises (@p187 @p174) :args (@t179 @t172 (@list @t177))) % 33.87/34.13 (step @p189 :rule cnf_or_pos :args (@t179)) % 33.87/34.13 (step @p190 :rule reordering :premises (@p189) :args ((or @t145 @t178 (not @t179)))) % 33.87/34.13 (step @p191 :rule cnf_equiv_pos1 :args (@t170)) % 33.87/34.13 (step @p192 :rule reordering :premises (@p191) :args ((or @t144 @t169 (not @t170)))) % 33.87/34.13 (step @p193 :rule cnf_equiv_pos2 :args (@t178)) % 33.87/34.13 (step @p194 :rule reordering :premises (@p193) :args ((or @t168 (not @t175) (not @t178)))) % 33.87/34.13 (assume-push @p848 @t180) % 33.87/34.13 (assume-push @p849 @t141) % 33.87/34.13 (assume-push @p850 @t141) % 33.87/34.13 (assume-push @p851 @t180) % 33.87/34.13 (step @p199 :rule true_intro :premises (@p849)) % 33.87/34.13 (step @p200 :rule refl :args (@t134)) % 33.87/34.13 (step @p201 :rule cong :premises (@p848 @p200) :args (@t175)) % 33.87/34.13 (step @p202 :rule trans :premises (@p201 @p199)) % 33.87/34.13 (step @p203 :rule true_elim :premises (@p202)) % 33.87/34.13 (step-pop @p852 :rule scope :premises (@p203)) % 33.87/34.13 (step-pop @p853 :rule scope :premises (@p852)) % 33.87/34.13 (step @p204 :rule process_scope :premises (@p853) :args (@t175)) % 33.87/34.13 (step @p207 :rule and_intro :premises (@p849 @p848)) % 33.87/34.13 (step @p208 :rule modus_ponens :premises (@p207 @p204)) % 33.87/34.13 (step-pop @p854 :rule scope :premises 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@p871 :rule scope :premises (@p631)) % 33.87/34.13 (step @p632 :rule process_scope :premises (@p871) :args (@t386)) % 33.87/34.13 (step @p634 :rule implies_elim :premises (@p632)) % 33.87/34.13 (step @p635 :rule chain_m_resolution :premises (@p634 @p629) :args (@t386 @t172 (@list @t312))) % 33.87/34.13 (step @p636 :rule aci_norm :args ((= @t396 (or @t131 @t394 @t393 @t392 @t391 @t390)))) % 33.87/34.13 (step @p637 :rule cong :premises (@p636) :args (@t397)) % 33.87/34.13 (step @p638 :rule quant-merge-prenex :args ((= (forall @t9 @t399) @t397))) % 33.87/34.13 (step @p639 :rule alpha_equiv :args (@t400 (@list @t387 @t389 @t388) (@list @t1 @t402 @t401))) % 33.87/34.13 (step @p640 :rule nary_cong :premises (@p127 @p639) :args (@t403)) % 33.87/34.13 (step @p641 :rule quant-miniscope-or :args ((= @t399 @t403))) % 33.87/34.13 (step @p642 :rule trans :premises (@p641 @p640)) % 33.87/34.13 (step @p643 :rule symm :premises (@p642)) % 33.87/34.13 (step @p644 :rule cong :premises (@p643) :args 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(step @p658 :rule symm :premises (@p657)) % 33.87/34.13 (step @p659 :rule cong :premises (@p658) :args ((forall @t7 @t424))) % 33.87/34.13 (step @p660 :rule trans :premises (@p659 @p652)) % 33.87/34.13 (step @p661 :rule trans :premises (@p660 @p651)) % 33.87/34.13 (step @p662 :rule aci_norm :args ((= (or @t160 @t425) @t424))) % 33.87/34.13 (step @p663 :rule bool-impl-elim :args (@t24 @t425)) % 33.87/34.13 (step @p664 :rule trans :premises (@p663 @p662)) % 33.87/34.13 (step @p665 :rule cong :premises (@p664) :args ((forall @t7 (=> @t24 @t425)))) % 33.87/34.13 (step @p666 :rule trans :premises (@p665 @p661)) % 33.87/34.13 (step @p667 :rule aci_norm :args ((= @t427 @t421))) % 33.87/34.13 (step @p668 :rule cong :premises (@p667) :args (@t428)) % 33.87/34.13 (step @p669 :rule quant-merge-prenex :args ((= (forall @t16 @t430) @t428))) % 33.87/34.13 (step @p670 :rule alpha_equiv :args (@t431 (@list @t417) (@list @t10))) % 33.87/34.13 (step @p671 :rule nary_cong :premises (@p293 @p670) :args (@t432)) % 33.87/34.13 (step @p672 :rule quant-miniscope-or :args ((= @t430 @t432))) % 33.87/34.13 (step @p673 :rule trans :premises (@p672 @p671)) % 33.87/34.13 (step @p674 :rule symm :premises (@p673)) % 33.87/34.13 (step @p675 :rule cong :premises (@p674) :args (@t436)) % 33.87/34.13 (step @p676 :rule trans :premises (@p675 @p669)) % 33.87/34.13 (step @p677 :rule trans :premises (@p676 @p668)) % 33.87/34.13 (step @p678 :rule refl :args (@t407)) % 33.87/34.13 (step @p679 :rule nary_cong :premises (@p678 @p677) :args (@t437)) % 33.87/34.13 (step @p680 :rule quant-miniscope-or :args ((= (forall @t16 @t438) @t437))) % 33.87/34.13 (step @p681 :rule aci_norm :args ((= @t439 @t438))) % 33.87/34.13 (step @p682 :rule cong :premises (@p681) :args ((forall @t16 @t439))) % 33.87/34.13 (step @p683 :rule trans :premises (@p682 @p680)) % 33.87/34.13 (step @p684 :rule trans :premises (@p683 @p679)) % 33.87/34.13 (step @p685 :rule aci_norm :args ((= (or @t243 @t440) @t439))) % 33.87/34.13 (step @p686 :rule bool-impl-elim :args (@t15 @t440)) % 33.87/34.13 (step @p687 :rule trans :premises (@p686 @p685)) % 33.87/34.13 (step @p688 :rule cong :premises (@p687) :args ((forall @t16 (=> @t15 @t440)))) % 33.87/34.13 (step @p689 :rule trans :premises (@p688 @p684)) % 33.87/34.13 (step @p690 :rule quant-miniscope-or :args ((= (forall @t14 @t441) @t440))) % 33.87/34.13 (step @p691 :rule aci_norm :args ((= @t442 @t441))) % 33.87/34.13 (step @p692 :rule cong :premises (@p691) :args ((forall @t14 @t442))) % 33.87/34.13 (step @p693 :rule trans :premises (@p692 @p690)) % 33.87/34.13 (step @p694 :rule aci_norm :args ((= (or @t284 (or @t407 @t74)) @t442))) % 33.87/34.13 (step @p695 :rule bool-impl-elim :args (@t31 @t74)) % 33.87/34.13 (step @p696 :rule nary_cong :premises (@p355 @p695) :args ((or @t284 @t75))) % 33.87/34.13 (step @p697 :rule trans :premises (@p696 @p694)) % 33.87/34.13 (step @p698 :rule bool-impl-elim :args (@t13 @t75)) % 33.87/34.13 (step @p699 :rule trans :premises (@p698 @p697)) % 33.87/34.13 (step @p700 :rule cong :premises (@p699) :args (@t76)) % 33.87/34.13 (step @p701 :rule trans :premises (@p700 @p693)) % 33.87/34.13 (step @p702 :rule cong :premises (@p432 @p701) :args (@t77)) % 33.87/34.13 (step @p703 :rule cong :premises (@p702) :args (@t78)) % 33.87/34.13 (step @p704 :rule trans :premises (@p703 @p689)) % 33.87/34.13 (step @p705 :rule cong :premises (@p436 @p704) :args (@t79)) % 33.87/34.13 (step @p706 :rule cong :premises (@p705) :args (@t80)) % 33.87/34.13 (step @p707 :rule trans :premises (@p706 @p666)) % 33.87/34.13 (step @p708 :rule cong :premises (@p101 @p707) :args (@t81)) % 33.87/34.13 (step @p709 :rule cong :premises (@p708) :args (@t82)) % 33.87/34.13 (step @p710 :rule trans :premises (@p709 @p649)) % 33.87/34.13 (step @p711 :rule eq_resolve :premises (@p56 @p710)) % 33.87/34.13 (step @p712 :rule instantiate :premises (@p711) :args ((@list @t134 @t134 tptp.nil @t444))) % 33.87/34.13 (step @p713 :rule instantiate :premises (@p579) :args ((@list @t140 @t134))) % 33.87/34.13 (step @p714 :rule bool-double-not-elim :args (@t319)) % 33.87/34.13 (step @p715 :rule nary_cong :premises (@p582 @p714) :args ((or @t323 (not @t320)))) % 33.87/34.13 (step @p716 :rule cnf_or_neg :args (@t323 1)) % 33.87/34.13 (step @p717 :rule eq_resolve :premises (@p716 @p715)) % 33.87/34.13 (step @p718 :rule reordering :premises (@p717) :args ((or @t319 @t323))) % 33.87/34.13 (step @p719 :rule chain_m_resolution :premises (@p718 @p469) :args (@t319 @t334 @t335)) % 33.87/34.13 (step @p720 :rule cnf_or_pos :args (@t447)) % 33.87/34.13 (step @p721 :rule reordering :premises (@p720) :args ((or @t320 @t145 @t446 (not @t447)))) % 33.87/34.13 (step @p722 :rule chain_m_resolution :premises (@p721 @p719 @p542 @p713) :args (@t446 @t372 (@list @t319 @t136 @t447))) % 33.87/34.13 (step @p723 :rule chain_m_resolution :premises (@p122 @p541) :args (@t141 @t334 @t347)) % 33.87/34.13 (step @p724 :rule cnf_equiv_pos1 :args (@t446)) % 33.87/34.13 (step @p725 :rule reordering :premises (@p724) :args ((or @t142 @t445 (not @t446)))) % 33.87/34.13 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p722) :args (@t445 @t342 (@list @t141 @t446))) % 33.87/34.13 (step @p727 :rule refl :args (@t454)) % 33.87/34.13 (step @p728 :rule bool-double-not-elim :args (@t443)) % 33.87/34.13 (step @p729 :rule nary_cong :premises (@p728 @p727) :args ((or (not @t445) @t454))) % 33.87/34.13 (assume-push @p872 @t445) % 33.87/34.13 (step @p731 :rule skolemize :premises (@p872)) % 33.87/34.13 (step-pop @p873 :rule scope :premises (@p731)) % 33.87/34.13 (step @p732 :rule process_scope :premises (@p873) :args (@t454)) % 33.87/34.13 (step @p734 :rule implies_elim :premises (@p732)) % 33.87/34.13 (step @p735 :rule eq_resolve :premises (@p734 @p729)) % 33.87/34.13 (step @p736 :rule chain_m_resolution :premises (@p735 @p726) :args (@t454 @t334 (@list @t443))) % 33.87/34.13 (step @p737 :rule bool-double-not-elim :args (@t451)) % 33.87/34.13 (step @p738 :rule refl :args (@t453)) % 33.87/34.13 (step @p739 :rule nary_cong :premises (@p738 @p737) :args ((or @t453 (not @t452)))) % 33.87/34.13 (step @p740 :rule cnf_or_neg :args (@t453 0)) % 33.87/34.13 (step @p741 :rule eq_resolve :premises (@p740 @p739)) % 33.87/34.13 (step @p742 :rule reordering :premises (@p741) :args ((or @t451 @t453))) % 33.87/34.13 (step @p743 :rule chain_m_resolution :premises (@p742 @p736) :args (@t451 @t334 @t455)) % 33.87/34.13 (step @p744 :rule bool-impl-elim :args (@t17 @t72)) % 33.87/34.13 (step @p745 :rule cong :premises (@p744) :args (@t73)) % 33.87/34.13 (step @p746 :rule eq_resolve :premises (@p55 @p745)) % 33.87/34.13 (step @p747 :rule instantiate :premises (@p746) :args (@t135)) % 33.87/34.13 (step @p748 :rule cnf_or_pos :args (@t457)) % 33.87/34.13 (step @p749 :rule reordering :premises (@p748) :args ((or @t145 @t456 (not @t457)))) % 33.87/34.13 (step @p750 :rule chain_m_resolution :premises (@p749 @p542 @p747) :args (@t456 @t342 (@list @t136 @t457))) % 33.87/34.13 (step @p751 :rule cnf_or_pos :args (@t460)) % 33.87/34.13 (step @p752 :rule factoring :premises (@p751)) % 33.87/34.13 (step @p753 :rule reordering :premises (@p752) :args ((or @t165 @t145 @t459 @t452 @t458 (not @t460)))) % 33.87/34.13 (step @p754 :rule chain_m_resolution :premises (@p753 @p17 @p542 @p750 @p743 @p712) :args (@t458 @t461 (@list @t48 @t136 @t456 @t451 @t460))) % 33.87/34.13 (step @p755 :rule bool-double-not-elim :args (@t449)) % 33.87/34.13 (step @p756 :rule nary_cong :premises (@p738 @p755) :args ((or @t453 (not @t450)))) % 33.87/34.13 (step @p757 :rule cnf_or_neg :args (@t453 1)) % 33.87/34.13 (step @p758 :rule eq_resolve :premises (@p757 @p756)) % 33.87/34.13 (step @p759 :rule reordering :premises (@p758) :args ((or @t449 @t453))) % 33.87/34.13 (step @p760 :rule chain_m_resolution :premises (@p759 @p736) :args (@t449 @t334 @t455)) % 33.87/34.13 (assume-push @p874 @t349) % 33.87/34.13 (assume-push @p875 @t449) % 33.87/34.13 (assume-push @p876 @t458) % 33.87/34.13 (assume-push @p877 @t458) % 33.87/34.13 (assume-push @p878 @t349) % 33.87/34.13 (assume-push @p879 @t449) % 33.87/34.13 (step @p767 :rule true_intro :premises (@p876)) % 33.87/34.13 (step @p200 :rule refl :args (@t134)) % 33.87/34.13 (step @p768 :rule refl :args (@t444)) % 33.87/34.13 (step @p769 :rule cong :premises (@p874 @p768) :args (@t448)) % 33.87/34.13 (step @p770 :rule trans :premises (@p875 @p769)) % 33.87/34.13 (step @p771 :rule cong :premises (@p770 @p200) :args (@t384)) % 33.87/34.13 (step @p772 :rule trans :premises (@p771 @p767)) % 33.87/34.13 (step @p773 :rule true_elim :premises (@p772)) % 33.87/34.13 (step-pop @p880 :rule scope :premises (@p773)) % 33.87/34.13 (step-pop @p881 :rule scope :premises (@p880)) % 33.87/34.13 (step-pop @p882 :rule scope :premises (@p881)) % 33.87/34.13 (step @p774 :rule process_scope :premises (@p882) :args (@t384)) % 33.87/34.13 (step @p778 :rule and_intro :premises (@p876 @p874 @p875)) % 33.87/34.13 (step @p779 :rule modus_ponens :premises (@p778 @p774)) % 33.87/34.13 (step-pop @p883 :rule scope :premises (@p779)) % 33.87/34.13 (step-pop @p884 :rule scope :premises (@p883)) % 33.87/34.13 (step-pop @p885 :rule scope :premises (@p884)) % 33.87/34.13 (step @p780 :rule process_scope :premises (@p885) :args (@t384)) % 33.87/34.13 (step @p784 :rule implies_elim :premises (@p780)) % 33.87/34.13 (step @p785 :rule cnf_and_neg :args (@t462)) % 33.87/34.13 (step @p786 :rule resolution :premises (@p785 @p784) :args (true @t462)) % 33.87/34.13 (step @p787 :rule reordering :premises (@p786) :args ((or @t384 @t463 @t450 (not @t458)))) % 33.87/34.13 (step @p788 :rule chain_m_resolution :premises (@p787 @p545 @p760 @p754) :args (@t384 @t372 (@list @t349 @t449 @t458))) % 33.87/34.13 (step @p789 :rule chain_m_resolution :premises (@p117 @p541) :args (@t143 @t334 @t347)) % 33.87/34.13 (step @p790 :rule cnf_or_pos :args (@t386)) % 33.87/34.13 (step @p791 :rule reordering :premises (@p790) :args ((or @t145 @t144 @t385 @t383 (not @t386)))) % 33.87/34.13 (step @p792 :rule chain_m_resolution :premises (@p791 @p542 @p789 @p788 @p635) :args (@t383 (@list false false false false) (@list @t136 @t143 @t384 @t386))) % 33.87/34.13 (step @p793 :rule instantiate :premises (@p711) :args ((@list @t134 @t134 tptp.nil @t373))) % 33.87/34.13 (step @p794 :rule bool-double-not-elim :args (@t377)) % 33.87/34.13 (step @p795 :rule nary_cong :premises (@p611 @p794) :args ((or @t379 (not @t378)))) % 33.87/34.13 (step @p796 :rule cnf_or_neg :args (@t379 0)) % 33.87/34.13 (step @p797 :rule eq_resolve :premises (@p796 @p795)) % 33.87/34.13 (step @p798 :rule reordering :premises (@p797) :args ((or @t377 @t379))) % 33.87/34.13 (step @p799 :rule chain_m_resolution :premises (@p798 @p609) :args (@t377 @t334 @t381)) % 33.87/34.13 (step @p800 :rule cnf_or_pos :args (@t465)) % 33.87/34.13 (step @p801 :rule factoring :premises (@p800)) % 33.87/34.13 (step @p802 :rule reordering :premises (@p801) :args ((or @t165 @t145 @t459 @t378 @t464 (not @t465)))) % 33.87/34.13 (step @p803 :rule chain_m_resolution :premises (@p802 @p17 @p542 @p750 @p799 @p793) :args (@t464 @t461 (@list @t48 @t136 @t456 @t377 @t465))) % 33.87/34.13 (step @p804 :rule refl :args (@t466)) % 33.87/34.13 (step @p805 :rule refl :args (@t376)) % 33.87/34.13 (step @p806 :rule bool-double-not-elim :args (@t382)) % 33.87/34.13 (step @p807 :rule refl :args (@t463)) % 33.87/34.13 (step @p808 :rule nary_cong :premises (@p807 @p806 @p805 @p804) :args ((or @t463 (not @t383) @t376 @t466))) % 33.87/34.13 (assume-push @p886 @t464) % 33.87/34.13 (assume-push @p887 @t349) % 33.87/34.13 (assume-push @p888 @t375) % 33.87/34.13 (assume-push @p889 @t383) % 33.87/34.13 (step @p813 :rule evaluate :args ((= false true))) % 33.87/34.13 (step @p814 :rule true_intro :premises (@p886)) % 33.87/34.13 (step @p200 :rule refl :args (@t134)) % 33.87/34.13 (step @p815 :rule refl :args (@t373)) % 33.87/34.14 (step @p816 :rule cong :premises (@p887 @p815) :args (@t374)) % 33.87/34.14 (step @p817 :rule trans :premises (@p888 @p816)) % 33.87/34.14 (step @p818 :rule cong :premises (@p817 @p200) :args (@t382)) % 33.87/34.14 (step @p819 :rule false_intro :premises (@p889)) % 33.87/34.14 (step @p820 :rule symm :premises (@p819)) % 33.87/34.14 (step @p821 :rule trans :premises (@p820 @p818 @p814)) % 33.87/34.14 (step @p822 false :rule eq_resolve :premises (@p821 @p813)) % 33.87/34.14 (step-pop @p890 :rule scope :premises (@p822)) % 33.87/34.14 (step-pop @p891 :rule scope :premises (@p890)) % 33.87/34.14 (step-pop @p892 :rule scope :premises (@p891)) % 33.87/34.14 (step-pop @p893 :rule scope :premises (@p892)) % 33.87/34.14 (step @p823 :rule process_scope :premises (@p893) :args (false)) % 33.87/34.14 (assume-push @p894 @t349) % 33.87/34.14 (assume-push @p895 @t383) % 33.87/34.14 (assume-push @p896 @t375) % 33.87/34.14 (assume-push @p897 @t464) % 33.87/34.14 (step @p832 :rule and_intro :premises (@p897 @p894 @p896 @p895)) % 33.87/34.14 (step-pop @p898 :rule scope :premises (@p832)) % 33.87/34.14 (step-pop @p899 :rule scope :premises (@p898)) % 33.87/34.14 (step-pop @p900 :rule scope :premises (@p899)) % 33.87/34.14 (step-pop @p901 :rule scope :premises (@p900)) % 33.87/34.14 (step @p833 :rule process_scope :premises (@p901) :args (@t467)) % 33.87/34.14 (step @p838 :rule implies_elim :premises (@p833)) % 33.87/34.14 (step @p839 :rule resolution :premises (@p838 @p823) :args (true @t467)) % 33.87/34.14 (step @p840 :rule not_and :premises (@p839)) % 33.87/34.14 (step @p841 :rule eq_resolve :premises (@p840 @p808)) % 33.87/34.14 (step @p842 :rule reordering :premises (@p841) :args ((or @t382 @t463 @t376 @t466))) % 33.87/34.14 (step @p843 false :rule chain_m_resolution :premises (@p842 @p803 @p792 @p616 @p545) :args (false (@list false true false false) (@list @t464 @t382 @t375 @t349))) % 33.87/34.14 ) % 33.87/34.14 % SZS output end Proof % 33.87/34.14 % cvc5 exiting %------------------------------------------------------------------------------