%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC022+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 08:57:44 AM UTC 2026 % Result : Theorem 15.11s 15.35s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC022+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 19:10:11 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.11/15.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.11/15.35 % SZS status Theorem % 15.11/15.35 % SZS output start Proof % 15.11/15.35 ( % 15.11/15.35 (declare-sort $$unsorted 0) % 15.11/15.35 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.11/15.35 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.11/15.35 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.11/15.35 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.11/15.35 (declare-const tptp.nil $$unsorted) % 15.11/15.35 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.11/15.35 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.11/15.35 (define @t1 () (@var "V" $$unsorted)) % 15.11/15.35 (define @t2 () (@var "U" $$unsorted)) % 15.11/15.35 (define @t3 () (= @t2 @t1)) % 15.11/15.35 (define @t4 () (not @t3)) % 15.11/15.35 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 15.11/15.35 (define @t6 () (tptp.ssItem @t1)) % 15.11/15.35 (define @t7 () (@list @t1)) % 15.11/15.35 (define @t8 () (tptp.ssItem @t2)) % 15.11/15.35 (define @t9 () (@list @t2)) % 15.11/15.35 (define @t10 () (@var "X" $$unsorted)) % 15.11/15.35 (define @t11 () (tptp.cons @t1 @t10)) % 15.11/15.35 (define @t12 () (@var "W" $$unsorted)) % 15.11/15.35 (define @t13 () (tptp.ssList @t10)) % 15.11/15.35 (define @t14 () (@list @t10)) % 15.11/15.35 (define @t15 () (tptp.ssList @t12)) % 15.11/15.35 (define @t16 () (@list @t12)) % 15.11/15.35 (define @t17 () (tptp.ssList @t2)) % 15.11/15.35 (define @t18 () (tptp.cons @t1 tptp.nil)) % 15.11/15.35 (define @t19 () (tptp.app @t1 @t12)) % 15.11/15.35 (define @t20 () (and @t15 (= @t19 @t2))) % 15.11/15.35 (define @t21 () (exists @t16 @t20)) % 15.11/15.35 (define @t22 () (tptp.frontsegP @t2 @t1)) % 15.11/15.35 (define @t23 () (= @t22 @t21)) % 15.11/15.35 (define @t24 () (tptp.ssList @t1)) % 15.11/15.35 (define @t25 () (=> @t24 @t23)) % 15.11/15.35 (define @t26 () (forall @t7 @t25)) % 15.11/15.35 (define @t27 () (=> @t17 @t26)) % 15.11/15.35 (define @t28 () (forall @t9 @t27)) % 15.11/15.35 (define @t29 () (tptp.app @t12 @t1)) % 15.11/15.35 (define @t30 () (tptp.rearsegP @t2 @t1)) % 15.11/15.35 (define @t31 () (tptp.segmentP @t2 @t1)) % 15.11/15.35 (define @t32 () (tptp.leq @t12 @t1)) % 15.11/15.35 (define @t33 () (tptp.leq @t1 @t12)) % 15.11/15.35 (define @t34 () (@var "Z" $$unsorted)) % 15.11/15.35 (define @t35 () (@var "Y" $$unsorted)) % 15.11/15.35 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 15.11/15.35 (define @t37 () (tptp.ssList @t34)) % 15.11/15.35 (define @t38 () (@list @t34)) % 15.11/15.35 (define @t39 () (tptp.ssList @t35)) % 15.11/15.35 (define @t40 () (@list @t35)) % 15.11/15.35 (define @t41 () (tptp.ssItem @t12)) % 15.11/15.35 (define @t42 () (tptp.lt @t1 @t12)) % 15.11/15.35 (define @t43 () (= @t1 @t12)) % 15.11/15.35 (define @t44 () (forall @t7 (=> @t24 @t5))) % 15.11/15.35 (define @t45 () (=> @t17 @t44)) % 15.11/15.35 (define @t46 () (forall @t9 @t45)) % 15.11/15.35 (define @t47 () (tptp.cons @t1 @t2)) % 15.11/15.35 (define @t48 () (tptp.ssList @t47)) % 15.11/15.35 (define @t49 () (forall @t7 (=> @t6 @t48))) % 15.11/15.35 (define @t50 () (=> @t17 @t49)) % 15.11/15.35 (define @t51 () (forall @t9 @t50)) % 15.11/15.35 (define @t52 () (tptp.ssList tptp.nil)) % 15.11/15.35 (define @t53 () (not (= @t47 @t2))) % 15.11/15.35 (define @t54 () (=> @t6 @t53)) % 15.11/15.35 (define @t55 () (forall @t7 @t54)) % 15.11/15.35 (define @t56 () (=> @t17 @t55)) % 15.11/15.35 (define @t57 () (forall @t9 @t56)) % 15.11/15.35 (define @t58 () (= @t1 @t2)) % 15.11/15.35 (define @t59 () (tptp.cons @t12 @t1)) % 15.11/15.35 (define @t60 () (and @t41 (= @t59 @t2))) % 15.11/15.35 (define @t61 () (exists @t16 @t60)) % 15.11/15.35 (define @t62 () (and @t24 @t61)) % 15.11/15.35 (define @t63 () (exists @t7 @t62)) % 15.11/15.35 (define @t64 () (= tptp.nil @t2)) % 15.11/15.35 (define @t65 () (or @t64 @t63)) % 15.11/15.35 (define @t66 () (=> @t17 @t65)) % 15.11/15.35 (define @t67 () (forall @t9 @t66)) % 15.11/15.35 (define @t68 () (tptp.hd @t2)) % 15.11/15.35 (define @t69 () (tptp.ssItem @t68)) % 15.11/15.35 (define @t70 () (not @t64)) % 15.11/15.35 (define @t71 () (=> @t70 @t69)) % 15.11/15.35 (define @t72 () (=> @t17 @t71)) % 15.11/15.35 (define @t73 () (forall @t9 @t72)) % 15.11/15.35 (define @t74 () (tptp.hd @t47)) % 15.11/15.35 (define @t75 () (=> @t6 (= @t74 @t1))) % 15.11/15.35 (define @t76 () (forall @t7 @t75)) % 15.11/15.35 (define @t77 () (=> @t17 @t76)) % 15.11/15.35 (define @t78 () (forall @t9 @t77)) % 15.11/15.35 (define @t79 () (tptp.tl @t2)) % 15.11/15.35 (define @t80 () (tptp.app @t2 @t1)) % 15.11/15.35 (define @t81 () (tptp.app @t1 @t2)) % 15.11/15.35 (define @t82 () (tptp.app tptp.nil @t2)) % 15.11/15.35 (define @t83 () (=> @t17 (= @t82 @t2))) % 15.11/15.35 (define @t84 () (forall @t9 @t83)) % 15.11/15.35 (define @t85 () (tptp.leq @t1 @t2)) % 15.11/15.35 (define @t86 () (tptp.leq @t2 @t1)) % 15.11/15.35 (define @t87 () (tptp.geq @t2 @t1)) % 15.11/15.35 (define @t88 () (tptp.lt @t1 @t2)) % 15.11/15.35 (define @t89 () (tptp.lt @t2 @t1)) % 15.11/15.35 (define @t90 () (tptp.lt @t2 @t12)) % 15.11/15.35 (define @t91 () (tptp.gt @t2 @t1)) % 15.11/15.35 (define @t92 () (tptp.memberP @t12 @t2)) % 15.11/15.35 (define @t93 () (tptp.frontsegP @t2 @t2)) % 15.11/15.35 (define @t94 () (forall @t9 (=> @t17 @t93))) % 15.11/15.35 (define @t95 () (tptp.app @t12 @t2)) % 15.11/15.35 (define @t96 () (tptp.cons @t2 tptp.nil)) % 15.11/15.35 (define @t97 () (tptp.hd @t1)) % 15.11/15.35 (define @t98 () (= tptp.nil @t1)) % 15.11/15.35 (define @t99 () (not @t98)) % 15.11/15.35 (define @t100 () (tptp.cons @t2 @t1)) % 15.11/15.35 (define @t101 () (= @t12 @t2)) % 15.11/15.35 (define @t102 () (= @t47 (tptp.app @t18 @t2))) % 15.11/15.35 (define @t103 () (forall @t7 (=> @t6 @t102))) % 15.11/15.35 (define @t104 () (=> @t17 @t103)) % 15.11/15.35 (define @t105 () (forall @t9 @t104)) % 15.11/15.35 (define @t106 () (tptp.neq @t1 tptp.nil)) % 15.11/15.35 (define @t107 () (not @t106)) % 15.11/15.35 (define @t108 () (or @t107 (tptp.neq @t10 tptp.nil))) % 15.11/15.35 (define @t109 () (tptp.neq tptp.nil @t10)) % 15.11/15.35 (define @t110 () (@var "X1" $$unsorted)) % 15.11/15.35 (define @t111 () (tptp.hd @t10)) % 15.11/15.35 (define @t112 () (tptp.cons @t110 tptp.nil)) % 15.11/15.35 (define @t113 () (tptp.ssItem @t110)) % 15.11/15.35 (define @t114 () (and @t113 (= @t112 @t34) (= @t111 @t110) @t109)) % 15.11/15.35 (define @t115 () (@list @t110)) % 15.11/15.35 (define @t116 () (exists @t115 @t114)) % 15.11/15.35 (define @t117 () (= @t12 @t34)) % 15.11/15.35 (define @t118 () (not @t117)) % 15.11/15.35 (define @t119 () (and @t37 @t118 @t116)) % 15.11/15.35 (define @t120 () (exists @t38 @t119)) % 15.11/15.35 (define @t121 () (tptp.frontsegP @t2 @t35)) % 15.11/15.35 (define @t122 () (tptp.frontsegP @t1 @t35)) % 15.11/15.35 (define @t123 () (tptp.neq @t35 tptp.nil)) % 15.11/15.35 (define @t124 () (and @t39 @t123 @t122 @t121)) % 15.11/15.35 (define @t125 () (exists @t40 @t124)) % 15.11/15.35 (define @t126 () (or @t107 @t125 @t120)) % 15.11/15.35 (define @t127 () (and @t126 @t108)) % 15.11/15.35 (define @t128 () (not (= @t2 @t12))) % 15.11/15.35 (define @t129 () (not (= @t1 @t10))) % 15.11/15.35 (define @t130 () (or @t129 @t128 @t127)) % 15.11/15.35 (define @t131 () (=> @t13 @t130)) % 15.11/15.35 (define @t132 () (forall @t14 @t131)) % 15.11/15.35 (define @t133 () (=> @t15 @t132)) % 15.11/15.35 (define @t134 () (forall @t16 @t133)) % 15.11/15.35 (define @t135 () (=> @t24 @t134)) % 15.11/15.35 (define @t136 () (forall @t7 @t135)) % 15.11/15.35 (define @t137 () (=> @t17 @t136)) % 15.11/15.35 (define @t138 () (forall @t9 @t137)) % 15.11/15.35 (define @t139 () (not @t138)) % 15.11/15.35 (define @t140 () (= @t2 @t82)) % 15.11/15.35 (define @t141 () (tptp.app tptp.nil tptp.nil)) % 15.11/15.35 (define @t142 () (= tptp.nil @t141)) % 15.11/15.35 (define @t143 () (not @t52)) % 15.11/15.35 (define @t144 () (or @t143 @t142)) % 15.11/15.35 (define @t145 () (@list false false)) % 15.11/15.35 (define @t146 () (@var "BOUND_VARIABLE_9270" $$unsorted)) % 15.11/15.35 (define @t147 () (tptp.cons @t146 @t1)) % 15.11/15.35 (define @t148 () (not (= @t2 @t147))) % 15.11/15.35 (define @t149 () (not (tptp.ssItem @t146))) % 15.11/15.35 (define @t150 () (not @t24)) % 15.11/15.35 (define @t151 () (or @t150 @t149 @t148)) % 15.11/15.35 (define @t152 () (@list @t1 @t146)) % 15.11/15.35 (define @t153 () (not (forall @t152 @t151))) % 15.11/15.35 (define @t154 () (= @t2 tptp.nil)) % 15.11/15.35 (define @t155 () (not @t17)) % 15.11/15.35 (define @t156 () (or @t155 @t154 @t153)) % 15.11/15.35 (define @t157 () (or @t154 @t153)) % 15.11/15.35 (define @t158 () (or @t149 @t148)) % 15.11/15.35 (define @t159 () (or @t150 @t158)) % 15.11/15.35 (define @t160 () (forall @t152 @t159)) % 15.11/15.35 (define @t161 () (@list @t146)) % 15.11/15.35 (define @t162 () (forall @t161 @t159)) % 15.11/15.35 (define @t163 () (forall @t161 @t158)) % 15.11/15.35 (define @t164 () (or @t150 @t163)) % 15.11/15.35 (define @t165 () (= @t2 @t59)) % 15.11/15.35 (define @t166 () (forall @t16 (or (not @t41) (not @t165)))) % 15.11/15.35 (define @t167 () (not @t166)) % 15.11/15.35 (define @t168 () (and @t24 @t167)) % 15.11/15.35 (define @t169 () (forall @t7 (not @t168))) % 15.11/15.35 (define @t170 () (not @t169)) % 15.11/15.35 (define @t171 () (and @t41 @t165)) % 15.11/15.35 (define @t172 () (forall @t16 (not @t171))) % 15.11/15.35 (define @t173 () (not @t172)) % 15.11/15.35 (define @t174 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 15.11/15.35 (define @t175 () (tptp.hd @t174)) % 15.11/15.35 (define @t176 () (tptp.cons @t175 tptp.nil)) % 15.11/15.35 (define @t177 () (and (tptp.neq tptp.nil @t174) (tptp.ssItem @t175) (tptp.ssList @t176) (not (= @t2 @t176)))) % 15.11/15.35 (define @t178 () (not @t121)) % 15.11/15.35 (define @t179 () (not @t123)) % 15.11/15.35 (define @t180 () (not @t39)) % 15.11/15.35 (define @t181 () (not (forall @t40 (or @t180 @t179 (not (tptp.frontsegP @t174 @t35)) @t178)))) % 15.11/15.35 (define @t182 () (not (tptp.neq @t174 tptp.nil))) % 15.11/15.35 (define @t183 () (not (tptp.ssList @t174))) % 15.11/15.35 (define @t184 () (or @t155 @t183 @t182 @t181 @t177)) % 15.11/15.35 (define @t185 () (@list @t2 @t174)) % 15.11/15.35 (define @t186 () (forall @t185 @t184)) % 15.11/15.35 (define @t187 () (@quantifiers_skolemize @t186 1)) % 15.11/15.35 (define @t188 () (not (= @t187 @t147))) % 15.11/15.35 (define @t189 () (or @t150 @t149 @t188)) % 15.11/15.35 (define @t190 () (forall @t152 @t189)) % 15.11/15.35 (define @t191 () (not @t190)) % 15.11/15.35 (define @t192 () (tptp.ssList @t187)) % 15.11/15.35 (define @t193 () (not @t192)) % 15.11/15.35 (define @t194 () (= @t187 tptp.nil)) % 15.11/15.35 (define @t195 () (or @t193 @t194 @t191)) % 15.11/15.35 (define @t196 () (forall @t9 @t156)) % 15.11/15.35 (define @t197 () (@list @t187)) % 15.11/15.35 (define @t198 () (forall @t152 (or @t150 @t149 (not (= @t147 @t187))))) % 15.11/15.35 (define @t199 () (not @t198)) % 15.11/15.35 (define @t200 () (= tptp.nil @t187)) % 15.11/15.35 (define @t201 () (or @t193 @t200 @t199)) % 15.11/15.35 (define @t202 () (@list false)) % 15.11/15.35 (define @t203 () (@var "BOUND_VARIABLE_9112" $$unsorted)) % 15.11/15.35 (define @t204 () (= (tptp.neq @t2 @t203) (not (= @t2 @t203)))) % 15.11/15.35 (define @t205 () (not (tptp.ssList @t203))) % 15.11/15.35 (define @t206 () (or @t155 @t205 @t204)) % 15.11/15.35 (define @t207 () (or @t205 @t204)) % 15.11/15.35 (define @t208 () (or @t155 @t207)) % 15.11/15.35 (define @t209 () (@list @t2 @t203)) % 15.11/15.35 (define @t210 () (forall @t209 @t208)) % 15.11/15.35 (define @t211 () (@list @t203)) % 15.11/15.35 (define @t212 () (forall @t211 @t208)) % 15.11/15.35 (define @t213 () (forall @t211 @t207)) % 15.11/15.35 (define @t214 () (@list @t1)) % 15.11/15.35 (define @t215 () (or @t155 @t213)) % 15.11/15.35 (define @t216 () (forall @t7 (or @t150 @t5))) % 15.11/15.35 (define @t217 () (not @t194)) % 15.11/15.35 (define @t218 () (tptp.neq @t187 tptp.nil)) % 15.11/15.35 (define @t219 () (= @t218 @t217)) % 15.11/15.35 (define @t220 () (or @t193 @t143 @t219)) % 15.11/15.35 (define @t221 () (forall @t209 @t206)) % 15.11/15.35 (define @t222 () (not @t200)) % 15.11/15.35 (define @t223 () (= @t218 @t222)) % 15.11/15.35 (define @t224 () (or @t193 @t143 @t223)) % 15.11/15.35 (define @t225 () (@list @t221)) % 15.11/15.35 (define @t226 () (or @t183 @t182 @t181 @t177)) % 15.11/15.35 (define @t227 () (or @t155 @t226)) % 15.11/15.35 (define @t228 () (forall @t185 @t227)) % 15.11/15.35 (define @t229 () (@list @t174)) % 15.11/15.35 (define @t230 () (forall @t229 @t227)) % 15.11/15.35 (define @t231 () (forall @t229 @t226)) % 15.11/15.35 (define @t232 () (or @t155 @t231)) % 15.11/15.35 (define @t233 () (tptp.cons @t97 tptp.nil)) % 15.11/15.35 (define @t234 () (tptp.ssList @t233)) % 15.11/15.35 (define @t235 () (tptp.ssItem @t97)) % 15.11/15.35 (define @t236 () (tptp.neq tptp.nil @t1)) % 15.11/15.35 (define @t237 () (and @t236 @t235 @t234 (not (= @t2 @t233)))) % 15.11/15.35 (define @t238 () (not @t122)) % 15.11/15.35 (define @t239 () (or @t180 @t179 @t238 @t178)) % 15.11/15.35 (define @t240 () (not (forall @t40 @t239))) % 15.11/15.35 (define @t241 () (or @t150 @t107 @t240 @t237)) % 15.11/15.35 (define @t242 () (or @t155 (forall @t7 @t241))) % 15.11/15.35 (define @t243 () (or @t155 @t241)) % 15.11/15.35 (define @t244 () (or @t150 @t107 @t240 @t155 @t237)) % 15.11/15.35 (define @t245 () (or @t155 @t237)) % 15.11/15.35 (define @t246 () (not (= @t2 @t2))) % 15.11/15.35 (define @t247 () (or @t155 @t246 @t237)) % 15.11/15.35 (define @t248 () (and @t236 @t235 @t234 (not (= @t12 @t233)))) % 15.11/15.35 (define @t249 () (not @t15)) % 15.11/15.35 (define @t250 () (or @t128 @t249 @t128 @t248)) % 15.11/15.35 (define @t251 () (or @t249 @t128 @t248)) % 15.11/15.35 (define @t252 () (forall @t16 @t251)) % 15.11/15.35 (define @t253 () (or @t150 @t107 @t240 @t252)) % 15.11/15.35 (define @t254 () (or @t150 @t107 @t240 @t251)) % 15.11/15.35 (define @t255 () (or @t249 @t128 @t150 @t107 @t240 @t248)) % 15.11/15.35 (define @t256 () (or @t107 @t240 @t248)) % 15.11/15.35 (define @t257 () (and @t256 true)) % 15.11/15.35 (define @t258 () (or @t249 @t128 @t150 @t257)) % 15.11/15.35 (define @t259 () (and @t256 (or @t107 @t106))) % 15.11/15.35 (define @t260 () (or @t128 @t150 @t259)) % 15.11/15.35 (define @t261 () (or @t150 @t259)) % 15.11/15.35 (define @t262 () (not (= @t1 @t1))) % 15.11/15.35 (define @t263 () (or @t150 @t262 @t259)) % 15.11/15.35 (define @t264 () (tptp.cons @t111 tptp.nil)) % 15.11/15.35 (define @t265 () (= @t12 @t264)) % 15.11/15.35 (define @t266 () (not @t265)) % 15.11/15.35 (define @t267 () (tptp.ssList @t264)) % 15.11/15.35 (define @t268 () (tptp.ssItem @t111)) % 15.11/15.35 (define @t269 () (and (or @t107 @t240 (and @t109 @t268 @t267 @t266)) @t108)) % 15.11/15.35 (define @t270 () (not @t13)) % 15.11/15.35 (define @t271 () (or @t129 @t270 @t129 @t269)) % 15.11/15.35 (define @t272 () (or @t270 @t129 @t269)) % 15.11/15.35 (define @t273 () (forall @t14 @t272)) % 15.11/15.35 (define @t274 () (or @t128 @t273)) % 15.11/15.35 (define @t275 () (or @t128 @t272)) % 15.11/15.35 (define @t276 () (or @t270 @t129 @t128 @t269)) % 15.11/15.35 (define @t277 () (not @t267)) % 15.11/15.35 (define @t278 () (not @t277)) % 15.11/15.35 (define @t279 () (not @t268)) % 15.11/15.35 (define @t280 () (not @t279)) % 15.11/15.35 (define @t281 () (not @t109)) % 15.11/15.35 (define @t282 () (not @t281)) % 15.11/15.35 (define @t283 () (and @t282 @t280 @t278 @t266)) % 15.11/15.35 (define @t284 () (or @t277 @t265)) % 15.11/15.35 (define @t285 () (or @t281 @t279 @t277 @t265)) % 15.11/15.35 (define @t286 () (or @t107 @t240 (not @t285))) % 15.11/15.35 (define @t287 () (and @t286 @t108)) % 15.11/15.35 (define @t288 () (or @t129 @t128 @t287)) % 15.11/15.35 (define @t289 () (not (= @t264 @t264))) % 15.11/15.35 (define @t290 () (or @t277 @t265 @t289)) % 15.11/15.35 (define @t291 () (not (= @t34 @t264))) % 15.11/15.35 (define @t292 () (not @t37)) % 15.11/15.35 (define @t293 () (or @t291 @t292 @t117 @t291)) % 15.11/15.35 (define @t294 () (or @t292 @t117 @t291)) % 15.11/15.35 (define @t295 () (forall @t38 @t294)) % 15.11/15.35 (define @t296 () (or @t281 @t279 @t295)) % 15.11/15.35 (define @t297 () (or @t281 @t279 @t294)) % 15.11/15.35 (define @t298 () (or @t292 @t117 @t281 @t279 @t291)) % 15.11/15.35 (define @t299 () (or @t281 @t279 @t291)) % 15.11/15.35 (define @t300 () (not @t299)) % 15.11/15.35 (define @t301 () (not @t300)) % 15.11/15.35 (define @t302 () (not @t118)) % 15.11/15.35 (define @t303 () (or @t292 @t302 @t301)) % 15.11/15.35 (define @t304 () (and @t37 @t118 @t300)) % 15.11/15.35 (define @t305 () (forall @t38 (not @t304))) % 15.11/15.35 (define @t306 () (not @t305)) % 15.11/15.35 (define @t307 () (or @t279 @t291)) % 15.11/15.35 (define @t308 () (not (= @t111 @t111))) % 15.11/15.35 (define @t309 () (or @t279 @t291 @t308)) % 15.11/15.35 (define @t310 () (= @t110 @t111)) % 15.11/15.35 (define @t311 () (not @t310)) % 15.11/15.35 (define @t312 () (= @t34 @t112)) % 15.11/15.35 (define @t313 () (not @t312)) % 15.11/15.35 (define @t314 () (not @t113)) % 15.11/15.35 (define @t315 () (or @t311 @t314 @t313 @t311)) % 15.11/15.35 (define @t316 () (or @t314 @t313 @t311)) % 15.11/15.35 (define @t317 () (forall @t115 @t316)) % 15.11/15.35 (define @t318 () (or @t281 @t317)) % 15.11/15.35 (define @t319 () (or @t281 @t316)) % 15.11/15.35 (define @t320 () (or @t314 @t313 @t311 @t281)) % 15.11/15.35 (define @t321 () (and @t113 @t312 @t310 @t109)) % 15.11/15.35 (define @t322 () (forall @t115 (not @t321))) % 15.11/15.35 (define @t323 () (not @t322)) % 15.11/15.35 (define @t324 () (forall @t40 (not @t124))) % 15.11/15.35 (define @t325 () (not @t324)) % 15.11/15.35 (define @t326 () (tptp.hd @t187)) % 15.11/15.35 (define @t327 () (tptp.cons @t326 tptp.nil)) % 15.11/15.35 (define @t328 () (@quantifiers_skolemize @t186 0)) % 15.11/15.35 (define @t329 () (= @t328 @t327)) % 15.11/15.35 (define @t330 () (not @t329)) % 15.11/15.35 (define @t331 () (tptp.ssList @t327)) % 15.11/15.35 (define @t332 () (tptp.ssItem @t326)) % 15.11/15.35 (define @t333 () (tptp.neq tptp.nil @t187)) % 15.11/15.35 (define @t334 () (and @t333 @t332 @t331 @t330)) % 15.11/15.35 (define @t335 () (forall @t40 (or @t180 @t179 (not (tptp.frontsegP @t187 @t35)) (not (tptp.frontsegP @t328 @t35))))) % 15.11/15.35 (define @t336 () (not @t335)) % 15.11/15.35 (define @t337 () (not @t218)) % 15.11/15.35 (define @t338 () (tptp.ssList @t328)) % 15.11/15.35 (define @t339 () (not @t338)) % 15.11/15.35 (define @t340 () (or @t339 @t193 @t337 @t336 @t334)) % 15.11/15.35 (define @t341 () (@list true)) % 15.11/15.35 (define @t342 () (@list @t340)) % 15.11/15.35 (define @t343 () (@list false false false)) % 15.11/15.35 (define @t344 () (@list false true false)) % 15.11/15.35 (define @t345 () (@quantifiers_skolemize @t198 0)) % 15.11/15.35 (define @t346 () (@quantifiers_skolemize @t198 1)) % 15.11/15.35 (define @t347 () (tptp.cons @t346 @t345)) % 15.11/15.35 (define @t348 () (= @t187 @t347)) % 15.11/15.35 (define @t349 () (not @t348)) % 15.11/15.35 (define @t350 () (tptp.ssItem @t346)) % 15.11/15.35 (define @t351 () (not @t350)) % 15.11/15.35 (define @t352 () (tptp.ssList @t345)) % 15.11/15.35 (define @t353 () (not @t352)) % 15.11/15.35 (define @t354 () (or @t353 @t351 @t349)) % 15.11/15.35 (define @t355 () (not @t354)) % 15.11/15.35 (define @t356 () (not (= @t347 @t187))) % 15.11/15.35 (define @t357 () (or @t353 @t351 @t356)) % 15.11/15.35 (define @t358 () (not @t357)) % 15.11/15.35 (define @t359 () (@list @t354)) % 15.11/15.35 (define @t360 () (@var "BOUND_VARIABLE_9327" $$unsorted)) % 15.11/15.35 (define @t361 () (= @t360 (tptp.hd (tptp.cons @t360 @t2)))) % 15.11/15.35 (define @t362 () (not (tptp.ssItem @t360))) % 15.11/15.35 (define @t363 () (or @t362 @t361)) % 15.11/15.35 (define @t364 () (or @t155 @t363)) % 15.11/15.35 (define @t365 () (forall (@list @t2 @t360) @t364)) % 15.11/15.35 (define @t366 () (@list @t360)) % 15.11/15.35 (define @t367 () (forall @t366 @t364)) % 15.11/15.35 (define @t368 () (forall @t366 @t363)) % 15.11/15.35 (define @t369 () (or @t155 @t368)) % 15.11/15.35 (define @t370 () (= @t1 @t74)) % 15.11/15.35 (define @t371 () (not @t6)) % 15.11/15.35 (define @t372 () (forall @t7 (or @t371 @t370))) % 15.11/15.35 (define @t373 () (@list @t345 @t346)) % 15.11/15.35 (define @t374 () (tptp.hd @t347)) % 15.11/15.35 (define @t375 () (= @t346 @t374)) % 15.11/15.35 (define @t376 () (or @t353 @t351 @t375)) % 15.11/15.35 (define @t377 () (@var "BOUND_VARIABLE_10536" $$unsorted)) % 15.11/15.35 (define @t378 () (= (tptp.cons @t377 @t2) (tptp.app (tptp.cons @t377 tptp.nil) @t2))) % 15.11/15.35 (define @t379 () (not (tptp.ssItem @t377))) % 15.11/15.35 (define @t380 () (or @t379 @t378)) % 15.11/15.35 (define @t381 () (or @t155 @t380)) % 15.11/15.35 (define @t382 () (forall (@list @t2 @t377) @t381)) % 15.11/15.35 (define @t383 () (@list @t377)) % 15.11/15.35 (define @t384 () (forall @t383 @t381)) % 15.11/15.35 (define @t385 () (forall @t383 @t380)) % 15.11/15.35 (define @t386 () (or @t155 @t385)) % 15.11/15.35 (define @t387 () (forall @t7 (or @t371 @t102))) % 15.11/15.35 (define @t388 () (tptp.cons @t346 tptp.nil)) % 15.11/15.35 (define @t389 () (tptp.app @t388 @t345)) % 15.11/15.35 (define @t390 () (= @t347 @t389)) % 15.11/15.35 (define @t391 () (or @t353 @t351 @t390)) % 15.11/15.35 (define @t392 () (@list @t352 @t350 @t391)) % 15.11/15.35 (define @t393 () (@var "BOUND_VARIABLE_9133" $$unsorted)) % 15.11/15.35 (define @t394 () (tptp.ssList (tptp.cons @t393 @t2))) % 15.11/15.35 (define @t395 () (not (tptp.ssItem @t393))) % 15.11/15.35 (define @t396 () (or @t395 @t394)) % 15.11/15.35 (define @t397 () (or @t155 @t396)) % 15.11/15.35 (define @t398 () (forall (@list @t2 @t393) @t397)) % 15.11/15.35 (define @t399 () (@list @t393)) % 15.11/15.35 (define @t400 () (forall @t399 @t397)) % 15.11/15.35 (define @t401 () (forall @t399 @t396)) % 15.11/15.35 (define @t402 () (or @t155 @t401)) % 15.11/15.35 (define @t403 () (forall @t7 (or @t371 @t48))) % 15.11/15.35 (define @t404 () (@list tptp.nil @t326)) % 15.11/15.35 (define @t405 () (or @t155 @t154 @t69)) % 15.11/15.35 (define @t406 () (not @t154)) % 15.11/15.35 (define @t407 () (=> @t406 @t69)) % 15.11/15.35 (define @t408 () (or @t193 @t194 @t332)) % 15.11/15.35 (define @t409 () (forall @t9 @t405)) % 15.11/15.35 (define @t410 () (or @t193 @t200 @t332)) % 15.11/15.35 (define @t411 () (not @t332)) % 15.11/15.35 (define @t412 () (or @t143 @t411 @t331)) % 15.11/15.35 (define @t413 () (= @t333 @t222)) % 15.11/15.35 (define @t414 () (or @t143 @t193 @t413)) % 15.11/15.35 (define @t415 () (not @t413)) % 15.11/15.35 (define @t416 () (@list true false)) % 15.11/15.35 (define @t417 () (not @t331)) % 15.11/15.35 (define @t418 () (not @t333)) % 15.11/15.35 (define @t419 () (@var "BOUND_VARIABLE_8320" $$unsorted)) % 15.11/15.35 (define @t420 () (= (tptp.frontsegP @t2 @t419) (not (forall @t16 (or @t249 (not (= @t2 (tptp.app @t419 @t12)))))))) % 15.11/15.35 (define @t421 () (not (tptp.ssList @t419))) % 15.11/15.35 (define @t422 () (or @t421 @t420)) % 15.11/15.35 (define @t423 () (or @t155 @t422)) % 15.11/15.35 (define @t424 () (forall (@list @t2 @t419) @t423)) % 15.11/15.35 (define @t425 () (@list @t419)) % 15.11/15.35 (define @t426 () (forall @t425 @t423)) % 15.11/15.35 (define @t427 () (forall @t425 @t422)) % 15.11/15.35 (define @t428 () (or @t155 @t427)) % 15.11/15.35 (define @t429 () (= @t2 @t19)) % 15.11/15.35 (define @t430 () (= @t22 (not (forall @t16 (or @t249 (not @t429)))))) % 15.11/15.35 (define @t431 () (forall @t7 (or @t150 @t430))) % 15.11/15.35 (define @t432 () (and @t15 @t429)) % 15.11/15.35 (define @t433 () (forall @t16 (not @t432))) % 15.11/15.35 (define @t434 () (not @t433)) % 15.11/15.35 (define @t435 () (forall @t16 (or @t249 (not (= @t187 (tptp.app @t328 @t12)))))) % 15.11/15.35 (define @t436 () (not @t435)) % 15.11/15.35 (define @t437 () (tptp.frontsegP @t187 @t328)) % 15.11/15.35 (define @t438 () (= @t437 @t436)) % 15.11/15.35 (define @t439 () (or @t193 @t339 @t438)) % 15.11/15.35 (define @t440 () (@list @t328)) % 15.11/15.35 (define @t441 () (not (= @t328 tptp.nil))) % 15.11/15.35 (define @t442 () (tptp.neq @t328 tptp.nil)) % 15.11/15.35 (define @t443 () (= @t442 @t441)) % 15.11/15.35 (define @t444 () (or @t339 @t143 @t443)) % 15.11/15.35 (define @t445 () (= tptp.nil @t328)) % 15.11/15.35 (define @t446 () (not @t445)) % 15.11/15.35 (define @t447 () (= @t442 @t446)) % 15.11/15.35 (define @t448 () (or @t339 @t143 @t447)) % 15.11/15.35 (define @t449 () (@var "BOUND_VARIABLE_9156" $$unsorted)) % 15.11/15.35 (define @t450 () (not (= @t2 (tptp.cons @t449 @t2)))) % 15.11/15.35 (define @t451 () (not (tptp.ssItem @t449))) % 15.11/15.35 (define @t452 () (or @t451 @t450)) % 15.11/15.35 (define @t453 () (or @t155 @t452)) % 15.11/15.35 (define @t454 () (forall (@list @t2 @t449) @t453)) % 15.11/15.35 (define @t455 () (@list @t449)) % 15.11/15.35 (define @t456 () (forall @t455 @t453)) % 15.11/15.35 (define @t457 () (forall @t455 @t452)) % 15.11/15.35 (define @t458 () (or @t155 @t457)) % 15.11/15.35 (define @t459 () (not (= @t2 @t47))) % 15.11/15.35 (define @t460 () (forall @t7 (or @t371 @t459))) % 15.11/15.35 (define @t461 () (not (= tptp.nil @t327))) % 15.11/15.35 (define @t462 () (or @t143 @t411 @t461)) % 15.11/15.35 (define @t463 () (not @t447)) % 15.11/15.35 (define @t464 () (tptp.frontsegP @t328 @t328)) % 15.11/15.35 (define @t465 () (or @t339 @t464)) % 15.11/15.35 (define @t466 () (not @t464)) % 15.11/15.35 (define @t467 () (not @t437)) % 15.11/15.35 (define @t468 () (not @t442)) % 15.11/15.35 (define @t469 () (or @t339 @t468 @t467 @t466)) % 15.11/15.35 (define @t470 () (not @t438)) % 15.11/15.35 (define @t471 () (= @t187 (tptp.app @t328 @t345))) % 15.11/15.35 (define @t472 () (not @t471)) % 15.11/15.35 (define @t473 () (or @t353 @t472)) % 15.11/15.35 (define @t474 () (not @t390)) % 15.11/15.35 (define @t475 () (not @t375)) % 15.11/15.35 (define @t476 () (not @t142)) % 15.11/15.35 (define @t477 () (tptp.cons @t326 @t141)) % 15.11/15.35 (define @t478 () (and @t471 @t472)) % 15.11/15.35 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.11/15.35 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.11/15.35 (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))))))))))) % 15.11/15.35 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.11/15.35 (assume @p5 @t28) % 15.11/15.35 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 15.11/15.35 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 15.11/15.35 (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))))))))))))))))) % 15.11/15.35 (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)))))))))))))))) % 15.11/15.35 (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))))))))))))))))) % 15.11/15.35 (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))))))))))))))) % 15.11/15.35 (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))))))))))))))) % 15.11/15.35 (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)))))))))))))))) % 15.11/15.35 (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))))))))))))) % 15.11/15.35 (assume @p15 @t46) % 15.11/15.35 (assume @p16 @t51) % 15.11/15.35 (assume @p17 @t52) % 15.11/15.35 (assume @p18 @t57) % 15.11/15.35 (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) @t58))))))))))) % 15.11/15.35 (assume @p20 @t67) % 15.11/15.35 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 15.11/15.35 (assume @p22 @t73) % 15.11/15.35 (assume @p23 @t78) % 15.11/15.35 (assume @p24 (forall @t9 (=> @t17 (=> @t70 (tptp.ssList @t79))))) % 15.11/15.35 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 15.11/15.35 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t80)))))) % 15.11/15.35 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t81) (tptp.app @t59 @t2))))))))) % 15.11/15.35 (assume @p28 @t84) % 15.11/15.35 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t86 @t85) @t3)))))) % 15.11/15.35 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t86 @t33) (tptp.leq @t2 @t12))))))))) % 15.11/15.35 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.11/15.35 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t87 @t85)))))) % 15.11/15.35 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t89 (not @t88))))))) % 15.11/15.35 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t89 @t42) @t90)))))))) % 15.11/15.35 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t91 @t88)))))) % 15.11/15.35 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t92))))))))) % 15.11/15.35 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t92))))))))) % 15.11/15.35 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.11/15.35 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.11/15.35 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.11/15.35 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.11/15.35 (assume @p42 @t94) % 15.11/15.35 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.11/15.35 (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)))))))))))) % 15.11/15.35 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.11/15.35 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 15.11/15.35 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.11/15.35 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.11/15.35 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.11/15.35 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t95 @t1))))))))) % 15.11/15.35 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.11/15.35 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 15.11/15.35 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.11/15.35 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.11/15.35 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 15.11/15.35 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t95 @t10) @t1))))))))))) % 15.11/15.35 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.11/15.35 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 15.11/15.35 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t96)))) % 15.11/15.35 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.11/15.35 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t96)))) % 15.11/15.35 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.11/15.35 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t96)))) % 15.11/15.35 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.11/15.35 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t96)))) % 15.11/15.35 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.11/15.35 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t100) (or @t98 (and @t99 (tptp.totalorderedP @t1) (tptp.leq @t2 @t97))))))))) % 15.11/15.35 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t96)))) % 15.11/15.35 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.11/15.35 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t100) (or @t98 (and @t99 (tptp.strictorderedP @t1) (tptp.lt @t2 @t97))))))))) % 15.11/15.35 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t96)))) % 15.11/15.35 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.11/15.35 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t96)))) % 15.11/15.35 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.11/15.35 (assume @p75 (forall @t9 (=> @t17 (=> @t70 (exists @t7 (and @t6 (= @t68 @t1))))))) % 15.11/15.35 (assume @p76 (forall @t9 (=> @t17 (=> @t70 (exists @t7 (and @t24 (= @t79 @t1))))))) % 15.11/15.35 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t99 @t70 (= @t97 @t68) (= (tptp.tl @t1) @t79)) @t58)))))) % 15.11/15.35 (assume @p78 (forall @t9 (=> @t17 (=> @t70 (= (tptp.cons @t68 @t79) @t2))))) % 15.11/15.35 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t80) @t101)))))))) % 15.11/15.35 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t81) @t101)))))))) % 15.11/15.35 (assume @p81 @t105) % 15.11/15.35 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t80 @t12) (tptp.app @t2 @t19))))))))) % 15.11/15.35 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t80) (and @t98 @t64))))))) % 15.11/15.35 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.11/15.35 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t70 (= (tptp.hd @t80) @t68))))))) % 15.11/15.35 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t70 (= (tptp.tl @t80) (tptp.app @t79 @t1)))))))) % 15.11/15.35 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t87 (tptp.geq @t1 @t2)) @t3)))))) % 15.11/15.35 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t87 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.11/15.35 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.11/15.35 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.11/15.35 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t86 @t42) @t90)))))))) % 15.11/15.35 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (or @t3 @t89))))))) % 15.11/15.35 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t89 (and @t4 @t86))))))) % 15.11/15.35 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t91 (not (tptp.gt @t1 @t2)))))))) % 15.11/15.35 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t91 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.11/15.35 (assume @p96 @t139) % 15.11/15.35 (assume @p97 true) % 15.11/15.35 (step @p98 :rule bool-impl-elim :args (@t17 @t140)) % 15.11/15.35 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t140)))) % 15.11/15.35 (step @p100 :rule eq-symm :args (@t82 @t2)) % 15.11/15.35 (step @p101 :rule refl :args (@t17)) % 15.11/15.35 (step @p102 :rule cong :premises (@p101 @p100) :args (@t83)) % 15.11/15.35 (step @p103 :rule cong :premises (@p102) :args (@t84)) % 15.11/15.35 (step @p104 :rule trans :premises (@p103 @p99)) % 15.11/15.35 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 15.11/15.35 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.nil))) % 15.11/15.35 (step @p107 :rule cnf_or_pos :args (@t144)) % 15.11/15.35 (step @p108 :rule reordering :premises (@p107) :args ((or @t143 @t142 (not @t144)))) % 15.11/15.35 (step @p109 :rule chain_m_resolution :premises (@p108 @p17 @p106) :args (@t142 @t145 (@list @t52 @t144))) % 15.11/15.35 (step @p110 :rule aci_norm :args ((= (or @t155 @t157) @t156))) % 15.11/15.35 (step @p111 :rule bool-impl-elim :args (@t17 @t157)) % 15.11/15.35 (step @p112 :rule trans :premises (@p111 @p110)) % 15.11/15.35 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t157)))) % 15.11/15.35 (step @p114 :rule aci_norm :args ((= @t159 @t151))) % 15.11/15.35 (step @p115 :rule cong :premises (@p114) :args (@t160)) % 15.11/15.35 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t162) @t160))) % 15.11/15.35 (step @p117 :rule alpha_equiv :args (@t163 (@list @t146) (@list @t12))) % 15.11/15.35 (step @p118 :rule refl :args (@t150)) % 15.11/15.35 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t164)) % 15.11/15.35 (step @p120 :rule quant-miniscope-or :args ((= @t162 @t164))) % 15.11/15.35 (step @p121 :rule trans :premises (@p120 @p119)) % 15.11/15.35 (step @p122 :rule symm :premises (@p121)) % 15.11/15.35 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (or @t150 @t166)))) % 15.11/15.35 (step @p124 :rule trans :premises (@p123 @p116)) % 15.11/15.35 (step @p125 :rule trans :premises (@p124 @p115)) % 15.11/15.35 (step @p126 :rule bool-double-not-elim :args (@t166)) % 15.11/15.35 (step @p127 :rule nary_cong :premises (@p118 @p126) :args ((or @t150 (not @t167)))) % 15.11/15.35 (step @p128 :rule bool-and-de-morgan :args (@t24 @t167 true)) % 15.11/15.35 (step @p129 :rule trans :premises (@p128 @p127)) % 15.11/15.35 (step @p130 :rule cong :premises (@p129) :args (@t169)) % 15.11/15.35 (step @p131 :rule trans :premises (@p130 @p125)) % 15.11/15.35 (step @p132 :rule cong :premises (@p131) :args (@t170)) % 15.11/15.35 (step @p133 :rule exists-elim :args ((= (exists @t7 @t168) @t170))) % 15.11/15.35 (step @p134 :rule trans :premises (@p133 @p132)) % 15.11/15.35 (step @p135 :rule bool-and-de-morgan :args (@t41 @t165 true)) % 15.11/15.35 (step @p136 :rule cong :premises (@p135) :args (@t172)) % 15.11/15.35 (step @p137 :rule cong :premises (@p136) :args (@t173)) % 15.11/15.35 (step @p138 :rule exists-elim :args ((= (exists @t16 @t171) @t173))) % 15.11/15.35 (step @p139 :rule trans :premises (@p138 @p137)) % 15.11/15.35 (step @p140 :rule eq-symm :args (@t59 @t2)) % 15.11/15.35 (step @p141 :rule refl :args (@t41)) % 15.11/15.35 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t60)) % 15.11/15.35 (step @p143 :rule cong :premises (@p142) :args (@t61)) % 15.11/15.35 (step @p144 :rule trans :premises (@p143 @p139)) % 15.11/15.35 (step @p145 :rule refl :args (@t24)) % 15.11/15.35 (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t62)) % 15.11/15.35 (step @p147 :rule cong :premises (@p146) :args (@t63)) % 15.11/15.35 (step @p148 :rule trans :premises (@p147 @p134)) % 15.11/15.35 (step @p149 :rule eq-symm :args (tptp.nil @t2)) % 15.11/15.35 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t65)) % 15.11/15.35 (step @p151 :rule cong :premises (@p101 @p150) :args (@t66)) % 15.11/15.35 (step @p152 :rule cong :premises (@p151) :args (@t67)) % 15.11/15.35 (step @p153 :rule trans :premises (@p152 @p113)) % 15.11/15.35 (step @p154 :rule eq_resolve :premises (@p20 @p153)) % 15.11/15.35 (step @p155 :rule eq-symm :args (@t187 @t147)) % 15.11/15.35 (step @p156 :rule cong :premises (@p155) :args (@t188)) % 15.11/15.35 (step @p157 :rule refl :args (@t149)) % 15.11/15.35 (step @p158 :rule refl :args (@t150)) % 15.11/15.35 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t189)) % 15.11/15.35 (step @p160 :rule cong :premises (@p159) :args (@t190)) % 15.11/15.35 (step @p161 :rule cong :premises (@p160) :args (@t191)) % 15.11/15.35 (step @p162 :rule eq-symm :args (@t187 tptp.nil)) % 15.11/15.35 (step @p163 :rule refl :args (@t193)) % 15.11/15.35 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t195)) % 15.11/15.35 (step @p165 :rule refl :args (@t196)) % 15.11/15.35 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t196 @t195))) % 15.11/15.35 (assume-push @p843 @t196) % 15.11/15.35 (step @p168 :rule instantiate :premises (@p154) :args (@t197)) % 15.11/15.35 (step-pop @p844 :rule scope :premises (@p168)) % 15.11/15.35 (step @p169 :rule process_scope :premises (@p844) :args (@t195)) % 15.11/15.35 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 15.11/15.35 (step @p172 :rule implies_elim :premises (@p171)) % 15.11/15.35 (step @p173 :rule chain_m_resolution :premises (@p172 @p154) :args (@t201 @t202 (@list @t196))) % 15.11/15.35 (step @p174 :rule aci_norm :args ((= @t208 @t206))) % 15.11/15.35 (step @p175 :rule cong :premises (@p174) :args (@t210)) % 15.11/15.35 (step @p176 :rule quant-merge-prenex :args ((= (forall @t9 @t212) @t210))) % 15.11/15.35 (step @p177 :rule alpha_equiv :args (@t213 (@list @t203) @t214)) % 15.11/15.35 (step @p178 :rule refl :args (@t155)) % 15.11/15.35 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t215)) % 15.11/15.35 (step @p180 :rule quant-miniscope-or :args ((= @t212 @t215))) % 15.11/15.35 (step @p181 :rule trans :premises (@p180 @p179)) % 15.11/15.35 (step @p182 :rule symm :premises (@p181)) % 15.11/15.35 (step @p183 :rule cong :premises (@p182) :args ((forall @t9 (or @t155 @t216)))) % 15.11/15.35 (step @p184 :rule trans :premises (@p183 @p176)) % 15.11/15.35 (step @p185 :rule trans :premises (@p184 @p175)) % 15.11/15.35 (step @p186 :rule bool-impl-elim :args (@t17 @t216)) % 15.11/15.35 (step @p187 :rule cong :premises (@p186) :args ((forall @t9 (=> @t17 @t216)))) % 15.11/15.35 (step @p188 :rule trans :premises (@p187 @p185)) % 15.11/15.35 (step @p189 :rule bool-impl-elim :args (@t24 @t5)) % 15.11/15.35 (step @p190 :rule cong :premises (@p189) :args (@t44)) % 15.11/15.35 (step @p191 :rule cong :premises (@p101 @p190) :args (@t45)) % 15.11/15.35 (step @p192 :rule cong :premises (@p191) :args (@t46)) % 15.11/15.35 (step @p193 :rule trans :premises (@p192 @p188)) % 15.11/15.35 (step @p194 :rule eq_resolve :premises (@p15 @p193)) % 15.11/15.35 (step @p195 :rule cong :premises (@p162) :args (@t217)) % 15.11/15.35 (step @p196 :rule refl :args (@t218)) % 15.11/15.35 (step @p197 :rule cong :premises (@p196 @p195) :args (@t219)) % 15.11/15.35 (step @p198 :rule refl :args (@t143)) % 15.11/15.35 (step @p199 :rule nary_cong :premises (@p163 @p198 @p197) :args (@t220)) % 15.11/15.35 (step @p200 :rule refl :args (@t221)) % 15.11/15.35 (step @p201 :rule cong :premises (@p200 @p199) :args ((=> @t221 @t220))) % 15.11/15.35 (assume-push @p845 @t221) % 15.11/15.35 (step @p203 :rule instantiate :premises (@p194) :args ((@list @t187 tptp.nil))) % 15.11/15.35 (step-pop @p846 :rule scope :premises (@p203)) % 15.11/15.35 (step @p204 :rule process_scope :premises (@p846) :args (@t220)) % 15.11/15.35 (step @p206 :rule eq_resolve 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(step @p305 :rule trans :premises (@p304 @p284)) % 15.11/15.35 (step @p306 :rule quant-miniscope-or :args ((= (forall @t14 @t275) @t274))) % 15.11/15.35 (step @p307 :rule aci_norm :args ((= @t276 @t275))) % 15.11/15.35 (step @p308 :rule cong :premises (@p307) :args ((forall @t14 @t276))) % 15.11/15.35 (step @p309 :rule trans :premises (@p308 @p306)) % 15.11/15.35 (step @p310 :rule trans :premises (@p309 @p305)) % 15.11/15.35 (step @p311 :rule aci_norm :args ((= (or @t270 (or @t129 @t128 @t269)) @t276))) % 15.11/15.35 (step @p312 :rule refl :args (@t108)) % 15.11/15.35 (step @p313 :rule refl :args (@t266)) % 15.11/15.35 (step @p314 :rule bool-double-not-elim :args (@t267)) % 15.11/15.35 (step @p315 :rule bool-double-not-elim :args (@t268)) % 15.11/15.35 (step @p316 :rule bool-double-not-elim :args (@t109)) % 15.11/15.35 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314 @p313) :args (@t283)) % 15.11/15.35 (step @p318 :rule aci_norm :args ((= (and @t282 (and @t280 (and @t278 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:rule bool-and-de-morgan :args (@t37 @t118 (and @t300))) % 15.11/15.35 (step @p375 :rule trans :premises (@p374 @p373)) % 15.11/15.35 (step @p376 :rule trans :premises (@p375 @p371)) % 15.11/15.35 (step @p377 :rule trans :premises (@p376 @p365)) % 15.11/15.35 (step @p378 :rule cong :premises (@p377) :args (@t305)) % 15.11/15.35 (step @p379 :rule trans :premises (@p378 @p364)) % 15.11/15.35 (step @p380 :rule cong :premises (@p379) :args (@t306)) % 15.11/15.35 (step @p381 :rule exists-elim :args ((= (exists @t38 @t304) @t306))) % 15.11/15.35 (step @p382 :rule trans :premises (@p381 @p380)) % 15.11/15.35 (step @p383 :rule aci_norm :args ((= (or @t281 @t307) @t299))) % 15.11/15.35 (step @p384 :rule aci_norm :args ((= (or @t279 @t291 false) @t307))) % 15.11/15.35 (step @p385 :rule eq-refl :args (@t111)) % 15.11/15.35 (step @p386 :rule cong :premises (@p385) :args (@t308)) % 15.11/15.35 (step @p387 :rule trans :premises (@p386 @p237)) % 15.11/15.35 (step @p388 :rule refl :args (@t291)) % 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(@p630) :args ((or @t193 @t332 @t200 (not @t410)))) % 15.11/15.35 (step @p632 :rule chain_m_resolution :premises (@p631 @p473 @p485 @p629) :args (@t332 @t344 (@list @t192 @t200 @t410))) % 15.11/15.35 (step @p633 :rule cnf_or_pos :args (@t412)) % 15.11/15.35 (step @p634 :rule reordering :premises (@p633) :args ((or @t143 @t331 @t411 (not @t412)))) % 15.11/15.35 (step @p635 :rule chain_m_resolution :premises (@p634 @p17 @p632 @p600) :args (@t331 @t343 (@list @t52 @t332 @t412))) % 15.11/15.35 (step @p636 :rule instantiate :premises (@p194) :args ((@list tptp.nil @t187))) % 15.11/15.35 (step @p637 :rule cnf_or_pos :args (@t414)) % 15.11/15.35 (step @p638 :rule reordering :premises (@p637) :args ((or @t143 @t193 @t413 (not @t414)))) % 15.11/15.35 (step @p639 :rule chain_m_resolution :premises (@p638 @p17 @p473 @p636) :args (@t413 @t343 (@list @t52 @t192 @t414))) % 15.11/15.35 (step @p640 :rule bool-double-not-elim :args (@t200)) % 15.11/15.35 (step @p641 :rule refl :args (@t333)) % 15.11/15.35 (step @p642 :rule refl :args (@t415)) % 15.11/15.35 (step @p643 :rule nary_cong :premises (@p642 @p641 @p640) :args ((or @t415 @t333 (not @t222)))) % 15.11/15.35 (step @p644 :rule cnf_equiv_pos2 :args (@t413)) % 15.11/15.35 (step @p645 :rule eq_resolve :premises (@p644 @p643)) % 15.11/15.35 (step @p646 :rule reordering :premises (@p645) :args ((or @t333 @t200 @t415))) % 15.11/15.35 (step @p647 :rule chain_m_resolution :premises (@p646 @p485 @p639) :args (@t333 @t416 (@list @t200 @t413))) % 15.11/15.35 (step @p648 :rule cnf_or_neg :args (@t340 4)) % 15.11/15.35 (step @p649 :rule chain_m_resolution :premises (@p648 @p466) :args ((not @t334) @t341 @t342)) % 15.11/15.35 (step @p650 :rule bool-double-not-elim :args (@t329)) % 15.11/15.35 (step @p651 :rule refl :args (@t417)) % 15.11/15.35 (step @p652 :rule refl :args (@t411)) % 15.11/15.35 (step @p653 :rule refl :args (@t418)) % 15.11/15.35 (step @p654 :rule refl :args (@t334)) % 15.11/15.35 (step @p655 :rule nary_cong :premises (@p654 @p653 @p652 @p651 @p650) :args ((or @t334 @t418 @t411 @t417 (not @t330)))) % 15.11/15.35 (step @p656 :rule cnf_and_neg :args (@t334)) % 15.11/15.35 (step @p657 :rule eq_resolve :premises (@p656 @p655)) % 15.11/15.35 (step @p658 :rule reordering :premises (@p657) :args ((or @t329 @t334 @t418 @t411 @t417))) % 15.11/15.35 (step @p659 :rule chain_m_resolution :premises (@p658 @p649 @p647 @p632 @p635) :args (@t329 (@list true false false false) (@list @t334 @t333 @t332 @t331))) % 15.11/15.35 (step @p660 :rule aci_norm :args ((= @t423 (or @t155 @t421 @t420)))) % 15.11/15.35 (step @p661 :rule cong :premises (@p660) :args (@t424)) % 15.11/15.35 (step @p662 :rule quant-merge-prenex :args ((= (forall @t9 @t426) @t424))) % 15.11/15.35 (step @p663 :rule alpha_equiv :args (@t427 (@list @t419) @t214)) % 15.11/15.35 (step @p664 :rule nary_cong :premises (@p178 @p663) :args (@t428)) % 15.11/15.35 (step @p665 :rule quant-miniscope-or :args ((= @t426 @t428))) % 15.11/15.35 (step @p666 :rule trans :premises (@p665 @p664)) % 15.11/15.35 (step @p667 :rule symm :premises (@p666)) % 15.11/15.35 (step @p668 :rule cong :premises (@p667) :args ((forall @t9 (or @t155 @t431)))) % 15.11/15.35 (step @p669 :rule trans :premises (@p668 @p662)) % 15.11/15.35 (step @p670 :rule trans :premises (@p669 @p661)) % 15.11/15.35 (step @p671 :rule bool-impl-elim :args (@t17 @t431)) % 15.11/15.35 (step @p672 :rule cong :premises (@p671) :args ((forall @t9 (=> @t17 @t431)))) % 15.11/15.35 (step @p673 :rule trans :premises (@p672 @p670)) % 15.11/15.35 (step @p674 :rule bool-impl-elim :args (@t24 @t430)) % 15.11/15.35 (step @p675 :rule cong :premises (@p674) :args ((forall @t7 (=> @t24 @t430)))) % 15.11/15.35 (step @p676 :rule bool-and-de-morgan :args (@t15 @t429 true)) % 15.11/15.35 (step @p677 :rule cong :premises (@p676) :args (@t433)) % 15.11/15.35 (step @p678 :rule cong :premises (@p677) :args (@t434)) % 15.11/15.35 (step @p679 :rule exists-elim :args ((= (exists @t16 @t432) @t434))) % 15.11/15.35 (step @p680 :rule trans :premises (@p679 @p678)) % 15.11/15.35 (step @p681 :rule eq-symm :args (@t19 @t2)) % 15.11/15.35 (step @p682 :rule nary_cong :premises (@p454 @p681) :args (@t20)) % 15.11/15.35 (step @p683 :rule cong :premises (@p682) :args (@t21)) % 15.11/15.35 (step @p684 :rule trans :premises (@p683 @p680)) % 15.11/15.35 (step @p685 :rule refl :args (@t22)) % 15.11/15.35 (step @p686 :rule cong :premises (@p685 @p684) :args (@t23)) % 15.11/15.35 (step @p687 :rule cong :premises (@p145 @p686) :args (@t25)) % 15.11/15.35 (step @p688 :rule cong :premises (@p687) :args (@t26)) % 15.11/15.35 (step @p689 :rule trans :premises (@p688 @p675)) % 15.11/15.35 (step @p690 :rule cong :premises (@p101 @p689) :args (@t27)) % 15.11/15.35 (step @p691 :rule cong :premises (@p690) :args (@t28)) % 15.11/15.35 (step @p692 :rule trans :premises (@p691 @p673)) % 15.11/15.35 (step @p693 :rule eq_resolve :premises (@p5 @p692)) % 15.11/15.35 (step @p694 :rule instantiate :premises (@p693) :args ((@list @t187 @t328))) % 15.11/15.35 (step @p695 :rule bool-double-not-elim :args (@t338)) % 15.11/15.35 (step @p696 :rule nary_cong :premises (@p468 @p695) :args ((or @t340 (not @t339)))) % 15.11/15.35 (step @p697 :rule cnf_or_neg :args (@t340 0)) % 15.11/15.35 (step @p698 :rule eq_resolve :premises (@p697 @p696)) % 15.11/15.35 (step @p699 :rule reordering :premises (@p698) :args ((or @t338 @t340))) % 15.11/15.35 (step @p700 :rule chain_m_resolution :premises (@p699 @p466) :args (@t338 @t341 @t342)) % 15.11/15.35 (step @p701 :rule cnf_or_pos :args (@t439)) % 15.11/15.35 (step @p702 :rule reordering :premises (@p701) :args ((or @t339 @t193 @t438 (not @t439)))) % 15.11/15.35 (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p473 @p694) :args (@t438 @t343 (@list @t338 @t192 @t439))) % 15.11/15.35 (step @p704 :rule bool-double-not-elim :args (@t335)) % 15.11/15.35 (step @p705 :rule nary_cong :premises (@p468 @p704) :args ((or @t340 (not @t336)))) % 15.11/15.35 (step @p706 :rule cnf_or_neg :args (@t340 3)) % 15.11/15.35 (step @p707 :rule eq_resolve :premises (@p706 @p705)) % 15.11/15.35 (step @p708 :rule reordering :premises (@p707) :args ((or @t335 @t340))) % 15.11/15.35 (step @p709 :rule chain_m_resolution :premises (@p708 @p466) :args (@t335 @t341 @t342)) % 15.11/15.35 (step @p710 :rule instantiate :premises (@p709) :args (@t440)) % 15.11/15.35 (step @p711 :rule eq-symm :args (@t328 tptp.nil)) % 15.11/15.35 (step @p712 :rule cong :premises (@p711) :args (@t441)) % 15.11/15.35 (step @p713 :rule refl :args (@t442)) % 15.11/15.35 (step @p714 :rule cong :premises (@p713 @p712) :args (@t443)) % 15.11/15.35 (step @p715 :rule refl :args (@t339)) % 15.11/15.35 (step @p716 :rule nary_cong :premises (@p715 @p198 @p714) :args (@t444)) % 15.11/15.35 (step @p717 :rule cong :premises (@p200 @p716) :args ((=> @t221 @t444))) % 15.11/15.35 (assume-push @p851 @t221) % 15.11/15.35 (step @p719 :rule instantiate :premises (@p194) :args ((@list @t328 tptp.nil))) % 15.11/15.35 (step-pop @p852 :rule scope :premises (@p719)) % 15.11/15.35 (step @p720 :rule process_scope :premises (@p852) :args (@t444)) % 15.11/15.35 (step @p722 :rule eq_resolve :premises (@p720 @p717)) % 15.11/15.35 (step @p723 :rule implies_elim :premises (@p722)) % 15.11/15.35 (step @p724 :rule chain_m_resolution :premises (@p723 @p194) :args (@t448 @t202 @t225)) % 15.11/15.35 (step @p725 :rule cnf_or_pos :args (@t448)) % 15.11/15.35 (step @p726 :rule reordering :premises (@p725) :args ((or @t143 @t339 @t447 (not @t448)))) % 15.11/15.35 (step @p727 :rule chain_m_resolution :premises (@p726 @p17 @p700 @p724) :args (@t447 @t343 (@list @t52 @t338 @t448))) % 15.11/15.35 (step @p728 :rule aci_norm :args ((= @t453 (or @t155 @t451 @t450)))) % 15.11/15.35 (step @p729 :rule cong :premises (@p728) :args (@t454)) % 15.11/15.35 (step @p730 :rule quant-merge-prenex :args ((= (forall @t9 @t456) @t454))) % 15.11/15.35 (step @p731 :rule alpha_equiv :args (@t457 (@list @t449) @t214)) % 15.11/15.35 (step @p732 :rule nary_cong :premises (@p178 @p731) :args (@t458)) % 15.11/15.35 (step @p733 :rule quant-miniscope-or :args ((= @t456 @t458))) % 15.11/15.35 (step @p734 :rule trans :premises (@p733 @p732)) % 15.11/15.35 (step @p735 :rule symm :premises (@p734)) % 15.11/15.35 (step @p736 :rule cong :premises (@p735) :args ((forall @t9 (or @t155 @t460)))) % 15.11/15.35 (step @p737 :rule trans :premises (@p736 @p730)) % 15.11/15.35 (step @p738 :rule trans :premises (@p737 @p729)) % 15.11/15.35 (step @p739 :rule bool-impl-elim :args (@t17 @t460)) % 15.11/15.35 (step @p740 :rule cong :premises (@p739) :args ((forall @t9 (=> @t17 @t460)))) % 15.11/15.35 (step @p741 :rule trans :premises (@p740 @p738)) % 15.11/15.35 (step @p742 :rule bool-impl-elim :args (@t6 @t459)) % 15.11/15.35 (step @p743 :rule cong :premises (@p742) :args ((forall @t7 (=> @t6 @t459)))) % 15.11/15.35 (step @p744 :rule eq-symm :args (@t47 @t2)) % 15.11/15.35 (step @p745 :rule cong :premises (@p744) :args (@t53)) % 15.11/15.35 (step @p746 :rule cong :premises (@p532 @p745) :args (@t54)) % 15.11/15.35 (step @p747 :rule cong :premises (@p746) :args (@t55)) % 15.11/15.35 (step @p748 :rule trans :premises (@p747 @p743)) % 15.11/15.35 (step @p749 :rule cong :premises (@p101 @p748) :args (@t56)) % 15.11/15.35 (step @p750 :rule cong :premises (@p749) :args (@t57)) % 15.11/15.35 (step @p751 :rule trans :premises (@p750 @p741)) % 15.11/15.35 (step @p752 :rule eq_resolve :premises (@p18 @p751)) % 15.11/15.35 (step @p753 :rule instantiate :premises (@p752) :args (@t404)) % 15.11/15.35 (step @p754 :rule cnf_or_pos :args (@t462)) % 15.11/15.35 (step @p755 :rule reordering :premises (@p754) :args ((or @t143 @t411 @t461 (not @t462)))) % 15.11/15.35 (step @p756 :rule chain_m_resolution :premises (@p755 @p17 @p632 @p753) :args (@t461 @t343 (@list @t52 @t332 @t462))) % 15.11/15.35 (step @p757 :rule false_intro :premises (@p756)) % 15.11/15.35 (step @p758 :rule refl :args (tptp.nil)) % 15.11/15.35 (step @p759 :rule cong :premises (@p758 @p659) :args (@t445)) % 15.11/15.35 (step @p760 :rule trans :premises (@p759 @p757)) % 15.11/15.35 (step @p761 :rule false_elim :premises (@p760)) % 15.11/15.35 (step @p762 :rule bool-double-not-elim :args (@t445)) % 15.11/15.35 (step @p763 :rule refl :args (@t463)) % 15.11/15.35 (step @p764 :rule nary_cong :premises (@p763 @p713 @p762) :args ((or @t463 @t442 (not @t446)))) % 15.11/15.35 (step @p765 :rule cnf_equiv_pos2 :args (@t447)) % 15.11/15.35 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 15.11/15.35 (step @p767 :rule reordering :premises (@p766) :args ((or @t445 @t442 @t463))) % 15.11/15.35 (step @p768 :rule chain_m_resolution :premises (@p767 @p761 @p727) :args (@t442 @t416 (@list @t445 @t447))) % 15.11/15.35 (step @p769 :rule bool-impl-elim :args (@t17 @t93)) % 15.11/15.35 (step @p770 :rule cong :premises (@p769) :args (@t94)) % 15.11/15.35 (step @p771 :rule eq_resolve :premises (@p42 @p770)) % 15.11/15.35 (step @p772 :rule instantiate :premises (@p771) :args (@t440)) % 15.11/15.35 (step @p773 :rule cnf_or_pos :args (@t465)) % 15.11/15.35 (step @p774 :rule reordering :premises (@p773) :args ((or @t339 @t464 (not @t465)))) % 15.11/15.35 (step @p775 :rule chain_m_resolution :premises (@p774 @p700 @p772) :args (@t464 @t145 (@list @t338 @t465))) % 15.11/15.35 (step @p776 :rule cnf_or_pos :args (@t469)) % 15.11/15.35 (step @p777 :rule reordering :premises (@p776) :args ((or @t339 @t466 @t468 @t467 (not @t469)))) % 15.11/15.35 (step @p778 :rule chain_m_resolution :premises (@p777 @p700 @p775 @p768 @p710) :args (@t467 (@list false false false false) (@list @t338 @t464 @t442 @t469))) % 15.11/15.35 (step @p779 :rule bool-double-not-elim :args (@t435)) % 15.11/15.35 (step @p780 :rule refl :args (@t437)) % 15.11/15.35 (step @p781 :rule refl :args (@t470)) % 15.11/15.35 (step @p782 :rule nary_cong :premises (@p781 @p780 @p779) :args ((or @t470 @t437 (not @t436)))) % 15.11/15.35 (step @p783 :rule cnf_equiv_pos2 :args (@t438)) % 15.11/15.35 (step @p784 :rule eq_resolve :premises (@p783 @p782)) % 15.11/15.35 (step @p785 :rule reordering :premises (@p784) :args ((or @t437 @t435 @t470))) % 15.11/15.35 (step @p786 :rule chain_m_resolution :premises (@p785 @p778 @p703) :args (@t435 @t416 (@list @t437 @t438))) % 15.11/15.35 (step @p787 :rule instantiate :premises (@p786) :args ((@list @t345))) % 15.11/15.35 (step @p788 :rule cnf_or_pos :args (@t473)) % 15.11/15.35 (step @p789 :rule reordering :premises (@p788) :args ((or @t353 @t472 (not @t473)))) % 15.11/15.35 (step @p790 :rule chain_m_resolution :premises (@p789 @p552 @p787) :args (@t472 @t145 (@list @t352 @t473))) % 15.11/15.35 (step @p791 :rule bool-double-not-elim :args (@t471)) % 15.11/15.35 (step @p792 :rule refl :args (@t474)) % 15.11/15.35 (step @p793 :rule refl :args (@t475)) % 15.11/15.35 (step @p794 :rule refl :args (@t349)) % 15.11/15.35 (step @p795 :rule refl :args (@t476)) % 15.11/15.35 (step @p796 :rule refl :args (@t330)) % 15.11/15.35 (step @p797 :rule nary_cong :premises (@p796 @p795 @p794 @p793 @p792 @p791) :args ((or @t330 @t476 @t349 @t475 @t474 (not @t472)))) % 15.11/15.35 (assume-push @p853 @t471) % 15.11/15.35 (assume-push @p854 @t472) % 15.11/15.35 (step @p800 :rule evaluate :args ((= true false))) % 15.11/15.35 (step @p801 :rule false_intro :premises (@p790)) % 15.11/15.35 (step @p802 :rule refl :args (@t345)) % 15.11/15.35 (step @p803 :rule symm :premises (@p659)) % 15.11/15.35 (step @p804 :rule symm :premises (@p109)) % 15.11/15.35 (step @p805 :rule refl :args (@t326)) % 15.11/15.35 (step @p806 :rule cong :premises (@p805 @p804) :args (@t477)) % 15.11/15.35 (step @p807 :rule symm :premises (@p514)) % 15.11/15.35 (step @p808 :rule cong :premises (@p807) :args (@t374)) % 15.11/15.35 (step @p809 :rule trans :premises (@p555 @p808)) % 15.11/15.35 (step @p810 :rule cong :premises (@p809 @p109) :args (@t388)) % 15.11/15.35 (step @p811 :rule trans :premises (@p810 @p806 @p803)) % 15.11/15.35 (step @p812 :rule cong :premises (@p811 @p802) :args (@t389)) % 15.11/15.35 (step @p813 :rule chain_m_resolution :premises (@p578 @p552 @p546 @p576) :args (@t390 @t343 @t392)) % 15.11/15.35 (step @p814 :rule chain_m_resolution :premises (@p513 @p507) :args (@t348 @t341 @t359)) % 15.11/15.35 (step @p815 :rule trans :premises (@p814 @p813 @p812)) % 15.11/15.35 (step @p816 :rule true_intro :premises (@p815)) % 15.11/15.35 (step @p817 :rule symm :premises (@p816)) % 15.11/15.35 (step @p818 :rule trans :premises (@p817 @p801)) % 15.11/15.35 (step @p819 false :rule eq_resolve :premises (@p818 @p800)) % 15.11/15.35 (step-pop @p855 :rule scope :premises (@p819)) % 15.11/15.35 (step-pop @p856 :rule scope :premises (@p855)) % 15.11/15.35 (step @p820 :rule process_scope :premises (@p856) :args (false)) % 15.11/15.35 (assume-push @p857 @t329) % 15.11/15.35 (assume-push @p858 @t142) % 15.11/15.35 (assume-push @p859 @t348) % 15.11/15.35 (assume-push @p860 @t375) % 15.11/15.35 (assume-push @p861 @t390) % 15.11/15.35 (assume-push @p862 @t472) % 15.11/15.35 (step @p802 :rule refl :args (@t345)) % 15.11/15.35 (step @p803 :rule symm :premises (@p659)) % 15.11/15.35 (step @p804 :rule symm :premises (@p109)) % 15.11/15.35 (step @p805 :rule refl :args (@t326)) % 15.11/15.35 (step @p806 :rule cong :premises (@p805 @p804) :args (@t477)) % 15.11/15.35 (step @p807 :rule symm :premises (@p514)) % 15.11/15.35 (step @p808 :rule cong :premises (@p807) :args (@t374)) % 15.11/15.35 (step @p809 :rule trans :premises (@p555 @p808)) % 15.11/15.35 (step @p810 :rule cong :premises (@p809 @p109) :args (@t388)) % 15.11/15.35 (step @p811 :rule trans :premises (@p810 @p806 @p803)) % 15.11/15.35 (step @p812 :rule cong :premises (@p811 @p802) :args (@t389)) % 15.11/15.35 (step @p829 :rule trans :premises (@p514 @p579 @p812)) % 15.11/15.35 (step @p830 :rule and_intro :premises (@p829 @p790)) % 15.11/15.35 (step-pop @p863 :rule scope :premises (@p830)) % 15.11/15.35 (step-pop @p864 :rule scope :premises (@p863)) % 15.11/15.35 (step-pop @p865 :rule scope :premises (@p864)) % 15.11/15.35 (step-pop @p866 :rule scope :premises (@p865)) % 15.11/15.35 (step-pop @p867 :rule scope :premises (@p866)) % 15.11/15.35 (step-pop @p868 :rule scope :premises (@p867)) % 15.11/15.35 (step @p831 :rule process_scope :premises (@p868) :args (@t478)) % 15.11/15.35 (step @p838 :rule implies_elim :premises (@p831)) % 15.11/15.35 (step @p839 :rule resolution :premises (@p838 @p820) :args (true @t478)) % 15.11/15.35 (step @p840 :rule not_and :premises (@p839)) % 15.11/15.35 (step @p841 :rule eq_resolve :premises (@p840 @p797)) % 15.11/15.35 (step @p842 false :rule chain_m_resolution :premises (@p841 @p790 @p659 @p579 @p555 @p514 @p109) :args (false (@list true false false false false false) (@list @t471 @t329 @t390 @t375 @t348 @t142))) % 0.35/15.42 ) % 0.35/15.42 % SZS output end Proof % 0.35/15.42 % cvc5 exiting %------------------------------------------------------------------------------