%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC010+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:57:41 AM UTC 2026 % Result : Theorem 0.35s 0.74s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC010+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:09:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.74 % SZS status Theorem % 0.35/0.74 % SZS output start Proof % 0.35/0.74 ( % 0.35/0.74 (declare-sort $$unsorted 0) % 0.35/0.74 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.74 (declare-const tptp.nil $$unsorted) % 0.35/0.74 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.35/0.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.35/0.74 (define @t1 () (@var "V" $$unsorted)) % 0.35/0.74 (define @t2 () (@var "U" $$unsorted)) % 0.35/0.74 (define @t3 () (= @t2 @t1)) % 0.35/0.74 (define @t4 () (not @t3)) % 0.35/0.74 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.35/0.74 (define @t6 () (tptp.ssItem @t1)) % 0.35/0.74 (define @t7 () (@list @t1)) % 0.35/0.74 (define @t8 () (tptp.ssItem @t2)) % 0.35/0.74 (define @t9 () (@list @t2)) % 0.35/0.74 (define @t10 () (@var "X" $$unsorted)) % 0.35/0.74 (define @t11 () (tptp.cons @t1 @t10)) % 0.35/0.74 (define @t12 () (@var "W" $$unsorted)) % 0.35/0.74 (define @t13 () (tptp.ssList @t10)) % 0.35/0.74 (define @t14 () (@list @t10)) % 0.35/0.74 (define @t15 () (tptp.ssList @t12)) % 0.35/0.74 (define @t16 () (@list @t12)) % 0.35/0.74 (define @t17 () (tptp.ssList @t2)) % 0.35/0.74 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.35/0.74 (define @t19 () (tptp.app @t1 @t12)) % 0.35/0.74 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.35/0.74 (define @t21 () (tptp.ssList @t1)) % 0.35/0.74 (define @t22 () (tptp.app @t12 @t1)) % 0.35/0.74 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.35/0.74 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.35/0.74 (define @t25 () (tptp.leq @t12 @t1)) % 0.35/0.74 (define @t26 () (tptp.leq @t1 @t12)) % 0.35/0.74 (define @t27 () (@var "Z" $$unsorted)) % 0.35/0.74 (define @t28 () (@var "Y" $$unsorted)) % 0.35/0.74 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.35/0.74 (define @t30 () (tptp.ssList @t27)) % 0.35/0.74 (define @t31 () (@list @t27)) % 0.35/0.74 (define @t32 () (tptp.ssList @t28)) % 0.35/0.74 (define @t33 () (@list @t28)) % 0.35/0.74 (define @t34 () (tptp.ssItem @t12)) % 0.35/0.74 (define @t35 () (tptp.lt @t1 @t12)) % 0.35/0.74 (define @t36 () (= @t1 @t12)) % 0.35/0.74 (define @t37 () (tptp.cons @t1 @t2)) % 0.35/0.74 (define @t38 () (= @t1 @t2)) % 0.35/0.74 (define @t39 () (tptp.cons @t12 @t1)) % 0.35/0.74 (define @t40 () (= tptp.nil @t2)) % 0.35/0.74 (define @t41 () (tptp.hd @t2)) % 0.35/0.74 (define @t42 () (not @t40)) % 0.35/0.74 (define @t43 () (tptp.tl @t2)) % 0.35/0.74 (define @t44 () (tptp.app @t2 @t1)) % 0.35/0.74 (define @t45 () (tptp.app @t1 @t2)) % 0.35/0.74 (define @t46 () (tptp.leq @t1 @t2)) % 0.35/0.74 (define @t47 () (tptp.leq @t2 @t1)) % 0.35/0.74 (define @t48 () (tptp.geq @t2 @t1)) % 0.35/0.74 (define @t49 () (tptp.lt @t1 @t2)) % 0.35/0.74 (define @t50 () (tptp.lt @t2 @t1)) % 0.35/0.74 (define @t51 () (tptp.lt @t2 @t12)) % 0.35/0.74 (define @t52 () (tptp.gt @t2 @t1)) % 0.35/0.74 (define @t53 () (tptp.memberP @t12 @t2)) % 0.35/0.74 (define @t54 () (tptp.app @t12 @t2)) % 0.35/0.74 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.35/0.74 (define @t56 () (tptp.hd @t1)) % 0.35/0.74 (define @t57 () (= tptp.nil @t1)) % 0.35/0.74 (define @t58 () (not @t57)) % 0.35/0.74 (define @t59 () (tptp.cons @t2 @t1)) % 0.35/0.74 (define @t60 () (= @t12 @t2)) % 0.35/0.74 (define @t61 () (tptp.neq @t1 tptp.nil)) % 0.35/0.74 (define @t62 () (not @t61)) % 0.35/0.74 (define @t63 () (or @t62 (tptp.neq @t10 tptp.nil))) % 0.35/0.74 (define @t64 () (@var "X2" $$unsorted)) % 0.35/0.74 (define @t65 () (@var "X5" $$unsorted)) % 0.35/0.74 (define @t66 () (tptp.geq @t65 @t64)) % 0.35/0.74 (define @t67 () (tptp.memberP @t10 @t65)) % 0.35/0.74 (define @t68 () (= @t64 @t65)) % 0.35/0.74 (define @t69 () (not @t68)) % 0.35/0.74 (define @t70 () (tptp.ssItem @t65)) % 0.35/0.74 (define @t71 () (and @t70 @t69 @t67 @t66)) % 0.35/0.74 (define @t72 () (@list @t65)) % 0.35/0.74 (define @t73 () (exists @t72 @t71)) % 0.35/0.74 (define @t74 () (@var "X4" $$unsorted)) % 0.35/0.74 (define @t75 () (@var "X3" $$unsorted)) % 0.35/0.74 (define @t76 () (tptp.app @t75 @t74)) % 0.35/0.74 (define @t77 () (not (= @t76 @t12))) % 0.35/0.74 (define @t78 () (tptp.cons @t64 tptp.nil)) % 0.35/0.74 (define @t79 () (tptp.app @t75 @t78)) % 0.35/0.74 (define @t80 () (tptp.app @t79 @t74)) % 0.35/0.74 (define @t81 () (not (= @t80 @t10))) % 0.35/0.74 (define @t82 () (or @t81 @t77 @t73)) % 0.35/0.74 (define @t83 () (tptp.ssList @t74)) % 0.35/0.74 (define @t84 () (=> @t83 @t82)) % 0.35/0.74 (define @t85 () (@list @t74)) % 0.35/0.74 (define @t86 () (forall @t85 @t84)) % 0.35/0.74 (define @t87 () (tptp.ssList @t75)) % 0.35/0.74 (define @t88 () (=> @t87 @t86)) % 0.35/0.74 (define @t89 () (@list @t75)) % 0.35/0.74 (define @t90 () (forall @t89 @t88)) % 0.35/0.74 (define @t91 () (tptp.ssItem @t64)) % 0.35/0.74 (define @t92 () (=> @t91 @t90)) % 0.35/0.74 (define @t93 () (@list @t64)) % 0.35/0.74 (define @t94 () (forall @t93 @t92)) % 0.35/0.74 (define @t95 () (@var "X1" $$unsorted)) % 0.35/0.74 (define @t96 () (tptp.app @t27 @t95)) % 0.35/0.74 (define @t97 () (tptp.cons @t28 tptp.nil)) % 0.35/0.74 (define @t98 () (tptp.app @t27 @t97)) % 0.35/0.74 (define @t99 () (tptp.app @t98 @t95)) % 0.35/0.74 (define @t100 () (tptp.ssList @t95)) % 0.35/0.74 (define @t101 () (and @t100 (= @t99 @t1) (= @t96 @t2))) % 0.35/0.74 (define @t102 () (@list @t95)) % 0.35/0.74 (define @t103 () (exists @t102 @t101)) % 0.35/0.74 (define @t104 () (and @t30 @t103)) % 0.35/0.74 (define @t105 () (exists @t31 @t104)) % 0.35/0.74 (define @t106 () (tptp.ssItem @t28)) % 0.35/0.74 (define @t107 () (and @t106 @t105)) % 0.35/0.74 (define @t108 () (exists @t33 @t107)) % 0.35/0.74 (define @t109 () (or @t62 @t108 @t94)) % 0.35/0.74 (define @t110 () (and @t109 @t63)) % 0.35/0.74 (define @t111 () (not (= @t2 @t12))) % 0.35/0.74 (define @t112 () (not (= @t1 @t10))) % 0.35/0.74 (define @t113 () (or @t112 @t111 @t110)) % 0.35/0.74 (define @t114 () (=> @t13 @t113)) % 0.35/0.74 (define @t115 () (forall @t14 @t114)) % 0.35/0.74 (define @t116 () (=> @t15 @t115)) % 0.35/0.74 (define @t117 () (forall @t16 @t116)) % 0.35/0.74 (define @t118 () (=> @t21 @t117)) % 0.35/0.74 (define @t119 () (forall @t7 @t118)) % 0.35/0.74 (define @t120 () (=> @t17 @t119)) % 0.35/0.74 (define @t121 () (forall @t9 @t120)) % 0.35/0.74 (define @t122 () (not @t121)) % 0.35/0.74 (define @t123 () (@var "BOUND_VARIABLE_11310" $$unsorted)) % 0.35/0.74 (define @t124 () (not (tptp.ssList @t123))) % 0.35/0.74 (define @t125 () (@var "BOUND_VARIABLE_11308" $$unsorted)) % 0.35/0.74 (define @t126 () (not (tptp.ssList @t125))) % 0.35/0.74 (define @t127 () (@var "BOUND_VARIABLE_11306" $$unsorted)) % 0.35/0.74 (define @t128 () (tptp.app (tptp.app @t125 (tptp.cons @t127 tptp.nil)) @t123)) % 0.35/0.74 (define @t129 () (not @t70)) % 0.35/0.74 (define @t130 () (not (forall @t72 (or @t129 (= @t65 @t127) (not (tptp.memberP @t128 @t65)) (not (tptp.geq @t65 @t127)))))) % 0.35/0.74 (define @t131 () (not (tptp.ssItem @t127))) % 0.35/0.74 (define @t132 () (tptp.app @t125 @t123)) % 0.35/0.74 (define @t133 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.35/0.74 (define @t134 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.35/0.74 (define @t135 () (tptp.app @t134 @t133)) % 0.35/0.74 (define @t136 () (tptp.app (tptp.app @t134 @t97) @t133)) % 0.35/0.74 (define @t137 () (not (= @t136 @t128))) % 0.35/0.74 (define @t138 () (not (tptp.ssList @t133))) % 0.35/0.74 (define @t139 () (not (tptp.ssList @t134))) % 0.35/0.74 (define @t140 () (not @t106)) % 0.35/0.74 (define @t141 () (@list @t28 @t134 @t133)) % 0.35/0.74 (define @t142 () (not (forall @t141 (or @t140 @t139 @t138 @t137 (not (= @t135 @t132)))))) % 0.35/0.74 (define @t143 () (not (tptp.neq @t128 tptp.nil))) % 0.35/0.74 (define @t144 () (not (tptp.ssList @t128))) % 0.35/0.74 (define @t145 () (not (tptp.ssList @t132))) % 0.35/0.74 (define @t146 () (or @t145 @t144 @t143 @t142 @t131 @t130 @t126 @t124)) % 0.35/0.74 (define @t147 () (not (= @t132 @t132))) % 0.35/0.74 (define @t148 () (not (= @t132 @t135))) % 0.35/0.74 (define @t149 () (or @t140 @t139 @t138 @t137 @t148)) % 0.35/0.74 (define @t150 () (forall @t141 @t149)) % 0.35/0.74 (define @t151 () (not @t150)) % 0.35/0.74 (define @t152 () (or @t145 @t144 @t143 @t151 @t131 @t130 @t126 @t124 @t147)) % 0.35/0.74 (define @t153 () (@list @t127 @t125 @t123)) % 0.35/0.74 (define @t154 () (not (= @t2 @t132))) % 0.35/0.74 (define @t155 () (not (= @t2 @t135))) % 0.35/0.74 (define @t156 () (not (forall @t141 (or @t140 @t139 @t138 @t137 @t155)))) % 0.35/0.74 (define @t157 () (not @t17)) % 0.35/0.74 (define @t158 () (or @t154 @t157 @t144 @t143 @t156 @t131 @t130 @t126 @t124 @t154)) % 0.35/0.74 (define @t159 () (or @t157 @t144 @t143 @t156 @t131 @t130 @t126 @t124 @t154)) % 0.35/0.74 (define @t160 () (forall @t9 @t159)) % 0.35/0.74 (define @t161 () (forall @t153 @t160)) % 0.35/0.74 (define @t162 () (forall (@list @t127 @t125 @t123 @t2) @t159)) % 0.35/0.74 (define @t163 () (@list @t2 @t127 @t125 @t123)) % 0.35/0.74 (define @t164 () (or @t144 @t143 @t156 @t131 @t130 @t126 @t124 @t154)) % 0.35/0.74 (define @t165 () (or @t157 @t164)) % 0.35/0.74 (define @t166 () (forall @t163 @t165)) % 0.35/0.74 (define @t167 () (forall @t153 @t165)) % 0.35/0.74 (define @t168 () (forall @t153 @t164)) % 0.35/0.74 (define @t169 () (@var "BOUND_VARIABLE_11247" $$unsorted)) % 0.35/0.74 (define @t170 () (@var "BOUND_VARIABLE_11245" $$unsorted)) % 0.35/0.74 (define @t171 () (@var "BOUND_VARIABLE_11243" $$unsorted)) % 0.35/0.74 (define @t172 () (@list @t171 @t170 @t169)) % 0.35/0.74 (define @t173 () (or @t157 @t168)) % 0.35/0.74 (define @t174 () (not (= @t2 (tptp.app @t170 @t169)))) % 0.35/0.74 (define @t175 () (not (tptp.ssList @t169))) % 0.35/0.74 (define @t176 () (not (tptp.ssList @t170))) % 0.35/0.74 (define @t177 () (not (tptp.geq @t65 @t171))) % 0.35/0.74 (define @t178 () (tptp.app (tptp.app @t170 (tptp.cons @t171 tptp.nil)) @t169)) % 0.35/0.74 (define @t179 () (= @t65 @t171)) % 0.35/0.74 (define @t180 () (not (forall @t72 (or @t129 @t179 (not (tptp.memberP @t178 @t65)) @t177)))) % 0.35/0.74 (define @t181 () (not (tptp.ssItem @t171))) % 0.35/0.74 (define @t182 () (not (forall @t141 (or @t140 @t139 @t138 (not (= @t136 @t178)) @t155)))) % 0.35/0.74 (define @t183 () (not (tptp.neq @t178 tptp.nil))) % 0.35/0.74 (define @t184 () (not (tptp.ssList @t178))) % 0.35/0.74 (define @t185 () (or @t184 @t183 @t182 @t181 @t180 @t176 @t175 @t174)) % 0.35/0.74 (define @t186 () (@list @t171 @t170 @t169)) % 0.35/0.74 (define @t187 () (or @t157 (forall @t186 @t185))) % 0.35/0.74 (define @t188 () (not (= @t178 @t178))) % 0.35/0.74 (define @t189 () (not (= @t178 @t136))) % 0.35/0.74 (define @t190 () (or @t140 @t139 @t138 @t189 @t155)) % 0.35/0.74 (define @t191 () (forall @t141 @t190)) % 0.35/0.74 (define @t192 () (not @t191)) % 0.35/0.74 (define @t193 () (or @t184 @t183 @t192 @t181 @t180 @t176 @t175 @t188 @t174)) % 0.35/0.74 (define @t194 () (not (= @t1 @t178))) % 0.35/0.74 (define @t195 () (not (tptp.memberP @t1 @t65))) % 0.35/0.74 (define @t196 () (not (forall @t72 (or @t129 @t179 @t195 @t177)))) % 0.35/0.74 (define @t197 () (not (= @t1 @t136))) % 0.35/0.74 (define @t198 () (or @t140 @t139 @t138 @t197 @t155)) % 0.35/0.74 (define @t199 () (not (forall @t141 @t198))) % 0.35/0.74 (define @t200 () (not @t21)) % 0.35/0.74 (define @t201 () (or @t194 @t200 @t62 @t199 @t181 @t196 @t176 @t175 @t194 @t174)) % 0.35/0.74 (define @t202 () (or @t200 @t62 @t199 @t181 @t196 @t176 @t175 @t194 @t174)) % 0.35/0.74 (define @t203 () (forall @t7 @t202)) % 0.35/0.74 (define @t204 () (forall @t186 @t203)) % 0.35/0.74 (define @t205 () (forall (@list @t171 @t170 @t169 @t1) @t202)) % 0.35/0.74 (define @t206 () (@list @t1 @t171 @t170 @t169)) % 0.35/0.74 (define @t207 () (or @t181 @t196 @t176 @t175 @t194 @t174)) % 0.35/0.74 (define @t208 () (or @t200 @t62 @t199 @t207)) % 0.35/0.74 (define @t209 () (forall @t206 @t208)) % 0.35/0.74 (define @t210 () (forall @t186 @t208)) % 0.35/0.74 (define @t211 () (forall @t186 @t207)) % 0.35/0.74 (define @t212 () (@var "BOUND_VARIABLE_11194" $$unsorted)) % 0.35/0.74 (define @t213 () (@var "BOUND_VARIABLE_11192" $$unsorted)) % 0.35/0.74 (define @t214 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 0.35/0.74 (define @t215 () (@list @t214 @t213 @t212)) % 0.35/0.74 (define @t216 () (or @t200 @t62 @t199 @t211)) % 0.35/0.74 (define @t217 () (tptp.app @t213 @t212)) % 0.35/0.74 (define @t218 () (not (= @t2 @t217))) % 0.35/0.74 (define @t219 () (not (= @t1 (tptp.app (tptp.app @t213 (tptp.cons @t214 tptp.nil)) @t212)))) % 0.35/0.74 (define @t220 () (not (tptp.ssList @t212))) % 0.35/0.74 (define @t221 () (not (tptp.ssList @t213))) % 0.35/0.74 (define @t222 () (not (forall @t72 (or @t129 (= @t65 @t214) @t195 (not (tptp.geq @t65 @t214)))))) % 0.35/0.74 (define @t223 () (not (tptp.ssItem @t214))) % 0.35/0.74 (define @t224 () (or @t223 @t222 @t221 @t220 @t219 @t218)) % 0.35/0.74 (define @t225 () (@list @t214 @t213 @t212)) % 0.35/0.74 (define @t226 () (forall @t225 @t224)) % 0.35/0.74 (define @t227 () (or @t200 @t62 @t199 @t226)) % 0.35/0.74 (define @t228 () (forall @t7 @t227)) % 0.35/0.74 (define @t229 () (or @t157 @t228)) % 0.35/0.74 (define @t230 () (or @t157 @t227)) % 0.35/0.74 (define @t231 () (or @t200 @t62 @t199 @t157 @t226)) % 0.35/0.74 (define @t232 () (or @t157 @t226)) % 0.35/0.74 (define @t233 () (or @t157 @t224)) % 0.35/0.74 (define @t234 () (or @t157 @t223 @t222 @t221 @t220 @t219 @t218)) % 0.35/0.74 (define @t235 () (not (= @t2 @t2))) % 0.35/0.74 (define @t236 () (or @t157 @t235 @t223 @t222 @t221 @t220 @t219 @t218)) % 0.35/0.74 (define @t237 () (not (= @t12 @t217))) % 0.35/0.74 (define @t238 () (not @t15)) % 0.35/0.74 (define @t239 () (or @t111 @t238 @t111 @t223 @t222 @t221 @t220 @t219 @t237)) % 0.35/0.74 (define @t240 () (or @t238 @t111 @t223 @t222 @t221 @t220 @t219 @t237)) % 0.35/0.74 (define @t241 () (forall @t16 @t240)) % 0.35/0.74 (define @t242 () (forall @t225 @t241)) % 0.35/0.74 (define @t243 () (forall (@list @t214 @t213 @t212 @t12) @t240)) % 0.35/0.74 (define @t244 () (@list @t12 @t214 @t213 @t212)) % 0.35/0.74 (define @t245 () (or @t223 @t222 @t221 @t220 @t219 @t237)) % 0.35/0.74 (define @t246 () (or @t238 @t111 @t245)) % 0.35/0.74 (define @t247 () (forall @t244 @t246)) % 0.35/0.74 (define @t248 () (forall @t225 @t246)) % 0.35/0.74 (define @t249 () (forall @t225 @t245)) % 0.35/0.74 (define @t250 () (@var "BOUND_VARIABLE_11119" $$unsorted)) % 0.35/0.74 (define @t251 () (@var "BOUND_VARIABLE_11117" $$unsorted)) % 0.35/0.74 (define @t252 () (@var "BOUND_VARIABLE_11115" $$unsorted)) % 0.35/0.74 (define @t253 () (@list @t252 @t251 @t250)) % 0.35/0.74 (define @t254 () (or @t238 @t111 @t249)) % 0.35/0.74 (define @t255 () (not (= @t12 (tptp.app @t251 @t250)))) % 0.35/0.74 (define @t256 () (tptp.app (tptp.app @t251 (tptp.cons @t252 tptp.nil)) @t250)) % 0.35/0.74 (define @t257 () (not (= @t1 @t256))) % 0.35/0.74 (define @t258 () (not (tptp.ssList @t250))) % 0.35/0.74 (define @t259 () (not (tptp.ssList @t251))) % 0.35/0.74 (define @t260 () (not (tptp.geq @t65 @t252))) % 0.35/0.74 (define @t261 () (= @t65 @t252)) % 0.35/0.74 (define @t262 () (not (forall @t72 (or @t129 @t261 @t195 @t260)))) % 0.35/0.74 (define @t263 () (not (tptp.ssItem @t252))) % 0.35/0.74 (define @t264 () (or @t263 @t262 @t259 @t258 @t257 @t255)) % 0.35/0.74 (define @t265 () (@list @t252 @t251 @t250)) % 0.35/0.74 (define @t266 () (forall @t265 @t264)) % 0.35/0.74 (define @t267 () (or @t238 @t111 @t266)) % 0.35/0.74 (define @t268 () (forall @t16 @t267)) % 0.35/0.74 (define @t269 () (or @t200 @t62 @t199 @t268)) % 0.35/0.74 (define @t270 () (or @t200 @t62 @t199 @t267)) % 0.35/0.74 (define @t271 () (or @t238 @t111 @t200 @t62 @t199 @t266)) % 0.35/0.74 (define @t272 () (or @t111 @t200 @t62 @t199 @t266)) % 0.35/0.74 (define @t273 () (or @t200 @t62 @t199 @t266)) % 0.35/0.74 (define @t274 () (or @t200 @t62 @t199 @t264)) % 0.35/0.74 (define @t275 () (or @t200 @t62 @t199 @t263 @t262 @t259 @t258 @t257 @t255)) % 0.35/0.74 (define @t276 () (or @t62 @t199 @t263 @t262 @t259 @t258 @t257 @t255)) % 0.35/0.74 (define @t277 () (and @t276 true)) % 0.35/0.74 (define @t278 () (or @t200 @t277)) % 0.35/0.74 (define @t279 () (and @t276 (or @t62 @t61))) % 0.35/0.74 (define @t280 () (or @t200 @t279)) % 0.35/0.74 (define @t281 () (not (= @t1 @t1))) % 0.35/0.74 (define @t282 () (or @t200 @t281 @t279)) % 0.35/0.74 (define @t283 () (not (= @t10 @t256))) % 0.35/0.74 (define @t284 () (not @t67)) % 0.35/0.74 (define @t285 () (and (or @t62 @t199 @t263 (not (forall @t72 (or @t129 @t261 @t284 @t260))) @t259 @t258 @t283 @t255) @t63)) % 0.35/0.74 (define @t286 () (not @t13)) % 0.35/0.74 (define @t287 () (or @t112 @t286 @t112 @t285)) % 0.35/0.74 (define @t288 () (or @t286 @t112 @t285)) % 0.35/0.74 (define @t289 () (forall @t14 @t288)) % 0.35/0.74 (define @t290 () (forall @t265 @t289)) % 0.35/0.74 (define @t291 () (forall (@list @t252 @t251 @t250 @t10) @t288)) % 0.35/0.74 (define @t292 () (@list @t10 @t252 @t251 @t250)) % 0.35/0.74 (define @t293 () (or @t129 (= @t252 @t65) @t284 @t260)) % 0.35/0.74 (define @t294 () (forall @t72 @t293)) % 0.35/0.74 (define @t295 () (not @t294)) % 0.35/0.74 (define @t296 () (or @t62 @t199 @t263 @t295 @t259 @t258 @t283 @t255)) % 0.35/0.74 (define @t297 () (or @t263 @t295 @t259 @t258 @t283 @t255)) % 0.35/0.74 (define @t298 () (or @t62 @t199 @t297)) % 0.35/0.74 (define @t299 () (and @t298 @t63)) % 0.35/0.74 (define @t300 () (or @t286 @t112 @t299)) % 0.35/0.74 (define @t301 () (forall @t292 @t300)) % 0.35/0.74 (define @t302 () (forall @t265 @t300)) % 0.35/0.74 (define @t303 () (forall @t265 @t63)) % 0.35/0.74 (define @t304 () (forall @t265 @t297)) % 0.35/0.74 (define @t305 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 0.35/0.74 (define @t306 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 0.35/0.74 (define @t307 () (or @t62 @t199 @t304)) % 0.35/0.74 (define @t308 () (forall @t265 @t298)) % 0.35/0.74 (define @t309 () (and @t308 @t303)) % 0.35/0.74 (define @t310 () (forall @t265 @t299)) % 0.35/0.74 (define @t311 () (or @t286 @t112 @t310)) % 0.35/0.74 (define @t312 () (not (= @t12 (tptp.app @t306 @t305)))) % 0.35/0.74 (define @t313 () (not (= @t10 (tptp.app (tptp.app @t306 @t78) @t305)))) % 0.35/0.74 (define @t314 () (not (tptp.ssList @t305))) % 0.35/0.74 (define @t315 () (not (tptp.ssList @t306))) % 0.35/0.74 (define @t316 () (not @t66)) % 0.35/0.74 (define @t317 () (not (forall @t72 (or @t129 @t68 @t284 @t316)))) % 0.35/0.74 (define @t318 () (not @t91)) % 0.35/0.74 (define @t319 () (or @t318 @t317 @t315 @t314 @t313 @t312)) % 0.35/0.74 (define @t320 () (@list @t64 @t306 @t305)) % 0.35/0.74 (define @t321 () (and (or @t62 @t199 (forall @t320 @t319)) @t63)) % 0.35/0.74 (define @t322 () (or @t286 @t112 @t321)) % 0.35/0.74 (define @t323 () (forall @t14 @t322)) % 0.35/0.74 (define @t324 () (or @t111 @t323)) % 0.35/0.74 (define @t325 () (or @t111 @t322)) % 0.35/0.74 (define @t326 () (or @t286 @t112 @t111 @t321)) % 0.35/0.74 (define @t327 () (or @t112 @t111 @t321)) % 0.35/0.74 (define @t328 () (or @t315 @t314 @t313 @t312)) % 0.35/0.74 (define @t329 () (or @t318 @t317 @t328)) % 0.35/0.74 (define @t330 () (forall @t320 @t329)) % 0.35/0.74 (define @t331 () (@list @t306 @t305)) % 0.35/0.74 (define @t332 () (forall @t331 @t329)) % 0.35/0.74 (define @t333 () (forall @t331 @t328)) % 0.35/0.74 (define @t334 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 0.35/0.74 (define @t335 () (or @t318 @t317 @t333)) % 0.35/0.74 (define @t336 () (not (= @t12 (tptp.app @t75 @t334)))) % 0.35/0.74 (define @t337 () (not (= @t10 (tptp.app @t79 @t334)))) % 0.35/0.74 (define @t338 () (not (tptp.ssList @t334))) % 0.35/0.74 (define @t339 () (not @t87)) % 0.35/0.74 (define @t340 () (or @t339 @t338 @t337 @t336)) % 0.35/0.74 (define @t341 () (@list @t75 @t334)) % 0.35/0.74 (define @t342 () (forall @t341 @t340)) % 0.35/0.74 (define @t343 () (or @t318 @t317 @t342)) % 0.35/0.74 (define @t344 () (or @t317 @t342)) % 0.35/0.74 (define @t345 () (or @t338 @t337 @t336)) % 0.35/0.74 (define @t346 () (or @t339 @t345)) % 0.35/0.74 (define @t347 () (forall @t341 @t346)) % 0.35/0.74 (define @t348 () (@list @t334)) % 0.35/0.74 (define @t349 () (forall @t348 @t346)) % 0.35/0.74 (define @t350 () (forall @t348 @t345)) % 0.35/0.74 (define @t351 () (or @t339 @t350)) % 0.35/0.74 (define @t352 () (not (= @t12 @t76))) % 0.35/0.74 (define @t353 () (not (= @t10 @t80))) % 0.35/0.74 (define @t354 () (not @t83)) % 0.35/0.74 (define @t355 () (or @t354 @t353 @t352)) % 0.35/0.74 (define @t356 () (forall @t85 @t355)) % 0.35/0.74 (define @t357 () (or @t339 @t356)) % 0.35/0.74 (define @t358 () (forall @t89 @t357)) % 0.35/0.74 (define @t359 () (or @t317 @t358)) % 0.35/0.74 (define @t360 () (or @t317 @t357)) % 0.35/0.74 (define @t361 () (or @t339 @t317 @t356)) % 0.35/0.74 (define @t362 () (or @t317 @t356)) % 0.35/0.74 (define @t363 () (or @t317 @t355)) % 0.35/0.74 (define @t364 () (or @t354 @t353 @t352 @t317)) % 0.35/0.74 (define @t365 () (or @t353 @t352 @t317)) % 0.35/0.74 (define @t366 () (not @t69)) % 0.35/0.74 (define @t367 () (or @t129 @t366 @t284 @t316)) % 0.35/0.74 (define @t368 () (forall @t72 (not @t71))) % 0.35/0.74 (define @t369 () (not @t368)) % 0.35/0.74 (define @t370 () (or @t139 @t138 @t197 @t155)) % 0.35/0.74 (define @t371 () (or @t140 @t370)) % 0.35/0.74 (define @t372 () (forall @t141 @t371)) % 0.35/0.74 (define @t373 () (@list @t134 @t133)) % 0.35/0.74 (define @t374 () (forall @t373 @t371)) % 0.35/0.74 (define @t375 () (forall @t373 @t370)) % 0.35/0.74 (define @t376 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 0.35/0.74 (define @t377 () (or @t140 @t375)) % 0.35/0.74 (define @t378 () (not (= @t2 (tptp.app @t27 @t376)))) % 0.35/0.74 (define @t379 () (not (= @t1 (tptp.app @t98 @t376)))) % 0.35/0.74 (define @t380 () (not (tptp.ssList @t376))) % 0.35/0.74 (define @t381 () (not @t30)) % 0.35/0.74 (define @t382 () (or @t381 @t380 @t379 @t378)) % 0.35/0.74 (define @t383 () (@list @t27 @t376)) % 0.35/0.74 (define @t384 () (forall @t383 @t382)) % 0.35/0.74 (define @t385 () (not @t384)) % 0.35/0.74 (define @t386 () (and @t106 @t385)) % 0.35/0.74 (define @t387 () (forall @t33 (not @t386))) % 0.35/0.74 (define @t388 () (not @t387)) % 0.35/0.74 (define @t389 () (or @t380 @t379 @t378)) % 0.35/0.74 (define @t390 () (or @t381 @t389)) % 0.35/0.74 (define @t391 () (forall @t383 @t390)) % 0.35/0.74 (define @t392 () (@list @t376)) % 0.35/0.74 (define @t393 () (forall @t392 @t390)) % 0.35/0.74 (define @t394 () (forall @t392 @t389)) % 0.35/0.74 (define @t395 () (or @t381 @t394)) % 0.35/0.74 (define @t396 () (= @t2 @t96)) % 0.35/0.74 (define @t397 () (not @t396)) % 0.35/0.74 (define @t398 () (= @t1 @t99)) % 0.35/0.74 (define @t399 () (not @t398)) % 0.35/0.74 (define @t400 () (not @t100)) % 0.35/0.74 (define @t401 () (or @t400 @t399 @t397)) % 0.35/0.74 (define @t402 () (forall @t102 @t401)) % 0.35/0.74 (define @t403 () (not @t402)) % 0.35/0.74 (define @t404 () (and @t30 @t403)) % 0.35/0.74 (define @t405 () (forall @t31 (not @t404))) % 0.35/0.74 (define @t406 () (not @t405)) % 0.35/0.74 (define @t407 () (and @t100 @t398 @t396)) % 0.35/0.74 (define @t408 () (forall @t102 (not @t407))) % 0.35/0.74 (define @t409 () (not @t408)) % 0.35/0.74 (define @t410 () (forall @t153 @t146)) % 0.35/0.74 (define @t411 () (@quantifiers_skolemize @t410 2)) % 0.35/0.74 (define @t412 () (@quantifiers_skolemize @t410 1)) % 0.35/0.74 (define @t413 () (tptp.app @t412 @t411)) % 0.35/0.74 (define @t414 () (@quantifiers_skolemize @t410 0)) % 0.35/0.74 (define @t415 () (tptp.app (tptp.app @t412 (tptp.cons @t414 tptp.nil)) @t411)) % 0.35/0.74 (define @t416 () (forall @t141 (or @t140 @t139 @t138 (not (= @t136 @t415)) (not (= @t135 @t413))))) % 0.35/0.74 (define @t417 () (tptp.ssList @t411)) % 0.35/0.74 (define @t418 () (not @t417)) % 0.35/0.74 (define @t419 () (tptp.ssList @t412)) % 0.35/0.74 (define @t420 () (not @t419)) % 0.35/0.74 (define @t421 () (tptp.ssItem @t414)) % 0.35/0.74 (define @t422 () (not @t421)) % 0.35/0.74 (define @t423 () (not @t416)) % 0.35/0.74 (define @t424 () (or (not (tptp.ssList @t413)) (not (tptp.ssList @t415)) (not (tptp.neq @t415 tptp.nil)) @t423 @t422 (not (forall @t72 (or @t129 (= @t65 @t414) (not (tptp.memberP @t415 @t65)) (not (tptp.geq @t65 @t414))))) @t420 @t418)) % 0.35/0.74 (define @t425 () (@list true)) % 0.35/0.74 (define @t426 () (@list @t424)) % 0.35/0.74 (define @t427 () (or @t422 @t420 @t418)) % 0.35/0.74 (define @t428 () (not @t427)) % 0.35/0.74 (define @t429 () (not (= @t413 @t413))) % 0.35/0.74 (define @t430 () (not (= @t415 @t415))) % 0.35/0.74 (define @t431 () (or @t422 @t420 @t418 @t430 @t429)) % 0.35/0.74 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.35/0.74 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.35/0.74 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.35/0.74 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.35/0.74 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.35/0.74 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.35/0.74 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.35/0.74 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.35/0.74 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.35/0.74 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.35/0.74 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.35/0.74 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.35/0.74 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.35/0.74 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.35/0.74 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.35/0.74 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.35/0.74 (assume @p17 (tptp.ssList tptp.nil)) % 0.35/0.74 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.35/0.74 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.35/0.74 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.35/0.74 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.35/0.74 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.35/0.74 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.35/0.74 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.35/0.74 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.35/0.74 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.35/0.74 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.35/0.74 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.35/0.74 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.35/0.74 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.35/0.74 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.35/0.74 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.35/0.74 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.35/0.74 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.35/0.74 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.35/0.74 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.35/0.74 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.35/0.74 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.35/0.74 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.35/0.74 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.35/0.74 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.35/0.74 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.35/0.74 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.35/0.74 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.35/0.74 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.35/0.74 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.35/0.74 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.35/0.74 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.35/0.74 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.35/0.74 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.35/0.74 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.35/0.74 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.35/0.74 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.35/0.74 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.35/0.74 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.35/0.74 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.35/0.74 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.35/0.74 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.35/0.74 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.35/0.74 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.35/0.74 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.35/0.74 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.35/0.74 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.35/0.74 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.35/0.74 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.35/0.74 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.35/0.74 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.35/0.74 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.35/0.74 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.35/0.74 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.35/0.74 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.35/0.74 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.35/0.74 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.35/0.74 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.35/0.74 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.35/0.74 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.35/0.74 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.35/0.74 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.35/0.74 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.35/0.74 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.35/0.74 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.35/0.74 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.35/0.74 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.35/0.74 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.35/0.74 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.35/0.74 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.35/0.74 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.35/0.74 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.35/0.74 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.35/0.74 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.35/0.74 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.35/0.74 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.35/0.74 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.35/0.74 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.35/0.74 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.35/0.74 (assume @p96 @t122) % 0.35/0.74 (assume @p97 true) % 0.35/0.74 (step @p98 :rule aci_norm :args ((= (or @t145 @t144 @t143 @t142 @t131 @t130 @t126 @t124 false) @t146))) % 0.35/0.74 (step @p99 :rule evaluate :args ((not true))) % 0.35/0.74 (step @p100 :rule eq-refl :args (@t132)) % 0.35/0.74 (step @p101 :rule cong :premises (@p100) :args (@t147)) % 0.35/0.74 (step @p102 :rule trans :premises (@p101 @p99)) % 0.35/0.74 (step @p103 :rule refl :args (@t124)) % 0.35/0.74 (step @p104 :rule refl :args (@t126)) % 0.35/0.74 (step @p105 :rule refl :args (@t130)) % 0.35/0.74 (step @p106 :rule refl :args (@t131)) % 0.35/0.74 (step @p107 :rule eq-symm :args (@t132 @t135)) % 0.35/0.74 (step @p108 :rule cong :premises (@p107) :args (@t148)) % 0.35/0.74 (step @p109 :rule refl :args (@t137)) % 0.35/0.74 (step @p110 :rule refl :args (@t138)) % 0.35/0.74 (step @p111 :rule refl :args (@t139)) % 0.35/0.74 (step @p112 :rule refl :args (@t140)) % 0.35/0.74 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args (@t149)) % 0.35/0.74 (step @p114 :rule cong :premises (@p113) :args (@t150)) % 0.35/0.74 (step @p115 :rule cong :premises (@p114) :args (@t151)) % 0.35/0.74 (step @p116 :rule refl :args (@t143)) % 0.35/0.74 (step @p117 :rule refl :args (@t144)) % 0.35/0.74 (step @p118 :rule refl :args (@t145)) % 0.35/0.74 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p106 @p105 @p104 @p103 @p102) :args (@t152)) % 0.35/0.74 (step @p120 :rule trans :premises (@p119 @p98)) % 0.35/0.74 (step @p121 :rule cong :premises (@p120) :args ((forall @t153 @t152))) % 0.35/0.74 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t9 @t158) @t152))) % 0.35/0.74 (step @p123 :rule aci_norm :args ((= @t159 @t158))) % 0.35/0.74 (step @p124 :rule cong :premises (@p123) :args (@t160)) % 0.35/0.74 (step @p125 :rule trans :premises (@p124 @p122)) % 0.35/0.74 (step @p126 :rule cong :premises (@p125) :args (@t161)) % 0.35/0.74 (step @p127 :rule quant-merge-prenex :args ((= @t161 @t162))) % 0.35/0.74 (step @p128 :rule symm :premises (@p127)) % 0.35/0.74 (step @p129 :rule quant_var_reordering :args ((= (forall @t163 @t159) @t162))) % 0.35/0.74 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 0.35/0.74 (step @p131 :rule trans :premises (@p130 @p121)) % 0.35/0.74 (step @p132 :rule aci_norm :args ((= @t165 @t159))) % 0.35/0.74 (step @p133 :rule cong :premises (@p132) :args (@t166)) % 0.35/0.74 (step @p134 :rule trans :premises (@p133 @p131)) % 0.35/0.74 (step @p135 :rule quant-merge-prenex :args ((= (forall @t9 @t167) @t166))) % 0.35/0.74 (step @p136 :rule alpha_equiv :args (@t168 (@list @t127 @t125 @t123) @t172)) % 0.35/0.74 (step @p137 :rule refl :args (@t157)) % 0.35/0.74 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t173)) % 0.35/0.74 (step @p139 :rule quant-miniscope-or :args ((= @t167 @t173))) % 0.35/0.74 (step @p140 :rule trans :premises (@p139 @p138)) % 0.35/0.74 (step @p141 :rule symm :premises (@p140)) % 0.35/0.74 (step @p142 :rule cong :premises (@p141) :args ((forall @t9 @t187))) % 0.35/0.74 (step @p143 :rule trans :premises (@p142 @p135)) % 0.35/0.74 (step @p144 :rule trans :premises (@p143 @p134)) % 0.35/0.74 (step @p145 :rule aci_norm :args ((= (or @t157 @t187) @t187))) % 0.35/0.74 (step @p146 :rule bool-impl-elim :args (@t17 @t187)) % 0.35/0.74 (step @p147 :rule trans :premises (@p146 @p145)) % 0.35/0.74 (step @p148 :rule cong :premises (@p147) :args ((forall @t9 (=> @t17 @t187)))) % 0.35/0.74 (step @p149 :rule trans :premises (@p148 @p144)) % 0.35/0.74 (step @p150 :rule aci_norm :args ((= (or @t184 @t183 @t182 @t181 @t180 @t176 @t175 false @t174) @t185))) % 0.35/0.74 (step @p151 :rule refl :args (@t174)) % 0.35/0.74 (step @p152 :rule eq-refl :args (@t178)) % 0.35/0.74 (step @p153 :rule cong :premises (@p152) :args (@t188)) % 0.35/0.74 (step @p154 :rule trans :premises (@p153 @p99)) % 0.35/0.74 (step @p155 :rule refl :args (@t175)) % 0.35/0.74 (step @p156 :rule refl :args (@t176)) % 0.35/0.74 (step @p157 :rule refl :args (@t180)) % 0.35/0.74 (step @p158 :rule refl :args (@t181)) % 0.35/0.74 (step @p159 :rule refl :args (@t155)) % 0.35/0.74 (step @p160 :rule eq-symm :args (@t178 @t136)) % 0.35/0.74 (step @p161 :rule cong :premises (@p160) :args (@t189)) % 0.35/0.74 (step @p162 :rule nary_cong :premises (@p112 @p111 @p110 @p161 @p159) :args (@t190)) % 0.35/0.74 (step @p163 :rule cong :premises (@p162) :args (@t191)) % 0.35/0.74 (step @p164 :rule cong :premises (@p163) :args (@t192)) % 0.35/0.74 (step @p165 :rule refl :args (@t183)) % 0.35/0.74 (step @p166 :rule refl :args (@t184)) % 0.35/0.74 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p158 @p157 @p156 @p155 @p154 @p151) :args (@t193)) % 0.35/0.74 (step @p168 :rule trans :premises (@p167 @p150)) % 0.35/0.74 (step @p169 :rule cong 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(@p423 @p431) :args ((or @t129 (not (and @t69 @t67 @t66))))) % 0.35/0.75 (step @p433 :rule bool-and-de-morgan :args (@t70 @t69 (and @t67 @t66))) % 0.35/0.75 (step @p434 :rule trans :premises (@p433 @p432)) % 0.35/0.75 (step @p435 :rule trans :premises (@p434 @p426)) % 0.35/0.75 (step @p436 :rule cong :premises (@p435) :args (@t368)) % 0.35/0.75 (step @p437 :rule cong :premises (@p436) :args (@t369)) % 0.35/0.75 (step @p438 :rule exists-elim :args ((= @t73 @t369))) % 0.35/0.75 (step @p439 :rule trans :premises (@p438 @p437)) % 0.35/0.75 (step @p440 :rule eq-symm :args (@t76 @t12)) % 0.35/0.75 (step @p441 :rule cong :premises (@p440) :args (@t77)) % 0.35/0.75 (step @p442 :rule eq-symm :args (@t80 @t10)) % 0.35/0.75 (step @p443 :rule cong :premises (@p442) :args (@t81)) % 0.35/0.75 (step @p444 :rule nary_cong :premises (@p443 @p441 @p439) :args (@t82)) % 0.35/0.75 (step @p445 :rule refl :args (@t83)) % 0.35/0.75 (step @p446 :rule cong :premises (@p445 @p444) :args (@t84)) % 0.35/0.75 (step @p447 :rule cong :premises (@p446) :args (@t86)) % 0.35/0.75 (step @p448 :rule trans :premises (@p447 @p419)) % 0.35/0.75 (step @p449 :rule refl :args (@t87)) % 0.35/0.75 (step @p450 :rule cong :premises (@p449 @p448) :args (@t88)) % 0.35/0.75 (step @p451 :rule cong :premises (@p450) :args (@t90)) % 0.35/0.75 (step @p452 :rule trans :premises (@p451 @p410)) % 0.35/0.75 (step @p453 :rule refl :args (@t91)) % 0.35/0.75 (step @p454 :rule cong :premises (@p453 @p452) :args (@t92)) % 0.35/0.75 (step @p455 :rule cong :premises (@p454) :args (@t94)) % 0.35/0.75 (step @p456 :rule trans :premises (@p455 @p386)) % 0.35/0.75 (step @p457 :rule aci_norm :args ((= @t371 @t198))) % 0.35/0.75 (step @p458 :rule cong :premises (@p457) :args (@t372)) % 0.35/0.75 (step @p459 :rule quant-merge-prenex :args ((= (forall @t33 @t374) @t372))) % 0.35/0.75 (step @p460 :rule alpha_equiv :args (@t375 (@list @t134 @t133) (@list @t27 @t376))) % 0.35/0.75 (step @p461 :rule refl :args (@t140)) % 0.35/0.75 (step @p462 :rule nary_cong :premises (@p461 @p460) :args (@t377)) % 0.35/0.75 (step @p463 :rule quant-miniscope-or :args ((= @t374 @t377))) % 0.35/0.75 (step @p464 :rule trans :premises (@p463 @p462)) % 0.35/0.75 (step @p465 :rule symm :premises (@p464)) % 0.35/0.75 (step @p466 :rule cong :premises (@p465) :args ((forall @t33 (or @t140 @t384)))) % 0.35/0.75 (step @p467 :rule trans :premises (@p466 @p459)) % 0.35/0.75 (step @p468 :rule trans :premises (@p467 @p458)) % 0.35/0.75 (step @p469 :rule bool-double-not-elim :args (@t384)) % 0.35/0.75 (step @p470 :rule nary_cong :premises (@p461 @p469) :args ((or @t140 (not @t385)))) % 0.35/0.75 (step @p471 :rule bool-and-de-morgan :args (@t106 @t385 true)) % 0.35/0.75 (step @p472 :rule trans :premises (@p471 @p470)) % 0.35/0.75 (step @p473 :rule cong :premises (@p472) :args (@t387)) % 0.35/0.75 (step @p474 :rule trans :premises (@p473 @p468)) % 0.35/0.75 (step @p475 :rule cong :premises (@p474) :args (@t388)) % 0.35/0.75 (step @p476 :rule exists-elim :args ((= (exists @t33 @t386) @t388))) % 0.35/0.75 (step @p477 :rule trans :premises (@p476 @p475)) % 0.35/0.75 (step @p478 :rule aci_norm :args ((= @t390 @t382))) % 0.35/0.75 (step @p479 :rule cong :premises (@p478) :args (@t391)) % 0.35/0.75 (step @p480 :rule quant-merge-prenex :args ((= (forall @t31 @t393) @t391))) % 0.35/0.75 (step @p481 :rule alpha_equiv :args (@t394 (@list @t376) (@list @t95))) % 0.35/0.75 (step @p482 :rule refl :args (@t381)) % 0.35/0.75 (step @p483 :rule nary_cong :premises (@p482 @p481) :args (@t395)) % 0.35/0.75 (step @p484 :rule quant-miniscope-or :args ((= @t393 @t395))) % 0.35/0.75 (step @p485 :rule trans :premises (@p484 @p483)) % 0.35/0.75 (step @p486 :rule symm :premises (@p485)) % 0.35/0.75 (step @p487 :rule cong :premises (@p486) :args ((forall @t31 (or @t381 @t402)))) % 0.35/0.75 (step @p488 :rule trans :premises (@p487 @p480)) % 0.35/0.75 (step @p489 :rule trans :premises (@p488 @p479)) % 0.35/0.75 (step @p490 :rule bool-double-not-elim :args (@t402)) % 0.35/0.75 (step @p491 :rule nary_cong :premises (@p482 @p490) :args ((or @t381 (not @t403)))) % 0.35/0.75 (step @p492 :rule bool-and-de-morgan :args (@t30 @t403 true)) % 0.35/0.75 (step @p493 :rule trans :premises (@p492 @p491)) % 0.35/0.75 (step @p494 :rule cong :premises (@p493) :args (@t405)) % 0.35/0.75 (step @p495 :rule trans :premises (@p494 @p489)) % 0.35/0.75 (step @p496 :rule cong :premises (@p495) :args (@t406)) % 0.35/0.75 (step @p497 :rule exists-elim :args ((= (exists @t31 @t404) @t406))) % 0.35/0.75 (step @p498 :rule trans :premises (@p497 @p496)) % 0.35/0.75 (step @p499 :rule aci_norm :args ((= (or @t400 (or @t399 @t397)) @t401))) % 0.35/0.75 (step @p500 :rule bool-and-de-morgan :args (@t398 @t396 true)) % 0.35/0.75 (step @p501 :rule refl :args (@t400)) % 0.35/0.75 (step @p502 :rule nary_cong :premises (@p501 @p500) :args ((or @t400 (not (and @t398 @t396))))) % 0.35/0.75 (step @p503 :rule bool-and-de-morgan :args (@t100 @t398 (and @t396))) % 0.35/0.75 (step @p504 :rule trans :premises (@p503 @p502)) % 0.35/0.75 (step @p505 :rule trans :premises (@p504 @p499)) % 0.35/0.75 (step @p506 :rule cong :premises (@p505) :args (@t408)) % 0.35/0.75 (step @p507 :rule cong :premises (@p506) :args (@t409)) % 0.35/0.75 (step @p508 :rule exists-elim :args ((= (exists @t102 @t407) @t409))) % 0.35/0.75 (step @p509 :rule trans :premises (@p508 @p507)) % 0.35/0.75 (step @p510 :rule eq-symm :args (@t96 @t2)) % 0.35/0.75 (step @p511 :rule eq-symm :args (@t99 @t1)) % 0.35/0.75 (step @p512 :rule refl :args (@t100)) % 0.35/0.75 (step @p513 :rule nary_cong :premises (@p512 @p511 @p510) :args (@t101)) % 0.35/0.75 (step @p514 :rule cong :premises (@p513) :args (@t103)) % 0.35/0.75 (step @p515 :rule trans :premises (@p514 @p509)) % 0.35/0.75 (step @p516 :rule refl :args (@t30)) % 0.35/0.75 (step @p517 :rule nary_cong :premises (@p516 @p515) :args (@t104)) % 0.35/0.75 (step @p518 :rule cong :premises (@p517) :args (@t105)) % 0.35/0.75 (step @p519 :rule trans :premises (@p518 @p498)) % 0.35/0.75 (step @p520 :rule refl :args (@t106)) % 0.35/0.75 (step @p521 :rule nary_cong :premises (@p520 @p519) :args (@t107)) % 0.35/0.75 (step @p522 :rule cong :premises (@p521) :args (@t108)) % 0.35/0.75 (step @p523 :rule trans :premises (@p522 @p477)) % 0.35/0.75 (step @p524 :rule nary_cong :premises (@p261 @p523 @p456) :args (@t109)) % 0.35/0.75 (step @p525 :rule nary_cong :premises (@p524 @p318) :args (@t110)) % 0.35/0.75 (step @p526 :rule nary_cong :premises (@p335 @p356 @p525) :args (@t113)) % 0.35/0.75 (step @p527 :rule refl :args (@t13)) % 0.35/0.75 (step @p528 :rule cong :premises (@p527 @p526) :args (@t114)) % 0.35/0.75 (step @p529 :rule cong :premises (@p528) :args (@t115)) % 0.35/0.75 (step @p530 :rule trans :premises (@p529 @p368)) % 0.35/0.75 (step @p531 :rule refl :args (@t15)) % 0.35/0.75 (step @p532 :rule cong :premises (@p531 @p530) :args (@t116)) % 0.35/0.75 (step @p533 :rule cong :premises (@p532) :args (@t117)) % 0.35/0.75 (step @p534 :rule trans :premises (@p533 @p274)) % 0.35/0.75 (step @p535 :rule refl :args (@t21)) % 0.35/0.75 (step @p536 :rule cong :premises (@p535 @p534) :args (@t118)) % 0.35/0.75 (step @p537 :rule cong :premises (@p536) :args (@t119)) % 0.35/0.75 (step @p538 :rule trans :premises (@p537 @p206)) % 0.35/0.75 (step @p539 :rule refl :args (@t17)) % 0.35/0.75 (step @p540 :rule cong :premises (@p539 @p538) :args (@t120)) % 0.35/0.75 (step @p541 :rule cong :premises (@p540) :args (@t121)) % 0.35/0.75 (step @p542 :rule trans :premises (@p541 @p149)) % 0.35/0.75 (step @p543 :rule cong :premises (@p542) :args (@t122)) % 0.35/0.75 (step @p544 :rule eq_resolve :premises (@p96 @p543)) % 0.35/0.75 (step @p545 :rule skolemize :premises (@p544)) % 0.35/0.75 (step @p546 :rule bool-double-not-elim :args (@t416)) % 0.35/0.75 (step @p547 :rule refl :args (@t424)) % 0.35/0.75 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t424 (not @t423)))) % 0.35/0.75 (step @p549 :rule cnf_or_neg :args (@t424 3)) % 0.35/0.75 (step @p550 :rule eq_resolve :premises (@p549 @p548)) % 0.35/0.75 (step @p551 :rule reordering :premises (@p550) :args ((or @t416 @t424))) % 0.35/0.75 (step @p552 :rule chain_m_resolution :premises (@p551 @p545) :args (@t416 @t425 @t426)) % 0.35/0.75 (step @p553 :rule bool-double-not-elim :args (@t417)) % 0.35/0.75 (step @p554 :rule nary_cong :premises (@p547 @p553) :args ((or @t424 (not @t418)))) % 0.35/0.75 (step @p555 :rule cnf_or_neg :args (@t424 7)) % 0.35/0.75 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 0.35/0.75 (step @p557 :rule reordering :premises (@p556) :args ((or @t417 @t424))) % 0.35/0.75 (step @p558 :rule chain_m_resolution :premises (@p557 @p545) :args (@t417 @t425 @t426)) % 0.35/0.75 (step @p559 :rule bool-double-not-elim :args (@t419)) % 0.35/0.75 (step @p560 :rule nary_cong :premises (@p547 @p559) :args ((or @t424 (not @t420)))) % 0.35/0.75 (step @p561 :rule cnf_or_neg :args (@t424 6)) % 0.35/0.75 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 0.35/0.75 (step @p563 :rule reordering :premises (@p562) :args ((or @t419 @t424))) % 0.35/0.75 (step @p564 :rule chain_m_resolution :premises (@p563 @p545) :args (@t419 @t425 @t426)) % 0.35/0.75 (step @p565 :rule bool-double-not-elim :args (@t421)) % 0.35/0.75 (step @p566 :rule nary_cong :premises (@p547 @p565) :args ((or @t424 (not @t422)))) % 0.35/0.75 (step @p567 :rule cnf_or_neg :args (@t424 4)) % 0.35/0.75 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.35/0.75 (step @p569 :rule reordering :premises (@p568) :args ((or @t421 @t424))) % 0.35/0.75 (step @p570 :rule chain_m_resolution :premises (@p569 @p545) :args (@t421 @t425 @t426)) % 0.35/0.75 (step @p571 :rule cnf_or_pos :args (@t427)) % 0.35/0.75 (step @p572 :rule reordering :premises (@p571) :args ((or @t422 @t420 @t418 @t428))) % 0.35/0.75 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p564 @p558) :args (@t428 (@list false false false) (@list @t421 @t419 @t417))) % 0.35/0.75 (step @p574 :rule aci_norm :args ((= (or @t422 @t420 @t418 false false) @t427))) % 0.35/0.75 (step @p575 :rule eq-refl :args (@t413)) % 0.35/0.75 (step @p576 :rule cong :premises (@p575) :args (@t429)) % 0.35/0.75 (step @p577 :rule trans :premises (@p576 @p99)) % 0.35/0.75 (step @p578 :rule eq-refl :args (@t415)) % 0.35/0.75 (step @p579 :rule cong :premises (@p578) :args (@t430)) % 0.35/0.75 (step @p580 :rule trans :premises (@p579 @p99)) % 0.35/0.75 (step @p581 :rule refl :args (@t418)) % 0.35/0.75 (step @p582 :rule refl :args (@t420)) % 0.35/0.75 (step @p583 :rule refl :args (@t422)) % 0.35/0.75 (step @p584 :rule nary_cong :premises (@p583 @p582 @p581 @p580 @p577) :args (@t431)) % 0.35/0.75 (step @p585 :rule trans :premises (@p584 @p574)) % 0.35/0.75 (step @p586 :rule refl :args (@t416)) % 0.35/0.75 (step @p587 :rule cong :premises (@p586 @p585) :args ((=> @t416 @t431))) % 0.35/0.75 (assume-push @p595 @t416) % 0.35/0.75 (step @p589 :rule instantiate :premises (@p552) :args ((@list @t414 @t412 @t411))) % 0.35/0.75 (step-pop @p596 :rule scope :premises (@p589)) % 0.35/0.75 (step @p590 :rule process_scope :premises (@p596) :args (@t431)) % 0.35/0.75 (step @p592 :rule eq_resolve :premises (@p590 @p587)) % 0.35/0.75 (step @p593 :rule implies_elim :premises (@p592)) % 0.35/0.75 (step @p594 false :rule chain_m_resolution :premises (@p593 @p573 @p552) :args (false (@list true false) (@list @t427 @t416))) % 0.35/0.75 ) % 0.35/0.75 % SZS output end Proof % 0.35/0.75 % cvc5 exiting %------------------------------------------------------------------------------