%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC363+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 : n009.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 08:59:01 AM UTC 2026 % Result : Theorem 64.83s 65.08s % Output : Proof 64.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWC363+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:43:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 64.83/65.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 64.83/65.08 --- Run --no-e-matching --full-saturate-quant at 6... % 64.83/65.08 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 64.83/65.08 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 64.83/65.08 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.83/65.08 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.83/65.08 % SZS status Theorem % 64.83/65.08 % SZS output start Proof % 64.83/65.08 ( % 64.83/65.08 (declare-sort $$unsorted 0) % 64.83/65.08 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 64.83/65.08 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 64.83/65.08 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 64.83/65.08 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 64.83/65.08 (declare-const tptp.nil $$unsorted) % 64.83/65.08 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.ssList (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 64.83/65.08 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 64.83/65.08 (define @t1 () (@var "V" $$unsorted)) % 64.83/65.08 (define @t2 () (@var "U" $$unsorted)) % 64.83/65.08 (define @t3 () (= @t2 @t1)) % 64.83/65.08 (define @t4 () (not @t3)) % 64.83/65.08 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 64.83/65.08 (define @t6 () (tptp.ssItem @t1)) % 64.83/65.08 (define @t7 () (@list @t1)) % 64.83/65.08 (define @t8 () (tptp.ssItem @t2)) % 64.83/65.08 (define @t9 () (@list @t2)) % 64.83/65.08 (define @t10 () (@var "X" $$unsorted)) % 64.83/65.08 (define @t11 () (tptp.cons @t1 @t10)) % 64.83/65.08 (define @t12 () (@var "W" $$unsorted)) % 64.83/65.08 (define @t13 () (tptp.app @t12 @t11)) % 64.83/65.08 (define @t14 () (tptp.ssList @t10)) % 64.83/65.08 (define @t15 () (and @t14 (= @t13 @t2))) % 64.83/65.08 (define @t16 () (@list @t10)) % 64.83/65.08 (define @t17 () (exists @t16 @t15)) % 64.83/65.08 (define @t18 () (tptp.ssList @t12)) % 64.83/65.08 (define @t19 () (and @t18 @t17)) % 64.83/65.08 (define @t20 () (@list @t12)) % 64.83/65.08 (define @t21 () (exists @t20 @t19)) % 64.83/65.08 (define @t22 () (tptp.memberP @t2 @t1)) % 64.83/65.08 (define @t23 () (= @t22 @t21)) % 64.83/65.08 (define @t24 () (=> @t6 @t23)) % 64.83/65.08 (define @t25 () (forall @t7 @t24)) % 64.83/65.08 (define @t26 () (tptp.ssList @t2)) % 64.83/65.08 (define @t27 () (=> @t26 @t25)) % 64.83/65.08 (define @t28 () (forall @t9 @t27)) % 64.83/65.08 (define @t29 () (tptp.cons @t1 tptp.nil)) % 64.83/65.08 (define @t30 () (tptp.app @t1 @t12)) % 64.83/65.08 (define @t31 () (tptp.frontsegP @t2 @t1)) % 64.83/65.08 (define @t32 () (tptp.ssList @t1)) % 64.83/65.08 (define @t33 () (tptp.app @t12 @t1)) % 64.83/65.08 (define @t34 () (tptp.rearsegP @t2 @t1)) % 64.83/65.08 (define @t35 () (tptp.segmentP @t2 @t1)) % 64.83/65.08 (define @t36 () (tptp.leq @t12 @t1)) % 64.83/65.08 (define @t37 () (tptp.leq @t1 @t12)) % 64.83/65.08 (define @t38 () (@var "Z" $$unsorted)) % 64.83/65.08 (define @t39 () (@var "Y" $$unsorted)) % 64.83/65.08 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 64.83/65.08 (define @t41 () (tptp.ssList @t38)) % 64.83/65.08 (define @t42 () (@list @t38)) % 64.83/65.08 (define @t43 () (tptp.ssList @t39)) % 64.83/65.08 (define @t44 () (@list @t39)) % 64.83/65.08 (define @t45 () (tptp.ssItem @t12)) % 64.83/65.08 (define @t46 () (tptp.lt @t1 @t12)) % 64.83/65.08 (define @t47 () (= @t1 @t12)) % 64.83/65.08 (define @t48 () (tptp.cons @t1 @t2)) % 64.83/65.08 (define @t49 () (tptp.ssList @t48)) % 64.83/65.08 (define @t50 () (forall @t7 (=> @t6 @t49))) % 64.83/65.08 (define @t51 () (=> @t26 @t50)) % 64.83/65.08 (define @t52 () (forall @t9 @t51)) % 64.83/65.08 (define @t53 () (tptp.ssList tptp.nil)) % 64.83/65.08 (define @t54 () (= @t1 @t2)) % 64.83/65.08 (define @t55 () (tptp.cons @t12 @t1)) % 64.83/65.08 (define @t56 () (= tptp.nil @t2)) % 64.83/65.08 (define @t57 () (tptp.hd @t2)) % 64.83/65.08 (define @t58 () (not @t56)) % 64.83/65.08 (define @t59 () (tptp.tl @t2)) % 64.83/65.08 (define @t60 () (tptp.app @t2 @t1)) % 64.83/65.08 (define @t61 () (tptp.app @t1 @t2)) % 64.83/65.08 (define @t62 () (tptp.app tptp.nil @t2)) % 64.83/65.08 (define @t63 () (=> @t26 (= @t62 @t2))) % 64.83/65.08 (define @t64 () (forall @t9 @t63)) % 64.83/65.08 (define @t65 () (tptp.leq @t1 @t2)) % 64.83/65.08 (define @t66 () (tptp.leq @t2 @t1)) % 64.83/65.08 (define @t67 () (tptp.geq @t2 @t1)) % 64.83/65.08 (define @t68 () (tptp.lt @t1 @t2)) % 64.83/65.08 (define @t69 () (tptp.lt @t2 @t1)) % 64.83/65.08 (define @t70 () (tptp.lt @t2 @t12)) % 64.83/65.08 (define @t71 () (tptp.gt @t2 @t1)) % 64.83/65.08 (define @t72 () (tptp.memberP @t12 @t2)) % 64.83/65.08 (define @t73 () (tptp.app @t12 @t2)) % 64.83/65.08 (define @t74 () (tptp.segmentP @t1 @t2)) % 64.83/65.08 (define @t75 () (tptp.segmentP @t2 @t2)) % 64.83/65.08 (define @t76 () (forall @t9 (=> @t26 @t75))) % 64.83/65.08 (define @t77 () (tptp.segmentP (tptp.app @t73 @t10) @t1)) % 64.83/65.08 (define @t78 () (=> @t35 @t77)) % 64.83/65.08 (define @t79 () (forall @t16 (=> @t14 @t78))) % 64.83/65.08 (define @t80 () (=> @t18 @t79)) % 64.83/65.08 (define @t81 () (forall @t20 @t80)) % 64.83/65.08 (define @t82 () (=> @t32 @t81)) % 64.83/65.08 (define @t83 () (forall @t7 @t82)) % 64.83/65.08 (define @t84 () (=> @t26 @t83)) % 64.83/65.08 (define @t85 () (forall @t9 @t84)) % 64.83/65.08 (define @t86 () (tptp.cons @t2 tptp.nil)) % 64.83/65.08 (define @t87 () (tptp.hd @t1)) % 64.83/65.08 (define @t88 () (= tptp.nil @t1)) % 64.83/65.08 (define @t89 () (not @t88)) % 64.83/65.08 (define @t90 () (tptp.cons @t2 @t1)) % 64.83/65.08 (define @t91 () (= @t12 @t2)) % 64.83/65.08 (define @t92 () (= @t48 (tptp.app @t29 @t2))) % 64.83/65.08 (define @t93 () (forall @t7 (=> @t6 @t92))) % 64.83/65.08 (define @t94 () (=> @t26 @t93)) % 64.83/65.08 (define @t95 () (forall @t9 @t94)) % 64.83/65.08 (define @t96 () (tptp.app @t2 tptp.nil)) % 64.83/65.08 (define @t97 () (=> @t26 (= @t96 @t2))) % 64.83/65.08 (define @t98 () (forall @t9 @t97)) % 64.83/65.08 (define @t99 () (tptp.neq @t10 tptp.nil)) % 64.83/65.08 (define @t100 () (not (tptp.memberP @t10 @t39))) % 64.83/65.08 (define @t101 () (tptp.cons @t39 tptp.nil)) % 64.83/65.08 (define @t102 () (not (= @t101 @t12))) % 64.83/65.08 (define @t103 () (or @t102 @t100)) % 64.83/65.08 (define @t104 () (tptp.ssItem @t39)) % 64.83/65.08 (define @t105 () (=> @t104 @t103)) % 64.83/65.08 (define @t106 () (forall @t44 @t105)) % 64.83/65.08 (define @t107 () (and @t106 @t99)) % 64.83/65.08 (define @t108 () (not (= tptp.nil @t12))) % 64.83/65.08 (define @t109 () (and @t108 (= tptp.nil @t10))) % 64.83/65.08 (define @t110 () (tptp.neq @t1 tptp.nil)) % 64.83/65.08 (define @t111 () (not @t110)) % 64.83/65.08 (define @t112 () (not (= @t2 @t12))) % 64.83/65.08 (define @t113 () (not (= @t1 @t10))) % 64.83/65.08 (define @t114 () (or @t113 @t112 @t111 @t74 @t109 @t107)) % 64.83/65.08 (define @t115 () (=> @t14 @t114)) % 64.83/65.08 (define @t116 () (forall @t16 @t115)) % 64.83/65.08 (define @t117 () (=> @t18 @t116)) % 64.83/65.08 (define @t118 () (forall @t20 @t117)) % 64.83/65.08 (define @t119 () (=> @t32 @t118)) % 64.83/65.08 (define @t120 () (forall @t7 @t119)) % 64.83/65.08 (define @t121 () (=> @t26 @t120)) % 64.83/65.08 (define @t122 () (forall @t9 @t121)) % 64.83/65.08 (define @t123 () (not @t122)) % 64.83/65.08 (define @t124 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 64.83/65.08 (define @t125 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 64.83/65.08 (define @t126 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 64.83/65.08 (define @t127 () (tptp.segmentP (tptp.app (tptp.app @t126 @t2) @t125) @t124)) % 64.83/65.08 (define @t128 () (not (tptp.ssList @t125))) % 64.83/65.08 (define @t129 () (not (tptp.ssList @t126))) % 64.83/65.08 (define @t130 () (not (tptp.segmentP @t2 @t124))) % 64.83/65.08 (define @t131 () (not (tptp.ssList @t124))) % 64.83/65.08 (define @t132 () (not @t26)) % 64.83/65.08 (define @t133 () (or @t131 @t130 @t129 @t128 @t127)) % 64.83/65.08 (define @t134 () (or @t132 @t133)) % 64.83/65.08 (define @t135 () (forall (@list @t2 @t124 @t126 @t125) @t134)) % 64.83/65.08 (define @t136 () (@list @t124 @t126 @t125)) % 64.83/65.08 (define @t137 () (forall @t136 @t134)) % 64.83/65.08 (define @t138 () (forall @t136 @t133)) % 64.83/65.08 (define @t139 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 64.83/65.08 (define @t140 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 64.83/65.08 (define @t141 () (or @t132 @t138)) % 64.83/65.08 (define @t142 () (tptp.segmentP (tptp.app (tptp.app @t140 @t2) @t139) @t1)) % 64.83/65.08 (define @t143 () (not (tptp.ssList @t139))) % 64.83/65.08 (define @t144 () (not (tptp.ssList @t140))) % 64.83/65.08 (define @t145 () (not @t35)) % 64.83/65.08 (define @t146 () (not @t32)) % 64.83/65.08 (define @t147 () (or @t146 @t145 @t144 @t143 @t142)) % 64.83/65.08 (define @t148 () (@list @t1 @t140 @t139)) % 64.83/65.08 (define @t149 () (forall @t148 @t147)) % 64.83/65.08 (define @t150 () (or @t144 @t143 @t142)) % 64.83/65.08 (define @t151 () (or @t146 @t145 @t150)) % 64.83/65.08 (define @t152 () (forall @t148 @t151)) % 64.83/65.08 (define @t153 () (@list @t140 @t139)) % 64.83/65.08 (define @t154 () (forall @t153 @t151)) % 64.83/65.08 (define @t155 () (forall @t153 @t150)) % 64.83/65.08 (define @t156 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 64.83/65.08 (define @t157 () (or @t146 @t145 @t155)) % 64.83/65.08 (define @t158 () (tptp.segmentP (tptp.app @t73 @t156) @t1)) % 64.83/65.08 (define @t159 () (not (tptp.ssList @t156))) % 64.83/65.08 (define @t160 () (not @t18)) % 64.83/65.08 (define @t161 () (or @t160 @t159 @t158)) % 64.83/65.08 (define @t162 () (@list @t12 @t156)) % 64.83/65.08 (define @t163 () (forall @t162 @t161)) % 64.83/65.08 (define @t164 () (or @t146 @t145 @t163)) % 64.83/65.08 (define @t165 () (or @t145 @t163)) % 64.83/65.08 (define @t166 () (or @t159 @t158)) % 64.83/65.08 (define @t167 () (or @t160 @t166)) % 64.83/65.08 (define @t168 () (forall @t162 @t167)) % 64.83/65.08 (define @t169 () (@list @t156)) % 64.83/65.08 (define @t170 () (forall @t169 @t167)) % 64.83/65.08 (define @t171 () (forall @t169 @t166)) % 64.83/65.08 (define @t172 () (@list @t10)) % 64.83/65.08 (define @t173 () (or @t160 @t171)) % 64.83/65.08 (define @t174 () (not @t14)) % 64.83/65.08 (define @t175 () (or @t174 @t77)) % 64.83/65.08 (define @t176 () (forall @t16 @t175)) % 64.83/65.08 (define @t177 () (or @t160 @t176)) % 64.83/65.08 (define @t178 () (forall @t20 @t177)) % 64.83/65.08 (define @t179 () (or @t145 @t178)) % 64.83/65.08 (define @t180 () (or @t145 @t177)) % 64.83/65.08 (define @t181 () (or @t160 @t145 @t176)) % 64.83/65.08 (define @t182 () (or @t145 @t176)) % 64.83/65.08 (define @t183 () (or @t145 @t175)) % 64.83/65.08 (define @t184 () (or @t174 @t145 @t77)) % 64.83/65.08 (define @t185 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 64.83/65.08 (define @t186 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 64.83/65.08 (define @t187 () (tptp.neq @t186 tptp.nil)) % 64.83/65.08 (define @t188 () (@var "BOUND_VARIABLE_11074" $$unsorted)) % 64.83/65.08 (define @t189 () (and (or (not (tptp.ssItem @t188)) (not (= @t2 (tptp.cons @t188 tptp.nil))) (not (tptp.memberP @t186 @t188))) @t187)) % 64.83/65.08 (define @t190 () (not (= @t2 tptp.nil))) % 64.83/65.08 (define @t191 () (tptp.segmentP @t186 @t2)) % 64.83/65.08 (define @t192 () (not @t187)) % 64.83/65.08 (define @t193 () (not (tptp.ssList @t186))) % 64.83/65.08 (define @t194 () (@list @t2 @t186 @t188)) % 64.83/65.08 (define @t195 () (forall @t194 (or @t132 @t193 @t192 @t191 (and @t190 (= tptp.nil @t186)) @t189))) % 64.83/65.08 (define @t196 () (@quantifiers_skolemize @t195 2)) % 64.83/65.08 (define @t197 () (@quantifiers_skolemize @t195 1)) % 64.83/65.08 (define @t198 () (not (tptp.ssList @t185))) % 64.83/65.08 (define @t199 () (@list @t12 @t185)) % 64.83/65.08 (define @t200 () (forall @t199 (or @t160 @t198 (not (= @t197 (tptp.app @t12 (tptp.cons @t196 @t185))))))) % 64.83/65.08 (define @t201 () (@quantifiers_skolemize @t200 1)) % 64.83/65.08 (define @t202 () (@quantifiers_skolemize @t195 0)) % 64.83/65.08 (define @t203 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 64.83/65.08 (define @t204 () (= (tptp.memberP @t2 @t203) (not (forall @t199 (or @t160 @t198 (not (= @t2 (tptp.app @t12 (tptp.cons @t203 @t185))))))))) % 64.83/65.08 (define @t205 () (not (tptp.ssItem @t203))) % 64.83/65.08 (define @t206 () (or @t205 @t204)) % 64.83/65.08 (define @t207 () (or @t132 @t206)) % 64.83/65.08 (define @t208 () (forall (@list @t2 @t203) @t207)) % 64.83/65.08 (define @t209 () (@list @t203)) % 64.83/65.08 (define @t210 () (forall @t209 @t207)) % 64.83/65.08 (define @t211 () (forall @t209 @t206)) % 64.83/65.08 (define @t212 () (@list @t1)) % 64.83/65.08 (define @t213 () (or @t132 @t211)) % 64.83/65.08 (define @t214 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t185))))) % 64.83/65.08 (define @t215 () (or @t160 @t198 @t214)) % 64.83/65.08 (define @t216 () (= @t22 (not (forall @t199 @t215)))) % 64.83/65.08 (define @t217 () (not @t6)) % 64.83/65.08 (define @t218 () (forall @t7 (or @t217 @t216))) % 64.83/65.08 (define @t219 () (or @t198 @t214)) % 64.83/65.08 (define @t220 () (or @t160 @t219)) % 64.83/65.08 (define @t221 () (forall @t199 @t220)) % 64.83/65.08 (define @t222 () (@list @t185)) % 64.83/65.08 (define @t223 () (forall @t222 @t220)) % 64.83/65.08 (define @t224 () (forall @t222 @t219)) % 64.83/65.08 (define @t225 () (or @t160 @t224)) % 64.83/65.08 (define @t226 () (= @t2 @t13)) % 64.83/65.08 (define @t227 () (forall @t16 (or @t174 (not @t226)))) % 64.83/65.08 (define @t228 () (not @t227)) % 64.83/65.08 (define @t229 () (and @t18 @t228)) % 64.83/65.08 (define @t230 () (forall @t20 (not @t229))) % 64.83/65.08 (define @t231 () (not @t230)) % 64.83/65.08 (define @t232 () (and @t14 @t226)) % 64.83/65.08 (define @t233 () (forall @t16 (not @t232))) % 64.83/65.08 (define @t234 () (not @t233)) % 64.83/65.08 (define @t235 () (and @t190 (= @t186 tptp.nil))) % 64.83/65.08 (define @t236 () (or @t132 @t193 @t192 @t191 @t235 @t189)) % 64.83/65.08 (define @t237 () (or @t193 @t192 @t191 @t235 @t189)) % 64.83/65.08 (define @t238 () (or @t132 @t237)) % 64.83/65.08 (define @t239 () (forall @t194 @t238)) % 64.83/65.08 (define @t240 () (@list @t186 @t188)) % 64.83/65.08 (define @t241 () (forall @t240 @t238)) % 64.83/65.08 (define @t242 () (forall @t240 @t237)) % 64.83/65.08 (define @t243 () (@var "BOUND_VARIABLE_11054" $$unsorted)) % 64.83/65.08 (define @t244 () (or @t132 @t242)) % 64.83/65.08 (define @t245 () (or (not (tptp.ssItem @t243)) (not (= @t2 (tptp.cons @t243 tptp.nil))) (not (tptp.memberP @t1 @t243)))) % 64.83/65.08 (define @t246 () (and @t245 @t110)) % 64.83/65.08 (define @t247 () (= @t1 tptp.nil)) % 64.83/65.08 (define @t248 () (and @t190 @t247)) % 64.83/65.08 (define @t249 () (or @t146 @t111 @t74 @t248 @t246)) % 64.83/65.08 (define @t250 () (forall (@list @t1 @t243) @t249)) % 64.83/65.08 (define @t251 () (or @t132 @t250)) % 64.83/65.08 (define @t252 () (@list @t243)) % 64.83/65.08 (define @t253 () (forall @t252 @t249)) % 64.83/65.08 (define @t254 () (forall @t252 @t110)) % 64.83/65.08 (define @t255 () (forall @t252 @t245)) % 64.83/65.08 (define @t256 () (@var "BOUND_VARIABLE_11029" $$unsorted)) % 64.83/65.08 (define @t257 () (@list @t256)) % 64.83/65.08 (define @t258 () (and @t255 @t254)) % 64.83/65.08 (define @t259 () (forall @t252 @t246)) % 64.83/65.08 (define @t260 () (or @t146 @t111 @t74 @t248 @t259)) % 64.83/65.08 (define @t261 () (and (forall (@list @t256) (or (not (tptp.ssItem @t256)) (not (= @t2 (tptp.cons @t256 tptp.nil))) (not (tptp.memberP @t1 @t256)))) @t110)) % 64.83/65.08 (define @t262 () (or @t146 @t111 @t74 @t248 @t261)) % 64.83/65.08 (define @t263 () (forall @t7 @t262)) % 64.83/65.08 (define @t264 () (or @t132 @t263)) % 64.83/65.08 (define @t265 () (or @t132 @t262)) % 64.83/65.08 (define @t266 () (or @t146 @t111 @t74 @t132 @t248 @t261)) % 64.83/65.08 (define @t267 () (or @t111 @t74 @t146 @t132 @t248 @t261)) % 64.83/65.08 (define @t268 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 64.83/65.08 (define @t269 () (@list @t268)) % 64.83/65.08 (define @t270 () (forall @t269 @t110)) % 64.83/65.08 (define @t271 () (not (tptp.memberP @t1 @t268))) % 64.83/65.08 (define @t272 () (tptp.cons @t268 tptp.nil)) % 64.83/65.08 (define @t273 () (not (tptp.ssItem @t268))) % 64.83/65.08 (define @t274 () (or @t273 (not (= @t2 @t272)) @t271)) % 64.83/65.08 (define @t275 () (forall @t269 @t274)) % 64.83/65.08 (define @t276 () (@list @t268)) % 64.83/65.08 (define @t277 () (and @t275 @t270)) % 64.83/65.08 (define @t278 () (and @t274 @t110)) % 64.83/65.08 (define @t279 () (forall @t269 @t278)) % 64.83/65.08 (define @t280 () (or @t132 @t248 @t279)) % 64.83/65.08 (define @t281 () (or @t132 @t248 @t278)) % 64.83/65.08 (define @t282 () (not (= @t2 @t2))) % 64.83/65.08 (define @t283 () (or @t132 @t282 @t248 @t278)) % 64.83/65.08 (define @t284 () (or @t273 (not (= @t12 @t272)) @t271)) % 64.83/65.08 (define @t285 () (and @t284 @t110)) % 64.83/65.08 (define @t286 () (not (= @t12 tptp.nil))) % 64.83/65.08 (define @t287 () (and @t286 @t247)) % 64.83/65.08 (define @t288 () (or @t112 @t160 @t112 @t287 @t285)) % 64.83/65.08 (define @t289 () (or @t160 @t112 @t287 @t285)) % 64.83/65.08 (define @t290 () (forall @t20 @t289)) % 64.83/65.08 (define @t291 () (forall @t269 @t290)) % 64.83/65.08 (define @t292 () (forall (@list @t268 @t12) @t289)) % 64.83/65.08 (define @t293 () (forall (@list @t12 @t268) @t289)) % 64.83/65.08 (define @t294 () (forall @t269 @t289)) % 64.83/65.08 (define @t295 () (forall @t269 @t284)) % 64.83/65.08 (define @t296 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 64.83/65.08 (define @t297 () (@list @t296)) % 64.83/65.08 (define @t298 () (and @t295 @t270)) % 64.83/65.08 (define @t299 () (forall @t269 @t285)) % 64.83/65.08 (define @t300 () (or @t160 @t112 @t287 @t299)) % 64.83/65.08 (define @t301 () (and (forall (@list @t296) (or (not (tptp.ssItem @t296)) (not (= @t12 (tptp.cons @t296 tptp.nil))) (not (tptp.memberP @t1 @t296)))) @t110)) % 64.83/65.08 (define @t302 () (or @t160 @t112 @t287 @t301)) % 64.83/65.08 (define @t303 () (forall @t20 @t302)) % 64.83/65.08 (define @t304 () (or @t111 @t74 @t146 @t303)) % 64.83/65.08 (define @t305 () (or @t111 @t74 @t146 @t302)) % 64.83/65.08 (define @t306 () (or @t160 @t112 @t111 @t74 @t146 @t287 @t301)) % 64.83/65.08 (define @t307 () (or @t112 @t111 @t74 @t146 @t287 @t301)) % 64.83/65.08 (define @t308 () (@var "BOUND_VARIABLE_10948" $$unsorted)) % 64.83/65.08 (define @t309 () (@list @t308)) % 64.83/65.08 (define @t310 () (forall @t309 @t110)) % 64.83/65.08 (define @t311 () (not (= @t12 (tptp.cons @t308 tptp.nil)))) % 64.83/65.08 (define @t312 () (not (tptp.ssItem @t308))) % 64.83/65.08 (define @t313 () (or @t312 @t311 (not (tptp.memberP @t1 @t308)))) % 64.83/65.08 (define @t314 () (forall @t309 @t313)) % 64.83/65.08 (define @t315 () (@list @t308)) % 64.83/65.08 (define @t316 () (and @t314 @t310)) % 64.83/65.08 (define @t317 () (and @t313 @t110)) % 64.83/65.08 (define @t318 () (forall @t309 @t317)) % 64.83/65.08 (define @t319 () (or @t146 @t287 @t318)) % 64.83/65.08 (define @t320 () (or @t146 @t287 @t317)) % 64.83/65.08 (define @t321 () (not (= @t1 @t1))) % 64.83/65.08 (define @t322 () (or @t146 @t321 @t287 @t317)) % 64.83/65.08 (define @t323 () (or @t312 @t311 (not (tptp.memberP @t10 @t308)))) % 64.83/65.08 (define @t324 () (and @t323 @t99)) % 64.83/65.08 (define @t325 () (and @t286 (= @t10 tptp.nil))) % 64.83/65.08 (define @t326 () (or @t113 @t174 @t113 @t325 @t324)) % 64.83/65.08 (define @t327 () (or @t174 @t113 @t325 @t324)) % 64.83/65.08 (define @t328 () (forall @t16 @t327)) % 64.83/65.08 (define @t329 () (forall @t309 @t328)) % 64.83/65.08 (define @t330 () (forall (@list @t308 @t10) @t327)) % 64.83/65.08 (define @t331 () (forall (@list @t10 @t308) @t327)) % 64.83/65.08 (define @t332 () (forall @t309 @t327)) % 64.83/65.08 (define @t333 () (forall @t309 @t99)) % 64.83/65.08 (define @t334 () (forall @t309 @t323)) % 64.83/65.08 (define @t335 () (and @t334 @t333)) % 64.83/65.08 (define @t336 () (forall @t309 @t324)) % 64.83/65.08 (define @t337 () (or @t174 @t113 @t325 @t336)) % 64.83/65.08 (define @t338 () (not (= @t12 @t101))) % 64.83/65.08 (define @t339 () (not @t104)) % 64.83/65.08 (define @t340 () (or @t339 @t338 @t100)) % 64.83/65.08 (define @t341 () (and (forall @t44 @t340) @t99)) % 64.83/65.08 (define @t342 () (or @t174 @t113 @t325 @t341)) % 64.83/65.08 (define @t343 () (forall @t16 @t342)) % 64.83/65.08 (define @t344 () (or @t112 @t111 @t74 @t343)) % 64.83/65.08 (define @t345 () (or @t112 @t111 @t74 @t342)) % 64.83/65.08 (define @t346 () (or @t174 @t113 @t112 @t111 @t74 @t325 @t341)) % 64.83/65.08 (define @t347 () (or @t113 @t112 @t111 @t74 @t325 @t341)) % 64.83/65.08 (define @t348 () (or @t338 @t100)) % 64.83/65.08 (define @t349 () (tptp.neq @t197 tptp.nil)) % 64.83/65.08 (define @t350 () (tptp.memberP @t197 @t196)) % 64.83/65.08 (define @t351 () (not @t350)) % 64.83/65.08 (define @t352 () (tptp.cons @t196 tptp.nil)) % 64.83/65.08 (define @t353 () (= @t202 @t352)) % 64.83/65.08 (define @t354 () (not @t353)) % 64.83/65.08 (define @t355 () (tptp.ssItem @t196)) % 64.83/65.08 (define @t356 () (not @t355)) % 64.83/65.08 (define @t357 () (or @t356 @t354 @t351)) % 64.83/65.08 (define @t358 () (and @t357 @t349)) % 64.83/65.08 (define @t359 () (= tptp.nil @t197)) % 64.83/65.08 (define @t360 () (tptp.segmentP @t197 @t202)) % 64.83/65.08 (define @t361 () (not @t349)) % 64.83/65.08 (define @t362 () (tptp.ssList @t197)) % 64.83/65.08 (define @t363 () (not @t362)) % 64.83/65.08 (define @t364 () (tptp.ssList @t202)) % 64.83/65.08 (define @t365 () (not @t364)) % 64.83/65.08 (define @t366 () (or @t365 @t363 @t361 @t360 (and (not (= tptp.nil @t202)) @t359) @t358)) % 64.83/65.08 (define @t367 () (not @t366)) % 64.83/65.08 (define @t368 () (not @t195)) % 64.83/65.08 (define @t369 () (not (= @t202 tptp.nil))) % 64.83/65.08 (define @t370 () (and @t369 @t359)) % 64.83/65.08 (define @t371 () (or @t365 @t363 @t361 @t360 @t370 @t358)) % 64.83/65.08 (define @t372 () (not @t371)) % 64.83/65.08 (define @t373 () (@list true)) % 64.83/65.08 (define @t374 () (@list @t366)) % 64.83/65.08 (define @t375 () (not @t357)) % 64.83/65.08 (define @t376 () (@list @t357)) % 64.83/65.08 (define @t377 () (not @t200)) % 64.83/65.08 (define @t378 () (= @t350 @t377)) % 64.83/65.08 (define @t379 () (or @t363 @t356 @t378)) % 64.83/65.08 (define @t380 () (@list false false false)) % 64.83/65.08 (define @t381 () (@list false false)) % 64.83/65.08 (define @t382 () (tptp.ssList @t201)) % 64.83/65.08 (define @t383 () (tptp.cons @t196 @t201)) % 64.83/65.08 (define @t384 () (@quantifiers_skolemize @t200 0)) % 64.83/65.08 (define @t385 () (tptp.app @t384 @t383)) % 64.83/65.08 (define @t386 () (= @t197 @t385)) % 64.83/65.08 (define @t387 () (not @t386)) % 64.83/65.08 (define @t388 () (not @t382)) % 64.83/65.08 (define @t389 () (tptp.ssList @t384)) % 64.83/65.08 (define @t390 () (not @t389)) % 64.83/65.08 (define @t391 () (or @t390 @t388 @t387)) % 64.83/65.08 (define @t392 () (@list @t391)) % 64.83/65.08 (define @t393 () (@list @t202)) % 64.83/65.08 (define @t394 () (tptp.segmentP @t202 @t202)) % 64.83/65.08 (define @t395 () (or @t365 @t394)) % 64.83/65.08 (define @t396 () (tptp.app tptp.nil @t202)) % 64.83/65.08 (define @t397 () (tptp.segmentP (tptp.app @t396 @t201) @t202)) % 64.83/65.08 (define @t398 () (not @t53)) % 64.83/65.08 (define @t399 () (not @t394)) % 64.83/65.08 (define @t400 () (or @t365 @t365 @t399 @t398 @t388 @t397)) % 64.83/65.08 (define @t401 () (= @t2 @t62)) % 64.83/65.08 (define @t402 () (= @t202 @t396)) % 64.83/65.08 (define @t403 () (or @t365 @t402)) % 64.83/65.08 (define @t404 () (tptp.app @t352 @t201)) % 64.83/65.08 (define @t405 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 64.83/65.08 (define @t406 () (= (tptp.cons @t405 @t2) (tptp.app (tptp.cons @t405 tptp.nil) @t2))) % 64.83/65.08 (define @t407 () (not (tptp.ssItem @t405))) % 64.83/65.08 (define @t408 () (or @t407 @t406)) % 64.83/65.08 (define @t409 () (or @t132 @t408)) % 64.83/65.08 (define @t410 () (forall (@list @t2 @t405) @t409)) % 64.83/65.08 (define @t411 () (@list @t405)) % 64.83/65.08 (define @t412 () (forall @t411 @t409)) % 64.83/65.08 (define @t413 () (forall @t411 @t408)) % 64.83/65.08 (define @t414 () (or @t132 @t413)) % 64.83/65.08 (define @t415 () (forall @t7 (or @t217 @t92))) % 64.83/65.08 (define @t416 () (@list @t201 @t196)) % 64.83/65.08 (define @t417 () (= @t383 @t404)) % 64.83/65.08 (define @t418 () (or @t388 @t356 @t417)) % 64.83/65.08 (define @t419 () (tptp.segmentP @t383 @t202)) % 64.83/65.08 (define @t420 () (= @t2 @t96)) % 64.83/65.08 (define @t421 () (= @t197 (tptp.app @t197 tptp.nil))) % 64.83/65.08 (define @t422 () (or @t363 @t421)) % 64.83/65.08 (define @t423 () (tptp.app @t385 tptp.nil)) % 64.83/65.08 (define @t424 () (tptp.segmentP @t423 @t202)) % 64.83/65.08 (define @t425 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 64.83/65.08 (define @t426 () (tptp.ssList (tptp.cons @t425 @t2))) % 64.83/65.08 (define @t427 () (not (tptp.ssItem @t425))) % 64.83/65.08 (define @t428 () (or @t427 @t426)) % 64.83/65.08 (define @t429 () (or @t132 @t428)) % 64.83/65.08 (define @t430 () (forall (@list @t2 @t425) @t429)) % 64.83/65.08 (define @t431 () (@list @t425)) % 64.83/65.08 (define @t432 () (forall @t431 @t429)) % 64.83/65.08 (define @t433 () (forall @t431 @t428)) % 64.83/65.08 (define @t434 () (or @t132 @t433)) % 64.83/65.08 (define @t435 () (forall @t7 (or @t217 @t49))) % 64.83/65.08 (define @t436 () (tptp.ssList @t383)) % 64.83/65.08 (define @t437 () (or @t388 @t356 @t436)) % 64.83/65.08 (define @t438 () (not @t419)) % 64.83/65.08 (define @t439 () (not @t436)) % 64.83/65.08 (define @t440 () (or @t439 @t365 @t438 @t390 @t398 @t424)) % 64.83/65.08 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 64.83/65.08 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 64.83/65.08 (assume @p3 @t28) % 64.83/65.08 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 64.83/65.08 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 64.83/65.08 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 64.83/65.08 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 64.83/65.08 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 64.83/65.08 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 64.83/65.08 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 64.83/65.08 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 64.83/65.08 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 64.83/65.08 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 64.83/65.08 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 64.83/65.08 (assume @p15 (forall @t9 (=> @t26 (forall @t7 (=> @t32 @t5))))) % 64.83/65.08 (assume @p16 @t52) % 64.83/65.08 (assume @p17 @t53) % 64.83/65.08 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 64.83/65.08 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t54))))))))))) % 64.83/65.08 (assume @p20 (forall @t9 (=> @t26 (or @t56 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t55 @t2))))))))) % 64.83/65.08 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 64.83/65.08 (assume @p22 (forall @t9 (=> @t26 (=> @t58 (tptp.ssItem @t57))))) % 64.83/65.08 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 64.83/65.08 (assume @p24 (forall @t9 (=> @t26 (=> @t58 (tptp.ssList @t59))))) % 64.83/65.08 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 64.83/65.08 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t60)))))) % 64.83/65.08 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t61) (tptp.app @t55 @t2))))))))) % 64.83/65.08 (assume @p28 @t64) % 64.83/65.08 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 @t65) @t3)))))) % 64.83/65.08 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t66 @t37) (tptp.leq @t2 @t12))))))))) % 64.83/65.08 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 64.83/65.08 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t65)))))) % 64.83/65.08 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not @t68))))))) % 64.83/65.08 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t69 @t46) @t70)))))))) % 64.83/65.08 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 @t68)))))) % 64.83/65.08 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t72))))))))) % 64.83/65.08 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t72))))))))) % 64.83/65.08 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 64.83/65.08 (assume @p39 (not (tptp.singletonP tptp.nil))) % 64.83/65.08 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 64.83/65.08 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 64.83/65.08 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 64.83/65.08 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 64.83/65.08 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 64.83/65.08 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 64.83/65.08 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t56)))) % 64.83/65.08 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 64.83/65.08 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 64.83/65.08 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 64.83/65.08 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t73 @t1))))))))) % 64.83/65.08 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 64.83/65.08 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t56)))) % 64.83/65.08 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 64.83/65.08 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 @t74) @t3)))))) % 64.83/65.08 (assume @p55 @t76) % 64.83/65.08 (assume @p56 @t85) % 64.83/65.08 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 64.83/65.08 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t56)))) % 64.83/65.08 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t86)))) % 64.83/65.08 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 64.83/65.08 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t86)))) % 64.83/65.08 (assume @p62 (tptp.totalorderP tptp.nil)) % 64.83/65.08 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t86)))) % 64.83/65.08 (assume @p64 (tptp.strictorderP tptp.nil)) % 64.83/65.08 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t86)))) % 64.83/65.08 (assume @p66 (tptp.totalorderedP tptp.nil)) % 64.83/65.08 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t90) (or @t88 (and @t89 (tptp.totalorderedP @t1) (tptp.leq @t2 @t87))))))))) % 64.83/65.08 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t86)))) % 64.83/65.08 (assume @p69 (tptp.strictorderedP tptp.nil)) % 64.83/65.08 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t90) (or @t88 (and @t89 (tptp.strictorderedP @t1) (tptp.lt @t2 @t87))))))))) % 64.83/65.08 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t86)))) % 64.83/65.08 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 64.83/65.08 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t86)))) % 64.83/65.08 (assume @p74 (tptp.equalelemsP tptp.nil)) % 64.83/65.08 (assume @p75 (forall @t9 (=> @t26 (=> @t58 (exists @t7 (and @t6 (= @t57 @t1))))))) % 64.83/65.08 (assume @p76 (forall @t9 (=> @t26 (=> @t58 (exists @t7 (and @t32 (= @t59 @t1))))))) % 64.83/65.08 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t89 @t58 (= @t87 @t57) (= (tptp.tl @t1) @t59)) @t54)))))) % 64.83/65.08 (assume @p78 (forall @t9 (=> @t26 (=> @t58 (= (tptp.cons @t57 @t59) @t2))))) % 64.83/65.08 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t60) @t91)))))))) % 64.83/65.08 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t61) @t91)))))))) % 64.83/65.08 (assume @p81 @t95) % 64.83/65.08 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t60 @t12) (tptp.app @t2 @t30))))))))) % 64.83/65.08 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t60) (and @t88 @t56))))))) % 64.83/65.08 (assume @p84 @t98) % 64.83/65.08 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t58 (= (tptp.hd @t60) @t57))))))) % 64.83/65.08 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t58 (= (tptp.tl @t60) (tptp.app @t59 @t1)))))))) % 64.83/65.08 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 (tptp.geq @t1 @t2)) @t3)))))) % 64.83/65.08 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t67 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 64.83/65.08 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 64.83/65.08 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 64.83/65.08 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t66 @t46) @t70)))))))) % 64.83/65.08 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (or @t3 @t69))))))) % 64.83/65.08 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 (and @t4 @t66))))))) % 64.83/65.08 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (not (tptp.gt @t1 @t2)))))))) % 64.83/65.08 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t71 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 64.83/65.08 (assume @p96 @t123) % 64.83/65.08 (assume @p97 true) % 64.83/65.08 (step @p98 :rule evaluate :args ((= false true))) % 64.83/65.08 (step @p99 :rule aci_norm :args ((= @t134 (or @t132 @t131 @t130 @t129 @t128 @t127)))) % 64.83/65.08 (step @p100 :rule cong :premises (@p99) :args (@t135)) % 64.83/65.08 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t137) @t135))) % 64.83/65.08 (step @p102 :rule alpha_equiv :args (@t138 (@list @t124 @t126 @t125) (@list @t1 @t140 @t139))) % 64.83/65.08 (step @p103 :rule refl :args (@t132)) % 64.83/65.08 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t141)) % 64.83/65.08 (step @p105 :rule quant-miniscope-or :args ((= @t137 @t141))) % 64.83/65.08 (step @p106 :rule trans :premises (@p105 @p104)) % 64.83/65.08 (step @p107 :rule symm :premises (@p106)) % 64.83/65.08 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t132 @t149)))) % 64.83/65.08 (step @p109 :rule trans :premises (@p108 @p101)) % 64.83/65.08 (step @p110 :rule trans :premises (@p109 @p100)) % 64.83/65.08 (step @p111 :rule bool-impl-elim :args (@t26 @t149)) % 64.83/65.08 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t26 @t149)))) % 64.83/65.08 (step @p113 :rule trans :premises (@p112 @p110)) % 64.83/65.08 (step @p114 :rule aci_norm :args ((= @t151 @t147))) % 64.83/65.08 (step @p115 :rule cong :premises (@p114) :args (@t152)) % 64.83/65.08 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t154) @t152))) % 64.83/65.08 (step @p117 :rule alpha_equiv :args (@t155 (@list @t140 @t139) (@list @t12 @t156))) % 64.83/65.08 (step @p118 :rule refl :args (@t145)) % 64.83/65.08 (step @p119 :rule refl :args (@t146)) % 64.83/65.08 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t157)) % 64.83/65.08 (step @p121 :rule quant-miniscope-or :args ((= @t154 @t157))) % 64.83/65.08 (step @p122 :rule trans :premises (@p121 @p120)) % 64.83/65.08 (step @p123 :rule symm :premises (@p122)) % 64.83/65.08 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t164))) % 64.83/65.08 (step @p125 :rule trans :premises (@p124 @p116)) % 64.83/65.08 (step @p126 :rule trans :premises (@p125 @p115)) % 64.83/65.08 (step @p127 :rule aci_norm :args ((= (or @t146 @t165) @t164))) % 64.83/65.08 (step @p128 :rule bool-impl-elim :args (@t32 @t165)) % 64.83/65.08 (step @p129 :rule trans :premises (@p128 @p127)) % 64.83/65.08 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t32 @t165)))) % 64.83/65.08 (step @p131 :rule trans :premises (@p130 @p126)) % 64.83/65.08 (step @p132 :rule aci_norm :args ((= @t167 @t161))) % 64.83/65.08 (step @p133 :rule cong :premises (@p132) :args (@t168)) % 64.83/65.08 (step @p134 :rule quant-merge-prenex :args ((= (forall @t20 @t170) @t168))) % 64.83/65.08 (step @p135 :rule alpha_equiv :args (@t171 (@list @t156) @t172)) % 64.83/65.08 (step @p136 :rule refl :args (@t160)) % 64.83/65.08 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t173)) % 64.83/65.08 (step @p138 :rule quant-miniscope-or :args ((= @t170 @t173))) % 64.83/65.08 (step @p139 :rule trans :premises (@p138 @p137)) % 64.83/65.08 (step @p140 :rule symm :premises (@p139)) % 64.83/65.08 (step @p141 :rule cong :premises (@p140) :args (@t178)) % 64.83/65.08 (step @p142 :rule trans :premises (@p141 @p134)) % 64.83/65.08 (step @p143 :rule trans :premises (@p142 @p133)) % 64.83/65.08 (step @p144 :rule refl :args (@t145)) % 64.83/65.08 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t179)) % 64.83/65.08 (step @p146 :rule quant-miniscope-or :args ((= (forall @t20 @t180) @t179))) % 64.83/65.08 (step @p147 :rule aci_norm :args ((= @t181 @t180))) % 64.83/65.08 (step @p148 :rule cong :premises (@p147) :args ((forall @t20 @t181))) % 64.83/65.08 (step @p149 :rule trans :premises (@p148 @p146)) % 64.83/65.08 (step @p150 :rule trans :premises (@p149 @p145)) % 64.83/65.08 (step @p151 :rule aci_norm :args ((= (or @t160 @t182) @t181))) % 64.83/65.08 (step @p152 :rule bool-impl-elim :args (@t18 @t182)) % 64.83/65.08 (step @p153 :rule trans :premises (@p152 @p151)) % 64.83/65.08 (step @p154 :rule cong :premises (@p153) :args ((forall @t20 (=> @t18 @t182)))) % 64.83/65.08 (step @p155 :rule trans :premises (@p154 @p150)) % 64.83/65.08 (step @p156 :rule quant-miniscope-or :args ((= (forall @t16 @t183) @t182))) % 64.83/65.08 (step @p157 :rule aci_norm :args ((= @t184 @t183))) % 64.83/65.08 (step @p158 :rule cong :premises (@p157) :args ((forall @t16 @t184))) % 64.83/65.08 (step @p159 :rule trans :premises (@p158 @p156)) % 64.83/65.08 (step @p160 :rule aci_norm :args ((= (or @t174 (or @t145 @t77)) @t184))) % 64.83/65.08 (step @p161 :rule bool-impl-elim :args (@t35 @t77)) % 64.83/65.08 (step @p162 :rule refl :args (@t174)) % 64.83/65.08 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t174 @t78))) % 64.83/65.08 (step @p164 :rule trans :premises (@p163 @p160)) % 64.83/65.08 (step @p165 :rule bool-impl-elim :args (@t14 @t78)) % 64.83/65.08 (step @p166 :rule trans :premises (@p165 @p164)) % 64.83/65.08 (step @p167 :rule cong :premises (@p166) :args (@t79)) % 64.83/65.08 (step @p168 :rule trans :premises (@p167 @p159)) % 64.83/65.08 (step @p169 :rule refl :args (@t18)) % 64.83/65.08 (step @p170 :rule cong :premises (@p169 @p168) :args (@t80)) % 64.83/65.08 (step @p171 :rule cong :premises (@p170) :args (@t81)) % 64.83/65.08 (step @p172 :rule trans :premises (@p171 @p155)) % 64.83/65.08 (step @p173 :rule refl :args (@t32)) % 64.83/65.08 (step @p174 :rule cong :premises (@p173 @p172) :args (@t82)) % 64.83/65.08 (step @p175 :rule cong :premises (@p174) :args (@t83)) % 64.83/65.08 (step @p176 :rule trans :premises (@p175 @p131)) % 64.83/65.08 (step @p177 :rule refl :args (@t26)) % 64.83/65.08 (step @p178 :rule cong :premises (@p177 @p176) :args (@t84)) % 64.83/65.08 (step @p179 :rule cong :premises (@p178) :args (@t85)) % 64.83/65.08 (step @p180 :rule trans :premises (@p179 @p113)) % 64.83/65.08 (step @p181 :rule eq_resolve :premises (@p56 @p180)) % 64.83/65.08 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t202 @t202 tptp.nil @t201))) % 64.83/65.08 (step @p183 :rule aci_norm :args ((= @t207 (or @t132 @t205 @t204)))) % 64.83/65.08 (step @p184 :rule cong :premises (@p183) :args (@t208)) % 64.83/65.08 (step @p185 :rule quant-merge-prenex :args ((= (forall @t9 @t210) @t208))) % 64.83/65.08 (step @p186 :rule alpha_equiv :args (@t211 (@list @t203) @t212)) % 64.83/65.08 (step @p187 :rule nary_cong :premises (@p103 @p186) :args (@t213)) % 64.83/65.08 (step @p188 :rule quant-miniscope-or :args ((= @t210 @t213))) % 64.83/65.08 (step @p189 :rule trans :premises (@p188 @p187)) % 64.83/65.08 (step @p190 :rule symm :premises (@p189)) % 64.83/65.08 (step @p191 :rule cong :premises (@p190) :args ((forall @t9 (or @t132 @t218)))) % 64.83/65.08 (step @p192 :rule trans :premises (@p191 @p185)) % 64.83/65.08 (step @p193 :rule trans :premises (@p192 @p184)) % 64.83/65.08 (step @p194 :rule bool-impl-elim :args (@t26 @t218)) % 64.83/65.09 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t26 @t218)))) % 64.83/65.09 (step @p196 :rule trans :premises (@p195 @p193)) % 64.83/65.09 (step @p197 :rule bool-impl-elim :args (@t6 @t216)) % 64.83/65.09 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 (=> @t6 @t216)))) % 64.83/65.09 (step @p199 :rule aci_norm :args ((= @t220 @t215))) % 64.83/65.09 (step @p200 :rule cong :premises (@p199) :args (@t221)) % 64.83/65.09 (step @p201 :rule quant-merge-prenex :args ((= (forall @t20 @t223) @t221))) % 64.83/65.09 (step @p202 :rule alpha_equiv :args (@t224 (@list @t185) @t172)) % 64.83/65.09 (step @p203 :rule nary_cong :premises (@p136 @p202) :args (@t225)) % 64.83/65.09 (step @p204 :rule quant-miniscope-or :args ((= @t223 @t225))) % 64.83/65.09 (step @p205 :rule trans :premises (@p204 @p203)) % 64.83/65.09 (step @p206 :rule symm :premises (@p205)) % 64.83/65.09 (step @p207 :rule cong :premises (@p206) :args ((forall @t20 (or @t160 @t227)))) % 64.83/65.09 (step @p208 :rule trans :premises (@p207 @p201)) % 64.83/65.09 (step @p209 :rule trans :premises (@p208 @p200)) % 64.83/65.09 (step @p210 :rule bool-double-not-elim :args (@t227)) % 64.83/65.09 (step @p211 :rule nary_cong :premises (@p136 @p210) :args ((or @t160 (not @t228)))) % 64.83/65.09 (step @p212 :rule bool-and-de-morgan :args (@t18 @t228 true)) % 64.83/65.09 (step @p213 :rule trans :premises (@p212 @p211)) % 64.83/65.09 (step @p214 :rule cong :premises (@p213) :args (@t230)) % 64.83/65.09 (step @p215 :rule trans :premises (@p214 @p209)) % 64.83/65.09 (step @p216 :rule cong :premises (@p215) :args (@t231)) % 64.83/65.09 (step @p217 :rule exists-elim :args ((= (exists @t20 @t229) @t231))) % 64.83/65.09 (step @p218 :rule trans :premises (@p217 @p216)) % 64.83/65.09 (step @p219 :rule bool-and-de-morgan :args (@t14 @t226 true)) % 64.83/65.09 (step @p220 :rule cong :premises (@p219) :args (@t233)) % 64.83/65.09 (step @p221 :rule cong :premises (@p220) :args (@t234)) % 64.83/65.09 (step @p222 :rule exists-elim :args ((= (exists @t16 @t232) @t234))) % 64.83/65.09 (step @p223 :rule trans 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(step @p479 :rule cnf_or_neg :args (@t366 5)) % 64.83/65.09 (step @p480 :rule chain_m_resolution :premises (@p479 @p478) :args ((not @t358) @t373 @t374)) % 64.83/65.09 (step @p481 :rule bool-double-not-elim :args (@t349)) % 64.83/65.09 (step @p482 :rule refl :args (@t366)) % 64.83/65.09 (step @p483 :rule nary_cong :premises (@p482 @p481) :args ((or @t366 (not @t361)))) % 64.83/65.09 (step @p484 :rule cnf_or_neg :args (@t366 2)) % 64.83/65.09 (step @p485 :rule eq_resolve :premises (@p484 @p483)) % 64.83/65.09 (step @p486 :rule reordering :premises (@p485) :args ((or @t349 @t366))) % 64.83/65.09 (step @p487 :rule chain_m_resolution :premises (@p486 @p478) :args (@t349 @t373 @t374)) % 64.83/65.09 (step @p488 :rule cnf_and_neg :args (@t358)) % 64.83/65.09 (step @p489 :rule reordering :premises (@p488) :args ((or @t361 @t358 @t375))) % 64.83/65.09 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p480) :args (@t375 (@list false true) (@list @t349 @t358))) % 64.83/65.09 (step @p491 :rule bool-double-not-elim :args (@t355)) % 64.83/65.09 (step @p492 :rule refl :args (@t357)) % 64.83/65.09 (step @p493 :rule nary_cong :premises (@p492 @p491) :args ((or @t357 (not @t356)))) % 64.83/65.09 (step @p494 :rule cnf_or_neg :args (@t357 0)) % 64.83/65.09 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 64.83/65.09 (step @p496 :rule reordering :premises (@p495) :args ((or @t355 @t357))) % 64.83/65.09 (step @p497 :rule chain_m_resolution :premises (@p496 @p490) :args (@t355 @t373 @t376)) % 64.83/65.09 (step @p498 :rule bool-double-not-elim :args (@t362)) % 64.83/65.09 (step @p499 :rule nary_cong :premises (@p482 @p498) :args ((or @t366 (not @t363)))) % 64.83/65.09 (step @p500 :rule cnf_or_neg :args (@t366 1)) % 64.83/65.09 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 64.83/65.09 (step @p502 :rule reordering :premises (@p501) :args ((or @t362 @t366))) % 64.83/65.09 (step @p503 :rule chain_m_resolution :premises (@p502 @p478) :args (@t362 @t373 @t374)) % 64.83/65.09 (step @p504 :rule cnf_or_pos :args (@t379)) % 64.83/65.09 (step @p505 :rule reordering :premises (@p504) :args ((or @t363 @t356 @t378 (not @t379)))) % 64.83/65.09 (step @p506 :rule chain_m_resolution :premises (@p505 @p503 @p497 @p242) :args (@t378 @t380 (@list @t362 @t355 @t379))) % 64.83/65.09 (step @p507 :rule bool-double-not-elim :args (@t350)) % 64.83/65.09 (step @p508 :rule nary_cong :premises (@p492 @p507) :args ((or @t357 (not @t351)))) % 64.83/65.09 (step @p509 :rule cnf_or_neg :args (@t357 2)) % 64.83/65.09 (step @p510 :rule eq_resolve :premises (@p509 @p508)) % 64.83/65.09 (step @p511 :rule reordering :premises (@p510) :args ((or @t350 @t357))) % 64.83/65.09 (step @p512 :rule chain_m_resolution :premises (@p511 @p490) :args (@t350 @t373 @t376)) % 64.83/65.09 (step @p513 :rule cnf_equiv_pos1 :args (@t378)) % 64.83/65.09 (step @p514 :rule reordering :premises (@p513) :args ((or @t351 @t377 (not @t378)))) % 64.83/65.09 (step @p515 :rule chain_m_resolution :premises 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(@t364)) % 64.83/65.09 (step @p529 :rule nary_cong :premises (@p482 @p528) :args ((or @t366 (not @t365)))) % 64.83/65.09 (step @p530 :rule cnf_or_neg :args (@t366 0)) % 64.83/65.09 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 64.83/65.09 (step @p532 :rule reordering :premises (@p531) :args ((or @t364 @t366))) % 64.83/65.09 (step @p533 :rule chain_m_resolution :premises (@p532 @p478) :args (@t364 @t373 @t374)) % 64.83/65.09 (step @p534 :rule cnf_or_pos :args (@t395)) % 64.83/65.09 (step @p535 :rule reordering :premises (@p534) :args ((or @t365 @t394 (not @t395)))) % 64.83/65.09 (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p527) :args (@t394 @t381 (@list @t364 @t395))) % 64.83/65.09 (step @p537 :rule cnf_or_pos :args (@t400)) % 64.83/65.09 (step @p538 :rule factoring :premises (@p537)) % 64.83/65.09 (step @p539 :rule reordering :premises (@p538) :args ((or @t398 @t365 @t399 @t388 @t397 (not @t400)))) % 64.83/65.09 (step @p540 :rule chain_m_resolution :premises (@p539 @p17 @p533 @p536 @p523 @p182) :args (@t397 (@list false false false false false) (@list @t53 @t364 @t394 @t382 @t400))) % 64.83/65.09 (step @p541 :rule true_intro :premises (@p540)) % 64.83/65.09 (step @p542 :rule refl :args (@t202)) % 64.83/65.09 (step @p543 :rule refl :args (@t201)) % 64.83/65.09 (step @p544 :rule bool-impl-elim :args (@t26 @t401)) % 64.83/65.09 (step @p545 :rule cong :premises (@p544) :args ((forall @t9 (=> @t26 @t401)))) % 64.83/65.09 (step @p546 :rule eq-symm :args (@t62 @t2)) % 64.83/65.09 (step @p547 :rule cong :premises (@p177 @p546) :args (@t63)) % 64.83/65.09 (step @p548 :rule cong :premises (@p547) :args (@t64)) % 64.83/65.09 (step @p549 :rule trans :premises (@p548 @p545)) % 64.83/65.09 (step @p550 :rule eq_resolve :premises (@p28 @p549)) % 64.83/65.09 (step @p551 :rule instantiate :premises (@p550) :args (@t393)) % 64.83/65.09 (step @p552 :rule cnf_or_pos :args (@t403)) % 64.83/65.09 (step @p553 :rule reordering :premises (@p552) :args ((or @t365 @t402 (not @t403)))) % 64.83/65.09 (step @p554 :rule chain_m_resolution :premises (@p553 @p533 @p551) :args (@t402 @t381 (@list @t364 @t403))) % 64.83/65.09 (step @p555 :rule cong :premises (@p554 @p543) :args ((tptp.app @t202 @t201))) % 64.83/65.09 (step @p556 :rule bool-double-not-elim :args (@t353)) % 64.83/65.09 (step @p557 :rule nary_cong :premises (@p492 @p556) :args ((or @t357 (not @t354)))) % 64.83/65.09 (step @p558 :rule cnf_or_neg :args (@t357 1)) % 64.83/65.09 (step @p559 :rule eq_resolve :premises (@p558 @p557)) % 64.83/65.09 (step @p560 :rule reordering :premises (@p559) :args ((or @t353 @t357))) % 64.83/65.09 (step @p561 :rule chain_m_resolution :premises (@p560 @p490) :args (@t353 @t373 @t376)) % 64.83/65.09 (step @p562 :rule symm :premises (@p561)) % 64.83/65.09 (step @p563 :rule cong :premises (@p562 @p543) :args (@t404)) % 64.83/65.09 (step @p564 :rule aci_norm :args ((= @t409 (or @t132 @t407 @t406)))) % 64.83/65.09 (step @p565 :rule cong :premises (@p564) :args (@t410)) % 64.83/65.09 (step @p566 :rule quant-merge-prenex :args ((= (forall @t9 @t412) @t410))) % 64.83/65.09 (step @p567 :rule alpha_equiv :args (@t413 (@list @t405) @t212)) % 64.83/65.09 (step @p568 :rule nary_cong :premises (@p103 @p567) :args (@t414)) % 64.83/65.09 (step @p569 :rule quant-miniscope-or :args ((= @t412 @t414))) % 64.83/65.09 (step @p570 :rule trans :premises (@p569 @p568)) % 64.83/65.09 (step @p571 :rule symm :premises (@p570)) % 64.83/65.09 (step @p572 :rule cong :premises (@p571) :args ((forall @t9 (or @t132 @t415)))) % 64.83/65.09 (step @p573 :rule trans :premises (@p572 @p566)) % 64.83/65.09 (step @p574 :rule trans :premises (@p573 @p565)) % 64.83/65.09 (step @p575 :rule bool-impl-elim :args (@t26 @t415)) % 64.83/65.09 (step @p576 :rule cong :premises (@p575) :args ((forall @t9 (=> @t26 @t415)))) % 64.83/65.09 (step @p577 :rule trans :premises (@p576 @p574)) % 64.83/65.09 (step @p578 :rule bool-impl-elim :args (@t6 @t92)) % 64.83/65.09 (step @p579 :rule cong :premises (@p578) :args (@t93)) % 64.83/65.09 (step @p580 :rule cong :premises (@p177 @p579) :args (@t94)) % 64.83/65.09 (step @p581 :rule cong :premises (@p580) :args (@t95)) % 64.83/65.09 (step @p582 :rule trans :premises (@p581 @p577)) % 64.83/65.09 (step @p583 :rule eq_resolve :premises (@p81 @p582)) % 64.83/65.09 (step @p584 :rule instantiate :premises (@p583) :args (@t416)) % 64.83/65.09 (step @p585 :rule cnf_or_pos :args (@t418)) % 64.83/65.09 (step @p586 :rule reordering :premises (@p585) :args ((or @t356 @t388 @t417 (not @t418)))) % 64.83/65.09 (step @p587 :rule chain_m_resolution :premises (@p586 @p497 @p523 @p584) :args (@t417 @t380 (@list @t355 @t382 @t418))) % 64.83/65.09 (step @p588 :rule trans :premises (@p587 @p563 @p555)) % 64.83/65.09 (step @p589 :rule cong :premises (@p588 @p542) :args (@t419)) % 64.83/65.09 (step @p590 :rule instantiate :premises (@p181) :args ((@list @t383 @t202 @t384 tptp.nil))) % 64.83/65.09 (step @p591 :rule cnf_or_neg :args (@t366 3)) % 64.83/65.09 (step @p592 :rule chain_m_resolution :premises (@p591 @p478) :args ((not @t360) @t373 @t374)) % 64.83/65.09 (step @p593 :rule false_intro :premises (@p592)) % 64.83/65.09 (step @p594 :rule bool-impl-elim :args (@t26 @t420)) % 64.83/65.09 (step @p595 :rule cong :premises (@p594) :args ((forall @t9 (=> @t26 @t420)))) % 64.83/65.09 (step @p596 :rule eq-symm :args (@t96 @t2)) % 64.83/65.09 (step @p597 :rule cong :premises (@p177 @p596) :args (@t97)) % 64.83/65.09 (step @p598 :rule cong :premises (@p597) :args (@t98)) % 64.83/65.09 (step @p599 :rule trans :premises (@p598 @p595)) % 64.83/65.09 (step @p600 :rule eq_resolve :premises (@p84 @p599)) % 64.83/65.09 (step @p601 :rule instantiate :premises (@p600) :args ((@list @t197))) % 64.83/65.09 (step @p602 :rule cnf_or_pos :args (@t422)) % 64.83/65.09 (step @p603 :rule reordering :premises (@p602) :args ((or @t363 @t421 (not @t422)))) % 64.83/65.09 (step @p604 :rule chain_m_resolution :premises (@p603 @p503 @p601) :args (@t421 @t381 (@list @t362 @t422))) % 64.83/65.09 (step @p605 :rule symm :premises (@p604)) % 64.83/65.09 (step @p606 :rule refl :args (tptp.nil)) % 64.83/65.09 (step @p607 :rule bool-double-not-elim :args (@t386)) % 64.83/65.09 (step @p608 :rule nary_cong :premises (@p518 @p607) :args ((or @t391 (not @t387)))) % 64.83/65.09 (step @p609 :rule cnf_or_neg :args (@t391 2)) % 64.83/65.09 (step @p610 :rule eq_resolve :premises (@p609 @p608)) % 64.83/65.09 (step @p611 :rule reordering :premises (@p610) :args ((or @t386 @t391))) % 64.83/65.09 (step @p612 :rule chain_m_resolution :premises (@p611 @p516) :args (@t386 @t373 @t392)) % 64.83/65.09 (step @p613 :rule symm :premises (@p612)) % 64.83/65.09 (step @p614 :rule cong :premises (@p613 @p606) :args (@t423)) % 64.83/65.09 (step @p615 :rule trans :premises (@p614 @p605)) % 64.83/65.09 (step @p616 :rule cong :premises (@p615 @p542) :args (@t424)) % 64.83/65.09 (step @p617 :rule trans :premises (@p616 @p593)) % 64.83/65.09 (step @p618 :rule false_elim :premises (@p617)) % 64.83/65.09 (step @p619 :rule aci_norm :args ((= @t429 (or @t132 @t427 @t426)))) % 64.83/65.09 (step @p620 :rule cong :premises (@p619) :args (@t430)) % 64.83/65.09 (step @p621 :rule quant-merge-prenex :args ((= (forall @t9 @t432) @t430))) % 64.83/65.09 (step @p622 :rule alpha_equiv :args (@t433 (@list @t425) @t212)) % 64.83/65.09 (step @p623 :rule nary_cong :premises (@p103 @p622) :args (@t434)) % 64.83/65.09 (step @p624 :rule quant-miniscope-or :args ((= @t432 @t434))) % 64.83/65.09 (step @p625 :rule trans :premises (@p624 @p623)) % 64.83/65.09 (step @p626 :rule symm :premises (@p625)) % 64.83/65.09 (step @p627 :rule cong :premises (@p626) :args ((forall @t9 (or @t132 @t435)))) % 64.83/65.09 (step @p628 :rule trans :premises (@p627 @p621)) % 64.83/65.09 (step @p629 :rule trans :premises (@p628 @p620)) % 64.83/65.09 (step @p630 :rule bool-impl-elim :args (@t26 @t435)) % 64.83/65.09 (step @p631 :rule cong :premises (@p630) :args ((forall @t9 (=> @t26 @t435)))) % 64.83/65.09 (step @p632 :rule trans :premises (@p631 @p629)) % 64.83/65.09 (step @p633 :rule bool-impl-elim :args (@t6 @t49)) % 64.83/65.09 (step @p634 :rule cong :premises (@p633) :args (@t50)) % 64.83/65.09 (step @p635 :rule cong :premises (@p177 @p634) :args (@t51)) % 64.83/65.09 (step @p636 :rule cong :premises (@p635) :args (@t52)) % 64.83/65.09 (step @p637 :rule trans :premises (@p636 @p632)) % 64.83/65.09 (step @p638 :rule eq_resolve :premises (@p16 @p637)) % 64.83/65.09 (step @p639 :rule instantiate :premises (@p638) :args (@t416)) % 64.83/65.09 (step @p640 :rule cnf_or_pos :args (@t437)) % 64.83/65.09 (step @p641 :rule reordering :premises (@p640) :args ((or @t356 @t388 @t436 (not @t437)))) % 64.83/65.09 (step @p642 :rule chain_m_resolution :premises (@p641 @p497 @p523 @p639) :args (@t436 @t380 (@list @t355 @t382 @t437))) % 64.83/65.09 (step @p643 :rule bool-double-not-elim :args (@t389)) % 64.83/65.09 (step @p644 :rule nary_cong :premises (@p518 @p643) :args ((or @t391 (not @t390)))) % 64.83/65.09 (step @p645 :rule cnf_or_neg :args (@t391 0)) % 64.83/65.09 (step @p646 :rule eq_resolve :premises (@p645 @p644)) % 64.83/65.09 (step @p647 :rule reordering :premises (@p646) :args ((or @t389 @t391))) % 64.83/65.09 (step @p648 :rule chain_m_resolution :premises (@p647 @p516) :args (@t389 @t373 @t392)) % 64.83/65.09 (step @p649 :rule cnf_or_pos :args (@t440)) % 64.83/65.09 (step @p650 :rule reordering :premises (@p649) :args ((or @t398 @t365 @t390 @t439 @t438 @t424 (not @t440)))) % 64.83/65.09 (step @p651 :rule chain_m_resolution :premises (@p650 @p17 @p533 @p648 @p642 @p618 @p590) :args (@t438 (@list false false false false true false) (@list @t53 @t364 @t389 @t436 @t424 @t440))) % 64.83/65.09 (step @p652 :rule false_intro :premises (@p651)) % 64.83/65.09 (step @p653 :rule symm :premises (@p652)) % 64.83/65.09 (step @p654 :rule trans :premises (@p653 @p589 @p541)) % 64.83/65.09 (step @p655 false :rule eq_resolve :premises (@p654 @p98)) % 64.83/65.09 ) % 64.83/65.09 % SZS output end Proof % 64.83/65.09 % cvc5 exiting %------------------------------------------------------------------------------