%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC099+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:03 AM UTC 2026 % Result : Theorem 67.30s 67.57s % Output : Proof 67.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC099+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 19:15:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 67.30/67.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 67.30/67.57 --- Run --no-e-matching --full-saturate-quant at 6... % 67.30/67.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 67.30/67.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 67.30/67.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 67.30/67.57 --- Run --trigger-sel=max --full-saturate-quant at 15... % 67.30/67.57 % SZS status Theorem % 67.30/67.57 % SZS output start Proof % 67.30/67.57 ( % 67.30/67.57 (declare-sort $$unsorted 0) % 67.30/67.57 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 67.30/67.57 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 67.30/67.57 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 67.30/67.57 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 67.30/67.57 (declare-const tptp.nil $$unsorted) % 67.30/67.57 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.ssList (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 67.30/67.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 67.30/67.57 (define @t1 () (@var "V" $$unsorted)) % 67.30/67.57 (define @t2 () (@var "U" $$unsorted)) % 67.30/67.57 (define @t3 () (= @t2 @t1)) % 67.30/67.57 (define @t4 () (not @t3)) % 67.30/67.57 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 67.30/67.57 (define @t6 () (tptp.ssItem @t1)) % 67.30/67.57 (define @t7 () (@list @t1)) % 67.30/67.57 (define @t8 () (tptp.ssItem @t2)) % 67.30/67.57 (define @t9 () (@list @t2)) % 67.30/67.57 (define @t10 () (@var "X" $$unsorted)) % 67.30/67.57 (define @t11 () (tptp.cons @t1 @t10)) % 67.30/67.57 (define @t12 () (@var "W" $$unsorted)) % 67.30/67.57 (define @t13 () (tptp.ssList @t10)) % 67.30/67.57 (define @t14 () (@list @t10)) % 67.30/67.57 (define @t15 () (tptp.ssList @t12)) % 67.30/67.57 (define @t16 () (@list @t12)) % 67.30/67.57 (define @t17 () (tptp.ssList @t2)) % 67.30/67.57 (define @t18 () (tptp.cons @t1 tptp.nil)) % 67.30/67.57 (define @t19 () (and @t6 (= @t18 @t2))) % 67.30/67.57 (define @t20 () (exists @t7 @t19)) % 67.30/67.57 (define @t21 () (tptp.singletonP @t2)) % 67.30/67.57 (define @t22 () (= @t21 @t20)) % 67.30/67.57 (define @t23 () (=> @t17 @t22)) % 67.30/67.57 (define @t24 () (forall @t9 @t23)) % 67.30/67.57 (define @t25 () (tptp.app @t1 @t12)) % 67.30/67.57 (define @t26 () (tptp.frontsegP @t2 @t1)) % 67.30/67.57 (define @t27 () (tptp.ssList @t1)) % 67.30/67.57 (define @t28 () (tptp.app @t12 @t1)) % 67.30/67.57 (define @t29 () (tptp.rearsegP @t2 @t1)) % 67.30/67.57 (define @t30 () (tptp.segmentP @t2 @t1)) % 67.30/67.57 (define @t31 () (tptp.leq @t12 @t1)) % 67.30/67.57 (define @t32 () (tptp.leq @t1 @t12)) % 67.30/67.57 (define @t33 () (@var "Z" $$unsorted)) % 67.30/67.57 (define @t34 () (@var "Y" $$unsorted)) % 67.30/67.57 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 67.30/67.57 (define @t36 () (tptp.ssList @t33)) % 67.30/67.57 (define @t37 () (@list @t33)) % 67.30/67.57 (define @t38 () (tptp.ssList @t34)) % 67.30/67.57 (define @t39 () (@list @t34)) % 67.30/67.57 (define @t40 () (tptp.ssItem @t12)) % 67.30/67.57 (define @t41 () (tptp.lt @t1 @t12)) % 67.30/67.57 (define @t42 () (= @t1 @t12)) % 67.30/67.57 (define @t43 () (tptp.equalelemsP @t2)) % 67.30/67.57 (define @t44 () (forall @t7 (=> @t27 @t5))) % 67.30/67.57 (define @t45 () (=> @t17 @t44)) % 67.30/67.57 (define @t46 () (forall @t9 @t45)) % 67.30/67.57 (define @t47 () (tptp.cons @t1 @t2)) % 67.30/67.57 (define @t48 () (tptp.ssList @t47)) % 67.30/67.57 (define @t49 () (forall @t7 (=> @t6 @t48))) % 67.30/67.57 (define @t50 () (=> @t17 @t49)) % 67.30/67.57 (define @t51 () (forall @t9 @t50)) % 67.30/67.57 (define @t52 () (tptp.ssList tptp.nil)) % 67.30/67.57 (define @t53 () (= @t1 @t2)) % 67.30/67.57 (define @t54 () (tptp.cons @t12 @t1)) % 67.30/67.57 (define @t55 () (and @t40 (= @t54 @t2))) % 67.30/67.57 (define @t56 () (exists @t16 @t55)) % 67.30/67.57 (define @t57 () (and @t27 @t56)) % 67.30/67.57 (define @t58 () (exists @t7 @t57)) % 67.30/67.57 (define @t59 () (= tptp.nil @t2)) % 67.30/67.57 (define @t60 () (or @t59 @t58)) % 67.30/67.57 (define @t61 () (=> @t17 @t60)) % 67.30/67.57 (define @t62 () (forall @t9 @t61)) % 67.30/67.57 (define @t63 () (tptp.hd @t2)) % 67.30/67.57 (define @t64 () (tptp.ssItem @t63)) % 67.30/67.57 (define @t65 () (not @t59)) % 67.30/67.57 (define @t66 () (=> @t65 @t64)) % 67.30/67.57 (define @t67 () (=> @t17 @t66)) % 67.30/67.57 (define @t68 () (forall @t9 @t67)) % 67.30/67.57 (define @t69 () (tptp.tl @t2)) % 67.30/67.57 (define @t70 () (tptp.tl @t47)) % 67.30/67.57 (define @t71 () (=> @t6 (= @t70 @t2))) % 67.30/67.57 (define @t72 () (forall @t7 @t71)) % 67.30/67.57 (define @t73 () (=> @t17 @t72)) % 67.30/67.57 (define @t74 () (forall @t9 @t73)) % 67.30/67.57 (define @t75 () (tptp.app @t2 @t1)) % 67.30/67.57 (define @t76 () (tptp.app @t1 @t2)) % 67.30/67.57 (define @t77 () (tptp.leq @t1 @t2)) % 67.30/67.57 (define @t78 () (tptp.leq @t2 @t1)) % 67.30/67.57 (define @t79 () (tptp.geq @t2 @t1)) % 67.30/67.57 (define @t80 () (tptp.lt @t1 @t2)) % 67.30/67.57 (define @t81 () (tptp.lt @t2 @t1)) % 67.30/67.57 (define @t82 () (tptp.lt @t2 @t12)) % 67.30/67.57 (define @t83 () (tptp.gt @t2 @t1)) % 67.30/67.57 (define @t84 () (tptp.memberP @t12 @t2)) % 67.30/67.57 (define @t85 () (tptp.singletonP tptp.nil)) % 67.30/67.57 (define @t86 () (tptp.frontsegP @t1 @t12)) % 67.30/67.57 (define @t87 () (tptp.frontsegP @t1 @t2)) % 67.30/67.57 (define @t88 () (tptp.cons @t2 @t12)) % 67.30/67.57 (define @t89 () (= (tptp.frontsegP @t88 @t11) (and @t3 (tptp.frontsegP @t12 @t10)))) % 67.30/67.57 (define @t90 () (forall @t14 (=> @t13 @t89))) % 67.30/67.57 (define @t91 () (=> @t15 @t90)) % 67.30/67.57 (define @t92 () (forall @t16 @t91)) % 67.30/67.57 (define @t93 () (=> @t6 @t92)) % 67.30/67.57 (define @t94 () (forall @t7 @t93)) % 67.30/67.57 (define @t95 () (=> @t8 @t94)) % 67.30/67.57 (define @t96 () (forall @t9 @t95)) % 67.30/67.57 (define @t97 () (tptp.frontsegP @t2 tptp.nil)) % 67.30/67.57 (define @t98 () (forall @t9 (=> @t17 @t97))) % 67.30/67.57 (define @t99 () (tptp.frontsegP tptp.nil @t2)) % 67.30/67.57 (define @t100 () (=> @t17 (= @t99 @t59))) % 67.30/67.57 (define @t101 () (forall @t9 @t100)) % 67.30/67.57 (define @t102 () (tptp.app @t12 @t2)) % 67.30/67.57 (define @t103 () (tptp.segmentP @t2 @t2)) % 67.30/67.57 (define @t104 () (forall @t9 (=> @t17 @t103))) % 67.30/67.57 (define @t105 () (tptp.segmentP (tptp.app @t102 @t10) @t1)) % 67.30/67.57 (define @t106 () (=> @t30 @t105)) % 67.30/67.57 (define @t107 () (forall @t14 (=> @t13 @t106))) % 67.30/67.57 (define @t108 () (=> @t15 @t107)) % 67.30/67.57 (define @t109 () (forall @t16 @t108)) % 67.30/67.57 (define @t110 () (=> @t27 @t109)) % 67.30/67.57 (define @t111 () (forall @t7 @t110)) % 67.30/67.57 (define @t112 () (=> @t17 @t111)) % 67.30/67.57 (define @t113 () (forall @t9 @t112)) % 67.30/67.57 (define @t114 () (tptp.cons @t2 tptp.nil)) % 67.30/67.57 (define @t115 () (tptp.hd @t1)) % 67.30/67.57 (define @t116 () (= tptp.nil @t1)) % 67.30/67.57 (define @t117 () (not @t116)) % 67.30/67.57 (define @t118 () (tptp.cons @t2 @t1)) % 67.30/67.57 (define @t119 () (tptp.equalelemsP @t114)) % 67.30/67.57 (define @t120 () (forall @t9 (=> @t8 @t119))) % 67.30/67.57 (define @t121 () (tptp.cons @t63 @t69)) % 67.30/67.57 (define @t122 () (=> @t65 (= @t121 @t2))) % 67.30/67.57 (define @t123 () (=> @t17 @t122)) % 67.30/67.57 (define @t124 () (forall @t9 @t123)) % 67.30/67.57 (define @t125 () (= @t12 @t2)) % 67.30/67.57 (define @t126 () (= @t47 (tptp.app @t18 @t2))) % 67.30/67.57 (define @t127 () (forall @t7 (=> @t6 @t126))) % 67.30/67.57 (define @t128 () (=> @t17 @t127)) % 67.30/67.57 (define @t129 () (forall @t9 @t128)) % 67.30/67.57 (define @t130 () (tptp.neq @t2 tptp.nil)) % 67.30/67.57 (define @t131 () (or (not (tptp.neq @t1 tptp.nil)) (and @t130 @t87))) % 67.30/67.57 (define @t132 () (or @t117 @t59)) % 67.30/67.57 (define @t133 () (and @t132 @t131)) % 67.30/67.57 (define @t134 () (tptp.equalelemsP @t34)) % 67.30/67.57 (define @t135 () (tptp.segmentP @t34 @t12)) % 67.30/67.57 (define @t136 () (tptp.frontsegP @t10 @t34)) % 67.30/67.57 (define @t137 () (tptp.neq @t12 @t34)) % 67.30/67.57 (define @t138 () (and @t38 @t137 @t136 @t135 @t134)) % 67.30/67.57 (define @t139 () (exists @t39 @t138)) % 67.30/67.57 (define @t140 () (not (tptp.equalelemsP @t12))) % 67.30/67.57 (define @t141 () (not (tptp.frontsegP @t10 @t12))) % 67.30/67.57 (define @t142 () (not (= @t2 @t12))) % 67.30/67.57 (define @t143 () (not (= @t1 @t10))) % 67.30/67.57 (define @t144 () (or @t143 @t142 @t141 @t140 @t139 @t133)) % 67.30/67.57 (define @t145 () (=> @t13 @t144)) % 67.30/67.57 (define @t146 () (forall @t14 @t145)) % 67.30/67.57 (define @t147 () (=> @t15 @t146)) % 67.30/67.57 (define @t148 () (forall @t16 @t147)) % 67.30/67.57 (define @t149 () (=> @t27 @t148)) % 67.30/67.57 (define @t150 () (forall @t7 @t149)) % 67.30/67.57 (define @t151 () (=> @t17 @t150)) % 67.30/67.57 (define @t152 () (forall @t9 @t151)) % 67.30/67.57 (define @t153 () (not @t152)) % 67.30/67.57 (define @t154 () (not @t134)) % 67.30/67.57 (define @t155 () (not (tptp.segmentP @t34 @t2))) % 67.30/67.57 (define @t156 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 67.30/67.57 (define @t157 () (not (tptp.neq @t2 @t34))) % 67.30/67.57 (define @t158 () (not @t38)) % 67.30/67.57 (define @t159 () (not (forall @t39 (or @t158 @t157 (not (tptp.frontsegP @t156 @t34)) @t155 @t154)))) % 67.30/67.57 (define @t160 () (tptp.frontsegP @t156 @t2)) % 67.30/67.57 (define @t161 () (not @t160)) % 67.30/67.57 (define @t162 () (or (not (tptp.neq @t156 tptp.nil)) (and @t130 @t160))) % 67.30/67.57 (define @t163 () (= @t2 tptp.nil)) % 67.30/67.57 (define @t164 () (not (= @t156 tptp.nil))) % 67.30/67.57 (define @t165 () (or @t164 @t163)) % 67.30/67.57 (define @t166 () (and @t165 @t162)) % 67.30/67.57 (define @t167 () (not (tptp.ssList @t156))) % 67.30/67.57 (define @t168 () (not @t43)) % 67.30/67.57 (define @t169 () (not @t17)) % 67.30/67.57 (define @t170 () (or @t169 @t168 @t167 @t166 @t161 @t159)) % 67.30/67.57 (define @t171 () (or @t167 @t166 @t161 @t159)) % 67.30/67.57 (define @t172 () (or @t169 @t168 @t171)) % 67.30/67.57 (define @t173 () (@list @t2 @t156)) % 67.30/67.57 (define @t174 () (forall @t173 @t172)) % 67.30/67.57 (define @t175 () (@list @t156)) % 67.30/67.57 (define @t176 () (forall @t175 @t172)) % 67.30/67.57 (define @t177 () (forall @t175 @t171)) % 67.30/67.57 (define @t178 () (@list @t1)) % 67.30/67.57 (define @t179 () (or @t169 @t168 @t177)) % 67.30/67.57 (define @t180 () (not (tptp.frontsegP @t1 @t34))) % 67.30/67.57 (define @t181 () (not (forall @t39 (or @t158 @t157 @t180 @t155 @t154)))) % 67.30/67.57 (define @t182 () (not @t87)) % 67.30/67.57 (define @t183 () (and (or (not (= @t1 tptp.nil)) @t163) @t131)) % 67.30/67.57 (define @t184 () (not @t27)) % 67.30/67.57 (define @t185 () (or @t184 @t183 @t182 @t181)) % 67.30/67.57 (define @t186 () (or @t169 @t168 (forall @t7 @t185))) % 67.30/67.57 (define @t187 () (or @t169 @t168 @t185)) % 67.30/67.57 (define @t188 () (or @t184 @t183 @t169 @t168 @t182 @t181)) % 67.30/67.57 (define @t189 () (or @t183 @t184 @t169 @t168 @t182 @t181)) % 67.30/67.57 (define @t190 () (or @t169 @t168 @t182 @t181)) % 67.30/67.57 (define @t191 () (not (= @t2 @t2))) % 67.30/67.57 (define @t192 () (or @t169 @t191 @t168 @t182 @t181)) % 67.30/67.57 (define @t193 () (not @t135)) % 67.30/67.57 (define @t194 () (not @t137)) % 67.30/67.57 (define @t195 () (not (forall @t39 (or @t158 @t194 @t180 @t193 @t154)))) % 67.30/67.57 (define @t196 () (not @t86)) % 67.30/67.57 (define @t197 () (not @t15)) % 67.30/67.57 (define @t198 () (or @t142 @t197 @t142 @t140 @t196 @t195)) % 67.30/67.57 (define @t199 () (or @t197 @t142 @t140 @t196 @t195)) % 67.30/67.57 (define @t200 () (forall @t16 @t199)) % 67.30/67.57 (define @t201 () (or @t183 @t184 @t200)) % 67.30/67.57 (define @t202 () (or @t183 @t184 @t199)) % 67.30/67.57 (define @t203 () (or @t197 @t142 @t140 @t183 @t184 @t196 @t195)) % 67.30/67.57 (define @t204 () (or @t142 @t140 @t183 @t184 @t196 @t195)) % 67.30/67.57 (define @t205 () (or @t184 @t196 @t195)) % 67.30/67.57 (define @t206 () (not (= @t1 @t1))) % 67.30/67.57 (define @t207 () (or @t184 @t206 @t196 @t195)) % 67.30/67.57 (define @t208 () (not @t136)) % 67.30/67.57 (define @t209 () (or @t158 @t194 @t208 @t193 @t154)) % 67.30/67.57 (define @t210 () (not (forall @t39 @t209))) % 67.30/67.57 (define @t211 () (not @t13)) % 67.30/67.57 (define @t212 () (or @t143 @t211 @t143 @t141 @t210)) % 67.30/67.57 (define @t213 () (or @t211 @t143 @t141 @t210)) % 67.30/67.57 (define @t214 () (forall @t14 @t213)) % 67.30/67.57 (define @t215 () (or @t142 @t140 @t183 @t214)) % 67.30/67.57 (define @t216 () (or @t142 @t140 @t183 @t213)) % 67.30/67.57 (define @t217 () (or @t211 @t143 @t142 @t141 @t140 @t210 @t183)) % 67.30/67.57 (define @t218 () (or @t143 @t142 @t141 @t140 @t210 @t183)) % 67.30/67.57 (define @t219 () (forall @t39 (not @t138))) % 67.30/67.57 (define @t220 () (not @t219)) % 67.30/67.57 (define @t221 () (forall @t173 (or @t169 @t168 @t167 (and (or (not (= tptp.nil @t156)) @t163) @t162) @t161 @t159))) % 67.30/67.57 (define @t222 () (@quantifiers_skolemize @t221 0)) % 67.30/67.57 (define @t223 () (@quantifiers_skolemize @t221 1)) % 67.30/67.57 (define @t224 () (forall @t39 (or @t158 (not (tptp.neq @t222 @t34)) (not (tptp.frontsegP @t223 @t34)) (not (tptp.segmentP @t34 @t222)) @t154))) % 67.30/67.57 (define @t225 () (not @t224)) % 67.30/67.57 (define @t226 () (tptp.frontsegP @t223 @t222)) % 67.30/67.57 (define @t227 () (not @t226)) % 67.30/67.57 (define @t228 () (tptp.neq @t222 tptp.nil)) % 67.30/67.57 (define @t229 () (and @t228 @t226)) % 67.30/67.57 (define @t230 () (tptp.neq @t223 tptp.nil)) % 67.30/67.57 (define @t231 () (not @t230)) % 67.30/67.57 (define @t232 () (or @t231 @t229)) % 67.30/67.57 (define @t233 () (= tptp.nil @t222)) % 67.30/67.57 (define @t234 () (= tptp.nil @t223)) % 67.30/67.57 (define @t235 () (not @t234)) % 67.30/67.57 (define @t236 () (or @t235 @t233)) % 67.30/67.57 (define @t237 () (and @t236 @t232)) % 67.30/67.57 (define @t238 () (tptp.ssList @t223)) % 67.30/67.57 (define @t239 () (not @t238)) % 67.30/67.57 (define @t240 () (not (tptp.equalelemsP @t222))) % 67.30/67.57 (define @t241 () (tptp.ssList @t222)) % 67.30/67.57 (define @t242 () (not @t241)) % 67.30/67.57 (define @t243 () (or @t242 @t240 @t239 @t237 @t227 @t225)) % 67.30/67.57 (define @t244 () (not @t243)) % 67.30/67.57 (define @t245 () (not @t221)) % 67.30/67.57 (define @t246 () (= @t222 tptp.nil)) % 67.30/67.57 (define @t247 () (or @t235 @t246)) % 67.30/67.57 (define @t248 () (and @t247 @t232)) % 67.30/67.57 (define @t249 () (or @t242 @t240 @t239 @t248 @t227 @t225)) % 67.30/67.57 (define @t250 () (not @t249)) % 67.30/67.57 (define @t251 () (@list true)) % 67.30/67.57 (define @t252 () (@list @t243)) % 67.30/67.57 (define @t253 () (@var "BOUND_VARIABLE_10528" $$unsorted)) % 67.30/67.57 (define @t254 () (= (tptp.cons @t253 @t2) (tptp.app (tptp.cons @t253 tptp.nil) @t2))) % 67.30/67.57 (define @t255 () (not (tptp.ssItem @t253))) % 67.30/67.57 (define @t256 () (or @t255 @t254)) % 67.30/67.57 (define @t257 () (or @t169 @t256)) % 67.30/67.57 (define @t258 () (forall (@list @t2 @t253) @t257)) % 67.30/67.57 (define @t259 () (@list @t253)) % 67.30/67.57 (define @t260 () (forall @t259 @t257)) % 67.30/67.57 (define @t261 () (forall @t259 @t256)) % 67.30/67.57 (define @t262 () (or @t169 @t261)) % 67.30/67.57 (define @t263 () (not @t6)) % 67.30/67.57 (define @t264 () (forall @t7 (or @t263 @t126))) % 67.30/67.57 (define @t265 () (tptp.hd @t223)) % 67.30/67.57 (define @t266 () (@list tptp.nil @t265)) % 67.30/67.57 (define @t267 () (or @t169 @t163 @t64)) % 67.30/67.57 (define @t268 () (not @t163)) % 67.30/67.57 (define @t269 () (not @t268)) % 67.30/67.57 (define @t270 () (=> @t268 @t64)) % 67.30/67.57 (define @t271 () (tptp.ssItem @t265)) % 67.30/67.57 (define @t272 () (= @t223 tptp.nil)) % 67.30/67.57 (define @t273 () (or @t239 @t272 @t271)) % 67.30/67.57 (define @t274 () (forall @t9 @t267)) % 67.30/67.57 (define @t275 () (@list @t223)) % 67.30/67.57 (define @t276 () (or @t239 @t234 @t271)) % 67.30/67.57 (define @t277 () (@list false)) % 67.30/67.57 (define @t278 () (tptp.frontsegP tptp.nil @t222)) % 67.30/67.57 (define @t279 () (and @t234 @t226)) % 67.30/67.57 (define @t280 () (= @t99 @t163)) % 67.30/67.57 (define @t281 () (or @t242 (= @t278 @t246))) % 67.30/67.57 (define @t282 () (forall @t9 (or @t169 @t280))) % 67.30/67.57 (define @t283 () (= @t233 @t278)) % 67.30/67.57 (define @t284 () (or @t242 @t283)) % 67.30/67.57 (define @t285 () (@list false false)) % 67.30/67.57 (define @t286 () (not @t228)) % 67.30/67.57 (define @t287 () (and @t234 @t230 @t233)) % 67.30/67.57 (define @t288 () (not @t233)) % 67.30/67.57 (define @t289 () (@list false true false)) % 67.30/67.57 (define @t290 () (tptp.cons @t265 tptp.nil)) % 67.30/67.57 (define @t291 () (tptp.app @t290 tptp.nil)) % 67.30/67.57 (define @t292 () (= @t290 @t291)) % 67.30/67.57 (define @t293 () (not @t271)) % 67.30/67.57 (define @t294 () (not @t52)) % 67.30/67.57 (define @t295 () (or @t294 @t293 @t292)) % 67.30/67.57 (define @t296 () (@list false false false)) % 67.30/67.57 (define @t297 () (@var "BOUND_VARIABLE_10203" $$unsorted)) % 67.30/67.57 (define @t298 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 67.30/67.57 (define @t299 () (@var "BOUND_VARIABLE_10205" $$unsorted)) % 67.30/67.57 (define @t300 () (tptp.segmentP (tptp.app (tptp.app @t299 @t2) @t298) @t297)) % 67.30/67.57 (define @t301 () (not (tptp.ssList @t298))) % 67.30/67.57 (define @t302 () (not (tptp.ssList @t299))) % 67.30/67.57 (define @t303 () (not (tptp.segmentP @t2 @t297))) % 67.30/67.57 (define @t304 () (not (tptp.ssList @t297))) % 67.30/67.57 (define @t305 () (or @t304 @t303 @t302 @t301 @t300)) % 67.30/67.57 (define @t306 () (or @t169 @t305)) % 67.30/67.57 (define @t307 () (forall (@list @t2 @t297 @t299 @t298) @t306)) % 67.30/67.57 (define @t308 () (@list @t297 @t299 @t298)) % 67.30/67.57 (define @t309 () (forall @t308 @t306)) % 67.30/67.57 (define @t310 () (forall @t308 @t305)) % 67.30/67.57 (define @t311 () (@var "BOUND_VARIABLE_10184" $$unsorted)) % 67.30/67.57 (define @t312 () (@var "BOUND_VARIABLE_10182" $$unsorted)) % 67.30/67.57 (define @t313 () (or @t169 @t310)) % 67.30/67.57 (define @t314 () (tptp.segmentP (tptp.app (tptp.app @t312 @t2) @t311) @t1)) % 67.30/67.57 (define @t315 () (not (tptp.ssList @t311))) % 67.30/67.57 (define @t316 () (not (tptp.ssList @t312))) % 67.30/67.57 (define @t317 () (not @t30)) % 67.30/67.57 (define @t318 () (or @t184 @t317 @t316 @t315 @t314)) % 67.30/67.57 (define @t319 () (@list @t1 @t312 @t311)) % 67.30/67.57 (define @t320 () (forall @t319 @t318)) % 67.30/67.57 (define @t321 () (or @t316 @t315 @t314)) % 67.30/67.57 (define @t322 () (or @t184 @t317 @t321)) % 67.30/67.57 (define @t323 () (forall @t319 @t322)) % 67.30/67.57 (define @t324 () (@list @t312 @t311)) % 67.30/67.57 (define @t325 () (forall @t324 @t322)) % 67.30/67.57 (define @t326 () (forall @t324 @t321)) % 67.30/67.57 (define @t327 () (@var "BOUND_VARIABLE_10165" $$unsorted)) % 67.30/67.57 (define @t328 () (or @t184 @t317 @t326)) % 67.30/67.57 (define @t329 () (tptp.segmentP (tptp.app @t102 @t327) @t1)) % 67.30/67.57 (define @t330 () (not (tptp.ssList @t327))) % 67.30/67.57 (define @t331 () (or @t197 @t330 @t329)) % 67.30/67.57 (define @t332 () (@list @t12 @t327)) % 67.30/67.57 (define @t333 () (forall @t332 @t331)) % 67.30/67.57 (define @t334 () (or @t184 @t317 @t333)) % 67.30/67.57 (define @t335 () (or @t317 @t333)) % 67.30/67.57 (define @t336 () (or @t330 @t329)) % 67.30/67.57 (define @t337 () (or @t197 @t336)) % 67.30/67.57 (define @t338 () (forall @t332 @t337)) % 67.30/67.57 (define @t339 () (@list @t327)) % 67.30/67.57 (define @t340 () (forall @t339 @t337)) % 67.30/67.57 (define @t341 () (forall @t339 @t336)) % 67.30/67.57 (define @t342 () (@list @t10)) % 67.30/67.57 (define @t343 () (or @t197 @t341)) % 67.30/67.57 (define @t344 () (or @t211 @t105)) % 67.30/67.57 (define @t345 () (forall @t14 @t344)) % 67.30/67.57 (define @t346 () (or @t197 @t345)) % 67.30/67.57 (define @t347 () (forall @t16 @t346)) % 67.30/67.57 (define @t348 () (or @t317 @t347)) % 67.30/67.57 (define @t349 () (or @t317 @t346)) % 67.30/67.57 (define @t350 () (or @t197 @t317 @t345)) % 67.30/67.57 (define @t351 () (or @t317 @t345)) % 67.30/67.57 (define @t352 () (or @t317 @t344)) % 67.30/67.57 (define @t353 () (or @t211 @t317 @t105)) % 67.30/67.57 (define @t354 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 67.30/67.57 (define @t355 () (tptp.ssList (tptp.cons @t354 @t2))) % 67.30/67.57 (define @t356 () (not (tptp.ssItem @t354))) % 67.30/67.57 (define @t357 () (or @t356 @t355)) % 67.30/67.57 (define @t358 () (or @t169 @t357)) % 67.30/67.57 (define @t359 () (forall (@list @t2 @t354) @t358)) % 67.30/67.57 (define @t360 () (@list @t354)) % 67.30/67.57 (define @t361 () (forall @t360 @t358)) % 67.30/67.57 (define @t362 () (forall @t360 @t357)) % 67.30/67.57 (define @t363 () (or @t169 @t362)) % 67.30/67.57 (define @t364 () (forall @t7 (or @t263 @t48))) % 67.30/67.57 (define @t365 () (tptp.ssList @t290)) % 67.30/67.57 (define @t366 () (or @t294 @t293 @t365)) % 67.30/67.57 (define @t367 () (@list tptp.nil)) % 67.30/67.57 (define @t368 () (tptp.segmentP tptp.nil tptp.nil)) % 67.30/67.57 (define @t369 () (or @t294 @t368)) % 67.30/67.57 (define @t370 () (tptp.segmentP (tptp.app @t291 tptp.nil) tptp.nil)) % 67.30/67.57 (define @t371 () (not @t365)) % 67.30/67.57 (define @t372 () (not @t368)) % 67.30/67.57 (define @t373 () (or @t294 @t294 @t372 @t371 @t294 @t370)) % 67.30/67.57 (define @t374 () (@list false false false false)) % 67.30/67.57 (define @t375 () (tptp.segmentP @t290 @t222)) % 67.30/67.57 (define @t376 () (and @t233 @t292 @t370)) % 67.30/67.57 (define @t377 () (@var "BOUND_VARIABLE_9104" $$unsorted)) % 67.30/67.57 (define @t378 () (= (tptp.neq @t2 @t377) (not (= @t2 @t377)))) % 67.30/67.57 (define @t379 () (not (tptp.ssList @t377))) % 67.30/67.57 (define @t380 () (or @t169 @t379 @t378)) % 67.30/67.57 (define @t381 () (or @t379 @t378)) % 67.30/67.57 (define @t382 () (or @t169 @t381)) % 67.30/67.57 (define @t383 () (@list @t2 @t377)) % 67.30/67.57 (define @t384 () (forall @t383 @t382)) % 67.30/67.57 (define @t385 () (@list @t377)) % 67.30/67.57 (define @t386 () (forall @t385 @t382)) % 67.30/67.57 (define @t387 () (forall @t385 @t381)) % 67.30/67.57 (define @t388 () (or @t169 @t387)) % 67.30/67.57 (define @t389 () (forall @t7 (or @t184 @t5))) % 67.30/67.57 (define @t390 () (tptp.neq tptp.nil @t290)) % 67.30/67.57 (define @t391 () (= tptp.nil @t290)) % 67.30/67.57 (define @t392 () (not @t391)) % 67.30/67.57 (define @t393 () (or @t294 @t371 (= @t390 @t392))) % 67.30/67.57 (define @t394 () (forall @t383 @t380)) % 67.30/67.57 (define @t395 () (= @t392 @t390)) % 67.30/67.57 (define @t396 () (or @t294 @t371 @t395)) % 67.30/67.57 (define @t397 () (@list @t394)) % 67.30/67.57 (define @t398 () (= @t2 @t18)) % 67.30/67.57 (define @t399 () (= @t21 (not (forall @t7 (or @t263 (not @t398)))))) % 67.30/67.57 (define @t400 () (and @t6 @t398)) % 67.30/67.57 (define @t401 () (forall @t7 (not @t400))) % 67.30/67.57 (define @t402 () (not @t401)) % 67.30/67.57 (define @t403 () (forall @t7 (or @t263 (not (= tptp.nil @t18))))) % 67.30/67.57 (define @t404 () (not @t403)) % 67.30/67.57 (define @t405 () (= @t85 @t404)) % 67.30/67.57 (define @t406 () (or @t294 @t405)) % 67.30/67.57 (define @t407 () (not @t405)) % 67.30/67.57 (define @t408 () (@list true false)) % 67.30/67.57 (define @t409 () (@list @t265)) % 67.30/67.57 (define @t410 () (or @t293 @t392)) % 67.30/67.57 (define @t411 () (not @t395)) % 67.30/67.57 (define @t412 () (tptp.neq @t222 @t290)) % 67.30/67.57 (define @t413 () (and @t233 @t390)) % 67.30/67.57 (define @t414 () (tptp.equalelemsP @t290)) % 67.30/67.57 (define @t415 () (or @t293 @t414)) % 67.30/67.57 (define @t416 () (@var "BOUND_VARIABLE_9903" $$unsorted)) % 67.30/67.57 (define @t417 () (@var "BOUND_VARIABLE_9901" $$unsorted)) % 67.30/67.57 (define @t418 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 67.30/67.57 (define @t419 () (= (tptp.frontsegP (tptp.cons @t2 @t417) (tptp.cons @t418 @t416)) (and (= @t2 @t418) (tptp.frontsegP @t417 @t416)))) % 67.30/67.57 (define @t420 () (not (tptp.ssList @t416))) % 67.30/67.57 (define @t421 () (not (tptp.ssList @t417))) % 67.30/67.57 (define @t422 () (not (tptp.ssItem @t418))) % 67.30/67.57 (define @t423 () (not @t8)) % 67.30/67.57 (define @t424 () (or @t423 @t422 @t421 @t420 @t419)) % 67.30/67.57 (define @t425 () (or @t422 @t421 @t420 @t419)) % 67.30/67.57 (define @t426 () (or @t423 @t425)) % 67.30/67.57 (define @t427 () (@list @t2 @t418 @t417 @t416)) % 67.30/67.57 (define @t428 () (forall @t427 @t426)) % 67.30/67.57 (define @t429 () (@list @t418 @t417 @t416)) % 67.30/67.57 (define @t430 () (forall @t429 @t426)) % 67.30/67.57 (define @t431 () (forall @t429 @t425)) % 67.30/67.57 (define @t432 () (@var "BOUND_VARIABLE_9877" $$unsorted)) % 67.30/67.57 (define @t433 () (@var "BOUND_VARIABLE_9875" $$unsorted)) % 67.30/67.57 (define @t434 () (or @t423 @t431)) % 67.30/67.57 (define @t435 () (= (tptp.frontsegP (tptp.cons @t2 @t433) (tptp.cons @t1 @t432)) (and @t3 (tptp.frontsegP @t433 @t432)))) % 67.30/67.57 (define @t436 () (not (tptp.ssList @t432))) % 67.30/67.57 (define @t437 () (not (tptp.ssList @t433))) % 67.30/67.57 (define @t438 () (or @t263 @t437 @t436 @t435)) % 67.30/67.57 (define @t439 () (@list @t1 @t433 @t432)) % 67.30/67.57 (define @t440 () (forall @t439 @t438)) % 67.30/67.57 (define @t441 () (or @t437 @t436 @t435)) % 67.30/67.57 (define @t442 () (or @t263 @t441)) % 67.30/67.57 (define @t443 () (forall @t439 @t442)) % 67.30/67.57 (define @t444 () (@list @t433 @t432)) % 67.30/67.57 (define @t445 () (forall @t444 @t442)) % 67.30/67.57 (define @t446 () (forall @t444 @t441)) % 67.30/67.57 (define @t447 () (@var "BOUND_VARIABLE_9856" $$unsorted)) % 67.30/67.57 (define @t448 () (or @t263 @t446)) % 67.30/67.57 (define @t449 () (= (tptp.frontsegP @t88 (tptp.cons @t1 @t447)) (and @t3 (tptp.frontsegP @t12 @t447)))) % 67.30/67.57 (define @t450 () (not (tptp.ssList @t447))) % 67.30/67.57 (define @t451 () (or @t197 @t450 @t449)) % 67.30/67.57 (define @t452 () (@list @t12 @t447)) % 67.30/67.57 (define @t453 () (forall @t452 @t451)) % 67.30/67.57 (define @t454 () (or @t450 @t449)) % 67.30/67.57 (define @t455 () (or @t197 @t454)) % 67.30/67.57 (define @t456 () (forall @t452 @t455)) % 67.30/67.57 (define @t457 () (@list @t447)) % 67.30/67.57 (define @t458 () (forall @t457 @t455)) % 67.30/67.57 (define @t459 () (forall @t457 @t454)) % 67.30/67.57 (define @t460 () (or @t197 @t459)) % 67.30/67.57 (define @t461 () (forall @t14 (or @t211 @t89))) % 67.30/67.57 (define @t462 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 67.30/67.57 (define @t463 () (tptp.cons @t462 @t1)) % 67.30/67.57 (define @t464 () (not (tptp.ssItem @t462))) % 67.30/67.57 (define @t465 () (@list @t1 @t462)) % 67.30/67.57 (define @t466 () (forall @t465 (or @t184 @t464 (not (= @t463 @t223))))) % 67.30/67.57 (define @t467 () (@quantifiers_skolemize @t466 0)) % 67.30/67.57 (define @t468 () (tptp.frontsegP (tptp.cons @t265 @t467) @t290)) % 67.30/67.57 (define @t469 () (tptp.frontsegP @t467 tptp.nil)) % 67.30/67.57 (define @t470 () (and (= @t265 @t265) @t469)) % 67.30/67.57 (define @t471 () (= @t468 @t470)) % 67.30/67.57 (define @t472 () (tptp.ssList @t467)) % 67.30/67.57 (define @t473 () (not @t472)) % 67.30/67.57 (define @t474 () (or @t293 @t293 @t473 @t294 @t471)) % 67.30/67.57 (define @t475 () (forall @t427 @t424)) % 67.30/67.57 (define @t476 () (= @t469 @t468)) % 67.30/67.57 (define @t477 () (or @t293 @t293 @t473 @t294 @t476)) % 67.30/67.57 (define @t478 () (not (= @t2 @t463))) % 67.30/67.57 (define @t479 () (or @t184 @t464 @t478)) % 67.30/67.57 (define @t480 () (not (forall @t465 @t479))) % 67.30/67.57 (define @t481 () (or @t169 @t163 @t480)) % 67.30/67.57 (define @t482 () (or @t163 @t480)) % 67.30/67.57 (define @t483 () (or @t464 @t478)) % 67.30/67.57 (define @t484 () (or @t184 @t483)) % 67.30/67.57 (define @t485 () (forall @t465 @t484)) % 67.30/67.57 (define @t486 () (@list @t462)) % 67.30/67.57 (define @t487 () (forall @t486 @t484)) % 67.30/67.57 (define @t488 () (forall @t486 @t483)) % 67.30/67.57 (define @t489 () (or @t184 @t488)) % 67.30/67.57 (define @t490 () (= @t2 @t54)) % 67.30/67.57 (define @t491 () (forall @t16 (or (not @t40) (not @t490)))) % 67.30/67.57 (define @t492 () (not @t491)) % 67.30/67.57 (define @t493 () (and @t27 @t492)) % 67.30/67.57 (define @t494 () (forall @t7 (not @t493))) % 67.30/67.57 (define @t495 () (not @t494)) % 67.30/67.57 (define @t496 () (and @t40 @t490)) % 67.30/67.57 (define @t497 () (forall @t16 (not @t496))) % 67.30/67.57 (define @t498 () (not @t497)) % 67.30/67.57 (define @t499 () (not (= @t223 @t463))) % 67.30/67.57 (define @t500 () (or @t184 @t464 @t499)) % 67.30/67.57 (define @t501 () (forall @t465 @t500)) % 67.30/67.57 (define @t502 () (not @t501)) % 67.30/67.57 (define @t503 () (or @t239 @t272 @t502)) % 67.30/67.57 (define @t504 () (forall @t9 @t481)) % 67.30/67.57 (define @t505 () (not @t466)) % 67.30/67.57 (define @t506 () (or @t239 @t234 @t505)) % 67.30/67.57 (define @t507 () (@quantifiers_skolemize @t466 1)) % 67.30/67.57 (define @t508 () (tptp.cons @t507 @t467)) % 67.30/67.57 (define @t509 () (= @t223 @t508)) % 67.30/67.57 (define @t510 () (not @t509)) % 67.30/67.57 (define @t511 () (tptp.ssItem @t507)) % 67.30/67.57 (define @t512 () (not @t511)) % 67.30/67.57 (define @t513 () (or @t473 @t512 @t510)) % 67.30/67.57 (define @t514 () (not @t513)) % 67.30/67.57 (define @t515 () (not (= @t508 @t223))) % 67.30/67.57 (define @t516 () (or @t473 @t512 @t515)) % 67.30/67.57 (define @t517 () (not @t516)) % 67.30/67.57 (define @t518 () (@list @t513)) % 67.30/67.57 (define @t519 () (or @t473 @t469)) % 67.30/67.57 (define @t520 () (@var "BOUND_VARIABLE_9349" $$unsorted)) % 67.30/67.57 (define @t521 () (= @t2 (tptp.tl (tptp.cons @t520 @t2)))) % 67.30/67.57 (define @t522 () (not (tptp.ssItem @t520))) % 67.30/67.57 (define @t523 () (or @t522 @t521)) % 67.30/67.57 (define @t524 () (or @t169 @t523)) % 67.30/67.57 (define @t525 () (forall (@list @t2 @t520) @t524)) % 67.30/67.57 (define @t526 () (@list @t520)) % 67.30/67.57 (define @t527 () (forall @t526 @t524)) % 67.30/67.57 (define @t528 () (forall @t526 @t523)) % 67.30/67.57 (define @t529 () (or @t169 @t528)) % 67.30/67.57 (define @t530 () (= @t2 @t70)) % 67.30/67.57 (define @t531 () (forall @t7 (or @t263 @t530))) % 67.30/67.57 (define @t532 () (= @t467 (tptp.tl @t508))) % 67.30/67.57 (define @t533 () (or @t473 @t512 @t532)) % 67.30/67.57 (define @t534 () (= @t2 @t121)) % 67.30/67.57 (define @t535 () (or @t169 @t163 @t534)) % 67.30/67.57 (define @t536 () (=> @t268 @t534)) % 67.30/67.57 (define @t537 () (tptp.tl @t223)) % 67.30/67.57 (define @t538 () (tptp.cons @t265 @t537)) % 67.30/67.57 (define @t539 () (= @t223 @t538)) % 67.30/67.57 (define @t540 () (or @t239 @t272 @t539)) % 67.30/67.57 (define @t541 () (forall @t9 @t535)) % 67.30/67.57 (define @t542 () (or @t239 @t234 @t539)) % 67.30/67.57 (define @t543 () (tptp.frontsegP @t223 @t290)) % 67.30/67.57 (define @t544 () (and @t539 @t509 @t532 @t468)) % 67.30/67.57 (define @t545 () (not @t414)) % 67.30/67.57 (define @t546 () (not @t375)) % 67.30/67.57 (define @t547 () (not @t543)) % 67.30/67.57 (define @t548 () (not @t412)) % 67.30/67.57 (define @t549 () (or @t371 @t548 @t547 @t546 @t545)) % 67.30/67.57 (define @t550 () (= @t228 @t288)) % 67.30/67.57 (define @t551 () (not @t550)) % 67.30/67.57 (define @t552 () (not @t246)) % 67.30/67.57 (define @t553 () (= @t228 @t552)) % 67.30/67.57 (define @t554 () (or @t242 @t294 @t553)) % 67.30/67.57 (define @t555 () (or @t242 @t294 @t550)) % 67.30/67.57 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 67.30/67.57 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 67.30/67.57 (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))))))))))) % 67.30/67.57 (assume @p4 @t24) % 67.30/67.57 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 67.30/67.57 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 67.30/67.57 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 67.30/67.57 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 67.30/67.57 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 67.30/67.57 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 67.30/67.57 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 67.30/67.57 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 67.30/67.57 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42)))))))))))))))) % 67.30/67.57 (assume @p14 (forall @t9 (=> @t17 (= @t43 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 67.30/67.57 (assume @p15 @t46) % 67.30/67.57 (assume @p16 @t51) % 67.30/67.57 (assume @p17 @t52) % 67.30/67.57 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 67.30/67.57 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 67.30/67.57 (assume @p20 @t62) % 67.30/67.57 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 67.30/67.57 (assume @p22 @t68) % 67.30/67.57 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 67.30/67.57 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 67.30/67.57 (assume @p25 @t74) % 67.30/67.57 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 67.30/67.57 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 67.30/67.57 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 67.30/67.57 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t78 @t77) @t3)))))) % 67.30/67.57 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t78 @t32) (tptp.leq @t2 @t12))))))))) % 67.30/67.57 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 67.30/67.57 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t77)))))) % 67.30/67.57 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not @t80))))))) % 67.30/67.57 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t82)))))))) % 67.30/67.57 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t83 @t80)))))) % 67.30/67.57 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t84))))))))) % 67.30/67.57 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t84))))))))) % 67.30/67.57 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 67.30/67.57 (assume @p39 (not @t85)) % 67.30/67.57 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 @t86) (tptp.frontsegP @t2 @t12))))))))) % 67.30/67.57 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 @t87) @t3)))))) % 67.30/67.57 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 67.30/67.57 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 67.30/67.57 (assume @p44 @t96) % 67.30/67.57 (assume @p45 @t98) % 67.30/67.57 (assume @p46 @t101) % 67.30/67.57 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 67.30/67.57 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 67.30/67.57 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 67.30/67.57 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t102 @t1))))))))) % 67.30/67.57 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 67.30/67.57 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 67.30/67.57 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 67.30/67.57 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3)))))) % 67.30/67.57 (assume @p55 @t104) % 67.30/67.57 (assume @p56 @t113) % 67.30/67.57 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 67.30/67.57 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t59)))) % 67.30/67.57 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t114)))) % 67.30/67.57 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 67.30/67.57 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t114)))) % 67.30/67.57 (assume @p62 (tptp.totalorderP tptp.nil)) % 67.30/67.57 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t114)))) % 67.30/67.57 (assume @p64 (tptp.strictorderP tptp.nil)) % 67.30/67.57 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t114)))) % 67.30/67.57 (assume @p66 (tptp.totalorderedP tptp.nil)) % 67.30/67.57 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t118) (or @t116 (and @t117 (tptp.totalorderedP @t1) (tptp.leq @t2 @t115))))))))) % 67.30/67.57 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t114)))) % 67.30/67.57 (assume @p69 (tptp.strictorderedP tptp.nil)) % 67.30/67.57 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t118) (or @t116 (and @t117 (tptp.strictorderedP @t1) (tptp.lt @t2 @t115))))))))) % 67.30/67.57 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t114)))) % 67.30/67.57 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 67.30/67.57 (assume @p73 @t120) % 67.30/67.57 (assume @p74 (tptp.equalelemsP tptp.nil)) % 67.30/67.57 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 67.30/67.57 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 67.30/67.57 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t117 @t65 (= @t115 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 67.30/67.57 (assume @p78 @t124) % 67.30/67.57 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t125)))))))) % 67.30/67.57 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t125)))))))) % 67.30/67.57 (assume @p81 @t129) % 67.30/67.57 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 67.30/67.57 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) (and @t116 @t59))))))) % 67.30/67.57 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 67.30/67.57 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 67.30/67.57 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 67.30/67.57 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t79 (tptp.geq @t1 @t2)) @t3)))))) % 67.30/67.57 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t79 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 67.30/67.57 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 67.30/67.57 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 67.30/67.57 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t78 @t41) @t82)))))))) % 67.30/67.57 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t78 (or @t3 @t81))))))) % 67.30/67.57 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 (and @t4 @t78))))))) % 67.30/67.57 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t83 (not (tptp.gt @t1 @t2)))))))) % 67.30/67.57 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t83 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 67.30/67.57 (assume @p96 @t153) % 67.30/67.57 (assume @p97 true) % 67.30/67.57 (step @p98 :rule refl :args (@t159)) % 67.30/67.57 (step @p99 :rule refl :args (@t161)) % 67.30/67.57 (step @p100 :rule refl :args (@t162)) % 67.30/67.57 (step @p101 :rule refl :args (@t163)) % 67.30/67.57 (step @p102 :rule eq-symm :args (@t156 tptp.nil)) % 67.30/67.57 (step @p103 :rule cong :premises (@p102) :args (@t164)) % 67.30/67.57 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t165)) % 67.30/67.57 (step @p105 :rule nary_cong :premises (@p104 @p100) :args (@t166)) % 67.30/67.57 (step @p106 :rule refl :args (@t167)) % 67.30/67.57 (step @p107 :rule refl :args (@t168)) % 67.30/67.57 (step @p108 :rule refl :args (@t169)) % 67.30/67.57 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p99 @p98) :args (@t170)) % 67.30/67.57 (step @p110 :rule aci_norm :args ((= @t172 @t170))) % 67.30/67.57 (step @p111 :rule trans :premises (@p110 @p109)) % 67.30/67.57 (step @p112 :rule cong :premises (@p111) :args (@t174)) % 67.30/67.57 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t176) @t174))) % 67.30/67.57 (step @p114 :rule alpha_equiv :args (@t177 (@list @t156) @t178)) % 67.30/67.57 (step @p115 :rule refl :args (@t168)) % 67.30/67.57 (step @p116 :rule refl :args (@t169)) % 67.30/67.57 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t179)) % 67.30/67.57 (step @p118 :rule quant-miniscope-or :args ((= @t176 @t179))) % 67.30/67.57 (step @p119 :rule trans :premises (@p118 @p117)) % 67.30/67.57 (step @p120 :rule symm :premises (@p119)) % 67.30/67.57 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t186))) % 67.30/67.57 (step @p122 :rule trans :premises (@p121 @p113)) % 67.30/67.57 (step @p123 :rule trans :premises (@p122 @p112)) % 67.30/67.57 (step @p124 :rule aci_norm :args ((= (or @t169 @t186) @t186))) % 67.30/67.57 (step @p125 :rule bool-impl-elim :args (@t17 @t186)) % 67.30/67.57 (step @p126 :rule trans :premises (@p125 @p124)) % 67.30/67.57 (step @p127 :rule cong :premises (@p126) :args ((forall @t9 (=> @t17 @t186)))) % 67.30/67.57 (step @p128 :rule trans :premises (@p127 @p123)) % 67.30/67.57 (step @p129 :rule quant-miniscope-or :args ((= (forall @t7 @t187) @t186))) % 67.30/67.57 (step @p130 :rule aci_norm :args ((= @t188 @t187))) % 67.30/67.57 (step @p131 :rule cong :premises (@p130) :args ((forall @t7 @t188))) % 67.30/67.57 (step @p132 :rule trans :premises (@p131 @p129)) % 67.30/67.57 (step @p133 :rule aci_norm :args ((= (or @t184 @t189) @t188))) % 67.30/67.57 (step @p134 :rule bool-impl-elim :args (@t27 @t189)) % 67.30/67.57 (step @p135 :rule trans 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67.30/67.57 (step @p815 :rule trans :premises (@p814 @p810)) % 67.30/67.57 (step @p816 :rule nary_cong :premises (@p248 @p815) :args (@t57)) % 67.30/67.57 (step @p817 :rule cong :premises (@p816) :args (@t58)) % 67.30/67.57 (step @p818 :rule trans :premises (@p817 @p805)) % 67.30/67.57 (step @p819 :rule nary_cong :premises (@p213 @p818) :args (@t60)) % 67.30/67.57 (step @p820 :rule cong :premises (@p252 @p819) :args (@t61)) % 67.30/67.57 (step @p821 :rule cong :premises (@p820) :args (@t62)) % 67.30/67.57 (step @p822 :rule trans :premises (@p821 @p785)) % 67.30/67.57 (step @p823 :rule eq_resolve :premises (@p20 @p822)) % 67.30/67.57 (step @p824 :rule eq-symm :args (@t223 @t463)) % 67.30/67.57 (step @p825 :rule cong :premises (@p824) :args (@t499)) % 67.30/67.57 (step @p826 :rule refl :args (@t464)) % 67.30/67.57 (step @p827 :rule nary_cong :premises (@p162 @p826 @p825) :args (@t500)) % 67.30/67.57 (step @p828 :rule cong :premises (@p827) :args (@t501)) % 67.30/67.57 (step @p829 :rule cong :premises (@p828) :args (@t502)) % 67.30/67.57 (step @p830 :rule nary_cong :premises (@p268 @p330 @p829) :args (@t503)) % 67.30/67.57 (step @p831 :rule refl :args (@t504)) % 67.30/67.57 (step @p832 :rule cong :premises (@p831 @p830) :args ((=> @t504 @t503))) % 67.30/67.57 (assume-push @p1072 @t504) % 67.30/67.57 (step @p834 :rule instantiate :premises (@p823) :args (@t275)) % 67.30/67.57 (step-pop @p1073 :rule scope :premises (@p834)) % 67.30/67.57 (step @p835 :rule process_scope :premises (@p1073) :args (@t503)) % 67.30/67.57 (step @p837 :rule eq_resolve :premises (@p835 @p832)) % 67.30/67.57 (step @p838 :rule implies_elim :premises (@p837)) % 67.30/67.57 (step @p839 :rule chain_m_resolution :premises (@p838 @p823) :args (@t506 @t277 (@list @t504))) % 67.30/67.57 (step @p840 :rule cnf_or_pos :args (@t506)) % 67.30/67.57 (step @p841 :rule reordering :premises (@p840) :args ((or @t239 @t234 @t505 (not @t506)))) % 67.30/67.57 (step @p842 :rule chain_m_resolution :premises (@p841 @p443 @p437 @p839) :args (@t505 @t289 (@list @t238 @t234 @t506))) % 67.30/67.57 (step @p843 :rule refl :args (@t514)) % 67.30/67.57 (step @p844 :rule bool-double-not-elim :args (@t466)) % 67.30/67.57 (step @p845 :rule nary_cong :premises (@p844 @p843) :args ((or (not @t505) @t514))) % 67.30/67.57 (step @p846 :rule eq-symm :args (@t508 @t223)) % 67.30/67.57 (step @p847 :rule cong :premises (@p846) :args (@t515)) % 67.30/67.57 (step @p848 :rule refl :args (@t512)) % 67.30/67.57 (step @p849 :rule nary_cong :premises (@p770 @p848 @p847) :args (@t516)) % 67.30/67.57 (step @p850 :rule cong :premises (@p849) :args (@t517)) % 67.30/67.57 (step @p851 :rule refl :args (@t505)) % 67.30/67.57 (step @p852 :rule cong :premises (@p851 @p850) :args ((=> @t505 @t517))) % 67.30/67.57 (assume-push @p1074 @t505) % 67.30/67.57 (step @p854 :rule skolemize :premises (@p1074)) % 67.30/67.57 (step-pop @p1075 :rule scope :premises (@p854)) % 67.30/67.57 (step @p855 :rule process_scope :premises (@p1075) :args (@t517)) % 67.30/67.57 (step @p857 :rule eq_resolve :premises (@p855 @p852)) % 67.30/67.57 (step @p858 :rule implies_elim :premises (@p857)) % 67.30/67.57 (step @p859 :rule eq_resolve :premises (@p858 @p845)) % 67.30/67.57 (step @p860 :rule chain_m_resolution :premises (@p859 @p842) :args (@t514 @t251 (@list @t466))) % 67.30/67.57 (step @p861 :rule bool-double-not-elim :args (@t472)) % 67.30/67.57 (step @p862 :rule refl :args (@t513)) % 67.30/67.57 (step @p863 :rule nary_cong :premises (@p862 @p861) :args ((or @t513 (not @t473)))) % 67.30/67.57 (step @p864 :rule cnf_or_neg :args (@t513 0)) % 67.30/67.57 (step @p865 :rule eq_resolve :premises (@p864 @p863)) % 67.30/67.57 (step @p866 :rule reordering :premises (@p865) :args ((or @t472 @t513))) % 67.30/67.57 (step @p867 :rule chain_m_resolution :premises (@p866 @p860) :args (@t472 @t251 @t518)) % 67.30/67.57 (step @p868 :rule cnf_or_pos :args (@t477)) % 67.30/67.57 (step @p869 :rule factoring :premises (@p868)) % 67.30/67.57 (step @p870 :rule reordering :premises (@p869) :args ((or @t294 @t293 @t473 @t476 (not @t477)))) % 67.30/67.57 (step @p871 :rule chain_m_resolution :premises (@p870 @p17 @p446 @p867 @p781) :args (@t476 @t374 (@list @t52 @t271 @t472 @t477))) % 67.30/67.57 (step @p872 :rule bool-impl-elim :args (@t17 @t97)) % 67.30/67.57 (step @p873 :rule cong :premises (@p872) :args (@t98)) % 67.30/67.57 (step @p874 :rule eq_resolve :premises (@p45 @p873)) % 67.30/67.57 (step @p875 :rule instantiate :premises (@p874) :args ((@list @t467))) % 67.30/67.57 (step @p876 :rule cnf_or_pos :args (@t519)) % 67.30/67.57 (step @p877 :rule reordering :premises (@p876) :args ((or @t473 @t469 (not @t519)))) % 67.30/67.57 (step @p878 :rule chain_m_resolution :premises (@p877 @p867 @p875) :args (@t469 @t285 (@list @t472 @t519))) % 67.30/67.57 (step @p879 :rule cnf_equiv_pos1 :args (@t476)) % 67.30/67.57 (step @p880 :rule reordering :premises (@p879) :args ((or (not @t469) @t468 (not @t476)))) % 67.30/67.57 (step @p881 :rule chain_m_resolution :premises (@p880 @p878 @p871) :args (@t468 @t285 (@list @t469 @t476))) % 67.30/67.57 (step @p882 :rule aci_norm :args ((= @t524 (or @t169 @t522 @t521)))) % 67.30/67.57 (step @p883 :rule cong :premises (@p882) :args (@t525)) % 67.30/67.57 (step @p884 :rule quant-merge-prenex :args ((= (forall @t9 @t527) @t525))) % 67.30/67.57 (step @p885 :rule alpha_equiv :args (@t528 (@list @t520) @t178)) % 67.30/67.57 (step @p886 :rule nary_cong :premises (@p116 @p885) :args (@t529)) % 67.30/67.57 (step @p887 :rule quant-miniscope-or :args ((= @t527 @t529))) % 67.30/67.57 (step @p888 :rule trans :premises (@p887 @p886)) % 67.30/67.57 (step @p889 :rule symm :premises (@p888)) % 67.30/67.57 (step @p890 :rule cong :premises (@p889) :args ((forall @t9 (or @t169 @t531)))) % 67.30/67.57 (step @p891 :rule trans :premises (@p890 @p884)) % 67.30/67.57 (step @p892 :rule trans :premises (@p891 @p883)) % 67.30/67.57 (step @p893 :rule bool-impl-elim :args (@t17 @t531)) % 67.30/67.57 (step @p894 :rule cong :premises (@p893) :args ((forall @t9 (=> @t17 @t531)))) % 67.30/67.57 (step @p895 :rule trans :premises (@p894 @p892)) % 67.30/67.57 (step @p896 :rule bool-impl-elim :args (@t6 @t530)) % 67.30/67.57 (step @p897 :rule cong :premises (@p896) :args ((forall @t7 (=> @t6 @t530)))) % 67.30/67.57 (step @p898 :rule eq-symm :args (@t70 @t2)) % 67.30/67.57 (step @p899 :rule cong :premises (@p634 @p898) :args (@t71)) % 67.30/67.57 (step @p900 :rule cong :premises (@p899) :args (@t72)) % 67.30/67.57 (step @p901 :rule trans :premises (@p900 @p897)) % 67.30/67.57 (step @p902 :rule cong :premises (@p252 @p901) :args (@t73)) % 67.30/67.57 (step @p903 :rule cong :premises (@p902) :args (@t74)) % 67.30/67.57 (step @p904 :rule trans :premises (@p903 @p895)) % 67.30/67.57 (step @p905 :rule eq_resolve :premises (@p25 @p904)) % 67.30/67.57 (step @p906 :rule instantiate :premises (@p905) :args ((@list @t467 @t507))) % 67.30/67.57 (step @p907 :rule bool-double-not-elim :args (@t511)) % 67.30/67.57 (step @p908 :rule nary_cong :premises (@p862 @p907) :args ((or @t513 (not @t512)))) % 67.30/67.57 (step @p909 :rule cnf_or_neg :args (@t513 1)) % 67.30/67.57 (step @p910 :rule eq_resolve :premises (@p909 @p908)) % 67.30/67.57 (step @p911 :rule reordering :premises (@p910) :args ((or @t511 @t513))) % 67.30/67.57 (step @p912 :rule chain_m_resolution :premises (@p911 @p860) :args (@t511 @t251 @t518)) % 67.30/67.57 (step @p913 :rule cnf_or_pos :args (@t533)) % 67.30/67.57 (step @p914 :rule reordering :premises (@p913) :args ((or @t473 @t512 @t532 (not @t533)))) % 67.30/67.57 (step @p915 :rule chain_m_resolution :premises (@p914 @p867 @p912 @p906) :args (@t532 @t296 (@list @t472 @t511 @t533))) % 67.30/67.57 (step @p916 :rule bool-double-not-elim :args (@t509)) % 67.30/67.57 (step @p917 :rule nary_cong :premises (@p862 @p916) :args ((or @t513 (not @t510)))) % 67.30/67.57 (step @p918 :rule cnf_or_neg :args (@t513 2)) % 67.30/67.57 (step @p919 :rule eq_resolve :premises (@p918 @p917)) % 67.30/67.57 (step @p920 :rule reordering :premises (@p919) :args ((or @t509 @t513))) % 67.30/67.57 (step @p921 :rule chain_m_resolution :premises (@p920 @p860) :args (@t509 @t251 @t518)) % 67.30/67.57 (step @p922 :rule aci_norm :args ((= (or @t169 (or @t163 @t534)) @t535))) % 67.30/67.57 (step @p923 :rule refl :args (@t534)) % 67.30/67.57 (step @p924 :rule nary_cong :premises (@p313 @p923) :args ((or @t269 @t534))) % 67.30/67.57 (step @p925 :rule bool-impl-elim :args (@t268 @t534)) % 67.30/67.57 (step @p926 :rule trans :premises (@p925 @p924)) % 67.30/67.57 (step @p927 :rule nary_cong :premises (@p116 @p926) :args ((or @t169 @t536))) % 67.30/67.57 (step @p928 :rule trans :premises (@p927 @p922)) % 67.30/67.57 (step @p929 :rule bool-impl-elim :args (@t17 @t536)) % 67.30/67.57 (step @p930 :rule trans :premises (@p929 @p928)) % 67.30/67.57 (step @p931 :rule cong :premises (@p930) :args ((forall @t9 (=> @t17 @t536)))) % 67.30/67.57 (step @p932 :rule eq-symm :args (@t121 @t2)) % 67.30/67.57 (step @p933 :rule cong :premises (@p323 @p932) :args (@t122)) % 67.30/67.57 (step @p934 :rule cong :premises (@p252 @p933) :args (@t123)) % 67.30/67.57 (step @p935 :rule cong :premises (@p934) :args (@t124)) % 67.30/67.57 (step @p936 :rule trans :premises (@p935 @p931)) % 67.30/67.57 (step @p937 :rule eq_resolve :premises (@p78 @p936)) % 67.30/67.57 (step @p938 :rule refl :args (@t539)) % 67.30/67.57 (step @p939 :rule nary_cong :premises (@p268 @p330 @p938) :args (@t540)) % 67.30/67.57 (step @p940 :rule refl :args (@t541)) % 67.30/67.57 (step @p941 :rule cong :premises (@p940 @p939) :args ((=> @t541 @t540))) % 67.30/67.57 (assume-push @p1076 @t541) % 67.30/67.57 (step @p943 :rule instantiate :premises (@p937) :args (@t275)) % 67.30/67.57 (step-pop @p1077 :rule scope :premises (@p943)) % 67.30/67.57 (step @p944 :rule process_scope :premises (@p1077) :args (@t540)) % 67.30/67.57 (step @p946 :rule eq_resolve :premises (@p944 @p941)) % 67.30/67.57 (step @p947 :rule implies_elim :premises (@p946)) % 67.30/67.57 (step @p948 :rule chain_m_resolution :premises (@p947 @p937) :args (@t542 @t277 (@list @t541))) % 67.30/67.57 (step @p949 :rule cnf_or_pos :args (@t542)) % 67.30/67.57 (step @p950 :rule reordering :premises (@p949) :args ((or @t239 @t234 @t539 (not @t542)))) % 67.30/67.57 (step @p951 :rule chain_m_resolution :premises (@p950 @p443 @p437 @p948) :args (@t539 @t289 (@list @t238 @t234 @t542))) % 67.30/67.57 (assume-push @p1078 @t539) % 67.30/67.57 (assume-push @p1079 @t509) % 67.30/67.57 (assume-push @p1080 @t532) % 67.30/67.57 (assume-push @p1081 @t468) % 67.30/67.57 (assume-push @p1082 @t468) % 67.30/67.57 (assume-push @p1083 @t532) % 67.30/67.57 (assume-push @p1084 @t509) % 67.30/67.57 (assume-push @p1085 @t539) % 67.30/67.57 (step @p960 :rule true_intro :premises (@p1081)) % 67.30/67.57 (step @p673 :rule refl :args (@t290)) % 67.30/67.57 (step @p961 :rule symm :premises (@p1080)) % 67.30/67.57 (step @p962 :rule cong :premises (@p1079) :args (@t537)) % 67.30/67.57 (step @p963 :rule trans :premises (@p962 @p961)) % 67.30/67.57 (step @p964 :rule refl :args (@t265)) % 67.30/67.57 (step @p965 :rule cong :premises (@p964 @p963) :args (@t538)) % 67.30/67.57 (step @p966 :rule trans :premises (@p1078 @p965)) % 67.30/67.57 (step @p967 :rule cong :premises (@p966 @p673) :args (@t543)) % 67.30/67.57 (step @p968 :rule trans :premises (@p967 @p960)) % 67.30/67.57 (step @p969 :rule true_elim :premises (@p968)) % 67.30/67.57 (step-pop @p1086 :rule scope :premises (@p969)) % 67.30/67.57 (step-pop @p1087 :rule scope :premises (@p1086)) % 67.30/67.57 (step-pop @p1088 :rule scope :premises (@p1087)) % 67.30/67.57 (step-pop @p1089 :rule scope :premises (@p1088)) % 67.30/67.57 (step @p970 :rule process_scope :premises (@p1089) :args (@t543)) % 67.30/67.57 (step @p975 :rule and_intro :premises (@p1081 @p1080 @p1079 @p1078)) % 67.30/67.57 (step @p976 :rule modus_ponens :premises (@p975 @p970)) % 67.30/67.57 (step-pop @p1090 :rule scope :premises (@p976)) % 67.30/67.57 (step-pop @p1091 :rule scope :premises (@p1090)) % 67.30/67.57 (step-pop @p1092 :rule scope :premises (@p1091)) % 67.30/67.57 (step-pop @p1093 :rule scope :premises (@p1092)) % 67.30/67.57 (step @p977 :rule process_scope :premises (@p1093) :args (@t543)) % 67.30/67.57 (step @p982 :rule implies_elim :premises (@p977)) % 67.30/67.57 (step @p983 :rule cnf_and_neg :args (@t544)) % 67.30/67.57 (step @p984 :rule resolution :premises (@p983 @p982) :args (true @t544)) % 67.30/67.57 (step @p985 :rule reordering :premises (@p984) :args ((or (not @t539) @t510 (not @t532) @t543 (not @t468)))) % 67.30/67.57 (step @p986 :rule chain_m_resolution :premises (@p985 @p951 @p921 @p915 @p881) :args (@t543 @t374 (@list @t539 @t509 @t532 @t468))) % 67.30/67.57 (step @p987 :rule cnf_or_pos :args (@t549)) % 67.30/67.57 (step @p988 :rule reordering :premises (@p987) :args ((or @t545 @t371 @t548 @t547 @t546 (not @t549)))) % 67.30/67.57 (step @p989 :rule chain_m_resolution :premises (@p988 @p551 @p986 @p703 @p696 @p689 @p667 @p589 @p562 @p449) :args (@t288 (@list false false false false false false false false false) (@list @t365 @t543 @t549 @t414 @t412 @t390 @t375 @t370 @t292))) % 67.30/67.57 (step @p990 :rule bool-double-not-elim :args (@t234)) % 67.30/67.57 (step @p991 :rule refl :args (@t236)) % 67.30/67.57 (step @p992 :rule nary_cong :premises (@p991 @p990) :args ((or @t236 (not @t235)))) % 67.30/67.57 (step @p993 :rule cnf_or_neg :args (@t236 0)) % 67.30/67.57 (step @p994 :rule eq_resolve :premises (@p993 @p992)) % 67.30/67.57 (step @p995 :rule reordering :premises (@p994) :args ((or @t234 @t236))) % 67.30/67.57 (step @p996 :rule chain_m_resolution :premises (@p995 @p437) :args (@t236 @t251 (@list @t234))) % 67.30/67.57 (step @p997 :rule chain_m_resolution :premises (@p401 @p400 @p996) :args ((not @t232) @t408 (@list @t237 @t236))) % 67.30/67.57 (step @p998 :rule chain_m_resolution :premises (@p407 @p997) :args ((not @t229) @t251 (@list @t232))) % 67.30/67.57 (step @p999 :rule chain_m_resolution :premises (@p409 @p998 @p346) :args (@t286 @t408 (@list @t229 @t226))) % 67.30/67.57 (step @p1000 :rule bool-double-not-elim :args (@t233)) % 67.30/67.57 (step @p1001 :rule refl :args (@t228)) % 67.30/67.57 (step @p1002 :rule refl :args (@t551)) % 67.30/67.57 (step @p1003 :rule nary_cong :premises (@p1002 @p1001 @p1000) :args ((or @t551 @t228 (not @t288)))) % 67.30/67.57 (step @p1004 :rule cnf_equiv_pos2 :args (@t550)) % 67.30/67.57 (step @p1005 :rule eq_resolve :premises (@p1004 @p1003)) % 67.30/67.57 (step @p1006 :rule reordering :premises (@p1005) :args ((or @t228 @t233 @t551))) % 67.30/67.57 (step @p1007 :rule chain_m_resolution :premises (@p1006 @p999 @p989) :args (@t551 (@list true true) (@list @t228 @t233))) % 67.30/67.57 (step @p1008 :rule cong :premises (@p264) :args (@t552)) % 67.30/67.57 (step @p1009 :rule cong :premises (@p1001 @p1008) :args (@t553)) % 67.30/67.57 (step @p1010 :rule nary_cong :premises (@p270 @p612 @p1009) :args (@t554)) % 67.30/67.57 (step @p1011 :rule cong :premises (@p614 @p1010) :args ((=> @t394 @t554))) % 67.30/67.57 (assume-push @p1094 @t394) % 67.30/67.57 (step @p1013 :rule instantiate :premises (@p609) :args ((@list @t222 tptp.nil))) % 67.30/67.57 (step-pop @p1095 :rule scope :premises (@p1013)) % 67.30/67.57 (step @p1014 :rule process_scope :premises (@p1095) :args (@t554)) % 67.30/67.57 (step @p1016 :rule eq_resolve :premises (@p1014 @p1011)) % 67.30/67.57 (step @p1017 :rule implies_elim :premises (@p1016)) % 67.30/67.57 (step @p1018 :rule chain_m_resolution :premises (@p1017 @p609) :args (@t555 @t277 @t397)) % 67.30/67.57 (step @p1019 :rule cnf_or_pos :args (@t555)) % 67.30/67.57 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t294 @t242 @t550 (not @t555)))) % 67.30/67.57 (step @p1021 false :rule chain_m_resolution :premises (@p1020 @p1018 @p1007 @p289 @p17) :args (false (@list false true false false) (@list @t555 @t550 @t241 @t52))) % 67.30/67.57 ) % 67.30/67.57 % SZS output end Proof % 67.30/67.57 % cvc5 exiting %------------------------------------------------------------------------------