%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC298+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 : n017.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 08:58:46 AM UTC 2026 % Result : Theorem 74.84s 75.12s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC298+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:37:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 74.84/75.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 74.84/75.12 --- Run --no-e-matching --full-saturate-quant at 6... % 74.84/75.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 74.84/75.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 74.84/75.12 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 74.84/75.12 --- Run --trigger-sel=max --full-saturate-quant at 15... % 74.84/75.12 % SZS status Theorem % 74.84/75.12 % SZS output start Proof % 74.84/75.12 ( % 74.84/75.12 (declare-sort $$unsorted 0) % 74.84/75.12 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 74.84/75.12 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 74.84/75.12 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 74.84/75.12 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 74.84/75.12 (declare-const tptp.nil $$unsorted) % 74.84/75.12 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.ssList (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 74.84/75.12 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 74.84/75.12 (define @t1 () (@var "V" $$unsorted)) % 74.84/75.12 (define @t2 () (@var "U" $$unsorted)) % 74.84/75.12 (define @t3 () (= @t2 @t1)) % 74.84/75.12 (define @t4 () (not @t3)) % 74.84/75.12 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 74.84/75.12 (define @t6 () (tptp.ssItem @t1)) % 74.84/75.12 (define @t7 () (@list @t1)) % 74.84/75.12 (define @t8 () (tptp.ssItem @t2)) % 74.84/75.12 (define @t9 () (@list @t2)) % 74.84/75.12 (define @t10 () (@var "X" $$unsorted)) % 74.84/75.12 (define @t11 () (tptp.cons @t1 @t10)) % 74.84/75.12 (define @t12 () (@var "W" $$unsorted)) % 74.84/75.12 (define @t13 () (tptp.ssList @t10)) % 74.84/75.12 (define @t14 () (@list @t10)) % 74.84/75.12 (define @t15 () (tptp.ssList @t12)) % 74.84/75.12 (define @t16 () (@list @t12)) % 74.84/75.12 (define @t17 () (tptp.ssList @t2)) % 74.84/75.12 (define @t18 () (tptp.cons @t1 tptp.nil)) % 74.84/75.12 (define @t19 () (tptp.app @t1 @t12)) % 74.84/75.12 (define @t20 () (tptp.frontsegP @t2 @t1)) % 74.84/75.12 (define @t21 () (tptp.ssList @t1)) % 74.84/75.12 (define @t22 () (tptp.app @t12 @t1)) % 74.84/75.12 (define @t23 () (tptp.rearsegP @t2 @t1)) % 74.84/75.12 (define @t24 () (tptp.segmentP @t2 @t1)) % 74.84/75.12 (define @t25 () (tptp.leq @t12 @t1)) % 74.84/75.12 (define @t26 () (tptp.leq @t1 @t12)) % 74.84/75.12 (define @t27 () (@var "Z" $$unsorted)) % 74.84/75.12 (define @t28 () (@var "Y" $$unsorted)) % 74.84/75.12 (define @t29 () (tptp.app @t10 (tptp.cons @t1 @t28))) % 74.84/75.12 (define @t30 () (tptp.app @t29 (tptp.cons @t12 @t27))) % 74.84/75.12 (define @t31 () (= @t30 @t2)) % 74.84/75.12 (define @t32 () (tptp.ssList @t27)) % 74.84/75.12 (define @t33 () (@list @t27)) % 74.84/75.12 (define @t34 () (tptp.ssList @t28)) % 74.84/75.12 (define @t35 () (@list @t28)) % 74.84/75.12 (define @t36 () (tptp.ssItem @t12)) % 74.84/75.12 (define @t37 () (tptp.lt @t1 @t12)) % 74.84/75.12 (define @t38 () (=> @t31 @t37)) % 74.84/75.12 (define @t39 () (=> @t32 @t38)) % 74.84/75.12 (define @t40 () (forall @t33 @t39)) % 74.84/75.12 (define @t41 () (=> @t34 @t40)) % 74.84/75.12 (define @t42 () (forall @t35 @t41)) % 74.84/75.12 (define @t43 () (=> @t13 @t42)) % 74.84/75.12 (define @t44 () (forall @t14 @t43)) % 74.84/75.12 (define @t45 () (=> @t36 @t44)) % 74.84/75.12 (define @t46 () (forall @t16 @t45)) % 74.84/75.12 (define @t47 () (=> @t6 @t46)) % 74.84/75.12 (define @t48 () (forall @t7 @t47)) % 74.84/75.12 (define @t49 () (tptp.strictorderedP @t2)) % 74.84/75.12 (define @t50 () (= @t49 @t48)) % 74.84/75.12 (define @t51 () (=> @t17 @t50)) % 74.84/75.12 (define @t52 () (forall @t9 @t51)) % 74.84/75.12 (define @t53 () (= @t1 @t12)) % 74.84/75.12 (define @t54 () (tptp.cons @t1 @t2)) % 74.84/75.12 (define @t55 () (tptp.ssList @t54)) % 74.84/75.12 (define @t56 () (forall @t7 (=> @t6 @t55))) % 74.84/75.12 (define @t57 () (=> @t17 @t56)) % 74.84/75.12 (define @t58 () (forall @t9 @t57)) % 74.84/75.12 (define @t59 () (tptp.ssList tptp.nil)) % 74.84/75.12 (define @t60 () (not (= @t54 @t2))) % 74.84/75.12 (define @t61 () (=> @t6 @t60)) % 74.84/75.12 (define @t62 () (forall @t7 @t61)) % 74.84/75.12 (define @t63 () (=> @t17 @t62)) % 74.84/75.12 (define @t64 () (forall @t9 @t63)) % 74.84/75.12 (define @t65 () (= @t1 @t2)) % 74.84/75.12 (define @t66 () (tptp.cons @t12 @t1)) % 74.84/75.12 (define @t67 () (= tptp.nil @t2)) % 74.84/75.12 (define @t68 () (tptp.hd @t2)) % 74.84/75.12 (define @t69 () (not @t67)) % 74.84/75.12 (define @t70 () (tptp.tl @t2)) % 74.84/75.12 (define @t71 () (tptp.app @t2 @t1)) % 74.84/75.12 (define @t72 () (tptp.ssList @t71)) % 74.84/75.12 (define @t73 () (forall @t7 (=> @t21 @t72))) % 74.84/75.12 (define @t74 () (=> @t17 @t73)) % 74.84/75.12 (define @t75 () (forall @t9 @t74)) % 74.84/75.12 (define @t76 () (tptp.app @t1 @t2)) % 74.84/75.12 (define @t77 () (= (tptp.cons @t12 @t76) (tptp.app @t66 @t2))) % 74.84/75.12 (define @t78 () (forall @t16 (=> @t36 @t77))) % 74.84/75.12 (define @t79 () (=> @t21 @t78)) % 74.84/75.12 (define @t80 () (forall @t7 @t79)) % 74.84/75.12 (define @t81 () (=> @t17 @t80)) % 74.84/75.12 (define @t82 () (forall @t9 @t81)) % 74.84/75.12 (define @t83 () (tptp.app tptp.nil @t2)) % 74.84/75.12 (define @t84 () (=> @t17 (= @t83 @t2))) % 74.84/75.12 (define @t85 () (forall @t9 @t84)) % 74.84/75.12 (define @t86 () (tptp.leq @t1 @t2)) % 74.84/75.12 (define @t87 () (tptp.leq @t2 @t1)) % 74.84/75.12 (define @t88 () (tptp.geq @t2 @t1)) % 74.84/75.12 (define @t89 () (tptp.lt @t1 @t2)) % 74.84/75.12 (define @t90 () (not @t89)) % 74.84/75.12 (define @t91 () (tptp.lt @t2 @t1)) % 74.84/75.12 (define @t92 () (=> @t91 @t90)) % 74.84/75.12 (define @t93 () (forall @t7 (=> @t6 @t92))) % 74.84/75.12 (define @t94 () (=> @t8 @t93)) % 74.84/75.12 (define @t95 () (forall @t9 @t94)) % 74.84/75.12 (define @t96 () (tptp.lt @t2 @t12)) % 74.84/75.12 (define @t97 () (tptp.gt @t2 @t1)) % 74.84/75.12 (define @t98 () (tptp.memberP @t12 @t2)) % 74.84/75.12 (define @t99 () (tptp.app @t12 @t2)) % 74.84/75.12 (define @t100 () (tptp.cons @t2 tptp.nil)) % 74.84/75.12 (define @t101 () (tptp.hd @t1)) % 74.84/75.12 (define @t102 () (= tptp.nil @t1)) % 74.84/75.12 (define @t103 () (not @t102)) % 74.84/75.12 (define @t104 () (tptp.cons @t2 @t1)) % 74.84/75.12 (define @t105 () (tptp.strictorderedP @t100)) % 74.84/75.12 (define @t106 () (forall @t9 (=> @t8 @t105))) % 74.84/75.12 (define @t107 () (= @t12 @t2)) % 74.84/75.12 (define @t108 () (= (tptp.app @t71 @t12) (tptp.app @t2 @t19))) % 74.84/75.12 (define @t109 () (forall @t16 (=> @t15 @t108))) % 74.84/75.12 (define @t110 () (=> @t21 @t109)) % 74.84/75.12 (define @t111 () (forall @t7 @t110)) % 74.84/75.12 (define @t112 () (=> @t17 @t111)) % 74.84/75.12 (define @t113 () (forall @t9 @t112)) % 74.84/75.12 (define @t114 () (and @t102 @t67)) % 74.84/75.12 (define @t115 () (= tptp.nil @t71)) % 74.84/75.12 (define @t116 () (= @t115 @t114)) % 74.84/75.12 (define @t117 () (=> @t21 @t116)) % 74.84/75.12 (define @t118 () (forall @t7 @t117)) % 74.84/75.12 (define @t119 () (=> @t17 @t118)) % 74.84/75.12 (define @t120 () (forall @t9 @t119)) % 74.84/75.12 (define @t121 () (not (= tptp.nil @t12))) % 74.84/75.12 (define @t122 () (not (= tptp.nil @t10))) % 74.84/75.12 (define @t123 () (or @t122 @t121)) % 74.84/75.12 (define @t124 () (@var "X4" $$unsorted)) % 74.84/75.12 (define @t125 () (@var "X5" $$unsorted)) % 74.84/75.12 (define @t126 () (tptp.leq @t125 @t124)) % 74.84/75.12 (define @t127 () (tptp.memberP @t10 @t125)) % 74.84/75.12 (define @t128 () (= @t124 @t125)) % 74.84/75.12 (define @t129 () (not @t128)) % 74.84/75.12 (define @t130 () (tptp.ssItem @t125)) % 74.84/75.12 (define @t131 () (and @t130 @t129 @t127 @t126)) % 74.84/75.12 (define @t132 () (@list @t125)) % 74.84/75.12 (define @t133 () (exists @t132 @t131)) % 74.84/75.12 (define @t134 () (not (tptp.memberP @t10 @t124))) % 74.84/75.12 (define @t135 () (tptp.cons @t124 tptp.nil)) % 74.84/75.12 (define @t136 () (not (= @t135 @t12))) % 74.84/75.12 (define @t137 () (or @t136 @t134 @t133)) % 74.84/75.12 (define @t138 () (tptp.ssItem @t124)) % 74.84/75.12 (define @t139 () (=> @t138 @t137)) % 74.84/75.12 (define @t140 () (@list @t124)) % 74.84/75.12 (define @t141 () (forall @t140 @t139)) % 74.84/75.12 (define @t142 () (and @t141 @t123)) % 74.84/75.12 (define @t143 () (not (tptp.lt @t27 @t28))) % 74.84/75.12 (define @t144 () (@var "X3" $$unsorted)) % 74.84/75.12 (define @t145 () (tptp.cons @t27 tptp.nil)) % 74.84/75.12 (define @t146 () (@var "X2" $$unsorted)) % 74.84/75.12 (define @t147 () (tptp.cons @t28 tptp.nil)) % 74.84/75.12 (define @t148 () (@var "X1" $$unsorted)) % 74.84/75.12 (define @t149 () (tptp.app @t148 @t147)) % 74.84/75.12 (define @t150 () (tptp.app (tptp.app @t149 @t146) @t145)) % 74.84/75.12 (define @t151 () (tptp.app @t150 @t144)) % 74.84/75.12 (define @t152 () (not (= @t151 @t2))) % 74.84/75.12 (define @t153 () (or @t152 @t143)) % 74.84/75.12 (define @t154 () (tptp.ssList @t144)) % 74.84/75.12 (define @t155 () (=> @t154 @t153)) % 74.84/75.12 (define @t156 () (@list @t144)) % 74.84/75.12 (define @t157 () (forall @t156 @t155)) % 74.84/75.12 (define @t158 () (tptp.ssList @t146)) % 74.84/75.12 (define @t159 () (=> @t158 @t157)) % 74.84/75.12 (define @t160 () (@list @t146)) % 74.84/75.12 (define @t161 () (forall @t160 @t159)) % 74.84/75.12 (define @t162 () (tptp.ssList @t148)) % 74.84/75.12 (define @t163 () (=> @t162 @t161)) % 74.84/75.12 (define @t164 () (@list @t148)) % 74.84/75.12 (define @t165 () (forall @t164 @t163)) % 74.84/75.12 (define @t166 () (tptp.ssItem @t27)) % 74.84/75.12 (define @t167 () (=> @t166 @t165)) % 74.84/75.12 (define @t168 () (forall @t33 @t167)) % 74.84/75.12 (define @t169 () (tptp.ssItem @t28)) % 74.84/75.12 (define @t170 () (=> @t169 @t168)) % 74.84/75.12 (define @t171 () (forall @t35 @t170)) % 74.84/75.12 (define @t172 () (not (= @t2 @t12))) % 74.84/75.12 (define @t173 () (not (= @t1 @t10))) % 74.84/75.12 (define @t174 () (or @t173 @t172 @t171 @t142)) % 74.84/75.12 (define @t175 () (=> @t13 @t174)) % 74.84/75.12 (define @t176 () (forall @t14 @t175)) % 74.84/75.12 (define @t177 () (=> @t15 @t176)) % 74.84/75.12 (define @t178 () (forall @t16 @t177)) % 74.84/75.12 (define @t179 () (=> @t21 @t178)) % 74.84/75.12 (define @t180 () (forall @t7 @t179)) % 74.84/75.12 (define @t181 () (=> @t17 @t180)) % 74.84/75.12 (define @t182 () (forall @t9 @t181)) % 74.84/75.12 (define @t183 () (not @t182)) % 74.84/75.12 (define @t184 () (= @t2 @t83)) % 74.84/75.12 (define @t185 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 74.84/75.12 (define @t186 () (@var "BOUND_VARIABLE_11295" $$unsorted)) % 74.84/75.12 (define @t187 () (@var "BOUND_VARIABLE_11299" $$unsorted)) % 74.84/75.12 (define @t188 () (@var "BOUND_VARIABLE_11293" $$unsorted)) % 74.84/75.12 (define @t189 () (@var "BOUND_VARIABLE_11297" $$unsorted)) % 74.84/75.12 (define @t190 () (tptp.app (tptp.app (tptp.app (tptp.app @t189 (tptp.cons @t188 tptp.nil)) @t187) (tptp.cons @t186 tptp.nil)) @t185)) % 74.84/75.12 (define @t191 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 74.84/75.12 (define @t192 () (not (= tptp.nil @t191))) % 74.84/75.12 (define @t193 () (@var "BOUND_VARIABLE_11326" $$unsorted)) % 74.84/75.12 (define @t194 () (not @t130)) % 74.84/75.12 (define @t195 () (not (forall @t132 (or @t194 (= @t125 @t193) (not (tptp.memberP @t191 @t125)) (not (tptp.leq @t125 @t193)))))) % 74.84/75.12 (define @t196 () (not (tptp.memberP @t191 @t193))) % 74.84/75.12 (define @t197 () (tptp.cons @t193 tptp.nil)) % 74.84/75.12 (define @t198 () (not (tptp.ssItem @t193))) % 74.84/75.12 (define @t199 () (or @t198 (not (= @t190 @t197)) @t196 @t195)) % 74.84/75.12 (define @t200 () (and @t199 (or @t192 (not (= tptp.nil @t190))))) % 74.84/75.12 (define @t201 () (not (tptp.ssList @t191))) % 74.84/75.12 (define @t202 () (not (tptp.ssList @t185))) % 74.84/75.12 (define @t203 () (not (tptp.ssList @t187))) % 74.84/75.12 (define @t204 () (not (tptp.ssList @t189))) % 74.84/75.12 (define @t205 () (not (tptp.lt @t186 @t188))) % 74.84/75.12 (define @t206 () (not (tptp.ssItem @t186))) % 74.84/75.12 (define @t207 () (not (tptp.ssItem @t188))) % 74.84/75.12 (define @t208 () (not (tptp.ssList @t190))) % 74.84/75.12 (define @t209 () (or @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200)) % 74.84/75.12 (define @t210 () (@list @t188 @t186 @t189 @t187 @t185 @t191 @t193)) % 74.84/75.12 (define @t211 () (forall @t210 @t209)) % 74.84/75.12 (define @t212 () (@quantifiers_skolemize @t211 3)) % 74.84/75.12 (define @t213 () (not (= @t190 tptp.nil))) % 74.84/75.12 (define @t214 () (or @t192 @t213)) % 74.84/75.12 (define @t215 () (and @t199 @t214)) % 74.84/75.12 (define @t216 () (not (= @t190 @t190))) % 74.84/75.12 (define @t217 () (or @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t216 @t201 @t215)) % 74.84/75.12 (define @t218 () (= @t2 tptp.nil)) % 74.84/75.12 (define @t219 () (not @t218)) % 74.84/75.12 (define @t220 () (or @t198 (not (= @t2 @t197)) @t196 @t195)) % 74.84/75.12 (define @t221 () (and @t220 (or @t192 @t219))) % 74.84/75.12 (define @t222 () (not (= @t2 @t190))) % 74.84/75.12 (define @t223 () (not @t17)) % 74.84/75.12 (define @t224 () (or @t222 @t223 @t207 @t206 @t205 @t204 @t203 @t202 @t222 @t201 @t221)) % 74.84/75.12 (define @t225 () (or @t223 @t207 @t206 @t205 @t204 @t203 @t202 @t222 @t201 @t221)) % 74.84/75.12 (define @t226 () (forall @t9 @t225)) % 74.84/75.12 (define @t227 () (forall @t210 @t226)) % 74.84/75.12 (define @t228 () (forall (@list @t188 @t186 @t189 @t187 @t185 @t191 @t193 @t2) @t225)) % 74.84/75.12 (define @t229 () (@list @t2 @t188 @t186 @t189 @t187 @t185 @t191 @t193)) % 74.84/75.12 (define @t230 () (not (= @t191 tptp.nil))) % 74.84/75.12 (define @t231 () (or @t230 @t219)) % 74.84/75.12 (define @t232 () (and @t220 @t231)) % 74.84/75.12 (define @t233 () (or @t223 @t207 @t206 @t205 @t204 @t203 @t202 @t222 @t201 @t232)) % 74.84/75.12 (define @t234 () (or @t201 @t232)) % 74.84/75.12 (define @t235 () (or @t207 @t206 @t205 @t204 @t203 @t202 @t222)) % 74.84/75.12 (define @t236 () (or @t223 @t235 @t234)) % 74.84/75.12 (define @t237 () (forall @t229 @t236)) % 74.84/75.12 (define @t238 () (forall @t210 @t236)) % 74.84/75.12 (define @t239 () (forall (@list @t191 @t193) @t234)) % 74.84/75.12 (define @t240 () (@var "BOUND_VARIABLE_11268" $$unsorted)) % 74.84/75.12 (define @t241 () (forall (@list @t188 @t186 @t189 @t187 @t185) @t235)) % 74.84/75.12 (define @t242 () (@var "BOUND_VARIABLE_11069" $$unsorted)) % 74.84/75.12 (define @t243 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 74.84/75.12 (define @t244 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 74.84/75.12 (define @t245 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 74.84/75.12 (define @t246 () (or @t223 @t241 @t239)) % 74.84/75.12 (define @t247 () (= @t1 tptp.nil)) % 74.84/75.12 (define @t248 () (not @t247)) % 74.84/75.12 (define @t249 () (or @t248 @t219)) % 74.84/75.12 (define @t250 () (not (tptp.memberP @t1 @t125))) % 74.84/75.12 (define @t251 () (or (not (tptp.ssItem @t240)) (not (= @t2 (tptp.cons @t240 tptp.nil))) (not (tptp.memberP @t1 @t240)) (not (forall @t132 (or @t194 (= @t125 @t240) @t250 (not (tptp.leq @t125 @t240))))))) % 74.84/75.12 (define @t252 () (and @t251 @t249)) % 74.84/75.12 (define @t253 () (not @t21)) % 74.84/75.12 (define @t254 () (or @t253 @t252)) % 74.84/75.12 (define @t255 () (forall (@list @t1 @t240) @t254)) % 74.84/75.12 (define @t256 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t244 @t147) @t243) (tptp.cons @t245 tptp.nil)) @t242)))) % 74.84/75.12 (define @t257 () (not (tptp.ssList @t242))) % 74.84/75.12 (define @t258 () (not (tptp.ssList @t243))) % 74.84/75.12 (define @t259 () (not (tptp.ssList @t244))) % 74.84/75.12 (define @t260 () (not (tptp.lt @t245 @t28))) % 74.84/75.12 (define @t261 () (not (tptp.ssItem @t245))) % 74.84/75.12 (define @t262 () (not @t169)) % 74.84/75.12 (define @t263 () (or @t262 @t261 @t260 @t259 @t258 @t257 @t256)) % 74.84/75.12 (define @t264 () (@list @t28 @t245 @t244 @t243 @t242)) % 74.84/75.12 (define @t265 () (forall @t264 @t263)) % 74.84/75.12 (define @t266 () (or @t223 @t265 @t255)) % 74.84/75.12 (define @t267 () (or @t265 @t223 @t255)) % 74.84/75.12 (define @t268 () (@list @t240)) % 74.84/75.12 (define @t269 () (forall @t268 @t254)) % 74.84/75.12 (define @t270 () (forall @t268 @t249)) % 74.84/75.12 (define @t271 () (forall @t268 @t251)) % 74.84/75.12 (define @t272 () (@var "BOUND_VARIABLE_11237" $$unsorted)) % 74.84/75.12 (define @t273 () (@list @t272)) % 74.84/75.12 (define @t274 () (and @t271 @t270)) % 74.84/75.12 (define @t275 () (forall @t268 @t252)) % 74.84/75.12 (define @t276 () (or @t253 @t275)) % 74.84/75.12 (define @t277 () (and (forall (@list @t272) (or (not (tptp.ssItem @t272)) (not (= @t2 (tptp.cons @t272 tptp.nil))) (not (tptp.memberP @t1 @t272)) (not (forall @t132 (or @t194 (= @t125 @t272) @t250 (not (tptp.leq @t125 @t272))))))) @t249)) % 74.84/75.12 (define @t278 () (or @t253 @t277)) % 74.84/75.12 (define @t279 () (forall @t7 @t278)) % 74.84/75.12 (define @t280 () (or @t265 @t223 @t279)) % 74.84/75.12 (define @t281 () (or @t265 @t223 @t278)) % 74.84/75.12 (define @t282 () (or @t253 @t265 @t223 @t277)) % 74.84/75.12 (define @t283 () (or @t265 @t253 @t223 @t277)) % 74.84/75.12 (define @t284 () (@var "BOUND_VARIABLE_11202" $$unsorted)) % 74.84/75.12 (define @t285 () (@list @t284)) % 74.84/75.12 (define @t286 () (forall @t285 @t249)) % 74.84/75.12 (define @t287 () (not (forall @t132 (or @t194 (= @t125 @t284) @t250 (not (tptp.leq @t125 @t284)))))) % 74.84/75.12 (define @t288 () (not (tptp.memberP @t1 @t284))) % 74.84/75.12 (define @t289 () (tptp.cons @t284 tptp.nil)) % 74.84/75.12 (define @t290 () (not (tptp.ssItem @t284))) % 74.84/75.12 (define @t291 () (or @t290 (not (= @t2 @t289)) @t288 @t287)) % 74.84/75.12 (define @t292 () (forall @t285 @t291)) % 74.84/75.12 (define @t293 () (@list @t284)) % 74.84/75.12 (define @t294 () (and @t292 @t286)) % 74.84/75.12 (define @t295 () (and @t291 @t249)) % 74.84/75.12 (define @t296 () (forall @t285 @t295)) % 74.84/75.12 (define @t297 () (or @t223 @t296)) % 74.84/75.12 (define @t298 () (or @t223 @t295)) % 74.84/75.12 (define @t299 () (not (= @t2 @t2))) % 74.84/75.12 (define @t300 () (or @t223 @t299 @t295)) % 74.84/75.12 (define @t301 () (not (= @t12 tptp.nil))) % 74.84/75.12 (define @t302 () (or @t248 @t301)) % 74.84/75.12 (define @t303 () (or @t290 (not (= @t12 @t289)) @t288 @t287)) % 74.84/75.12 (define @t304 () (and @t303 @t302)) % 74.84/75.12 (define @t305 () (not @t15)) % 74.84/75.12 (define @t306 () (or @t172 @t305 @t172 @t304)) % 74.84/75.12 (define @t307 () (or @t305 @t172 @t304)) % 74.84/75.12 (define @t308 () (forall @t16 @t307)) % 74.84/75.12 (define @t309 () (forall @t285 @t308)) % 74.84/75.12 (define @t310 () (forall (@list @t284 @t12) @t307)) % 74.84/75.12 (define @t311 () (forall (@list @t12 @t284) @t307)) % 74.84/75.12 (define @t312 () (forall @t285 @t307)) % 74.84/75.12 (define @t313 () (forall @t285 @t302)) % 74.84/75.12 (define @t314 () (forall @t285 @t303)) % 74.84/75.12 (define @t315 () (@var "BOUND_VARIABLE_11171" $$unsorted)) % 74.84/75.12 (define @t316 () (@list @t315)) % 74.84/75.12 (define @t317 () (and @t314 @t313)) % 74.84/75.12 (define @t318 () (forall @t285 @t304)) % 74.84/75.12 (define @t319 () (or @t305 @t172 @t318)) % 74.84/75.12 (define @t320 () (and (forall (@list @t315) (or (not (tptp.ssItem @t315)) (not (= @t12 (tptp.cons @t315 tptp.nil))) (not (tptp.memberP @t1 @t315)) (not (forall @t132 (or @t194 (= @t125 @t315) @t250 (not (tptp.leq @t125 @t315))))))) @t302)) % 74.84/75.12 (define @t321 () (or @t305 @t172 @t320)) % 74.84/75.12 (define @t322 () (forall @t16 @t321)) % 74.84/75.12 (define @t323 () (or @t265 @t253 @t322)) % 74.84/75.12 (define @t324 () (or @t265 @t253 @t321)) % 74.84/75.12 (define @t325 () (or @t305 @t172 @t265 @t253 @t320)) % 74.84/75.12 (define @t326 () (or @t172 @t265 @t253 @t320)) % 74.84/75.12 (define @t327 () (@var "BOUND_VARIABLE_11125" $$unsorted)) % 74.84/75.12 (define @t328 () (@list @t327)) % 74.84/75.12 (define @t329 () (forall @t328 @t302)) % 74.84/75.12 (define @t330 () (not (tptp.leq @t125 @t327))) % 74.84/75.12 (define @t331 () (= @t125 @t327)) % 74.84/75.12 (define @t332 () (not (= @t12 (tptp.cons @t327 tptp.nil)))) % 74.84/75.12 (define @t333 () (not (tptp.ssItem @t327))) % 74.84/75.12 (define @t334 () (or @t333 @t332 (not (tptp.memberP @t1 @t327)) (not (forall @t132 (or @t194 @t331 @t250 @t330))))) % 74.84/75.12 (define @t335 () (forall @t328 @t334)) % 74.84/75.12 (define @t336 () (@list @t327)) % 74.84/75.12 (define @t337 () (and @t335 @t329)) % 74.84/75.12 (define @t338 () (and @t334 @t302)) % 74.84/75.12 (define @t339 () (forall @t328 @t338)) % 74.84/75.12 (define @t340 () (or @t253 @t339)) % 74.84/75.12 (define @t341 () (or @t253 @t338)) % 74.84/75.12 (define @t342 () (not (= @t1 @t1))) % 74.84/75.12 (define @t343 () (or @t253 @t342 @t338)) % 74.84/75.12 (define @t344 () (or (not (= @t10 tptp.nil)) @t301)) % 74.84/75.12 (define @t345 () (not @t127)) % 74.84/75.12 (define @t346 () (not (tptp.memberP @t10 @t327))) % 74.84/75.12 (define @t347 () (and (or @t333 @t332 @t346 (not (forall @t132 (or @t194 @t331 @t345 @t330)))) @t344)) % 74.84/75.12 (define @t348 () (not @t13)) % 74.84/75.12 (define @t349 () (or @t173 @t348 @t173 @t347)) % 74.84/75.12 (define @t350 () (or @t348 @t173 @t347)) % 74.84/75.12 (define @t351 () (forall @t14 @t350)) % 74.84/75.12 (define @t352 () (forall @t328 @t351)) % 74.84/75.12 (define @t353 () (forall (@list @t327 @t10) @t350)) % 74.84/75.12 (define @t354 () (@list @t10 @t327)) % 74.84/75.12 (define @t355 () (or @t194 (= @t327 @t125) @t345 @t330)) % 74.84/75.12 (define @t356 () (forall @t132 @t355)) % 74.84/75.12 (define @t357 () (not @t356)) % 74.84/75.12 (define @t358 () (or @t333 @t332 @t346 @t357)) % 74.84/75.12 (define @t359 () (and @t358 @t344)) % 74.84/75.12 (define @t360 () (or @t348 @t173 @t359)) % 74.84/75.12 (define @t361 () (forall @t354 @t360)) % 74.84/75.12 (define @t362 () (forall @t328 @t360)) % 74.84/75.12 (define @t363 () (forall @t328 @t344)) % 74.84/75.12 (define @t364 () (forall @t328 @t358)) % 74.84/75.12 (define @t365 () (and @t364 @t363)) % 74.84/75.12 (define @t366 () (forall @t328 @t359)) % 74.84/75.12 (define @t367 () (or @t348 @t173 @t366)) % 74.84/75.12 (define @t368 () (not @t126)) % 74.84/75.12 (define @t369 () (not (forall @t132 (or @t194 @t128 @t345 @t368)))) % 74.84/75.12 (define @t370 () (not (= @t12 @t135))) % 74.84/75.12 (define @t371 () (not @t138)) % 74.84/75.12 (define @t372 () (or @t371 @t370 @t134 @t369)) % 74.84/75.12 (define @t373 () (and (forall @t140 @t372) @t344)) % 74.84/75.12 (define @t374 () (or @t348 @t173 @t373)) % 74.84/75.12 (define @t375 () (forall @t14 @t374)) % 74.84/75.12 (define @t376 () (or @t172 @t265 @t375)) % 74.84/75.12 (define @t377 () (or @t172 @t265 @t374)) % 74.84/75.12 (define @t378 () (or @t348 @t173 @t172 @t265 @t373)) % 74.84/75.12 (define @t379 () (or @t173 @t172 @t265 @t373)) % 74.84/75.12 (define @t380 () (or @t370 @t134 @t369)) % 74.84/75.12 (define @t381 () (not @t129)) % 74.84/75.12 (define @t382 () (or @t194 @t381 @t345 @t368)) % 74.84/75.12 (define @t383 () (forall @t132 (not @t131))) % 74.84/75.12 (define @t384 () (not @t383)) % 74.84/75.12 (define @t385 () (or @t261 @t260 @t259 @t258 @t257 @t256)) % 74.84/75.12 (define @t386 () (or @t262 @t385)) % 74.84/75.12 (define @t387 () (forall @t264 @t386)) % 74.84/75.12 (define @t388 () (@list @t245 @t244 @t243 @t242)) % 74.84/75.12 (define @t389 () (forall @t388 @t386)) % 74.84/75.12 (define @t390 () (forall @t388 @t385)) % 74.84/75.12 (define @t391 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 74.84/75.12 (define @t392 () (@var "BOUND_VARIABLE_11036" $$unsorted)) % 74.84/75.12 (define @t393 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 74.84/75.12 (define @t394 () (or @t262 @t390)) % 74.84/75.12 (define @t395 () (not (= @t2 (tptp.app (tptp.app (tptp.app (tptp.app @t393 @t147) @t392) @t145) @t391)))) % 74.84/75.12 (define @t396 () (not (tptp.ssList @t391))) % 74.84/75.12 (define @t397 () (not (tptp.ssList @t392))) % 74.84/75.12 (define @t398 () (not (tptp.ssList @t393))) % 74.84/75.12 (define @t399 () (not @t166)) % 74.84/75.12 (define @t400 () (or @t399 @t143 @t398 @t397 @t396 @t395)) % 74.84/75.12 (define @t401 () (@list @t27 @t393 @t392 @t391)) % 74.84/75.12 (define @t402 () (forall @t401 @t400)) % 74.84/75.12 (define @t403 () (or @t398 @t397 @t396 @t395)) % 74.84/75.12 (define @t404 () (or @t399 @t143 @t403)) % 74.84/75.12 (define @t405 () (forall @t401 @t404)) % 74.84/75.12 (define @t406 () (@list @t393 @t392 @t391)) % 74.84/75.12 (define @t407 () (forall @t406 @t404)) % 74.84/75.12 (define @t408 () (forall @t406 @t403)) % 74.84/75.12 (define @t409 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 74.84/75.12 (define @t410 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 74.84/75.12 (define @t411 () (or @t399 @t143 @t408)) % 74.84/75.12 (define @t412 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t149 @t410) @t145) @t409)))) % 74.84/75.12 (define @t413 () (not (tptp.ssList @t409))) % 74.84/75.12 (define @t414 () (not (tptp.ssList @t410))) % 74.84/75.12 (define @t415 () (not @t162)) % 74.84/75.12 (define @t416 () (or @t415 @t414 @t413 @t412)) % 74.84/75.12 (define @t417 () (@list @t148 @t410 @t409)) % 74.84/75.12 (define @t418 () (forall @t417 @t416)) % 74.84/75.12 (define @t419 () (or @t399 @t143 @t418)) % 74.84/75.12 (define @t420 () (or @t143 @t418)) % 74.84/75.12 (define @t421 () (or @t414 @t413 @t412)) % 74.84/75.12 (define @t422 () (or @t415 @t421)) % 74.84/75.12 (define @t423 () (forall @t417 @t422)) % 74.84/75.12 (define @t424 () (@list @t410 @t409)) % 74.84/75.12 (define @t425 () (forall @t424 @t422)) % 74.84/75.12 (define @t426 () (forall @t424 @t421)) % 74.84/75.12 (define @t427 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 74.84/75.12 (define @t428 () (or @t415 @t426)) % 74.84/75.12 (define @t429 () (not (= @t2 (tptp.app @t150 @t427)))) % 74.84/75.12 (define @t430 () (not (tptp.ssList @t427))) % 74.84/75.12 (define @t431 () (not @t158)) % 74.84/75.12 (define @t432 () (or @t431 @t430 @t429)) % 74.84/75.12 (define @t433 () (@list @t146 @t427)) % 74.84/75.12 (define @t434 () (forall @t433 @t432)) % 74.84/75.12 (define @t435 () (or @t415 @t434)) % 74.84/75.12 (define @t436 () (forall @t164 @t435)) % 74.84/75.12 (define @t437 () (or @t143 @t436)) % 74.84/75.12 (define @t438 () (or @t143 @t435)) % 74.84/75.12 (define @t439 () (or @t415 @t143 @t434)) % 74.84/75.12 (define @t440 () (or @t143 @t434)) % 74.84/75.12 (define @t441 () (or @t430 @t429)) % 74.84/75.12 (define @t442 () (or @t431 @t441)) % 74.84/75.12 (define @t443 () (forall @t433 @t442)) % 74.84/75.12 (define @t444 () (@list @t427)) % 74.84/75.12 (define @t445 () (forall @t444 @t442)) % 74.84/75.12 (define @t446 () (forall @t444 @t441)) % 74.84/75.12 (define @t447 () (or @t431 @t446)) % 74.84/75.12 (define @t448 () (not (= @t2 @t151))) % 74.84/75.12 (define @t449 () (not @t154)) % 74.84/75.12 (define @t450 () (or @t449 @t448)) % 74.84/75.12 (define @t451 () (forall @t156 @t450)) % 74.84/75.12 (define @t452 () (or @t431 @t451)) % 74.84/75.12 (define @t453 () (forall @t160 @t452)) % 74.84/75.12 (define @t454 () (or @t143 @t453)) % 74.84/75.12 (define @t455 () (or @t143 @t452)) % 74.84/75.12 (define @t456 () (or @t431 @t143 @t451)) % 74.84/75.12 (define @t457 () (or @t143 @t451)) % 74.84/75.12 (define @t458 () (or @t143 @t450)) % 74.84/75.12 (define @t459 () (or @t449 @t448 @t143)) % 74.84/75.12 (define @t460 () (or @t448 @t143)) % 74.84/75.12 (define @t461 () (tptp.ssList @t212)) % 74.84/75.12 (define @t462 () (@quantifiers_skolemize @t211 4)) % 74.84/75.12 (define @t463 () (@quantifiers_skolemize @t211 1)) % 74.84/75.12 (define @t464 () (tptp.cons @t463 tptp.nil)) % 74.84/75.12 (define @t465 () (@quantifiers_skolemize @t211 0)) % 74.84/75.12 (define @t466 () (tptp.cons @t465 tptp.nil)) % 74.84/75.12 (define @t467 () (@quantifiers_skolemize @t211 2)) % 74.84/75.12 (define @t468 () (tptp.app @t467 @t466)) % 74.84/75.12 (define @t469 () (tptp.app @t468 @t212)) % 74.84/75.12 (define @t470 () (tptp.app @t469 @t464)) % 74.84/75.12 (define @t471 () (tptp.app @t470 @t462)) % 74.84/75.12 (define @t472 () (= tptp.nil @t471)) % 74.84/75.12 (define @t473 () (not @t472)) % 74.84/75.12 (define @t474 () (@quantifiers_skolemize @t211 5)) % 74.84/75.12 (define @t475 () (or (not (= tptp.nil @t474)) @t473)) % 74.84/75.12 (define @t476 () (@quantifiers_skolemize @t211 6)) % 74.84/75.12 (define @t477 () (tptp.cons @t476 tptp.nil)) % 74.84/75.12 (define @t478 () (= @t471 @t477)) % 74.84/75.12 (define @t479 () (not @t478)) % 74.84/75.12 (define @t480 () (tptp.ssItem @t476)) % 74.84/75.12 (define @t481 () (not @t480)) % 74.84/75.12 (define @t482 () (or @t481 @t479 (not (tptp.memberP @t474 @t476)) (not (forall @t132 (or @t194 (= @t125 @t476) (not (tptp.memberP @t474 @t125)) (not (tptp.leq @t125 @t476))))))) % 74.84/75.12 (define @t483 () (and @t482 @t475)) % 74.84/75.12 (define @t484 () (tptp.ssList @t462)) % 74.84/75.12 (define @t485 () (not @t484)) % 74.84/75.12 (define @t486 () (not @t461)) % 74.84/75.12 (define @t487 () (tptp.ssList @t467)) % 74.84/75.12 (define @t488 () (not @t487)) % 74.84/75.12 (define @t489 () (tptp.lt @t463 @t465)) % 74.84/75.12 (define @t490 () (not @t489)) % 74.84/75.12 (define @t491 () (tptp.ssItem @t463)) % 74.84/75.12 (define @t492 () (not @t491)) % 74.84/75.12 (define @t493 () (tptp.ssItem @t465)) % 74.84/75.12 (define @t494 () (not @t493)) % 74.84/75.12 (define @t495 () (tptp.ssList @t471)) % 74.84/75.12 (define @t496 () (not @t495)) % 74.84/75.12 (define @t497 () (or @t496 @t494 @t492 @t490 @t488 @t486 @t485 (not (tptp.ssList @t474)) @t483)) % 74.84/75.12 (define @t498 () (@list true)) % 74.84/75.12 (define @t499 () (@list @t497)) % 74.84/75.12 (define @t500 () (tptp.app tptp.nil @t212)) % 74.84/75.12 (define @t501 () (= @t212 @t500)) % 74.84/75.12 (define @t502 () (or @t486 @t501)) % 74.84/75.12 (define @t503 () (@list false false)) % 74.84/75.12 (define @t504 () (tptp.app tptp.nil @t462)) % 74.84/75.12 (define @t505 () (= @t462 @t504)) % 74.84/75.12 (define @t506 () (or @t485 @t505)) % 74.84/75.12 (define @t507 () (@var "BOUND_VARIABLE_10610" $$unsorted)) % 74.84/75.12 (define @t508 () (@var "BOUND_VARIABLE_10608" $$unsorted)) % 74.84/75.12 (define @t509 () (= (tptp.app (tptp.app @t2 @t508) @t507) (tptp.app @t2 (tptp.app @t508 @t507)))) % 74.84/75.12 (define @t510 () (not (tptp.ssList @t507))) % 74.84/75.12 (define @t511 () (not (tptp.ssList @t508))) % 74.84/75.12 (define @t512 () (or @t511 @t510 @t509)) % 74.84/75.12 (define @t513 () (or @t223 @t512)) % 74.84/75.12 (define @t514 () (forall (@list @t2 @t508 @t507) @t513)) % 74.84/75.12 (define @t515 () (@list @t508 @t507)) % 74.84/75.12 (define @t516 () (forall @t515 @t513)) % 74.84/75.12 (define @t517 () (forall @t515 @t512)) % 74.84/75.12 (define @t518 () (@var "BOUND_VARIABLE_10590" $$unsorted)) % 74.84/75.12 (define @t519 () (or @t223 @t517)) % 74.84/75.12 (define @t520 () (= (tptp.app @t71 @t518) (tptp.app @t2 (tptp.app @t1 @t518)))) % 74.84/75.12 (define @t521 () (not (tptp.ssList @t518))) % 74.84/75.12 (define @t522 () (or @t253 @t521 @t520)) % 74.84/75.12 (define @t523 () (@list @t1 @t518)) % 74.84/75.12 (define @t524 () (forall @t523 @t522)) % 74.84/75.12 (define @t525 () (or @t521 @t520)) % 74.84/75.12 (define @t526 () (or @t253 @t525)) % 74.84/75.12 (define @t527 () (forall @t523 @t526)) % 74.84/75.12 (define @t528 () (@list @t518)) % 74.84/75.12 (define @t529 () (forall @t528 @t526)) % 74.84/75.12 (define @t530 () (forall @t528 @t525)) % 74.84/75.12 (define @t531 () (@list @t12)) % 74.84/75.12 (define @t532 () (or @t253 @t530)) % 74.84/75.12 (define @t533 () (forall @t16 (or @t305 @t108))) % 74.84/75.12 (define @t534 () (@var "BOUND_VARIABLE_9166" $$unsorted)) % 74.84/75.12 (define @t535 () (tptp.ssList (tptp.cons @t534 @t2))) % 74.84/75.12 (define @t536 () (not (tptp.ssItem @t534))) % 74.84/75.12 (define @t537 () (or @t536 @t535)) % 74.84/75.12 (define @t538 () (or @t223 @t537)) % 74.84/75.12 (define @t539 () (forall (@list @t2 @t534) @t538)) % 74.84/75.12 (define @t540 () (@list @t534)) % 74.84/75.12 (define @t541 () (forall @t540 @t538)) % 74.84/75.12 (define @t542 () (forall @t540 @t537)) % 74.84/75.12 (define @t543 () (@list @t1)) % 74.84/75.12 (define @t544 () (or @t223 @t542)) % 74.84/75.12 (define @t545 () (not @t6)) % 74.84/75.12 (define @t546 () (forall @t7 (or @t545 @t55))) % 74.84/75.12 (define @t547 () (tptp.ssList @t466)) % 74.84/75.12 (define @t548 () (not @t59)) % 74.84/75.12 (define @t549 () (or @t548 @t494 @t547)) % 74.84/75.12 (define @t550 () (@list false false false)) % 74.84/75.12 (define @t551 () (tptp.app @t466 @t212)) % 74.84/75.12 (define @t552 () (tptp.app @t467 @t551)) % 74.84/75.12 (define @t553 () (= @t469 @t552)) % 74.84/75.12 (define @t554 () (not @t547)) % 74.84/75.12 (define @t555 () (or @t488 @t554 @t486 @t553)) % 74.84/75.12 (define @t556 () (@list false false false false)) % 74.84/75.12 (define @t557 () (@var "BOUND_VARIABLE_9410" $$unsorted)) % 74.84/75.12 (define @t558 () (tptp.ssList (tptp.app @t2 @t557))) % 74.84/75.12 (define @t559 () (not (tptp.ssList @t557))) % 74.84/75.12 (define @t560 () (or @t559 @t558)) % 74.84/75.12 (define @t561 () (or @t223 @t560)) % 74.84/75.12 (define @t562 () (forall (@list @t2 @t557) @t561)) % 74.84/75.12 (define @t563 () (@list @t557)) % 74.84/75.12 (define @t564 () (forall @t563 @t561)) % 74.84/75.12 (define @t565 () (forall @t563 @t560)) % 74.84/75.12 (define @t566 () (or @t223 @t565)) % 74.84/75.12 (define @t567 () (forall @t7 (or @t253 @t72))) % 74.84/75.12 (define @t568 () (tptp.ssList @t468)) % 74.84/75.12 (define @t569 () (or @t488 @t554 @t568)) % 74.84/75.12 (define @t570 () (tptp.ssList @t469)) % 74.84/75.12 (define @t571 () (not @t568)) % 74.84/75.12 (define @t572 () (or @t571 @t486 @t570)) % 74.84/75.12 (define @t573 () (@list tptp.nil @t463)) % 74.84/75.12 (define @t574 () (tptp.ssList @t464)) % 74.84/75.12 (define @t575 () (or @t548 @t492 @t574)) % 74.84/75.12 (define @t576 () (tptp.app @t464 @t462)) % 74.84/75.12 (define @t577 () (tptp.app @t469 @t576)) % 74.84/75.12 (define @t578 () (= @t471 @t577)) % 74.84/75.12 (define @t579 () (not @t574)) % 74.84/75.12 (define @t580 () (not @t570)) % 74.84/75.12 (define @t581 () (or @t580 @t579 @t485 @t578)) % 74.84/75.12 (define @t582 () (@list @t484 @t574 @t570 @t581)) % 74.84/75.12 (define @t583 () (@var "BOUND_VARIABLE_9447" $$unsorted)) % 74.84/75.12 (define @t584 () (@var "BOUND_VARIABLE_9449" $$unsorted)) % 74.84/75.12 (define @t585 () (= (tptp.cons @t584 (tptp.app @t583 @t2)) (tptp.app (tptp.cons @t584 @t583) @t2))) % 74.84/75.12 (define @t586 () (not (tptp.ssItem @t584))) % 74.84/75.12 (define @t587 () (not (tptp.ssList @t583))) % 74.84/75.12 (define @t588 () (or @t223 @t587 @t586 @t585)) % 74.84/75.12 (define @t589 () (or @t587 @t586 @t585)) % 74.84/75.12 (define @t590 () (or @t223 @t589)) % 74.84/75.12 (define @t591 () (@list @t2 @t583 @t584)) % 74.84/75.12 (define @t592 () (forall @t591 @t590)) % 74.84/75.12 (define @t593 () (@list @t583 @t584)) % 74.84/75.12 (define @t594 () (forall @t593 @t590)) % 74.84/75.12 (define @t595 () (forall @t593 @t589)) % 74.84/75.12 (define @t596 () (@var "BOUND_VARIABLE_9429" $$unsorted)) % 74.84/75.12 (define @t597 () (or @t223 @t595)) % 74.84/75.12 (define @t598 () (= (tptp.cons @t596 @t76) (tptp.app (tptp.cons @t596 @t1) @t2))) % 74.84/75.12 (define @t599 () (not (tptp.ssItem @t596))) % 74.84/75.12 (define @t600 () (or @t253 @t599 @t598)) % 74.84/75.12 (define @t601 () (@list @t1 @t596)) % 74.84/75.12 (define @t602 () (forall @t601 @t600)) % 74.84/75.12 (define @t603 () (or @t599 @t598)) % 74.84/75.12 (define @t604 () (or @t253 @t603)) % 74.84/75.12 (define @t605 () (forall @t601 @t604)) % 74.84/75.12 (define @t606 () (@list @t596)) % 74.84/75.12 (define @t607 () (forall @t606 @t604)) % 74.84/75.12 (define @t608 () (forall @t606 @t603)) % 74.84/75.12 (define @t609 () (or @t253 @t608)) % 74.84/75.12 (define @t610 () (not @t36)) % 74.84/75.12 (define @t611 () (forall @t16 (or @t610 @t77))) % 74.84/75.12 (define @t612 () (tptp.cons @t465 @t500)) % 74.84/75.12 (define @t613 () (or @t486 @t548 @t494 (= @t612 @t551))) % 74.84/75.12 (define @t614 () (forall @t591 @t588)) % 74.84/75.12 (define @t615 () (= @t551 @t612)) % 74.84/75.12 (define @t616 () (or @t486 @t548 @t494 @t615)) % 74.84/75.12 (define @t617 () (@list false)) % 74.84/75.12 (define @t618 () (@list @t614)) % 74.84/75.12 (define @t619 () (tptp.cons @t463 @t504)) % 74.84/75.12 (define @t620 () (or @t485 @t548 @t492 (= @t619 @t576))) % 74.84/75.12 (define @t621 () (= @t576 @t619)) % 74.84/75.12 (define @t622 () (or @t485 @t548 @t492 @t621)) % 74.84/75.12 (define @t623 () (@var "BOUND_VARIABLE_8924" $$unsorted)) % 74.84/75.12 (define @t624 () (@var "BOUND_VARIABLE_8918" $$unsorted)) % 74.84/75.12 (define @t625 () (@var "BOUND_VARIABLE_8922" $$unsorted)) % 74.84/75.12 (define @t626 () (@var "BOUND_VARIABLE_8920" $$unsorted)) % 74.84/75.12 (define @t627 () (tptp.app (tptp.app @t626 (tptp.cons @t1 @t625)) (tptp.cons @t624 @t623))) % 74.84/75.12 (define @t628 () (not (= @t2 @t627))) % 74.84/75.12 (define @t629 () (not (tptp.ssList @t623))) % 74.84/75.12 (define @t630 () (not (tptp.ssList @t625))) % 74.84/75.12 (define @t631 () (not (tptp.ssList @t626))) % 74.84/75.12 (define @t632 () (tptp.lt @t1 @t624)) % 74.84/75.12 (define @t633 () (not (tptp.ssItem @t624))) % 74.84/75.12 (define @t634 () (or @t545 @t633 @t632 @t631 @t630 @t629 @t628)) % 74.84/75.12 (define @t635 () (@list @t1 @t624 @t626 @t625 @t623)) % 74.84/75.12 (define @t636 () (= @t49 (forall @t635 @t634))) % 74.84/75.12 (define @t637 () (or @t633 @t632 @t631 @t630 @t629 @t628)) % 74.84/75.12 (define @t638 () (or @t545 @t637)) % 74.84/75.12 (define @t639 () (forall @t635 @t638)) % 74.84/75.12 (define @t640 () (@list @t624 @t626 @t625 @t623)) % 74.84/75.12 (define @t641 () (forall @t640 @t638)) % 74.84/75.12 (define @t642 () (forall @t640 @t637)) % 74.84/75.12 (define @t643 () (@var "BOUND_VARIABLE_8894" $$unsorted)) % 74.84/75.12 (define @t644 () (@var "BOUND_VARIABLE_8892" $$unsorted)) % 74.84/75.12 (define @t645 () (@var "BOUND_VARIABLE_8890" $$unsorted)) % 74.84/75.12 (define @t646 () (or @t545 @t642)) % 74.84/75.12 (define @t647 () (not (= @t2 (tptp.app (tptp.app @t645 (tptp.cons @t1 @t644)) (tptp.cons @t12 @t643))))) % 74.84/75.12 (define @t648 () (not (tptp.ssList @t643))) % 74.84/75.12 (define @t649 () (not (tptp.ssList @t644))) % 74.84/75.12 (define @t650 () (not (tptp.ssList @t645))) % 74.84/75.12 (define @t651 () (or @t610 @t37 @t650 @t649 @t648 @t647)) % 74.84/75.12 (define @t652 () (@list @t12 @t645 @t644 @t643)) % 74.84/75.12 (define @t653 () (forall @t652 @t651)) % 74.84/75.12 (define @t654 () (or @t650 @t649 @t648 @t647)) % 74.84/75.12 (define @t655 () (or @t610 @t37 @t654)) % 74.84/75.12 (define @t656 () (forall @t652 @t655)) % 74.84/75.12 (define @t657 () (@list @t645 @t644 @t643)) % 74.84/75.12 (define @t658 () (forall @t657 @t655)) % 74.84/75.12 (define @t659 () (forall @t657 @t654)) % 74.84/75.12 (define @t660 () (@var "BOUND_VARIABLE_8517" $$unsorted)) % 74.84/75.12 (define @t661 () (@var "BOUND_VARIABLE_8515" $$unsorted)) % 74.84/75.12 (define @t662 () (or @t610 @t37 @t659)) % 74.84/75.12 (define @t663 () (not (= @t2 (tptp.app (tptp.app @t10 (tptp.cons @t1 @t661)) (tptp.cons @t12 @t660))))) % 74.84/75.12 (define @t664 () (not (tptp.ssList @t660))) % 74.84/75.12 (define @t665 () (not (tptp.ssList @t661))) % 74.84/75.12 (define @t666 () (or @t348 @t665 @t664 @t663)) % 74.84/75.12 (define @t667 () (@list @t10 @t661 @t660)) % 74.84/75.12 (define @t668 () (forall @t667 @t666)) % 74.84/75.12 (define @t669 () (or @t610 @t37 @t668)) % 74.84/75.12 (define @t670 () (or @t37 @t668)) % 74.84/75.12 (define @t671 () (or @t665 @t664 @t663)) % 74.84/75.12 (define @t672 () (or @t348 @t671)) % 74.84/75.12 (define @t673 () (forall @t667 @t672)) % 74.84/75.12 (define @t674 () (@list @t661 @t660)) % 74.84/75.12 (define @t675 () (forall @t674 @t672)) % 74.84/75.12 (define @t676 () (forall @t674 @t671)) % 74.84/75.12 (define @t677 () (@var "BOUND_VARIABLE_8493" $$unsorted)) % 74.84/75.12 (define @t678 () (or @t348 @t676)) % 74.84/75.12 (define @t679 () (not (= @t2 (tptp.app @t29 (tptp.cons @t12 @t677))))) % 74.84/75.12 (define @t680 () (not (tptp.ssList @t677))) % 74.84/75.12 (define @t681 () (not @t34)) % 74.84/75.12 (define @t682 () (or @t681 @t680 @t679)) % 74.84/75.12 (define @t683 () (@list @t28 @t677)) % 74.84/75.12 (define @t684 () (forall @t683 @t682)) % 74.84/75.12 (define @t685 () (or @t348 @t684)) % 74.84/75.12 (define @t686 () (forall @t14 @t685)) % 74.84/75.12 (define @t687 () (or @t37 @t686)) % 74.84/75.12 (define @t688 () (or @t37 @t685)) % 74.84/75.12 (define @t689 () (or @t348 @t37 @t684)) % 74.84/75.12 (define @t690 () (or @t37 @t684)) % 74.84/75.12 (define @t691 () (or @t680 @t679)) % 74.84/75.12 (define @t692 () (or @t681 @t691)) % 74.84/75.12 (define @t693 () (forall @t683 @t692)) % 74.84/75.12 (define @t694 () (@list @t677)) % 74.84/75.12 (define @t695 () (forall @t694 @t692)) % 74.84/75.12 (define @t696 () (forall @t694 @t691)) % 74.84/75.12 (define @t697 () (or @t681 @t696)) % 74.84/75.12 (define @t698 () (= @t2 @t30)) % 74.84/75.12 (define @t699 () (not @t698)) % 74.84/75.12 (define @t700 () (not @t32)) % 74.84/75.12 (define @t701 () (or @t700 @t699)) % 74.84/75.12 (define @t702 () (forall @t33 @t701)) % 74.84/75.12 (define @t703 () (or @t681 @t702)) % 74.84/75.12 (define @t704 () (forall @t35 @t703)) % 74.84/75.12 (define @t705 () (or @t37 @t704)) % 74.84/75.12 (define @t706 () (or @t37 @t703)) % 74.84/75.12 (define @t707 () (or @t681 @t37 @t702)) % 74.84/75.12 (define @t708 () (or @t37 @t702)) % 74.84/75.12 (define @t709 () (or @t37 @t701)) % 74.84/75.12 (define @t710 () (or @t700 @t699 @t37)) % 74.84/75.12 (define @t711 () (=> @t698 @t37)) % 74.84/75.12 (define @t712 () (not (= @t471 @t627))) % 74.84/75.12 (define @t713 () (or @t545 @t633 @t632 @t631 @t630 @t629 @t712)) % 74.84/75.12 (define @t714 () (forall @t635 @t713)) % 74.84/75.12 (define @t715 () (tptp.strictorderedP @t471)) % 74.84/75.12 (define @t716 () (= @t715 @t714)) % 74.84/75.12 (define @t717 () (or @t496 @t716)) % 74.84/75.12 (define @t718 () (forall @t9 (or @t223 @t636))) % 74.84/75.12 (define @t719 () (forall @t635 (or @t545 @t633 @t632 @t631 @t630 @t629 (not (= @t627 @t471))))) % 74.84/75.12 (define @t720 () (= @t715 @t719)) % 74.84/75.12 (define @t721 () (or @t496 @t720)) % 74.84/75.12 (define @t722 () (@var "BOUND_VARIABLE_10638" $$unsorted)) % 74.84/75.12 (define @t723 () (and (= @t722 tptp.nil) @t218)) % 74.84/75.12 (define @t724 () (= tptp.nil (tptp.app @t2 @t722))) % 74.84/75.12 (define @t725 () (= @t724 @t723)) % 74.84/75.12 (define @t726 () (not (tptp.ssList @t722))) % 74.84/75.12 (define @t727 () (or @t223 @t726 @t725)) % 74.84/75.12 (define @t728 () (or @t726 @t725)) % 74.84/75.12 (define @t729 () (or @t223 @t728)) % 74.84/75.12 (define @t730 () (@list @t2 @t722)) % 74.84/75.12 (define @t731 () (forall @t730 @t729)) % 74.84/75.12 (define @t732 () (@list @t722)) % 74.84/75.12 (define @t733 () (forall @t732 @t729)) % 74.84/75.12 (define @t734 () (forall @t732 @t728)) % 74.84/75.12 (define @t735 () (or @t223 @t734)) % 74.84/75.12 (define @t736 () (= @t115 (and @t247 @t218))) % 74.84/75.12 (define @t737 () (forall @t7 (or @t253 @t736))) % 74.84/75.12 (define @t738 () (= tptp.nil @t462)) % 74.84/75.12 (define @t739 () (and @t738 (= @t470 tptp.nil))) % 74.84/75.12 (define @t740 () (= @t472 @t739)) % 74.84/75.12 (define @t741 () (tptp.ssList @t470)) % 74.84/75.12 (define @t742 () (not @t741)) % 74.84/75.12 (define @t743 () (or @t742 @t485 @t740)) % 74.84/75.12 (define @t744 () (forall @t730 (or @t223 @t726 (= @t724 (and (= tptp.nil @t722) @t218))))) % 74.84/75.12 (define @t745 () (= tptp.nil @t470)) % 74.84/75.12 (define @t746 () (and @t738 @t745)) % 74.84/75.12 (define @t747 () (= @t472 @t746)) % 74.84/75.12 (define @t748 () (or @t742 @t485 @t747)) % 74.84/75.12 (define @t749 () (@list @t744)) % 74.84/75.12 (define @t750 () (@list @t469 @t464)) % 74.84/75.12 (define @t751 () (or @t580 @t579 @t741)) % 74.84/75.12 (define @t752 () (= tptp.nil @t464)) % 74.84/75.12 (define @t753 () (and @t752 (= @t469 tptp.nil))) % 74.84/75.12 (define @t754 () (= @t745 @t753)) % 74.84/75.12 (define @t755 () (or @t580 @t579 @t754)) % 74.84/75.12 (define @t756 () (and @t752 (= tptp.nil @t469))) % 74.84/75.12 (define @t757 () (= @t745 @t756)) % 74.84/75.12 (define @t758 () (or @t580 @t579 @t757)) % 74.84/75.12 (define @t759 () (@var "BOUND_VARIABLE_9189" $$unsorted)) % 74.84/75.12 (define @t760 () (not (= @t2 (tptp.cons @t759 @t2)))) % 74.84/75.12 (define @t761 () (not (tptp.ssItem @t759))) % 74.84/75.12 (define @t762 () (or @t761 @t760)) % 74.84/75.12 (define @t763 () (or @t223 @t762)) % 74.84/75.12 (define @t764 () (forall (@list @t2 @t759) @t763)) % 74.84/75.12 (define @t765 () (@list @t759)) % 74.84/75.12 (define @t766 () (forall @t765 @t763)) % 74.84/75.12 (define @t767 () (forall @t765 @t762)) % 74.84/75.12 (define @t768 () (or @t223 @t767)) % 74.84/75.12 (define @t769 () (not (= @t2 @t54))) % 74.84/75.12 (define @t770 () (forall @t7 (or @t545 @t769))) % 74.84/75.12 (define @t771 () (not @t752)) % 74.84/75.12 (define @t772 () (or @t548 @t492 @t771)) % 74.84/75.12 (define @t773 () (not @t756)) % 74.84/75.12 (define @t774 () (not @t745)) % 74.84/75.12 (define @t775 () (@list true false)) % 74.84/75.12 (define @t776 () (not @t746)) % 74.84/75.12 (define @t777 () (@list @t482)) % 74.84/75.12 (define @t778 () (tptp.strictorderedP @t477)) % 74.84/75.12 (define @t779 () (or @t481 @t778)) % 74.84/75.12 (define @t780 () (tptp.app (tptp.app @t467 (tptp.cons @t465 @t212)) (tptp.cons @t463 @t462))) % 74.84/75.12 (define @t781 () (not (= @t780 @t471))) % 74.84/75.12 (define @t782 () (tptp.lt @t465 @t463)) % 74.84/75.12 (define @t783 () (or @t494 @t492 @t782 @t488 @t486 @t485 @t781)) % 74.84/75.12 (define @t784 () (= @t471 @t780)) % 74.84/75.12 (define @t785 () (not @t784)) % 74.84/75.12 (define @t786 () (or @t494 @t492 @t782 @t488 @t486 @t485 @t785)) % 74.84/75.12 (define @t787 () (@var "BOUND_VARIABLE_9583" $$unsorted)) % 74.84/75.12 (define @t788 () (not (tptp.lt @t787 @t2))) % 74.84/75.12 (define @t789 () (not (tptp.lt @t2 @t787))) % 74.84/75.12 (define @t790 () (not (tptp.ssItem @t787))) % 74.84/75.12 (define @t791 () (not @t8)) % 74.84/75.12 (define @t792 () (or @t790 @t789 @t788)) % 74.84/75.12 (define @t793 () (or @t791 @t792)) % 74.84/75.12 (define @t794 () (forall (@list @t2 @t787) @t793)) % 74.84/75.12 (define @t795 () (@list @t787)) % 74.84/75.12 (define @t796 () (forall @t795 @t793)) % 74.84/75.12 (define @t797 () (forall @t795 @t792)) % 74.84/75.12 (define @t798 () (or @t791 @t797)) % 74.84/75.12 (define @t799 () (not @t91)) % 74.84/75.12 (define @t800 () (or @t545 @t799 @t90)) % 74.84/75.12 (define @t801 () (forall @t7 @t800)) % 74.84/75.12 (define @t802 () (not @t782)) % 74.84/75.12 (define @t803 () (or @t492 @t494 @t490 @t802)) % 74.84/75.12 (define @t804 () (not @t621)) % 74.84/75.12 (define @t805 () (not @t615)) % 74.84/75.12 (define @t806 () (not @t578)) % 74.84/75.12 (define @t807 () (not @t553)) % 74.84/75.12 (define @t808 () (not @t505)) % 74.84/75.12 (define @t809 () (not @t501)) % 74.84/75.12 (define @t810 () (and @t785 @t784)) % 74.84/75.12 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 74.84/75.12 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 74.84/75.12 (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))))))))))) % 74.84/75.12 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 74.84/75.12 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 74.84/75.12 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 74.84/75.12 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 74.84/75.12 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not (and @t26 @t25))))))))))))))))) % 74.84/75.12 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t26 @t25)))))))))))))))) % 74.84/75.12 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (or @t37 (tptp.lt @t12 @t1))))))))))))))))) % 74.84/75.12 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 @t26))))))))))))))) % 74.84/75.12 (assume @p12 @t52) % 74.84/75.12 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (=> @t31 (not @t53)))))))))))))))) % 74.84/75.12 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t36 (forall @t14 (=> @t13 (forall @t35 (=> @t34 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t53))))))))))))) % 74.84/75.12 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 74.84/75.12 (assume @p16 @t58) % 74.84/75.12 (assume @p17 @t59) % 74.84/75.12 (assume @p18 @t64) % 74.84/75.12 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t36 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t65))))))))))) % 74.84/75.12 (assume @p20 (forall @t9 (=> @t17 (or @t67 (exists @t7 (and @t21 (exists @t16 (and @t36 (= @t66 @t2))))))))) % 74.84/75.12 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 74.84/75.12 (assume @p22 (forall @t9 (=> @t17 (=> @t69 (tptp.ssItem @t68))))) % 74.84/75.12 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 74.84/75.12 (assume @p24 (forall @t9 (=> @t17 (=> @t69 (tptp.ssList @t70))))) % 74.84/75.12 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 74.84/75.12 (assume @p26 @t75) % 74.84/75.12 (assume @p27 @t82) % 74.84/75.12 (assume @p28 @t85) % 74.84/75.12 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t87 @t86) @t3)))))) % 74.84/75.12 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t87 @t26) (tptp.leq @t2 @t12))))))))) % 74.84/75.12 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 74.84/75.12 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t88 @t86)))))) % 74.84/75.12 (assume @p33 @t95) % 74.84/75.12 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t91 @t37) @t96)))))))) % 74.84/75.12 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 @t89)))))) % 74.84/75.12 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t98))))))))) % 74.84/75.12 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t98))))))))) % 74.84/75.12 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 74.84/75.12 (assume @p39 (not (tptp.singletonP tptp.nil))) % 74.84/75.12 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 74.84/75.12 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 74.84/75.12 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 74.84/75.12 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 74.84/75.12 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 74.84/75.12 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 74.84/75.12 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t67)))) % 74.84/75.12 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 74.84/75.12 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 74.84/75.12 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 74.84/75.12 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t99 @t1))))))))) % 74.84/75.12 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 74.84/75.12 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t67)))) % 74.84/75.12 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 74.84/75.12 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 74.84/75.12 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 74.84/75.12 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t99 @t10) @t1))))))))))) % 74.84/75.12 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 74.84/75.12 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t67)))) % 74.84/75.12 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t100)))) % 74.84/75.12 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 74.84/75.12 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t100)))) % 74.84/75.12 (assume @p62 (tptp.totalorderP tptp.nil)) % 74.84/75.12 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t100)))) % 74.84/75.12 (assume @p64 (tptp.strictorderP tptp.nil)) % 74.84/75.12 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t100)))) % 74.84/75.12 (assume @p66 (tptp.totalorderedP tptp.nil)) % 74.84/75.12 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t104) (or @t102 (and @t103 (tptp.totalorderedP @t1) (tptp.leq @t2 @t101))))))))) % 74.84/75.13 (assume @p68 @t106) % 74.84/75.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 74.84/75.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t104) (or @t102 (and @t103 (tptp.strictorderedP @t1) (tptp.lt @t2 @t101))))))))) % 74.84/75.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t100)))) % 74.84/75.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 74.84/75.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t100)))) % 74.84/75.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 74.84/75.13 (assume @p75 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t6 (= @t68 @t1))))))) % 74.84/75.13 (assume @p76 (forall @t9 (=> @t17 (=> @t69 (exists @t7 (and @t21 (= @t70 @t1))))))) % 74.84/75.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t103 @t69 (= @t101 @t68) (= (tptp.tl @t1) @t70)) @t65)))))) % 74.84/75.13 (assume @p78 (forall @t9 (=> @t17 (=> @t69 (= (tptp.cons @t68 @t70) @t2))))) % 74.84/75.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t71) @t107)))))))) % 74.84/75.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t76) @t107)))))))) % 74.84/75.13 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 74.84/75.13 (assume @p82 @t113) % 74.84/75.13 (assume @p83 @t120) % 74.84/75.13 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 74.84/75.13 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.hd @t71) @t68))))))) % 74.84/75.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t69 (= (tptp.tl @t71) (tptp.app @t70 @t1)))))))) % 74.84/75.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t88 (tptp.geq @t1 @t2)) @t3)))))) % 74.84/75.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t88 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 74.84/75.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 74.84/75.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 74.84/75.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t87 @t37) @t96)))))))) % 74.84/75.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (or @t3 @t91))))))) % 74.84/75.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t91 (and @t4 @t87))))))) % 74.84/75.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not (tptp.gt @t1 @t2)))))))) % 74.84/75.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t36 (=> (and @t97 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 74.84/75.13 (assume @p96 @t183) % 74.84/75.13 (assume @p97 true) % 74.84/75.13 (step @p98 :rule bool-impl-elim :args (@t17 @t184)) % 74.84/75.13 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t184)))) % 74.84/75.13 (step @p100 :rule eq-symm :args (@t83 @t2)) % 74.84/75.13 (step @p101 :rule refl :args (@t17)) % 74.84/75.13 (step @p102 :rule cong :premises (@p101 @p100) :args (@t84)) % 74.84/75.13 (step @p103 :rule cong :premises (@p102) :args (@t85)) % 74.84/75.13 (step @p104 :rule trans :premises (@p103 @p99)) % 74.84/75.13 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 74.84/75.13 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t212))) % 74.84/75.13 (step @p107 :rule aci_norm :args ((= (or @t208 @t207 @t206 @t205 @t204 @t203 @t202 false @t201 @t200) @t209))) % 74.84/75.13 (step @p108 :rule eq-symm :args (@t190 tptp.nil)) % 74.84/75.13 (step @p109 :rule cong :premises (@p108) :args (@t213)) % 74.84/75.13 (step @p110 :rule refl :args (@t192)) % 74.84/75.13 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t214)) % 74.84/75.13 (step @p112 :rule refl :args (@t199)) % 74.84/75.13 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t215)) % 74.84/75.13 (step @p114 :rule refl :args (@t201)) % 74.84/75.13 (step @p115 :rule evaluate :args ((not true))) % 74.84/75.13 (step @p116 :rule eq-refl :args (@t190)) % 74.84/75.13 (step @p117 :rule cong :premises (@p116) :args (@t216)) % 74.84/75.13 (step @p118 :rule trans :premises (@p117 @p115)) % 74.84/75.13 (step @p119 :rule refl :args (@t202)) % 74.84/75.13 (step @p120 :rule refl :args (@t203)) % 74.84/75.13 (step @p121 :rule refl :args (@t204)) % 74.84/75.13 (step @p122 :rule refl :args (@t205)) % 74.84/75.13 (step @p123 :rule refl :args (@t206)) % 74.84/75.13 (step @p124 :rule refl :args (@t207)) % 74.84/75.13 (step @p125 :rule refl :args (@t208)) % 74.84/75.13 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p114 @p113) :args (@t217)) % 74.84/75.13 (step @p127 :rule trans :premises (@p126 @p107)) % 74.84/75.13 (step @p128 :rule cong :premises (@p127) :args ((forall @t210 @t217))) % 74.84/75.13 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t9 @t224) @t217))) % 74.84/75.13 (step @p130 :rule aci_norm :args ((= @t225 @t224))) % 74.84/75.13 (step @p131 :rule cong :premises (@p130) :args (@t226)) % 74.84/75.13 (step @p132 :rule trans :premises (@p131 @p129)) % 74.84/75.13 (step @p133 :rule cong :premises (@p132) :args (@t227)) % 74.84/75.13 (step @p134 :rule quant-merge-prenex :args ((= @t227 @t228))) % 74.84/75.13 (step @p135 :rule symm :premises (@p134)) % 74.84/75.13 (step @p136 :rule quant_var_reordering :args ((= (forall @t229 @t225) @t228))) % 74.84/75.13 (step @p137 :rule trans :premises (@p136 @p135 @p133)) % 74.84/75.13 (step @p138 :rule trans :premises (@p137 @p128)) % 74.84/75.13 (step @p139 :rule refl :args (@t219)) % 74.84/75.13 (step @p140 :rule eq-symm :args (@t191 tptp.nil)) % 74.84/75.13 (step @p141 :rule cong :premises (@p140) :args (@t230)) % 74.84/75.13 (step @p142 :rule nary_cong :premises (@p141 @p139) :args (@t231)) % 74.84/75.13 (step @p143 :rule refl :args (@t220)) % 74.84/75.13 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t232)) % 74.84/75.13 (step @p145 :rule refl :args (@t222)) % 74.84/75.13 (step @p146 :rule refl :args (@t223)) % 74.84/75.13 (step @p147 :rule nary_cong :premises (@p146 @p124 @p123 @p122 @p121 @p120 @p119 @p145 @p114 @p144) :args (@t233)) % 74.84/75.13 (step @p148 :rule aci_norm :args ((= @t236 @t233))) % 74.84/75.13 (step @p149 :rule trans :premises (@p148 @p147)) % 74.84/75.13 (step @p150 :rule cong :premises (@p149) :args (@t237)) % 74.84/75.13 (step @p151 :rule trans :premises (@p150 @p138)) % 74.84/75.13 (step @p152 :rule quant-merge-prenex :args ((= (forall @t9 @t238) @t237))) % 74.84/75.13 (step @p153 :rule alpha_equiv :args (@t239 (@list @t191 @t193) (@list @t1 @t240))) % 74.84/75.13 (step @p154 :rule alpha_equiv :args (@t241 (@list @t188 @t186 @t189 @t187 @t185) (@list @t28 @t245 @t244 @t243 @t242))) % 74.84/75.13 (step @p155 :rule refl :args (@t223)) % 74.84/75.13 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args (@t246)) % 74.84/75.13 (step @p157 :rule quant-miniscope-or :args ((= @t238 @t246))) % 74.84/75.13 (step @p158 :rule trans :premises (@p157 @p156)) % 74.84/75.13 (step @p159 :rule symm :premises (@p158)) % 74.84/75.13 (step @p160 :rule cong :premises (@p159) :args ((forall @t9 @t266))) % 74.84/75.13 (step @p161 :rule trans :premises (@p160 @p152)) % 74.84/75.13 (step @p162 :rule trans :premises (@p161 @p151)) % 74.84/75.13 (step @p163 :rule aci_norm :args ((= (or @t223 @t267) @t266))) % 74.84/75.13 (step @p164 :rule bool-impl-elim :args (@t17 @t267)) % 74.84/75.13 (step @p165 :rule trans :premises (@p164 @p163)) % 74.84/75.13 (step @p166 :rule cong :premises (@p165) :args ((forall @t9 (=> @t17 @t267)))) % 74.84/75.13 (step @p167 :rule trans :premises (@p166 @p162)) % 74.84/75.13 (step @p168 :rule quant-merge-prenex :args ((= (forall @t7 @t269) @t255))) % 74.84/75.13 (step @p169 :rule quant-unused-vars :args ((= @t270 @t249))) % 74.84/75.13 (step @p170 :rule alpha_equiv :args (@t271 (@list @t240) @t273)) % 74.84/75.13 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t274)) % 74.84/75.13 (step @p172 :rule quant-miniscope-and :args ((= @t275 @t274))) % 74.84/75.13 (step @p173 :rule trans :premises (@p172 @p171)) % 74.84/75.13 (step @p174 :rule refl :args (@t253)) % 74.84/75.13 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t276)) % 74.84/75.13 (step @p176 :rule quant-miniscope-or :args ((= @t269 @t276))) % 74.84/75.13 (step @p177 :rule trans :premises (@p176 @p175)) % 74.84/75.13 (step @p178 :rule symm :premises (@p177)) % 74.84/75.13 (step @p179 :rule cong :premises (@p178) :args (@t279)) % 74.84/75.13 (step @p180 :rule trans :premises (@p179 @p168)) % 74.84/75.13 (step @p181 :rule refl :args (@t265)) % 74.84/75.13 (step @p182 :rule nary_cong :premises (@p181 @p146 @p180) :args (@t280)) % 74.84/75.13 (step @p183 :rule quant-miniscope-or :args ((= (forall @t7 @t281) @t280))) % 74.84/75.13 (step @p184 :rule aci_norm :args ((= @t282 @t281))) % 74.84/75.13 (step @p185 :rule cong :premises (@p184) :args ((forall @t7 @t282))) % 74.84/75.13 (step @p186 :rule trans :premises (@p185 @p183)) % 74.84/75.13 (step @p187 :rule trans :premises (@p186 @p182)) % 74.84/75.13 (step @p188 :rule aci_norm :args ((= (or @t253 @t283) @t282))) % 74.84/75.13 (step @p189 :rule bool-impl-elim :args (@t21 @t283)) % 74.84/75.13 (step @p190 :rule trans :premises (@p189 @p188)) % 74.84/75.13 (step @p191 :rule cong :premises (@p190) :args ((forall @t7 (=> @t21 @t283)))) % 74.84/75.13 (step @p192 :rule trans :premises (@p191 @p187)) % 74.84/75.13 (step @p193 :rule aci_norm :args ((= (or @t265 @t253 (or @t223 @t277)) @t283))) % 74.84/75.13 (step @p194 :rule quant-unused-vars :args ((= @t286 @t249))) % 74.84/75.13 (step @p195 :rule alpha_equiv :args (@t292 @t293 @t273)) % 74.84/75.13 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t294)) % 74.84/75.13 (step @p197 :rule quant-miniscope-and :args ((= @t296 @t294))) % 74.84/75.13 (step @p198 :rule trans :premises (@p197 @p196)) % 74.84/75.13 (step @p199 :rule nary_cong :premises (@p146 @p198) :args (@t297)) % 74.84/75.13 (step @p200 :rule quant-miniscope-or :args ((= (forall @t285 @t298) @t297))) % 74.84/75.13 (step @p201 :rule trans :premises (@p200 @p199)) % 74.84/75.13 (step @p202 :rule aci_norm :args ((= (or @t223 false @t295) @t298))) % 74.84/75.13 (step @p203 :rule refl :args (@t295)) % 74.84/75.13 (step @p204 :rule eq-refl :args (@t2)) % 74.84/75.13 (step @p205 :rule cong :premises (@p204) :args (@t299)) % 74.84/75.13 (step @p206 :rule trans :premises (@p205 @p115)) % 74.84/75.13 (step @p207 :rule nary_cong :premises (@p146 @p206 @p203) :args (@t300)) % 74.84/75.13 (step @p208 :rule trans :premises (@p207 @p202)) % 74.84/75.13 (step @p209 :rule cong :premises (@p208) :args ((forall @t285 @t300))) % 74.84/75.13 (step @p210 :rule trans :premises (@p209 @p201)) % 74.84/75.13 (step @p211 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t107) @t305 @t172 @t304)) @t300))) % 74.84/75.13 (step @p212 :rule refl :args (@t304)) % 74.84/75.13 (step @p213 :rule refl :args (@t172)) % 74.84/75.13 (step @p214 :rule refl :args (@t305)) % 74.84/75.13 (step @p215 :rule eq-symm :args (@t2 @t12)) % 74.84/75.13 (step @p216 :rule cong :premises (@p215) :args (@t172)) % 74.84/75.13 (step @p217 :rule nary_cong :premises (@p216 @p214 @p213 @p212) :args (@t306)) % 74.84/75.13 (step @p218 :rule aci_norm :args ((= @t307 @t306))) % 74.84/75.13 (step @p219 :rule trans :premises (@p218 @p217)) % 74.84/75.13 (step @p220 :rule cong :premises (@p219) :args (@t308)) % 74.84/75.13 (step @p221 :rule trans :premises (@p220 @p211)) % 74.84/75.13 (step @p222 :rule cong :premises (@p221) :args (@t309)) % 74.84/75.13 (step @p223 :rule quant-merge-prenex :args ((= @t309 @t310))) % 74.84/75.13 (step @p224 :rule symm :premises (@p223)) % 74.84/75.13 (step @p225 :rule quant_var_reordering :args ((= @t311 @t310))) % 74.84/75.13 (step @p226 :rule trans :premises (@p225 @p224 @p222)) % 74.84/75.13 (step @p227 :rule trans :premises (@p226 @p210)) % 74.84/75.13 (step @p228 :rule quant-merge-prenex :args ((= (forall @t16 @t312) @t311))) % 74.84/75.13 (step @p229 :rule quant-unused-vars :args ((= @t313 @t302))) % 74.84/75.13 (step @p230 :rule alpha_equiv :args (@t314 @t293 @t316)) % 74.84/75.13 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t317)) % 74.84/75.13 (step @p232 :rule quant-miniscope-and :args ((= @t318 @t317))) % 74.84/75.13 (step @p233 :rule trans :premises (@p232 @p231)) % 74.84/75.13 (step @p234 :rule nary_cong :premises (@p214 @p213 @p233) :args (@t319)) % 74.84/75.13 (step @p235 :rule quant-miniscope-or :args ((= @t312 @t319))) % 74.84/75.13 (step @p236 :rule trans :premises (@p235 @p234)) % 74.84/75.13 (step @p237 :rule symm :premises (@p236)) % 74.84/75.13 (step @p238 :rule cong :premises (@p237) :args (@t322)) % 74.84/75.13 (step @p239 :rule trans :premises (@p238 @p228)) % 74.84/75.13 (step @p240 :rule trans :premises (@p239 @p227)) % 74.84/75.13 (step @p241 :rule refl :args (@t253)) % 74.84/75.13 (step @p242 :rule nary_cong :premises (@p181 @p241 @p240) :args (@t323)) % 74.84/75.13 (step @p243 :rule trans :premises (@p242 @p193)) % 74.84/75.13 (step @p244 :rule quant-miniscope-or :args ((= (forall @t16 @t324) @t323))) % 74.84/75.13 (step @p245 :rule aci_norm :args ((= @t325 @t324))) % 74.84/75.13 (step @p246 :rule cong :premises (@p245) :args ((forall @t16 @t325))) % 74.84/75.13 (step @p247 :rule trans :premises (@p246 @p244)) % 74.84/75.13 (step @p248 :rule trans :premises (@p247 @p243)) % 74.84/75.13 (step @p249 :rule aci_norm :args ((= (or @t305 @t326) @t325))) % 74.84/75.13 (step @p250 :rule bool-impl-elim :args (@t15 @t326)) % 74.84/75.13 (step @p251 :rule trans :premises (@p250 @p249)) % 74.84/75.13 (step @p252 :rule cong :premises (@p251) :args ((forall @t16 (=> @t15 @t326)))) % 74.84/75.13 (step @p253 :rule trans :premises (@p252 @p248)) % 74.84/75.13 (step @p254 :rule aci_norm :args ((= (or @t172 @t265 (or @t253 @t320)) @t326))) % 74.84/75.13 (step @p255 :rule quant-unused-vars :args ((= @t329 @t302))) % 74.84/75.13 (step @p256 :rule alpha_equiv :args (@t335 @t336 @t316)) % 74.84/75.13 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t337)) % 74.84/75.13 (step @p258 :rule quant-miniscope-and :args ((= @t339 @t337))) % 74.84/75.13 (step @p259 :rule trans :premises (@p258 @p257)) % 74.84/75.13 (step @p260 :rule nary_cong :premises (@p241 @p259) :args (@t340)) % 74.84/75.13 (step @p261 :rule quant-miniscope-or :args ((= (forall @t328 @t341) @t340))) % 74.84/75.13 (step @p262 :rule trans :premises (@p261 @p260)) % 74.84/75.13 (step @p263 :rule aci_norm :args ((= (or @t253 false @t338) @t341))) % 74.84/75.13 (step @p264 :rule refl :args (@t338)) % 74.84/75.13 (step @p265 :rule eq-refl :args (@t1)) % 74.84/75.13 (step @p266 :rule cong :premises (@p265) :args (@t342)) % 74.84/75.13 (step @p267 :rule trans :premises (@p266 @p115)) % 74.84/75.13 (step @p268 :rule nary_cong :premises (@p241 @p267 @p264) :args (@t343)) % 74.84/75.13 (step @p269 :rule trans :premises (@p268 @p263)) % 74.84/75.13 (step @p270 :rule cong :premises (@p269) :args ((forall @t328 @t343))) % 74.84/75.13 (step @p271 :rule trans :premises (@p270 @p262)) % 74.84/75.13 (step @p272 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t348 @t173 @t347)) @t343))) % 74.84/75.13 (step @p273 :rule refl :args (@t347)) % 74.84/75.13 (step @p274 :rule refl :args (@t173)) % 74.84/75.13 (step @p275 :rule refl :args (@t348)) % 74.84/75.13 (step @p276 :rule eq-symm :args (@t1 @t10)) % 74.84/75.13 (step @p277 :rule cong :premises (@p276) :args (@t173)) % 74.84/75.13 (step @p278 :rule nary_cong :premises (@p277 @p275 @p274 @p273) :args (@t349)) % 74.84/75.13 (step @p279 :rule aci_norm :args ((= @t350 @t349))) % 74.84/75.13 (step @p280 :rule trans :premises (@p279 @p278)) % 74.84/75.13 (step @p281 :rule cong :premises (@p280) :args (@t351)) % 74.84/75.13 (step @p282 :rule trans :premises (@p281 @p272)) % 74.84/75.13 (step @p283 :rule cong :premises (@p282) :args (@t352)) % 74.84/75.13 (step @p284 :rule quant-merge-prenex :args ((= @t352 @t353))) % 74.84/75.13 (step @p285 :rule symm :premises (@p284)) % 74.84/75.13 (step @p286 :rule quant_var_reordering :args ((= (forall @t354 @t350) @t353))) % 74.84/75.13 (step @p287 :rule trans :premises (@p286 @p285 @p283)) % 74.84/75.13 (step @p288 :rule trans :premises (@p287 @p271)) % 74.84/75.13 (step @p289 :rule refl :args (@t344)) % 74.84/75.13 (step @p290 :rule refl :args (@t330)) % 74.84/75.13 (step @p291 :rule refl :args (@t345)) % 74.84/75.13 (step @p292 :rule eq-symm :args (@t327 @t125)) % 74.84/75.13 (step @p293 :rule refl :args (@t194)) % 74.84/75.13 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290) :args (@t355)) % 74.84/75.13 (step @p295 :rule cong :premises (@p294) :args (@t356)) % 74.84/75.13 (step @p296 :rule cong :premises (@p295) :args (@t357)) % 74.84/75.13 (step @p297 :rule refl :args (@t346)) % 74.84/75.13 (step @p298 :rule refl :args (@t332)) % 74.84/75.13 (step @p299 :rule refl :args (@t333)) % 74.84/75.13 (step @p300 :rule nary_cong :premises (@p299 @p298 @p297 @p296) :args (@t358)) % 74.84/75.13 (step @p301 :rule nary_cong :premises (@p300 @p289) :args (@t359)) % 74.84/75.13 (step @p302 :rule refl :args (@t173)) % 74.84/75.13 (step @p303 :rule refl :args (@t348)) % 74.84/75.13 (step @p304 :rule nary_cong :premises (@p303 @p302 @p301) :args (@t360)) % 74.84/75.13 (step @p305 :rule cong :premises (@p304) :args (@t361)) % 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0.34/75.13 (step @p998 :rule refl :args (@t482)) % 0.34/75.13 (step @p999 :rule nary_cong :premises (@p998 @p997) :args ((or @t482 (not @t481)))) % 0.34/75.13 (step @p1000 :rule cnf_or_neg :args (@t482 0)) % 0.34/75.13 (step @p1001 :rule eq_resolve :premises (@p1000 @p999)) % 0.34/75.13 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t480 @t482))) % 0.34/75.13 (step @p1003 :rule chain_m_resolution :premises (@p1002 @p996) :args (@t480 @t498 @t777)) % 0.34/75.13 (step @p1004 :rule cnf_or_pos :args (@t779)) % 0.34/75.13 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t481 @t778 (not @t779)))) % 0.34/75.13 (step @p1006 :rule chain_m_resolution :premises (@p1005 @p1003 @p866) :args (@t778 @t503 (@list @t480 @t779))) % 0.34/75.13 (step @p1007 :rule true_intro :premises (@p1006)) % 0.34/75.13 (step @p1008 :rule bool-double-not-elim :args (@t478)) % 0.34/75.13 (step @p1009 :rule nary_cong :premises (@p998 @p1008) :args ((or @t482 (not @t479)))) % 0.34/75.13 (step @p1010 :rule cnf_or_neg :args (@t482 1)) % 0.34/75.13 (step @p1011 :rule eq_resolve :premises (@p1010 @p1009)) % 0.34/75.13 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t478 @t482))) % 0.34/75.13 (step @p1013 :rule chain_m_resolution :premises (@p1012 @p996) :args (@t478 @t498 @t777)) % 0.34/75.13 (step @p1014 :rule cong :premises (@p1013) :args (@t715)) % 0.34/75.13 (step @p1015 :rule trans :premises (@p1014 @p1007)) % 0.34/75.13 (step @p1016 :rule true_elim :premises (@p1015)) % 0.34/75.13 (step @p1017 :rule cnf_equiv_pos1 :args (@t720)) % 0.34/75.13 (step @p1018 :rule reordering :premises (@p1017) :args ((or @t719 (not @t715) (not @t720)))) % 0.34/75.13 (step @p1019 :rule chain_m_resolution :premises (@p1018 @p1016 @p862) :args (@t719 @t503 (@list @t715 @t720))) % 0.34/75.13 (step @p1020 :rule eq-symm :args (@t780 @t471)) % 0.34/75.13 (step @p1021 :rule cong :premises (@p1020) :args (@t781)) % 0.34/75.13 (step @p1022 :rule refl :args (@t488)) % 0.34/75.13 (step @p1023 :rule refl :args (@t782)) % 0.34/75.13 (step @p1024 :rule nary_cong :premises (@p679 @p696 @p1023 @p1022 @p681 @p697 @p1021) :args (@t783)) % 0.34/75.13 (step @p1025 :rule refl :args (@t719)) % 0.34/75.13 (step @p1026 :rule cong :premises (@p1025 @p1024) :args ((=> @t719 @t783))) % 0.34/75.13 (assume-push @p1139 @t719) % 0.34/75.13 (step @p1028 :rule instantiate :premises (@p1019) :args ((@list @t465 @t463 @t467 @t212 @t462))) % 0.34/75.13 (step-pop @p1140 :rule scope :premises (@p1028)) % 0.34/75.13 (step @p1029 :rule process_scope :premises (@p1140) :args (@t783)) % 0.34/75.13 (step @p1031 :rule eq_resolve :premises (@p1029 @p1026)) % 0.34/75.13 (step @p1032 :rule implies_elim :premises (@p1031)) % 0.34/75.13 (step @p1033 :rule chain_m_resolution :premises (@p1032 @p1019) :args (@t786 @t617 (@list @t719))) % 0.34/75.13 (step @p1034 :rule aci_norm :args ((= @t793 (or @t791 @t790 @t789 @t788)))) % 0.34/75.13 (step @p1035 :rule cong :premises (@p1034) :args (@t794)) % 0.34/75.13 (step @p1036 :rule quant-merge-prenex :args ((= (forall @t9 @t796) @t794))) % 0.34/75.13 (step @p1037 :rule alpha_equiv :args (@t797 (@list @t787) @t543)) % 0.34/75.13 (step @p1038 :rule refl :args (@t791)) % 0.34/75.13 (step @p1039 :rule nary_cong :premises (@p1038 @p1037) :args (@t798)) % 0.34/75.13 (step @p1040 :rule quant-miniscope-or :args ((= @t796 @t798))) % 0.34/75.13 (step @p1041 :rule trans :premises (@p1040 @p1039)) % 0.34/75.13 (step @p1042 :rule symm :premises (@p1041)) % 0.34/75.13 (step @p1043 :rule cong :premises (@p1042) :args ((forall @t9 (or @t791 @t801)))) % 0.34/75.13 (step @p1044 :rule trans :premises (@p1043 @p1036)) % 0.34/75.13 (step @p1045 :rule trans :premises (@p1044 @p1035)) % 0.34/75.13 (step @p1046 :rule bool-impl-elim :args (@t8 @t801)) % 0.34/75.13 (step @p1047 :rule cong :premises (@p1046) :args ((forall @t9 (=> @t8 @t801)))) % 0.34/75.13 (step @p1048 :rule trans :premises (@p1047 @p1045)) % 0.34/75.13 (step @p1049 :rule aci_norm :args ((= (or @t545 (or @t799 @t90)) @t800))) % 0.34/75.13 (step @p1050 :rule bool-impl-elim :args (@t91 @t90)) % 0.34/75.13 (step @p1051 :rule nary_cong :premises (@p716 @p1050) :args ((or @t545 @t92))) % 0.34/75.13 (step @p1052 :rule trans :premises (@p1051 @p1049)) % 0.34/75.13 (step @p1053 :rule bool-impl-elim :args (@t6 @t92)) % 0.34/75.13 (step @p1054 :rule trans :premises (@p1053 @p1052)) % 0.34/75.13 (step @p1055 :rule cong :premises (@p1054) :args (@t93)) % 0.34/75.13 (step @p1056 :rule refl :args (@t8)) % 0.34/75.13 (step @p1057 :rule cong :premises (@p1056 @p1055) :args (@t94)) % 0.34/75.13 (step @p1058 :rule cong :premises (@p1057) :args (@t95)) % 0.34/75.13 (step @p1059 :rule trans :premises (@p1058 @p1048)) % 0.34/75.13 (step @p1060 :rule eq_resolve :premises (@p33 @p1059)) % 0.34/75.13 (step @p1061 :rule instantiate :premises (@p1060) :args ((@list @t463 @t465))) % 0.34/75.13 (step @p1062 :rule bool-double-not-elim :args (@t489)) % 0.34/75.13 (step @p1063 :rule nary_cong :premises (@p503 @p1062) :args ((or @t497 (not @t490)))) % 0.34/75.13 (step @p1064 :rule cnf_or_neg :args (@t497 3)) % 0.34/75.13 (step @p1065 :rule eq_resolve :premises (@p1064 @p1063)) % 0.34/75.13 (step @p1066 :rule reordering :premises (@p1065) :args ((or @t489 @t497))) % 0.34/75.13 (step @p1067 :rule chain_m_resolution :premises (@p1066 @p501) :args (@t489 @t498 @t499)) % 0.34/75.13 (step @p1068 :rule cnf_or_pos :args (@t803)) % 0.34/75.13 (step @p1069 :rule reordering :premises (@p1068) :args ((or @t494 @t492 @t490 @t802 (not @t803)))) % 0.34/75.13 (step @p1070 :rule chain_m_resolution :premises (@p1069 @p586 @p634 @p1067 @p1061) :args (@t802 @t556 (@list @t493 @t491 @t489 @t803))) % 0.34/75.13 (step @p1071 :rule cnf_or_pos :args (@t786)) % 0.34/75.13 (step @p1072 :rule reordering :premises (@p1071) :args ((or @t494 @t492 @t488 @t486 @t485 @t782 @t785 (not @t786)))) % 0.34/75.13 (step @p1073 :rule chain_m_resolution :premises (@p1072 @p586 @p634 @p595 @p508 @p518 @p1070 @p1033) :args (@t785 (@list false false false false false true false) (@list @t493 @t491 @t487 @t461 @t484 @t782 @t786))) % 0.34/75.13 (step @p1074 :rule bool-double-not-elim :args (@t784)) % 0.34/75.13 (step @p1075 :rule refl :args (@t804)) % 0.34/75.13 (step @p1076 :rule refl :args (@t805)) % 0.34/75.13 (step @p1077 :rule refl :args (@t806)) % 0.34/75.13 (step @p1078 :rule refl :args (@t807)) % 0.34/75.13 (step @p1079 :rule refl :args (@t808)) % 0.34/75.13 (step @p1080 :rule refl :args (@t809)) % 0.34/75.13 (step @p1081 :rule nary_cong :premises (@p1080 @p1079 @p1078 @p1077 @p1076 @p1075 @p1074) :args ((or @t809 @t808 @t807 @t806 @t805 @t804 (not @t785)))) % 0.34/75.13 (assume-push @p1141 @t785) % 0.34/75.13 (assume-push @p1142 @t784) % 0.34/75.13 (step @p1084 :rule evaluate :args ((= true false))) % 0.34/75.13 (step @p1085 :rule false_intro :premises (@p1073)) % 0.34/75.13 (step @p1086 :rule symm :premises (@p521)) % 0.34/75.13 (step @p1087 :rule refl :args (@t463)) % 0.34/75.13 (step @p1088 :rule cong :premises (@p1087 @p1086) :args (@t619)) % 0.34/75.13 (step @p1089 :rule trans :premises (@p709 @p1088)) % 0.34/75.13 (step @p1090 :rule symm :premises (@p511)) % 0.34/75.13 (step @p1091 :rule refl :args (@t465)) % 0.34/75.13 (step @p1092 :rule cong :premises (@p1091 @p1090) :args (@t612)) % 0.34/75.13 (step @p1093 :rule trans :premises (@p694 @p1092)) % 0.34/75.13 (step @p1094 :rule refl :args (@t467)) % 0.34/75.13 (step @p1095 :rule cong :premises (@p1094 @p1093) :args (@t552)) % 0.34/75.13 (step @p1096 :rule trans :premises (@p598 @p1095)) % 0.34/75.13 (step @p1097 :rule cong :premises (@p1096 @p1089) :args (@t577)) % 0.34/75.13 (step @p1098 :rule chain_m_resolution :premises (@p639 @p518 @p637 @p627 @p599) :args (@t578 @t556 @t582)) % 0.34/75.13 (step @p1099 :rule trans :premises (@p1098 @p1097)) % 0.34/75.13 (step @p1100 :rule true_intro :premises (@p1099)) % 0.34/75.13 (step @p1101 :rule symm :premises (@p1100)) % 0.34/75.13 (step @p1102 :rule trans :premises (@p1101 @p1085)) % 0.34/75.13 (step @p1103 false :rule eq_resolve :premises (@p1102 @p1084)) % 0.34/75.13 (step-pop @p1143 :rule scope :premises (@p1103)) % 0.34/75.13 (step-pop @p1144 :rule scope :premises (@p1143)) % 0.34/75.13 (step @p1104 :rule process_scope :premises (@p1144) :args (false)) % 0.34/75.13 (assume-push @p1145 @t501) % 0.34/75.13 (assume-push @p1146 @t505) % 0.34/75.13 (assume-push @p1147 @t553) % 0.34/75.13 (assume-push @p1148 @t578) % 0.34/75.13 (assume-push @p1149 @t615) % 0.34/75.13 (assume-push @p1150 @t621) % 0.34/75.13 (assume-push @p1151 @t785) % 0.34/75.13 (step @p1086 :rule symm :premises (@p521)) % 0.34/75.13 (step @p1087 :rule refl :args (@t463)) % 0.34/75.13 (step @p1088 :rule cong :premises (@p1087 @p1086) :args (@t619)) % 0.34/75.13 (step @p1089 :rule trans :premises (@p709 @p1088)) % 0.34/75.13 (step @p1090 :rule symm :premises (@p511)) % 0.34/75.13 (step @p1091 :rule refl :args (@t465)) % 0.34/75.13 (step @p1092 :rule cong :premises (@p1091 @p1090) :args (@t612)) % 0.34/75.13 (step @p1093 :rule trans :premises (@p694 @p1092)) % 0.34/75.13 (step @p1094 :rule refl :args (@t467)) % 0.34/75.13 (step @p1095 :rule cong :premises (@p1094 @p1093) :args (@t552)) % 0.34/75.13 (step @p1096 :rule trans :premises (@p598 @p1095)) % 0.34/75.13 (step @p1097 :rule cong :premises (@p1096 @p1089) :args (@t577)) % 0.34/75.13 (step @p1114 :rule trans :premises (@p640 @p1097)) % 0.34/75.13 (step @p1115 :rule and_intro :premises (@p1073 @p1114)) % 0.34/75.13 (step-pop @p1152 :rule scope :premises (@p1115)) % 0.34/75.13 (step-pop @p1153 :rule scope :premises (@p1152)) % 0.34/75.13 (step-pop @p1154 :rule scope :premises (@p1153)) % 0.34/75.13 (step-pop @p1155 :rule scope :premises (@p1154)) % 0.34/75.13 (step-pop @p1156 :rule scope :premises (@p1155)) % 0.34/75.13 (step-pop @p1157 :rule scope :premises (@p1156)) % 0.34/75.13 (step-pop @p1158 :rule scope :premises (@p1157)) % 0.34/75.13 (step @p1116 :rule process_scope :premises (@p1158) :args (@t810)) % 0.34/75.13 (step @p1124 :rule implies_elim :premises (@p1116)) % 0.34/75.13 (step @p1125 :rule resolution :premises (@p1124 @p1104) :args (true @t810)) % 0.34/75.13 (step @p1126 :rule not_and :premises (@p1125)) % 0.34/75.13 (step @p1127 :rule eq_resolve :premises (@p1126 @p1081)) % 0.34/75.13 (step @p1128 false :rule chain_m_resolution :premises (@p1127 @p1073 @p709 @p694 @p640 @p598 @p521 @p511) :args (false (@list true false false false false false false) (@list @t784 @t621 @t615 @t578 @t553 @t505 @t501))) % 0.34/75.13 ) % 0.34/75.13 % SZS output end Proof % 0.34/75.13 % cvc5 exiting %------------------------------------------------------------------------------