%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC409+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:12 AM UTC 2026 % Result : Theorem 231.14s 231.40s % Output : Proof 231.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC409+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.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 14:46:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 231.14/231.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 231.14/231.40 --- Run --no-e-matching --full-saturate-quant at 6... % 231.14/231.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 231.14/231.40 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 231.14/231.40 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 231.14/231.40 --- Run --trigger-sel=max --full-saturate-quant at 15... % 231.14/231.40 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 231.14/231.40 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 231.14/231.40 --- Run --prenex-quant=none --full-saturate-quant at 30... % 231.14/231.40 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 231.14/231.40 --- Run --relevant-triggers --full-saturate-quant at 30... % 231.14/231.40 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 231.14/231.40 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 231.14/231.40 % SZS status Theorem % 231.14/231.40 % SZS output start Proof % 231.14/231.40 ( % 231.14/231.40 (declare-sort $$unsorted 0) % 231.14/231.40 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 231.14/231.40 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 231.14/231.40 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 231.14/231.40 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 231.14/231.40 (declare-const tptp.nil $$unsorted) % 231.14/231.40 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.ssList (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 231.14/231.40 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 231.14/231.40 (define @t1 () (@var "V" $$unsorted)) % 231.14/231.40 (define @t2 () (@var "U" $$unsorted)) % 231.14/231.40 (define @t3 () (= @t2 @t1)) % 231.14/231.40 (define @t4 () (not @t3)) % 231.14/231.40 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 231.14/231.40 (define @t6 () (tptp.ssItem @t1)) % 231.14/231.40 (define @t7 () (@list @t1)) % 231.14/231.40 (define @t8 () (tptp.ssItem @t2)) % 231.14/231.40 (define @t9 () (@list @t2)) % 231.14/231.40 (define @t10 () (@var "X" $$unsorted)) % 231.14/231.40 (define @t11 () (tptp.cons @t1 @t10)) % 231.14/231.40 (define @t12 () (@var "W" $$unsorted)) % 231.14/231.40 (define @t13 () (tptp.app @t12 @t11)) % 231.14/231.40 (define @t14 () (tptp.ssList @t10)) % 231.14/231.40 (define @t15 () (and @t14 (= @t13 @t2))) % 231.14/231.40 (define @t16 () (@list @t10)) % 231.14/231.40 (define @t17 () (exists @t16 @t15)) % 231.14/231.40 (define @t18 () (tptp.ssList @t12)) % 231.14/231.40 (define @t19 () (and @t18 @t17)) % 231.14/231.40 (define @t20 () (@list @t12)) % 231.14/231.40 (define @t21 () (exists @t20 @t19)) % 231.14/231.40 (define @t22 () (tptp.memberP @t2 @t1)) % 231.14/231.40 (define @t23 () (= @t22 @t21)) % 231.14/231.40 (define @t24 () (=> @t6 @t23)) % 231.14/231.40 (define @t25 () (forall @t7 @t24)) % 231.14/231.40 (define @t26 () (tptp.ssList @t2)) % 231.14/231.40 (define @t27 () (=> @t26 @t25)) % 231.14/231.40 (define @t28 () (forall @t9 @t27)) % 231.14/231.40 (define @t29 () (tptp.cons @t1 tptp.nil)) % 231.14/231.40 (define @t30 () (tptp.app @t1 @t12)) % 231.14/231.40 (define @t31 () (tptp.frontsegP @t2 @t1)) % 231.14/231.40 (define @t32 () (tptp.ssList @t1)) % 231.14/231.40 (define @t33 () (tptp.app @t12 @t1)) % 231.14/231.40 (define @t34 () (tptp.rearsegP @t2 @t1)) % 231.14/231.40 (define @t35 () (tptp.app @t33 @t10)) % 231.14/231.40 (define @t36 () (and @t14 (= @t35 @t2))) % 231.14/231.40 (define @t37 () (exists @t16 @t36)) % 231.14/231.40 (define @t38 () (and @t18 @t37)) % 231.14/231.40 (define @t39 () (exists @t20 @t38)) % 231.14/231.40 (define @t40 () (tptp.segmentP @t2 @t1)) % 231.14/231.40 (define @t41 () (= @t40 @t39)) % 231.14/231.40 (define @t42 () (=> @t32 @t41)) % 231.14/231.40 (define @t43 () (forall @t7 @t42)) % 231.14/231.40 (define @t44 () (=> @t26 @t43)) % 231.14/231.40 (define @t45 () (forall @t9 @t44)) % 231.14/231.40 (define @t46 () (tptp.leq @t12 @t1)) % 231.14/231.40 (define @t47 () (tptp.leq @t1 @t12)) % 231.14/231.40 (define @t48 () (@var "Z" $$unsorted)) % 231.14/231.40 (define @t49 () (@var "Y" $$unsorted)) % 231.14/231.40 (define @t50 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t49)) (tptp.cons @t12 @t48)) @t2)) % 231.14/231.40 (define @t51 () (tptp.ssList @t48)) % 231.14/231.40 (define @t52 () (@list @t48)) % 231.14/231.40 (define @t53 () (tptp.ssList @t49)) % 231.14/231.40 (define @t54 () (@list @t49)) % 231.14/231.40 (define @t55 () (tptp.ssItem @t12)) % 231.14/231.40 (define @t56 () (tptp.lt @t1 @t12)) % 231.14/231.40 (define @t57 () (= @t1 @t12)) % 231.14/231.40 (define @t58 () (tptp.cons @t1 @t2)) % 231.14/231.40 (define @t59 () (tptp.ssList @t58)) % 231.14/231.40 (define @t60 () (forall @t7 (=> @t6 @t59))) % 231.14/231.40 (define @t61 () (=> @t26 @t60)) % 231.14/231.40 (define @t62 () (forall @t9 @t61)) % 231.14/231.40 (define @t63 () (tptp.ssList tptp.nil)) % 231.14/231.40 (define @t64 () (= @t1 @t2)) % 231.14/231.40 (define @t65 () (tptp.cons @t12 @t1)) % 231.14/231.40 (define @t66 () (= tptp.nil @t2)) % 231.14/231.40 (define @t67 () (tptp.hd @t2)) % 231.14/231.40 (define @t68 () (tptp.ssItem @t67)) % 231.14/231.40 (define @t69 () (not @t66)) % 231.14/231.40 (define @t70 () (=> @t69 @t68)) % 231.14/231.40 (define @t71 () (=> @t26 @t70)) % 231.14/231.40 (define @t72 () (forall @t9 @t71)) % 231.14/231.40 (define @t73 () (tptp.hd @t58)) % 231.14/231.40 (define @t74 () (=> @t6 (= @t73 @t1))) % 231.14/231.40 (define @t75 () (forall @t7 @t74)) % 231.14/231.40 (define @t76 () (=> @t26 @t75)) % 231.14/231.40 (define @t77 () (forall @t9 @t76)) % 231.14/231.40 (define @t78 () (tptp.tl @t2)) % 231.14/231.40 (define @t79 () (tptp.ssList @t78)) % 231.14/231.40 (define @t80 () (=> @t69 @t79)) % 231.14/231.40 (define @t81 () (=> @t26 @t80)) % 231.14/231.40 (define @t82 () (forall @t9 @t81)) % 231.14/231.40 (define @t83 () (tptp.tl @t58)) % 231.14/231.40 (define @t84 () (=> @t6 (= @t83 @t2))) % 231.14/231.40 (define @t85 () (forall @t7 @t84)) % 231.14/231.40 (define @t86 () (=> @t26 @t85)) % 231.14/231.40 (define @t87 () (forall @t9 @t86)) % 231.14/231.40 (define @t88 () (tptp.app @t2 @t1)) % 231.14/231.40 (define @t89 () (tptp.app @t1 @t2)) % 231.14/231.40 (define @t90 () (= (tptp.cons @t12 @t89) (tptp.app @t65 @t2))) % 231.14/231.40 (define @t91 () (forall @t20 (=> @t55 @t90))) % 231.14/231.40 (define @t92 () (=> @t32 @t91)) % 231.14/231.40 (define @t93 () (forall @t7 @t92)) % 231.14/231.40 (define @t94 () (=> @t26 @t93)) % 231.14/231.40 (define @t95 () (forall @t9 @t94)) % 231.14/231.40 (define @t96 () (tptp.app tptp.nil @t2)) % 231.14/231.40 (define @t97 () (=> @t26 (= @t96 @t2))) % 231.14/231.40 (define @t98 () (forall @t9 @t97)) % 231.14/231.40 (define @t99 () (tptp.leq @t1 @t2)) % 231.14/231.40 (define @t100 () (tptp.leq @t2 @t1)) % 231.14/231.40 (define @t101 () (tptp.geq @t2 @t1)) % 231.14/231.40 (define @t102 () (tptp.lt @t1 @t2)) % 231.14/231.40 (define @t103 () (tptp.lt @t2 @t1)) % 231.14/231.40 (define @t104 () (tptp.lt @t2 @t12)) % 231.14/231.40 (define @t105 () (tptp.gt @t2 @t1)) % 231.14/231.40 (define @t106 () (tptp.memberP @t12 @t2)) % 231.14/231.40 (define @t107 () (tptp.memberP @t1 @t2)) % 231.14/231.40 (define @t108 () (= (tptp.memberP @t30 @t2) (or @t107 @t106))) % 231.14/231.40 (define @t109 () (forall @t20 (=> @t18 @t108))) % 231.14/231.40 (define @t110 () (=> @t32 @t109)) % 231.14/231.40 (define @t111 () (forall @t7 @t110)) % 231.14/231.40 (define @t112 () (=> @t8 @t111)) % 231.14/231.40 (define @t113 () (forall @t9 @t112)) % 231.14/231.40 (define @t114 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t106))) % 231.14/231.40 (define @t115 () (forall @t20 (=> @t18 @t114))) % 231.14/231.40 (define @t116 () (=> @t6 @t115)) % 231.14/231.40 (define @t117 () (forall @t7 @t116)) % 231.14/231.40 (define @t118 () (=> @t8 @t117)) % 231.14/231.40 (define @t119 () (forall @t9 @t118)) % 231.14/231.40 (define @t120 () (tptp.app @t12 @t2)) % 231.14/231.40 (define @t121 () (tptp.segmentP @t2 @t2)) % 231.14/231.40 (define @t122 () (forall @t9 (=> @t26 @t121))) % 231.14/231.40 (define @t123 () (tptp.cons @t2 tptp.nil)) % 231.14/231.40 (define @t124 () (tptp.hd @t1)) % 231.14/231.40 (define @t125 () (= tptp.nil @t1)) % 231.14/231.40 (define @t126 () (not @t125)) % 231.14/231.40 (define @t127 () (tptp.cons @t2 @t1)) % 231.14/231.40 (define @t128 () (tptp.cons @t67 @t78)) % 231.14/231.40 (define @t129 () (=> @t69 (= @t128 @t2))) % 231.14/231.40 (define @t130 () (=> @t26 @t129)) % 231.14/231.40 (define @t131 () (forall @t9 @t130)) % 231.14/231.40 (define @t132 () (= @t12 @t2)) % 231.14/231.40 (define @t133 () (= @t30 @t89)) % 231.14/231.40 (define @t134 () (=> @t133 @t132)) % 231.14/231.40 (define @t135 () (=> @t18 @t134)) % 231.14/231.40 (define @t136 () (forall @t20 @t135)) % 231.14/231.40 (define @t137 () (=> @t32 @t136)) % 231.14/231.40 (define @t138 () (forall @t7 @t137)) % 231.14/231.40 (define @t139 () (=> @t26 @t138)) % 231.14/231.40 (define @t140 () (forall @t9 @t139)) % 231.14/231.40 (define @t141 () (= @t58 (tptp.app @t29 @t2))) % 231.14/231.40 (define @t142 () (forall @t7 (=> @t6 @t141))) % 231.14/231.40 (define @t143 () (=> @t26 @t142)) % 231.14/231.40 (define @t144 () (forall @t9 @t143)) % 231.14/231.40 (define @t145 () (= (tptp.app @t88 @t12) (tptp.app @t2 @t30))) % 231.14/231.40 (define @t146 () (forall @t20 (=> @t18 @t145))) % 231.14/231.40 (define @t147 () (=> @t32 @t146)) % 231.14/231.40 (define @t148 () (forall @t7 @t147)) % 231.14/231.40 (define @t149 () (=> @t26 @t148)) % 231.14/231.40 (define @t150 () (forall @t9 @t149)) % 231.14/231.40 (define @t151 () (tptp.app @t2 tptp.nil)) % 231.14/231.40 (define @t152 () (=> @t26 (= @t151 @t2))) % 231.14/231.40 (define @t153 () (forall @t9 @t152)) % 231.14/231.40 (define @t154 () (tptp.hd @t88)) % 231.14/231.40 (define @t155 () (=> @t69 (= @t154 @t67))) % 231.14/231.40 (define @t156 () (=> @t32 @t155)) % 231.14/231.40 (define @t157 () (forall @t7 @t156)) % 231.14/231.40 (define @t158 () (=> @t26 @t157)) % 231.14/231.40 (define @t159 () (forall @t9 @t158)) % 231.14/231.40 (define @t160 () (= (tptp.tl @t88) (tptp.app @t78 @t1))) % 231.14/231.40 (define @t161 () (=> @t69 @t160)) % 231.14/231.40 (define @t162 () (=> @t32 @t161)) % 231.14/231.40 (define @t163 () (forall @t7 @t162)) % 231.14/231.40 (define @t164 () (=> @t26 @t163)) % 231.14/231.40 (define @t165 () (forall @t9 @t164)) % 231.14/231.40 (define @t166 () (not (= tptp.nil @t12))) % 231.14/231.40 (define @t167 () (and @t166 (= tptp.nil @t10))) % 231.14/231.40 (define @t168 () (@var "X1" $$unsorted)) % 231.14/231.40 (define @t169 () (tptp.memberP @t2 @t168)) % 231.14/231.40 (define @t170 () (not (tptp.memberP @t1 @t168))) % 231.14/231.40 (define @t171 () (or @t170 @t169)) % 231.14/231.40 (define @t172 () (tptp.ssItem @t168)) % 231.14/231.40 (define @t173 () (@list @t168)) % 231.14/231.40 (define @t174 () (forall @t173 (=> @t172 @t171))) % 231.14/231.40 (define @t175 () (tptp.cons @t49 tptp.nil)) % 231.14/231.40 (define @t176 () (tptp.app @t175 @t48)) % 231.14/231.40 (define @t177 () (tptp.app @t48 @t175)) % 231.14/231.40 (define @t178 () (not (= @t177 @t12))) % 231.14/231.40 (define @t179 () (and @t51 @t178 (= @t176 @t10))) % 231.14/231.40 (define @t180 () (exists @t52 @t179)) % 231.14/231.40 (define @t181 () (tptp.ssItem @t49)) % 231.14/231.40 (define @t182 () (and @t181 @t180)) % 231.14/231.40 (define @t183 () (exists @t54 @t182)) % 231.14/231.40 (define @t184 () (= @t2 @t12)) % 231.14/231.40 (define @t185 () (not @t184)) % 231.14/231.40 (define @t186 () (not (= @t1 @t10))) % 231.14/231.40 (define @t187 () (or @t186 @t185 @t183 @t174 @t167)) % 231.14/231.40 (define @t188 () (=> @t14 @t187)) % 231.14/231.40 (define @t189 () (forall @t16 @t188)) % 231.14/231.40 (define @t190 () (=> @t18 @t189)) % 231.14/231.40 (define @t191 () (forall @t20 @t190)) % 231.14/231.40 (define @t192 () (=> @t32 @t191)) % 231.14/231.40 (define @t193 () (forall @t7 @t192)) % 231.14/231.40 (define @t194 () (=> @t26 @t193)) % 231.14/231.40 (define @t195 () (forall @t9 @t194)) % 231.14/231.40 (define @t196 () (not @t195)) % 231.14/231.40 (define @t197 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 231.14/231.40 (define @t198 () (tptp.memberP @t2 @t197)) % 231.14/231.40 (define @t199 () (@var "BOUND_VARIABLE_11039" $$unsorted)) % 231.14/231.40 (define @t200 () (not (tptp.memberP @t199 @t197))) % 231.14/231.40 (define @t201 () (not (tptp.ssItem @t197))) % 231.14/231.40 (define @t202 () (= @t2 tptp.nil)) % 231.14/231.40 (define @t203 () (not @t202)) % 231.14/231.40 (define @t204 () (@var "BOUND_VARIABLE_10954" $$unsorted)) % 231.14/231.40 (define @t205 () (tptp.app @t175 @t204)) % 231.14/231.40 (define @t206 () (tptp.app @t204 @t175)) % 231.14/231.40 (define @t207 () (= @t2 @t206)) % 231.14/231.40 (define @t208 () (not (tptp.ssList @t204))) % 231.14/231.40 (define @t209 () (not @t181)) % 231.14/231.40 (define @t210 () (@list @t49 @t204)) % 231.14/231.40 (define @t211 () (not (tptp.ssList @t199))) % 231.14/231.40 (define @t212 () (not @t26)) % 231.14/231.40 (define @t213 () (@list @t2 @t199 @t197)) % 231.14/231.40 (define @t214 () (forall @t213 (or @t212 @t211 (not (forall @t210 (or @t209 @t208 @t207 (not (= @t205 @t199))))) (and @t203 (= tptp.nil @t199)) @t201 @t200 @t198))) % 231.14/231.40 (define @t215 () (@quantifiers_skolemize @t214 2)) % 231.14/231.40 (define @t216 () (@quantifiers_skolemize @t214 0)) % 231.14/231.40 (define @t217 () (tptp.memberP @t216 @t215)) % 231.14/231.40 (define @t218 () (@quantifiers_skolemize @t214 1)) % 231.14/231.40 (define @t219 () (tptp.memberP @t218 @t215)) % 231.14/231.40 (define @t220 () (not @t219)) % 231.14/231.40 (define @t221 () (tptp.ssItem @t215)) % 231.14/231.40 (define @t222 () (not @t221)) % 231.14/231.40 (define @t223 () (= tptp.nil @t218)) % 231.14/231.40 (define @t224 () (not (= @t216 tptp.nil))) % 231.14/231.40 (define @t225 () (and @t224 @t223)) % 231.14/231.40 (define @t226 () (not (= @t205 @t218))) % 231.14/231.40 (define @t227 () (or @t209 @t208 (= @t216 @t206) @t226)) % 231.14/231.40 (define @t228 () (forall @t210 @t227)) % 231.14/231.40 (define @t229 () (not @t228)) % 231.14/231.40 (define @t230 () (tptp.ssList @t218)) % 231.14/231.40 (define @t231 () (not @t230)) % 231.14/231.40 (define @t232 () (not (tptp.ssList @t216))) % 231.14/231.40 (define @t233 () (or @t232 @t231 @t229 @t225 @t222 @t220 @t217)) % 231.14/231.40 (define @t234 () (not @t233)) % 231.14/231.40 (define @t235 () (and @t203 (= @t199 tptp.nil))) % 231.14/231.40 (define @t236 () (not (= @t199 @t205))) % 231.14/231.40 (define @t237 () (or @t209 @t208 @t207 @t236)) % 231.14/231.40 (define @t238 () (forall @t210 @t237)) % 231.14/231.40 (define @t239 () (not @t238)) % 231.14/231.40 (define @t240 () (or @t212 @t211 @t239 @t235 @t201 @t200 @t198)) % 231.14/231.40 (define @t241 () (or @t211 @t239 @t235 @t201 @t200 @t198)) % 231.14/231.40 (define @t242 () (or @t212 @t241)) % 231.14/231.40 (define @t243 () (forall @t213 @t242)) % 231.14/231.40 (define @t244 () (@list @t199 @t197)) % 231.14/231.40 (define @t245 () (forall @t244 @t242)) % 231.14/231.40 (define @t246 () (forall @t244 @t241)) % 231.14/231.40 (define @t247 () (@var "BOUND_VARIABLE_11022" $$unsorted)) % 231.14/231.40 (define @t248 () (or @t212 @t246)) % 231.14/231.40 (define @t249 () (tptp.memberP @t2 @t247)) % 231.14/231.40 (define @t250 () (not (tptp.memberP @t1 @t247))) % 231.14/231.40 (define @t251 () (not (tptp.ssItem @t247))) % 231.14/231.40 (define @t252 () (= @t1 tptp.nil)) % 231.14/231.40 (define @t253 () (and @t203 @t252)) % 231.14/231.40 (define @t254 () (not (= @t1 @t205))) % 231.14/231.40 (define @t255 () (not (forall @t210 (or @t209 @t208 @t207 @t254)))) % 231.14/231.40 (define @t256 () (not @t32)) % 231.14/231.40 (define @t257 () (or @t256 @t255 @t253 @t251 @t250 @t249)) % 231.14/231.40 (define @t258 () (@list @t1 @t247)) % 231.14/231.40 (define @t259 () (or @t212 (forall @t258 @t257))) % 231.14/231.40 (define @t260 () (or @t251 @t250 @t249)) % 231.14/231.40 (define @t261 () (or @t256 @t260 @t255 @t253)) % 231.14/231.40 (define @t262 () (forall @t258 @t261)) % 231.14/231.40 (define @t263 () (@list @t247)) % 231.14/231.40 (define @t264 () (forall @t263 @t261)) % 231.14/231.40 (define @t265 () (forall @t263 @t260)) % 231.14/231.40 (define @t266 () (or @t256 @t265 @t255 @t253)) % 231.14/231.40 (define @t267 () (not @t172)) % 231.14/231.40 (define @t268 () (or @t267 @t170 @t169)) % 231.14/231.40 (define @t269 () (forall @t173 @t268)) % 231.14/231.40 (define @t270 () (or @t256 @t269 @t255 @t253)) % 231.14/231.40 (define @t271 () (forall @t7 @t270)) % 231.14/231.40 (define @t272 () (or @t212 @t271)) % 231.14/231.40 (define @t273 () (or @t212 @t270)) % 231.14/231.40 (define @t274 () (or @t256 @t269 @t212 @t255 @t253)) % 231.14/231.40 (define @t275 () (or @t269 @t256 @t212 @t255 @t253)) % 231.14/231.40 (define @t276 () (or @t212 @t255 @t253)) % 231.14/231.40 (define @t277 () (not (= @t2 @t2))) % 231.14/231.40 (define @t278 () (or @t212 @t277 @t255 @t253)) % 231.14/231.40 (define @t279 () (not (= @t12 tptp.nil))) % 231.14/231.40 (define @t280 () (and @t279 @t252)) % 231.14/231.40 (define @t281 () (= @t12 @t206)) % 231.14/231.40 (define @t282 () (not (forall @t210 (or @t209 @t208 @t281 @t254)))) % 231.14/231.40 (define @t283 () (not @t18)) % 231.14/231.40 (define @t284 () (or @t185 @t283 @t185 @t282 @t280)) % 231.14/231.40 (define @t285 () (or @t283 @t185 @t282 @t280)) % 231.14/231.40 (define @t286 () (forall @t20 @t285)) % 231.14/231.40 (define @t287 () (or @t269 @t256 @t286)) % 231.14/231.40 (define @t288 () (or @t269 @t256 @t285)) % 231.14/231.40 (define @t289 () (or @t283 @t185 @t269 @t256 @t282 @t280)) % 231.14/231.40 (define @t290 () (or @t185 @t269 @t256 @t282 @t280)) % 231.14/231.40 (define @t291 () (or @t256 @t282 @t280)) % 231.14/231.40 (define @t292 () (not (= @t1 @t1))) % 231.14/231.40 (define @t293 () (or @t256 @t292 @t282 @t280)) % 231.14/231.40 (define @t294 () (and @t279 (= @t10 tptp.nil))) % 231.14/231.40 (define @t295 () (not (= @t10 @t205))) % 231.14/231.40 (define @t296 () (or @t209 @t208 @t281 @t295)) % 231.14/231.40 (define @t297 () (not (forall @t210 @t296))) % 231.14/231.40 (define @t298 () (not @t14)) % 231.14/231.40 (define @t299 () (or @t186 @t298 @t186 @t297 @t294)) % 231.14/231.40 (define @t300 () (or @t298 @t186 @t297 @t294)) % 231.14/231.40 (define @t301 () (forall @t16 @t300)) % 231.14/231.40 (define @t302 () (or @t185 @t269 @t301)) % 231.14/231.40 (define @t303 () (or @t185 @t269 @t300)) % 231.14/231.40 (define @t304 () (or @t298 @t186 @t185 @t297 @t269 @t294)) % 231.14/231.40 (define @t305 () (or @t186 @t185 @t297 @t269 @t294)) % 231.14/231.40 (define @t306 () (or @t208 @t281 @t295)) % 231.14/231.40 (define @t307 () (or @t209 @t306)) % 231.14/231.40 (define @t308 () (forall @t210 @t307)) % 231.14/231.40 (define @t309 () (@list @t204)) % 231.14/231.40 (define @t310 () (forall @t309 @t307)) % 231.14/231.40 (define @t311 () (forall @t309 @t306)) % 231.14/231.40 (define @t312 () (or @t209 @t311)) % 231.14/231.40 (define @t313 () (= @t10 @t176)) % 231.14/231.40 (define @t314 () (not @t313)) % 231.14/231.40 (define @t315 () (= @t12 @t177)) % 231.14/231.40 (define @t316 () (not @t51)) % 231.14/231.40 (define @t317 () (forall @t52 (or @t316 @t315 @t314))) % 231.14/231.40 (define @t318 () (not @t317)) % 231.14/231.40 (define @t319 () (and @t181 @t318)) % 231.14/231.40 (define @t320 () (forall @t54 (not @t319))) % 231.14/231.40 (define @t321 () (not @t320)) % 231.14/231.40 (define @t322 () (not @t315)) % 231.14/231.40 (define @t323 () (not @t322)) % 231.14/231.40 (define @t324 () (or @t316 @t323 @t314)) % 231.14/231.40 (define @t325 () (and @t51 @t322 @t313)) % 231.14/231.40 (define @t326 () (forall @t52 (not @t325))) % 231.14/231.40 (define @t327 () (not @t326)) % 231.14/231.40 (define @t328 () (= @t2 @t96)) % 231.14/231.40 (define @t329 () (tptp.app tptp.nil tptp.nil)) % 231.14/231.40 (define @t330 () (= tptp.nil @t329)) % 231.14/231.40 (define @t331 () (not @t63)) % 231.14/231.40 (define @t332 () (or @t331 @t330)) % 231.14/231.40 (define @t333 () (@list false false)) % 231.14/231.40 (define @t334 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 231.14/231.40 (define @t335 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 231.14/231.40 (define @t336 () (not (tptp.ssList @t334))) % 231.14/231.40 (define @t337 () (@list @t12 @t334)) % 231.14/231.40 (define @t338 () (= (tptp.memberP @t2 @t335) (not (forall @t337 (or @t283 @t336 (not (= @t2 (tptp.app @t12 (tptp.cons @t335 @t334))))))))) % 231.14/231.40 (define @t339 () (not (tptp.ssItem @t335))) % 231.14/231.40 (define @t340 () (or @t339 @t338)) % 231.14/231.40 (define @t341 () (or @t212 @t340)) % 231.14/231.40 (define @t342 () (forall (@list @t2 @t335) @t341)) % 231.14/231.40 (define @t343 () (@list @t335)) % 231.14/231.40 (define @t344 () (forall @t343 @t341)) % 231.14/231.40 (define @t345 () (forall @t343 @t340)) % 231.14/231.40 (define @t346 () (@list @t1)) % 231.14/231.40 (define @t347 () (or @t212 @t345)) % 231.14/231.40 (define @t348 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t334))))) % 231.14/231.40 (define @t349 () (or @t283 @t336 @t348)) % 231.14/231.40 (define @t350 () (= @t22 (not (forall @t337 @t349)))) % 231.14/231.40 (define @t351 () (not @t6)) % 231.14/231.40 (define @t352 () (forall @t7 (or @t351 @t350))) % 231.14/231.40 (define @t353 () (or @t336 @t348)) % 231.14/231.40 (define @t354 () (or @t283 @t353)) % 231.14/231.40 (define @t355 () (forall @t337 @t354)) % 231.14/231.40 (define @t356 () (@list @t334)) % 231.14/231.40 (define @t357 () (forall @t356 @t354)) % 231.14/231.40 (define @t358 () (forall @t356 @t353)) % 231.14/231.40 (define @t359 () (@list @t10)) % 231.14/231.40 (define @t360 () (or @t283 @t358)) % 231.14/231.40 (define @t361 () (= @t2 @t13)) % 231.14/231.40 (define @t362 () (forall @t16 (or @t298 (not @t361)))) % 231.14/231.40 (define @t363 () (not @t362)) % 231.14/231.40 (define @t364 () (and @t18 @t363)) % 231.14/231.40 (define @t365 () (forall @t20 (not @t364))) % 231.14/231.40 (define @t366 () (not @t365)) % 231.14/231.40 (define @t367 () (and @t14 @t361)) % 231.14/231.40 (define @t368 () (forall @t16 (not @t367))) % 231.14/231.40 (define @t369 () (not @t368)) % 231.14/231.40 (define @t370 () (forall @t337 (or @t283 @t336 (not (= @t218 (tptp.app @t12 (tptp.cons @t215 @t334))))))) % 231.14/231.40 (define @t371 () (not @t370)) % 231.14/231.40 (define @t372 () (= @t219 @t371)) % 231.14/231.40 (define @t373 () (or @t231 @t222 @t372)) % 231.14/231.40 (define @t374 () (@list false false false)) % 231.14/231.40 (define @t375 () (@quantifiers_skolemize @t370 1)) % 231.14/231.40 (define @t376 () (tptp.cons @t215 @t375)) % 231.14/231.40 (define @t377 () (@quantifiers_skolemize @t370 0)) % 231.14/231.40 (define @t378 () (tptp.app @t377 @t376)) % 231.14/231.40 (define @t379 () (= @t218 @t378)) % 231.14/231.40 (define @t380 () (not @t379)) % 231.14/231.40 (define @t381 () (tptp.ssList @t375)) % 231.14/231.40 (define @t382 () (not @t381)) % 231.14/231.40 (define @t383 () (tptp.ssList @t377)) % 231.14/231.40 (define @t384 () (not @t383)) % 231.14/231.40 (define @t385 () (or @t384 @t382 @t380)) % 231.14/231.40 (define @t386 () (@list true)) % 231.14/231.40 (define @t387 () (@list @t385)) % 231.14/231.40 (define @t388 () (@var "BOUND_VARIABLE_8393" $$unsorted)) % 231.14/231.40 (define @t389 () (@var "BOUND_VARIABLE_8416" $$unsorted)) % 231.14/231.40 (define @t390 () (not (tptp.ssList @t388))) % 231.14/231.40 (define @t391 () (@list @t12 @t388)) % 231.14/231.40 (define @t392 () (= (tptp.segmentP @t2 @t389) (not (forall @t391 (or @t283 @t390 (not (= @t2 (tptp.app (tptp.app @t12 @t389) @t388)))))))) % 231.14/231.40 (define @t393 () (not (tptp.ssList @t389))) % 231.14/231.40 (define @t394 () (or @t393 @t392)) % 231.14/231.40 (define @t395 () (or @t212 @t394)) % 231.14/231.40 (define @t396 () (forall (@list @t2 @t389) @t395)) % 231.14/231.40 (define @t397 () (@list @t389)) % 231.14/231.40 (define @t398 () (forall @t397 @t395)) % 231.14/231.40 (define @t399 () (forall @t397 @t394)) % 231.14/231.40 (define @t400 () (or @t212 @t399)) % 231.14/231.40 (define @t401 () (not (= @t2 (tptp.app @t33 @t388)))) % 231.14/231.40 (define @t402 () (or @t283 @t390 @t401)) % 231.14/231.40 (define @t403 () (= @t40 (not (forall @t391 @t402)))) % 231.14/231.40 (define @t404 () (forall @t7 (or @t256 @t403))) % 231.14/231.40 (define @t405 () (or @t390 @t401)) % 231.14/231.40 (define @t406 () (or @t283 @t405)) % 231.14/231.40 (define @t407 () (forall @t391 @t406)) % 231.14/231.40 (define @t408 () (@list @t388)) % 231.14/231.40 (define @t409 () (forall @t408 @t406)) % 231.14/231.40 (define @t410 () (forall @t408 @t405)) % 231.14/231.40 (define @t411 () (or @t283 @t410)) % 231.14/231.40 (define @t412 () (= @t2 @t35)) % 231.14/231.40 (define @t413 () (forall @t16 (or @t298 (not @t412)))) % 231.14/231.40 (define @t414 () (not @t413)) % 231.14/231.40 (define @t415 () (and @t18 @t414)) % 231.14/231.40 (define @t416 () (forall @t20 (not @t415))) % 231.14/231.40 (define @t417 () (not @t416)) % 231.14/231.40 (define @t418 () (and @t14 @t412)) % 231.14/231.40 (define @t419 () (forall @t16 (not @t418))) % 231.14/231.40 (define @t420 () (not @t419)) % 231.14/231.40 (define @t421 () (forall @t391 (or @t283 @t390 (not (= @t218 (tptp.app (tptp.app @t12 @t218) @t388)))))) % 231.14/231.40 (define @t422 () (not @t421)) % 231.14/231.40 (define @t423 () (tptp.segmentP @t218 @t218)) % 231.14/231.40 (define @t424 () (= @t423 @t422)) % 231.14/231.40 (define @t425 () (or @t231 @t231 @t424)) % 231.14/231.40 (define @t426 () (@list @t218)) % 231.14/231.40 (define @t427 () (or @t231 @t423)) % 231.14/231.40 (define @t428 () (@quantifiers_skolemize @t421 1)) % 231.14/231.40 (define @t429 () (@quantifiers_skolemize @t421 0)) % 231.14/231.40 (define @t430 () (tptp.app (tptp.app @t429 @t218) @t428)) % 231.14/231.40 (define @t431 () (= @t218 @t430)) % 231.14/231.40 (define @t432 () (not @t431)) % 231.14/231.40 (define @t433 () (or (not (tptp.ssList @t429)) (not (tptp.ssList @t428)) @t432)) % 231.14/231.40 (define @t434 () (= @t2 @t128)) % 231.14/231.40 (define @t435 () (or @t212 @t202 @t434)) % 231.14/231.40 (define @t436 () (not @t203)) % 231.14/231.40 (define @t437 () (=> @t203 @t434)) % 231.14/231.40 (define @t438 () (tptp.tl @t218)) % 231.14/231.40 (define @t439 () (tptp.hd @t218)) % 231.14/231.40 (define @t440 () (tptp.cons @t439 @t438)) % 231.14/231.40 (define @t441 () (= @t218 @t440)) % 231.14/231.40 (define @t442 () (= @t218 tptp.nil)) % 231.14/231.40 (define @t443 () (or @t231 @t442 @t441)) % 231.14/231.40 (define @t444 () (forall @t9 @t435)) % 231.14/231.40 (define @t445 () (or @t231 @t223 @t441)) % 231.14/231.40 (define @t446 () (@list false)) % 231.14/231.40 (define @t447 () (= tptp.nil @t216)) % 231.14/231.40 (define @t448 () (not @t447)) % 231.14/231.40 (define @t449 () (not @t223)) % 231.14/231.40 (define @t450 () (not @t217)) % 231.14/231.40 (define @t451 () (not @t450)) % 231.14/231.40 (define @t452 () (= true false)) % 231.14/231.40 (define @t453 () (and @t450 @t447 @t223 @t219)) % 231.14/231.40 (define @t454 () (or @t212 @t202 @t68)) % 231.14/231.40 (define @t455 () (=> @t203 @t68)) % 231.14/231.40 (define @t456 () (tptp.ssItem @t439)) % 231.14/231.40 (define @t457 () (or @t231 @t442 @t456)) % 231.14/231.40 (define @t458 () (forall @t9 @t454)) % 231.14/231.40 (define @t459 () (or @t231 @t223 @t456)) % 231.14/231.40 (define @t460 () (or @t212 @t202 @t79)) % 231.14/231.40 (define @t461 () (=> @t203 @t79)) % 231.14/231.40 (define @t462 () (tptp.ssList @t438)) % 231.14/231.40 (define @t463 () (or @t231 @t442 @t462)) % 231.14/231.40 (define @t464 () (forall @t9 @t460)) % 231.14/231.40 (define @t465 () (or @t231 @t223 @t462)) % 231.14/231.40 (define @t466 () (@var "BOUND_VARIABLE_10671" $$unsorted)) % 231.14/231.40 (define @t467 () (= (tptp.tl (tptp.app @t2 @t466)) (tptp.app @t78 @t466))) % 231.14/231.40 (define @t468 () (not (tptp.ssList @t466))) % 231.14/231.40 (define @t469 () (or @t212 @t202 @t468 @t467)) % 231.14/231.40 (define @t470 () (or @t468 @t467)) % 231.14/231.40 (define @t471 () (or @t212 @t202 @t470)) % 231.14/231.40 (define @t472 () (@list @t2 @t466)) % 231.14/231.40 (define @t473 () (forall @t472 @t471)) % 231.14/231.40 (define @t474 () (@list @t466)) % 231.14/231.40 (define @t475 () (forall @t474 @t471)) % 231.14/231.40 (define @t476 () (forall @t474 @t470)) % 231.14/231.40 (define @t477 () (or @t212 @t202 @t476)) % 231.14/231.40 (define @t478 () (or @t256 @t160)) % 231.14/231.40 (define @t479 () (forall @t7 @t478)) % 231.14/231.40 (define @t480 () (or @t212 @t202 @t479)) % 231.14/231.40 (define @t481 () (or @t202 @t479)) % 231.14/231.40 (define @t482 () (or @t202 @t478)) % 231.14/231.40 (define @t483 () (or @t256 @t202 @t160)) % 231.14/231.40 (define @t484 () (=> @t203 @t160)) % 231.14/231.40 (define @t485 () (tptp.app @t218 tptp.nil)) % 231.14/231.40 (define @t486 () (tptp.tl @t485)) % 231.14/231.40 (define @t487 () (tptp.app @t438 tptp.nil)) % 231.14/231.40 (define @t488 () (or @t231 @t442 @t331 (= @t486 @t487))) % 231.14/231.40 (define @t489 () (forall @t472 @t469)) % 231.14/231.40 (define @t490 () (= @t487 @t486)) % 231.14/231.40 (define @t491 () (or @t231 @t223 @t331 @t490)) % 231.14/231.40 (define @t492 () (@var "BOUND_VARIABLE_9132" $$unsorted)) % 231.14/231.40 (define @t493 () (tptp.ssList (tptp.cons @t492 @t2))) % 231.14/231.40 (define @t494 () (not (tptp.ssItem @t492))) % 231.14/231.40 (define @t495 () (or @t494 @t493)) % 231.14/231.40 (define @t496 () (or @t212 @t495)) % 231.14/231.40 (define @t497 () (forall (@list @t2 @t492) @t496)) % 231.14/231.40 (define @t498 () (@list @t492)) % 231.14/231.40 (define @t499 () (forall @t498 @t496)) % 231.14/231.40 (define @t500 () (forall @t498 @t495)) % 231.14/231.40 (define @t501 () (or @t212 @t500)) % 231.14/231.40 (define @t502 () (forall @t7 (or @t351 @t59))) % 231.14/231.40 (define @t503 () (tptp.cons @t439 tptp.nil)) % 231.14/231.40 (define @t504 () (tptp.ssList @t503)) % 231.14/231.40 (define @t505 () (not @t456)) % 231.14/231.40 (define @t506 () (or @t331 @t505 @t504)) % 231.14/231.40 (define @t507 () (@var "BOUND_VARIABLE_10535" $$unsorted)) % 231.14/231.40 (define @t508 () (= (tptp.cons @t507 @t2) (tptp.app (tptp.cons @t507 tptp.nil) @t2))) % 231.14/231.40 (define @t509 () (not (tptp.ssItem @t507))) % 231.14/231.40 (define @t510 () (or @t509 @t508)) % 231.14/231.40 (define @t511 () (or @t212 @t510)) % 231.14/231.40 (define @t512 () (forall (@list @t2 @t507) @t511)) % 231.14/231.40 (define @t513 () (@list @t507)) % 231.14/231.40 (define @t514 () (forall @t513 @t511)) % 231.14/231.40 (define @t515 () (forall @t513 @t510)) % 231.14/231.40 (define @t516 () (or @t212 @t515)) % 231.14/231.40 (define @t517 () (forall @t7 (or @t351 @t141))) % 231.14/231.40 (define @t518 () (tptp.app @t503 @t438)) % 231.14/231.40 (define @t519 () (= @t440 @t518)) % 231.14/231.40 (define @t520 () (not @t462)) % 231.14/231.40 (define @t521 () (or @t520 @t505 @t519)) % 231.14/231.40 (define @t522 () (@var "BOUND_VARIABLE_10511" $$unsorted)) % 231.14/231.40 (define @t523 () (= @t2 @t522)) % 231.14/231.40 (define @t524 () (@var "BOUND_VARIABLE_10509" $$unsorted)) % 231.14/231.40 (define @t525 () (not (= (tptp.app @t524 @t2) (tptp.app @t524 @t522)))) % 231.14/231.40 (define @t526 () (not (tptp.ssList @t522))) % 231.14/231.40 (define @t527 () (not (tptp.ssList @t524))) % 231.14/231.40 (define @t528 () (or @t527 @t526 @t525 @t523)) % 231.14/231.40 (define @t529 () (or @t212 @t528)) % 231.14/231.40 (define @t530 () (forall (@list @t2 @t524 @t522) @t529)) % 231.14/231.40 (define @t531 () (@list @t524 @t522)) % 231.14/231.40 (define @t532 () (forall @t531 @t529)) % 231.14/231.40 (define @t533 () (forall @t531 @t528)) % 231.14/231.40 (define @t534 () (@var "BOUND_VARIABLE_10488" $$unsorted)) % 231.14/231.40 (define @t535 () (or @t212 @t533)) % 231.14/231.40 (define @t536 () (= @t2 @t534)) % 231.14/231.40 (define @t537 () (tptp.app @t1 @t534)) % 231.14/231.40 (define @t538 () (not (tptp.ssList @t534))) % 231.14/231.40 (define @t539 () (@list @t1 @t534)) % 231.14/231.40 (define @t540 () (forall @t539 (or @t256 @t538 (not (= @t89 @t537)) @t536))) % 231.14/231.40 (define @t541 () (not (= @t537 @t89))) % 231.14/231.40 (define @t542 () (or @t256 @t538 @t541 @t536)) % 231.14/231.40 (define @t543 () (or @t538 @t541 @t536)) % 231.14/231.40 (define @t544 () (or @t256 @t543)) % 231.14/231.40 (define @t545 () (forall @t539 @t544)) % 231.14/231.40 (define @t546 () (@list @t534)) % 231.14/231.40 (define @t547 () (forall @t546 @t544)) % 231.14/231.40 (define @t548 () (forall @t546 @t543)) % 231.14/231.40 (define @t549 () (@list @t12)) % 231.14/231.40 (define @t550 () (or @t256 @t548)) % 231.14/231.40 (define @t551 () (not @t133)) % 231.14/231.40 (define @t552 () (or @t283 @t551 @t184)) % 231.14/231.40 (define @t553 () (forall @t20 @t552)) % 231.14/231.40 (define @t554 () (=> @t133 @t184)) % 231.14/231.40 (define @t555 () (= @t487 (tptp.app @t438 @t218))) % 231.14/231.40 (define @t556 () (not @t555)) % 231.14/231.40 (define @t557 () (or @t331 @t520 @t231 @t556 @t223)) % 231.14/231.40 (define @t558 () (tptp.app tptp.nil @t438)) % 231.14/231.40 (define @t559 () (= @t438 @t558)) % 231.14/231.40 (define @t560 () (or @t520 @t559)) % 231.14/231.40 (define @t561 () (@var "BOUND_VARIABLE_10576" $$unsorted)) % 231.14/231.40 (define @t562 () (@var "BOUND_VARIABLE_10574" $$unsorted)) % 231.14/231.40 (define @t563 () (= (tptp.app (tptp.app @t2 @t562) @t561) (tptp.app @t2 (tptp.app @t562 @t561)))) % 231.14/231.40 (define @t564 () (not (tptp.ssList @t561))) % 231.14/231.40 (define @t565 () (not (tptp.ssList @t562))) % 231.14/231.40 (define @t566 () (or @t565 @t564 @t563)) % 231.14/231.40 (define @t567 () (or @t212 @t566)) % 231.14/231.40 (define @t568 () (forall (@list @t2 @t562 @t561) @t567)) % 231.14/231.40 (define @t569 () (@list @t562 @t561)) % 231.14/231.40 (define @t570 () (forall @t569 @t567)) % 231.14/231.40 (define @t571 () (forall @t569 @t566)) % 231.14/231.40 (define @t572 () (@var "BOUND_VARIABLE_10556" $$unsorted)) % 231.14/231.40 (define @t573 () (or @t212 @t571)) % 231.14/231.40 (define @t574 () (= (tptp.app @t88 @t572) (tptp.app @t2 (tptp.app @t1 @t572)))) % 231.14/231.40 (define @t575 () (not (tptp.ssList @t572))) % 231.14/231.40 (define @t576 () (or @t256 @t575 @t574)) % 231.14/231.40 (define @t577 () (@list @t1 @t572)) % 231.14/231.40 (define @t578 () (forall @t577 @t576)) % 231.14/231.40 (define @t579 () (or @t575 @t574)) % 231.14/231.40 (define @t580 () (or @t256 @t579)) % 231.14/231.40 (define @t581 () (forall @t577 @t580)) % 231.14/231.40 (define @t582 () (@list @t572)) % 231.14/231.40 (define @t583 () (forall @t582 @t580)) % 231.14/231.40 (define @t584 () (forall @t582 @t579)) % 231.14/231.40 (define @t585 () (or @t256 @t584)) % 231.14/231.40 (define @t586 () (forall @t20 (or @t283 @t145))) % 231.14/231.40 (define @t587 () (tptp.app @t438 @t518)) % 231.14/231.40 (define @t588 () (tptp.app @t438 @t503)) % 231.14/231.40 (define @t589 () (= (tptp.app @t588 @t438) @t587)) % 231.14/231.40 (define @t590 () (not @t504)) % 231.14/231.40 (define @t591 () (or @t520 @t590 @t520 @t589)) % 231.14/231.40 (define @t592 () (= @t218 @t518)) % 231.14/231.40 (define @t593 () (and @t441 @t519)) % 231.14/231.40 (define @t594 () (not (= @t518 @t218))) % 231.14/231.40 (define @t595 () (or @t505 @t520 (= @t588 @t216) @t594)) % 231.14/231.40 (define @t596 () (forall @t210 (or @t209 @t208 (= @t206 @t216) @t226))) % 231.14/231.40 (define @t597 () (not @t592)) % 231.14/231.40 (define @t598 () (= @t216 @t588)) % 231.14/231.40 (define @t599 () (or @t505 @t520 @t598 @t597)) % 231.14/231.40 (define @t600 () (= @t2 @t151)) % 231.14/231.40 (define @t601 () (= @t218 @t485)) % 231.14/231.40 (define @t602 () (or @t231 @t601)) % 231.14/231.40 (define @t603 () (and @t447 @t441 @t601 @t519 @t490 @t559 @t589 @t598)) % 231.14/231.40 (define @t604 () (not @t598)) % 231.14/231.40 (define @t605 () (not @t519)) % 231.14/231.40 (define @t606 () (not @t441)) % 231.14/231.40 (define @t607 () (@list false true false)) % 231.14/231.40 (define @t608 () (@var "BOUND_VARIABLE_10644" $$unsorted)) % 231.14/231.40 (define @t609 () (= @t67 (tptp.hd (tptp.app @t2 @t608)))) % 231.14/231.40 (define @t610 () (not (tptp.ssList @t608))) % 231.14/231.40 (define @t611 () (or @t212 @t202 @t610 @t609)) % 231.14/231.40 (define @t612 () (or @t610 @t609)) % 231.14/231.40 (define @t613 () (or @t212 @t202 @t612)) % 231.14/231.40 (define @t614 () (@list @t2 @t608)) % 231.14/231.40 (define @t615 () (forall @t614 @t613)) % 231.14/231.40 (define @t616 () (@list @t608)) % 231.14/231.40 (define @t617 () (forall @t616 @t613)) % 231.14/231.40 (define @t618 () (forall @t616 @t612)) % 231.14/231.40 (define @t619 () (or @t212 @t202 @t618)) % 231.14/231.40 (define @t620 () (= @t67 @t154)) % 231.14/231.40 (define @t621 () (or @t256 @t620)) % 231.14/231.40 (define @t622 () (forall @t7 @t621)) % 231.14/231.40 (define @t623 () (or @t212 @t202 @t622)) % 231.14/231.40 (define @t624 () (or @t202 @t622)) % 231.14/231.40 (define @t625 () (or @t202 @t621)) % 231.14/231.40 (define @t626 () (or @t256 @t202 @t620)) % 231.14/231.40 (define @t627 () (=> @t203 @t620)) % 231.14/231.40 (define @t628 () (tptp.hd @t378)) % 231.14/231.40 (define @t629 () (tptp.hd @t377)) % 231.14/231.40 (define @t630 () (= @t629 @t628)) % 231.14/231.40 (define @t631 () (tptp.ssList @t376)) % 231.14/231.40 (define @t632 () (not @t631)) % 231.14/231.40 (define @t633 () (or @t384 (= @t377 tptp.nil) @t632 @t630)) % 231.14/231.40 (define @t634 () (forall @t614 @t611)) % 231.14/231.40 (define @t635 () (= tptp.nil @t377)) % 231.14/231.40 (define @t636 () (or @t384 @t635 @t632 @t630)) % 231.14/231.40 (define @t637 () (@list @t375 @t215)) % 231.14/231.40 (define @t638 () (or @t382 @t222 @t631)) % 231.14/231.40 (define @t639 () (@var "BOUND_VARIABLE_9413" $$unsorted)) % 231.14/231.40 (define @t640 () (@var "BOUND_VARIABLE_9415" $$unsorted)) % 231.14/231.40 (define @t641 () (= (tptp.cons @t640 (tptp.app @t639 @t2)) (tptp.app (tptp.cons @t640 @t639) @t2))) % 231.14/231.40 (define @t642 () (not (tptp.ssItem @t640))) % 231.14/231.40 (define @t643 () (not (tptp.ssList @t639))) % 231.14/231.40 (define @t644 () (or @t643 @t642 @t641)) % 231.14/231.40 (define @t645 () (or @t212 @t644)) % 231.14/231.40 (define @t646 () (forall (@list @t2 @t639 @t640) @t645)) % 231.14/231.40 (define @t647 () (@list @t639 @t640)) % 231.14/231.40 (define @t648 () (forall @t647 @t645)) % 231.14/231.40 (define @t649 () (forall @t647 @t644)) % 231.14/231.40 (define @t650 () (@var "BOUND_VARIABLE_9395" $$unsorted)) % 231.14/231.40 (define @t651 () (or @t212 @t649)) % 231.14/231.40 (define @t652 () (= (tptp.cons @t650 @t89) (tptp.app (tptp.cons @t650 @t1) @t2))) % 231.14/231.40 (define @t653 () (not (tptp.ssItem @t650))) % 231.14/231.40 (define @t654 () (or @t256 @t653 @t652)) % 231.14/231.40 (define @t655 () (@list @t1 @t650)) % 231.14/231.40 (define @t656 () (forall @t655 @t654)) % 231.14/231.40 (define @t657 () (or @t653 @t652)) % 231.14/231.40 (define @t658 () (or @t256 @t657)) % 231.14/231.40 (define @t659 () (forall @t655 @t658)) % 231.14/231.40 (define @t660 () (@list @t650)) % 231.14/231.40 (define @t661 () (forall @t660 @t658)) % 231.14/231.40 (define @t662 () (forall @t660 @t657)) % 231.14/231.40 (define @t663 () (or @t256 @t662)) % 231.14/231.40 (define @t664 () (forall @t20 (or (not @t55) @t90))) % 231.14/231.40 (define @t665 () (tptp.cons @t215 tptp.nil)) % 231.14/231.40 (define @t666 () (tptp.cons @t215 @t329)) % 231.14/231.40 (define @t667 () (= @t666 (tptp.app @t665 tptp.nil))) % 231.14/231.40 (define @t668 () (or @t331 @t331 @t222 @t667)) % 231.14/231.40 (define @t669 () (tptp.app @t665 @t375)) % 231.14/231.40 (define @t670 () (= @t376 @t669)) % 231.14/231.40 (define @t671 () (or @t382 @t222 @t670)) % 231.14/231.40 (define @t672 () (tptp.app @t665 @t377)) % 231.14/231.40 (define @t673 () (= (tptp.cons @t215 @t377) @t672)) % 231.14/231.40 (define @t674 () (or @t384 @t222 @t673)) % 231.14/231.40 (define @t675 () (tptp.ssList @t665)) % 231.14/231.40 (define @t676 () (or @t331 @t222 @t675)) % 231.14/231.40 (define @t677 () (tptp.app @t377 @t669)) % 231.14/231.40 (define @t678 () (= (tptp.app (tptp.app @t377 @t665) @t375) @t677)) % 231.14/231.40 (define @t679 () (not @t675)) % 231.14/231.40 (define @t680 () (or @t384 @t679 @t382 @t678)) % 231.14/231.40 (define @t681 () (@list false false false false)) % 231.14/231.40 (define @t682 () (tptp.app tptp.nil @t665)) % 231.14/231.40 (define @t683 () (= @t665 @t682)) % 231.14/231.40 (define @t684 () (or @t679 @t683)) % 231.14/231.40 (define @t685 () (tptp.memberP @t378 @t215)) % 231.14/231.40 (define @t686 () (tptp.memberP @t430 @t215)) % 231.14/231.40 (define @t687 () (tptp.memberP @t669 @t215)) % 231.14/231.40 (define @t688 () (and @t219 @t330 @t379 @t635 @t667 @t670 @t431 @t673 @t678 @t683)) % 231.14/231.40 (define @t689 () (@var "BOUND_VARIABLE_9326" $$unsorted)) % 231.14/231.40 (define @t690 () (= @t689 (tptp.hd (tptp.cons @t689 @t2)))) % 231.14/231.40 (define @t691 () (not (tptp.ssItem @t689))) % 231.14/231.40 (define @t692 () (or @t691 @t690)) % 231.14/231.40 (define @t693 () (or @t212 @t692)) % 231.14/231.40 (define @t694 () (forall (@list @t2 @t689) @t693)) % 231.14/231.40 (define @t695 () (@list @t689)) % 231.14/231.40 (define @t696 () (forall @t695 @t693)) % 231.14/231.40 (define @t697 () (forall @t695 @t692)) % 231.14/231.40 (define @t698 () (or @t212 @t697)) % 231.14/231.40 (define @t699 () (= @t1 @t73)) % 231.14/231.40 (define @t700 () (forall @t7 (or @t351 @t699))) % 231.14/231.40 (define @t701 () (tptp.hd @t376)) % 231.14/231.40 (define @t702 () (= @t215 @t701)) % 231.14/231.40 (define @t703 () (or @t382 @t222 @t702)) % 231.14/231.40 (define @t704 () (@var "BOUND_VARIABLE_9356" $$unsorted)) % 231.14/231.40 (define @t705 () (= @t2 (tptp.tl (tptp.cons @t704 @t2)))) % 231.14/231.40 (define @t706 () (not (tptp.ssItem @t704))) % 231.14/231.40 (define @t707 () (or @t706 @t705)) % 231.14/231.40 (define @t708 () (or @t212 @t707)) % 231.14/231.40 (define @t709 () (forall (@list @t2 @t704) @t708)) % 231.14/231.40 (define @t710 () (@list @t704)) % 231.14/231.40 (define @t711 () (forall @t710 @t708)) % 231.14/231.40 (define @t712 () (forall @t710 @t707)) % 231.14/231.40 (define @t713 () (or @t212 @t712)) % 231.14/231.40 (define @t714 () (= @t2 @t83)) % 231.14/231.40 (define @t715 () (forall @t7 (or @t351 @t714))) % 231.14/231.40 (define @t716 () (tptp.tl @t376)) % 231.14/231.40 (define @t717 () (= @t375 @t716)) % 231.14/231.40 (define @t718 () (or @t382 @t222 @t717)) % 231.14/231.40 (define @t719 () (tptp.app @t375 @t665)) % 231.14/231.40 (define @t720 () (tptp.memberP @t719 @t215)) % 231.14/231.40 (define @t721 () (not @t720)) % 231.14/231.40 (define @t722 () (not @t683)) % 231.14/231.40 (define @t723 () (not @t678)) % 231.14/231.40 (define @t724 () (not @t673)) % 231.14/231.40 (define @t725 () (not @t670)) % 231.14/231.40 (define @t726 () (not @t667)) % 231.14/231.40 (define @t727 () (not @t717)) % 231.14/231.40 (define @t728 () (not @t702)) % 231.14/231.40 (define @t729 () (not @t635)) % 231.14/231.40 (define @t730 () (not @t330)) % 231.14/231.40 (define @t731 () (and @t450 @t330 @t379 @t635 @t702 @t717 @t667 @t670 @t673 @t678 @t598 @t683)) % 231.14/231.40 (define @t732 () (@var "BOUND_VARIABLE_9664" $$unsorted)) % 231.14/231.40 (define @t733 () (@var "BOUND_VARIABLE_9662" $$unsorted)) % 231.14/231.40 (define @t734 () (= (tptp.memberP (tptp.app @t733 @t732) @t2) (or (tptp.memberP @t733 @t2) (tptp.memberP @t732 @t2)))) % 231.14/231.40 (define @t735 () (not (tptp.ssList @t732))) % 231.14/231.40 (define @t736 () (not (tptp.ssList @t733))) % 231.14/231.40 (define @t737 () (not @t8)) % 231.14/231.40 (define @t738 () (or @t736 @t735 @t734)) % 231.14/231.40 (define @t739 () (or @t737 @t738)) % 231.14/231.40 (define @t740 () (forall (@list @t2 @t733 @t732) @t739)) % 231.14/231.40 (define @t741 () (@list @t733 @t732)) % 231.14/231.40 (define @t742 () (forall @t741 @t739)) % 231.14/231.40 (define @t743 () (forall @t741 @t738)) % 231.14/231.40 (define @t744 () (@var "BOUND_VARIABLE_9643" $$unsorted)) % 231.14/231.40 (define @t745 () (or @t737 @t743)) % 231.14/231.40 (define @t746 () (= (tptp.memberP (tptp.app @t1 @t744) @t2) (or @t107 (tptp.memberP @t744 @t2)))) % 231.14/231.40 (define @t747 () (not (tptp.ssList @t744))) % 231.14/231.40 (define @t748 () (or @t256 @t747 @t746)) % 231.14/231.40 (define @t749 () (@list @t1 @t744)) % 231.14/231.40 (define @t750 () (forall @t749 @t748)) % 231.14/231.40 (define @t751 () (or @t747 @t746)) % 231.14/231.40 (define @t752 () (or @t256 @t751)) % 231.14/231.40 (define @t753 () (forall @t749 @t752)) % 231.14/231.40 (define @t754 () (@list @t744)) % 231.14/231.40 (define @t755 () (forall @t754 @t752)) % 231.14/231.40 (define @t756 () (forall @t754 @t751)) % 231.14/231.40 (define @t757 () (or @t256 @t756)) % 231.14/231.40 (define @t758 () (forall @t20 (or @t283 @t108))) % 231.14/231.40 (define @t759 () (tptp.memberP @t375 @t215)) % 231.14/231.40 (define @t760 () (tptp.memberP @t665 @t215)) % 231.14/231.40 (define @t761 () (or @t760 @t759)) % 231.14/231.40 (define @t762 () (= @t687 @t761)) % 231.14/231.40 (define @t763 () (or @t222 @t679 @t382 @t762)) % 231.14/231.40 (define @t764 () (or @t759 @t760)) % 231.14/231.40 (define @t765 () (= @t720 @t764)) % 231.14/231.40 (define @t766 () (or @t222 @t382 @t679 @t765)) % 231.14/231.40 (define @t767 () (@var "BOUND_VARIABLE_9710" $$unsorted)) % 231.14/231.40 (define @t768 () (@var "BOUND_VARIABLE_9708" $$unsorted)) % 231.14/231.40 (define @t769 () (= (tptp.memberP (tptp.cons @t768 @t767) @t2) (or (= @t2 @t768) (tptp.memberP @t767 @t2)))) % 231.14/231.40 (define @t770 () (not (tptp.ssList @t767))) % 231.14/231.40 (define @t771 () (not (tptp.ssItem @t768))) % 231.14/231.40 (define @t772 () (or @t771 @t770 @t769)) % 231.14/231.40 (define @t773 () (or @t737 @t772)) % 231.14/231.40 (define @t774 () (forall (@list @t2 @t768 @t767) @t773)) % 231.14/231.40 (define @t775 () (@list @t768 @t767)) % 231.14/231.40 (define @t776 () (forall @t775 @t773)) % 231.14/231.40 (define @t777 () (forall @t775 @t772)) % 231.14/231.40 (define @t778 () (@var "BOUND_VARIABLE_9689" $$unsorted)) % 231.14/231.40 (define @t779 () (or @t737 @t777)) % 231.14/231.40 (define @t780 () (= (tptp.memberP (tptp.cons @t1 @t778) @t2) (or @t3 (tptp.memberP @t778 @t2)))) % 231.14/231.40 (define @t781 () (not (tptp.ssList @t778))) % 231.14/231.40 (define @t782 () (or @t351 @t781 @t780)) % 231.14/231.40 (define @t783 () (@list @t1 @t778)) % 231.14/231.40 (define @t784 () (forall @t783 @t782)) % 231.14/231.40 (define @t785 () (or @t781 @t780)) % 231.14/231.40 (define @t786 () (or @t351 @t785)) % 231.14/231.40 (define @t787 () (forall @t783 @t786)) % 231.14/231.40 (define @t788 () (@list @t778)) % 231.14/231.40 (define @t789 () (forall @t788 @t786)) % 231.14/231.40 (define @t790 () (forall @t788 @t785)) % 231.14/231.40 (define @t791 () (or @t351 @t790)) % 231.14/231.40 (define @t792 () (forall @t20 (or @t283 @t114))) % 231.14/231.40 (define @t793 () (tptp.memberP @t438 @t215)) % 231.14/231.40 (define @t794 () (= @t215 @t439)) % 231.14/231.40 (define @t795 () (or @t794 @t793)) % 231.14/231.40 (define @t796 () (tptp.memberP @t440 @t215)) % 231.14/231.40 (define @t797 () (= @t796 @t795)) % 231.14/231.40 (define @t798 () (or @t222 @t505 @t520 @t797)) % 231.14/231.40 (define @t799 () (and @t219 @t441 @t379)) % 231.14/231.40 (define @t800 () (tptp.memberP @t503 @t215)) % 231.14/231.40 (define @t801 () (or @t793 @t800)) % 231.14/231.40 (define @t802 () (tptp.memberP @t588 @t215)) % 231.14/231.40 (define @t803 () (= @t802 @t801)) % 231.14/231.40 (define @t804 () (or @t222 @t520 @t590 @t803)) % 231.14/231.40 (define @t805 () (not @t802)) % 231.14/231.40 (define @t806 () (and @t450 @t598)) % 231.14/231.40 (define @t807 () (@list true false)) % 231.14/231.40 (define @t808 () (not @t801)) % 231.14/231.40 (define @t809 () (not @t793)) % 231.14/231.40 (define @t810 () (@list @t801)) % 231.14/231.40 (define @t811 () (or @t760 @t793)) % 231.14/231.40 (define @t812 () (tptp.memberP (tptp.app @t665 @t438) @t215)) % 231.14/231.40 (define @t813 () (= @t812 @t811)) % 231.14/231.40 (define @t814 () (or @t222 @t679 @t520 @t813)) % 231.14/231.40 (define @t815 () (not @t800)) % 231.14/231.40 (define @t816 () (not @t760)) % 231.14/231.40 (define @t817 () (not @t794)) % 231.14/231.40 (define @t818 () (and @t330 @t794 @t815)) % 231.14/231.40 (define @t819 () (not @t811)) % 231.14/231.40 (define @t820 () (not @t812)) % 231.14/231.40 (define @t821 () (not @t630)) % 231.14/231.40 (define @t822 () (and @t820 @t330 @t794 @t379 @t630 @t519 @t441 @t431 @t219)) % 231.14/231.40 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 231.14/231.40 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 231.14/231.40 (assume @p3 @t28) % 231.14/231.40 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 231.14/231.40 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 231.14/231.40 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 231.14/231.40 (assume @p7 @t45) % 231.14/231.40 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 (not (and @t47 @t46))))))))))))))))) % 231.14/231.40 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 (or @t47 @t46)))))))))))))))) % 231.14/231.40 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 (or @t56 (tptp.lt @t12 @t1))))))))))))))))) % 231.14/231.40 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 @t47))))))))))))))) % 231.14/231.40 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 @t56))))))))))))))) % 231.14/231.40 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (forall @t52 (=> @t51 (=> @t50 (not @t57)))))))))))))))) % 231.14/231.40 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t55 (forall @t16 (=> @t14 (forall @t54 (=> @t53 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t49))) @t2) @t57))))))))))))) % 231.14/231.40 (assume @p15 (forall @t9 (=> @t26 (forall @t7 (=> @t32 @t5))))) % 231.14/231.40 (assume @p16 @t62) % 231.14/231.40 (assume @p17 @t63) % 231.14/231.40 (assume @p18 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= @t58 @t2))))))) % 231.14/231.40 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t55 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t64))))))))))) % 231.14/231.40 (assume @p20 (forall @t9 (=> @t26 (or @t66 (exists @t7 (and @t32 (exists @t20 (and @t55 (= @t65 @t2))))))))) % 231.14/231.40 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t58))))))) % 231.14/231.40 (assume @p22 @t72) % 231.14/231.40 (assume @p23 @t77) % 231.14/231.40 (assume @p24 @t82) % 231.14/231.40 (assume @p25 @t87) % 231.14/231.40 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t88)))))) % 231.14/231.40 (assume @p27 @t95) % 231.14/231.40 (assume @p28 @t98) % 231.14/231.40 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t100 @t99) @t3)))))) % 231.14/231.40 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t55 (=> (and @t100 @t47) (tptp.leq @t2 @t12))))))))) % 231.14/231.40 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 231.14/231.40 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t101 @t99)))))) % 231.14/231.40 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t103 (not @t102))))))) % 231.14/231.40 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t55 (=> (and @t103 @t56) @t104)))))))) % 231.14/231.40 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t105 @t102)))))) % 231.14/231.40 (assume @p36 @t113) % 231.14/231.40 (assume @p37 @t119) % 231.14/231.40 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 231.14/231.40 (assume @p39 (not (tptp.singletonP tptp.nil))) % 231.14/231.40 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 231.14/231.40 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 231.14/231.40 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 231.14/231.40 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 231.14/231.40 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 231.14/231.40 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 231.14/231.40 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t66)))) % 231.14/231.40 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 231.14/231.40 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 231.14/231.40 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 231.14/231.40 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t120 @t1))))))))) % 231.14/231.40 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 231.14/231.40 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t66)))) % 231.14/231.40 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t40 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 231.14/231.40 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t40 (tptp.segmentP @t1 @t2)) @t3)))))) % 231.14/231.40 (assume @p55 @t122) % 231.14/231.40 (assume @p56 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (=> @t40 (tptp.segmentP (tptp.app @t120 @t10) @t1))))))))))) % 231.14/231.40 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 231.14/231.40 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t66)))) % 231.14/231.40 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t123)))) % 231.14/231.40 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 231.14/231.40 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t123)))) % 231.14/231.40 (assume @p62 (tptp.totalorderP tptp.nil)) % 231.14/231.40 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t123)))) % 231.14/231.40 (assume @p64 (tptp.strictorderP tptp.nil)) % 231.14/231.40 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t123)))) % 231.14/231.40 (assume @p66 (tptp.totalorderedP tptp.nil)) % 231.14/231.40 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t127) (or @t125 (and @t126 (tptp.totalorderedP @t1) (tptp.leq @t2 @t124))))))))) % 231.14/231.40 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t123)))) % 231.14/231.40 (assume @p69 (tptp.strictorderedP tptp.nil)) % 231.14/231.40 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t127) (or @t125 (and @t126 (tptp.strictorderedP @t1) (tptp.lt @t2 @t124))))))))) % 231.14/231.40 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t123)))) % 231.14/231.40 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 231.14/231.40 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t123)))) % 231.14/231.40 (assume @p74 (tptp.equalelemsP tptp.nil)) % 231.14/231.40 (assume @p75 (forall @t9 (=> @t26 (=> @t69 (exists @t7 (and @t6 (= @t67 @t1))))))) % 231.14/231.40 (assume @p76 (forall @t9 (=> @t26 (=> @t69 (exists @t7 (and @t32 (= @t78 @t1))))))) % 231.14/231.40 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t126 @t69 (= @t124 @t67) (= (tptp.tl @t1) @t78)) @t64)))))) % 231.14/231.40 (assume @p78 @t131) % 231.14/231.40 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t88) @t132)))))))) % 231.14/231.40 (assume @p80 @t140) % 231.14/231.40 (assume @p81 @t144) % 231.14/231.40 (assume @p82 @t150) % 231.14/231.40 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t88) (and @t125 @t66))))))) % 231.14/231.40 (assume @p84 @t153) % 231.14/231.40 (assume @p85 @t159) % 231.14/231.40 (assume @p86 @t165) % 231.14/231.40 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t101 (tptp.geq @t1 @t2)) @t3)))))) % 231.14/231.40 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t55 (=> (and @t101 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 231.14/231.40 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 231.14/231.40 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 231.14/231.40 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t55 (=> (and @t100 @t56) @t104)))))))) % 231.14/231.40 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t100 (or @t3 @t103))))))) % 231.14/231.40 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t103 (and @t4 @t100))))))) % 231.14/231.40 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t105 (not (tptp.gt @t1 @t2)))))))) % 231.14/231.40 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t55 (=> (and @t105 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 231.14/231.40 (assume @p96 @t196) % 231.14/231.40 (assume @p97 true) % 231.14/231.40 (step @p98 :rule refl :args (@t217)) % 231.14/231.40 (step @p99 :rule refl :args (@t220)) % 231.14/231.40 (step @p100 :rule refl :args (@t222)) % 231.14/231.40 (step @p101 :rule refl :args (@t223)) % 231.14/231.40 (step @p102 :rule eq-symm :args (@t216 tptp.nil)) % 231.14/231.40 (step @p103 :rule cong :premises (@p102) :args (@t224)) % 231.14/231.40 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t225)) % 231.14/231.40 (step @p105 :rule refl :args (@t226)) % 231.14/231.40 (step @p106 :rule eq-symm :args (@t216 @t206)) % 231.14/231.40 (step @p107 :rule refl :args (@t208)) % 231.14/231.40 (step @p108 :rule refl :args (@t209)) % 231.14/231.40 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105) :args (@t227)) % 231.14/231.40 (step @p110 :rule cong :premises (@p109) :args (@t228)) % 231.14/231.40 (step @p111 :rule cong :premises (@p110) :args (@t229)) % 231.14/231.40 (step @p112 :rule refl :args (@t231)) % 231.14/231.40 (step @p113 :rule refl :args (@t232)) % 231.14/231.40 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p104 @p100 @p99 @p98) :args (@t233)) % 231.14/231.40 (step @p115 :rule cong :premises (@p114) :args (@t234)) % 231.14/231.40 ; WARNING: add trust step for TRUST % 231.14/231.40 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 231.14/231.40 (step @p116 :rule trust :premises () :args ((= (not @t214) @t234))) % 231.14/231.40 (step @p117 :rule refl :args (@t198)) % 231.14/231.40 (step @p118 :rule refl :args (@t200)) % 231.14/231.40 (step @p119 :rule refl :args (@t201)) % 231.14/231.40 (step @p120 :rule eq-symm :args (@t199 tptp.nil)) % 231.14/231.40 (step @p121 :rule refl :args (@t203)) % 231.14/231.40 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t235)) % 231.14/231.40 (step @p123 :rule eq-symm :args (@t199 @t205)) % 231.14/231.40 (step @p124 :rule cong :premises (@p123) :args (@t236)) % 231.14/231.40 (step @p125 :rule refl :args (@t207)) % 231.14/231.40 (step @p126 :rule nary_cong :premises (@p108 @p107 @p125 @p124) :args (@t237)) % 231.14/231.40 (step @p127 :rule cong :premises (@p126) :args (@t238)) % 231.14/231.40 (step @p128 :rule cong :premises (@p127) :args (@t239)) % 231.14/231.40 (step @p129 :rule refl :args (@t211)) % 231.14/231.40 (step @p130 :rule refl :args (@t212)) % 231.14/231.40 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p122 @p119 @p118 @p117) :args (@t240)) % 231.14/231.40 (step @p132 :rule aci_norm :args ((= @t242 @t240))) % 231.14/231.40 (step @p133 :rule trans :premises (@p132 @p131)) % 231.14/231.40 (step @p134 :rule cong :premises (@p133) :args (@t243)) % 231.14/231.40 (step @p135 :rule quant-merge-prenex :args ((= (forall @t9 @t245) @t243))) % 231.14/231.40 (step @p136 :rule alpha_equiv :args (@t246 (@list @t199 @t197) (@list @t1 @t247))) % 231.14/231.40 (step @p137 :rule refl :args (@t212)) % 231.14/231.40 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t248)) % 231.14/231.40 (step @p139 :rule quant-miniscope-or :args ((= @t245 @t248))) % 231.14/231.40 (step @p140 :rule trans :premises (@p139 @p138)) % 231.14/231.40 (step @p141 :rule symm :premises (@p140)) % 231.14/231.40 (step @p142 :rule cong :premises (@p141) :args ((forall @t9 @t259))) % 231.14/231.40 (step @p143 :rule trans :premises (@p142 @p135)) % 231.14/231.40 (step @p144 :rule trans :premises (@p143 @p134)) % 231.14/231.40 (step @p145 :rule aci_norm :args ((= (or @t212 @t259) @t259))) % 231.14/231.40 (step @p146 :rule bool-impl-elim :args (@t26 @t259)) % 231.14/231.40 (step @p147 :rule trans :premises (@p146 @p145)) % 231.14/231.40 (step @p148 :rule cong :premises (@p147) :args ((forall @t9 (=> @t26 @t259)))) % 231.14/231.40 (step @p149 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(step @p1008 :rule cong :premises (@p1007) :args ((forall @t9 (=> @t26 @t656)))) % 231.14/231.41 (step @p1009 :rule trans :premises (@p1008 @p1006)) % 231.14/231.41 (step @p1010 :rule aci_norm :args ((= @t658 @t654))) % 231.14/231.41 (step @p1011 :rule cong :premises (@p1010) :args (@t659)) % 231.14/231.41 (step @p1012 :rule quant-merge-prenex :args ((= (forall @t7 @t661) @t659))) % 231.14/231.41 (step @p1013 :rule alpha_equiv :args (@t662 (@list @t650) @t549)) % 231.14/231.41 (step @p1014 :rule nary_cong :premises (@p156 @p1013) :args (@t663)) % 231.14/231.41 (step @p1015 :rule quant-miniscope-or :args ((= @t661 @t663))) % 231.14/231.41 (step @p1016 :rule trans :premises (@p1015 @p1014)) % 231.14/231.41 (step @p1017 :rule symm :premises (@p1016)) % 231.14/231.41 (step @p1018 :rule cong :premises (@p1017) :args ((forall @t7 (or @t256 @t664)))) % 231.14/231.41 (step @p1019 :rule trans :premises (@p1018 @p1012)) % 231.14/231.41 (step @p1020 :rule trans :premises (@p1019 @p1011)) % 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231.14/231.41 (step-pop @p1742 :rule scope :premises (@p1438)) % 231.14/231.41 (step-pop @p1743 :rule scope :premises (@p1742)) % 231.14/231.41 (step @p1439 :rule process_scope :premises (@p1743) :args (@t805)) % 231.14/231.41 (step @p1442 :rule implies_elim :premises (@p1439)) % 231.14/231.41 (step @p1443 :rule cnf_and_neg :args (@t806)) % 231.14/231.41 (step @p1444 :rule resolution :premises (@p1443 @p1442) :args (true @t806)) % 231.14/231.41 (step @p1445 :rule eq_resolve :premises (@p1444 @p1425)) % 231.14/231.41 (step @p1446 :rule chain_m_resolution :premises (@p1445 @p524 @p1197) :args (@t805 @t807 (@list @t217 @t598))) % 231.14/231.41 (step @p1447 :rule cnf_equiv_pos2 :args (@t803)) % 231.14/231.41 (step @p1448 :rule reordering :premises (@p1447) :args ((or @t802 @t808 (not @t803)))) % 231.14/231.41 (step @p1449 :rule chain_m_resolution :premises (@p1448 @p1446 @p1423) :args (@t808 @t807 (@list @t802 @t803))) % 231.14/231.41 (step @p1450 :rule cnf_or_neg :args (@t801 0)) % 231.14/231.41 (step @p1451 :rule reordering :premises (@p1450) :args ((or @t809 @t801))) % 231.14/231.41 (step @p1452 :rule chain_m_resolution :premises (@p1451 @p1449) :args (@t809 @t386 @t810)) % 231.14/231.41 (step @p1453 :rule cnf_or_pos :args (@t795)) % 231.14/231.41 (step @p1454 :rule reordering :premises (@p1453) :args ((or @t794 @t793 (not @t795)))) % 231.14/231.41 (step @p1455 :rule chain_m_resolution :premises (@p1454 @p1452 @p1418) :args (@t794 @t807 (@list @t793 @t795))) % 231.14/231.41 (step @p1456 :rule instantiate :premises (@p1328) :args ((@list @t215 @t665 @t438))) % 231.14/231.41 (step @p1457 :rule cnf_or_pos :args (@t814)) % 231.14/231.41 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t222 @t520 @t679 @t813 (not @t814)))) % 231.14/231.41 (step @p1459 :rule chain_m_resolution :premises (@p1458 @p396 @p929 @p1056 @p1456) :args (@t813 @t681 (@list @t221 @t462 @t675 @t814))) % 231.14/231.41 (step @p1460 :rule cnf_or_neg :args (@t801 1)) % 231.14/231.41 (step @p1461 :rule chain_m_resolution :premises (@p1460 @p1449) :args (@t815 @t386 @t810)) % 231.14/231.41 (step @p1462 :rule refl :args (@t816)) % 231.14/231.41 (step @p1463 :rule bool-double-not-elim :args (@t800)) % 231.14/231.41 (step @p1464 :rule refl :args (@t817)) % 231.14/231.41 (step @p1465 :rule nary_cong :premises (@p1209 @p1464 @p1463 @p1462) :args ((or @t730 @t817 (not @t815) @t816))) % 231.14/231.41 (assume-push @p1744 @t330) % 231.14/231.41 (assume-push @p1745 @t794) % 231.14/231.41 (assume-push @p1746 @t815) % 231.14/231.41 (assume-push @p1747 @t815) % 231.14/231.41 (assume-push @p1748 @t794) % 231.14/231.41 (assume-push @p1749 @t330) % 231.14/231.41 (step @p1472 :rule false_intro :premises (@p1746)) % 231.14/231.41 (step @p535 :rule refl :args (@t215)) % 231.14/231.41 (step @p1095 :rule symm :premises (@p335)) % 231.14/231.41 (step @p1473 :rule cong :premises (@p1745 @p1095) :args (@t666)) % 231.14/231.41 (step @p1096 :rule cong :premises (@p535 @p1095) :args (@t666)) % 231.14/231.41 (step @p1103 :rule symm :premises (@p1096)) % 231.14/231.41 (step @p1474 :rule trans :premises (@p1103 @p1473)) % 231.14/231.41 (step @p1475 :rule cong :premises (@p1474 @p535) :args (@t760)) % 231.14/231.41 (step @p1476 :rule trans :premises (@p1475 @p1472)) % 231.14/231.41 (step @p1477 :rule false_elim :premises (@p1476)) % 231.14/231.41 (step-pop @p1750 :rule scope :premises (@p1477)) % 231.14/231.41 (step-pop @p1751 :rule scope :premises (@p1750)) % 231.14/231.41 (step-pop @p1752 :rule scope :premises (@p1751)) % 231.14/231.41 (step @p1478 :rule process_scope :premises (@p1752) :args (@t816)) % 231.14/231.41 (step @p1482 :rule and_intro :premises (@p1746 @p1745 @p335)) % 231.14/231.41 (step @p1483 :rule modus_ponens :premises (@p1482 @p1478)) % 231.14/231.41 (step-pop @p1753 :rule scope :premises (@p1483)) % 231.14/231.41 (step-pop @p1754 :rule scope :premises (@p1753)) % 231.14/231.41 (step-pop @p1755 :rule scope :premises (@p1754)) % 231.14/231.41 (step @p1484 :rule process_scope :premises (@p1755) :args (@t816)) % 231.14/231.41 (step @p1488 :rule implies_elim :premises (@p1484)) % 231.14/231.41 (step @p1489 :rule cnf_and_neg :args (@t818)) % 231.14/231.41 (step @p1490 :rule resolution :premises (@p1489 @p1488) :args (true @t818)) % 231.14/231.41 (step @p1491 :rule eq_resolve :premises (@p1490 @p1465)) % 231.14/231.41 (step @p1492 :rule reordering :premises (@p1491) :args ((or @t730 @t817 @t816 @t800))) % 231.14/231.41 (step @p1493 :rule chain_m_resolution :premises (@p1492 @p335 @p1455 @p1461) :args (@t816 (@list false false true) (@list @t330 @t794 @t800))) % 231.14/231.41 (step @p1494 :rule cnf_or_pos :args (@t811)) % 231.14/231.41 (step @p1495 :rule reordering :premises (@p1494) :args ((or @t793 @t760 @t819))) % 231.14/231.41 (step @p1496 :rule chain_m_resolution :premises (@p1495 @p1452 @p1493) :args (@t819 (@list true true) (@list @t793 @t760))) % 231.14/231.41 (step @p1497 :rule cnf_equiv_pos1 :args (@t813)) % 231.14/231.41 (step @p1498 :rule reordering :premises (@p1497) :args ((or @t811 @t820 (not @t813)))) % 231.14/231.41 (step @p1499 :rule chain_m_resolution :premises (@p1498 @p1496 @p1459) :args (@t820 @t807 (@list @t811 @t813))) % 231.14/231.41 (step @p1500 :rule bool-double-not-elim :args (@t812)) % 231.14/231.41 (step @p1501 :rule refl :args (@t432)) % 231.14/231.41 (step @p1502 :rule refl :args (@t821)) % 231.14/231.41 (step @p1503 :rule refl :args (@t605)) % 231.14/231.41 (step @p1504 :rule refl :args (@t606)) % 231.14/231.41 (step @p1505 :rule nary_cong :premises (@p99 @p1209 @p1504 @p1208 @p1464 @p1503 @p1502 @p1501 @p1500) :args ((or @t220 @t730 @t606 @t380 @t817 @t605 @t821 @t432 (not @t820)))) % 231.14/231.41 (assume-push @p1756 @t820) % 231.14/231.41 (assume-push @p1757 @t330) % 231.14/231.41 (assume-push @p1758 @t794) % 231.14/231.41 (assume-push @p1759 @t379) % 231.14/231.41 (assume-push @p1760 @t630) % 231.14/231.41 (assume-push @p1761 @t519) % 231.14/231.41 (assume-push @p1762 @t441) % 231.14/231.41 (assume-push @p1763 @t431) % 231.14/231.41 (assume-push @p1764 @t219) % 231.14/231.41 (step @p533 :rule evaluate :args (@t452)) % 231.14/231.41 (step @p1515 :rule false_intro :premises (@p1756)) % 231.14/231.41 (step @p535 :rule refl :args (@t215)) % 231.14/231.41 (step @p890 :rule refl :args (@t438)) % 231.14/231.41 (step @p1095 :rule symm :premises (@p335)) % 231.14/231.41 (step @p1096 :rule cong :premises (@p535 @p1095) :args (@t666)) % 231.14/231.41 (step @p1516 :rule symm :premises (@p1758)) % 231.14/231.41 (step @p1517 :rule cong :premises (@p1516 @p335) :args (@t503)) % 231.14/231.41 (step @p1249 :rule refl :args (tptp.nil)) % 231.14/231.41 (step @p1084 :rule symm :premises (@p412)) % 231.14/231.41 (step @p1518 :rule cong :premises (@p1084) :args (@t628)) % 231.14/231.41 (step @p1519 :rule trans :premises (@p1760 @p1518)) % 231.14/231.41 (step @p1520 :rule cong :premises (@p1519 @p1249) :args ((tptp.cons @t629 tptp.nil))) % 231.14/231.41 (step @p1521 :rule trans :premises (@p1520 @p1517 @p1096)) % 231.14/231.41 (step @p1522 :rule symm :premises (@p1520)) % 231.14/231.41 (step @p1523 :rule trans :premises (@p1522 @p1521)) % 231.14/231.41 (step @p1524 :rule cong :premises (@p1523 @p890) :args (@t518)) % 231.14/231.41 (step @p1525 :rule trans :premises (@p1762 @p1761 @p1524)) % 231.14/231.41 (step @p1086 :rule symm :premises (@p492)) % 231.14/231.41 (step @p1526 :rule trans :premises (@p1086 @p1525)) % 231.14/231.41 (step @p1527 :rule cong :premises (@p1526 @p535) :args (@t686)) % 231.14/231.41 (step @p1528 :rule trans :premises (@p1084 @p492)) % 231.14/231.41 (step @p1529 :rule cong :premises (@p1528 @p535) :args (@t685)) % 231.14/231.41 (step @p1530 :rule cong :premises (@p412 @p535) :args (@t219)) % 231.14/231.41 (step @p539 :rule true_intro :premises (@p324)) % 231.14/231.41 (step @p540 :rule symm :premises (@p539)) % 231.14/231.41 (step @p1531 :rule trans :premises (@p540 @p1530 @p1529 @p1527 @p1515)) % 231.14/231.41 (step @p1532 false :rule eq_resolve :premises (@p1531 @p533)) % 231.14/231.41 (step-pop @p1765 :rule scope :premises (@p1532)) % 231.14/231.41 (step-pop @p1766 :rule scope :premises (@p1765)) % 231.14/231.41 (step-pop @p1767 :rule scope :premises (@p1766)) % 231.14/231.41 (step-pop @p1768 :rule scope :premises (@p1767)) % 231.14/231.41 (step-pop @p1769 :rule scope :premises (@p1768)) % 231.14/231.41 (step-pop @p1770 :rule scope :premises (@p1769)) % 231.14/231.41 (step-pop @p1771 :rule scope :premises (@p1770)) % 231.14/231.41 (step-pop @p1772 :rule scope :premises (@p1771)) % 231.14/231.41 (step-pop @p1773 :rule scope :premises (@p1772)) % 231.14/231.41 (step @p1533 :rule process_scope :premises (@p1773) :args (false)) % 231.14/231.41 (assume-push @p1774 @t219) % 231.14/231.41 (assume-push @p1775 @t330) % 231.14/231.41 (assume-push @p1776 @t441) % 231.14/231.41 (assume-push @p1777 @t379) % 231.14/231.41 (assume-push @p1778 @t794) % 231.14/231.41 (assume-push @p1779 @t519) % 231.14/231.41 (assume-push @p1780 @t630) % 231.14/231.41 (assume-push @p1781 @t431) % 231.14/231.41 (assume-push @p1782 @t820) % 231.14/231.41 (step @p1552 :rule and_intro :premises (@p1782 @p335 @p1778 @p412 @p1780 @p1779 @p1776 @p492 @p324)) % 231.14/231.41 (step-pop @p1783 :rule scope :premises (@p1552)) % 231.14/231.41 (step-pop @p1784 :rule scope :premises (@p1783)) % 231.14/231.41 (step-pop @p1785 :rule scope :premises (@p1784)) % 231.14/231.41 (step-pop @p1786 :rule scope :premises (@p1785)) % 231.14/231.41 (step-pop @p1787 :rule scope :premises (@p1786)) % 231.14/231.41 (step-pop @p1788 :rule scope :premises (@p1787)) % 231.14/231.41 (step-pop @p1789 :rule scope :premises (@p1788)) % 231.14/231.41 (step-pop @p1790 :rule scope :premises (@p1789)) % 231.14/231.41 (step-pop @p1791 :rule scope :premises (@p1790)) % 231.14/231.41 (step @p1553 :rule process_scope :premises (@p1791) :args (@t822)) % 231.14/231.41 (step @p1563 :rule implies_elim :premises (@p1553)) % 231.14/231.41 (step @p1564 :rule resolution :premises (@p1563 @p1533) :args (true @t822)) % 231.14/231.41 (step @p1565 :rule not_and :premises (@p1564)) % 231.14/231.41 (step @p1566 :rule eq_resolve :premises (@p1565 @p1505)) % 231.14/231.41 (step @p1567 false :rule chain_m_resolution :premises (@p1566 @p1499 @p1455 @p1348 @p931 @p928 @p492 @p412 @p335 @p324) :args (false (@list true false false false false false false false false) (@list @t812 @t794 @t630 @t519 @t441 @t431 @t379 @t330 @t219))) % 231.14/231.41 ) % 231.14/231.41 % SZS output end Proof % 231.14/231.41 % cvc5 exiting %------------------------------------------------------------------------------