%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC233+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 : n020.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 08:58:32 AM UTC 2026 % Result : Theorem 250.93s 251.16s % Output : Proof 250.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC233+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 19:29:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 250.93/251.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 250.93/251.16 --- Run --no-e-matching --full-saturate-quant at 6... % 250.93/251.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 250.93/251.16 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 250.93/251.16 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 250.93/251.16 --- Run --trigger-sel=max --full-saturate-quant at 15... % 250.93/251.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 250.93/251.16 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 250.93/251.16 --- Run --prenex-quant=none --full-saturate-quant at 30... % 250.93/251.16 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 250.93/251.16 --- Run --relevant-triggers --full-saturate-quant at 30... % 250.93/251.16 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 250.93/251.16 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 250.93/251.16 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 250.93/251.16 % SZS status Theorem % 250.93/251.16 % SZS output start Proof % 250.93/251.16 ( % 250.93/251.16 (declare-sort $$unsorted 0) % 250.93/251.16 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 250.93/251.16 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 250.93/251.16 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 250.93/251.16 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 250.93/251.16 (declare-const tptp.nil $$unsorted) % 250.93/251.16 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.ssList (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 250.93/251.16 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 250.93/251.16 (define @t1 () (@var "V" $$unsorted)) % 250.93/251.16 (define @t2 () (@var "U" $$unsorted)) % 250.93/251.16 (define @t3 () (= @t2 @t1)) % 250.93/251.16 (define @t4 () (not @t3)) % 250.93/251.16 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 250.93/251.16 (define @t6 () (tptp.ssItem @t1)) % 250.93/251.16 (define @t7 () (@list @t1)) % 250.93/251.16 (define @t8 () (tptp.ssItem @t2)) % 250.93/251.16 (define @t9 () (@list @t2)) % 250.93/251.16 (define @t10 () (@var "X" $$unsorted)) % 250.93/251.16 (define @t11 () (tptp.cons @t1 @t10)) % 250.93/251.16 (define @t12 () (@var "W" $$unsorted)) % 250.93/251.16 (define @t13 () (tptp.ssList @t10)) % 250.93/251.16 (define @t14 () (@list @t10)) % 250.93/251.16 (define @t15 () (tptp.ssList @t12)) % 250.93/251.16 (define @t16 () (@list @t12)) % 250.93/251.16 (define @t17 () (tptp.ssList @t2)) % 250.93/251.16 (define @t18 () (tptp.cons @t1 tptp.nil)) % 250.93/251.16 (define @t19 () (tptp.app @t1 @t12)) % 250.93/251.16 (define @t20 () (tptp.frontsegP @t2 @t1)) % 250.93/251.16 (define @t21 () (tptp.ssList @t1)) % 250.93/251.16 (define @t22 () (tptp.app @t12 @t1)) % 250.93/251.16 (define @t23 () (tptp.rearsegP @t2 @t1)) % 250.93/251.16 (define @t24 () (tptp.segmentP @t2 @t1)) % 250.93/251.16 (define @t25 () (tptp.leq @t12 @t1)) % 250.93/251.16 (define @t26 () (tptp.leq @t1 @t12)) % 250.93/251.16 (define @t27 () (@var "Z" $$unsorted)) % 250.93/251.16 (define @t28 () (@var "Y" $$unsorted)) % 250.93/251.16 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 250.93/251.16 (define @t30 () (tptp.ssList @t27)) % 250.93/251.16 (define @t31 () (@list @t27)) % 250.93/251.16 (define @t32 () (tptp.ssList @t28)) % 250.93/251.16 (define @t33 () (@list @t28)) % 250.93/251.16 (define @t34 () (tptp.ssItem @t12)) % 250.93/251.16 (define @t35 () (tptp.lt @t1 @t12)) % 250.93/251.16 (define @t36 () (= @t1 @t12)) % 250.93/251.16 (define @t37 () (tptp.cons @t1 @t2)) % 250.93/251.16 (define @t38 () (tptp.ssList @t37)) % 250.93/251.16 (define @t39 () (forall @t7 (=> @t6 @t38))) % 250.93/251.16 (define @t40 () (=> @t17 @t39)) % 250.93/251.16 (define @t41 () (forall @t9 @t40)) % 250.93/251.16 (define @t42 () (tptp.ssList tptp.nil)) % 250.93/251.16 (define @t43 () (= @t1 @t2)) % 250.93/251.16 (define @t44 () (tptp.cons @t12 @t1)) % 250.93/251.16 (define @t45 () (and @t34 (= @t44 @t2))) % 250.93/251.16 (define @t46 () (exists @t16 @t45)) % 250.93/251.16 (define @t47 () (and @t21 @t46)) % 250.93/251.16 (define @t48 () (exists @t7 @t47)) % 250.93/251.16 (define @t49 () (= tptp.nil @t2)) % 250.93/251.16 (define @t50 () (or @t49 @t48)) % 250.93/251.16 (define @t51 () (=> @t17 @t50)) % 250.93/251.16 (define @t52 () (forall @t9 @t51)) % 250.93/251.16 (define @t53 () (tptp.hd @t2)) % 250.93/251.16 (define @t54 () (tptp.ssItem @t53)) % 250.93/251.16 (define @t55 () (not @t49)) % 250.93/251.16 (define @t56 () (=> @t55 @t54)) % 250.93/251.16 (define @t57 () (=> @t17 @t56)) % 250.93/251.16 (define @t58 () (forall @t9 @t57)) % 250.93/251.16 (define @t59 () (tptp.tl @t2)) % 250.93/251.16 (define @t60 () (tptp.tl @t37)) % 250.93/251.16 (define @t61 () (=> @t6 (= @t60 @t2))) % 250.93/251.16 (define @t62 () (forall @t7 @t61)) % 250.93/251.16 (define @t63 () (=> @t17 @t62)) % 250.93/251.16 (define @t64 () (forall @t9 @t63)) % 250.93/251.16 (define @t65 () (tptp.app @t2 @t1)) % 250.93/251.16 (define @t66 () (tptp.app @t1 @t2)) % 250.93/251.16 (define @t67 () (tptp.app tptp.nil @t2)) % 250.93/251.16 (define @t68 () (=> @t17 (= @t67 @t2))) % 250.93/251.16 (define @t69 () (forall @t9 @t68)) % 250.93/251.16 (define @t70 () (tptp.leq @t1 @t2)) % 250.93/251.16 (define @t71 () (tptp.leq @t2 @t1)) % 250.93/251.16 (define @t72 () (tptp.geq @t2 @t1)) % 250.93/251.16 (define @t73 () (tptp.lt @t1 @t2)) % 250.93/251.16 (define @t74 () (tptp.lt @t2 @t1)) % 250.93/251.16 (define @t75 () (tptp.lt @t2 @t12)) % 250.93/251.16 (define @t76 () (tptp.gt @t2 @t1)) % 250.93/251.16 (define @t77 () (tptp.memberP @t12 @t2)) % 250.93/251.16 (define @t78 () (not (tptp.memberP tptp.nil @t2))) % 250.93/251.16 (define @t79 () (forall @t9 (=> @t8 @t78))) % 250.93/251.16 (define @t80 () (tptp.app @t12 @t2)) % 250.93/251.16 (define @t81 () (tptp.cons @t2 tptp.nil)) % 250.93/251.16 (define @t82 () (tptp.hd @t1)) % 250.93/251.16 (define @t83 () (= tptp.nil @t1)) % 250.93/251.16 (define @t84 () (not @t83)) % 250.93/251.16 (define @t85 () (tptp.cons @t2 @t1)) % 250.93/251.16 (define @t86 () (tptp.cons @t53 @t59)) % 250.93/251.16 (define @t87 () (=> @t55 (= @t86 @t2))) % 250.93/251.16 (define @t88 () (=> @t17 @t87)) % 250.93/251.16 (define @t89 () (forall @t9 @t88)) % 250.93/251.16 (define @t90 () (= @t12 @t2)) % 250.93/251.16 (define @t91 () (= @t37 (tptp.app @t18 @t2))) % 250.93/251.16 (define @t92 () (forall @t7 (=> @t6 @t91))) % 250.93/251.16 (define @t93 () (=> @t17 @t92)) % 250.93/251.16 (define @t94 () (forall @t9 @t93)) % 250.93/251.16 (define @t95 () (@var "X6" $$unsorted)) % 250.93/251.16 (define @t96 () (@var "X4" $$unsorted)) % 250.93/251.16 (define @t97 () (tptp.memberP @t96 @t95)) % 250.93/251.16 (define @t98 () (@var "X3" $$unsorted)) % 250.93/251.16 (define @t99 () (tptp.lt @t95 @t98)) % 250.93/251.16 (define @t100 () (not @t99)) % 250.93/251.16 (define @t101 () (and @t100 @t97)) % 250.93/251.16 (define @t102 () (@var "X5" $$unsorted)) % 250.93/251.16 (define @t103 () (tptp.memberP @t102 @t95)) % 250.93/251.16 (define @t104 () (tptp.lt @t98 @t95)) % 250.93/251.16 (define @t105 () (not @t104)) % 250.93/251.16 (define @t106 () (and @t105 @t103)) % 250.93/251.16 (define @t107 () (or @t106 @t101)) % 250.93/251.16 (define @t108 () (tptp.ssItem @t95)) % 250.93/251.16 (define @t109 () (and @t108 @t107)) % 250.93/251.16 (define @t110 () (@list @t95)) % 250.93/251.16 (define @t111 () (exists @t110 @t109)) % 250.93/251.16 (define @t112 () (tptp.cons @t98 tptp.nil)) % 250.93/251.16 (define @t113 () (tptp.app @t96 @t112)) % 250.93/251.16 (define @t114 () (tptp.app @t113 @t102)) % 250.93/251.16 (define @t115 () (tptp.ssList @t102)) % 250.93/251.16 (define @t116 () (and @t115 (= @t114 @t12) @t111)) % 250.93/251.16 (define @t117 () (@list @t102)) % 250.93/251.16 (define @t118 () (exists @t117 @t116)) % 250.93/251.16 (define @t119 () (tptp.ssList @t96)) % 250.93/251.16 (define @t120 () (and @t119 @t118)) % 250.93/251.16 (define @t121 () (@list @t96)) % 250.93/251.16 (define @t122 () (exists @t121 @t120)) % 250.93/251.16 (define @t123 () (tptp.ssItem @t98)) % 250.93/251.16 (define @t124 () (and @t123 @t122)) % 250.93/251.16 (define @t125 () (@list @t98)) % 250.93/251.16 (define @t126 () (exists @t125 @t124)) % 250.93/251.16 (define @t127 () (@var "X2" $$unsorted)) % 250.93/251.16 (define @t128 () (tptp.lt @t28 @t127)) % 250.93/251.16 (define @t129 () (not (tptp.leq @t28 @t127))) % 250.93/251.16 (define @t130 () (@var "X1" $$unsorted)) % 250.93/251.16 (define @t131 () (not (tptp.memberP @t130 @t127))) % 250.93/251.16 (define @t132 () (not (tptp.memberP @t27 @t127))) % 250.93/251.16 (define @t133 () (or @t132 @t131 @t129 @t128)) % 250.93/251.16 (define @t134 () (tptp.ssItem @t127)) % 250.93/251.16 (define @t135 () (@list @t127)) % 250.93/251.16 (define @t136 () (forall @t135 (=> @t134 @t133))) % 250.93/251.16 (define @t137 () (tptp.cons @t28 tptp.nil)) % 250.93/251.16 (define @t138 () (tptp.app @t27 @t137)) % 250.93/251.16 (define @t139 () (tptp.app @t138 @t130)) % 250.93/251.16 (define @t140 () (tptp.ssList @t130)) % 250.93/251.16 (define @t141 () (and @t140 (= @t139 @t2) @t136)) % 250.93/251.16 (define @t142 () (@list @t130)) % 250.93/251.16 (define @t143 () (exists @t142 @t141)) % 250.93/251.16 (define @t144 () (and @t30 @t143)) % 250.93/251.16 (define @t145 () (exists @t31 @t144)) % 250.93/251.16 (define @t146 () (tptp.ssItem @t28)) % 250.93/251.16 (define @t147 () (and @t146 @t145)) % 250.93/251.16 (define @t148 () (exists @t33 @t147)) % 250.93/251.16 (define @t149 () (not (= @t2 @t12))) % 250.93/251.16 (define @t150 () (not (= @t1 @t10))) % 250.93/251.16 (define @t151 () (or @t150 @t149 @t49 @t148 @t126)) % 250.93/251.16 (define @t152 () (=> @t13 @t151)) % 250.93/251.16 (define @t153 () (forall @t14 @t152)) % 250.93/251.16 (define @t154 () (=> @t15 @t153)) % 250.93/251.16 (define @t155 () (forall @t16 @t154)) % 250.93/251.16 (define @t156 () (=> @t21 @t155)) % 250.93/251.16 (define @t157 () (forall @t7 @t156)) % 250.93/251.16 (define @t158 () (=> @t17 @t157)) % 250.93/251.16 (define @t159 () (forall @t9 @t158)) % 250.93/251.16 (define @t160 () (not @t159)) % 250.93/251.16 (define @t161 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 250.93/251.16 (define @t162 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 250.93/251.16 (define @t163 () (@var "BOUND_VARIABLE_11135" $$unsorted)) % 250.93/251.16 (define @t164 () (and (or (tptp.lt @t98 @t161) (not (tptp.memberP @t163 @t161))) (or (tptp.lt @t161 @t98) (not (tptp.memberP @t162 @t161))))) % 250.93/251.16 (define @t165 () (not (tptp.ssItem @t161))) % 250.93/251.16 (define @t166 () (tptp.app (tptp.app @t162 @t112) @t163)) % 250.93/251.16 (define @t167 () (not (tptp.ssList @t163))) % 250.93/251.16 (define @t168 () (not (tptp.ssList @t162))) % 250.93/251.16 (define @t169 () (not @t123)) % 250.93/251.16 (define @t170 () (@list @t98 @t162 @t163 @t161)) % 250.93/251.16 (define @t171 () (not (forall @t170 (or @t169 @t168 @t167 (not (= @t2 @t166)) @t165 @t164)))) % 250.93/251.16 (define @t172 () (@var "BOUND_VARIABLE_11021" $$unsorted)) % 250.93/251.16 (define @t173 () (@var "BOUND_VARIABLE_11019" $$unsorted)) % 250.93/251.16 (define @t174 () (not @t134)) % 250.93/251.16 (define @t175 () (not (forall @t135 (or @t174 (not (tptp.memberP @t173 @t127)) (not (tptp.memberP @t172 @t127)) @t129 @t128)))) % 250.93/251.16 (define @t176 () (tptp.app (tptp.app @t173 @t137) @t172)) % 250.93/251.16 (define @t177 () (not (= @t2 @t176))) % 250.93/251.16 (define @t178 () (not (tptp.ssList @t172))) % 250.93/251.16 (define @t179 () (not (tptp.ssList @t173))) % 250.93/251.16 (define @t180 () (not @t146)) % 250.93/251.16 (define @t181 () (or @t180 @t179 @t178 @t177 @t175)) % 250.93/251.16 (define @t182 () (@list @t28 @t173 @t172)) % 250.93/251.16 (define @t183 () (not (forall @t182 @t181))) % 250.93/251.16 (define @t184 () (= @t2 tptp.nil)) % 250.93/251.16 (define @t185 () (not @t17)) % 250.93/251.16 (define @t186 () (or @t185 @t184 @t183 @t171)) % 250.93/251.16 (define @t187 () (forall @t9 @t186)) % 250.93/251.16 (define @t188 () (not @t21)) % 250.93/251.16 (define @t189 () (forall @t7 @t188)) % 250.93/251.16 (define @t190 () (or @t189 @t186)) % 250.93/251.16 (define @t191 () (or @t185 @t184 @t183 @t171 @t189)) % 250.93/251.16 (define @t192 () (or @t184 @t183 @t185 @t171 @t189)) % 250.93/251.16 (define @t193 () (or @t184 @t183 @t185 @t171 @t188)) % 250.93/251.16 (define @t194 () (or @t188 @t184 @t183 @t185 @t171)) % 250.93/251.16 (define @t195 () (or @t184 @t183 @t188 @t185 @t171)) % 250.93/251.16 (define @t196 () (or @t185 @t171)) % 250.93/251.16 (define @t197 () (not (= @t2 @t2))) % 250.93/251.16 (define @t198 () (or @t185 @t197 @t171)) % 250.93/251.16 (define @t199 () (not (= @t12 @t166))) % 250.93/251.16 (define @t200 () (or @t169 @t168 @t167 @t199 @t165 @t164)) % 250.93/251.16 (define @t201 () (not (forall @t170 @t200))) % 250.93/251.16 (define @t202 () (not @t15)) % 250.93/251.16 (define @t203 () (or @t149 @t202 @t149 @t201)) % 250.93/251.16 (define @t204 () (or @t202 @t149 @t201)) % 250.93/251.16 (define @t205 () (forall @t16 @t204)) % 250.93/251.16 (define @t206 () (or @t184 @t183 @t188 @t205)) % 250.93/251.16 (define @t207 () (or @t184 @t183 @t188 @t204)) % 250.93/251.16 (define @t208 () (or @t202 @t149 @t184 @t183 @t201 @t188)) % 250.93/251.16 (define @t209 () (or @t149 @t184 @t183 @t201 @t188)) % 250.93/251.16 (define @t210 () (not (= @t1 @t1))) % 250.93/251.16 (define @t211 () (or @t188 @t210)) % 250.93/251.16 (define @t212 () (not @t13)) % 250.93/251.16 (define @t213 () (or @t150 @t212 @t150)) % 250.93/251.16 (define @t214 () (or @t212 @t150)) % 250.93/251.16 (define @t215 () (forall @t14 @t214)) % 250.93/251.16 (define @t216 () (or @t149 @t184 @t183 @t201 @t215)) % 250.93/251.16 (define @t217 () (or @t149 @t184 @t183 @t201 @t214)) % 250.93/251.16 (define @t218 () (or @t212 @t150 @t149 @t184 @t183 @t201)) % 250.93/251.16 (define @t219 () (or @t150 @t149 @t184 @t183 @t201)) % 250.93/251.16 (define @t220 () (or @t168 @t167 @t199 @t165 @t164)) % 250.93/251.16 (define @t221 () (or @t169 @t220)) % 250.93/251.16 (define @t222 () (forall @t170 @t221)) % 250.93/251.16 (define @t223 () (@list @t162 @t163 @t161)) % 250.93/251.16 (define @t224 () (forall @t223 @t221)) % 250.93/251.16 (define @t225 () (forall @t223 @t220)) % 250.93/251.16 (define @t226 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 250.93/251.16 (define @t227 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 250.93/251.16 (define @t228 () (or @t169 @t225)) % 250.93/251.16 (define @t229 () (and (or (tptp.lt @t98 @t226) (not (tptp.memberP @t227 @t226))) (or (tptp.lt @t226 @t98) (not (tptp.memberP @t96 @t226))))) % 250.93/251.16 (define @t230 () (not (tptp.ssItem @t226))) % 250.93/251.16 (define @t231 () (not (= @t12 (tptp.app @t113 @t227)))) % 250.93/251.16 (define @t232 () (not (tptp.ssList @t227))) % 250.93/251.16 (define @t233 () (not @t119)) % 250.93/251.16 (define @t234 () (or @t233 @t232 @t231 @t230 @t229)) % 250.93/251.16 (define @t235 () (@list @t96 @t227 @t226)) % 250.93/251.16 (define @t236 () (forall @t235 @t234)) % 250.93/251.16 (define @t237 () (not @t236)) % 250.93/251.16 (define @t238 () (and @t123 @t237)) % 250.93/251.16 (define @t239 () (forall @t125 (not @t238))) % 250.93/251.16 (define @t240 () (not @t239)) % 250.93/251.16 (define @t241 () (or @t232 @t231 @t230 @t229)) % 250.93/251.16 (define @t242 () (or @t233 @t241)) % 250.93/251.16 (define @t243 () (forall @t235 @t242)) % 250.93/251.16 (define @t244 () (@list @t227 @t226)) % 250.93/251.16 (define @t245 () (forall @t244 @t242)) % 250.93/251.16 (define @t246 () (forall @t244 @t241)) % 250.93/251.16 (define @t247 () (@var "BOUND_VARIABLE_11070" $$unsorted)) % 250.93/251.16 (define @t248 () (or @t233 @t246)) % 250.93/251.16 (define @t249 () (and (or (tptp.lt @t98 @t247) (not (tptp.memberP @t102 @t247))) (or (tptp.lt @t247 @t98) (not (tptp.memberP @t96 @t247))))) % 250.93/251.16 (define @t250 () (not (tptp.ssItem @t247))) % 250.93/251.16 (define @t251 () (= @t12 @t114)) % 250.93/251.16 (define @t252 () (not @t251)) % 250.93/251.16 (define @t253 () (not @t115)) % 250.93/251.16 (define @t254 () (or @t253 @t252 @t250 @t249)) % 250.93/251.16 (define @t255 () (@list @t102 @t247)) % 250.93/251.16 (define @t256 () (forall @t255 @t254)) % 250.93/251.16 (define @t257 () (not @t256)) % 250.93/251.16 (define @t258 () (and @t119 @t257)) % 250.93/251.16 (define @t259 () (forall @t121 (not @t258))) % 250.93/251.16 (define @t260 () (not @t259)) % 250.93/251.16 (define @t261 () (or @t250 @t249)) % 250.93/251.16 (define @t262 () (or @t253 @t252 @t261)) % 250.93/251.16 (define @t263 () (forall @t255 @t262)) % 250.93/251.16 (define @t264 () (@list @t247)) % 250.93/251.16 (define @t265 () (forall @t264 @t262)) % 250.93/251.16 (define @t266 () (forall @t264 @t261)) % 250.93/251.16 (define @t267 () (or @t253 @t252 @t266)) % 250.93/251.16 (define @t268 () (not @t97)) % 250.93/251.16 (define @t269 () (not @t103)) % 250.93/251.16 (define @t270 () (not @t108)) % 250.93/251.16 (define @t271 () (forall @t110 (or @t270 (and (or @t104 @t269) (or @t99 @t268))))) % 250.93/251.16 (define @t272 () (not @t271)) % 250.93/251.16 (define @t273 () (not @t272)) % 250.93/251.16 (define @t274 () (or @t253 @t252 @t273)) % 250.93/251.16 (define @t275 () (and @t115 @t251 @t272)) % 250.93/251.16 (define @t276 () (forall @t117 (not @t275))) % 250.93/251.16 (define @t277 () (not @t276)) % 250.93/251.16 (define @t278 () (forall @t110 (not @t109))) % 250.93/251.16 (define @t279 () (not @t278)) % 250.93/251.16 (define @t280 () (or @t179 @t178 @t177 @t175)) % 250.93/251.16 (define @t281 () (or @t180 @t280)) % 250.93/251.16 (define @t282 () (forall @t182 @t281)) % 250.93/251.16 (define @t283 () (@list @t173 @t172)) % 250.93/251.16 (define @t284 () (forall @t283 @t281)) % 250.93/251.16 (define @t285 () (forall @t283 @t280)) % 250.93/251.16 (define @t286 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 250.93/251.16 (define @t287 () (or @t180 @t285)) % 250.93/251.16 (define @t288 () (not (forall @t135 (or @t174 @t132 (not (tptp.memberP @t286 @t127)) @t129 @t128)))) % 250.93/251.16 (define @t289 () (not (= @t2 (tptp.app @t138 @t286)))) % 250.93/251.16 (define @t290 () (not (tptp.ssList @t286))) % 250.93/251.16 (define @t291 () (not @t30)) % 250.93/251.16 (define @t292 () (or @t291 @t290 @t289 @t288)) % 250.93/251.16 (define @t293 () (@list @t27 @t286)) % 250.93/251.16 (define @t294 () (forall @t293 @t292)) % 250.93/251.16 (define @t295 () (not @t294)) % 250.93/251.16 (define @t296 () (and @t146 @t295)) % 250.93/251.16 (define @t297 () (forall @t33 (not @t296))) % 250.93/251.16 (define @t298 () (not @t297)) % 250.93/251.16 (define @t299 () (or @t290 @t289 @t288)) % 250.93/251.16 (define @t300 () (or @t291 @t299)) % 250.93/251.16 (define @t301 () (forall @t293 @t300)) % 250.93/251.16 (define @t302 () (@list @t286)) % 250.93/251.16 (define @t303 () (forall @t302 @t300)) % 250.93/251.16 (define @t304 () (forall @t302 @t299)) % 250.93/251.16 (define @t305 () (or @t291 @t304)) % 250.93/251.16 (define @t306 () (or @t174 @t132 @t131 @t129 @t128)) % 250.93/251.16 (define @t307 () (forall @t135 @t306)) % 250.93/251.16 (define @t308 () (not @t307)) % 250.93/251.16 (define @t309 () (= @t2 @t139)) % 250.93/251.16 (define @t310 () (not @t309)) % 250.93/251.16 (define @t311 () (not @t140)) % 250.93/251.16 (define @t312 () (or @t311 @t310 @t308)) % 250.93/251.16 (define @t313 () (forall @t142 @t312)) % 250.93/251.16 (define @t314 () (not @t313)) % 250.93/251.16 (define @t315 () (and @t30 @t314)) % 250.93/251.16 (define @t316 () (forall @t31 (not @t315))) % 250.93/251.16 (define @t317 () (not @t316)) % 250.93/251.16 (define @t318 () (and @t140 @t309 @t307)) % 250.93/251.16 (define @t319 () (forall @t142 (not @t318))) % 250.93/251.16 (define @t320 () (not @t319)) % 250.93/251.16 (define @t321 () (@quantifiers_skolemize @t187 0)) % 250.93/251.16 (define @t322 () (forall @t182 (or @t180 @t179 @t178 (not (= @t176 @t321)) @t175))) % 250.93/251.16 (define @t323 () (not @t322)) % 250.93/251.16 (define @t324 () (= tptp.nil @t321)) % 250.93/251.16 (define @t325 () (tptp.ssList @t321)) % 250.93/251.16 (define @t326 () (not @t325)) % 250.93/251.16 (define @t327 () (or @t326 @t324 @t323 (not (forall @t170 (or @t169 @t168 @t167 (not (= @t166 @t321)) @t165 @t164))))) % 250.93/251.16 (define @t328 () (not @t327)) % 250.93/251.16 (define @t329 () (not @t187)) % 250.93/251.16 (define @t330 () (not (= @t321 @t166))) % 250.93/251.16 (define @t331 () (or @t169 @t168 @t167 @t330 @t165 @t164)) % 250.93/251.16 (define @t332 () (forall @t170 @t331)) % 250.93/251.16 (define @t333 () (not @t332)) % 250.93/251.16 (define @t334 () (not (= @t321 @t176))) % 250.93/251.16 (define @t335 () (or @t180 @t179 @t178 @t334 @t175)) % 250.93/251.16 (define @t336 () (forall @t182 @t335)) % 250.93/251.16 (define @t337 () (not @t336)) % 250.93/251.16 (define @t338 () (= @t321 tptp.nil)) % 250.93/251.16 (define @t339 () (or @t326 @t338 @t337 @t333)) % 250.93/251.16 (define @t340 () (not @t339)) % 250.93/251.16 (define @t341 () (@list true)) % 250.93/251.16 (define @t342 () (@list @t327)) % 250.93/251.16 (define @t343 () (tptp.hd @t321)) % 250.93/251.16 (define @t344 () (tptp.tl @t321)) % 250.93/251.16 (define @t345 () (forall @t135 (or @t174 (not (tptp.memberP tptp.nil @t127)) (not (tptp.memberP @t344 @t127)) (not (tptp.leq @t343 @t127)) (tptp.lt @t343 @t127)))) % 250.93/251.16 (define @t346 () (not @t345)) % 250.93/251.16 (define @t347 () (tptp.cons @t343 tptp.nil)) % 250.93/251.16 (define @t348 () (tptp.app tptp.nil @t347)) % 250.93/251.16 (define @t349 () (tptp.app @t348 @t344)) % 250.93/251.16 (define @t350 () (not (= @t349 @t321))) % 250.93/251.16 (define @t351 () (tptp.ssList @t344)) % 250.93/251.16 (define @t352 () (not @t351)) % 250.93/251.16 (define @t353 () (not @t42)) % 250.93/251.16 (define @t354 () (tptp.ssItem @t343)) % 250.93/251.16 (define @t355 () (not @t354)) % 250.93/251.16 (define @t356 () (or @t355 @t353 @t352 @t350 @t346)) % 250.93/251.16 (define @t357 () (= @t321 @t349)) % 250.93/251.16 (define @t358 () (not @t357)) % 250.93/251.16 (define @t359 () (or @t355 @t353 @t352 @t358 @t346)) % 250.93/251.16 (define @t360 () (@list false)) % 250.93/251.16 (define @t361 () (= @t2 @t67)) % 250.93/251.16 (define @t362 () (@var "BOUND_VARIABLE_9168" $$unsorted)) % 250.93/251.16 (define @t363 () (tptp.ssList (tptp.cons @t362 @t2))) % 250.93/251.16 (define @t364 () (not (tptp.ssItem @t362))) % 250.93/251.16 (define @t365 () (or @t364 @t363)) % 250.93/251.16 (define @t366 () (or @t185 @t365)) % 250.93/251.16 (define @t367 () (forall (@list @t2 @t362) @t366)) % 250.93/251.16 (define @t368 () (@list @t362)) % 250.93/251.16 (define @t369 () (forall @t368 @t366)) % 250.93/251.16 (define @t370 () (forall @t368 @t365)) % 250.93/251.16 (define @t371 () (@list @t1)) % 250.93/251.16 (define @t372 () (or @t185 @t370)) % 250.93/251.16 (define @t373 () (not @t6)) % 250.93/251.16 (define @t374 () (forall @t7 (or @t373 @t38))) % 250.93/251.16 (define @t375 () (or @t185 @t184 @t54)) % 250.93/251.16 (define @t376 () (not @t184)) % 250.93/251.16 (define @t377 () (not @t376)) % 250.93/251.16 (define @t378 () (=> @t376 @t54)) % 250.93/251.16 (define @t379 () (or @t326 @t338 @t354)) % 250.93/251.16 (define @t380 () (forall @t9 @t375)) % 250.93/251.16 (define @t381 () (@list @t321)) % 250.93/251.16 (define @t382 () (or @t326 @t324 @t354)) % 250.93/251.16 (define @t383 () (@list false true false)) % 250.93/251.16 (define @t384 () (tptp.ssList @t347)) % 250.93/251.16 (define @t385 () (or @t353 @t355 @t384)) % 250.93/251.16 (define @t386 () (@list false false false)) % 250.93/251.16 (define @t387 () (= @t347 @t348)) % 250.93/251.16 (define @t388 () (not @t384)) % 250.93/251.16 (define @t389 () (or @t388 @t387)) % 250.93/251.16 (define @t390 () (@list false false)) % 250.93/251.16 (define @t391 () (tptp.app @t347 @t344)) % 250.93/251.16 (define @t392 () (@var "BOUND_VARIABLE_10571" $$unsorted)) % 250.93/251.16 (define @t393 () (= (tptp.cons @t392 @t2) (tptp.app (tptp.cons @t392 tptp.nil) @t2))) % 250.93/251.16 (define @t394 () (not (tptp.ssItem @t392))) % 250.93/251.16 (define @t395 () (or @t394 @t393)) % 250.93/251.16 (define @t396 () (or @t185 @t395)) % 250.93/251.16 (define @t397 () (forall (@list @t2 @t392) @t396)) % 250.93/251.16 (define @t398 () (@list @t392)) % 250.93/251.16 (define @t399 () (forall @t398 @t396)) % 250.93/251.16 (define @t400 () (forall @t398 @t395)) % 250.93/251.16 (define @t401 () (or @t185 @t400)) % 250.93/251.16 (define @t402 () (forall @t7 (or @t373 @t91))) % 250.93/251.16 (define @t403 () (@var "BOUND_VARIABLE_9305" $$unsorted)) % 250.93/251.16 (define @t404 () (tptp.cons @t403 @t1)) % 250.93/251.16 (define @t405 () (not (= @t2 @t404))) % 250.93/251.16 (define @t406 () (not (tptp.ssItem @t403))) % 250.93/251.16 (define @t407 () (or @t188 @t406 @t405)) % 250.93/251.16 (define @t408 () (@list @t1 @t403)) % 250.93/251.16 (define @t409 () (not (forall @t408 @t407))) % 250.93/251.16 (define @t410 () (or @t185 @t184 @t409)) % 250.93/251.16 (define @t411 () (or @t184 @t409)) % 250.93/251.16 (define @t412 () (or @t406 @t405)) % 250.93/251.16 (define @t413 () (or @t188 @t412)) % 250.93/251.16 (define @t414 () (forall @t408 @t413)) % 250.93/251.16 (define @t415 () (@list @t403)) % 250.93/251.16 (define @t416 () (forall @t415 @t413)) % 250.93/251.16 (define @t417 () (forall @t415 @t412)) % 250.93/251.16 (define @t418 () (or @t188 @t417)) % 250.93/251.16 (define @t419 () (= @t2 @t44)) % 250.93/251.16 (define @t420 () (forall @t16 (or (not @t34) (not @t419)))) % 250.93/251.16 (define @t421 () (not @t420)) % 250.93/251.16 (define @t422 () (and @t21 @t421)) % 250.93/251.16 (define @t423 () (forall @t7 (not @t422))) % 250.93/251.16 (define @t424 () (not @t423)) % 250.93/251.16 (define @t425 () (and @t34 @t419)) % 250.93/251.16 (define @t426 () (forall @t16 (not @t425))) % 250.93/251.16 (define @t427 () (not @t426)) % 250.93/251.16 (define @t428 () (not (= @t321 @t404))) % 250.93/251.16 (define @t429 () (or @t188 @t406 @t428)) % 250.93/251.16 (define @t430 () (forall @t408 @t429)) % 250.93/251.16 (define @t431 () (not @t430)) % 250.93/251.16 (define @t432 () (or @t326 @t338 @t431)) % 250.93/251.16 (define @t433 () (forall @t9 @t410)) % 250.93/251.16 (define @t434 () (forall @t408 (or @t188 @t406 (not (= @t404 @t321))))) % 250.93/251.16 (define @t435 () (not @t434)) % 250.93/251.16 (define @t436 () (or @t326 @t324 @t435)) % 250.93/251.16 (define @t437 () (@quantifiers_skolemize @t434 0)) % 250.93/251.16 (define @t438 () (@quantifiers_skolemize @t434 1)) % 250.93/251.16 (define @t439 () (tptp.cons @t438 @t437)) % 250.93/251.16 (define @t440 () (= @t321 @t439)) % 250.93/251.16 (define @t441 () (not @t440)) % 250.93/251.16 (define @t442 () (tptp.ssItem @t438)) % 250.93/251.16 (define @t443 () (not @t442)) % 250.93/251.16 (define @t444 () (tptp.ssList @t437)) % 250.93/251.16 (define @t445 () (not @t444)) % 250.93/251.16 (define @t446 () (or @t445 @t443 @t441)) % 250.93/251.16 (define @t447 () (not @t446)) % 250.93/251.16 (define @t448 () (not (= @t439 @t321))) % 250.93/251.16 (define @t449 () (or @t445 @t443 @t448)) % 250.93/251.16 (define @t450 () (not @t449)) % 250.93/251.16 (define @t451 () (@list @t446)) % 250.93/251.16 (define @t452 () (@var "BOUND_VARIABLE_9392" $$unsorted)) % 250.93/251.16 (define @t453 () (= @t2 (tptp.tl (tptp.cons @t452 @t2)))) % 250.93/251.16 (define @t454 () (not (tptp.ssItem @t452))) % 250.93/251.16 (define @t455 () (or @t454 @t453)) % 250.93/251.16 (define @t456 () (or @t185 @t455)) % 250.93/251.16 (define @t457 () (forall (@list @t2 @t452) @t456)) % 250.93/251.16 (define @t458 () (@list @t452)) % 250.93/251.16 (define @t459 () (forall @t458 @t456)) % 250.93/251.16 (define @t460 () (forall @t458 @t455)) % 250.93/251.16 (define @t461 () (or @t185 @t460)) % 250.93/251.16 (define @t462 () (= @t2 @t60)) % 250.93/251.16 (define @t463 () (forall @t7 (or @t373 @t462))) % 250.93/251.16 (define @t464 () (= @t437 (tptp.tl @t439))) % 250.93/251.16 (define @t465 () (or @t445 @t443 @t464)) % 250.93/251.16 (define @t466 () (tptp.cons @t343 @t344)) % 250.93/251.16 (define @t467 () (= @t466 @t391)) % 250.93/251.16 (define @t468 () (or @t352 @t355 @t467)) % 250.93/251.16 (define @t469 () (= @t2 @t86)) % 250.93/251.16 (define @t470 () (or @t185 @t184 @t469)) % 250.93/251.16 (define @t471 () (=> @t376 @t469)) % 250.93/251.16 (define @t472 () (= @t321 @t466)) % 250.93/251.16 (define @t473 () (or @t326 @t338 @t472)) % 250.93/251.16 (define @t474 () (forall @t9 @t470)) % 250.93/251.16 (define @t475 () (or @t326 @t324 @t472)) % 250.93/251.16 (define @t476 () (@quantifiers_skolemize @t345 0)) % 250.93/251.16 (define @t477 () (tptp.memberP tptp.nil @t476)) % 250.93/251.16 (define @t478 () (not @t477)) % 250.93/251.16 (define @t479 () (tptp.ssItem @t476)) % 250.93/251.16 (define @t480 () (not @t479)) % 250.93/251.16 (define @t481 () (or @t480 @t478 (not (tptp.memberP @t344 @t476)) (not (tptp.leq @t343 @t476)) (tptp.lt @t343 @t476))) % 250.93/251.16 (define @t482 () (@list @t481)) % 250.93/251.16 (define @t483 () (or @t480 @t478)) % 250.93/251.16 (define @t484 () (not @t483)) % 250.93/251.16 (define @t485 () (forall @t9 (or (not @t8) @t78))) % 250.93/251.16 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 250.93/251.16 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 250.93/251.16 (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))))))))))) % 250.93/251.16 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 250.93/251.16 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 250.93/251.16 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 250.93/251.16 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 250.93/251.16 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 250.93/251.16 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 250.93/251.16 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 250.93/251.16 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 250.93/251.16 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 250.93/251.16 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 250.93/251.16 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 250.93/251.16 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 250.93/251.16 (assume @p16 @t41) % 250.93/251.16 (assume @p17 @t42) % 250.93/251.16 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 250.93/251.16 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 250.93/251.16 (assume @p20 @t52) % 250.93/251.16 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 250.93/251.16 (assume @p22 @t58) % 250.93/251.16 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 250.93/251.16 (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t59))))) % 250.93/251.16 (assume @p25 @t64) % 250.93/251.16 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t65)))))) % 250.93/251.16 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t66) (tptp.app @t44 @t2))))))))) % 250.93/251.16 (assume @p28 @t69) % 250.93/251.16 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t71 @t70) @t3)))))) % 250.93/251.16 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t26) (tptp.leq @t2 @t12))))))))) % 250.93/251.16 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 250.93/251.16 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t70)))))) % 250.93/251.16 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not @t73))))))) % 250.93/251.16 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 @t35) @t75)))))))) % 250.93/251.16 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t76 @t73)))))) % 250.93/251.16 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t77))))))))) % 250.93/251.16 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t77))))))))) % 250.93/251.16 (assume @p38 @t79) % 250.93/251.16 (assume @p39 (not (tptp.singletonP tptp.nil))) % 250.93/251.16 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 250.93/251.16 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 250.93/251.16 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 250.93/251.16 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 250.93/251.16 (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)))))))))))) % 250.93/251.16 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 250.93/251.16 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 250.93/251.16 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 250.93/251.16 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 250.93/251.16 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 250.93/251.16 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t80 @t1))))))))) % 250.93/251.16 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 250.93/251.16 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 250.93/251.16 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 250.93/251.16 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 250.93/251.16 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 250.93/251.16 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t80 @t10) @t1))))))))))) % 250.93/251.16 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 250.93/251.16 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 250.93/251.16 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t81)))) % 250.93/251.16 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 250.93/251.16 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t81)))) % 250.93/251.16 (assume @p62 (tptp.totalorderP tptp.nil)) % 250.93/251.16 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t81)))) % 250.93/251.16 (assume @p64 (tptp.strictorderP tptp.nil)) % 250.93/251.16 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t81)))) % 250.93/251.16 (assume @p66 (tptp.totalorderedP tptp.nil)) % 250.93/251.16 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t85) (or @t83 (and @t84 (tptp.totalorderedP @t1) (tptp.leq @t2 @t82))))))))) % 250.93/251.16 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t81)))) % 250.93/251.16 (assume @p69 (tptp.strictorderedP tptp.nil)) % 250.93/251.16 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t85) (or @t83 (and @t84 (tptp.strictorderedP @t1) (tptp.lt @t2 @t82))))))))) % 250.93/251.16 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t81)))) % 250.93/251.16 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 250.93/251.16 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t81)))) % 250.93/251.16 (assume @p74 (tptp.equalelemsP tptp.nil)) % 250.93/251.16 (assume @p75 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t6 (= @t53 @t1))))))) % 250.93/251.16 (assume @p76 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t21 (= @t59 @t1))))))) % 250.93/251.16 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t84 @t55 (= @t82 @t53) (= (tptp.tl @t1) @t59)) @t43)))))) % 250.93/251.16 (assume @p78 @t89) % 250.93/251.16 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t65) @t90)))))))) % 250.93/251.16 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t66) @t90)))))))) % 250.93/251.16 (assume @p81 @t94) % 250.93/251.16 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t65 @t12) (tptp.app @t2 @t19))))))))) % 250.93/251.16 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t65) (and @t83 @t49))))))) % 250.93/251.16 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 250.93/251.16 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.hd @t65) @t53))))))) % 250.93/251.16 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.tl @t65) (tptp.app @t59 @t1)))))))) % 250.93/251.16 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 (tptp.geq @t1 @t2)) @t3)))))) % 250.93/251.16 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 250.93/251.16 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 250.93/251.16 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 250.93/251.16 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t35) @t75)))))))) % 250.93/251.16 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (or @t3 @t74))))))) % 250.93/251.16 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 (and @t4 @t71))))))) % 250.93/251.16 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (not (tptp.gt @t1 @t2)))))))) % 250.93/251.16 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 250.93/251.16 (assume @p96 @t160) % 250.93/251.16 (assume @p97 true) % 250.93/251.16 (step @p98 :rule bool-impl-elim :args (@t8 @t78)) % 250.93/251.16 (step @p99 :rule cong :premises (@p98) :args (@t79)) % 250.93/251.16 (step @p100 :rule eq_resolve :premises (@p38 @p99)) % 250.93/251.16 (step @p101 :rule quant-miniscope-or :args ((= (forall @t9 @t190) (or @t189 @t187)))) % 250.93/251.16 (step @p102 :rule aci_norm :args ((= @t191 @t190))) % 250.93/251.16 (step @p103 :rule cong :premises (@p102) :args ((forall @t9 @t191))) % 250.93/251.16 (step @p104 :rule trans :premises (@p103 @p101)) % 250.93/251.16 (step @p105 :rule aci_norm :args ((= (or @t185 @t192) @t191))) % 250.93/251.16 (step @p106 :rule bool-impl-elim :args (@t17 @t192)) % 250.93/251.16 (step @p107 :rule trans :premises (@p106 @p105)) % 250.93/251.16 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (=> @t17 @t192)))) % 250.93/251.16 (step @p109 :rule trans :premises (@p108 @p104)) % 250.93/251.16 (step @p110 :rule quant-miniscope-or :args ((= (forall @t7 @t193) @t192))) % 250.93/251.16 (step @p111 :rule aci_norm :args ((= @t194 @t193))) % 250.93/251.16 (step @p112 :rule cong :premises (@p111) :args ((forall @t7 @t194))) % 250.93/251.16 (step @p113 :rule trans :premises (@p112 @p110)) % 250.93/251.16 (step @p114 :rule aci_norm :args ((= (or @t188 @t195) @t194))) % 250.93/251.16 (step @p115 :rule bool-impl-elim :args (@t21 @t195)) % 250.93/251.16 (step @p116 :rule trans :premises (@p115 @p114)) % 250.93/251.16 (step @p117 :rule cong :premises (@p116) :args ((forall @t7 (=> @t21 @t195)))) % 250.93/251.16 (step @p118 :rule trans :premises (@p117 @p113)) % 250.93/251.16 (step @p119 :rule aci_norm :args ((= (or @t184 @t183 @t188 @t196) @t195))) % 250.93/251.16 (step @p120 :rule aci_norm :args ((= (or @t185 false @t171) @t196))) % 250.93/251.16 (step @p121 :rule refl :args (@t171)) % 250.93/251.16 (step @p122 :rule evaluate :args ((not true))) % 250.93/251.16 (step @p123 :rule eq-refl :args (@t2)) % 250.93/251.16 (step @p124 :rule cong :premises (@p123) :args (@t197)) % 250.93/251.16 (step @p125 :rule trans :premises (@p124 @p122)) % 250.93/251.16 (step @p126 :rule refl :args (@t185)) % 250.93/251.16 (step @p127 :rule nary_cong :premises (@p126 @p125 @p121) :args (@t198)) % 250.93/251.16 (step @p128 :rule trans :premises (@p127 @p120)) % 250.93/251.16 (step @p129 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t90) @t202 @t149 @t201)) @t198))) % 250.93/251.16 (step @p130 :rule refl :args (@t201)) % 250.93/251.16 (step @p131 :rule refl :args (@t149)) % 250.93/251.16 (step @p132 :rule refl :args (@t202)) % 250.93/251.16 (step @p133 :rule eq-symm :args (@t2 @t12)) % 250.93/251.16 (step @p134 :rule cong :premises (@p133) :args (@t149)) % 250.93/251.16 (step @p135 :rule nary_cong :premises (@p134 @p132 @p131 @p130) :args (@t203)) % 250.93/251.16 (step @p136 :rule aci_norm :args ((= @t204 @t203))) % 250.93/251.16 (step @p137 :rule trans :premises (@p136 @p135)) % 250.93/251.16 (step @p138 :rule cong :premises (@p137) :args (@t205)) % 250.93/251.16 (step @p139 :rule trans :premises (@p138 @p129)) % 250.93/251.16 (step @p140 :rule trans :premises (@p139 @p128)) % 250.93/251.16 (step @p141 :rule refl :args (@t188)) % 250.93/251.16 (step @p142 :rule refl :args (@t183)) % 250.93/251.16 (step @p143 :rule refl :args (@t184)) % 250.93/251.16 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t206)) % 250.93/251.16 (step @p145 :rule trans :premises (@p144 @p119)) % 250.93/251.16 (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t207) @t206))) % 250.93/251.16 (step @p147 :rule aci_norm :args ((= @t208 @t207))) % 250.93/251.16 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t208))) % 250.93/251.16 (step @p149 :rule trans :premises (@p148 @p146)) % 250.93/251.16 (step @p150 :rule trans :premises (@p149 @p145)) % 250.93/251.16 (step @p151 :rule aci_norm :args ((= (or @t202 @t209) @t208))) % 250.93/251.16 (step @p152 :rule bool-impl-elim :args (@t15 @t209)) % 250.93/251.16 (step @p153 :rule trans :premises (@p152 @p151)) % 250.93/251.16 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t209)))) % 250.93/251.16 (step @p155 :rule trans :premises (@p154 @p150)) % 250.93/251.16 (step @p156 :rule aci_norm :args ((= (or @t188 false) @t188))) % 250.93/251.16 (step @p157 :rule eq-refl :args (@t1)) % 250.93/251.16 (step @p158 :rule cong :premises (@p157) :args (@t210)) % 250.93/251.16 (step @p159 :rule trans :premises (@p158 @p122)) % 250.93/251.16 (step @p160 :rule nary_cong :premises (@p141 @p159) :args (@t211)) % 250.93/251.16 (step @p161 :rule trans :premises (@p160 @p156)) % 250.93/251.16 (step @p162 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t212 @t150)) @t211))) % 250.93/251.16 (step @p163 :rule refl :args (@t150)) % 250.93/251.16 (step @p164 :rule refl :args (@t212)) % 250.93/251.16 (step @p165 :rule eq-symm :args (@t1 @t10)) % 250.93/251.16 (step @p166 :rule cong :premises (@p165) :args (@t150)) % 250.93/251.16 (step @p167 :rule nary_cong :premises (@p166 @p164 @p163) :args (@t213)) % 250.93/251.16 (step @p168 :rule aci_norm :args ((= @t214 @t213))) % 250.93/251.16 (step @p169 :rule trans :premises (@p168 @p167)) % 250.93/251.16 (step @p170 :rule cong :premises (@p169) :args (@t215)) % 250.93/251.16 (step @p171 :rule trans :premises (@p170 @p162)) % 250.93/251.16 (step @p172 :rule trans :premises (@p171 @p161)) % 250.93/251.16 (step @p173 :rule refl :args (@t201)) % 250.93/251.16 (step @p174 :rule refl :args (@t149)) % 250.93/251.16 (step @p175 :rule nary_cong :premises (@p174 @p143 @p142 @p173 @p172) :args (@t216)) % 250.93/251.16 (step @p176 :rule quant-miniscope-or :args ((= (forall @t14 @t217) @t216))) % 250.93/251.16 (step @p177 :rule aci_norm :args ((= @t218 @t217))) % 250.93/251.16 (step @p178 :rule cong :premises (@p177) :args ((forall @t14 @t218))) % 250.93/251.16 (step @p179 :rule trans :premises (@p178 @p176)) % 250.93/251.16 (step @p180 :rule trans :premises (@p179 @p175)) % 250.93/251.16 (step @p181 :rule aci_norm :args ((= (or @t212 @t219) @t218))) % 250.93/251.16 (step @p182 :rule bool-impl-elim :args (@t13 @t219)) % 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(@p744) :args (@t450)) % 250.93/251.16 (step @p616 :rule eq_resolve :premises (@p614 @p611)) % 250.93/251.16 (step @p617 :rule implies_elim :premises (@p616)) % 250.93/251.16 (step @p618 :rule eq_resolve :premises (@p617 @p603)) % 250.93/251.16 (step @p619 :rule chain_m_resolution :premises (@p618 @p600) :args (@t447 @t341 (@list @t434))) % 250.93/251.16 (step @p620 :rule bool-double-not-elim :args (@t444)) % 250.93/251.16 (step @p621 :rule refl :args (@t446)) % 250.93/251.16 (step @p622 :rule nary_cong :premises (@p621 @p620) :args ((or @t446 (not @t445)))) % 250.93/251.16 (step @p623 :rule cnf_or_neg :args (@t446 0)) % 250.93/251.16 (step @p624 :rule eq_resolve :premises (@p623 @p622)) % 250.93/251.16 (step @p625 :rule reordering :premises (@p624) :args ((or @t444 @t446))) % 250.93/251.16 (step @p626 :rule chain_m_resolution :premises (@p625 @p619) :args (@t444 @t341 @t451)) % 250.93/251.16 (step @p627 :rule true_intro :premises (@p626)) % 250.93/251.16 (step @p628 :rule aci_norm :args ((= @t456 (or @t185 @t454 @t453)))) % 250.93/251.16 (step @p629 :rule cong :premises (@p628) :args (@t457)) % 250.93/251.16 (step @p630 :rule quant-merge-prenex :args ((= (forall @t9 @t459) @t457))) % 250.93/251.16 (step @p631 :rule alpha_equiv :args (@t460 (@list @t452) @t371)) % 250.93/251.16 (step @p632 :rule nary_cong :premises (@p453 @p631) :args (@t461)) % 250.93/251.16 (step @p633 :rule quant-miniscope-or :args ((= @t459 @t461))) % 250.93/251.16 (step @p634 :rule trans :premises (@p633 @p632)) % 250.93/251.16 (step @p635 :rule symm :premises (@p634)) % 250.93/251.16 (step @p636 :rule cong :premises (@p635) :args ((forall @t9 (or @t185 @t463)))) % 250.93/251.16 (step @p637 :rule trans :premises (@p636 @p630)) % 250.93/251.16 (step @p638 :rule trans :premises (@p637 @p629)) % 250.93/251.16 (step @p639 :rule bool-impl-elim :args (@t17 @t463)) % 250.93/251.16 (step @p640 :rule cong :premises (@p639) :args ((forall @t9 (=> @t17 @t463)))) % 250.93/251.16 (step @p641 :rule trans :premises (@p640 @p638)) % 250.93/251.16 (step @p642 :rule bool-impl-elim :args (@t6 @t462)) % 250.93/251.16 (step @p643 :rule cong :premises (@p642) :args ((forall @t7 (=> @t6 @t462)))) % 250.93/251.16 (step @p644 :rule eq-symm :args (@t60 @t2)) % 250.93/251.16 (step @p645 :rule refl :args (@t6)) % 250.93/251.16 (step @p646 :rule cong :premises (@p645 @p644) :args (@t61)) % 250.93/251.16 (step @p647 :rule cong :premises (@p646) :args (@t62)) % 250.93/251.16 (step @p648 :rule trans :premises (@p647 @p643)) % 250.93/251.16 (step @p649 :rule cong :premises (@p374 @p648) :args (@t63)) % 250.93/251.16 (step @p650 :rule cong :premises (@p649) :args (@t64)) % 250.93/251.16 (step @p651 :rule trans :premises (@p650 @p641)) % 250.93/251.16 (step @p652 :rule eq_resolve :premises (@p25 @p651)) % 250.93/251.16 (step @p653 :rule instantiate :premises (@p652) :args ((@list @t437 @t438))) % 250.93/251.16 (step @p654 :rule bool-double-not-elim :args (@t442)) % 250.93/251.16 (step @p655 :rule nary_cong :premises (@p621 @p654) :args ((or @t446 (not @t443)))) % 250.93/251.16 (step @p656 :rule cnf_or_neg :args (@t446 1)) % 250.93/251.16 (step @p657 :rule eq_resolve :premises (@p656 @p655)) % 250.93/251.16 (step @p658 :rule reordering :premises (@p657) :args ((or @t442 @t446))) % 250.93/251.16 (step @p659 :rule chain_m_resolution :premises (@p658 @p619) :args (@t442 @t341 @t451)) % 250.93/251.16 (step @p660 :rule cnf_or_pos :args (@t465)) % 250.93/251.16 (step @p661 :rule reordering :premises (@p660) :args ((or @t445 @t443 @t464 (not @t465)))) % 250.93/251.16 (step @p662 :rule chain_m_resolution :premises (@p661 @p626 @p659 @p653) :args (@t464 @t386 (@list @t444 @t442 @t465))) % 250.93/251.16 (step @p663 :rule symm :premises (@p662)) % 250.93/251.16 (step @p664 :rule bool-double-not-elim :args (@t440)) % 250.93/251.16 (step @p665 :rule nary_cong :premises (@p621 @p664) :args ((or @t446 (not @t441)))) % 250.93/251.16 (step @p666 :rule cnf_or_neg :args (@t446 2)) % 250.93/251.16 (step @p667 :rule eq_resolve :premises (@p666 @p665)) % 250.93/251.16 (step @p668 :rule reordering :premises (@p667) :args ((or @t440 @t446))) % 250.93/251.16 (step @p669 :rule chain_m_resolution :premises (@p668 @p619) :args (@t440 @t341 @t451)) % 250.93/251.16 (step @p670 :rule cong :premises (@p669) :args (@t344)) % 250.93/251.16 (step @p671 :rule trans :premises (@p670 @p663)) % 250.93/251.16 (step @p672 :rule cong :premises (@p671) :args (@t351)) % 250.93/251.16 (step @p673 :rule trans :premises (@p672 @p627)) % 250.93/251.16 (step @p674 :rule true_elim :premises (@p673)) % 250.93/251.16 (step @p675 :rule cnf_or_pos :args (@t468)) % 250.93/251.16 (step @p676 :rule reordering :premises (@p675) :args ((or @t355 @t352 @t467 (not @t468)))) % 250.93/251.16 (step @p677 :rule chain_m_resolution :premises (@p676 @p510 @p674 @p538) :args (@t467 @t386 (@list @t354 @t351 @t468))) % 250.93/251.16 (step @p678 :rule aci_norm :args ((= (or @t185 (or @t184 @t469)) @t470))) % 250.93/251.16 (step @p679 :rule refl :args (@t469)) % 250.93/251.16 (step @p680 :rule nary_cong :premises (@p473 @p679) :args ((or @t377 @t469))) % 250.93/251.16 (step @p681 :rule bool-impl-elim :args (@t376 @t469)) % 250.93/251.16 (step @p682 :rule trans :premises (@p681 @p680)) % 250.93/251.16 (step @p683 :rule nary_cong :premises (@p453 @p682) :args ((or @t185 @t471))) % 250.93/251.16 (step @p684 :rule trans :premises (@p683 @p678)) % 250.93/251.16 (step @p685 :rule bool-impl-elim :args (@t17 @t471)) % 250.93/251.16 (step @p686 :rule trans :premises (@p685 @p684)) % 250.93/251.16 (step @p687 :rule cong :premises (@p686) :args ((forall @t9 (=> @t17 @t471)))) % 250.93/251.16 (step @p688 :rule eq-symm :args (@t86 @t2)) % 250.93/251.16 (step @p689 :rule cong :premises (@p483 @p688) :args (@t87)) % 250.93/251.18 (step @p690 :rule cong :premises (@p374 @p689) :args (@t88)) % 250.93/251.18 (step @p691 :rule cong :premises (@p690) :args (@t89)) % 250.93/251.18 (step @p692 :rule trans :premises (@p691 @p687)) % 250.93/251.18 (step @p693 :rule eq_resolve :premises (@p78 @p692)) % 250.93/251.18 (step @p694 :rule refl :args (@t472)) % 250.93/251.18 (step @p695 :rule nary_cong :premises (@p404 @p403 @p694) :args (@t473)) % 250.93/251.18 (step @p696 :rule refl :args (@t474)) % 250.93/251.18 (step @p697 :rule cong :premises (@p696 @p695) :args ((=> @t474 @t473))) % 250.93/251.18 (assume-push @p745 @t474) % 250.93/251.18 (step @p699 :rule instantiate :premises (@p693) :args (@t381)) % 250.93/251.18 (step-pop @p746 :rule scope :premises (@p699)) % 250.93/251.18 (step @p700 :rule process_scope :premises (@p746) :args (@t473)) % 250.93/251.18 (step @p702 :rule eq_resolve :premises (@p700 @p697)) % 250.93/251.18 (step @p703 :rule implies_elim :premises (@p702)) % 250.93/251.18 (step @p704 :rule chain_m_resolution :premises (@p703 @p693) :args (@t475 @t360 (@list @t474))) % 250.93/251.18 (step @p705 :rule cnf_or_pos :args (@t475)) % 250.93/251.18 (step @p706 :rule reordering :premises (@p705) :args ((or @t326 @t324 @t472 (not @t475)))) % 250.93/251.18 (step @p707 :rule chain_m_resolution :premises (@p706 @p507 @p501 @p704) :args (@t472 @t383 (@list @t325 @t324 @t475))) % 250.93/251.18 (step @p708 :rule trans :premises (@p707 @p677 @p517)) % 250.93/251.18 (step @p709 :rule cnf_or_pos :args (@t359)) % 250.93/251.18 (step @p710 :rule reordering :premises (@p709) :args ((or @t353 @t355 @t352 @t346 @t358 (not @t359)))) % 250.93/251.18 (step @p711 :rule chain_m_resolution :premises (@p710 @p17 @p510 @p674 @p708 @p439) :args (@t346 (@list false false false false false) (@list @t42 @t354 @t351 @t357 @t359))) % 250.93/251.18 (step @p712 :rule skolemize :premises (@p711)) % 250.93/251.18 (step @p713 :rule bool-double-not-elim :args (@t477)) % 250.93/251.18 (step @p714 :rule refl :args (@t481)) % 250.93/251.18 (step @p715 :rule nary_cong :premises (@p714 @p713) :args ((or @t481 (not @t478)))) % 250.93/251.18 (step @p716 :rule cnf_or_neg :args (@t481 1)) % 250.93/251.18 (step @p717 :rule eq_resolve :premises (@p716 @p715)) % 250.93/251.18 (step @p718 :rule reordering :premises (@p717) :args ((or @t477 @t481))) % 250.93/251.18 (step @p719 :rule chain_m_resolution :premises (@p718 @p712) :args (@t477 @t341 @t482)) % 250.93/251.18 (step @p720 :rule bool-double-not-elim :args (@t479)) % 250.93/251.18 (step @p721 :rule nary_cong :premises (@p714 @p720) :args ((or @t481 (not @t480)))) % 250.93/251.18 (step @p722 :rule cnf_or_neg :args (@t481 0)) % 250.93/251.18 (step @p723 :rule eq_resolve :premises (@p722 @p721)) % 250.93/251.18 (step @p724 :rule reordering :premises (@p723) :args ((or @t479 @t481))) % 250.93/251.18 (step @p725 :rule chain_m_resolution :premises (@p724 @p712) :args (@t479 @t341 @t482)) % 250.93/251.18 (step @p726 :rule cnf_or_pos :args (@t483)) % 250.93/251.18 (step @p727 :rule reordering :premises (@p726) :args ((or @t480 @t478 @t484))) % 250.93/251.18 (step @p728 :rule chain_m_resolution :premises (@p727 @p725 @p719) :args (@t484 @t390 (@list @t479 @t477))) % 250.93/251.18 (assume-push @p747 @t485) % 250.93/251.18 (step @p730 :rule instantiate :premises (@p100) :args ((@list @t476))) % 250.93/251.18 (step-pop @p748 :rule scope :premises (@p730)) % 250.93/251.18 (step @p731 :rule process_scope :premises (@p748) :args (@t483)) % 250.93/251.18 (step @p733 :rule implies_elim :premises (@p731)) % 250.93/251.18 (step @p734 false :rule chain_m_resolution :premises (@p733 @p728 @p100) :args (false (@list true false) (@list @t483 @t485))) % 250.93/251.18 ) % 250.93/251.18 % SZS output end Proof % 250.93/251.18 % cvc5 exiting %------------------------------------------------------------------------------