%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC066+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:57:54 AM UTC 2026 % Result : Theorem 236.34s 236.66s % Output : Proof 236.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC066+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:12:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 236.34/236.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 236.34/236.66 --- Run --no-e-matching --full-saturate-quant at 6... % 236.34/236.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 236.34/236.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 236.34/236.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 236.34/236.66 --- Run --trigger-sel=max --full-saturate-quant at 15... % 236.34/236.66 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 236.34/236.66 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 236.34/236.66 --- Run --prenex-quant=none --full-saturate-quant at 30... % 236.34/236.66 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 236.34/236.66 --- Run --relevant-triggers --full-saturate-quant at 30... % 236.34/236.66 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 236.34/236.66 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 236.34/236.66 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 236.34/236.66 % SZS status Theorem % 236.34/236.66 % SZS output start Proof % 236.34/236.66 ( % 236.34/236.66 (declare-sort $$unsorted 0) % 236.34/236.66 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 236.34/236.66 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 236.34/236.66 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 236.34/236.66 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 236.34/236.66 (declare-const tptp.nil $$unsorted) % 236.34/236.66 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.ssList (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 236.34/236.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 236.34/236.66 (define @t1 () (@var "V" $$unsorted)) % 236.34/236.66 (define @t2 () (@var "U" $$unsorted)) % 236.34/236.66 (define @t3 () (= @t2 @t1)) % 236.34/236.66 (define @t4 () (not @t3)) % 236.34/236.66 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 236.34/236.66 (define @t6 () (tptp.ssItem @t1)) % 236.34/236.66 (define @t7 () (@list @t1)) % 236.34/236.66 (define @t8 () (tptp.ssItem @t2)) % 236.34/236.66 (define @t9 () (@list @t2)) % 236.34/236.66 (define @t10 () (@var "X" $$unsorted)) % 236.34/236.66 (define @t11 () (tptp.cons @t1 @t10)) % 236.34/236.66 (define @t12 () (@var "W" $$unsorted)) % 236.34/236.66 (define @t13 () (tptp.ssList @t10)) % 236.34/236.66 (define @t14 () (@list @t10)) % 236.34/236.66 (define @t15 () (tptp.ssList @t12)) % 236.34/236.66 (define @t16 () (@list @t12)) % 236.34/236.66 (define @t17 () (tptp.ssList @t2)) % 236.34/236.66 (define @t18 () (tptp.cons @t1 tptp.nil)) % 236.34/236.66 (define @t19 () (and @t6 (= @t18 @t2))) % 236.34/236.66 (define @t20 () (exists @t7 @t19)) % 236.34/236.66 (define @t21 () (tptp.singletonP @t2)) % 236.34/236.66 (define @t22 () (= @t21 @t20)) % 236.34/236.66 (define @t23 () (=> @t17 @t22)) % 236.34/236.66 (define @t24 () (forall @t9 @t23)) % 236.34/236.66 (define @t25 () (tptp.app @t1 @t12)) % 236.34/236.66 (define @t26 () (tptp.frontsegP @t2 @t1)) % 236.34/236.66 (define @t27 () (tptp.ssList @t1)) % 236.34/236.66 (define @t28 () (tptp.app @t12 @t1)) % 236.34/236.66 (define @t29 () (tptp.rearsegP @t2 @t1)) % 236.34/236.66 (define @t30 () (tptp.segmentP @t2 @t1)) % 236.34/236.66 (define @t31 () (tptp.leq @t12 @t1)) % 236.34/236.66 (define @t32 () (tptp.leq @t1 @t12)) % 236.34/236.66 (define @t33 () (@var "Z" $$unsorted)) % 236.34/236.66 (define @t34 () (@var "Y" $$unsorted)) % 236.34/236.66 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 236.34/236.66 (define @t36 () (tptp.ssList @t33)) % 236.34/236.66 (define @t37 () (@list @t33)) % 236.34/236.66 (define @t38 () (tptp.ssList @t34)) % 236.34/236.66 (define @t39 () (@list @t34)) % 236.34/236.66 (define @t40 () (tptp.ssItem @t12)) % 236.34/236.66 (define @t41 () (tptp.lt @t1 @t12)) % 236.34/236.66 (define @t42 () (tptp.totalorderedP @t2)) % 236.34/236.66 (define @t43 () (= @t1 @t12)) % 236.34/236.66 (define @t44 () (forall @t7 (=> @t27 @t5))) % 236.34/236.66 (define @t45 () (=> @t17 @t44)) % 236.34/236.66 (define @t46 () (forall @t9 @t45)) % 236.34/236.66 (define @t47 () (tptp.cons @t1 @t2)) % 236.34/236.66 (define @t48 () (tptp.ssList @t47)) % 236.34/236.66 (define @t49 () (forall @t7 (=> @t6 @t48))) % 236.34/236.66 (define @t50 () (=> @t17 @t49)) % 236.34/236.66 (define @t51 () (forall @t9 @t50)) % 236.34/236.66 (define @t52 () (tptp.ssList tptp.nil)) % 236.34/236.66 (define @t53 () (= @t1 @t2)) % 236.34/236.66 (define @t54 () (tptp.cons @t12 @t1)) % 236.34/236.66 (define @t55 () (and @t40 (= @t54 @t2))) % 236.34/236.66 (define @t56 () (exists @t16 @t55)) % 236.34/236.66 (define @t57 () (and @t27 @t56)) % 236.34/236.66 (define @t58 () (exists @t7 @t57)) % 236.34/236.66 (define @t59 () (= tptp.nil @t2)) % 236.34/236.66 (define @t60 () (or @t59 @t58)) % 236.34/236.66 (define @t61 () (=> @t17 @t60)) % 236.34/236.66 (define @t62 () (forall @t9 @t61)) % 236.34/236.66 (define @t63 () (tptp.hd @t2)) % 236.34/236.66 (define @t64 () (tptp.ssItem @t63)) % 236.34/236.66 (define @t65 () (not @t59)) % 236.34/236.66 (define @t66 () (=> @t65 @t64)) % 236.34/236.66 (define @t67 () (=> @t17 @t66)) % 236.34/236.66 (define @t68 () (forall @t9 @t67)) % 236.34/236.66 (define @t69 () (tptp.tl @t2)) % 236.34/236.66 (define @t70 () (tptp.tl @t47)) % 236.34/236.66 (define @t71 () (=> @t6 (= @t70 @t2))) % 236.34/236.66 (define @t72 () (forall @t7 @t71)) % 236.34/236.66 (define @t73 () (=> @t17 @t72)) % 236.34/236.66 (define @t74 () (forall @t9 @t73)) % 236.34/236.66 (define @t75 () (tptp.app @t2 @t1)) % 236.34/236.66 (define @t76 () (tptp.app @t1 @t2)) % 236.34/236.66 (define @t77 () (tptp.app tptp.nil @t2)) % 236.34/236.66 (define @t78 () (=> @t17 (= @t77 @t2))) % 236.34/236.66 (define @t79 () (forall @t9 @t78)) % 236.34/236.66 (define @t80 () (tptp.leq @t1 @t2)) % 236.34/236.66 (define @t81 () (tptp.leq @t2 @t1)) % 236.34/236.66 (define @t82 () (tptp.geq @t2 @t1)) % 236.34/236.66 (define @t83 () (tptp.lt @t1 @t2)) % 236.34/236.66 (define @t84 () (tptp.lt @t2 @t1)) % 236.34/236.66 (define @t85 () (tptp.lt @t2 @t12)) % 236.34/236.66 (define @t86 () (tptp.gt @t2 @t1)) % 236.34/236.66 (define @t87 () (tptp.memberP @t12 @t2)) % 236.34/236.66 (define @t88 () (tptp.singletonP tptp.nil)) % 236.34/236.66 (define @t89 () (tptp.app @t12 @t2)) % 236.34/236.66 (define @t90 () (tptp.segmentP @t1 @t12)) % 236.34/236.66 (define @t91 () (tptp.segmentP @t1 @t2)) % 236.34/236.66 (define @t92 () (tptp.segmentP @t2 @t2)) % 236.34/236.66 (define @t93 () (forall @t9 (=> @t17 @t92))) % 236.34/236.66 (define @t94 () (tptp.segmentP (tptp.app @t89 @t10) @t1)) % 236.34/236.66 (define @t95 () (=> @t30 @t94)) % 236.34/236.66 (define @t96 () (forall @t14 (=> @t13 @t95))) % 236.34/236.66 (define @t97 () (=> @t15 @t96)) % 236.34/236.66 (define @t98 () (forall @t16 @t97)) % 236.34/236.66 (define @t99 () (=> @t27 @t98)) % 236.34/236.66 (define @t100 () (forall @t7 @t99)) % 236.34/236.66 (define @t101 () (=> @t17 @t100)) % 236.34/236.66 (define @t102 () (forall @t9 @t101)) % 236.34/236.66 (define @t103 () (tptp.segmentP tptp.nil @t2)) % 236.34/236.66 (define @t104 () (=> @t17 (= @t103 @t59))) % 236.34/236.66 (define @t105 () (forall @t9 @t104)) % 236.34/236.66 (define @t106 () (tptp.cons @t2 tptp.nil)) % 236.34/236.66 (define @t107 () (tptp.totalorderedP @t106)) % 236.34/236.66 (define @t108 () (forall @t9 (=> @t8 @t107))) % 236.34/236.66 (define @t109 () (tptp.hd @t1)) % 236.34/236.66 (define @t110 () (= tptp.nil @t1)) % 236.34/236.66 (define @t111 () (not @t110)) % 236.34/236.66 (define @t112 () (tptp.cons @t2 @t1)) % 236.34/236.66 (define @t113 () (tptp.cons @t63 @t69)) % 236.34/236.66 (define @t114 () (=> @t65 (= @t113 @t2))) % 236.34/236.66 (define @t115 () (=> @t17 @t114)) % 236.34/236.66 (define @t116 () (forall @t9 @t115)) % 236.34/236.66 (define @t117 () (= @t12 @t2)) % 236.34/236.66 (define @t118 () (= @t47 (tptp.app @t18 @t2))) % 236.34/236.66 (define @t119 () (forall @t7 (=> @t6 @t118))) % 236.34/236.66 (define @t120 () (=> @t17 @t119)) % 236.34/236.66 (define @t121 () (forall @t9 @t120)) % 236.34/236.66 (define @t122 () (tptp.segmentP @t2 @t33)) % 236.34/236.66 (define @t123 () (tptp.segmentP @t1 @t33)) % 236.34/236.66 (define @t124 () (tptp.neq @t33 tptp.nil)) % 236.34/236.66 (define @t125 () (and @t36 @t124 @t123 @t122)) % 236.34/236.66 (define @t126 () (exists @t37 @t125)) % 236.34/236.66 (define @t127 () (not (tptp.neq @t1 tptp.nil))) % 236.34/236.66 (define @t128 () (or @t127 @t126)) % 236.34/236.66 (define @t129 () (or @t111 @t59)) % 236.34/236.66 (define @t130 () (and @t129 @t128)) % 236.34/236.66 (define @t131 () (tptp.totalorderedP @t34)) % 236.34/236.66 (define @t132 () (tptp.segmentP @t34 @t12)) % 236.34/236.66 (define @t133 () (tptp.segmentP @t10 @t34)) % 236.34/236.66 (define @t134 () (tptp.neq @t12 @t34)) % 236.34/236.66 (define @t135 () (and @t38 @t134 @t133 @t132 @t131)) % 236.34/236.66 (define @t136 () (exists @t39 @t135)) % 236.34/236.66 (define @t137 () (not (tptp.totalorderedP @t12))) % 236.34/236.66 (define @t138 () (not (tptp.segmentP @t10 @t12))) % 236.34/236.66 (define @t139 () (not (= @t2 @t12))) % 236.34/236.66 (define @t140 () (not (= @t1 @t10))) % 236.34/236.66 (define @t141 () (or @t140 @t139 @t138 @t137 @t136 @t130)) % 236.34/236.66 (define @t142 () (=> @t13 @t141)) % 236.34/236.66 (define @t143 () (forall @t14 @t142)) % 236.34/236.66 (define @t144 () (=> @t15 @t143)) % 236.34/236.66 (define @t145 () (forall @t16 @t144)) % 236.34/236.66 (define @t146 () (=> @t27 @t145)) % 236.34/236.66 (define @t147 () (forall @t7 @t146)) % 236.34/236.66 (define @t148 () (=> @t17 @t147)) % 236.34/236.66 (define @t149 () (forall @t9 @t148)) % 236.34/236.66 (define @t150 () (not @t149)) % 236.34/236.66 (define @t151 () (@var "BOUND_VARIABLE_9107" $$unsorted)) % 236.34/236.66 (define @t152 () (= (tptp.neq @t2 @t151) (not (= @t2 @t151)))) % 236.34/236.66 (define @t153 () (not (tptp.ssList @t151))) % 236.34/236.66 (define @t154 () (not @t17)) % 236.34/236.66 (define @t155 () (or @t154 @t153 @t152)) % 236.34/236.66 (define @t156 () (or @t153 @t152)) % 236.34/236.66 (define @t157 () (or @t154 @t156)) % 236.34/236.66 (define @t158 () (@list @t2 @t151)) % 236.34/236.66 (define @t159 () (forall @t158 @t157)) % 236.34/236.66 (define @t160 () (@list @t151)) % 236.34/236.66 (define @t161 () (forall @t160 @t157)) % 236.34/236.66 (define @t162 () (forall @t160 @t156)) % 236.34/236.66 (define @t163 () (@list @t1)) % 236.34/236.66 (define @t164 () (or @t154 @t162)) % 236.34/236.66 (define @t165 () (not @t27)) % 236.34/236.66 (define @t166 () (forall @t7 (or @t165 @t5))) % 236.34/236.66 (define @t167 () (not @t131)) % 236.34/236.66 (define @t168 () (not (tptp.segmentP @t34 @t2))) % 236.34/236.66 (define @t169 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 236.34/236.66 (define @t170 () (not (tptp.neq @t2 @t34))) % 236.34/236.66 (define @t171 () (not @t38)) % 236.34/236.66 (define @t172 () (not (forall @t39 (or @t171 @t170 (not (tptp.segmentP @t169 @t34)) @t168 @t167)))) % 236.34/236.66 (define @t173 () (not (tptp.segmentP @t169 @t2))) % 236.34/236.66 (define @t174 () (not @t122)) % 236.34/236.66 (define @t175 () (not @t124)) % 236.34/236.66 (define @t176 () (not @t36)) % 236.34/236.66 (define @t177 () (or (not (tptp.neq @t169 tptp.nil)) (not (forall @t37 (or @t176 @t175 (not (tptp.segmentP @t169 @t33)) @t174))))) % 236.34/236.66 (define @t178 () (= @t2 tptp.nil)) % 236.34/236.66 (define @t179 () (not (tptp.ssList @t169))) % 236.34/236.66 (define @t180 () (not @t42)) % 236.34/236.66 (define @t181 () (@list @t2 @t169)) % 236.34/236.66 (define @t182 () (forall @t181 (or @t154 @t180 @t179 (and (or (not (= tptp.nil @t169)) @t178) @t177) @t173 @t172))) % 236.34/236.66 (define @t183 () (@quantifiers_skolemize @t182 1)) % 236.34/236.66 (define @t184 () (tptp.neq @t183 tptp.nil)) % 236.34/236.66 (define @t185 () (= tptp.nil @t183)) % 236.34/236.66 (define @t186 () (not @t185)) % 236.34/236.66 (define @t187 () (= @t183 tptp.nil)) % 236.34/236.66 (define @t188 () (not @t187)) % 236.34/236.66 (define @t189 () (= @t184 @t188)) % 236.34/236.66 (define @t190 () (not @t52)) % 236.34/236.66 (define @t191 () (tptp.ssList @t183)) % 236.34/236.66 (define @t192 () (not @t191)) % 236.34/236.66 (define @t193 () (or @t192 @t190 @t189)) % 236.34/236.66 (define @t194 () (forall @t158 @t155)) % 236.34/236.66 (define @t195 () (= @t186 @t184)) % 236.34/236.66 (define @t196 () (or @t192 @t190 @t195)) % 236.34/236.66 (define @t197 () (@list false)) % 236.34/236.66 (define @t198 () (@list @t194)) % 236.34/236.66 (define @t199 () (not (= @t169 tptp.nil))) % 236.34/236.66 (define @t200 () (or @t199 @t178)) % 236.34/236.66 (define @t201 () (and @t200 @t177)) % 236.34/236.66 (define @t202 () (or @t154 @t180 @t179 @t201 @t173 @t172)) % 236.34/236.66 (define @t203 () (or @t179 @t201 @t173 @t172)) % 236.34/236.66 (define @t204 () (or @t154 @t180 @t203)) % 236.34/236.66 (define @t205 () (forall @t181 @t204)) % 236.34/236.66 (define @t206 () (@list @t169)) % 236.34/236.66 (define @t207 () (forall @t206 @t204)) % 236.34/236.66 (define @t208 () (forall @t206 @t203)) % 236.34/236.66 (define @t209 () (or @t154 @t180 @t208)) % 236.34/236.66 (define @t210 () (not (tptp.segmentP @t1 @t34))) % 236.34/236.66 (define @t211 () (not (forall @t39 (or @t171 @t170 @t210 @t168 @t167)))) % 236.34/236.66 (define @t212 () (not @t91)) % 236.34/236.66 (define @t213 () (not @t123)) % 236.34/236.66 (define @t214 () (or @t176 @t175 @t213 @t174)) % 236.34/236.66 (define @t215 () (and (or (not (= @t1 tptp.nil)) @t178) (or @t127 (not (forall @t37 @t214))))) % 236.34/236.66 (define @t216 () (or @t165 @t215 @t212 @t211)) % 236.34/236.66 (define @t217 () (or @t154 @t180 (forall @t7 @t216))) % 236.34/236.66 (define @t218 () (or @t154 @t180 @t216)) % 236.34/236.66 (define @t219 () (or @t165 @t215 @t154 @t180 @t212 @t211)) % 236.34/236.66 (define @t220 () (or @t215 @t165 @t154 @t180 @t212 @t211)) % 236.34/236.66 (define @t221 () (or @t154 @t180 @t212 @t211)) % 236.34/236.66 (define @t222 () (not (= @t2 @t2))) % 236.34/236.66 (define @t223 () (or @t154 @t222 @t180 @t212 @t211)) % 236.34/236.66 (define @t224 () (not @t132)) % 236.34/236.66 (define @t225 () (not @t134)) % 236.34/236.66 (define @t226 () (not (forall @t39 (or @t171 @t225 @t210 @t224 @t167)))) % 236.34/236.66 (define @t227 () (not @t90)) % 236.34/236.66 (define @t228 () (not @t15)) % 236.34/236.66 (define @t229 () (or @t139 @t228 @t139 @t137 @t227 @t226)) % 236.34/236.66 (define @t230 () (or @t228 @t139 @t137 @t227 @t226)) % 236.34/236.66 (define @t231 () (forall @t16 @t230)) % 236.34/236.66 (define @t232 () (or @t215 @t165 @t231)) % 236.34/236.66 (define @t233 () (or @t215 @t165 @t230)) % 236.34/236.66 (define @t234 () (or @t228 @t139 @t137 @t215 @t165 @t227 @t226)) % 236.34/236.66 (define @t235 () (or @t139 @t137 @t215 @t165 @t227 @t226)) % 236.34/236.66 (define @t236 () (or @t165 @t227 @t226)) % 236.34/236.66 (define @t237 () (not (= @t1 @t1))) % 236.34/236.66 (define @t238 () (or @t165 @t237 @t227 @t226)) % 236.34/236.66 (define @t239 () (not @t133)) % 236.34/236.66 (define @t240 () (or @t171 @t225 @t239 @t224 @t167)) % 236.34/236.66 (define @t241 () (not (forall @t39 @t240))) % 236.34/236.66 (define @t242 () (not @t13)) % 236.34/236.66 (define @t243 () (or @t140 @t242 @t140 @t138 @t241)) % 236.34/236.66 (define @t244 () (or @t242 @t140 @t138 @t241)) % 236.34/236.66 (define @t245 () (forall @t14 @t244)) % 236.34/236.66 (define @t246 () (or @t139 @t137 @t215 @t245)) % 236.34/236.66 (define @t247 () (or @t139 @t137 @t215 @t244)) % 236.34/236.66 (define @t248 () (or @t242 @t140 @t139 @t138 @t137 @t241 @t215)) % 236.34/236.66 (define @t249 () (or @t140 @t139 @t138 @t137 @t241 @t215)) % 236.34/236.66 (define @t250 () (forall @t37 (not @t125))) % 236.34/236.66 (define @t251 () (not @t250)) % 236.34/236.66 (define @t252 () (forall @t39 (not @t135))) % 236.34/236.66 (define @t253 () (not @t252)) % 236.34/236.66 (define @t254 () (@quantifiers_skolemize @t182 0)) % 236.34/236.66 (define @t255 () (forall @t39 (or @t171 (not (tptp.neq @t254 @t34)) (not (tptp.segmentP @t183 @t34)) (not (tptp.segmentP @t34 @t254)) @t167))) % 236.34/236.66 (define @t256 () (not @t255)) % 236.34/236.66 (define @t257 () (tptp.segmentP @t183 @t254)) % 236.34/236.66 (define @t258 () (not @t257)) % 236.34/236.66 (define @t259 () (forall @t37 (or @t176 @t175 (not (tptp.segmentP @t183 @t33)) (not (tptp.segmentP @t254 @t33))))) % 236.34/236.66 (define @t260 () (not @t259)) % 236.34/236.66 (define @t261 () (not @t184)) % 236.34/236.66 (define @t262 () (or @t261 @t260)) % 236.34/236.66 (define @t263 () (= tptp.nil @t254)) % 236.34/236.66 (define @t264 () (or @t186 @t263)) % 236.34/236.66 (define @t265 () (and @t264 @t262)) % 236.34/236.66 (define @t266 () (not (tptp.totalorderedP @t254))) % 236.34/236.66 (define @t267 () (tptp.ssList @t254)) % 236.34/236.66 (define @t268 () (not @t267)) % 236.34/236.66 (define @t269 () (or @t268 @t266 @t192 @t265 @t258 @t256)) % 236.34/236.66 (define @t270 () (not @t269)) % 236.34/236.66 (define @t271 () (not @t182)) % 236.34/236.66 (define @t272 () (= @t254 tptp.nil)) % 236.34/236.66 (define @t273 () (or @t186 @t272)) % 236.34/236.66 (define @t274 () (and @t273 @t262)) % 236.34/236.66 (define @t275 () (or @t268 @t266 @t192 @t274 @t258 @t256)) % 236.34/236.66 (define @t276 () (not @t275)) % 236.34/236.66 (define @t277 () (@list true)) % 236.34/236.66 (define @t278 () (@list @t269)) % 236.34/236.66 (define @t279 () (@list false false false)) % 236.34/236.66 (define @t280 () (= @t103 @t178)) % 236.34/236.66 (define @t281 () (tptp.segmentP tptp.nil @t254)) % 236.34/236.66 (define @t282 () (or @t268 (= @t281 @t272))) % 236.34/236.66 (define @t283 () (forall @t9 (or @t154 @t280))) % 236.34/236.66 (define @t284 () (@list @t254)) % 236.34/236.66 (define @t285 () (= @t263 @t281)) % 236.34/236.66 (define @t286 () (or @t268 @t285)) % 236.34/236.66 (define @t287 () (@list false false)) % 236.34/236.66 (define @t288 () (not @t285)) % 236.34/236.66 (define @t289 () (not @t281)) % 236.34/236.66 (define @t290 () (and @t185 @t257)) % 236.34/236.66 (define @t291 () (@list true false)) % 236.34/236.66 (define @t292 () (tptp.segmentP @t254 @t254)) % 236.34/236.66 (define @t293 () (not @t292)) % 236.34/236.66 (define @t294 () (tptp.neq @t254 tptp.nil)) % 236.34/236.66 (define @t295 () (not @t294)) % 236.34/236.66 (define @t296 () (or @t268 @t295 @t258 @t293)) % 236.34/236.66 (define @t297 () (not @t263)) % 236.34/236.66 (define @t298 () (not @t272)) % 236.34/236.66 (define @t299 () (= @t294 @t298)) % 236.34/236.66 (define @t300 () (or @t268 @t190 @t299)) % 236.34/236.66 (define @t301 () (= @t297 @t294)) % 236.34/236.66 (define @t302 () (or @t268 @t190 @t301)) % 236.34/236.66 (define @t303 () (= @t2 @t18)) % 236.34/236.66 (define @t304 () (not @t6)) % 236.34/236.66 (define @t305 () (= @t21 (not (forall @t7 (or @t304 (not @t303)))))) % 236.34/236.66 (define @t306 () (and @t6 @t303)) % 236.34/236.66 (define @t307 () (forall @t7 (not @t306))) % 236.34/236.66 (define @t308 () (not @t307)) % 236.34/236.66 (define @t309 () (@list tptp.nil)) % 236.34/236.66 (define @t310 () (forall @t7 (or @t304 (not (= tptp.nil @t18))))) % 236.34/236.66 (define @t311 () (not @t310)) % 236.34/236.66 (define @t312 () (= @t88 @t311)) % 236.34/236.66 (define @t313 () (or @t190 @t312)) % 236.34/236.66 (define @t314 () (not @t312)) % 236.34/236.66 (define @t315 () (tptp.hd @t183)) % 236.34/236.66 (define @t316 () (@list @t315)) % 236.34/236.66 (define @t317 () (or @t154 @t178 @t64)) % 236.34/236.66 (define @t318 () (not @t178)) % 236.34/236.66 (define @t319 () (not @t318)) % 236.34/236.66 (define @t320 () (=> @t318 @t64)) % 236.34/236.66 (define @t321 () (tptp.ssItem @t315)) % 236.34/236.66 (define @t322 () (or @t192 @t187 @t321)) % 236.34/236.66 (define @t323 () (forall @t9 @t317)) % 236.34/236.66 (define @t324 () (@list @t183)) % 236.34/236.66 (define @t325 () (or @t192 @t185 @t321)) % 236.34/236.66 (define @t326 () (@list false true false)) % 236.34/236.66 (define @t327 () (tptp.cons @t315 tptp.nil)) % 236.34/236.66 (define @t328 () (= tptp.nil @t327)) % 236.34/236.66 (define @t329 () (not @t328)) % 236.34/236.66 (define @t330 () (not @t321)) % 236.34/236.66 (define @t331 () (or @t330 @t329)) % 236.34/236.66 (define @t332 () (= @t254 @t327)) % 236.34/236.66 (define @t333 () (not @t332)) % 236.34/236.66 (define @t334 () (and @t263 @t329)) % 236.34/236.66 (define @t335 () (@var "BOUND_VARIABLE_9128" $$unsorted)) % 236.34/236.66 (define @t336 () (tptp.ssList (tptp.cons @t335 @t2))) % 236.34/236.66 (define @t337 () (not (tptp.ssItem @t335))) % 236.34/236.66 (define @t338 () (or @t337 @t336)) % 236.34/236.66 (define @t339 () (or @t154 @t338)) % 236.34/236.66 (define @t340 () (forall (@list @t2 @t335) @t339)) % 236.34/236.66 (define @t341 () (@list @t335)) % 236.34/236.66 (define @t342 () (forall @t341 @t339)) % 236.34/236.66 (define @t343 () (forall @t341 @t338)) % 236.34/236.66 (define @t344 () (or @t154 @t343)) % 236.34/236.66 (define @t345 () (forall @t7 (or @t304 @t48))) % 236.34/236.66 (define @t346 () (tptp.ssList @t327)) % 236.34/236.66 (define @t347 () (or @t190 @t330 @t346)) % 236.34/236.66 (define @t348 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 236.34/236.66 (define @t349 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 236.34/236.66 (define @t350 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 236.34/236.66 (define @t351 () (tptp.segmentP (tptp.app (tptp.app @t350 @t2) @t349) @t348)) % 236.34/236.66 (define @t352 () (not (tptp.ssList @t349))) % 236.34/236.66 (define @t353 () (not (tptp.ssList @t350))) % 236.34/236.66 (define @t354 () (not (tptp.segmentP @t2 @t348))) % 236.34/236.66 (define @t355 () (not (tptp.ssList @t348))) % 236.34/236.66 (define @t356 () (or @t355 @t354 @t353 @t352 @t351)) % 236.34/236.66 (define @t357 () (or @t154 @t356)) % 236.34/236.66 (define @t358 () (forall (@list @t2 @t348 @t350 @t349) @t357)) % 236.34/236.66 (define @t359 () (@list @t348 @t350 @t349)) % 236.34/236.66 (define @t360 () (forall @t359 @t357)) % 236.34/236.66 (define @t361 () (forall @t359 @t356)) % 236.34/236.66 (define @t362 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 236.34/236.66 (define @t363 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 236.34/236.66 (define @t364 () (or @t154 @t361)) % 236.34/236.66 (define @t365 () (tptp.segmentP (tptp.app (tptp.app @t363 @t2) @t362) @t1)) % 236.34/236.66 (define @t366 () (not (tptp.ssList @t362))) % 236.34/236.66 (define @t367 () (not (tptp.ssList @t363))) % 236.34/236.66 (define @t368 () (not @t30)) % 236.34/236.66 (define @t369 () (or @t165 @t368 @t367 @t366 @t365)) % 236.34/236.66 (define @t370 () (@list @t1 @t363 @t362)) % 236.34/236.66 (define @t371 () (forall @t370 @t369)) % 236.34/236.66 (define @t372 () (or @t367 @t366 @t365)) % 236.34/236.66 (define @t373 () (or @t165 @t368 @t372)) % 236.34/236.66 (define @t374 () (forall @t370 @t373)) % 236.34/236.66 (define @t375 () (@list @t363 @t362)) % 236.34/236.66 (define @t376 () (forall @t375 @t373)) % 236.34/236.66 (define @t377 () (forall @t375 @t372)) % 236.34/236.66 (define @t378 () (@var "BOUND_VARIABLE_10168" $$unsorted)) % 236.34/236.66 (define @t379 () (or @t165 @t368 @t377)) % 236.34/236.66 (define @t380 () (tptp.segmentP (tptp.app @t89 @t378) @t1)) % 236.34/236.66 (define @t381 () (not (tptp.ssList @t378))) % 236.34/236.66 (define @t382 () (or @t228 @t381 @t380)) % 236.34/236.66 (define @t383 () (@list @t12 @t378)) % 236.34/236.66 (define @t384 () (forall @t383 @t382)) % 236.34/236.66 (define @t385 () (or @t165 @t368 @t384)) % 236.34/236.66 (define @t386 () (or @t368 @t384)) % 236.34/236.66 (define @t387 () (or @t381 @t380)) % 236.34/236.66 (define @t388 () (or @t228 @t387)) % 236.34/236.66 (define @t389 () (forall @t383 @t388)) % 236.34/236.66 (define @t390 () (@list @t378)) % 236.34/236.66 (define @t391 () (forall @t390 @t388)) % 236.34/236.66 (define @t392 () (forall @t390 @t387)) % 236.34/236.66 (define @t393 () (or @t228 @t392)) % 236.34/236.66 (define @t394 () (or @t242 @t94)) % 236.34/236.66 (define @t395 () (forall @t14 @t394)) % 236.34/236.66 (define @t396 () (or @t228 @t395)) % 236.34/236.66 (define @t397 () (forall @t16 @t396)) % 236.34/236.66 (define @t398 () (or @t368 @t397)) % 236.34/236.66 (define @t399 () (or @t368 @t396)) % 236.34/236.66 (define @t400 () (or @t228 @t368 @t395)) % 236.34/236.66 (define @t401 () (or @t368 @t395)) % 236.34/236.66 (define @t402 () (or @t368 @t394)) % 236.34/236.66 (define @t403 () (or @t242 @t368 @t94)) % 236.34/236.66 (define @t404 () (tptp.app tptp.nil tptp.nil)) % 236.34/236.66 (define @t405 () (tptp.segmentP (tptp.app @t404 @t327) @t254)) % 236.34/236.66 (define @t406 () (not @t346)) % 236.34/236.66 (define @t407 () (or @t190 @t268 @t289 @t190 @t406 @t405)) % 236.34/236.66 (define @t408 () (tptp.neq @t254 @t327)) % 236.34/236.66 (define @t409 () (= @t408 @t333)) % 236.34/236.66 (define @t410 () (or @t268 @t406 @t409)) % 236.34/236.66 (define @t411 () (not @t409)) % 236.34/236.66 (define @t412 () (tptp.totalorderedP @t327)) % 236.34/236.66 (define @t413 () (or @t330 @t412)) % 236.34/236.66 (define @t414 () (@list @t327)) % 236.34/236.66 (define @t415 () (tptp.tl @t183)) % 236.34/236.66 (define @t416 () (tptp.segmentP @t327 @t327)) % 236.34/236.66 (define @t417 () (or @t406 @t416)) % 236.34/236.66 (define @t418 () (@var "BOUND_VARIABLE_9352" $$unsorted)) % 236.34/236.66 (define @t419 () (= @t2 (tptp.tl (tptp.cons @t418 @t2)))) % 236.34/236.66 (define @t420 () (not (tptp.ssItem @t418))) % 236.34/236.66 (define @t421 () (or @t420 @t419)) % 236.34/236.66 (define @t422 () (or @t154 @t421)) % 236.34/236.66 (define @t423 () (forall (@list @t2 @t418) @t422)) % 236.34/236.66 (define @t424 () (@list @t418)) % 236.34/236.66 (define @t425 () (forall @t424 @t422)) % 236.34/236.66 (define @t426 () (forall @t424 @t421)) % 236.34/236.66 (define @t427 () (or @t154 @t426)) % 236.34/236.66 (define @t428 () (= @t2 @t70)) % 236.34/236.66 (define @t429 () (forall @t7 (or @t304 @t428))) % 236.34/236.66 (define @t430 () (@var "BOUND_VARIABLE_9265" $$unsorted)) % 236.34/236.66 (define @t431 () (tptp.cons @t430 @t1)) % 236.34/236.66 (define @t432 () (not (tptp.ssItem @t430))) % 236.34/236.66 (define @t433 () (@list @t1 @t430)) % 236.34/236.66 (define @t434 () (forall @t433 (or @t165 @t432 (not (= @t431 @t183))))) % 236.34/236.66 (define @t435 () (@quantifiers_skolemize @t434 1)) % 236.34/236.66 (define @t436 () (@quantifiers_skolemize @t434 0)) % 236.34/236.66 (define @t437 () (not (= @t2 @t431))) % 236.34/236.66 (define @t438 () (or @t165 @t432 @t437)) % 236.34/236.66 (define @t439 () (not (forall @t433 @t438))) % 236.34/236.66 (define @t440 () (or @t154 @t178 @t439)) % 236.34/236.66 (define @t441 () (or @t178 @t439)) % 236.34/236.66 (define @t442 () (or @t432 @t437)) % 236.34/236.66 (define @t443 () (or @t165 @t442)) % 236.34/236.66 (define @t444 () (forall @t433 @t443)) % 236.34/236.66 (define @t445 () (@list @t430)) % 236.34/236.66 (define @t446 () (forall @t445 @t443)) % 236.34/236.66 (define @t447 () (forall @t445 @t442)) % 236.34/236.66 (define @t448 () (or @t165 @t447)) % 236.34/236.66 (define @t449 () (= @t2 @t54)) % 236.34/236.66 (define @t450 () (forall @t16 (or (not @t40) (not @t449)))) % 236.34/236.66 (define @t451 () (not @t450)) % 236.34/236.66 (define @t452 () (and @t27 @t451)) % 236.34/236.66 (define @t453 () (forall @t7 (not @t452))) % 236.34/236.66 (define @t454 () (not @t453)) % 236.34/236.66 (define @t455 () (and @t40 @t449)) % 236.34/236.66 (define @t456 () (forall @t16 (not @t455))) % 236.34/236.66 (define @t457 () (not @t456)) % 236.34/236.66 (define @t458 () (not (= @t183 @t431))) % 236.34/236.66 (define @t459 () (or @t165 @t432 @t458)) % 236.34/236.66 (define @t460 () (forall @t433 @t459)) % 236.34/236.66 (define @t461 () (not @t460)) % 236.34/236.66 (define @t462 () (or @t192 @t187 @t461)) % 236.34/236.66 (define @t463 () (forall @t9 @t440)) % 236.34/236.66 (define @t464 () (not @t434)) % 236.34/236.66 (define @t465 () (or @t192 @t185 @t464)) % 236.34/236.66 (define @t466 () (tptp.cons @t435 @t436)) % 236.34/236.66 (define @t467 () (= @t183 @t466)) % 236.34/236.66 (define @t468 () (not @t467)) % 236.34/236.66 (define @t469 () (tptp.ssItem @t435)) % 236.34/236.66 (define @t470 () (not @t469)) % 236.34/236.66 (define @t471 () (tptp.ssList @t436)) % 236.34/236.66 (define @t472 () (not @t471)) % 236.34/236.66 (define @t473 () (or @t472 @t470 @t468)) % 236.34/236.66 (define @t474 () (not @t473)) % 236.34/236.66 (define @t475 () (not (= @t466 @t183))) % 236.34/236.66 (define @t476 () (or @t472 @t470 @t475)) % 236.34/236.66 (define @t477 () (not @t476)) % 236.34/236.66 (define @t478 () (@list @t473)) % 236.34/236.66 (define @t479 () (= @t436 (tptp.tl @t466))) % 236.34/236.66 (define @t480 () (or @t472 @t470 @t479)) % 236.34/236.66 (define @t481 () (tptp.ssList @t415)) % 236.34/236.66 (define @t482 () (and @t471 @t467 @t479)) % 236.34/236.66 (define @t483 () (tptp.app tptp.nil @t327)) % 236.34/236.66 (define @t484 () (tptp.segmentP (tptp.app @t483 @t415) @t327)) % 236.34/236.66 (define @t485 () (not @t481)) % 236.34/236.66 (define @t486 () (not @t416)) % 236.34/236.66 (define @t487 () (or @t406 @t406 @t486 @t190 @t485 @t484)) % 236.34/236.66 (define @t488 () (= @t2 @t77)) % 236.34/236.66 (define @t489 () (= @t327 @t483)) % 236.34/236.66 (define @t490 () (or @t406 @t489)) % 236.34/236.66 (define @t491 () (@var "BOUND_VARIABLE_10531" $$unsorted)) % 236.34/236.66 (define @t492 () (= (tptp.cons @t491 @t2) (tptp.app (tptp.cons @t491 tptp.nil) @t2))) % 236.34/236.66 (define @t493 () (not (tptp.ssItem @t491))) % 236.34/236.66 (define @t494 () (or @t493 @t492)) % 236.34/236.66 (define @t495 () (or @t154 @t494)) % 236.34/236.66 (define @t496 () (forall (@list @t2 @t491) @t495)) % 236.34/236.66 (define @t497 () (@list @t491)) % 236.34/236.66 (define @t498 () (forall @t497 @t495)) % 236.34/236.66 (define @t499 () (forall @t497 @t494)) % 236.34/236.66 (define @t500 () (or @t154 @t499)) % 236.34/236.66 (define @t501 () (forall @t7 (or @t304 @t118))) % 236.34/236.66 (define @t502 () (tptp.app @t327 @t415)) % 236.34/236.66 (define @t503 () (tptp.cons @t315 @t415)) % 236.34/236.66 (define @t504 () (= @t503 @t502)) % 236.34/236.66 (define @t505 () (or @t485 @t330 @t504)) % 236.34/236.66 (define @t506 () (= @t2 @t113)) % 236.34/236.66 (define @t507 () (or @t154 @t178 @t506)) % 236.34/236.66 (define @t508 () (=> @t318 @t506)) % 236.34/236.66 (define @t509 () (= @t183 @t503)) % 236.34/236.66 (define @t510 () (or @t192 @t187 @t509)) % 236.34/236.66 (define @t511 () (forall @t9 @t507)) % 236.34/236.66 (define @t512 () (or @t192 @t185 @t509)) % 236.34/236.66 (define @t513 () (tptp.segmentP @t183 @t327)) % 236.34/236.66 (define @t514 () (and @t509 @t504 @t489 @t484)) % 236.34/236.66 (define @t515 () (not @t489)) % 236.34/236.66 (define @t516 () (@list false false false false)) % 236.34/236.66 (define @t517 () (not @t412)) % 236.34/236.66 (define @t518 () (tptp.segmentP @t327 @t254)) % 236.34/236.66 (define @t519 () (not @t518)) % 236.34/236.66 (define @t520 () (not @t513)) % 236.34/236.66 (define @t521 () (not @t408)) % 236.34/236.66 (define @t522 () (or @t406 @t521 @t520 @t519 @t517)) % 236.34/236.66 (define @t523 () (= tptp.nil @t404)) % 236.34/236.66 (define @t524 () (or @t190 @t523)) % 236.34/236.66 (define @t525 () (and @t523 @t489 @t405)) % 236.34/236.66 (define @t526 () (not @t301)) % 236.34/236.66 (define @t527 () (or @t268 @t292)) % 236.34/236.66 (define @t528 () (not @t527)) % 236.34/236.66 (define @t529 () (forall @t9 (or @t154 @t92))) % 236.34/236.66 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 236.34/236.66 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 236.34/236.66 (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))))))))))) % 236.34/236.66 (assume @p4 @t24) % 236.34/236.66 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 236.34/236.66 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 236.34/236.66 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 236.34/236.66 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 236.34/236.66 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 236.34/236.66 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 236.34/236.66 (assume @p11 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 236.34/236.66 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 236.34/236.66 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t43)))))))))))))))) % 236.34/236.66 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t43))))))))))))) % 236.34/236.66 (assume @p15 @t46) % 236.34/236.66 (assume @p16 @t51) % 236.34/236.66 (assume @p17 @t52) % 236.34/236.66 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 236.34/236.66 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 236.34/236.66 (assume @p20 @t62) % 236.34/236.66 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 236.34/236.66 (assume @p22 @t68) % 236.34/236.66 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 236.34/236.66 (assume @p24 (forall @t9 (=> @t17 (=> @t65 (tptp.ssList @t69))))) % 236.34/236.66 (assume @p25 @t74) % 236.34/236.66 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t75)))))) % 236.34/236.66 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t76) (tptp.app @t54 @t2))))))))) % 236.34/236.66 (assume @p28 @t79) % 236.34/236.66 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t81 @t80) @t3)))))) % 236.34/236.66 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t32) (tptp.leq @t2 @t12))))))))) % 236.34/236.66 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 236.34/236.66 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t82 @t80)))))) % 236.34/236.66 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (not @t83))))))) % 236.34/236.66 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t84 @t41) @t85)))))))) % 236.34/236.66 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t86 @t83)))))) % 236.34/236.66 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t87))))))))) % 236.34/236.66 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t87))))))))) % 236.34/236.66 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 236.34/236.66 (assume @p39 (not @t88)) % 236.34/236.66 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 236.34/236.66 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 236.34/236.66 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 236.34/236.66 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 236.34/236.66 (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)))))))))))) % 236.34/236.66 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 236.34/236.66 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59)))) % 236.34/236.66 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 236.34/236.66 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 236.34/236.66 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 236.34/236.66 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t89 @t1))))))))) % 236.34/236.66 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 236.34/236.66 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59)))) % 236.34/236.66 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t90) (tptp.segmentP @t2 @t12))))))))) % 236.34/236.66 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 @t91) @t3)))))) % 236.34/236.66 (assume @p55 @t93) % 236.34/236.66 (assume @p56 @t102) % 236.34/236.66 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 236.34/236.66 (assume @p58 @t105) % 236.34/236.66 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t106)))) % 236.34/236.66 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 236.34/236.66 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t106)))) % 236.34/236.66 (assume @p62 (tptp.totalorderP tptp.nil)) % 236.34/236.66 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t106)))) % 236.34/236.66 (assume @p64 (tptp.strictorderP tptp.nil)) % 236.34/236.66 (assume @p65 @t108) % 236.34/236.66 (assume @p66 (tptp.totalorderedP tptp.nil)) % 236.34/236.66 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t112) (or @t110 (and @t111 (tptp.totalorderedP @t1) (tptp.leq @t2 @t109))))))))) % 236.34/236.66 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t106)))) % 236.34/236.66 (assume @p69 (tptp.strictorderedP tptp.nil)) % 236.34/236.66 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t112) (or @t110 (and @t111 (tptp.strictorderedP @t1) (tptp.lt @t2 @t109))))))))) % 236.34/236.66 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t106)))) % 236.34/236.66 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 236.34/236.66 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t106)))) % 236.34/236.66 (assume @p74 (tptp.equalelemsP tptp.nil)) % 236.34/236.66 (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1))))))) % 236.34/236.66 (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t69 @t1))))))) % 236.34/236.66 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t111 @t65 (= @t109 @t63) (= (tptp.tl @t1) @t69)) @t53)))))) % 236.34/236.66 (assume @p78 @t116) % 236.34/236.66 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t75) @t117)))))))) % 236.34/236.66 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t76) @t117)))))))) % 236.34/236.66 (assume @p81 @t121) % 236.34/236.66 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t75 @t12) (tptp.app @t2 @t25))))))))) % 236.34/236.66 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t75) (and @t110 @t59))))))) % 236.34/236.66 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 236.34/236.66 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.hd @t75) @t63))))))) % 236.34/236.66 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t65 (= (tptp.tl @t75) (tptp.app @t69 @t1)))))))) % 236.34/236.66 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t82 (tptp.geq @t1 @t2)) @t3)))))) % 236.34/236.66 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t82 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 236.34/236.66 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 236.34/236.66 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 236.34/236.66 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t81 @t41) @t85)))))))) % 236.34/236.66 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (or @t3 @t84))))))) % 236.34/236.66 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t84 (and @t4 @t81))))))) % 236.34/236.66 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t86 (not (tptp.gt @t1 @t2)))))))) % 236.34/236.66 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t86 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 236.34/236.66 (assume @p96 @t150) % 236.34/236.66 (assume @p97 true) % 236.34/236.66 (step @p98 :rule bool-impl-elim :args (@t17 @t92)) % 236.34/236.66 (step @p99 :rule cong :premises (@p98) :args (@t93)) % 236.34/236.66 (step @p100 :rule eq_resolve :premises (@p55 @p99)) % 236.34/236.66 (step @p101 :rule aci_norm :args ((= @t157 @t155))) % 236.34/236.66 (step @p102 :rule cong :premises (@p101) :args (@t159)) % 236.34/236.66 (step @p103 :rule quant-merge-prenex :args ((= (forall @t9 @t161) @t159))) % 236.34/236.66 (step @p104 :rule alpha_equiv :args (@t162 (@list @t151) @t163)) % 236.34/236.66 (step @p105 :rule refl :args (@t154)) % 236.34/236.66 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t164)) % 236.34/236.66 (step @p107 :rule quant-miniscope-or :args ((= @t161 @t164))) % 236.34/236.66 (step @p108 :rule trans :premises (@p107 @p106)) % 236.34/236.66 (step @p109 :rule symm :premises (@p108)) % 236.34/236.66 (step @p110 :rule cong :premises (@p109) :args ((forall @t9 (or @t154 @t166)))) % 236.34/236.66 (step @p111 :rule trans :premises (@p110 @p103)) % 236.34/236.66 (step @p112 :rule trans :premises (@p111 @p102)) % 236.34/236.66 (step @p113 :rule bool-impl-elim :args (@t17 @t166)) % 236.34/236.66 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t166)))) % 236.34/236.66 (step @p115 :rule trans :premises (@p114 @p112)) % 236.34/236.66 (step @p116 :rule bool-impl-elim :args (@t27 @t5)) % 236.34/236.66 (step @p117 :rule cong :premises (@p116) :args (@t44)) % 236.34/236.66 (step @p118 :rule refl :args (@t17)) % 236.34/236.66 (step @p119 :rule cong :premises (@p118 @p117) :args (@t45)) % 236.34/236.66 (step @p120 :rule cong :premises (@p119) :args (@t46)) % 236.34/236.66 (step @p121 :rule trans :premises (@p120 @p115)) % 236.34/236.66 (step @p122 :rule eq_resolve :premises (@p15 @p121)) % 236.34/236.66 (step @p123 :rule eq-symm :args (@t184 @t186)) % 236.34/236.66 (step @p124 :rule eq-symm :args (@t183 tptp.nil)) % 236.34/236.66 (step @p125 :rule cong :premises (@p124) :args (@t188)) % 236.34/236.66 (step @p126 :rule refl :args (@t184)) % 236.34/236.66 (step @p127 :rule cong :premises (@p126 @p125) :args (@t189)) % 236.34/236.66 (step @p128 :rule trans :premises (@p127 @p123)) % 236.34/236.66 (step @p129 :rule refl :args (@t190)) % 236.34/236.66 (step @p130 :rule refl :args (@t192)) % 236.34/236.66 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t193)) % 236.34/236.66 (step @p132 :rule refl :args (@t194)) % 236.34/236.66 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t194 @t193))) % 236.34/236.66 (assume-push @p997 @t194) % 236.34/236.66 (step @p135 :rule instantiate :premises (@p122) :args ((@list @t183 tptp.nil))) % 236.34/236.66 (step-pop @p998 :rule scope :premises (@p135)) % 236.34/236.66 (step @p136 :rule process_scope :premises (@p998) :args (@t193)) % 236.34/236.66 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 236.34/236.66 (step @p139 :rule implies_elim :premises (@p138)) % 236.34/236.66 (step @p140 :rule chain_m_resolution :premises (@p139 @p122) :args (@t196 @t197 @t198)) % 236.34/236.66 (step @p141 :rule refl :args (@t172)) % 236.34/236.66 (step @p142 :rule refl :args (@t173)) % 236.34/236.66 (step @p143 :rule refl :args (@t177)) % 236.34/236.66 (step @p144 :rule refl :args (@t178)) % 236.34/236.66 (step @p145 :rule eq-symm :args (@t169 tptp.nil)) % 236.34/236.66 (step @p146 :rule cong :premises (@p145) :args (@t199)) % 236.34/236.66 (step @p147 :rule nary_cong :premises (@p146 @p144) :args (@t200)) % 236.34/236.66 (step @p148 :rule nary_cong :premises (@p147 @p143) :args (@t201)) % 236.34/236.66 (step @p149 :rule refl :args (@t179)) % 236.34/236.66 (step @p150 :rule refl :args (@t180)) % 236.34/236.66 (step @p151 :rule refl :args (@t154)) % 236.34/236.66 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148 @p142 @p141) :args (@t202)) % 236.34/236.66 (step @p153 :rule aci_norm :args ((= @t204 @t202))) % 236.34/236.66 (step @p154 :rule trans :premises (@p153 @p152)) % 236.34/236.66 (step @p155 :rule cong :premises (@p154) :args (@t205)) % 236.34/236.66 (step @p156 :rule quant-merge-prenex :args ((= (forall @t9 @t207) @t205))) % 236.34/236.66 (step @p157 :rule alpha_equiv :args (@t208 (@list @t169) @t163)) % 236.34/236.66 (step @p158 :rule refl 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(assume-push @p1034 @t467) % 236.34/236.66 (step @p823 :rule true_intro :premises (@p1029)) % 236.34/236.66 (step @p824 :rule symm :premises (@p1031)) % 236.34/236.66 (step @p825 :rule cong :premises (@p1030) :args (@t415)) % 236.34/236.66 (step @p826 :rule trans :premises (@p825 @p824)) % 236.34/236.66 (step @p827 :rule cong :premises (@p826) :args (@t481)) % 236.34/236.66 (step @p828 :rule trans :premises (@p827 @p823)) % 236.34/236.66 (step @p829 :rule true_elim :premises (@p828)) % 236.34/236.66 (step-pop @p1035 :rule scope :premises (@p829)) % 236.34/236.66 (step-pop @p1036 :rule scope :premises (@p1035)) % 236.34/236.66 (step-pop @p1037 :rule scope :premises (@p1036)) % 236.34/236.66 (step @p830 :rule process_scope :premises (@p1037) :args (@t481)) % 236.34/236.66 (step @p834 :rule and_intro :premises (@p1029 @p1031 @p1030)) % 236.34/236.66 (step @p835 :rule modus_ponens :premises (@p834 @p830)) % 236.34/236.66 (step-pop @p1038 :rule scope :premises (@p835)) % 236.34/236.66 (step-pop @p1039 :rule scope :premises (@p1038)) % 236.34/236.66 (step-pop @p1040 :rule scope :premises (@p1039)) % 236.34/236.66 (step @p836 :rule process_scope :premises (@p1040) :args (@t481)) % 236.34/236.66 (step @p840 :rule implies_elim :premises (@p836)) % 236.34/236.66 (step @p841 :rule cnf_and_neg :args (@t482)) % 236.34/236.66 (step @p842 :rule resolution :premises (@p841 @p840) :args (true @t482)) % 236.34/236.66 (step @p843 :rule chain_m_resolution :premises (@p842 @p807 @p816 @p810) :args (@t481 @t279 (@list @t471 @t467 @t479))) % 236.34/236.66 (step @p844 :rule cnf_or_pos :args (@t487)) % 236.34/236.66 (step @p845 :rule factoring :premises (@p844)) % 236.34/236.66 (step @p846 :rule reordering :premises (@p845) :args ((or @t190 @t485 @t406 @t486 @t484 (not @t487)))) % 236.34/236.66 (step @p847 :rule chain_m_resolution :premises (@p846 @p17 @p843 @p578 @p689 @p685) :args (@t484 (@list false false false false false) (@list @t52 @t481 @t346 @t416 @t487))) % 236.34/236.66 (step @p848 :rule bool-impl-elim :args (@t17 @t488)) % 236.34/236.66 (step @p849 :rule cong :premises (@p848) :args ((forall @t9 (=> @t17 @t488)))) % 236.34/236.66 (step @p850 :rule eq-symm :args (@t77 @t2)) % 236.34/236.66 (step @p851 :rule cong :premises (@p118 @p850) :args (@t78)) % 236.34/236.66 (step @p852 :rule cong :premises (@p851) :args (@t79)) % 236.34/236.66 (step @p853 :rule trans :premises (@p852 @p849)) % 236.34/236.66 (step @p854 :rule eq_resolve :premises (@p28 @p853)) % 236.34/236.66 (step @p855 :rule instantiate :premises (@p854) :args (@t414)) % 236.34/236.66 (step @p856 :rule cnf_or_pos :args (@t490)) % 236.34/236.66 (step @p857 :rule reordering :premises (@p856) :args ((or @t406 @t489 (not @t490)))) % 236.34/236.66 (step @p858 :rule chain_m_resolution :premises (@p857 @p578 @p855) :args (@t489 @t287 (@list @t346 @t490))) % 236.34/236.66 (step @p859 :rule aci_norm :args ((= @t495 (or @t154 @t493 @t492)))) % 236.34/236.66 (step @p860 :rule cong :premises (@p859) :args (@t496)) % 236.34/236.66 (step @p861 :rule quant-merge-prenex :args ((= (forall @t9 @t498) @t496))) % 236.34/236.66 (step @p862 :rule alpha_equiv :args (@t499 (@list @t491) @t163)) % 236.34/236.66 (step @p863 :rule nary_cong :premises (@p105 @p862) :args (@t500)) % 236.34/236.66 (step @p864 :rule quant-miniscope-or :args ((= @t498 @t500))) % 236.34/236.66 (step @p865 :rule trans :premises (@p864 @p863)) % 236.34/236.66 (step @p866 :rule symm :premises (@p865)) % 236.34/236.66 (step @p867 :rule cong :premises (@p866) :args ((forall @t9 (or @t154 @t501)))) % 236.34/236.66 (step @p868 :rule trans :premises (@p867 @p861)) % 236.34/236.66 (step @p869 :rule trans :premises (@p868 @p860)) % 236.34/236.66 (step @p870 :rule bool-impl-elim :args (@t17 @t501)) % 236.34/236.66 (step @p871 :rule cong :premises (@p870) :args ((forall @t9 (=> @t17 @t501)))) % 236.34/236.66 (step @p872 :rule trans :premises (@p871 @p869)) % 236.34/236.66 (step @p873 :rule bool-impl-elim :args (@t6 @t118)) % 236.34/236.66 (step @p874 :rule cong :premises (@p873) :args (@t119)) % 236.34/236.66 (step @p875 :rule cong :premises (@p118 @p874) :args (@t120)) % 236.34/236.66 (step @p876 :rule cong :premises (@p875) :args (@t121)) % 236.34/236.66 (step @p877 :rule trans :premises (@p876 @p872)) % 236.34/236.66 (step @p878 :rule eq_resolve :premises (@p81 @p877)) % 236.34/236.66 (step @p879 :rule instantiate :premises (@p878) :args ((@list @t415 @t315))) % 236.34/236.66 (step @p880 :rule cnf_or_pos :args (@t505)) % 236.34/236.66 (step @p881 :rule reordering :premises (@p880) :args ((or @t330 @t485 @t504 (not @t505)))) % 236.34/236.66 (step @p882 :rule chain_m_resolution :premises (@p881 @p525 @p843 @p879) :args (@t504 @t279 (@list @t321 @t481 @t505))) % 236.34/236.66 (step @p883 :rule aci_norm :args ((= (or @t154 (or @t178 @t506)) @t507))) % 236.34/236.66 (step @p884 :rule refl :args (@t506)) % 236.34/236.66 (step @p885 :rule nary_cong :premises (@p496 @p884) :args ((or @t319 @t506))) % 236.34/236.66 (step @p886 :rule bool-impl-elim :args (@t318 @t506)) % 236.34/236.66 (step @p887 :rule trans :premises (@p886 @p885)) % 236.34/236.66 (step @p888 :rule nary_cong :premises (@p105 @p887) :args ((or @t154 @t508))) % 236.34/236.66 (step @p889 :rule trans :premises (@p888 @p883)) % 236.34/236.66 (step @p890 :rule bool-impl-elim :args (@t17 @t508)) % 236.34/236.66 (step @p891 :rule trans :premises (@p890 @p889)) % 236.34/236.66 (step @p892 :rule cong :premises (@p891) :args ((forall @t9 (=> @t17 @t508)))) % 236.34/236.66 (step @p893 :rule eq-symm :args (@t113 @t2)) % 236.34/236.66 (step @p894 :rule cong :premises (@p506 @p893) :args (@t114)) % 236.34/236.66 (step @p895 :rule cong :premises (@p118 @p894) :args (@t115)) % 236.34/236.66 (step @p896 :rule cong :premises (@p895) :args (@t116)) % 236.34/236.66 (step @p897 :rule trans :premises (@p896 @p892)) % 236.34/236.66 (step @p898 :rule eq_resolve :premises (@p78 @p897)) % 236.34/236.66 (step @p899 :rule refl :args (@t509)) % 236.34/236.66 (step @p900 :rule nary_cong :premises (@p130 @p124 @p899) :args (@t510)) % 236.34/236.66 (step @p901 :rule refl :args (@t511)) % 236.34/236.66 (step @p902 :rule cong :premises (@p901 @p900) :args ((=> @t511 @t510))) % 236.34/236.66 (assume-push @p1041 @t511) % 236.34/236.66 (step @p904 :rule instantiate :premises (@p898) :args (@t324)) % 236.34/236.66 (step-pop @p1042 :rule scope :premises (@p904)) % 236.34/236.66 (step @p905 :rule process_scope :premises (@p1042) :args (@t510)) % 236.34/236.66 (step @p907 :rule eq_resolve :premises (@p905 @p902)) % 236.34/236.66 (step @p908 :rule implies_elim :premises (@p907)) % 236.34/236.66 (step @p909 :rule chain_m_resolution :premises (@p908 @p898) :args (@t512 @t197 (@list @t511))) % 236.34/236.66 (step @p910 :rule cnf_or_pos :args (@t512)) % 236.34/236.66 (step @p911 :rule reordering :premises (@p910) :args ((or @t192 @t185 @t509 (not @t512)))) % 236.34/236.66 (step @p912 :rule chain_m_resolution :premises (@p911 @p345 @p423 @p909) :args (@t509 @t326 (@list @t191 @t185 @t512))) % 236.34/236.66 (assume-push @p1043 @t509) % 236.34/236.66 (assume-push @p1044 @t504) % 236.34/236.66 (assume-push @p1045 @t489) % 236.34/236.66 (assume-push @p1046 @t484) % 236.34/236.66 (assume-push @p1047 @t484) % 236.34/236.66 (assume-push @p1048 @t489) % 236.34/236.66 (assume-push @p1049 @t504) % 236.34/236.66 (assume-push @p1050 @t509) % 236.34/236.66 (step @p921 :rule true_intro :premises (@p1046)) % 236.34/236.66 (step @p538 :rule refl :args (@t327)) % 236.34/236.66 (step @p922 :rule refl :args (@t415)) % 236.34/236.66 (step @p923 :rule cong :premises (@p1045 @p922) :args (@t502)) % 236.34/236.66 (step @p924 :rule trans :premises (@p1043 @p1044 @p923)) % 236.34/236.66 (step @p925 :rule cong :premises (@p924 @p538) :args (@t513)) % 236.34/236.66 (step @p926 :rule trans :premises (@p925 @p921)) % 236.34/236.66 (step @p927 :rule true_elim :premises (@p926)) % 236.34/236.66 (step-pop @p1051 :rule scope :premises (@p927)) % 236.34/236.66 (step-pop @p1052 :rule scope :premises (@p1051)) % 236.34/236.66 (step-pop @p1053 :rule scope :premises (@p1052)) % 236.34/236.66 (step-pop @p1054 :rule scope :premises (@p1053)) % 236.34/236.66 (step @p928 :rule process_scope :premises (@p1054) :args (@t513)) % 236.34/236.66 (step @p933 :rule and_intro :premises (@p1046 @p1045 @p1044 @p1043)) % 236.34/236.66 (step @p934 :rule modus_ponens :premises (@p933 @p928)) % 236.34/236.66 (step-pop @p1055 :rule scope :premises (@p934)) % 236.34/236.66 (step-pop @p1056 :rule scope :premises (@p1055)) % 236.34/236.66 (step-pop @p1057 :rule scope :premises (@p1056)) % 236.34/236.66 (step-pop @p1058 :rule scope :premises (@p1057)) % 236.34/236.66 (step @p935 :rule process_scope :premises (@p1058) :args (@t513)) % 236.34/236.66 (step @p940 :rule implies_elim :premises (@p935)) % 236.34/236.66 (step @p941 :rule cnf_and_neg :args (@t514)) % 236.34/236.66 (step @p942 :rule resolution :premises (@p941 @p940) :args (true @t514)) % 236.34/236.67 (step @p943 :rule reordering :premises (@p942) :args ((or (not @t509) (not @t504) @t513 @t515 (not @t484)))) % 236.34/236.67 (step @p944 :rule chain_m_resolution :premises (@p943 @p912 @p882 @p858 @p847) :args (@t513 @t516 (@list @t509 @t504 @t489 @t484))) % 236.34/236.67 (step @p945 :rule cnf_or_pos :args (@t522)) % 236.34/236.67 (step @p946 :rule reordering :premises (@p945) :args ((or @t517 @t406 @t521 @t520 @t519 (not @t522)))) % 236.34/236.67 (step @p947 :rule instantiate :premises (@p854) :args (@t309)) % 236.34/236.67 (step @p948 :rule cnf_or_pos :args (@t524)) % 236.34/236.67 (step @p949 :rule reordering :premises (@p948) :args ((or @t190 @t523 (not @t524)))) % 236.34/236.67 (step @p950 :rule chain_m_resolution :premises (@p949 @p17 @p947) :args (@t523 @t287 (@list @t52 @t524))) % 236.34/236.67 (assume-push @p1059 @t523) % 236.34/236.67 (assume-push @p1060 @t489) % 236.34/236.67 (assume-push @p1061 @t405) % 236.34/236.67 (assume-push @p1062 @t405) % 236.34/236.67 (assume-push @p1063 @t523) % 236.34/236.67 (assume-push @p1064 @t489) % 236.34/236.67 (step @p957 :rule true_intro :premises (@p1061)) % 236.34/236.67 (step @p408 :rule refl :args (@t254)) % 236.34/236.67 (step @p538 :rule refl :args (@t327)) % 236.34/236.67 (step @p958 :rule cong :premises (@p950 @p538) :args (@t483)) % 236.34/236.67 (step @p959 :rule trans :premises (@p1060 @p958)) % 236.34/236.67 (step @p960 :rule cong :premises (@p959 @p408) :args (@t518)) % 236.34/236.67 (step @p961 :rule trans :premises (@p960 @p957)) % 236.34/236.67 (step @p962 :rule true_elim :premises (@p961)) % 236.34/236.67 (step-pop @p1065 :rule scope :premises (@p962)) % 236.34/236.67 (step-pop @p1066 :rule scope :premises (@p1065)) % 236.34/236.67 (step-pop @p1067 :rule scope :premises (@p1066)) % 236.34/236.67 (step @p963 :rule process_scope :premises (@p1067) :args (@t518)) % 236.34/236.67 (step @p967 :rule and_intro :premises (@p1061 @p950 @p1060)) % 236.34/236.67 (step @p968 :rule modus_ponens :premises (@p967 @p963)) % 236.34/236.67 (step-pop @p1068 :rule scope :premises (@p968)) % 236.34/236.67 (step-pop @p1069 :rule scope :premises (@p1068)) % 236.34/236.67 (step-pop @p1070 :rule scope :premises (@p1069)) % 236.34/236.67 (step @p969 :rule process_scope :premises (@p1070) :args (@t518)) % 236.34/236.67 (step @p973 :rule implies_elim :premises (@p969)) % 236.34/236.67 (step @p974 :rule cnf_and_neg :args (@t525)) % 236.34/236.67 (step @p975 :rule resolution :premises (@p974 @p973) :args (true @t525)) % 236.34/236.67 (step @p976 :rule reordering :premises (@p975) :args ((or (not @t523) @t518 @t515 (not @t405)))) % 236.34/236.67 (step @p977 :rule chain_m_resolution :premises (@p976 @p858 @p950 @p946 @p578 @p944 @p684 @p677 @p670 @p663 @p659 @p656 @p578 @p391 @p17 @p554 @p528 @p462 @p394) :args (@t297 (@list false false true false false false false false false false false false false false true true false false) (@list @t489 @t523 @t518 @t346 @t513 @t522 @t412 @t408 @t409 @t405 @t407 @t346 @t267 @t52 @t332 @t328 @t281 @t285))) % 236.34/236.67 (step @p978 :rule bool-double-not-elim :args (@t263)) % 236.34/236.67 (step @p979 :rule refl :args (@t526)) % 236.34/236.67 (step @p980 :rule nary_cong :premises (@p979 @p978 @p446) :args ((or @t526 (not @t297) @t294))) % 236.34/236.67 (step @p981 :rule cnf_equiv_pos1 :args (@t301)) % 236.34/236.67 (step @p982 :rule eq_resolve :premises (@p981 @p980)) % 236.34/236.67 (step @p983 :rule reordering :premises (@p982) :args ((or @t263 @t294 @t526))) % 236.34/236.67 (step @p984 :rule chain_m_resolution :premises (@p983 @p977 @p460) :args (@t294 @t291 (@list @t263 @t301))) % 236.34/236.67 (step @p985 :rule cnf_or_pos :args (@t296)) % 236.34/236.67 (step @p986 :rule reordering :premises (@p985) :args ((or @t268 @t258 @t295 @t293 (not @t296)))) % 236.34/236.67 (step @p987 :rule chain_m_resolution :premises (@p986 @p391 @p402 @p984 @p443) :args (@t293 @t516 (@list @t267 @t257 @t294 @t296))) % 236.34/236.67 (step @p988 :rule cnf_or_pos :args (@t527)) % 236.34/236.67 (step @p989 :rule reordering :premises (@p988) :args ((or @t268 @t292 @t528))) % 236.34/236.67 (step @p990 :rule chain_m_resolution :premises (@p989 @p391 @p987) :args (@t528 (@list false true) (@list @t267 @t292))) % 236.34/236.67 (assume-push @p1071 @t529) % 236.34/236.67 (step @p992 :rule instantiate :premises (@p100) :args (@t284)) % 236.34/236.67 (step-pop @p1072 :rule scope :premises (@p992)) % 236.34/236.67 (step @p993 :rule process_scope :premises (@p1072) :args (@t527)) % 236.34/236.67 (step @p995 :rule implies_elim :premises (@p993)) % 236.34/236.67 (step @p996 false :rule chain_m_resolution :premises (@p995 @p990 @p100) :args (false @t291 (@list @t527 @t529))) % 236.34/236.67 ) % 236.34/236.67 % SZS output end Proof % 236.34/236.67 % cvc5 exiting %------------------------------------------------------------------------------