%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC073+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 : n018.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 08:57:56 AM UTC 2026 % Result : Theorem 114.42s 114.69s % Output : Proof 114.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC073+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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:12:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 114.42/114.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.42/114.69 --- Run --no-e-matching --full-saturate-quant at 6... % 114.42/114.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.42/114.69 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.42/114.69 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.42/114.69 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.42/114.69 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.42/114.69 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.42/114.69 % SZS status Theorem % 114.42/114.69 % SZS output start Proof % 114.42/114.69 ( % 114.42/114.69 (declare-sort $$unsorted 0) % 114.42/114.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 114.42/114.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 114.42/114.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 114.42/114.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 114.42/114.69 (declare-const tptp.nil $$unsorted) % 114.42/114.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 114.42/114.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 114.42/114.69 (define @t1 () (@var "V" $$unsorted)) % 114.42/114.69 (define @t2 () (@var "U" $$unsorted)) % 114.42/114.69 (define @t3 () (= @t2 @t1)) % 114.42/114.69 (define @t4 () (not @t3)) % 114.42/114.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 114.42/114.69 (define @t6 () (tptp.ssItem @t1)) % 114.42/114.69 (define @t7 () (@list @t1)) % 114.42/114.69 (define @t8 () (tptp.ssItem @t2)) % 114.42/114.69 (define @t9 () (@list @t2)) % 114.42/114.69 (define @t10 () (@var "X" $$unsorted)) % 114.42/114.69 (define @t11 () (tptp.cons @t1 @t10)) % 114.42/114.69 (define @t12 () (@var "W" $$unsorted)) % 114.42/114.69 (define @t13 () (tptp.ssList @t10)) % 114.42/114.69 (define @t14 () (@list @t10)) % 114.42/114.69 (define @t15 () (tptp.ssList @t12)) % 114.42/114.69 (define @t16 () (@list @t12)) % 114.42/114.69 (define @t17 () (tptp.ssList @t2)) % 114.42/114.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 114.42/114.69 (define @t19 () (tptp.app @t1 @t12)) % 114.42/114.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 114.42/114.69 (define @t21 () (tptp.ssList @t1)) % 114.42/114.69 (define @t22 () (tptp.app @t12 @t1)) % 114.42/114.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 114.42/114.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 114.42/114.69 (define @t25 () (tptp.leq @t12 @t1)) % 114.42/114.69 (define @t26 () (tptp.leq @t1 @t12)) % 114.42/114.69 (define @t27 () (@var "Z" $$unsorted)) % 114.42/114.69 (define @t28 () (@var "Y" $$unsorted)) % 114.42/114.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 114.42/114.69 (define @t30 () (tptp.ssList @t27)) % 114.42/114.69 (define @t31 () (@list @t27)) % 114.42/114.69 (define @t32 () (tptp.ssList @t28)) % 114.42/114.69 (define @t33 () (@list @t28)) % 114.42/114.69 (define @t34 () (tptp.ssItem @t12)) % 114.42/114.69 (define @t35 () (tptp.lt @t1 @t12)) % 114.42/114.69 (define @t36 () (= @t1 @t12)) % 114.42/114.69 (define @t37 () (forall @t7 (=> @t21 @t5))) % 114.42/114.69 (define @t38 () (=> @t17 @t37)) % 114.42/114.69 (define @t39 () (forall @t9 @t38)) % 114.42/114.69 (define @t40 () (tptp.cons @t1 @t2)) % 114.42/114.69 (define @t41 () (tptp.ssList @t40)) % 114.42/114.69 (define @t42 () (forall @t7 (=> @t6 @t41))) % 114.42/114.69 (define @t43 () (=> @t17 @t42)) % 114.42/114.69 (define @t44 () (forall @t9 @t43)) % 114.42/114.69 (define @t45 () (tptp.ssList tptp.nil)) % 114.42/114.69 (define @t46 () (= @t1 @t2)) % 114.42/114.69 (define @t47 () (tptp.cons @t12 @t1)) % 114.42/114.69 (define @t48 () (= tptp.nil @t2)) % 114.42/114.69 (define @t49 () (tptp.hd @t2)) % 114.42/114.69 (define @t50 () (tptp.ssItem @t49)) % 114.42/114.69 (define @t51 () (not @t48)) % 114.42/114.69 (define @t52 () (=> @t51 @t50)) % 114.42/114.69 (define @t53 () (=> @t17 @t52)) % 114.42/114.69 (define @t54 () (forall @t9 @t53)) % 114.42/114.69 (define @t55 () (tptp.tl @t2)) % 114.42/114.69 (define @t56 () (tptp.ssList @t55)) % 114.42/114.69 (define @t57 () (=> @t51 @t56)) % 114.42/114.69 (define @t58 () (=> @t17 @t57)) % 114.42/114.69 (define @t59 () (forall @t9 @t58)) % 114.42/114.69 (define @t60 () (tptp.app @t2 @t1)) % 114.42/114.69 (define @t61 () (tptp.ssList @t60)) % 114.42/114.69 (define @t62 () (forall @t7 (=> @t21 @t61))) % 114.42/114.69 (define @t63 () (=> @t17 @t62)) % 114.42/114.69 (define @t64 () (forall @t9 @t63)) % 114.42/114.69 (define @t65 () (tptp.app @t1 @t2)) % 114.42/114.69 (define @t66 () (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))) % 114.42/114.69 (define @t67 () (forall @t16 (=> @t34 @t66))) % 114.42/114.69 (define @t68 () (=> @t21 @t67)) % 114.42/114.69 (define @t69 () (forall @t7 @t68)) % 114.42/114.69 (define @t70 () (=> @t17 @t69)) % 114.42/114.69 (define @t71 () (forall @t9 @t70)) % 114.42/114.69 (define @t72 () (tptp.app tptp.nil @t2)) % 114.42/114.69 (define @t73 () (=> @t17 (= @t72 @t2))) % 114.42/114.69 (define @t74 () (forall @t9 @t73)) % 114.42/114.69 (define @t75 () (tptp.leq @t1 @t2)) % 114.42/114.69 (define @t76 () (tptp.leq @t2 @t1)) % 114.42/114.69 (define @t77 () (tptp.geq @t2 @t1)) % 114.42/114.69 (define @t78 () (tptp.lt @t1 @t2)) % 114.42/114.69 (define @t79 () (tptp.lt @t2 @t1)) % 114.42/114.69 (define @t80 () (tptp.lt @t2 @t12)) % 114.42/114.69 (define @t81 () (tptp.gt @t2 @t1)) % 114.42/114.69 (define @t82 () (tptp.memberP @t12 @t2)) % 114.42/114.69 (define @t83 () (tptp.app @t12 @t2)) % 114.42/114.69 (define @t84 () (tptp.segmentP @t2 @t2)) % 114.42/114.69 (define @t85 () (forall @t9 (=> @t17 @t84))) % 114.42/114.69 (define @t86 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 114.42/114.69 (define @t87 () (=> @t24 @t86)) % 114.42/114.69 (define @t88 () (forall @t14 (=> @t13 @t87))) % 114.42/114.69 (define @t89 () (=> @t15 @t88)) % 114.42/114.69 (define @t90 () (forall @t16 @t89)) % 114.42/114.69 (define @t91 () (=> @t21 @t90)) % 114.42/114.69 (define @t92 () (forall @t7 @t91)) % 114.42/114.69 (define @t93 () (=> @t17 @t92)) % 114.42/114.69 (define @t94 () (forall @t9 @t93)) % 114.42/114.69 (define @t95 () (tptp.cons @t2 tptp.nil)) % 114.42/114.69 (define @t96 () (tptp.hd @t1)) % 114.42/114.69 (define @t97 () (= tptp.nil @t1)) % 114.42/114.69 (define @t98 () (not @t97)) % 114.42/114.69 (define @t99 () (tptp.cons @t2 @t1)) % 114.42/114.69 (define @t100 () (tptp.cons @t49 @t55)) % 114.42/114.69 (define @t101 () (=> @t51 (= @t100 @t2))) % 114.42/114.69 (define @t102 () (=> @t17 @t101)) % 114.42/114.69 (define @t103 () (forall @t9 @t102)) % 114.42/114.69 (define @t104 () (= @t12 @t2)) % 114.42/114.69 (define @t105 () (and @t97 @t48)) % 114.42/114.69 (define @t106 () (tptp.app @t2 tptp.nil)) % 114.42/114.69 (define @t107 () (=> @t17 (= @t106 @t2))) % 114.42/114.69 (define @t108 () (forall @t9 @t107)) % 114.42/114.69 (define @t109 () (tptp.neq tptp.nil @t12)) % 114.42/114.69 (define @t110 () (@var "X3" $$unsorted)) % 114.42/114.69 (define @t111 () (tptp.hd @t12)) % 114.42/114.69 (define @t112 () (@var "X2" $$unsorted)) % 114.42/114.69 (define @t113 () (tptp.cons @t110 tptp.nil)) % 114.42/114.69 (define @t114 () (tptp.ssItem @t110)) % 114.42/114.69 (define @t115 () (and @t114 (= @t113 @t112) (= @t111 @t110) @t109)) % 114.42/114.69 (define @t116 () (@list @t110)) % 114.42/114.69 (define @t117 () (exists @t116 @t115)) % 114.42/114.69 (define @t118 () (@var "X1" $$unsorted)) % 114.42/114.69 (define @t119 () (tptp.app @t118 @t112)) % 114.42/114.69 (define @t120 () (tptp.tl @t12)) % 114.42/114.69 (define @t121 () (tptp.ssList @t112)) % 114.42/114.69 (define @t122 () (and @t121 (= @t120 @t118) (= @t119 @t27) @t117 @t109)) % 114.42/114.69 (define @t123 () (@list @t112)) % 114.42/114.69 (define @t124 () (exists @t123 @t122)) % 114.42/114.69 (define @t125 () (tptp.ssList @t118)) % 114.42/114.69 (define @t126 () (and @t125 @t124)) % 114.42/114.69 (define @t127 () (@list @t118)) % 114.42/114.69 (define @t128 () (exists @t127 @t126)) % 114.42/114.69 (define @t129 () (= @t10 @t27)) % 114.42/114.69 (define @t130 () (not @t129)) % 114.42/114.69 (define @t131 () (and @t30 @t130 @t128)) % 114.42/114.69 (define @t132 () (exists @t31 @t131)) % 114.42/114.69 (define @t133 () (not (tptp.neq @t12 tptp.nil))) % 114.42/114.69 (define @t134 () (or @t133 @t132)) % 114.42/114.69 (define @t135 () (tptp.neq @t10 tptp.nil)) % 114.42/114.69 (define @t136 () (and @t135 @t134)) % 114.42/114.69 (define @t137 () (not (= tptp.nil @t12))) % 114.42/114.69 (define @t138 () (and @t137 (= tptp.nil @t10))) % 114.42/114.69 (define @t139 () (tptp.segmentP @t2 @t28)) % 114.42/114.69 (define @t140 () (tptp.segmentP @t1 @t28)) % 114.42/114.69 (define @t141 () (tptp.neq @t28 tptp.nil)) % 114.42/114.69 (define @t142 () (and @t32 @t141 @t140 @t139)) % 114.42/114.69 (define @t143 () (exists @t33 @t142)) % 114.42/114.69 (define @t144 () (not (= @t2 @t12))) % 114.42/114.69 (define @t145 () (not (= @t1 @t10))) % 114.42/114.69 (define @t146 () (or @t145 @t144 @t143 @t138 @t105 @t136)) % 114.42/114.69 (define @t147 () (=> @t13 @t146)) % 114.42/114.69 (define @t148 () (forall @t14 @t147)) % 114.42/114.69 (define @t149 () (=> @t15 @t148)) % 114.42/114.69 (define @t150 () (forall @t16 @t149)) % 114.42/114.69 (define @t151 () (=> @t21 @t150)) % 114.42/114.69 (define @t152 () (forall @t7 @t151)) % 114.42/114.69 (define @t153 () (=> @t17 @t152)) % 114.42/114.69 (define @t154 () (forall @t9 @t153)) % 114.42/114.69 (define @t155 () (not @t154)) % 114.42/114.69 (define @t156 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 114.42/114.69 (define @t157 () (tptp.cons @t49 tptp.nil)) % 114.42/114.69 (define @t158 () (tptp.app @t55 @t157)) % 114.42/114.69 (define @t159 () (not (= @t156 @t158))) % 114.42/114.69 (define @t160 () (tptp.ssList @t158)) % 114.42/114.69 (define @t161 () (tptp.ssList @t157)) % 114.42/114.69 (define @t162 () (tptp.neq tptp.nil @t2)) % 114.42/114.69 (define @t163 () (and @t162 @t50 @t161 @t56 @t160 @t159)) % 114.42/114.69 (define @t164 () (not (tptp.neq @t2 tptp.nil))) % 114.42/114.69 (define @t165 () (or @t164 @t163)) % 114.42/114.69 (define @t166 () (tptp.neq @t156 tptp.nil)) % 114.42/114.69 (define @t167 () (and @t166 @t165)) % 114.42/114.69 (define @t168 () (= @t2 tptp.nil)) % 114.42/114.69 (define @t169 () (not @t168)) % 114.42/114.69 (define @t170 () (= @t156 tptp.nil)) % 114.42/114.69 (define @t171 () (and @t169 @t170)) % 114.42/114.69 (define @t172 () (and @t170 @t168)) % 114.42/114.69 (define @t173 () (not @t139)) % 114.42/114.69 (define @t174 () (not @t141)) % 114.42/114.69 (define @t175 () (not @t32)) % 114.42/114.69 (define @t176 () (not (forall @t33 (or @t175 @t174 (not (tptp.segmentP @t156 @t28)) @t173)))) % 114.42/114.69 (define @t177 () (not (tptp.ssList @t156))) % 114.42/114.69 (define @t178 () (not @t17)) % 114.42/114.69 (define @t179 () (or @t178 @t177 @t176 @t172 @t171 @t167)) % 114.42/114.69 (define @t180 () (or @t177 @t176 @t172 @t171 @t167)) % 114.42/114.69 (define @t181 () (or @t178 @t180)) % 114.42/114.69 (define @t182 () (@list @t2 @t156)) % 114.42/114.69 (define @t183 () (forall @t182 @t181)) % 114.42/114.69 (define @t184 () (@list @t156)) % 114.42/114.69 (define @t185 () (forall @t184 @t181)) % 114.42/114.69 (define @t186 () (forall @t184 @t180)) % 114.42/114.69 (define @t187 () (@list @t1)) % 114.42/114.69 (define @t188 () (or @t178 @t186)) % 114.42/114.69 (define @t189 () (tptp.neq @t1 tptp.nil)) % 114.42/114.69 (define @t190 () (and @t189 (or @t164 (and @t162 @t50 @t161 @t56 @t160 (not (= @t1 @t158)))))) % 114.42/114.69 (define @t191 () (= @t1 tptp.nil)) % 114.42/114.69 (define @t192 () (and @t169 @t191)) % 114.42/114.69 (define @t193 () (and @t191 @t168)) % 114.42/114.69 (define @t194 () (not @t140)) % 114.42/114.69 (define @t195 () (or @t175 @t174 @t194 @t173)) % 114.42/114.69 (define @t196 () (not (forall @t33 @t195))) % 114.42/114.69 (define @t197 () (not @t21)) % 114.42/114.69 (define @t198 () (or @t197 @t196 @t193 @t192 @t190)) % 114.42/114.69 (define @t199 () (or @t178 (forall @t7 @t198))) % 114.42/114.69 (define @t200 () (or @t178 @t198)) % 114.42/114.69 (define @t201 () (or @t197 @t196 @t193 @t178 @t192 @t190)) % 114.42/114.69 (define @t202 () (or @t196 @t193 @t197 @t178 @t192 @t190)) % 114.42/114.69 (define @t203 () (or @t178 @t192 @t190)) % 114.42/114.69 (define @t204 () (not (= @t2 @t2))) % 114.42/114.69 (define @t205 () (or @t178 @t204 @t192 @t190)) % 114.42/114.69 (define @t206 () (tptp.cons @t111 tptp.nil)) % 114.42/114.69 (define @t207 () (tptp.app @t120 @t206)) % 114.42/114.69 (define @t208 () (tptp.ssList @t207)) % 114.42/114.69 (define @t209 () (tptp.ssList @t120)) % 114.42/114.69 (define @t210 () (tptp.ssList @t206)) % 114.42/114.69 (define @t211 () (tptp.ssItem @t111)) % 114.42/114.69 (define @t212 () (and @t189 (or @t133 (and @t109 @t211 @t210 @t209 @t208 (not (= @t1 @t207)))))) % 114.42/114.69 (define @t213 () (not (= @t12 tptp.nil))) % 114.42/114.69 (define @t214 () (and @t213 @t191)) % 114.42/114.69 (define @t215 () (not @t15)) % 114.42/114.69 (define @t216 () (or @t144 @t215 @t144 @t214 @t212)) % 114.42/114.69 (define @t217 () (or @t215 @t144 @t214 @t212)) % 114.42/114.69 (define @t218 () (forall @t16 @t217)) % 114.42/114.69 (define @t219 () (or @t196 @t193 @t197 @t218)) % 114.42/114.69 (define @t220 () (or @t196 @t193 @t197 @t217)) % 114.42/114.69 (define @t221 () (or @t215 @t144 @t196 @t193 @t197 @t214 @t212)) % 114.42/114.69 (define @t222 () (or @t144 @t196 @t193 @t197 @t214 @t212)) % 114.42/114.69 (define @t223 () (or @t197 @t214 @t212)) % 114.42/114.69 (define @t224 () (not (= @t1 @t1))) % 114.42/114.69 (define @t225 () (or @t197 @t224 @t214 @t212)) % 114.42/114.69 (define @t226 () (= @t10 @t207)) % 114.42/114.69 (define @t227 () (not @t226)) % 114.42/114.69 (define @t228 () (and @t135 (or @t133 (and @t109 @t211 @t210 @t209 @t208 @t227)))) % 114.42/114.69 (define @t229 () (and @t213 (= @t10 tptp.nil))) % 114.42/114.69 (define @t230 () (not @t13)) % 114.42/114.69 (define @t231 () (or @t145 @t230 @t145 @t229 @t228)) % 114.42/114.69 (define @t232 () (or @t230 @t145 @t229 @t228)) % 114.42/114.69 (define @t233 () (forall @t14 @t232)) % 114.42/114.69 (define @t234 () (or @t144 @t196 @t193 @t233)) % 114.42/114.69 (define @t235 () (or @t144 @t196 @t193 @t232)) % 114.42/114.69 (define @t236 () (or @t230 @t145 @t144 @t196 @t229 @t193 @t228)) % 114.42/114.69 (define @t237 () (not @t208)) % 114.42/114.69 (define @t238 () (not @t237)) % 114.42/114.69 (define @t239 () (not @t209)) % 114.42/114.69 (define @t240 () (not @t239)) % 114.42/114.69 (define @t241 () (not @t210)) % 114.42/114.69 (define @t242 () (not @t241)) % 114.42/114.69 (define @t243 () (not @t211)) % 114.42/114.69 (define @t244 () (not @t243)) % 114.42/114.69 (define @t245 () (not @t109)) % 114.42/114.69 (define @t246 () (not @t245)) % 114.42/114.69 (define @t247 () (and @t246 @t244 @t242 @t240 @t238 @t227)) % 114.42/114.69 (define @t248 () (or @t237 @t226)) % 114.42/114.69 (define @t249 () (or @t245 @t243 @t241 @t239 @t237 @t226)) % 114.42/114.69 (define @t250 () (or @t133 (not @t249))) % 114.42/114.69 (define @t251 () (and @t135 @t250)) % 114.42/114.69 (define @t252 () (or @t145 @t144 @t196 @t229 @t193 @t251)) % 114.42/114.69 (define @t253 () (not (= @t207 @t207))) % 114.42/114.69 (define @t254 () (or @t237 @t226 @t253)) % 114.42/114.69 (define @t255 () (not (= @t27 @t207))) % 114.42/114.69 (define @t256 () (not @t30)) % 114.42/114.69 (define @t257 () (or @t255 @t256 @t129 @t255)) % 114.42/114.69 (define @t258 () (or @t256 @t129 @t255)) % 114.42/114.69 (define @t259 () (forall @t31 @t258)) % 114.42/114.69 (define @t260 () (or @t245 @t243 @t241 @t239 @t259)) % 114.42/114.69 (define @t261 () (or @t245 @t243 @t241 @t239 @t258)) % 114.42/114.69 (define @t262 () (or @t256 @t129 @t245 @t243 @t241 @t239 @t255)) % 114.42/114.69 (define @t263 () (or @t245 @t243 @t241 @t239 @t255)) % 114.42/114.69 (define @t264 () (not @t263)) % 114.42/114.69 (define @t265 () (not @t264)) % 114.42/114.69 (define @t266 () (not @t130)) % 114.42/114.69 (define @t267 () (or @t256 @t266 @t265)) % 114.42/114.69 (define @t268 () (and @t30 @t130 @t264)) % 114.42/114.69 (define @t269 () (forall @t31 (not @t268))) % 114.42/114.69 (define @t270 () (not @t269)) % 114.42/114.69 (define @t271 () (or @t239 @t255)) % 114.42/114.69 (define @t272 () (not (= @t120 @t120))) % 114.42/114.69 (define @t273 () (or @t239 @t272 @t255)) % 114.42/114.69 (define @t274 () (not (= @t27 (tptp.app @t118 @t206)))) % 114.42/114.69 (define @t275 () (= @t118 @t120)) % 114.42/114.69 (define @t276 () (not @t275)) % 114.42/114.69 (define @t277 () (not @t125)) % 114.42/114.69 (define @t278 () (or @t276 @t277 @t276 @t274)) % 114.42/114.69 (define @t279 () (or @t277 @t276 @t274)) % 114.42/114.69 (define @t280 () (forall @t127 @t279)) % 114.42/114.69 (define @t281 () (or @t245 @t243 @t241 @t280)) % 114.42/114.69 (define @t282 () (or @t245 @t243 @t241 @t279)) % 114.42/114.69 (define @t283 () (or @t277 @t276 @t245 @t243 @t241 @t274)) % 114.42/114.69 (define @t284 () (or @t276 @t245 @t243 @t241 @t274)) % 114.42/114.69 (define @t285 () (not @t284)) % 114.42/114.69 (define @t286 () (and @t125 @t285)) % 114.42/114.69 (define @t287 () (forall @t127 (not @t286))) % 114.42/114.69 (define @t288 () (not @t287)) % 114.42/114.69 (define @t289 () (or @t241 @t274)) % 114.42/114.69 (define @t290 () (not (= @t206 @t206))) % 114.42/114.69 (define @t291 () (or @t241 @t274 @t290)) % 114.42/114.69 (define @t292 () (not (= @t112 @t206))) % 114.42/114.69 (define @t293 () (= @t27 @t119)) % 114.42/114.69 (define @t294 () (not @t293)) % 114.42/114.69 (define @t295 () (not @t121)) % 114.42/114.69 (define @t296 () (or @t292 @t295 @t294 @t292)) % 114.42/114.69 (define @t297 () (or @t295 @t294 @t292)) % 114.42/114.69 (define @t298 () (forall @t123 @t297)) % 114.42/114.69 (define @t299 () (or @t276 @t245 @t243 @t298)) % 114.42/114.69 (define @t300 () (or @t276 @t245 @t243 @t297)) % 114.42/114.69 (define @t301 () (or @t295 @t276 @t294 @t245 @t243 @t292)) % 114.42/114.69 (define @t302 () (or @t245 @t243 @t292)) % 114.42/114.69 (define @t303 () (not @t302)) % 114.42/114.69 (define @t304 () (not @t303)) % 114.42/114.69 (define @t305 () (or @t295 @t276 @t294 @t304 @t245)) % 114.42/114.69 (define @t306 () (and @t121 @t275 @t293 @t303 @t109)) % 114.42/114.69 (define @t307 () (forall @t123 (not @t306))) % 114.42/114.69 (define @t308 () (not @t307)) % 114.42/114.69 (define @t309 () (or @t243 @t292)) % 114.42/114.69 (define @t310 () (not (= @t111 @t111))) % 114.42/114.69 (define @t311 () (or @t243 @t292 @t310)) % 114.42/114.69 (define @t312 () (= @t110 @t111)) % 114.42/114.69 (define @t313 () (not @t312)) % 114.42/114.69 (define @t314 () (= @t112 @t113)) % 114.42/114.69 (define @t315 () (not @t314)) % 114.42/114.69 (define @t316 () (not @t114)) % 114.42/114.69 (define @t317 () (or @t313 @t316 @t315 @t313)) % 114.42/114.69 (define @t318 () (or @t316 @t315 @t313)) % 114.42/114.69 (define @t319 () (forall @t116 @t318)) % 114.42/114.69 (define @t320 () (or @t245 @t319)) % 114.42/114.69 (define @t321 () (or @t245 @t318)) % 114.42/114.69 (define @t322 () (or @t316 @t315 @t313 @t245)) % 114.42/114.69 (define @t323 () (and @t114 @t314 @t312 @t109)) % 114.42/114.69 (define @t324 () (forall @t116 (not @t323))) % 114.42/114.69 (define @t325 () (not @t324)) % 114.42/114.69 (define @t326 () (forall @t33 (not @t142))) % 114.42/114.69 (define @t327 () (not @t326)) % 114.42/114.69 (define @t328 () (= tptp.nil @t156)) % 114.42/114.69 (define @t329 () (forall @t182 (or @t178 @t177 @t176 (and @t328 @t168) (and @t169 @t328) (and @t166 (or @t164 (and @t162 @t50 @t161 @t56 @t160 (not (= @t158 @t156)))))))) % 114.42/114.69 (define @t330 () (@quantifiers_skolemize @t329 0)) % 114.42/114.69 (define @t331 () (tptp.hd @t330)) % 114.42/114.69 (define @t332 () (tptp.cons @t331 tptp.nil)) % 114.42/114.69 (define @t333 () (tptp.tl @t330)) % 114.42/114.69 (define @t334 () (tptp.app @t333 @t332)) % 114.42/114.69 (define @t335 () (@quantifiers_skolemize @t329 1)) % 114.42/114.69 (define @t336 () (= @t335 @t334)) % 114.42/114.69 (define @t337 () (not @t336)) % 114.42/114.69 (define @t338 () (tptp.ssList @t334)) % 114.42/114.69 (define @t339 () (tptp.ssList @t333)) % 114.42/114.69 (define @t340 () (tptp.ssList @t332)) % 114.42/114.69 (define @t341 () (tptp.ssItem @t331)) % 114.42/114.69 (define @t342 () (tptp.neq tptp.nil @t330)) % 114.42/114.69 (define @t343 () (and @t342 @t341 @t340 @t339 @t338 @t337)) % 114.42/114.69 (define @t344 () (tptp.neq @t330 tptp.nil)) % 114.42/114.69 (define @t345 () (not @t344)) % 114.42/114.69 (define @t346 () (or @t345 @t343)) % 114.42/114.69 (define @t347 () (tptp.neq @t335 tptp.nil)) % 114.42/114.69 (define @t348 () (and @t347 @t346)) % 114.42/114.69 (define @t349 () (= tptp.nil @t335)) % 114.42/114.69 (define @t350 () (= tptp.nil @t330)) % 114.42/114.69 (define @t351 () (not @t350)) % 114.42/114.69 (define @t352 () (and @t351 @t349)) % 114.42/114.69 (define @t353 () (and @t349 @t350)) % 114.42/114.69 (define @t354 () (forall @t33 (or @t175 @t174 (not (tptp.segmentP @t335 @t28)) (not (tptp.segmentP @t330 @t28))))) % 114.42/114.69 (define @t355 () (not @t354)) % 114.42/114.69 (define @t356 () (tptp.ssList @t335)) % 114.42/114.69 (define @t357 () (not @t356)) % 114.42/114.69 (define @t358 () (tptp.ssList @t330)) % 114.42/114.69 (define @t359 () (not @t358)) % 114.42/114.69 (define @t360 () (or @t359 @t357 @t355 @t353 @t352 @t348)) % 114.42/114.69 (define @t361 () (not @t360)) % 114.42/114.69 (define @t362 () (not @t329)) % 114.42/114.69 (define @t363 () (not (= @t334 @t335))) % 114.42/114.69 (define @t364 () (and @t342 @t341 @t340 @t339 @t338 @t363)) % 114.42/114.69 (define @t365 () (or @t345 @t364)) % 114.42/114.69 (define @t366 () (and @t347 @t365)) % 114.42/114.69 (define @t367 () (= @t330 tptp.nil)) % 114.42/114.69 (define @t368 () (not @t367)) % 114.42/114.69 (define @t369 () (and @t368 @t349)) % 114.42/114.69 (define @t370 () (and @t349 @t367)) % 114.42/114.69 (define @t371 () (or @t359 @t357 @t355 @t370 @t369 @t366)) % 114.42/114.69 (define @t372 () (not @t371)) % 114.42/114.69 (define @t373 () (@list true)) % 114.42/114.69 (define @t374 () (@list @t360)) % 114.42/114.69 (define @t375 () (@var "BOUND_VARIABLE_9129" $$unsorted)) % 114.42/114.69 (define @t376 () (= (tptp.neq @t2 @t375) (not (= @t2 @t375)))) % 114.42/114.69 (define @t377 () (not (tptp.ssList @t375))) % 114.42/114.69 (define @t378 () (or @t178 @t377 @t376)) % 114.42/114.69 (define @t379 () (or @t377 @t376)) % 114.42/114.69 (define @t380 () (or @t178 @t379)) % 114.42/114.69 (define @t381 () (@list @t2 @t375)) % 114.42/114.69 (define @t382 () (forall @t381 @t380)) % 114.42/114.69 (define @t383 () (@list @t375)) % 114.42/114.69 (define @t384 () (forall @t383 @t380)) % 114.42/114.69 (define @t385 () (forall @t383 @t379)) % 114.42/114.69 (define @t386 () (or @t178 @t385)) % 114.42/114.69 (define @t387 () (forall @t7 (or @t197 @t5))) % 114.42/114.69 (define @t388 () (not (= @t335 tptp.nil))) % 114.42/114.69 (define @t389 () (= @t347 @t388)) % 114.42/114.69 (define @t390 () (not @t45)) % 114.42/114.69 (define @t391 () (or @t357 @t390 @t389)) % 114.42/114.69 (define @t392 () (forall @t381 @t378)) % 114.42/114.69 (define @t393 () (not @t349)) % 114.42/114.69 (define @t394 () (= @t347 @t393)) % 114.42/114.69 (define @t395 () (or @t357 @t390 @t394)) % 114.42/114.69 (define @t396 () (@list false)) % 114.42/114.69 (define @t397 () (@list @t392)) % 114.42/114.69 (define @t398 () (@list false false false)) % 114.42/114.69 (define @t399 () (@list @t335)) % 114.42/114.69 (define @t400 () (tptp.segmentP @t335 @t335)) % 114.42/114.69 (define @t401 () (or @t357 @t400)) % 114.42/114.69 (define @t402 () (@list false false)) % 114.42/114.69 (define @t403 () (tptp.segmentP @t330 @t335)) % 114.42/114.69 (define @t404 () (not @t403)) % 114.42/114.69 (define @t405 () (not @t400)) % 114.42/114.69 (define @t406 () (not @t347)) % 114.42/114.69 (define @t407 () (or @t357 @t406 @t405 @t404)) % 114.42/114.69 (define @t408 () (or @t359 @t390 (= @t344 @t368))) % 114.42/114.69 (define @t409 () (= @t344 @t351)) % 114.42/114.69 (define @t410 () (or @t359 @t390 @t409)) % 114.42/114.69 (define @t411 () (= @t342 @t351)) % 114.42/114.69 (define @t412 () (or @t390 @t359 @t411)) % 114.42/114.69 (define @t413 () (not @t411)) % 114.42/114.69 (define @t414 () (not @t351)) % 114.42/114.69 (define @t415 () (or @t178 @t168 @t50)) % 114.42/114.69 (define @t416 () (not @t169)) % 114.42/114.69 (define @t417 () (=> @t169 @t50)) % 114.42/114.69 (define @t418 () (or @t359 @t367 @t341)) % 114.42/114.69 (define @t419 () (forall @t9 @t415)) % 114.42/114.69 (define @t420 () (@list @t330)) % 114.42/114.69 (define @t421 () (or @t359 @t350 @t341)) % 114.42/114.69 (define @t422 () (or @t178 @t168 @t56)) % 114.42/114.69 (define @t423 () (=> @t169 @t56)) % 114.42/114.69 (define @t424 () (or @t359 @t367 @t339)) % 114.42/114.69 (define @t425 () (forall @t9 @t422)) % 114.42/114.69 (define @t426 () (or @t359 @t350 @t339)) % 114.42/114.69 (define @t427 () (= @t2 @t100)) % 114.42/114.69 (define @t428 () (or @t178 @t168 @t427)) % 114.42/114.69 (define @t429 () (=> @t169 @t427)) % 114.42/114.69 (define @t430 () (tptp.cons @t331 @t333)) % 114.42/114.69 (define @t431 () (= @t330 @t430)) % 114.42/114.69 (define @t432 () (or @t359 @t367 @t431)) % 114.42/114.69 (define @t433 () (forall @t9 @t428)) % 114.42/114.69 (define @t434 () (or @t359 @t350 @t431)) % 114.42/114.69 (define @t435 () (@var "BOUND_VARIABLE_9150" $$unsorted)) % 114.42/114.69 (define @t436 () (tptp.ssList (tptp.cons @t435 @t2))) % 114.42/114.69 (define @t437 () (not (tptp.ssItem @t435))) % 114.42/114.69 (define @t438 () (or @t437 @t436)) % 114.42/114.69 (define @t439 () (or @t178 @t438)) % 114.42/114.69 (define @t440 () (forall (@list @t2 @t435) @t439)) % 114.42/114.69 (define @t441 () (@list @t435)) % 114.42/114.69 (define @t442 () (forall @t441 @t439)) % 114.42/114.69 (define @t443 () (forall @t441 @t438)) % 114.42/114.69 (define @t444 () (or @t178 @t443)) % 114.42/114.69 (define @t445 () (forall @t7 (or (not @t6) @t41))) % 114.42/114.69 (define @t446 () (not @t341)) % 114.42/114.69 (define @t447 () (or @t390 @t446 @t340)) % 114.42/114.69 (define @t448 () (= @t2 @t72)) % 114.42/114.69 (define @t449 () (@list @t333)) % 114.42/114.69 (define @t450 () (tptp.app tptp.nil @t333)) % 114.42/114.69 (define @t451 () (= @t333 @t450)) % 114.42/114.69 (define @t452 () (not @t339)) % 114.42/114.69 (define @t453 () (or @t452 @t451)) % 114.42/114.69 (define @t454 () (tptp.segmentP @t333 @t333)) % 114.42/114.69 (define @t455 () (or @t452 @t454)) % 114.42/114.69 (define @t456 () (@var "BOUND_VARIABLE_9431" $$unsorted)) % 114.42/114.69 (define @t457 () (@var "BOUND_VARIABLE_9433" $$unsorted)) % 114.42/114.69 (define @t458 () (= (tptp.cons @t457 (tptp.app @t456 @t2)) (tptp.app (tptp.cons @t457 @t456) @t2))) % 114.42/114.69 (define @t459 () (not (tptp.ssItem @t457))) % 114.42/114.69 (define @t460 () (not (tptp.ssList @t456))) % 114.42/114.69 (define @t461 () (or @t178 @t460 @t459 @t458)) % 114.42/114.69 (define @t462 () (or @t460 @t459 @t458)) % 114.42/114.69 (define @t463 () (or @t178 @t462)) % 114.42/114.69 (define @t464 () (@list @t2 @t456 @t457)) % 114.42/114.69 (define @t465 () (forall @t464 @t463)) % 114.42/114.69 (define @t466 () (@list @t456 @t457)) % 114.42/114.69 (define @t467 () (forall @t466 @t463)) % 114.42/114.69 (define @t468 () (forall @t466 @t462)) % 114.42/114.69 (define @t469 () (@var "BOUND_VARIABLE_9413" $$unsorted)) % 114.42/114.69 (define @t470 () (or @t178 @t468)) % 114.42/114.69 (define @t471 () (= (tptp.cons @t469 @t65) (tptp.app (tptp.cons @t469 @t1) @t2))) % 114.42/114.69 (define @t472 () (not (tptp.ssItem @t469))) % 114.42/114.69 (define @t473 () (or @t197 @t472 @t471)) % 114.42/114.69 (define @t474 () (@list @t1 @t469)) % 114.42/114.69 (define @t475 () (forall @t474 @t473)) % 114.42/114.69 (define @t476 () (or @t472 @t471)) % 114.42/114.69 (define @t477 () (or @t197 @t476)) % 114.42/114.69 (define @t478 () (forall @t474 @t477)) % 114.42/114.69 (define @t479 () (@list @t469)) % 114.42/114.69 (define @t480 () (forall @t479 @t477)) % 114.42/114.69 (define @t481 () (forall @t479 @t476)) % 114.42/114.69 (define @t482 () (or @t197 @t481)) % 114.42/114.69 (define @t483 () (forall @t16 (or (not @t34) @t66))) % 114.42/114.69 (define @t484 () (tptp.cons @t331 @t450)) % 114.42/114.69 (define @t485 () (tptp.app @t332 @t333)) % 114.42/114.69 (define @t486 () (or @t452 @t390 @t446 (= @t484 @t485))) % 114.42/114.69 (define @t487 () (forall @t464 @t461)) % 114.42/114.69 (define @t488 () (= @t485 @t484)) % 114.42/114.69 (define @t489 () (or @t452 @t390 @t446 @t488)) % 114.42/114.69 (define @t490 () (tptp.neq @t333 tptp.nil)) % 114.42/114.69 (define @t491 () (= tptp.nil @t333)) % 114.42/114.69 (define @t492 () (not @t491)) % 114.42/114.69 (define @t493 () (not (= @t333 tptp.nil))) % 114.42/114.69 (define @t494 () (= @t490 @t493)) % 114.42/114.69 (define @t495 () (or @t452 @t390 @t494)) % 114.42/114.69 (define @t496 () (= @t492 @t490)) % 114.42/114.69 (define @t497 () (or @t452 @t390 @t496)) % 114.42/114.69 (define @t498 () (@var "BOUND_VARIABLE_9394" $$unsorted)) % 114.42/114.69 (define @t499 () (tptp.ssList (tptp.app @t2 @t498))) % 114.42/114.69 (define @t500 () (not (tptp.ssList @t498))) % 114.42/114.69 (define @t501 () (or @t500 @t499)) % 114.42/114.69 (define @t502 () (or @t178 @t501)) % 114.42/114.69 (define @t503 () (forall (@list @t2 @t498) @t502)) % 114.42/114.69 (define @t504 () (@list @t498)) % 114.42/114.69 (define @t505 () (forall @t504 @t502)) % 114.42/114.69 (define @t506 () (forall @t504 @t501)) % 114.42/114.69 (define @t507 () (or @t178 @t506)) % 114.42/114.69 (define @t508 () (forall @t7 (or @t197 @t61))) % 114.42/114.69 (define @t509 () (not @t340)) % 114.42/114.69 (define @t510 () (or @t452 @t509 @t338)) % 114.42/114.69 (define @t511 () (@list @t332)) % 114.42/114.69 (define @t512 () (= @t332 (tptp.app tptp.nil @t332))) % 114.42/114.69 (define @t513 () (or @t509 @t512)) % 114.42/114.69 (define @t514 () (tptp.segmentP @t332 @t332)) % 114.42/114.69 (define @t515 () (or @t509 @t514)) % 114.42/114.69 (define @t516 () (@var "BOUND_VARIABLE_10228" $$unsorted)) % 114.42/114.69 (define @t517 () (@var "BOUND_VARIABLE_10232" $$unsorted)) % 114.42/114.69 (define @t518 () (@var "BOUND_VARIABLE_10230" $$unsorted)) % 114.42/114.69 (define @t519 () (tptp.segmentP (tptp.app (tptp.app @t518 @t2) @t517) @t516)) % 114.42/114.69 (define @t520 () (not (tptp.ssList @t517))) % 114.42/114.69 (define @t521 () (not (tptp.ssList @t518))) % 114.42/114.69 (define @t522 () (not (tptp.segmentP @t2 @t516))) % 114.42/114.69 (define @t523 () (not (tptp.ssList @t516))) % 114.42/114.69 (define @t524 () (or @t523 @t522 @t521 @t520 @t519)) % 114.42/114.69 (define @t525 () (or @t178 @t524)) % 114.42/114.69 (define @t526 () (forall (@list @t2 @t516 @t518 @t517) @t525)) % 114.42/114.69 (define @t527 () (@list @t516 @t518 @t517)) % 114.42/114.69 (define @t528 () (forall @t527 @t525)) % 114.42/114.69 (define @t529 () (forall @t527 @t524)) % 114.42/114.69 (define @t530 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 114.42/114.69 (define @t531 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 114.42/114.69 (define @t532 () (or @t178 @t529)) % 114.42/114.69 (define @t533 () (tptp.segmentP (tptp.app (tptp.app @t531 @t2) @t530) @t1)) % 114.42/114.69 (define @t534 () (not (tptp.ssList @t530))) % 114.42/114.69 (define @t535 () (not (tptp.ssList @t531))) % 114.42/114.69 (define @t536 () (not @t24)) % 114.42/114.69 (define @t537 () (or @t197 @t536 @t535 @t534 @t533)) % 114.42/114.69 (define @t538 () (@list @t1 @t531 @t530)) % 114.42/114.69 (define @t539 () (forall @t538 @t537)) % 114.42/114.69 (define @t540 () (or @t535 @t534 @t533)) % 114.42/114.69 (define @t541 () (or @t197 @t536 @t540)) % 114.42/114.69 (define @t542 () (forall @t538 @t541)) % 114.42/114.69 (define @t543 () (@list @t531 @t530)) % 114.42/114.69 (define @t544 () (forall @t543 @t541)) % 114.42/114.69 (define @t545 () (forall @t543 @t540)) % 114.42/114.69 (define @t546 () (@var "BOUND_VARIABLE_10190" $$unsorted)) % 114.42/114.69 (define @t547 () (or @t197 @t536 @t545)) % 114.42/114.69 (define @t548 () (tptp.segmentP (tptp.app @t83 @t546) @t1)) % 114.42/114.69 (define @t549 () (not (tptp.ssList @t546))) % 114.42/114.69 (define @t550 () (or @t215 @t549 @t548)) % 114.42/114.69 (define @t551 () (@list @t12 @t546)) % 114.42/114.69 (define @t552 () (forall @t551 @t550)) % 114.42/114.69 (define @t553 () (or @t197 @t536 @t552)) % 114.42/114.69 (define @t554 () (or @t536 @t552)) % 114.42/114.69 (define @t555 () (or @t549 @t548)) % 114.42/114.69 (define @t556 () (or @t215 @t555)) % 114.42/114.69 (define @t557 () (forall @t551 @t556)) % 114.42/114.69 (define @t558 () (@list @t546)) % 114.42/114.69 (define @t559 () (forall @t558 @t556)) % 114.42/114.69 (define @t560 () (forall @t558 @t555)) % 114.42/114.69 (define @t561 () (or @t215 @t560)) % 114.42/114.69 (define @t562 () (or @t230 @t86)) % 114.42/114.69 (define @t563 () (forall @t14 @t562)) % 114.42/114.69 (define @t564 () (or @t215 @t563)) % 114.42/114.69 (define @t565 () (forall @t16 @t564)) % 114.42/114.69 (define @t566 () (or @t536 @t565)) % 114.42/114.69 (define @t567 () (or @t536 @t564)) % 114.42/114.69 (define @t568 () (or @t215 @t536 @t563)) % 114.42/114.69 (define @t569 () (or @t536 @t563)) % 114.42/114.69 (define @t570 () (or @t536 @t562)) % 114.42/114.69 (define @t571 () (or @t230 @t536 @t86)) % 114.42/114.69 (define @t572 () (tptp.segmentP (tptp.app @t450 @t332) @t333)) % 114.42/114.69 (define @t573 () (not @t454)) % 114.42/114.69 (define @t574 () (or @t452 @t452 @t573 @t390 @t509 @t572)) % 114.42/114.69 (define @t575 () (tptp.segmentP (tptp.app @t485 tptp.nil) @t333)) % 114.42/114.69 (define @t576 () (or @t452 @t452 @t573 @t509 @t390 @t575)) % 114.42/114.69 (define @t577 () (not @t338)) % 114.42/114.69 (define @t578 () (not @t342)) % 114.42/114.69 (define @t579 () (not @t431)) % 114.42/114.69 (define @t580 () (not @t514)) % 114.42/114.69 (define @t581 () (not @t512)) % 114.42/114.69 (define @t582 () (and @t514 @t491 @t431 @t512 @t336 @t404)) % 114.42/114.69 (define @t583 () (not @t496)) % 114.42/114.69 (define @t584 () (= @t2 @t106)) % 114.42/114.69 (define @t585 () (tptp.app @t330 tptp.nil)) % 114.42/114.69 (define @t586 () (= @t330 @t585)) % 114.42/114.69 (define @t587 () (or @t359 @t586)) % 114.42/114.69 (define @t588 () (tptp.segmentP @t330 @t333)) % 114.42/114.69 (define @t589 () (and @t451 @t431 @t586 @t488 @t575)) % 114.42/114.69 (define @t590 () (not @t451)) % 114.42/114.69 (define @t591 () (tptp.segmentP @t335 @t333)) % 114.42/114.69 (define @t592 () (and @t336 @t451 @t572)) % 114.42/114.69 (define @t593 () (not @t588)) % 114.42/114.69 (define @t594 () (not @t591)) % 114.42/114.69 (define @t595 () (not @t490)) % 114.42/114.69 (define @t596 () (or @t452 @t595 @t594 @t593)) % 114.42/114.69 (define @t597 () (not @t394)) % 114.42/114.69 (define @t598 () (@list true false)) % 114.42/114.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 114.42/114.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 114.42/114.69 (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))))))))))) % 114.42/114.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 114.42/114.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 114.42/114.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 114.42/114.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 114.42/114.69 (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))))))))))))))))) % 114.42/114.69 (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)))))))))))))))) % 114.42/114.69 (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))))))))))))))))) % 114.42/114.69 (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))))))))))))))) % 114.42/114.69 (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))))))))))))))) % 114.42/114.69 (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)))))))))))))))) % 114.42/114.69 (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))))))))))))) % 114.42/114.69 (assume @p15 @t39) % 114.42/114.69 (assume @p16 @t44) % 114.42/114.69 (assume @p17 @t45) % 114.42/114.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 114.42/114.69 (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) @t46))))))))))) % 114.42/114.69 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 114.42/114.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 114.42/114.69 (assume @p22 @t54) % 114.42/114.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 114.42/114.69 (assume @p24 @t59) % 114.42/114.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 114.42/114.69 (assume @p26 @t64) % 114.42/114.69 (assume @p27 @t71) % 114.42/114.69 (assume @p28 @t74) % 114.42/114.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3)))))) % 114.42/114.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t26) (tptp.leq @t2 @t12))))))))) % 114.42/114.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 114.42/114.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t75)))))) % 114.42/114.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not @t78))))))) % 114.42/114.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 @t35) @t80)))))))) % 114.42/114.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t78)))))) % 114.42/114.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t82))))))))) % 114.42/114.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t82))))))))) % 114.42/114.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 114.42/114.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 114.42/114.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 114.42/114.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 114.42/114.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 114.42/114.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 114.42/114.69 (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)))))))))))) % 114.42/114.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 114.42/114.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 114.42/114.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 114.42/114.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 114.42/114.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 114.42/114.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t83 @t1))))))))) % 114.42/114.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 114.42/114.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 114.42/114.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 114.42/114.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 114.42/114.69 (assume @p55 @t85) % 114.42/114.69 (assume @p56 @t94) % 114.42/114.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 114.42/114.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 114.42/114.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 114.42/114.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 114.42/114.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 114.42/114.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 114.42/114.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 114.42/114.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 114.42/114.69 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 114.42/114.69 (assume @p66 (tptp.totalorderedP tptp.nil)) % 114.42/114.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 114.42/114.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 114.42/114.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 114.42/114.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 114.42/114.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 114.42/114.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 114.42/114.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 114.42/114.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 114.42/114.69 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 114.42/114.69 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 114.42/114.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t51 (= @t96 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 114.42/114.69 (assume @p78 @t103) % 114.42/114.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t104)))))))) % 114.42/114.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t104)))))))) % 114.42/114.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 114.42/114.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 114.42/114.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) @t105)))))) % 114.42/114.69 (assume @p84 @t108) % 114.42/114.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 114.42/114.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 114.42/114.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3)))))) % 114.42/114.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 114.42/114.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 114.42/114.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 114.42/114.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t35) @t80)))))))) % 114.42/114.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t79))))))) % 114.42/114.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 (and @t4 @t76))))))) % 114.42/114.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not (tptp.gt @t1 @t2)))))))) % 114.42/114.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 114.42/114.69 (assume @p96 @t155) % 114.42/114.69 (assume @p97 true) % 114.42/114.69 (step @p98 :rule eq-symm :args (@t156 @t158)) % 114.42/114.69 (step @p99 :rule cong :premises (@p98) :args (@t159)) % 114.42/114.69 (step @p100 :rule refl :args (@t160)) % 114.42/114.69 (step @p101 :rule refl :args (@t56)) % 114.42/114.69 (step @p102 :rule refl :args (@t161)) % 114.42/114.69 (step @p103 :rule refl :args (@t50)) % 114.42/114.69 (step @p104 :rule refl :args (@t162)) % 114.42/114.69 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100 @p99) :args (@t163)) % 114.42/114.69 (step @p106 :rule refl :args (@t164)) % 114.42/114.69 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t165)) % 114.42/114.69 (step @p108 :rule refl :args (@t166)) % 114.42/114.69 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t167)) % 114.42/114.69 (step @p110 :rule eq-symm :args (@t156 tptp.nil)) % 114.42/114.69 (step @p111 :rule refl :args (@t169)) % 114.42/114.69 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t171)) % 114.42/114.69 (step @p113 :rule refl :args (@t168)) % 114.42/114.69 (step @p114 :rule nary_cong :premises (@p110 @p113) :args (@t172)) % 114.42/114.69 (step @p115 :rule refl :args (@t176)) % 114.42/114.69 (step @p116 :rule refl :args (@t177)) % 114.42/114.69 (step @p117 :rule refl :args (@t178)) % 114.42/114.69 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p112 @p109) :args (@t179)) % 114.42/114.69 (step @p119 :rule aci_norm :args ((= @t181 @t179))) % 114.42/114.69 (step @p120 :rule trans :premises (@p119 @p118)) % 114.42/114.69 (step @p121 :rule cong :premises (@p120) :args (@t183)) % 114.42/114.69 (step @p122 :rule quant-merge-prenex :args ((= (forall @t9 @t185) @t183))) % 114.42/114.69 (step @p123 :rule alpha_equiv :args (@t186 (@list @t156) @t187)) % 114.42/114.69 (step @p124 :rule refl :args (@t178)) % 114.42/114.69 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t188)) % 114.42/114.69 (step @p126 :rule quant-miniscope-or :args ((= @t185 @t188))) % 114.42/114.69 (step @p127 :rule trans :premises (@p126 @p125)) % 114.42/114.69 (step @p128 :rule symm :premises (@p127)) % 114.42/114.69 (step @p129 :rule cong :premises (@p128) :args ((forall @t9 @t199))) % 114.42/114.69 (step @p130 :rule trans :premises (@p129 @p122)) % 114.42/114.69 (step @p131 :rule trans :premises (@p130 @p121)) % 114.42/114.69 (step @p132 :rule aci_norm :args ((= (or @t178 @t199) @t199))) % 114.42/114.69 (step @p133 :rule bool-impl-elim :args (@t17 @t199)) % 114.42/114.69 (step @p134 :rule trans :premises (@p133 @p132)) % 114.42/114.69 (step @p135 :rule cong :premises (@p134) :args ((forall @t9 (=> @t17 @t199)))) % 114.42/114.69 (step @p136 :rule trans :premises (@p135 @p131)) % 114.42/114.69 (step @p137 :rule quant-miniscope-or :args ((= (forall @t7 @t200) @t199))) % 114.42/114.69 (step @p138 :rule aci_norm :args ((= @t201 @t200))) % 114.42/114.69 (step @p139 :rule cong :premises (@p138) :args ((forall @t7 @t201))) % 114.42/114.69 (step @p140 :rule trans :premises (@p139 @p137)) % 114.42/114.69 (step @p141 :rule aci_norm :args ((= (or @t197 @t202) @t201))) % 114.42/114.69 (step @p142 :rule bool-impl-elim :args (@t21 @t202)) % 114.42/114.69 (step @p143 :rule trans :premises (@p142 @p141)) % 114.42/114.69 (step @p144 :rule cong :premises (@p143) :args ((forall @t7 (=> @t21 @t202)))) % 114.42/114.69 (step @p145 :rule trans :premises (@p144 @p140)) % 114.42/114.69 (step @p146 :rule aci_norm :args ((= (or @t196 @t193 @t197 @t203) @t202))) % 114.42/114.69 (step @p147 :rule aci_norm :args ((= (or @t178 false @t192 @t190) @t203))) % 114.42/114.69 (step @p148 :rule refl :args (@t190)) % 114.42/114.69 (step @p149 :rule refl :args (@t192)) % 114.42/114.69 (step @p150 :rule evaluate :args ((not true))) % 114.42/114.69 (step @p151 :rule eq-refl :args (@t2)) % 114.42/114.69 (step @p152 :rule cong :premises (@p151) :args (@t204)) % 114.42/114.69 (step @p153 :rule trans :premises (@p152 @p150)) % 114.42/114.69 (step @p154 :rule nary_cong :premises (@p117 @p153 @p149 @p148) :args (@t205)) % 114.42/114.69 (step @p155 :rule trans :premises (@p154 @p147)) % 114.42/114.69 (step @p156 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t104) @t215 @t144 @t214 @t212)) @t205))) % 114.42/114.69 (step @p157 :rule refl :args (@t212)) % 114.42/114.69 (step @p158 :rule refl :args (@t214)) % 114.42/114.69 (step @p159 :rule refl :args (@t144)) % 114.42/114.69 (step @p160 :rule refl :args (@t215)) % 114.42/114.69 (step @p161 :rule eq-symm :args (@t2 @t12)) % 114.42/114.69 (step @p162 :rule cong :premises (@p161) :args (@t144)) % 114.42/114.69 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158 @p157) :args (@t216)) % 114.42/114.69 (step @p164 :rule aci_norm :args ((= @t217 @t216))) % 114.42/114.69 (step @p165 :rule trans :premises (@p164 @p163)) % 114.42/114.69 (step @p166 :rule cong :premises (@p165) :args (@t218)) % 114.42/114.69 (step @p167 :rule trans :premises (@p166 @p156)) % 114.42/114.69 (step @p168 :rule trans :premises (@p167 @p155)) % 114.42/114.69 (step @p169 :rule refl :args (@t197)) % 114.42/114.69 (step @p170 :rule refl :args (@t193)) % 114.42/114.69 (step @p171 :rule refl :args (@t196)) % 114.42/114.69 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168) :args (@t219)) % 114.42/114.69 (step @p173 :rule trans :premises (@p172 @p146)) % 114.42/114.69 (step @p174 :rule quant-miniscope-or :args ((= (forall @t16 @t220) @t219))) % 114.42/114.69 (step @p175 :rule aci_norm :args ((= @t221 @t220))) % 114.42/114.69 (step @p176 :rule cong :premises (@p175) :args ((forall @t16 @t221))) % 114.42/114.69 (step @p177 :rule trans :premises (@p176 @p174)) % 114.42/114.69 (step @p178 :rule trans :premises (@p177 @p173)) % 114.42/114.69 (step @p179 :rule aci_norm :args ((= (or @t215 @t222) @t221))) % 114.42/114.69 (step @p180 :rule bool-impl-elim :args (@t15 @t222)) % 114.42/114.69 (step @p181 :rule trans :premises (@p180 @p179)) % 114.42/114.69 (step @p182 :rule cong :premises (@p181) :args ((forall @t16 (=> @t15 @t222)))) % 114.42/114.69 (step @p183 :rule trans :premises (@p182 @p178)) % 114.42/114.69 (step @p184 :rule aci_norm :args ((= (or @t144 @t196 @t193 @t223) @t222))) % 114.42/114.69 (step @p185 :rule aci_norm :args ((= (or @t197 false @t214 @t212) @t223))) % 114.42/114.69 (step @p186 :rule refl :args (@t212)) % 114.42/114.69 (step @p187 :rule refl :args (@t214)) % 114.42/114.69 (step @p188 :rule eq-refl :args (@t1)) % 114.42/114.69 (step @p189 :rule cong :premises (@p188) :args (@t224)) % 114.42/114.69 (step @p190 :rule trans :premises (@p189 @p150)) % 114.42/114.69 (step @p191 :rule nary_cong :premises (@p169 @p190 @p187 @p186) :args (@t225)) % 114.42/114.69 (step @p192 :rule trans :premises (@p191 @p185)) % 114.42/114.69 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t230 @t145 @t229 @t228)) @t225))) % 114.42/114.69 (step @p194 :rule refl :args (@t228)) % 114.42/114.69 (step @p195 :rule refl :args (@t229)) % 114.42/114.69 (step @p196 :rule refl :args (@t145)) % 114.42/114.69 (step @p197 :rule refl :args (@t230)) % 114.42/114.69 (step @p198 :rule eq-symm :args (@t1 @t10)) % 114.42/114.69 (step @p199 :rule cong :premises (@p198) :args (@t145)) % 114.42/114.69 (step @p200 :rule nary_cong :premises (@p199 @p197 @p196 @p195 @p194) :args (@t231)) % 114.42/114.69 (step @p201 :rule aci_norm :args ((= @t232 @t231))) % 114.42/114.69 (step @p202 :rule trans :premises (@p201 @p200)) % 114.42/114.69 (step @p203 :rule cong :premises (@p202) :args (@t233)) % 114.42/114.69 (step @p204 :rule trans :premises (@p203 @p193)) % 114.42/114.69 (step @p205 :rule trans :premises (@p204 @p192)) % 114.42/114.69 (step @p206 :rule refl :args (@t144)) % 114.42/114.69 (step @p207 :rule nary_cong :premises (@p206 @p171 @p170 @p205) :args (@t234)) % 114.42/114.69 (step @p208 :rule trans :premises (@p207 @p184)) % 114.42/114.69 (step @p209 :rule quant-miniscope-or :args ((= (forall @t14 @t235) @t234))) % 114.42/114.69 (step @p210 :rule aci_norm :args ((= @t236 @t235))) % 114.42/114.69 (step @p211 :rule cong :premises (@p210) :args ((forall @t14 @t236))) % 114.42/114.69 (step @p212 :rule trans :premises (@p211 @p209)) % 114.42/114.69 (step @p213 :rule trans :premises (@p212 @p208)) % 114.42/114.69 (step @p214 :rule aci_norm :args ((= (or @t230 (or @t145 @t144 @t196 @t229 @t193 @t228)) @t236))) % 114.42/114.69 (step @p215 :rule refl :args (@t227)) % 114.42/114.69 (step @p216 :rule bool-double-not-elim :args (@t208)) % 114.42/114.69 (step @p217 :rule bool-double-not-elim :args (@t209)) % 114.42/114.69 (step @p218 :rule bool-double-not-elim :args (@t210)) % 114.42/114.69 (step @p219 :rule bool-double-not-elim :args (@t211)) % 114.42/114.69 (step @p220 :rule bool-double-not-elim :args (@t109)) % 114.42/114.69 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218 @p217 @p216 @p215) :args (@t247)) % 114.42/114.69 (step @p222 :rule aci_norm :args ((= (and @t246 (and @t244 (and @t242 (and @t240 (and @t238 @t227))))) @t247))) % 114.42/114.69 (step @p223 :rule trans :premises (@p222 @p221)) % 114.42/114.69 (step @p224 :rule bool-or-de-morgan :args (@t237 @t226 false)) % 114.42/114.69 (step @p225 :rule refl :args (@t240)) % 114.42/114.69 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((and @t240 (not @t248)))) % 114.42/114.69 (step @p227 :rule bool-or-de-morgan :args (@t239 @t237 (or @t226))) % 114.42/114.69 (step @p228 :rule trans :premises (@p227 @p226)) % 114.42/114.69 (step @p229 :rule refl :args (@t242)) % 114.42/114.69 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((and @t242 (not (or @t239 @t237 @t226))))) % 114.42/114.69 (step @p231 :rule bool-or-de-morgan :args (@t241 @t239 (or @t237 @t226))) % 114.42/114.69 (step @p232 :rule trans :premises (@p231 @p230)) % 114.42/114.69 (step @p233 :rule refl :args (@t244)) % 114.42/114.69 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((and @t244 (not (or @t241 @t239 @t237 @t226))))) % 114.42/114.69 (step @p235 :rule bool-or-de-morgan :args (@t243 @t241 (or @t239 @t237 @t226))) % 114.42/114.69 (step @p236 :rule trans :premises (@p235 @p234)) % 114.42/114.69 (step @p237 :rule refl :args (@t246)) % 114.42/114.69 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((and @t246 (not (or @t243 @t241 @t239 @t237 @t226))))) % 114.42/114.69 (step @p239 :rule bool-or-de-morgan :args (@t245 @t243 (or @t241 @t239 @t237 @t226))) % 114.42/114.69 (step @p240 :rule trans :premises (@p239 @p238)) % 114.42/114.69 (step @p241 :rule trans :premises (@p240 @p223)) % 114.42/114.69 (step @p242 :rule refl :args (@t133)) % 114.42/114.69 (step @p243 :rule nary_cong :premises (@p242 @p241) :args (@t250)) % 114.42/114.69 (step @p244 :rule refl :args (@t135)) % 114.42/114.69 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t251)) % 114.42/114.69 (step @p246 :rule refl :args (@t193)) % 114.42/114.69 (step @p247 :rule refl :args (@t196)) % 114.42/114.69 (step @p248 :rule nary_cong :premises (@p196 @p159 @p247 @p195 @p246 @p245) :args (@t252)) % 114.42/114.69 (step @p249 :rule nary_cong :premises (@p197 @p248) :args ((or @t230 @t252))) % 114.42/114.69 (step @p250 :rule trans :premises (@p249 @p214)) % 114.42/114.69 (step @p251 :rule bool-impl-elim :args (@t13 @t252)) % 114.42/114.69 (step @p252 :rule trans :premises (@p251 @p250)) % 114.42/114.69 (step @p253 :rule cong :premises (@p252) :args ((forall @t14 (=> @t13 @t252)))) % 114.42/114.69 (step @p254 :rule trans :premises (@p253 @p213)) % 114.42/114.69 (step @p255 :rule aci_norm :args ((= (or @t245 @t243 @t241 @t239 @t248) @t249))) % 114.42/114.69 (step @p256 :rule aci_norm :args ((= (or @t237 @t226 false) @t248))) % 114.42/114.69 (step @p257 :rule eq-refl :args (@t207)) % 114.42/114.69 (step @p258 :rule cong :premises (@p257) :args (@t253)) % 114.42/114.69 (step @p259 :rule trans :premises (@p258 @p150)) % 114.42/114.69 (step @p260 :rule refl :args (@t226)) % 114.42/114.69 (step @p261 :rule refl :args (@t237)) % 114.42/114.69 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259) :args (@t254)) % 114.42/114.69 (step @p263 :rule trans :premises (@p262 @p256)) % 114.42/114.69 (step @p264 :rule quant-var-elim-eq :args ((= (forall @t31 @t257) @t254))) % 114.42/114.69 (step @p265 :rule aci_norm :args ((= @t258 @t257))) % 114.42/114.69 (step @p266 :rule cong :premises (@p265) :args (@t259)) % 114.42/114.69 (step @p267 :rule trans :premises (@p266 @p264)) % 114.42/114.69 (step @p268 :rule trans :premises (@p267 @p263)) % 114.42/114.69 (step @p269 :rule refl :args (@t239)) % 114.42/114.69 (step @p270 :rule refl :args (@t241)) % 114.42/114.69 (step @p271 :rule refl :args (@t243)) % 114.42/114.69 (step @p272 :rule refl :args (@t245)) % 114.42/114.69 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270 @p269 @p268) :args (@t260)) % 114.42/114.69 (step @p274 :rule trans :premises (@p273 @p255)) % 114.42/114.69 (step @p275 :rule quant-miniscope-or :args ((= (forall @t31 @t261) @t260))) % 114.42/114.69 (step @p276 :rule aci_norm :args ((= @t262 @t261))) % 114.42/114.69 (step @p277 :rule cong :premises (@p276) :args ((forall @t31 @t262))) % 114.42/114.69 (step @p278 :rule trans :premises (@p277 @p275)) % 114.42/114.69 (step @p279 :rule trans :premises (@p278 @p274)) % 114.42/114.69 (step @p280 :rule aci_norm :args ((= (or @t256 @t129 @t263) @t262))) % 114.42/114.69 (step @p281 :rule bool-double-not-elim :args (@t263)) % 114.42/114.69 (step @p282 :rule bool-double-not-elim :args (@t129)) % 114.42/114.69 (step @p283 :rule refl :args (@t256)) % 114.42/114.69 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (@t267)) % 114.42/114.69 (step @p285 :rule aci_norm :args ((= (or @t256 (or @t266 @t265)) @t267))) % 114.42/114.69 (step @p286 :rule trans :premises (@p285 @p284)) % 114.42/114.69 (step @p287 :rule bool-and-de-morgan :args (@t130 @t264 true)) % 114.42/114.69 (step @p288 :rule nary_cong :premises (@p283 @p287) :args ((or @t256 (not (and @t130 @t264))))) % 114.42/114.69 (step @p289 :rule bool-and-de-morgan :args (@t30 @t130 (and @t264))) % 114.42/114.69 (step @p290 :rule trans :premises (@p289 @p288)) % 114.42/114.69 (step @p291 :rule trans :premises (@p290 @p286)) % 114.42/114.69 (step @p292 :rule trans :premises (@p291 @p280)) % 114.42/114.69 (step @p293 :rule cong :premises (@p292) :args (@t269)) % 114.42/114.69 (step @p294 :rule trans :premises (@p293 @p279)) % 114.42/114.69 (step @p295 :rule cong :premises (@p294) :args (@t270)) % 114.42/114.69 (step @p296 :rule exists-elim :args ((= (exists @t31 @t268) @t270))) % 114.42/114.69 (step @p297 :rule trans :premises (@p296 @p295)) % 114.42/114.69 (step @p298 :rule aci_norm :args ((= (or @t245 @t243 @t241 @t271) @t263))) % 114.42/114.69 (step @p299 :rule aci_norm :args ((= (or @t239 false @t255) @t271))) % 114.42/114.69 (step @p300 :rule refl :args (@t255)) % 114.42/114.69 (step @p301 :rule eq-refl :args (@t120)) % 114.42/114.69 (step @p302 :rule cong :premises (@p301) :args (@t272)) % 114.42/114.69 (step @p303 :rule trans :premises (@p302 @p150)) % 114.42/114.69 (step @p304 :rule nary_cong :premises (@p269 @p303 @p300) :args (@t273)) % 114.42/114.69 (step @p305 :rule trans :premises (@p304 @p299)) % 114.42/114.69 (step @p306 :rule quant-var-elim-eq :args ((= (forall @t127 @t278) @t273))) % 114.42/114.69 (step @p307 :rule aci_norm :args ((= @t279 @t278))) % 114.42/114.69 (step @p308 :rule cong :premises (@p307) :args (@t280)) % 114.42/114.69 (step @p309 :rule trans :premises (@p308 @p306)) % 114.42/114.69 (step @p310 :rule trans :premises (@p309 @p305)) % 114.42/114.69 (step @p311 :rule nary_cong :premises (@p272 @p271 @p270 @p310) :args (@t281)) 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(step @p997 :rule bool-double-not-elim :args (@t491)) % 114.42/114.70 (step @p998 :rule refl :args (@t583)) % 114.42/114.70 (step @p999 :rule nary_cong :premises (@p998 @p997 @p801) :args ((or @t583 (not @t492) @t490))) % 114.42/114.70 (step @p1000 :rule cnf_equiv_pos1 :args (@t496)) % 114.42/114.70 (step @p1001 :rule eq_resolve :premises (@p1000 @p999)) % 114.42/114.70 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t491 @t490 @t583))) % 114.42/114.70 (step @p1003 :rule bool-impl-elim :args (@t17 @t584)) % 114.42/114.70 (step @p1004 :rule cong :premises (@p1003) :args ((forall @t9 (=> @t17 @t584)))) % 114.42/114.70 (step @p1005 :rule eq-symm :args (@t106 @t2)) % 114.42/114.70 (step @p1006 :rule cong :premises (@p475 @p1005) :args (@t107)) % 114.42/114.70 (step @p1007 :rule cong :premises (@p1006) :args (@t108)) % 114.42/114.70 (step @p1008 :rule trans :premises (@p1007 @p1004)) % 114.42/114.70 (step @p1009 :rule eq_resolve :premises (@p84 @p1008)) % 114.42/114.70 (step @p1010 :rule instantiate :premises (@p1009) :args (@t420)) % 114.42/114.70 (step @p1011 :rule cnf_or_pos :args (@t587)) % 114.42/114.70 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t359 @t586 (not @t587)))) % 114.42/114.70 (step @p1013 :rule chain_m_resolution :premises (@p1012 @p608 @p1010) :args (@t586 @t402 (@list @t358 @t587))) % 114.42/114.70 (assume-push @p1141 @t451) % 114.42/114.70 (assume-push @p1142 @t431) % 114.42/114.70 (assume-push @p1143 @t586) % 114.42/114.70 (assume-push @p1144 @t488) % 114.42/114.70 (assume-push @p1145 @t575) % 114.42/114.70 (assume-push @p1146 @t575) % 114.42/114.70 (assume-push @p1147 @t488) % 114.42/114.70 (assume-push @p1148 @t451) % 114.42/114.70 (assume-push @p1149 @t431) % 114.42/114.70 (assume-push @p1150 @t586) % 114.42/114.70 (step @p1024 :rule true_intro :premises (@p1145)) % 114.42/114.70 (step @p963 :rule refl :args (@t333)) % 114.42/114.70 (step @p1025 :rule refl :args (tptp.nil)) % 114.42/114.70 (step @p1026 :rule symm :premises (@p1144)) % 114.42/114.70 (step @p953 :rule refl :args (@t331)) % 114.42/114.70 (step @p1027 :rule cong :premises (@p953 @p1141) :args (@t430)) % 114.42/114.70 (step @p1028 :rule trans :premises (@p1142 @p1027 @p1026)) % 114.42/114.70 (step @p1029 :rule cong :premises (@p1028 @p1025) :args (@t585)) % 114.42/114.70 (step @p1030 :rule trans :premises (@p1013 @p1029)) % 114.42/114.70 (step @p1031 :rule cong :premises (@p1030 @p963) :args (@t588)) % 114.42/114.70 (step @p1032 :rule trans :premises (@p1031 @p1024)) % 114.42/114.70 (step @p1033 :rule true_elim :premises (@p1032)) % 114.42/114.70 (step-pop @p1151 :rule scope :premises (@p1033)) % 114.42/114.70 (step-pop @p1152 :rule scope :premises (@p1151)) % 114.42/114.70 (step-pop @p1153 :rule scope :premises (@p1152)) % 114.42/114.70 (step-pop @p1154 :rule scope :premises (@p1153)) % 114.42/114.70 (step-pop @p1155 :rule scope :premises (@p1154)) % 114.42/114.70 (step @p1034 :rule process_scope :premises (@p1155) :args (@t588)) % 114.42/114.70 (step @p1040 :rule and_intro :premises (@p1145 @p1144 @p1141 @p1142 @p1013)) % 114.42/114.70 (step @p1041 :rule modus_ponens :premises (@p1040 @p1034)) % 114.42/114.70 (step-pop @p1156 :rule scope :premises (@p1041)) % 114.42/114.70 (step-pop @p1157 :rule scope :premises (@p1156)) % 114.42/114.70 (step-pop @p1158 :rule scope :premises (@p1157)) % 114.42/114.70 (step-pop @p1159 :rule scope :premises (@p1158)) % 114.42/114.70 (step-pop @p1160 :rule scope :premises (@p1159)) % 114.42/114.70 (step @p1042 :rule process_scope :premises (@p1160) :args (@t588)) % 114.42/114.70 (step @p1048 :rule implies_elim :premises (@p1042)) % 114.42/114.70 (step @p1049 :rule cnf_and_neg :args (@t589)) % 114.42/114.70 (step @p1050 :rule resolution :premises (@p1049 @p1048) :args (true @t589)) % 114.42/114.70 (step @p1051 :rule reordering :premises (@p1050) :args ((or @t588 @t590 @t579 (not @t586) (not @t488) (not @t575)))) % 114.42/114.70 (assume-push @p1161 @t336) % 114.42/114.70 (assume-push @p1162 @t451) % 114.42/114.70 (assume-push @p1163 @t572) % 114.42/114.70 (assume-push @p1164 @t572) % 114.42/114.70 (assume-push @p1165 @t451) % 114.42/114.70 (assume-push @p1166 @t336) % 114.42/114.70 (step @p1058 :rule true_intro :premises (@p1163)) % 114.42/114.70 (step @p963 :rule refl :args (@t333)) % 114.42/114.70 (step @p956 :rule refl :args (@t332)) % 114.42/114.70 (step @p1059 :rule cong :premises (@p1162 @p956) :args (@t334)) % 114.42/114.70 (step @p1060 :rule trans :premises (@p1161 @p1059)) % 114.42/114.70 (step @p1061 :rule cong :premises (@p1060 @p963) :args (@t591)) % 114.42/114.70 (step @p1062 :rule trans :premises (@p1061 @p1058)) % 114.42/114.70 (step @p1063 :rule true_elim :premises (@p1062)) % 114.42/114.70 (step-pop @p1167 :rule scope :premises (@p1063)) % 114.42/114.70 (step-pop @p1168 :rule scope :premises (@p1167)) % 114.42/114.70 (step-pop @p1169 :rule scope :premises (@p1168)) % 114.42/114.70 (step @p1064 :rule process_scope :premises (@p1169) :args (@t591)) % 114.42/114.70 (step @p1068 :rule and_intro :premises (@p1163 @p1162 @p1161)) % 114.42/114.70 (step @p1069 :rule modus_ponens :premises (@p1068 @p1064)) % 114.42/114.70 (step-pop @p1170 :rule scope :premises (@p1069)) % 114.42/114.70 (step-pop @p1171 :rule scope :premises (@p1170)) % 114.42/114.70 (step-pop @p1172 :rule scope :premises (@p1171)) % 114.42/114.70 (step @p1070 :rule process_scope :premises (@p1172) :args (@t591)) % 114.42/114.70 (step @p1074 :rule implies_elim :premises (@p1070)) % 114.42/114.70 (step @p1075 :rule cnf_and_neg :args (@t592)) % 114.42/114.70 (step @p1076 :rule resolution :premises (@p1075 @p1074) :args (true @t592)) % 114.42/114.70 (step @p1077 :rule reordering :premises (@p1076) :args ((or @t337 @t591 @t590 (not @t572)))) % 114.42/114.70 (step @p1078 :rule instantiate :premises (@p577) :args (@t449)) % 114.42/114.70 (step @p1079 :rule cnf_or_pos :args (@t596)) % 114.42/114.70 (step @p1080 :rule reordering :premises (@p1079) :args ((or @t452 @t593 @t594 @t595 (not @t596)))) % 114.42/114.70 (step @p1081 :rule chain_m_resolution :premises (@p1080 @p1078 @p1077 @p1051 @p1013 @p1002 @p996 @p936 @p927 @p924 @p17 @p923 @p920 @p17 @p843 @p841 @p840 @p838 @p837 @p835 @p814 @p812 @p17 @p797 @p795 @p17 @p744 @p742 @p741 @p739 @p731 @p729 @p17 @p708 @p706 @p608 @p679 @p677 @p608 @p652 @p650 @p608 @p623 @p617 @p613 @p611 @p587 @p586 @p580 @p578 @p571 @p558 @p564 @p563) :args (@t406 (@list false false false false false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false true false true false false false true true) (@list @t596 @t591 @t588 @t586 @t490 @t491 @t336 @t575 @t576 @t45 @t572 @t574 @t45 @t514 @t515 @t512 @t513 @t338 @t510 @t496 @t497 @t45 @t488 @t489 @t45 @t454 @t455 @t451 @t453 @t340 @t447 @t45 @t431 @t434 @t358 @t339 @t426 @t358 @t341 @t421 @t358 @t342 @t411 @t350 @t409 @t343 @t344 @t403 @t407 @t400 @t356 @t346 @t348))) % 114.42/114.70 (step @p1082 :rule bool-double-not-elim :args (@t349)) % 114.42/114.70 (step @p1083 :rule refl :args (@t597)) % 114.42/114.70 (step @p1084 :rule nary_cong :premises (@p1083 @p494 @p1082) :args ((or @t597 @t347 (not @t393)))) % 114.42/114.70 (step @p1085 :rule cnf_equiv_pos2 :args (@t394)) % 114.42/114.70 (step @p1086 :rule eq_resolve :premises (@p1085 @p1084)) % 114.42/114.70 (step @p1087 :rule reordering :premises (@p1086) :args ((or @t349 @t347 @t597))) % 114.42/114.70 (step @p1088 :rule chain_m_resolution :premises (@p1087 @p1081 @p561) :args (@t349 @t598 (@list @t347 @t394))) % 114.42/114.70 (step @p1089 :rule cnf_or_neg :args (@t360 3)) % 114.42/114.70 (step @p1090 :rule chain_m_resolution :premises (@p1089 @p515) :args ((not @t353) @t373 @t374)) % 114.42/114.70 (step @p1091 :rule cnf_and_neg :args (@t353)) % 114.42/114.70 (step @p1092 :rule reordering :premises (@p1091) :args ((or @t353 @t351 @t393))) % 114.42/114.70 (step @p1093 :rule chain_m_resolution :premises (@p1092 @p1090 @p1088) :args (@t351 @t598 (@list @t353 @t349))) % 114.42/114.70 (step @p1094 :rule refl :args (@t393)) % 114.42/114.70 (step @p1095 :rule refl :args (@t352)) % 114.42/114.70 (step @p1096 :rule nary_cong :premises (@p1095 @p618 @p1094) :args ((or @t352 @t414 @t393))) % 114.42/114.70 (step @p1097 :rule cnf_and_neg :args (@t352)) % 114.42/114.70 (step @p1098 :rule eq_resolve :premises (@p1097 @p1096)) % 114.42/114.70 (step @p1099 :rule reordering :premises (@p1098) :args ((or @t350 @t352 @t393))) % 114.42/114.70 (step @p1100 false :rule chain_m_resolution :premises (@p1099 @p1093 @p1088 @p517) :args (false (@list true false true) (@list @t350 @t349 @t352))) % 114.42/114.70 ) % 114.42/114.70 % SZS output end Proof % 114.42/114.70 % cvc5 exiting %------------------------------------------------------------------------------