%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC089+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:00 AM UTC 2026 % Result : Theorem 113.94s 114.19s % Output : Proof 113.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC089+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 19:14:19 EDT 2026 % 0.14/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 113.94/114.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 113.94/114.19 --- Run --no-e-matching --full-saturate-quant at 6... % 113.94/114.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 113.94/114.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 113.94/114.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 113.94/114.19 --- Run --trigger-sel=max --full-saturate-quant at 15... % 113.94/114.19 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.94/114.19 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.94/114.19 % SZS status Theorem % 113.94/114.19 % SZS output start Proof % 113.94/114.19 ( % 113.94/114.19 (declare-sort $$unsorted 0) % 113.94/114.19 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 113.94/114.19 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 113.94/114.19 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 113.94/114.19 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 113.94/114.19 (declare-const tptp.nil $$unsorted) % 113.94/114.19 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.ssList (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 113.94/114.19 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 113.94/114.19 (define @t1 () (@var "V" $$unsorted)) % 113.94/114.19 (define @t2 () (@var "U" $$unsorted)) % 113.94/114.19 (define @t3 () (= @t2 @t1)) % 113.94/114.19 (define @t4 () (not @t3)) % 113.94/114.19 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 113.94/114.19 (define @t6 () (tptp.ssItem @t1)) % 113.94/114.19 (define @t7 () (@list @t1)) % 113.94/114.19 (define @t8 () (tptp.ssItem @t2)) % 113.94/114.19 (define @t9 () (@list @t2)) % 113.94/114.19 (define @t10 () (@var "X" $$unsorted)) % 113.94/114.19 (define @t11 () (tptp.cons @t1 @t10)) % 113.94/114.19 (define @t12 () (@var "W" $$unsorted)) % 113.94/114.19 (define @t13 () (tptp.ssList @t10)) % 113.94/114.19 (define @t14 () (@list @t10)) % 113.94/114.19 (define @t15 () (tptp.ssList @t12)) % 113.94/114.19 (define @t16 () (@list @t12)) % 113.94/114.19 (define @t17 () (tptp.ssList @t2)) % 113.94/114.19 (define @t18 () (tptp.cons @t1 tptp.nil)) % 113.94/114.19 (define @t19 () (tptp.app @t1 @t12)) % 113.94/114.19 (define @t20 () (tptp.frontsegP @t2 @t1)) % 113.94/114.19 (define @t21 () (tptp.ssList @t1)) % 113.94/114.19 (define @t22 () (tptp.app @t12 @t1)) % 113.94/114.19 (define @t23 () (tptp.rearsegP @t2 @t1)) % 113.94/114.19 (define @t24 () (tptp.segmentP @t2 @t1)) % 113.94/114.19 (define @t25 () (tptp.leq @t12 @t1)) % 113.94/114.19 (define @t26 () (tptp.leq @t1 @t12)) % 113.94/114.19 (define @t27 () (@var "Z" $$unsorted)) % 113.94/114.19 (define @t28 () (@var "Y" $$unsorted)) % 113.94/114.19 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 113.94/114.19 (define @t30 () (tptp.ssList @t27)) % 113.94/114.19 (define @t31 () (@list @t27)) % 113.94/114.19 (define @t32 () (tptp.ssList @t28)) % 113.94/114.19 (define @t33 () (@list @t28)) % 113.94/114.19 (define @t34 () (tptp.ssItem @t12)) % 113.94/114.19 (define @t35 () (tptp.lt @t1 @t12)) % 113.94/114.19 (define @t36 () (= @t1 @t12)) % 113.94/114.19 (define @t37 () (forall @t7 (=> @t21 @t5))) % 113.94/114.19 (define @t38 () (=> @t17 @t37)) % 113.94/114.19 (define @t39 () (forall @t9 @t38)) % 113.94/114.19 (define @t40 () (tptp.cons @t1 @t2)) % 113.94/114.19 (define @t41 () (tptp.ssList @t40)) % 113.94/114.19 (define @t42 () (forall @t7 (=> @t6 @t41))) % 113.94/114.19 (define @t43 () (=> @t17 @t42)) % 113.94/114.19 (define @t44 () (forall @t9 @t43)) % 113.94/114.19 (define @t45 () (tptp.ssList tptp.nil)) % 113.94/114.19 (define @t46 () (= @t1 @t2)) % 113.94/114.19 (define @t47 () (tptp.cons @t12 @t1)) % 113.94/114.19 (define @t48 () (= tptp.nil @t2)) % 113.94/114.19 (define @t49 () (tptp.hd @t2)) % 113.94/114.19 (define @t50 () (tptp.ssItem @t49)) % 113.94/114.19 (define @t51 () (not @t48)) % 113.94/114.19 (define @t52 () (=> @t51 @t50)) % 113.94/114.19 (define @t53 () (=> @t17 @t52)) % 113.94/114.19 (define @t54 () (forall @t9 @t53)) % 113.94/114.19 (define @t55 () (tptp.tl @t2)) % 113.94/114.19 (define @t56 () (tptp.ssList @t55)) % 113.94/114.19 (define @t57 () (=> @t51 @t56)) % 113.94/114.19 (define @t58 () (=> @t17 @t57)) % 113.94/114.19 (define @t59 () (forall @t9 @t58)) % 113.94/114.19 (define @t60 () (tptp.app @t2 @t1)) % 113.94/114.19 (define @t61 () (tptp.ssList @t60)) % 113.94/114.19 (define @t62 () (forall @t7 (=> @t21 @t61))) % 113.94/114.19 (define @t63 () (=> @t17 @t62)) % 113.94/114.19 (define @t64 () (forall @t9 @t63)) % 113.94/114.19 (define @t65 () (tptp.app @t1 @t2)) % 113.94/114.19 (define @t66 () (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))) % 113.94/114.19 (define @t67 () (forall @t16 (=> @t34 @t66))) % 113.94/114.19 (define @t68 () (=> @t21 @t67)) % 113.94/114.19 (define @t69 () (forall @t7 @t68)) % 113.94/114.19 (define @t70 () (=> @t17 @t69)) % 113.94/114.19 (define @t71 () (forall @t9 @t70)) % 113.94/114.19 (define @t72 () (tptp.app tptp.nil @t2)) % 113.94/114.19 (define @t73 () (=> @t17 (= @t72 @t2))) % 113.94/114.19 (define @t74 () (forall @t9 @t73)) % 113.94/114.19 (define @t75 () (tptp.leq @t1 @t2)) % 113.94/114.19 (define @t76 () (tptp.leq @t2 @t1)) % 113.94/114.19 (define @t77 () (tptp.geq @t2 @t1)) % 113.94/114.19 (define @t78 () (tptp.lt @t1 @t2)) % 113.94/114.19 (define @t79 () (tptp.lt @t2 @t1)) % 113.94/114.19 (define @t80 () (tptp.lt @t2 @t12)) % 113.94/114.19 (define @t81 () (tptp.gt @t2 @t1)) % 113.94/114.19 (define @t82 () (tptp.memberP @t12 @t2)) % 113.94/114.19 (define @t83 () (tptp.app @t12 @t2)) % 113.94/114.19 (define @t84 () (tptp.segmentP @t2 @t2)) % 113.94/114.19 (define @t85 () (forall @t9 (=> @t17 @t84))) % 113.94/114.19 (define @t86 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 113.94/114.19 (define @t87 () (=> @t24 @t86)) % 113.94/114.19 (define @t88 () (forall @t14 (=> @t13 @t87))) % 113.94/114.19 (define @t89 () (=> @t15 @t88)) % 113.94/114.19 (define @t90 () (forall @t16 @t89)) % 113.94/114.19 (define @t91 () (=> @t21 @t90)) % 113.94/114.19 (define @t92 () (forall @t7 @t91)) % 113.94/114.19 (define @t93 () (=> @t17 @t92)) % 113.94/114.19 (define @t94 () (forall @t9 @t93)) % 113.94/114.19 (define @t95 () (tptp.cons @t2 tptp.nil)) % 113.94/114.19 (define @t96 () (tptp.hd @t1)) % 113.94/114.19 (define @t97 () (= tptp.nil @t1)) % 113.94/114.19 (define @t98 () (not @t97)) % 113.94/114.19 (define @t99 () (tptp.cons @t2 @t1)) % 113.94/114.19 (define @t100 () (tptp.cons @t49 @t55)) % 113.94/114.19 (define @t101 () (=> @t51 (= @t100 @t2))) % 113.94/114.19 (define @t102 () (=> @t17 @t101)) % 113.94/114.19 (define @t103 () (forall @t9 @t102)) % 113.94/114.19 (define @t104 () (= @t12 @t2)) % 113.94/114.19 (define @t105 () (= @t40 (tptp.app @t18 @t2))) % 113.94/114.19 (define @t106 () (forall @t7 (=> @t6 @t105))) % 113.94/114.19 (define @t107 () (=> @t17 @t106)) % 113.94/114.19 (define @t108 () (forall @t9 @t107)) % 113.94/114.19 (define @t109 () (tptp.app @t2 tptp.nil)) % 113.94/114.19 (define @t110 () (=> @t17 (= @t109 @t2))) % 113.94/114.19 (define @t111 () (forall @t9 @t110)) % 113.94/114.19 (define @t112 () (tptp.neq tptp.nil @t12)) % 113.94/114.19 (define @t113 () (@var "X3" $$unsorted)) % 113.94/114.19 (define @t114 () (tptp.hd @t12)) % 113.94/114.19 (define @t115 () (@var "X2" $$unsorted)) % 113.94/114.19 (define @t116 () (tptp.cons @t113 tptp.nil)) % 113.94/114.19 (define @t117 () (tptp.ssItem @t113)) % 113.94/114.19 (define @t118 () (and @t117 (= @t116 @t115) (= @t114 @t113) @t112)) % 113.94/114.19 (define @t119 () (@list @t113)) % 113.94/114.19 (define @t120 () (exists @t119 @t118)) % 113.94/114.19 (define @t121 () (@var "X1" $$unsorted)) % 113.94/114.19 (define @t122 () (tptp.app @t121 @t115)) % 113.94/114.19 (define @t123 () (tptp.tl @t12)) % 113.94/114.19 (define @t124 () (tptp.ssList @t115)) % 113.94/114.19 (define @t125 () (and @t124 (= @t123 @t121) (= @t122 @t27) @t120 @t112)) % 113.94/114.19 (define @t126 () (@list @t115)) % 113.94/114.19 (define @t127 () (exists @t126 @t125)) % 113.94/114.19 (define @t128 () (tptp.ssList @t121)) % 113.94/114.19 (define @t129 () (and @t128 @t127)) % 113.94/114.19 (define @t130 () (@list @t121)) % 113.94/114.19 (define @t131 () (exists @t130 @t129)) % 113.94/114.19 (define @t132 () (= @t10 @t27)) % 113.94/114.19 (define @t133 () (not @t132)) % 113.94/114.19 (define @t134 () (and @t30 @t133 @t131)) % 113.94/114.19 (define @t135 () (exists @t31 @t134)) % 113.94/114.19 (define @t136 () (not (tptp.neq @t12 tptp.nil))) % 113.94/114.19 (define @t137 () (or @t136 @t135)) % 113.94/114.19 (define @t138 () (tptp.neq @t10 tptp.nil)) % 113.94/114.19 (define @t139 () (and @t138 @t137)) % 113.94/114.19 (define @t140 () (not (= tptp.nil @t12))) % 113.94/114.19 (define @t141 () (and @t140 (= tptp.nil @t10))) % 113.94/114.19 (define @t142 () (tptp.segmentP @t2 @t28)) % 113.94/114.19 (define @t143 () (tptp.segmentP @t1 @t28)) % 113.94/114.19 (define @t144 () (tptp.neq @t28 tptp.nil)) % 113.94/114.19 (define @t145 () (and @t32 @t144 @t143 @t142)) % 113.94/114.19 (define @t146 () (exists @t33 @t145)) % 113.94/114.19 (define @t147 () (tptp.neq @t1 tptp.nil)) % 113.94/114.19 (define @t148 () (not @t147)) % 113.94/114.19 (define @t149 () (not (= @t2 @t12))) % 113.94/114.19 (define @t150 () (not (= @t1 @t10))) % 113.94/114.19 (define @t151 () (or @t150 @t149 @t148 @t146 @t141 @t139)) % 113.94/114.19 (define @t152 () (=> @t13 @t151)) % 113.94/114.19 (define @t153 () (forall @t14 @t152)) % 113.94/114.19 (define @t154 () (=> @t15 @t153)) % 113.94/114.19 (define @t155 () (forall @t16 @t154)) % 113.94/114.19 (define @t156 () (=> @t21 @t155)) % 113.94/114.19 (define @t157 () (forall @t7 @t156)) % 113.94/114.19 (define @t158 () (=> @t17 @t157)) % 113.94/114.19 (define @t159 () (forall @t9 @t158)) % 113.94/114.19 (define @t160 () (not @t159)) % 113.94/114.19 (define @t161 () (= @t2 tptp.nil)) % 113.94/114.19 (define @t162 () (not @t17)) % 113.94/114.19 (define @t163 () (or @t162 @t161 @t56)) % 113.94/114.19 (define @t164 () (not @t161)) % 113.94/114.19 (define @t165 () (not @t164)) % 113.94/114.19 (define @t166 () (=> @t164 @t56)) % 113.94/114.19 (define @t167 () (@var "BOUND_VARIABLE_11132" $$unsorted)) % 113.94/114.19 (define @t168 () (tptp.cons @t49 tptp.nil)) % 113.94/114.19 (define @t169 () (tptp.app @t55 @t168)) % 113.94/114.19 (define @t170 () (tptp.ssList @t169)) % 113.94/114.19 (define @t171 () (tptp.ssList @t168)) % 113.94/114.19 (define @t172 () (tptp.neq tptp.nil @t2)) % 113.94/114.19 (define @t173 () (not (tptp.neq @t2 tptp.nil))) % 113.94/114.19 (define @t174 () (tptp.neq @t167 tptp.nil)) % 113.94/114.19 (define @t175 () (not @t142)) % 113.94/114.19 (define @t176 () (not @t144)) % 113.94/114.19 (define @t177 () (not @t32)) % 113.94/114.19 (define @t178 () (not (forall @t33 (or @t177 @t176 (not (tptp.segmentP @t167 @t28)) @t175)))) % 113.94/114.19 (define @t179 () (not @t174)) % 113.94/114.19 (define @t180 () (not (tptp.ssList @t167))) % 113.94/114.19 (define @t181 () (@list @t2 @t167)) % 113.94/114.19 (define @t182 () (forall @t181 (or @t162 @t180 @t179 @t178 (and @t164 (= tptp.nil @t167)) (and @t174 (or @t173 (and @t172 @t50 @t171 @t56 @t170 (not (= @t169 @t167)))))))) % 113.94/114.19 (define @t183 () (@quantifiers_skolemize @t182 0)) % 113.94/114.19 (define @t184 () (tptp.tl @t183)) % 113.94/114.19 (define @t185 () (tptp.ssList @t184)) % 113.94/114.19 (define @t186 () (tptp.ssList @t183)) % 113.94/114.19 (define @t187 () (not @t186)) % 113.94/114.19 (define @t188 () (= @t183 tptp.nil)) % 113.94/114.19 (define @t189 () (or @t187 @t188 @t185)) % 113.94/114.19 (define @t190 () (forall @t9 @t163)) % 113.94/114.19 (define @t191 () (@list @t183)) % 113.94/114.19 (define @t192 () (= tptp.nil @t183)) % 113.94/114.19 (define @t193 () (or @t187 @t192 @t185)) % 113.94/114.19 (define @t194 () (@list false)) % 113.94/114.19 (define @t195 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 113.94/114.19 (define @t196 () (= (tptp.neq @t2 @t195) (not (= @t2 @t195)))) % 113.94/114.19 (define @t197 () (not (tptp.ssList @t195))) % 113.94/114.19 (define @t198 () (or @t162 @t197 @t196)) % 113.94/114.19 (define @t199 () (or @t197 @t196)) % 113.94/114.19 (define @t200 () (or @t162 @t199)) % 113.94/114.19 (define @t201 () (@list @t2 @t195)) % 113.94/114.19 (define @t202 () (forall @t201 @t200)) % 113.94/114.19 (define @t203 () (@list @t195)) % 113.94/114.19 (define @t204 () (forall @t203 @t200)) % 113.94/114.19 (define @t205 () (forall @t203 @t199)) % 113.94/114.19 (define @t206 () (@list @t1)) % 113.94/114.19 (define @t207 () (or @t162 @t205)) % 113.94/114.19 (define @t208 () (not @t21)) % 113.94/114.19 (define @t209 () (forall @t7 (or @t208 @t5))) % 113.94/114.19 (define @t210 () (tptp.neq tptp.nil tptp.nil)) % 113.94/114.19 (define @t211 () (not (= tptp.nil tptp.nil))) % 113.94/114.19 (define @t212 () (= @t210 @t211)) % 113.94/114.19 (define @t213 () (not @t45)) % 113.94/114.19 (define @t214 () (or @t213 @t213 @t212)) % 113.94/114.19 (define @t215 () (forall @t201 @t198)) % 113.94/114.19 (define @t216 () (not @t210)) % 113.94/114.19 (define @t217 () (or @t213 @t213 @t216)) % 113.94/114.19 (define @t218 () (@list @t215)) % 113.94/114.19 (define @t219 () (@list false false)) % 113.94/114.19 (define @t220 () (not (= @t167 @t169))) % 113.94/114.19 (define @t221 () (and @t172 @t50 @t171 @t56 @t170 @t220)) % 113.94/114.19 (define @t222 () (or @t173 @t221)) % 113.94/114.19 (define @t223 () (and @t174 @t222)) % 113.94/114.19 (define @t224 () (and @t164 (= @t167 tptp.nil))) % 113.94/114.19 (define @t225 () (or @t162 @t180 @t179 @t178 @t224 @t223)) % 113.94/114.19 (define @t226 () (or @t180 @t179 @t178 @t224 @t223)) % 113.94/114.19 (define @t227 () (or @t162 @t226)) % 113.94/114.19 (define @t228 () (forall @t181 @t227)) % 113.94/114.19 (define @t229 () (@list @t167)) % 113.94/114.19 (define @t230 () (forall @t229 @t227)) % 113.94/114.19 (define @t231 () (forall @t229 @t226)) % 113.94/114.19 (define @t232 () (or @t162 @t231)) % 113.94/114.19 (define @t233 () (and @t147 (or @t173 (and @t172 @t50 @t171 @t56 @t170 (not (= @t1 @t169)))))) % 113.94/114.19 (define @t234 () (= @t1 tptp.nil)) % 113.94/114.19 (define @t235 () (and @t164 @t234)) % 113.94/114.19 (define @t236 () (not @t143)) % 113.94/114.19 (define @t237 () (or @t177 @t176 @t236 @t175)) % 113.94/114.19 (define @t238 () (not (forall @t33 @t237))) % 113.94/114.19 (define @t239 () (or @t208 @t148 @t238 @t235 @t233)) % 113.94/114.19 (define @t240 () (or @t162 (forall @t7 @t239))) % 113.94/114.19 (define @t241 () (or @t162 @t239)) % 113.94/114.19 (define @t242 () (or @t208 @t148 @t238 @t162 @t235 @t233)) % 113.94/114.19 (define @t243 () (or @t148 @t238 @t208 @t162 @t235 @t233)) % 113.94/114.19 (define @t244 () (or @t162 @t235 @t233)) % 113.94/114.19 (define @t245 () (not (= @t2 @t2))) % 113.94/114.19 (define @t246 () (or @t162 @t245 @t235 @t233)) % 113.94/114.19 (define @t247 () (tptp.cons @t114 tptp.nil)) % 113.94/114.19 (define @t248 () (tptp.app @t123 @t247)) % 113.94/114.19 (define @t249 () (tptp.ssList @t248)) % 113.94/114.19 (define @t250 () (tptp.ssList @t123)) % 113.94/114.19 (define @t251 () (tptp.ssList @t247)) % 113.94/114.19 (define @t252 () (tptp.ssItem @t114)) % 113.94/114.19 (define @t253 () (and @t147 (or @t136 (and @t112 @t252 @t251 @t250 @t249 (not (= @t1 @t248)))))) % 113.94/114.19 (define @t254 () (not (= @t12 tptp.nil))) % 113.94/114.19 (define @t255 () (and @t254 @t234)) % 113.94/114.19 (define @t256 () (not @t15)) % 113.94/114.19 (define @t257 () (or @t149 @t256 @t149 @t255 @t253)) % 113.94/114.19 (define @t258 () (or @t256 @t149 @t255 @t253)) % 113.94/114.19 (define @t259 () (forall @t16 @t258)) % 113.94/114.19 (define @t260 () (or @t148 @t238 @t208 @t259)) % 113.94/114.19 (define @t261 () (or @t148 @t238 @t208 @t258)) % 113.94/114.19 (define @t262 () (or @t256 @t149 @t148 @t238 @t208 @t255 @t253)) % 113.94/114.19 (define @t263 () (or @t149 @t148 @t238 @t208 @t255 @t253)) % 113.94/114.19 (define @t264 () (or @t208 @t255 @t253)) % 113.94/114.19 (define @t265 () (not (= @t1 @t1))) % 113.94/114.19 (define @t266 () (or @t208 @t265 @t255 @t253)) % 113.94/114.19 (define @t267 () (= @t10 @t248)) % 113.94/114.19 (define @t268 () (not @t267)) % 113.94/114.19 (define @t269 () (and @t138 (or @t136 (and @t112 @t252 @t251 @t250 @t249 @t268)))) % 113.94/114.19 (define @t270 () (and @t254 (= @t10 tptp.nil))) % 113.94/114.19 (define @t271 () (not @t13)) % 113.94/114.19 (define @t272 () (or @t150 @t271 @t150 @t270 @t269)) % 113.94/114.19 (define @t273 () (or @t271 @t150 @t270 @t269)) % 113.94/114.19 (define @t274 () (forall @t14 @t273)) % 113.94/114.19 (define @t275 () (or @t149 @t148 @t238 @t274)) % 113.94/114.19 (define @t276 () (or @t149 @t148 @t238 @t273)) % 113.94/114.19 (define @t277 () (or @t271 @t150 @t149 @t148 @t238 @t270 @t269)) % 113.94/114.19 (define @t278 () (not @t249)) % 113.94/114.19 (define @t279 () (not @t278)) % 113.94/114.19 (define @t280 () (not @t250)) % 113.94/114.19 (define @t281 () (not @t280)) % 113.94/114.19 (define @t282 () (not @t251)) % 113.94/114.19 (define @t283 () (not @t282)) % 113.94/114.19 (define @t284 () (not @t252)) % 113.94/114.19 (define @t285 () (not @t284)) % 113.94/114.19 (define @t286 () (not @t112)) % 113.94/114.19 (define @t287 () (not @t286)) % 113.94/114.19 (define @t288 () (and @t287 @t285 @t283 @t281 @t279 @t268)) % 113.94/114.19 (define @t289 () (or @t278 @t267)) % 113.94/114.19 (define @t290 () (or @t286 @t284 @t282 @t280 @t278 @t267)) % 113.94/114.19 (define @t291 () (or @t136 (not @t290))) % 113.94/114.19 (define @t292 () (and @t138 @t291)) % 113.94/114.19 (define @t293 () (or @t150 @t149 @t148 @t238 @t270 @t292)) % 113.94/114.19 (define @t294 () (not (= @t248 @t248))) % 113.94/114.19 (define @t295 () (or @t278 @t267 @t294)) % 113.94/114.19 (define @t296 () (not (= @t27 @t248))) % 113.94/114.19 (define @t297 () (not @t30)) % 113.94/114.19 (define @t298 () (or @t296 @t297 @t132 @t296)) % 113.94/114.19 (define @t299 () (or @t297 @t132 @t296)) % 113.94/114.19 (define @t300 () (forall @t31 @t299)) % 113.94/114.19 (define @t301 () (or @t286 @t284 @t282 @t280 @t300)) % 113.94/114.19 (define @t302 () (or @t286 @t284 @t282 @t280 @t299)) % 113.94/114.19 (define @t303 () (or @t297 @t132 @t286 @t284 @t282 @t280 @t296)) % 113.94/114.19 (define @t304 () (or @t286 @t284 @t282 @t280 @t296)) % 113.94/114.19 (define @t305 () (not @t304)) % 113.94/114.19 (define @t306 () (not @t305)) % 113.94/114.19 (define @t307 () (not @t133)) % 113.94/114.19 (define @t308 () (or @t297 @t307 @t306)) % 113.94/114.19 (define @t309 () (and @t30 @t133 @t305)) % 113.94/114.19 (define @t310 () (forall @t31 (not @t309))) % 113.94/114.19 (define @t311 () (not @t310)) % 113.94/114.19 (define @t312 () (or @t280 @t296)) % 113.94/114.19 (define @t313 () (not (= @t123 @t123))) % 113.94/114.19 (define @t314 () (or @t280 @t313 @t296)) % 113.94/114.19 (define @t315 () (not (= @t27 (tptp.app @t121 @t247)))) % 113.94/114.19 (define @t316 () (= @t121 @t123)) % 113.94/114.19 (define @t317 () (not @t316)) % 113.94/114.19 (define @t318 () (not @t128)) % 113.94/114.19 (define @t319 () (or @t317 @t318 @t317 @t315)) % 113.94/114.19 (define @t320 () (or @t318 @t317 @t315)) % 113.94/114.19 (define @t321 () (forall @t130 @t320)) % 113.94/114.19 (define @t322 () (or @t286 @t284 @t282 @t321)) % 113.94/114.19 (define @t323 () (or @t286 @t284 @t282 @t320)) % 113.94/114.19 (define @t324 () (or @t318 @t317 @t286 @t284 @t282 @t315)) % 113.94/114.19 (define @t325 () (or @t317 @t286 @t284 @t282 @t315)) % 113.94/114.19 (define @t326 () (not @t325)) % 113.94/114.19 (define @t327 () (and @t128 @t326)) % 113.94/114.19 (define @t328 () (forall @t130 (not @t327))) % 113.94/114.19 (define @t329 () (not @t328)) % 113.94/114.19 (define @t330 () (or @t282 @t315)) % 113.94/114.19 (define @t331 () (not (= @t247 @t247))) % 113.94/114.19 (define @t332 () (or @t282 @t315 @t331)) % 113.94/114.19 (define @t333 () (not (= @t115 @t247))) % 113.94/114.19 (define @t334 () (= @t27 @t122)) % 113.94/114.19 (define @t335 () (not @t334)) % 113.94/114.19 (define @t336 () (not @t124)) % 113.94/114.19 (define @t337 () (or @t333 @t336 @t335 @t333)) % 113.94/114.19 (define @t338 () (or @t336 @t335 @t333)) % 113.94/114.19 (define @t339 () (forall @t126 @t338)) % 113.94/114.19 (define @t340 () (or @t317 @t286 @t284 @t339)) % 113.94/114.19 (define @t341 () (or @t317 @t286 @t284 @t338)) % 113.94/114.19 (define @t342 () (or @t336 @t317 @t335 @t286 @t284 @t333)) % 113.94/114.19 (define @t343 () (or @t286 @t284 @t333)) % 113.94/114.19 (define @t344 () (not @t343)) % 113.94/114.19 (define @t345 () (not @t344)) % 113.94/114.19 (define @t346 () (or @t336 @t317 @t335 @t345 @t286)) % 113.94/114.19 (define @t347 () (and @t124 @t316 @t334 @t344 @t112)) % 113.94/114.19 (define @t348 () (forall @t126 (not @t347))) % 113.94/114.19 (define @t349 () (not @t348)) % 113.94/114.19 (define @t350 () (or @t284 @t333)) % 113.94/114.19 (define @t351 () (not (= @t114 @t114))) % 113.94/114.19 (define @t352 () (or @t284 @t333 @t351)) % 113.94/114.19 (define @t353 () (= @t113 @t114)) % 113.94/114.19 (define @t354 () (not @t353)) % 113.94/114.19 (define @t355 () (= @t115 @t116)) % 113.94/114.19 (define @t356 () (not @t355)) % 113.94/114.19 (define @t357 () (not @t117)) % 113.94/114.19 (define @t358 () (or @t354 @t357 @t356 @t354)) % 113.94/114.19 (define @t359 () (or @t357 @t356 @t354)) % 113.94/114.19 (define @t360 () (forall @t119 @t359)) % 113.94/114.19 (define @t361 () (or @t286 @t360)) % 113.94/114.19 (define @t362 () (or @t286 @t359)) % 113.94/114.19 (define @t363 () (or @t357 @t356 @t354 @t286)) % 113.94/114.19 (define @t364 () (and @t117 @t355 @t353 @t112)) % 113.94/114.19 (define @t365 () (forall @t119 (not @t364))) % 113.94/114.19 (define @t366 () (not @t365)) % 113.94/114.19 (define @t367 () (forall @t33 (not @t145))) % 113.94/114.19 (define @t368 () (not @t367)) % 113.94/114.19 (define @t369 () (tptp.hd @t183)) % 113.94/114.19 (define @t370 () (tptp.cons @t369 tptp.nil)) % 113.94/114.19 (define @t371 () (tptp.app @t184 @t370)) % 113.94/114.19 (define @t372 () (@quantifiers_skolemize @t182 1)) % 113.94/114.19 (define @t373 () (= @t372 @t371)) % 113.94/114.19 (define @t374 () (not @t373)) % 113.94/114.19 (define @t375 () (tptp.ssList @t371)) % 113.94/114.19 (define @t376 () (tptp.ssList @t370)) % 113.94/114.19 (define @t377 () (tptp.ssItem @t369)) % 113.94/114.19 (define @t378 () (tptp.neq tptp.nil @t183)) % 113.94/114.19 (define @t379 () (and @t378 @t377 @t376 @t185 @t375 @t374)) % 113.94/114.19 (define @t380 () (tptp.neq @t183 tptp.nil)) % 113.94/114.19 (define @t381 () (not @t380)) % 113.94/114.19 (define @t382 () (or @t381 @t379)) % 113.94/114.19 (define @t383 () (tptp.neq @t372 tptp.nil)) % 113.94/114.19 (define @t384 () (and @t383 @t382)) % 113.94/114.19 (define @t385 () (= tptp.nil @t372)) % 113.94/114.19 (define @t386 () (not @t192)) % 113.94/114.19 (define @t387 () (forall @t33 (or @t177 @t176 (not (tptp.segmentP @t372 @t28)) (not (tptp.segmentP @t183 @t28))))) % 113.94/114.19 (define @t388 () (not @t387)) % 113.94/114.19 (define @t389 () (not @t383)) % 113.94/114.19 (define @t390 () (tptp.ssList @t372)) % 113.94/114.19 (define @t391 () (not @t390)) % 113.94/114.19 (define @t392 () (or @t187 @t391 @t389 @t388 (and @t386 @t385) @t384)) % 113.94/114.19 (define @t393 () (not @t392)) % 113.94/114.19 (define @t394 () (not @t182)) % 113.94/114.19 (define @t395 () (not (= @t371 @t372))) % 113.94/114.19 (define @t396 () (and @t378 @t377 @t376 @t185 @t375 @t395)) % 113.94/114.19 (define @t397 () (or @t381 @t396)) % 113.94/114.19 (define @t398 () (and @t383 @t397)) % 113.94/114.19 (define @t399 () (not @t188)) % 113.94/114.19 (define @t400 () (and @t399 @t385)) % 113.94/114.19 (define @t401 () (or @t187 @t391 @t389 @t388 @t400 @t398)) % 113.94/114.19 (define @t402 () (not @t401)) % 113.94/114.19 (define @t403 () (@list true)) % 113.94/114.19 (define @t404 () (@list @t392)) % 113.94/114.19 (define @t405 () (not @t382)) % 113.94/114.19 (define @t406 () (@list false true)) % 113.94/114.19 (define @t407 () (@list @t382)) % 113.94/114.19 (define @t408 () (= true false)) % 113.94/114.19 (define @t409 () (and @t216 @t192 @t380)) % 113.94/114.19 (define @t410 () (@list false true false)) % 113.94/114.19 (define @t411 () (@list @t184)) % 113.94/114.19 (define @t412 () (@var "BOUND_VARIABLE_10230" $$unsorted)) % 113.94/114.19 (define @t413 () (@var "BOUND_VARIABLE_10234" $$unsorted)) % 113.94/114.19 (define @t414 () (@var "BOUND_VARIABLE_10232" $$unsorted)) % 113.94/114.19 (define @t415 () (tptp.segmentP (tptp.app (tptp.app @t414 @t2) @t413) @t412)) % 113.94/114.19 (define @t416 () (not (tptp.ssList @t413))) % 113.94/114.19 (define @t417 () (not (tptp.ssList @t414))) % 113.94/114.19 (define @t418 () (not (tptp.segmentP @t2 @t412))) % 113.94/114.19 (define @t419 () (not (tptp.ssList @t412))) % 113.94/114.19 (define @t420 () (or @t419 @t418 @t417 @t416 @t415)) % 113.94/114.19 (define @t421 () (or @t162 @t420)) % 113.94/114.19 (define @t422 () (forall (@list @t2 @t412 @t414 @t413) @t421)) % 113.94/114.19 (define @t423 () (@list @t412 @t414 @t413)) % 113.94/114.19 (define @t424 () (forall @t423 @t421)) % 113.94/114.19 (define @t425 () (forall @t423 @t420)) % 113.94/114.19 (define @t426 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 113.94/114.19 (define @t427 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 113.94/114.19 (define @t428 () (or @t162 @t425)) % 113.94/114.19 (define @t429 () (tptp.segmentP (tptp.app (tptp.app @t427 @t2) @t426) @t1)) % 113.94/114.19 (define @t430 () (not (tptp.ssList @t426))) % 113.94/114.19 (define @t431 () (not (tptp.ssList @t427))) % 113.94/114.19 (define @t432 () (not @t24)) % 113.94/114.19 (define @t433 () (or @t208 @t432 @t431 @t430 @t429)) % 113.94/114.19 (define @t434 () (@list @t1 @t427 @t426)) % 113.94/114.19 (define @t435 () (forall @t434 @t433)) % 113.94/114.19 (define @t436 () (or @t431 @t430 @t429)) % 113.94/114.19 (define @t437 () (or @t208 @t432 @t436)) % 113.94/114.19 (define @t438 () (forall @t434 @t437)) % 113.94/114.19 (define @t439 () (@list @t427 @t426)) % 113.94/114.19 (define @t440 () (forall @t439 @t437)) % 113.94/114.19 (define @t441 () (forall @t439 @t436)) % 113.94/114.19 (define @t442 () (@var "BOUND_VARIABLE_10192" $$unsorted)) % 113.94/114.19 (define @t443 () (or @t208 @t432 @t441)) % 113.94/114.19 (define @t444 () (tptp.segmentP (tptp.app @t83 @t442) @t1)) % 113.94/114.19 (define @t445 () (not (tptp.ssList @t442))) % 113.94/114.19 (define @t446 () (or @t256 @t445 @t444)) % 113.94/114.19 (define @t447 () (@list @t12 @t442)) % 113.94/114.19 (define @t448 () (forall @t447 @t446)) % 113.94/114.19 (define @t449 () (or @t208 @t432 @t448)) % 113.94/114.19 (define @t450 () (or @t432 @t448)) % 113.94/114.19 (define @t451 () (or @t445 @t444)) % 113.94/114.19 (define @t452 () (or @t256 @t451)) % 113.94/114.19 (define @t453 () (forall @t447 @t452)) % 113.94/114.19 (define @t454 () (@list @t442)) % 113.94/114.19 (define @t455 () (forall @t454 @t452)) % 113.94/114.19 (define @t456 () (forall @t454 @t451)) % 113.94/114.19 (define @t457 () (or @t256 @t456)) % 113.94/114.19 (define @t458 () (or @t271 @t86)) % 113.94/114.19 (define @t459 () (forall @t14 @t458)) % 113.94/114.19 (define @t460 () (or @t256 @t459)) % 113.94/114.19 (define @t461 () (forall @t16 @t460)) % 113.94/114.19 (define @t462 () (or @t432 @t461)) % 113.94/114.19 (define @t463 () (or @t432 @t460)) % 113.94/114.19 (define @t464 () (or @t256 @t432 @t459)) % 113.94/114.19 (define @t465 () (or @t432 @t459)) % 113.94/114.19 (define @t466 () (or @t432 @t458)) % 113.94/114.19 (define @t467 () (or @t271 @t432 @t86)) % 113.94/114.19 (define @t468 () (tptp.segmentP @t184 @t184)) % 113.94/114.19 (define @t469 () (not @t185)) % 113.94/114.19 (define @t470 () (or @t469 @t468)) % 113.94/114.19 (define @t471 () (@var "BOUND_VARIABLE_9152" $$unsorted)) % 113.94/114.19 (define @t472 () (tptp.ssList (tptp.cons @t471 @t2))) % 113.94/114.19 (define @t473 () (not (tptp.ssItem @t471))) % 113.94/114.19 (define @t474 () (or @t473 @t472)) % 113.94/114.19 (define @t475 () (or @t162 @t474)) % 113.94/114.19 (define @t476 () (forall (@list @t2 @t471) @t475)) % 113.94/114.19 (define @t477 () (@list @t471)) % 113.94/114.19 (define @t478 () (forall @t477 @t475)) % 113.94/114.19 (define @t479 () (forall @t477 @t474)) % 113.94/114.19 (define @t480 () (or @t162 @t479)) % 113.94/114.19 (define @t481 () (not @t6)) % 113.94/114.19 (define @t482 () (forall @t7 (or @t481 @t41))) % 113.94/114.19 (define @t483 () (@list tptp.nil @t369)) % 113.94/114.19 (define @t484 () (or @t162 @t161 @t50)) % 113.94/114.19 (define @t485 () (=> @t164 @t50)) % 113.94/114.19 (define @t486 () (or @t187 @t188 @t377)) % 113.94/114.19 (define @t487 () (forall @t9 @t484)) % 113.94/114.19 (define @t488 () (or @t187 @t192 @t377)) % 113.94/114.19 (define @t489 () (not @t377)) % 113.94/114.19 (define @t490 () (or @t213 @t489 @t376)) % 113.94/114.19 (define @t491 () (@list false false false)) % 113.94/114.19 (define @t492 () (tptp.app tptp.nil @t184)) % 113.94/114.19 (define @t493 () (tptp.segmentP (tptp.app @t492 @t370) @t184)) % 113.94/114.19 (define @t494 () (not @t376)) % 113.94/114.19 (define @t495 () (not @t468)) % 113.94/114.19 (define @t496 () (or @t469 @t469 @t495 @t213 @t494 @t493)) % 113.94/114.19 (define @t497 () (@list false false false false false)) % 113.94/114.19 (define @t498 () (= @t2 @t72)) % 113.94/114.19 (define @t499 () (= @t184 @t492)) % 113.94/114.19 (define @t500 () (or @t469 @t499)) % 113.94/114.19 (define @t501 () (@var "BOUND_VARIABLE_9396" $$unsorted)) % 113.94/114.19 (define @t502 () (tptp.ssList (tptp.app @t2 @t501))) % 113.94/114.19 (define @t503 () (not (tptp.ssList @t501))) % 113.94/114.19 (define @t504 () (or @t503 @t502)) % 113.94/114.19 (define @t505 () (or @t162 @t504)) % 113.94/114.19 (define @t506 () (forall (@list @t2 @t501) @t505)) % 113.94/114.19 (define @t507 () (@list @t501)) % 113.94/114.19 (define @t508 () (forall @t507 @t505)) % 113.94/114.19 (define @t509 () (forall @t507 @t504)) % 113.94/114.19 (define @t510 () (or @t162 @t509)) % 113.94/114.19 (define @t511 () (forall @t7 (or @t208 @t61))) % 113.94/114.19 (define @t512 () (or @t469 @t494 @t375)) % 113.94/114.19 (define @t513 () (= @t378 @t386)) % 113.94/114.19 (define @t514 () (or @t213 @t187 @t513)) % 113.94/114.19 (define @t515 () (not @t513)) % 113.94/114.19 (define @t516 () (not @t375)) % 113.94/114.19 (define @t517 () (not @t378)) % 113.94/114.19 (define @t518 () (tptp.segmentP @t372 @t184)) % 113.94/114.19 (define @t519 () (and @t373 @t499 @t493)) % 113.94/114.19 (define @t520 () (not @t499)) % 113.94/114.19 (define @t521 () (tptp.app @t370 @t184)) % 113.94/114.19 (define @t522 () (tptp.segmentP (tptp.app @t521 tptp.nil) @t184)) % 113.94/114.19 (define @t523 () (or @t469 @t469 @t495 @t494 @t213 @t522)) % 113.94/114.19 (define @t524 () (@var "BOUND_VARIABLE_9433" $$unsorted)) % 113.94/114.19 (define @t525 () (@var "BOUND_VARIABLE_9435" $$unsorted)) % 113.94/114.19 (define @t526 () (= (tptp.cons @t525 (tptp.app @t524 @t2)) (tptp.app (tptp.cons @t525 @t524) @t2))) % 113.94/114.19 (define @t527 () (not (tptp.ssItem @t525))) % 113.94/114.19 (define @t528 () (not (tptp.ssList @t524))) % 113.94/114.19 (define @t529 () (or @t162 @t528 @t527 @t526)) % 113.94/114.19 (define @t530 () (or @t528 @t527 @t526)) % 113.94/114.19 (define @t531 () (or @t162 @t530)) % 113.94/114.19 (define @t532 () (@list @t2 @t524 @t525)) % 113.94/114.19 (define @t533 () (forall @t532 @t531)) % 113.94/114.19 (define @t534 () (@list @t524 @t525)) % 113.94/114.19 (define @t535 () (forall @t534 @t531)) % 113.94/114.19 (define @t536 () (forall @t534 @t530)) % 113.94/114.19 (define @t537 () (@var "BOUND_VARIABLE_9415" $$unsorted)) % 113.94/114.19 (define @t538 () (or @t162 @t536)) % 113.94/114.19 (define @t539 () (= (tptp.cons @t537 @t65) (tptp.app (tptp.cons @t537 @t1) @t2))) % 113.94/114.19 (define @t540 () (not (tptp.ssItem @t537))) % 113.94/114.19 (define @t541 () (or @t208 @t540 @t539)) % 113.94/114.19 (define @t542 () (@list @t1 @t537)) % 113.94/114.19 (define @t543 () (forall @t542 @t541)) % 113.94/114.19 (define @t544 () (or @t540 @t539)) % 113.94/114.19 (define @t545 () (or @t208 @t544)) % 113.94/114.19 (define @t546 () (forall @t542 @t545)) % 113.94/114.19 (define @t547 () (@list @t537)) % 113.94/114.19 (define @t548 () (forall @t547 @t545)) % 113.94/114.19 (define @t549 () (forall @t547 @t544)) % 113.94/114.19 (define @t550 () (or @t208 @t549)) % 113.94/114.19 (define @t551 () (forall @t16 (or (not @t34) @t66))) % 113.94/114.19 (define @t552 () (tptp.cons @t369 @t492)) % 113.94/114.19 (define @t553 () (or @t469 @t213 @t489 (= @t552 @t521))) % 113.94/114.19 (define @t554 () (forall @t532 @t529)) % 113.94/114.19 (define @t555 () (= @t521 @t552)) % 113.94/114.19 (define @t556 () (or @t469 @t213 @t489 @t555)) % 113.94/114.19 (define @t557 () (@list false false false false)) % 113.94/114.19 (define @t558 () (= @t2 @t109)) % 113.94/114.19 (define @t559 () (tptp.app @t183 tptp.nil)) % 113.94/114.19 (define @t560 () (= @t183 @t559)) % 113.94/114.19 (define @t561 () (or @t187 @t560)) % 113.94/114.19 (define @t562 () (= @t2 @t100)) % 113.94/114.19 (define @t563 () (or @t162 @t161 @t562)) % 113.94/114.19 (define @t564 () (=> @t164 @t562)) % 113.94/114.19 (define @t565 () (tptp.cons @t369 @t184)) % 113.94/114.19 (define @t566 () (= @t183 @t565)) % 113.94/114.19 (define @t567 () (or @t187 @t188 @t566)) % 113.94/114.19 (define @t568 () (forall @t9 @t563)) % 113.94/114.19 (define @t569 () (or @t187 @t192 @t566)) % 113.94/114.19 (define @t570 () (tptp.segmentP @t183 @t184)) % 113.94/114.19 (define @t571 () (and @t499 @t566 @t560 @t555 @t522)) % 113.94/114.19 (define @t572 () (not @t555)) % 113.94/114.19 (define @t573 () (not @t566)) % 113.94/114.19 (define @t574 () (not @t570)) % 113.94/114.19 (define @t575 () (not @t518)) % 113.94/114.19 (define @t576 () (tptp.neq @t184 tptp.nil)) % 113.94/114.19 (define @t577 () (not @t576)) % 113.94/114.19 (define @t578 () (or @t469 @t577 @t575 @t574)) % 113.94/114.19 (define @t579 () (tptp.segmentP @t370 @t370)) % 113.94/114.19 (define @t580 () (or @t494 @t579)) % 113.94/114.19 (define @t581 () (tptp.app @t371 tptp.nil)) % 113.94/114.19 (define @t582 () (tptp.segmentP @t581 @t370)) % 113.94/114.19 (define @t583 () (not @t579)) % 113.94/114.19 (define @t584 () (or @t494 @t494 @t583 @t469 @t213 @t582)) % 113.94/114.19 (define @t585 () (= @t372 (tptp.app @t372 tptp.nil))) % 113.94/114.19 (define @t586 () (or @t391 @t585)) % 113.94/114.19 (define @t587 () (@var "BOUND_VARIABLE_10555" $$unsorted)) % 113.94/114.19 (define @t588 () (= (tptp.cons @t587 @t2) (tptp.app (tptp.cons @t587 tptp.nil) @t2))) % 113.94/114.19 (define @t589 () (not (tptp.ssItem @t587))) % 113.94/114.19 (define @t590 () (or @t589 @t588)) % 113.94/114.19 (define @t591 () (or @t162 @t590)) % 113.94/114.19 (define @t592 () (forall (@list @t2 @t587) @t591)) % 113.94/114.19 (define @t593 () (@list @t587)) % 113.94/114.19 (define @t594 () (forall @t593 @t591)) % 113.94/114.19 (define @t595 () (forall @t593 @t590)) % 113.94/114.19 (define @t596 () (or @t162 @t595)) % 113.94/114.19 (define @t597 () (forall @t7 (or @t481 @t105))) % 113.94/114.19 (define @t598 () (tptp.app @t370 tptp.nil)) % 113.94/114.19 (define @t599 () (= @t370 @t598)) % 113.94/114.19 (define @t600 () (or @t213 @t489 @t599)) % 113.94/114.19 (define @t601 () (tptp.segmentP @t183 @t183)) % 113.94/114.19 (define @t602 () (or @t187 @t601)) % 113.94/114.19 (define @t603 () (not @t601)) % 113.94/114.19 (define @t604 () (tptp.segmentP @t372 @t183)) % 113.94/114.19 (define @t605 () (not @t604)) % 113.94/114.19 (define @t606 () (or @t187 @t381 @t605 @t603)) % 113.94/114.19 (define @t607 () (not @t582)) % 113.94/114.19 (define @t608 () (not @t585)) % 113.94/114.19 (define @t609 () (not @t599)) % 113.94/114.19 (define @t610 () (= tptp.nil @t184)) % 113.94/114.19 (define @t611 () (not @t610)) % 113.94/114.19 (define @t612 () (and @t605 @t585 @t373 @t566 @t499 @t555 @t610 @t599 @t582)) % 113.94/114.19 (define @t613 () (= @t611 @t576)) % 113.94/114.19 (define @t614 () (not @t613)) % 113.94/114.19 (define @t615 () (not (= @t184 tptp.nil))) % 113.94/114.19 (define @t616 () (= @t576 @t615)) % 113.94/114.19 (define @t617 () (or @t469 @t213 @t616)) % 113.94/114.19 (define @t618 () (or @t469 @t213 @t613)) % 113.94/114.19 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 113.94/114.19 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 113.94/114.19 (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))))))))))) % 113.94/114.19 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 113.94/114.19 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 113.94/114.19 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 113.94/114.19 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 113.94/114.19 (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))))))))))))))))) % 113.94/114.19 (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)))))))))))))))) % 113.94/114.19 (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))))))))))))))))) % 113.94/114.19 (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))))))))))))))) % 113.94/114.19 (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))))))))))))))) % 113.94/114.19 (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)))))))))))))))) % 113.94/114.19 (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))))))))))))) % 113.94/114.19 (assume @p15 @t39) % 113.94/114.19 (assume @p16 @t44) % 113.94/114.19 (assume @p17 @t45) % 113.94/114.19 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 113.94/114.19 (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))))))))))) % 113.94/114.19 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 113.94/114.19 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 113.94/114.19 (assume @p22 @t54) % 113.94/114.19 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 113.94/114.19 (assume @p24 @t59) % 113.94/114.19 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 113.94/114.19 (assume @p26 @t64) % 113.94/114.19 (assume @p27 @t71) % 113.94/114.19 (assume @p28 @t74) % 113.94/114.19 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3)))))) % 113.94/114.19 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t26) (tptp.leq @t2 @t12))))))))) % 113.94/114.19 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 113.94/114.19 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t75)))))) % 113.94/114.19 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not @t78))))))) % 113.94/114.19 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 @t35) @t80)))))))) % 113.94/114.19 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t78)))))) % 113.94/114.19 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t82))))))))) % 113.94/114.19 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t82))))))))) % 113.94/114.19 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 113.94/114.19 (assume @p39 (not (tptp.singletonP tptp.nil))) % 113.94/114.19 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 113.94/114.19 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 113.94/114.19 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 113.94/114.19 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 113.94/114.19 (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)))))))))))) % 113.94/114.19 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 113.94/114.19 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 113.94/114.19 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 113.94/114.19 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 113.94/114.19 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 113.94/114.19 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t83 @t1))))))))) % 113.94/114.19 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 113.94/114.19 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 113.94/114.19 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 113.94/114.19 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 113.94/114.19 (assume @p55 @t85) % 113.94/114.19 (assume @p56 @t94) % 113.94/114.19 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 113.94/114.19 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 113.94/114.19 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 113.94/114.19 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 113.94/114.19 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 113.94/114.19 (assume @p62 (tptp.totalorderP tptp.nil)) % 113.94/114.19 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 113.94/114.19 (assume @p64 (tptp.strictorderP tptp.nil)) % 113.94/114.19 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 113.94/114.19 (assume @p66 (tptp.totalorderedP tptp.nil)) % 113.94/114.19 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 113.94/114.19 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 113.94/114.19 (assume @p69 (tptp.strictorderedP tptp.nil)) % 113.94/114.19 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 113.94/114.19 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 113.94/114.19 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 113.94/114.19 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 113.94/114.19 (assume @p74 (tptp.equalelemsP tptp.nil)) % 113.94/114.19 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 113.94/114.19 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 113.94/114.19 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t51 (= @t96 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 113.94/114.19 (assume @p78 @t103) % 113.94/114.19 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t104)))))))) % 113.94/114.19 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t104)))))))) % 113.94/114.19 (assume @p81 @t108) % 113.94/114.19 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 113.94/114.19 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t97 @t48))))))) % 113.94/114.19 (assume @p84 @t111) % 113.94/114.19 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 113.94/114.19 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 113.94/114.19 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3)))))) % 113.94/114.19 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 113.94/114.19 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 113.94/114.19 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 113.94/114.19 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t35) @t80)))))))) % 113.94/114.19 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t79))))))) % 113.94/114.19 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 (and @t4 @t76))))))) % 113.94/114.19 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not (tptp.gt @t1 @t2)))))))) % 113.94/114.19 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 113.94/114.19 (assume @p96 @t160) % 113.94/114.19 (assume @p97 true) % 113.94/114.19 (step @p98 :rule aci_norm :args ((= (or @t162 (or @t161 @t56)) @t163))) % 113.94/114.19 (step @p99 :rule refl :args (@t56)) % 113.94/114.19 (step @p100 :rule bool-double-not-elim :args (@t161)) % 113.94/114.19 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t165 @t56))) % 113.94/114.19 (step @p102 :rule bool-impl-elim :args (@t164 @t56)) % 113.94/114.19 (step @p103 :rule trans :premises (@p102 @p101)) % 113.94/114.19 (step @p104 :rule refl :args (@t162)) % 113.94/114.19 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t162 @t166))) % 113.94/114.19 (step @p106 :rule trans :premises (@p105 @p98)) % 113.94/114.19 (step @p107 :rule bool-impl-elim :args (@t17 @t166)) % 113.94/114.19 (step @p108 :rule trans :premises (@p107 @p106)) % 113.94/114.19 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t166)))) % 113.94/114.19 (step @p110 :rule refl :args (@t56)) % 113.94/114.19 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 113.94/114.19 (step @p112 :rule cong :premises (@p111) :args (@t51)) % 113.94/114.19 (step @p113 :rule cong :premises (@p112 @p110) :args (@t57)) % 113.94/114.19 (step @p114 :rule refl :args (@t17)) % 113.94/114.19 (step @p115 :rule cong :premises (@p114 @p113) :args (@t58)) % 113.94/114.19 (step @p116 :rule cong :premises (@p115) :args (@t59)) % 113.94/114.19 (step @p117 :rule trans :premises (@p116 @p109)) % 113.94/114.19 (step @p118 :rule eq_resolve :premises (@p24 @p117)) % 113.94/114.19 (step @p119 :rule refl :args (@t185)) % 113.94/114.19 (step @p120 :rule eq-symm :args (@t183 tptp.nil)) % 113.94/114.19 (step @p121 :rule refl :args (@t187)) % 113.94/114.19 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t189)) % 113.94/114.19 (step @p123 :rule refl :args (@t190)) % 113.94/114.19 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t190 @t189))) % 113.94/114.19 (assume-push @p1164 @t190) % 113.94/114.19 (step @p126 :rule instantiate :premises (@p118) :args (@t191)) % 113.94/114.19 (step-pop @p1165 :rule scope :premises (@p126)) % 113.94/114.19 (step @p127 :rule process_scope :premises (@p1165) :args (@t189)) % 113.94/114.19 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 113.94/114.19 (step @p130 :rule implies_elim :premises (@p129)) % 113.94/114.19 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t193 @t194 (@list @t190))) % 113.94/114.19 (step @p132 :rule aci_norm :args ((= @t200 @t198))) % 113.94/114.19 (step @p133 :rule cong :premises (@p132) :args (@t202)) % 113.94/114.19 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t204) @t202))) % 113.94/114.19 (step @p135 :rule alpha_equiv :args (@t205 (@list @t195) @t206)) % 113.94/114.19 (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t207)) % 113.94/114.19 (step @p137 :rule quant-miniscope-or :args ((= @t204 @t207))) % 113.94/114.19 (step @p138 :rule trans :premises (@p137 @p136)) % 113.94/114.19 (step @p139 :rule symm :premises (@p138)) % 113.94/114.19 (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t162 @t209)))) % 113.94/114.19 (step @p141 :rule trans :premises (@p140 @p134)) % 113.94/114.19 (step @p142 :rule trans :premises (@p141 @p133)) % 113.94/114.19 (step @p143 :rule bool-impl-elim :args (@t17 @t209)) % 113.94/114.19 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t209)))) % 113.94/114.19 (step @p145 :rule trans :premises (@p144 @p142)) % 113.94/114.19 (step @p146 :rule bool-impl-elim :args (@t21 @t5)) % 113.94/114.19 (step @p147 :rule cong :premises (@p146) :args (@t37)) % 113.94/114.19 (step @p148 :rule cong :premises (@p114 @p147) :args (@t38)) % 113.94/114.19 (step @p149 :rule cong :premises (@p148) :args (@t39)) % 113.94/114.19 (step @p150 :rule trans :premises (@p149 @p145)) % 113.94/114.19 (step @p151 :rule eq_resolve :premises (@p15 @p150)) % 113.94/114.19 (step @p152 :rule bool-eq-false :args (@t210)) % 113.94/114.19 (step @p153 :rule evaluate :args ((not true))) % 113.94/114.19 (step @p154 :rule eq-refl :args (tptp.nil)) % 113.94/114.19 (step @p155 :rule cong :premises (@p154) :args (@t211)) % 113.94/114.19 (step @p156 :rule trans :premises (@p155 @p153)) % 113.94/114.19 (step @p157 :rule refl :args (@t210)) % 113.94/114.19 (step @p158 :rule cong :premises (@p157 @p156) :args (@t212)) % 113.94/114.19 (step @p159 :rule trans :premises (@p158 @p152)) % 113.94/114.19 (step @p160 :rule refl :args (@t213)) % 113.94/114.19 (step @p161 :rule nary_cong :premises (@p160 @p160 @p159) :args (@t214)) % 113.94/114.19 (step @p162 :rule refl :args (@t215)) % 113.94/114.19 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t215 @t214))) % 113.94/114.19 (assume-push @p1166 @t215) % 113.94/114.19 (step @p165 :rule instantiate :premises (@p151) :args ((@list tptp.nil tptp.nil))) % 113.94/114.19 (step-pop @p1167 :rule scope :premises (@p165)) % 113.94/114.19 (step @p166 :rule process_scope :premises (@p1167) :args (@t214)) % 113.94/114.19 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 113.94/114.19 (step @p169 :rule implies_elim :premises (@p168)) % 113.94/114.19 (step @p170 :rule chain_m_resolution :premises (@p169 @p151) :args (@t217 @t194 @t218)) % 113.94/114.19 (step @p171 :rule cnf_or_pos :args (@t217)) % 113.94/114.19 (step @p172 :rule factoring :premises (@p171)) % 113.94/114.19 (step @p173 :rule reordering :premises (@p172) :args ((or @t213 @t216 (not @t217)))) % 113.94/114.19 (step @p174 :rule chain_m_resolution :premises (@p173 @p17 @p170) :args (@t216 @t219 (@list @t45 @t217))) % 113.94/114.19 (step @p175 :rule eq-symm :args (@t167 @t169)) % 113.94/114.19 (step @p176 :rule cong :premises (@p175) :args (@t220)) % 113.94/114.19 (step @p177 :rule refl :args (@t170)) % 113.94/114.19 (step @p178 :rule refl :args (@t171)) % 113.94/114.19 (step @p179 :rule refl :args (@t50)) % 113.94/114.19 (step @p180 :rule refl :args (@t172)) % 113.94/114.19 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178 @p110 @p177 @p176) :args (@t221)) % 113.94/114.19 (step @p182 :rule refl :args (@t173)) % 113.94/114.19 (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t222)) % 113.94/114.19 (step @p184 :rule refl :args (@t174)) % 113.94/114.19 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t223)) % 113.94/114.19 (step @p186 :rule eq-symm :args (@t167 tptp.nil)) % 113.94/114.19 (step @p187 :rule refl :args (@t164)) % 113.94/114.19 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t224)) % 113.94/114.19 (step @p189 :rule refl :args (@t178)) % 113.94/114.19 (step @p190 :rule refl :args (@t179)) % 113.94/114.19 (step @p191 :rule refl :args (@t180)) % 113.94/114.19 (step @p192 :rule refl :args (@t162)) % 113.94/114.19 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189 @p188 @p185) :args (@t225)) % 113.94/114.19 (step @p194 :rule aci_norm :args ((= @t227 @t225))) % 113.94/114.19 (step @p195 :rule trans :premises (@p194 @p193)) % 113.94/114.19 (step @p196 :rule cong :premises (@p195) :args (@t228)) % 113.94/114.19 (step @p197 :rule quant-merge-prenex :args ((= (forall @t9 @t230) @t228))) % 113.94/114.19 (step @p198 :rule alpha_equiv :args (@t231 (@list @t167) @t206)) % 113.94/114.19 (step @p199 :rule nary_cong :premises (@p104 @p198) :args (@t232)) % 113.94/114.19 (step @p200 :rule quant-miniscope-or :args ((= @t230 @t232))) % 113.94/114.19 (step @p201 :rule trans :premises (@p200 @p199)) % 113.94/114.19 (step @p202 :rule symm :premises (@p201)) % 113.94/114.19 (step @p203 :rule cong :premises (@p202) :args ((forall @t9 @t240))) % 113.94/114.19 (step @p204 :rule trans :premises (@p203 @p197)) % 113.94/114.19 (step @p205 :rule trans :premises (@p204 @p196)) % 113.94/114.19 (step @p206 :rule aci_norm :args ((= (or @t162 @t240) @t240))) % 113.94/114.19 (step @p207 :rule bool-impl-elim :args (@t17 @t240)) % 113.94/114.19 (step @p208 :rule trans :premises (@p207 @p206)) % 113.94/114.19 (step @p209 :rule cong :premises (@p208) :args ((forall @t9 (=> @t17 @t240)))) % 113.94/114.19 (step @p210 :rule trans :premises (@p209 @p205)) % 113.94/114.19 (step @p211 :rule quant-miniscope-or :args ((= (forall @t7 @t241) @t240))) % 113.94/114.19 (step @p212 :rule aci_norm :args ((= @t242 @t241))) % 113.94/114.19 (step @p213 :rule cong :premises (@p212) :args ((forall @t7 @t242))) % 113.94/114.19 (step @p214 :rule trans :premises (@p213 @p211)) % 113.94/114.19 (step @p215 :rule aci_norm :args ((= (or @t208 @t243) @t242))) % 113.94/114.19 (step @p216 :rule bool-impl-elim :args (@t21 @t243)) % 113.94/114.19 (step @p217 :rule trans :premises (@p216 @p215)) % 113.94/114.19 (step @p218 :rule cong :premises (@p217) :args ((forall @t7 (=> @t21 @t243)))) % 113.94/114.19 (step @p219 :rule trans :premises (@p218 @p214)) % 113.94/114.19 (step @p220 :rule aci_norm :args ((= (or @t148 @t238 @t208 @t244) @t243))) % 113.94/114.19 (step @p221 :rule aci_norm :args ((= (or @t162 false @t235 @t233) @t244))) % 113.94/114.19 (step @p222 :rule refl :args (@t233)) % 113.94/114.19 (step @p223 :rule refl :args (@t235)) % 113.94/114.19 (step @p224 :rule eq-refl :args (@t2)) % 113.94/114.19 (step @p225 :rule cong :premises (@p224) :args (@t245)) % 113.94/114.19 (step @p226 :rule trans :premises (@p225 @p153)) % 113.94/114.19 (step @p227 :rule nary_cong :premises (@p192 @p226 @p223 @p222) :args (@t246)) % 113.94/114.19 (step @p228 :rule trans :premises (@p227 @p221)) % 113.94/114.19 (step @p229 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t104) @t256 @t149 @t255 @t253)) @t246))) % 113.94/114.19 (step @p230 :rule refl :args (@t253)) % 113.94/114.19 (step @p231 :rule refl :args (@t255)) % 113.94/114.19 (step @p232 :rule refl :args (@t149)) % 113.94/114.19 (step @p233 :rule refl :args (@t256)) % 113.94/114.19 (step @p234 :rule eq-symm :args (@t2 @t12)) % 113.94/114.19 (step @p235 :rule cong :premises (@p234) :args (@t149)) % 113.94/114.19 (step @p236 :rule nary_cong :premises (@p235 @p233 @p232 @p231 @p230) :args (@t257)) % 113.94/114.19 (step @p237 :rule aci_norm :args ((= @t258 @t257))) % 113.94/114.19 (step @p238 :rule trans :premises (@p237 @p236)) % 113.94/114.19 (step @p239 :rule cong :premises (@p238) :args (@t259)) % 113.94/114.19 (step @p240 :rule trans :premises (@p239 @p229)) % 113.94/114.19 (step @p241 :rule trans :premises (@p240 @p228)) % 113.94/114.19 (step @p242 :rule refl :args (@t208)) % 113.94/114.19 (step @p243 :rule refl :args (@t238)) % 113.94/114.19 (step @p244 :rule refl :args (@t148)) % 113.94/114.19 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242 @p241) :args (@t260)) % 113.94/114.19 (step @p246 :rule trans :premises (@p245 @p220)) % 113.94/114.19 (step @p247 :rule quant-miniscope-or :args ((= (forall @t16 @t261) @t260))) % 113.94/114.19 (step @p248 :rule aci_norm :args ((= @t262 @t261))) % 113.94/114.19 (step @p249 :rule cong :premises (@p248) :args ((forall @t16 @t262))) % 113.94/114.19 (step @p250 :rule trans :premises (@p249 @p247)) % 113.94/114.19 (step @p251 :rule trans :premises (@p250 @p246)) % 113.94/114.19 (step @p252 :rule aci_norm :args ((= (or @t256 @t263) @t262))) % 113.94/114.19 (step @p253 :rule bool-impl-elim :args (@t15 @t263)) % 113.94/114.19 (step @p254 :rule trans :premises (@p253 @p252)) % 113.94/114.19 (step @p255 :rule cong :premises (@p254) :args ((forall @t16 (=> @t15 @t263)))) % 113.94/114.19 (step @p256 :rule trans :premises (@p255 @p251)) % 113.94/114.19 (step @p257 :rule aci_norm :args ((= (or @t149 @t148 @t238 @t264) @t263))) % 113.94/114.19 (step @p258 :rule aci_norm :args ((= (or @t208 false @t255 @t253) @t264))) % 113.94/114.19 (step @p259 :rule refl :args (@t253)) % 113.94/114.19 (step @p260 :rule refl :args (@t255)) % 113.94/114.19 (step @p261 :rule eq-refl :args (@t1)) % 113.94/114.19 (step @p262 :rule cong :premises (@p261) :args (@t265)) % 113.94/114.19 (step @p263 :rule trans :premises (@p262 @p153)) % 113.94/114.19 (step @p264 :rule nary_cong :premises (@p242 @p263 @p260 @p259) :args (@t266)) % 113.94/114.19 (step @p265 :rule trans :premises (@p264 @p258)) % 113.94/114.19 (step @p266 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t271 @t150 @t270 @t269)) @t266))) % 113.94/114.19 (step @p267 :rule refl :args (@t269)) % 113.94/114.19 (step @p268 :rule refl :args (@t270)) % 113.94/114.19 (step @p269 :rule refl :args (@t150)) % 113.94/114.19 (step @p270 :rule refl :args (@t271)) % 113.94/114.19 (step @p271 :rule eq-symm :args (@t1 @t10)) % 113.94/114.19 (step @p272 :rule cong :premises (@p271) :args (@t150)) % 113.94/114.19 (step @p273 :rule nary_cong :premises (@p272 @p270 @p269 @p268 @p267) :args (@t272)) % 113.94/114.19 (step @p274 :rule aci_norm :args ((= @t273 @t272))) % 113.94/114.19 (step @p275 :rule trans :premises (@p274 @p273)) % 113.94/114.19 (step @p276 :rule cong :premises (@p275) :args (@t274)) % 113.94/114.19 (step @p277 :rule trans :premises (@p276 @p266)) % 113.94/114.19 (step @p278 :rule trans :premises (@p277 @p265)) % 113.94/114.19 (step @p279 :rule refl :args (@t149)) % 113.94/114.19 (step @p280 :rule nary_cong :premises (@p279 @p244 @p243 @p278) :args (@t275)) % 113.94/114.19 (step @p281 :rule trans :premises (@p280 @p257)) % 113.94/114.19 (step @p282 :rule quant-miniscope-or :args ((= (forall @t14 @t276) @t275))) % 113.94/114.19 (step @p283 :rule aci_norm :args ((= @t277 @t276))) % 113.94/114.19 (step @p284 :rule cong :premises (@p283) :args ((forall @t14 @t277))) % 113.94/114.19 (step @p285 :rule trans :premises (@p284 @p282)) % 113.94/114.19 (step @p286 :rule trans :premises (@p285 @p281)) % 113.94/114.19 (step @p287 :rule aci_norm :args ((= (or @t271 (or @t150 @t149 @t148 @t238 @t270 @t269)) @t277))) % 113.94/114.19 (step @p288 :rule refl :args (@t268)) % 113.94/114.19 (step @p289 :rule bool-double-not-elim :args (@t249)) % 113.94/114.19 (step @p290 :rule bool-double-not-elim :args (@t250)) % 113.94/114.19 (step @p291 :rule bool-double-not-elim :args (@t251)) % 113.94/114.19 (step @p292 :rule bool-double-not-elim :args (@t252)) % 113.94/114.19 (step @p293 :rule bool-double-not-elim :args (@t112)) % 113.94/114.19 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p289 @p288) :args (@t288)) % 113.94/114.19 (step @p295 :rule aci_norm :args ((= (and @t287 (and @t285 (and @t283 (and @t281 (and @t279 @t268))))) @t288))) % 113.94/114.19 (step @p296 :rule trans :premises (@p295 @p294)) % 113.94/114.19 (step @p297 :rule bool-or-de-morgan 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:premises (@p1203)) % 113.94/114.19 (step @p988 :rule refl :args (@t369)) % 113.94/114.19 (step @p989 :rule cong :premises (@p988 @p1200) :args (@t565)) % 113.94/114.19 (step @p990 :rule trans :premises (@p1201 @p989 @p987)) % 113.94/114.19 (step @p991 :rule cong :premises (@p990 @p609) :args (@t559)) % 113.94/114.19 (step @p992 :rule trans :premises (@p945 @p991)) % 113.94/114.19 (step @p993 :rule cong :premises (@p992 @p857) :args (@t570)) % 113.94/114.19 (step @p994 :rule trans :premises (@p993 @p986)) % 113.94/114.19 (step @p995 :rule true_elim :premises (@p994)) % 113.94/114.19 (step-pop @p1210 :rule scope :premises (@p995)) % 113.94/114.19 (step-pop @p1211 :rule scope :premises (@p1210)) % 113.94/114.19 (step-pop @p1212 :rule scope :premises (@p1211)) % 113.94/114.19 (step-pop @p1213 :rule scope :premises (@p1212)) % 113.94/114.19 (step-pop @p1214 :rule scope :premises (@p1213)) % 113.94/114.19 (step @p996 :rule process_scope :premises (@p1214) :args (@t570)) % 113.94/114.19 (step @p1002 :rule and_intro :premises (@p1204 @p1203 @p1200 @p1201 @p945)) % 113.94/114.19 (step @p1003 :rule modus_ponens :premises (@p1002 @p996)) % 113.94/114.19 (step-pop @p1215 :rule scope :premises (@p1003)) % 113.94/114.19 (step-pop @p1216 :rule scope :premises (@p1215)) % 113.94/114.19 (step-pop @p1217 :rule scope :premises (@p1216)) % 113.94/114.19 (step-pop @p1218 :rule scope :premises (@p1217)) % 113.94/114.19 (step-pop @p1219 :rule scope :premises (@p1218)) % 113.94/114.19 (step @p1004 :rule process_scope :premises (@p1219) :args (@t570)) % 113.94/114.19 (step @p1010 :rule implies_elim :premises (@p1004)) % 113.94/114.19 (step @p1011 :rule cnf_and_neg :args (@t571)) % 113.94/114.19 (step @p1012 :rule resolution :premises (@p1011 @p1010) :args (true @t571)) % 113.94/114.19 (step @p1013 :rule reordering :premises (@p1012) :args ((or @t570 @t520 @t573 (not @t560) @t572 (not @t522)))) % 113.94/114.19 (step @p1014 :rule chain_m_resolution :premises (@p1013 @p800 @p975 @p945 @p934 @p883) :args (@t570 @t497 (@list @t499 @t566 @t560 @t555 @t522))) % 113.94/114.19 (step @p1015 :rule cnf_or_pos :args (@t578)) % 113.94/114.19 (step @p1016 :rule reordering :premises (@p1015) :args ((or @t469 @t574 @t575 @t577 (not @t578)))) % 113.94/114.19 (step @p1017 :rule chain_m_resolution :premises (@p1016 @p641 @p1014 @p878 @p648) :args (@t577 @t557 (@list @t185 @t570 @t518 @t578))) % 113.94/114.19 (step @p1018 :rule instantiate :premises (@p725) :args ((@list @t370 @t370 @t184 tptp.nil))) % 113.94/114.19 (step @p1019 :rule instantiate :premises (@p729) :args ((@list @t370))) % 113.94/114.19 (step @p1020 :rule cnf_or_pos :args (@t580)) % 113.94/114.19 (step @p1021 :rule reordering :premises (@p1020) :args ((or @t494 @t579 (not @t580)))) % 113.94/114.19 (step @p1022 :rule chain_m_resolution :premises (@p1021 @p785 @p1019) :args (@t579 @t219 (@list @t376 @t580))) % 113.94/114.19 (step @p1023 :rule cnf_or_pos :args (@t584)) % 113.94/114.19 (step @p1024 :rule factoring :premises (@p1023)) % 113.94/114.19 (step @p1025 :rule reordering :premises (@p1024) :args ((or @t213 @t494 @t469 @t583 @t582 (not @t584)))) % 113.94/114.19 (step @p1026 :rule chain_m_resolution :premises (@p1025 @p17 @p785 @p641 @p1022 @p1018) :args (@t582 @t497 (@list @t45 @t376 @t185 @t579 @t584))) % 113.94/114.19 (step @p1027 :rule instantiate :premises (@p941) :args ((@list @t372))) % 113.94/114.19 (step @p1028 :rule bool-double-not-elim :args (@t390)) % 113.94/114.19 (step @p1029 :rule nary_cong :premises (@p585 @p1028) :args ((or @t392 (not @t391)))) % 113.94/114.19 (step @p1030 :rule cnf_or_neg :args (@t392 1)) % 113.94/114.19 (step @p1031 :rule eq_resolve :premises (@p1030 @p1029)) % 113.94/114.19 (step @p1032 :rule reordering :premises (@p1031) :args ((or @t390 @t392))) % 113.94/114.19 (step @p1033 :rule chain_m_resolution :premises (@p1032 @p581) :args (@t390 @t403 @t404)) % 113.94/114.19 (step @p1034 :rule cnf_or_pos :args (@t586)) % 113.94/114.19 (step @p1035 :rule reordering :premises (@p1034) :args ((or @t391 @t585 (not @t586)))) % 113.94/114.19 (step @p1036 :rule chain_m_resolution :premises (@p1035 @p1033 @p1027) :args (@t585 @t219 (@list @t390 @t586))) % 113.94/114.19 (step @p1037 :rule aci_norm :args ((= @t591 (or @t162 @t589 @t588)))) % 113.94/114.19 (step @p1038 :rule cong :premises (@p1037) :args (@t592)) % 113.94/114.19 (step @p1039 :rule quant-merge-prenex :args ((= (forall @t9 @t594) @t592))) % 113.94/114.19 (step @p1040 :rule alpha_equiv :args (@t595 (@list @t587) @t206)) % 113.94/114.19 (step @p1041 :rule nary_cong :premises (@p104 @p1040) :args (@t596)) % 113.94/114.19 (step @p1042 :rule quant-miniscope-or :args ((= @t594 @t596))) % 113.94/114.19 (step @p1043 :rule trans :premises (@p1042 @p1041)) % 113.94/114.19 (step @p1044 :rule symm :premises (@p1043)) % 113.94/114.19 (step @p1045 :rule cong :premises (@p1044) :args ((forall @t9 (or @t162 @t597)))) % 113.94/114.19 (step @p1046 :rule trans :premises (@p1045 @p1039)) % 113.94/114.19 (step @p1047 :rule trans :premises (@p1046 @p1038)) % 113.94/114.19 (step @p1048 :rule bool-impl-elim :args (@t17 @t597)) % 113.94/114.19 (step @p1049 :rule cong :premises (@p1048) :args ((forall @t9 (=> @t17 @t597)))) % 113.94/114.19 (step @p1050 :rule trans :premises (@p1049 @p1047)) % 113.94/114.19 (step @p1051 :rule bool-impl-elim :args (@t6 @t105)) % 113.94/114.19 (step @p1052 :rule cong :premises (@p1051) :args (@t106)) % 113.94/114.19 (step @p1053 :rule cong :premises (@p114 @p1052) :args (@t107)) % 113.94/114.19 (step @p1054 :rule cong :premises (@p1053) :args (@t108)) % 113.94/114.19 (step @p1055 :rule trans :premises (@p1054 @p1050)) % 113.94/114.19 (step @p1056 :rule eq_resolve :premises (@p81 @p1055)) % 113.94/114.19 (step @p1057 :rule instantiate :premises (@p1056) :args (@t483)) % 113.94/114.19 (step @p1058 :rule cnf_or_pos :args (@t600)) % 113.94/114.19 (step @p1059 :rule reordering :premises (@p1058) :args ((or @t213 @t489 @t599 (not @t600)))) % 113.94/114.19 (step @p1060 :rule chain_m_resolution :premises (@p1059 @p17 @p782 @p1057) :args (@t599 @t491 (@list @t45 @t377 @t600))) % 113.94/114.19 (step @p1061 :rule instantiate :premises (@p647) :args (@t191)) % 113.94/114.19 (step @p1062 :rule instantiate :premises (@p729) :args (@t191)) % 113.94/114.19 (step @p1063 :rule cnf_or_pos :args (@t602)) % 113.94/114.19 (step @p1064 :rule reordering :premises (@p1063) :args ((or @t187 @t601 (not @t602)))) % 113.94/114.19 (step @p1065 :rule chain_m_resolution :premises (@p1064 @p638 @p1062) :args (@t601 @t219 (@list @t186 @t602))) % 113.94/114.19 (step @p1066 :rule cnf_or_pos :args (@t606)) % 113.94/114.19 (step @p1067 :rule reordering :premises (@p1066) :args ((or @t187 @t381 @t603 @t605 (not @t606)))) % 113.94/114.19 (step @p1068 :rule chain_m_resolution :premises (@p1067 @p638 @p600 @p1065 @p1061) :args (@t605 @t557 (@list @t186 @t380 @t601 @t606))) % 113.94/114.19 (step @p1069 :rule refl :args (@t572)) % 113.94/114.19 (step @p1070 :rule refl :args (@t607)) % 113.94/114.19 (step @p1071 :rule refl :args (@t608)) % 113.94/114.19 (step @p1072 :rule refl :args (@t609)) % 113.94/114.19 (step @p1073 :rule refl :args (@t573)) % 113.94/114.19 (step @p1074 :rule bool-double-not-elim :args (@t604)) % 113.94/114.19 (step @p1075 :rule refl :args (@t520)) % 113.94/114.19 (step @p1076 :rule refl :args (@t611)) % 113.94/114.19 (step @p1077 :rule refl :args (@t374)) % 113.94/114.19 (step @p1078 :rule nary_cong :premises (@p1077 @p1076 @p1075 @p1074 @p1073 @p1072 @p1071 @p1070 @p1069) :args ((or @t374 @t611 @t520 (not @t605) @t573 @t609 @t608 @t607 @t572))) % 113.94/114.19 (assume-push @p1220 @t605) % 113.94/114.19 (assume-push @p1221 @t585) % 113.94/114.19 (assume-push @p1222 @t373) % 113.94/114.19 (assume-push @p1223 @t566) % 113.94/114.19 (assume-push @p1224 @t499) % 113.94/114.19 (assume-push @p1225 @t555) % 113.94/114.19 (assume-push @p1226 @t610) % 113.94/114.19 (assume-push @p1227 @t599) % 113.94/114.19 (assume-push @p1228 @t582) % 113.94/114.19 (step @p607 :rule evaluate :args (@t408)) % 113.94/114.19 (step @p1088 :rule false_intro :premises (@p1068)) % 113.94/114.19 (step @p1089 :rule symm :premises (@p1223)) % 113.94/114.19 (step @p1090 :rule symm :premises (@p1224)) % 113.94/114.19 (step @p988 :rule refl :args (@t369)) % 113.94/114.19 (step @p1091 :rule cong :premises (@p988 @p1090) :args (@t552)) % 113.94/114.19 (step @p858 :rule refl :args (@t370)) % 113.94/114.19 (step @p1092 :rule cong :premises (@p858 @p1226) :args (@t598)) % 113.94/114.19 (step @p1093 :rule trans :premises (@p1227 @p1092 @p1225 @p1091 @p1089)) % 113.94/114.19 (step @p1094 :rule symm :premises (@p1036)) % 113.94/114.19 (step @p609 :rule refl :args (tptp.nil)) % 113.94/114.19 (step @p1095 :rule symm :premises (@p1222)) % 113.94/114.19 (step @p1096 :rule cong :premises (@p1095 @p609) :args (@t581)) % 113.94/114.19 (step @p1097 :rule trans :premises (@p1096 @p1094)) % 113.94/114.19 (step @p1098 :rule cong :premises (@p1097 @p1093) :args (@t582)) % 113.94/114.19 (step @p1099 :rule true_intro :premises (@p1228)) % 113.94/114.19 (step @p1100 :rule symm :premises (@p1099)) % 113.94/114.19 (step @p1101 :rule trans :premises (@p1100 @p1098 @p1088)) % 113.94/114.19 (step @p1102 false :rule eq_resolve :premises (@p1101 @p607)) % 113.94/114.19 (step-pop @p1229 :rule scope :premises (@p1102)) % 113.94/114.19 (step-pop @p1230 :rule scope :premises (@p1229)) % 113.94/114.19 (step-pop @p1231 :rule scope :premises (@p1230)) % 113.94/114.19 (step-pop @p1232 :rule scope :premises (@p1231)) % 113.94/114.19 (step-pop @p1233 :rule scope :premises (@p1232)) % 113.94/114.19 (step-pop @p1234 :rule scope :premises (@p1233)) % 113.94/114.19 (step-pop @p1235 :rule scope :premises (@p1234)) % 113.94/114.19 (step-pop @p1236 :rule scope :premises (@p1235)) % 113.94/114.19 (step-pop @p1237 :rule scope :premises (@p1236)) % 113.94/114.19 (step @p1103 :rule process_scope :premises (@p1237) :args (false)) % 113.94/114.19 (assume-push @p1238 @t373) % 113.94/114.19 (assume-push @p1239 @t610) % 113.94/114.19 (assume-push @p1240 @t499) % 113.94/114.19 (assume-push @p1241 @t605) % 113.94/114.19 (assume-push @p1242 @t566) % 113.94/114.19 (assume-push @p1243 @t599) % 113.94/114.19 (assume-push @p1244 @t585) % 113.94/114.19 (assume-push @p1245 @t582) % 113.94/114.19 (assume-push @p1246 @t555) % 113.94/114.19 (step @p1122 :rule and_intro :premises (@p1068 @p1036 @p1238 @p1242 @p1240 @p1246 @p1239 @p1243 @p1245)) % 113.94/114.19 (step-pop @p1247 :rule scope :premises (@p1122)) % 113.94/114.19 (step-pop @p1248 :rule scope :premises (@p1247)) % 113.94/114.19 (step-pop @p1249 :rule scope :premises (@p1248)) % 113.94/114.19 (step-pop @p1250 :rule scope :premises (@p1249)) % 113.94/114.19 (step-pop @p1251 :rule scope :premises (@p1250)) % 113.94/114.19 (step-pop @p1252 :rule scope :premises (@p1251)) % 113.94/114.19 (step-pop @p1253 :rule scope :premises (@p1252)) % 113.94/114.19 (step-pop @p1254 :rule scope :premises (@p1253)) % 113.94/114.19 (step-pop @p1255 :rule scope :premises (@p1254)) % 113.94/114.19 (step @p1123 :rule process_scope :premises (@p1255) :args (@t612)) % 113.94/114.19 (step @p1133 :rule implies_elim :premises (@p1123)) % 113.94/114.19 (step @p1134 :rule resolution :premises (@p1133 @p1103) :args (true @t612)) % 113.94/114.19 (step @p1135 :rule not_and :premises (@p1134)) % 113.94/114.19 (step @p1136 :rule eq_resolve :premises (@p1135 @p1078)) % 113.94/114.19 (step @p1137 :rule reordering :premises (@p1136) :args ((or @t374 @t611 @t604 @t520 @t573 @t609 @t608 @t607 @t572))) % 113.94/114.19 (step @p1138 :rule chain_m_resolution :premises (@p1137 @p849 @p1068 @p800 @p975 @p1060 @p1036 @p1026 @p934) :args (@t611 (@list false true false false false false false false) (@list @t373 @t604 @t499 @t566 @t599 @t585 @t582 @t555))) % 113.94/114.19 (step @p1139 :rule refl :args (@t576)) % 113.94/114.19 (step @p1140 :rule bool-double-not-elim :args (@t610)) % 113.94/114.19 (step @p1141 :rule refl :args (@t614)) % 113.94/114.19 (step @p1142 :rule nary_cong :premises (@p1141 @p1140 @p1139) :args ((or @t614 (not @t611) @t576))) % 113.94/114.19 (step @p1143 :rule cnf_equiv_pos1 :args (@t613)) % 113.94/114.19 (step @p1144 :rule eq_resolve :premises (@p1143 @p1142)) % 113.94/114.19 (step @p1145 :rule reordering :premises (@p1144) :args ((or @t610 @t576 @t614))) % 113.94/114.19 (step @p1146 :rule chain_m_resolution :premises (@p1145 @p1138 @p1017) :args (@t614 (@list true true) (@list @t610 @t576))) % 113.94/114.19 (step @p1147 :rule eq-symm :args (@t576 @t611)) % 113.94/114.19 (step @p1148 :rule eq-symm :args (@t184 tptp.nil)) % 113.94/114.19 (step @p1149 :rule cong :premises (@p1148) :args (@t615)) % 113.94/114.19 (step @p1150 :rule cong :premises (@p1139 @p1149) :args (@t616)) % 113.94/114.19 (step @p1151 :rule trans :premises (@p1150 @p1147)) % 113.94/114.19 (step @p1152 :rule nary_cong :premises (@p840 @p160 @p1151) :args (@t617)) % 113.94/114.19 (step @p1153 :rule cong :premises (@p162 @p1152) :args ((=> @t215 @t617))) % 113.94/114.19 (assume-push @p1256 @t215) % 113.94/114.19 (step @p1155 :rule instantiate :premises (@p151) :args ((@list @t184 tptp.nil))) % 113.94/114.19 (step-pop @p1257 :rule scope :premises (@p1155)) % 113.94/114.19 (step @p1156 :rule process_scope :premises (@p1257) :args (@t617)) % 113.94/114.19 (step @p1158 :rule eq_resolve :premises (@p1156 @p1153)) % 113.94/114.19 (step @p1159 :rule implies_elim :premises (@p1158)) % 113.94/114.19 (step @p1160 :rule chain_m_resolution :premises (@p1159 @p151) :args (@t618 @t194 @t218)) % 113.94/114.19 (step @p1161 :rule cnf_or_pos :args (@t618)) % 113.94/114.19 (step @p1162 :rule reordering :premises (@p1161) :args ((or @t213 @t469 @t613 (not @t618)))) % 113.94/114.19 (step @p1163 false :rule chain_m_resolution :premises (@p1162 @p1160 @p1146 @p641 @p17) :args (false (@list false true false false) (@list @t618 @t613 @t185 @t45))) % 113.94/114.19 ) % 113.94/114.19 % SZS output end Proof % 113.94/114.19 % cvc5 exiting %------------------------------------------------------------------------------