%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC243+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:58:35 AM UTC 2026 % Result : Theorem 237.14s 237.50s % Output : Proof 233.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC243+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:29:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 237.14/237.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 237.14/237.50 --- Run --no-e-matching --full-saturate-quant at 6... % 237.14/237.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 237.14/237.50 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 237.14/237.50 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 237.14/237.50 --- Run --trigger-sel=max --full-saturate-quant at 15... % 237.14/237.50 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 237.14/237.50 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 237.14/237.50 --- Run --prenex-quant=none --full-saturate-quant at 30... % 237.14/237.50 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 237.14/237.50 --- Run --relevant-triggers --full-saturate-quant at 30... % 237.14/237.50 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 237.14/237.50 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 237.14/237.50 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 237.14/237.50 % SZS status Theorem % 237.14/237.50 % SZS output start Proof % 237.14/237.50 ( % 237.14/237.50 (declare-sort $$unsorted 0) % 237.14/237.50 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 237.14/237.50 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 237.14/237.50 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 237.14/237.50 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 237.14/237.50 (declare-const tptp.nil $$unsorted) % 237.14/237.50 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.ssList (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 237.14/237.50 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 237.14/237.50 (define @t1 () (@var "V" $$unsorted)) % 237.14/237.50 (define @t2 () (@var "U" $$unsorted)) % 237.14/237.50 (define @t3 () (= @t2 @t1)) % 237.14/237.50 (define @t4 () (not @t3)) % 237.14/237.50 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 237.14/237.50 (define @t6 () (tptp.ssItem @t1)) % 237.14/237.50 (define @t7 () (@list @t1)) % 237.14/237.50 (define @t8 () (tptp.ssItem @t2)) % 237.14/237.50 (define @t9 () (@list @t2)) % 237.14/237.50 (define @t10 () (@var "X" $$unsorted)) % 237.14/237.50 (define @t11 () (tptp.cons @t1 @t10)) % 237.14/237.50 (define @t12 () (@var "W" $$unsorted)) % 237.14/237.50 (define @t13 () (tptp.ssList @t10)) % 237.14/237.50 (define @t14 () (@list @t10)) % 237.14/237.50 (define @t15 () (tptp.ssList @t12)) % 237.14/237.50 (define @t16 () (@list @t12)) % 237.14/237.50 (define @t17 () (tptp.ssList @t2)) % 237.14/237.50 (define @t18 () (tptp.cons @t1 tptp.nil)) % 237.14/237.50 (define @t19 () (tptp.app @t1 @t12)) % 237.14/237.50 (define @t20 () (tptp.frontsegP @t2 @t1)) % 237.14/237.50 (define @t21 () (tptp.ssList @t1)) % 237.14/237.50 (define @t22 () (tptp.app @t12 @t1)) % 237.14/237.50 (define @t23 () (tptp.rearsegP @t2 @t1)) % 237.14/237.50 (define @t24 () (tptp.segmentP @t2 @t1)) % 237.14/237.50 (define @t25 () (tptp.leq @t12 @t1)) % 237.14/237.50 (define @t26 () (tptp.leq @t1 @t12)) % 237.14/237.50 (define @t27 () (@var "Z" $$unsorted)) % 237.14/237.50 (define @t28 () (@var "Y" $$unsorted)) % 237.14/237.50 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 237.14/237.50 (define @t30 () (tptp.ssList @t27)) % 237.14/237.50 (define @t31 () (@list @t27)) % 237.14/237.50 (define @t32 () (tptp.ssList @t28)) % 237.14/237.50 (define @t33 () (@list @t28)) % 237.14/237.50 (define @t34 () (tptp.ssItem @t12)) % 237.14/237.50 (define @t35 () (tptp.lt @t1 @t12)) % 237.14/237.50 (define @t36 () (tptp.totalorderedP @t2)) % 237.14/237.50 (define @t37 () (= @t1 @t12)) % 237.14/237.50 (define @t38 () (tptp.cons @t1 @t2)) % 237.14/237.50 (define @t39 () (tptp.ssList @t38)) % 237.14/237.50 (define @t40 () (forall @t7 (=> @t6 @t39))) % 237.14/237.50 (define @t41 () (=> @t17 @t40)) % 237.14/237.50 (define @t42 () (forall @t9 @t41)) % 237.14/237.50 (define @t43 () (tptp.ssList tptp.nil)) % 237.14/237.50 (define @t44 () (= @t1 @t2)) % 237.14/237.50 (define @t45 () (tptp.cons @t12 @t1)) % 237.14/237.50 (define @t46 () (and @t34 (= @t45 @t2))) % 237.14/237.50 (define @t47 () (exists @t16 @t46)) % 237.14/237.50 (define @t48 () (and @t21 @t47)) % 237.14/237.50 (define @t49 () (exists @t7 @t48)) % 237.14/237.50 (define @t50 () (= tptp.nil @t2)) % 237.14/237.50 (define @t51 () (or @t50 @t49)) % 237.14/237.50 (define @t52 () (=> @t17 @t51)) % 237.14/237.50 (define @t53 () (forall @t9 @t52)) % 237.14/237.50 (define @t54 () (tptp.hd @t2)) % 237.14/237.50 (define @t55 () (tptp.ssItem @t54)) % 237.14/237.50 (define @t56 () (not @t50)) % 237.14/237.50 (define @t57 () (=> @t56 @t55)) % 237.14/237.50 (define @t58 () (=> @t17 @t57)) % 237.14/237.50 (define @t59 () (forall @t9 @t58)) % 237.14/237.50 (define @t60 () (tptp.tl @t2)) % 237.14/237.50 (define @t61 () (tptp.tl @t38)) % 237.14/237.50 (define @t62 () (=> @t6 (= @t61 @t2))) % 237.14/237.50 (define @t63 () (forall @t7 @t62)) % 237.14/237.50 (define @t64 () (=> @t17 @t63)) % 237.14/237.50 (define @t65 () (forall @t9 @t64)) % 237.14/237.50 (define @t66 () (tptp.app @t2 @t1)) % 237.14/237.50 (define @t67 () (tptp.app @t1 @t2)) % 237.14/237.50 (define @t68 () (tptp.app tptp.nil @t2)) % 237.14/237.50 (define @t69 () (=> @t17 (= @t68 @t2))) % 237.14/237.50 (define @t70 () (forall @t9 @t69)) % 237.14/237.50 (define @t71 () (tptp.leq @t1 @t2)) % 237.14/237.50 (define @t72 () (tptp.leq @t2 @t1)) % 237.14/237.50 (define @t73 () (tptp.geq @t2 @t1)) % 237.14/237.50 (define @t74 () (tptp.lt @t1 @t2)) % 237.14/237.50 (define @t75 () (tptp.lt @t2 @t1)) % 237.14/237.50 (define @t76 () (tptp.lt @t2 @t12)) % 237.14/237.50 (define @t77 () (tptp.gt @t2 @t1)) % 237.14/237.50 (define @t78 () (tptp.memberP @t12 @t2)) % 237.14/237.50 (define @t79 () (tptp.app @t12 @t2)) % 237.14/237.50 (define @t80 () (tptp.cons @t2 tptp.nil)) % 237.14/237.50 (define @t81 () (tptp.hd @t1)) % 237.14/237.50 (define @t82 () (= tptp.nil @t1)) % 237.14/237.50 (define @t83 () (not @t82)) % 237.14/237.50 (define @t84 () (tptp.cons @t2 @t1)) % 237.14/237.50 (define @t85 () (tptp.cons @t54 @t60)) % 237.14/237.50 (define @t86 () (=> @t56 (= @t85 @t2))) % 237.14/237.50 (define @t87 () (=> @t17 @t86)) % 237.14/237.50 (define @t88 () (forall @t9 @t87)) % 237.14/237.50 (define @t89 () (= @t12 @t2)) % 237.14/237.50 (define @t90 () (= @t38 (tptp.app @t18 @t2))) % 237.14/237.50 (define @t91 () (forall @t7 (=> @t6 @t90))) % 237.14/237.50 (define @t92 () (=> @t17 @t91)) % 237.14/237.50 (define @t93 () (forall @t9 @t92)) % 237.14/237.50 (define @t94 () (= @t75 (and @t4 @t72))) % 237.14/237.50 (define @t95 () (forall @t7 (=> @t6 @t94))) % 237.14/237.50 (define @t96 () (=> @t8 @t95)) % 237.14/237.50 (define @t97 () (forall @t9 @t96)) % 237.14/237.50 (define @t98 () (@var "X2" $$unsorted)) % 237.14/237.50 (define @t99 () (tptp.leq @t28 @t98)) % 237.14/237.50 (define @t100 () (not (tptp.lt @t28 @t98))) % 237.14/237.50 (define @t101 () (@var "X1" $$unsorted)) % 237.14/237.50 (define @t102 () (not (tptp.memberP @t101 @t98))) % 237.14/237.50 (define @t103 () (not (tptp.memberP @t27 @t98))) % 237.14/237.50 (define @t104 () (or @t103 @t102 @t100 @t99)) % 237.14/237.50 (define @t105 () (tptp.ssItem @t98)) % 237.14/237.50 (define @t106 () (@list @t98)) % 237.14/237.50 (define @t107 () (forall @t106 (=> @t105 @t104))) % 237.14/237.50 (define @t108 () (tptp.cons @t28 tptp.nil)) % 237.14/237.50 (define @t109 () (tptp.app @t27 @t108)) % 237.14/237.50 (define @t110 () (tptp.app @t109 @t101)) % 237.14/237.50 (define @t111 () (tptp.ssList @t101)) % 237.14/237.50 (define @t112 () (and @t111 (= @t110 @t2) @t107)) % 237.14/237.50 (define @t113 () (@list @t101)) % 237.14/237.50 (define @t114 () (exists @t113 @t112)) % 237.14/237.50 (define @t115 () (and @t30 @t114)) % 237.14/237.50 (define @t116 () (exists @t31 @t115)) % 237.14/237.50 (define @t117 () (tptp.ssItem @t28)) % 237.14/237.50 (define @t118 () (and @t117 @t116)) % 237.14/237.50 (define @t119 () (exists @t33 @t118)) % 237.14/237.50 (define @t120 () (not (tptp.totalorderedP @t12))) % 237.14/237.50 (define @t121 () (not (= @t2 @t12))) % 237.14/237.50 (define @t122 () (not (= @t1 @t10))) % 237.14/237.50 (define @t123 () (or @t122 @t121 @t120 @t50 @t119)) % 237.14/237.50 (define @t124 () (=> @t13 @t123)) % 237.14/237.50 (define @t125 () (forall @t14 @t124)) % 237.14/237.50 (define @t126 () (=> @t15 @t125)) % 237.14/237.50 (define @t127 () (forall @t16 @t126)) % 237.14/237.50 (define @t128 () (=> @t21 @t127)) % 237.14/237.50 (define @t129 () (forall @t7 @t128)) % 237.14/237.50 (define @t130 () (=> @t17 @t129)) % 237.14/237.50 (define @t131 () (forall @t9 @t130)) % 237.14/237.50 (define @t132 () (not @t131)) % 237.14/237.50 (define @t133 () (= @t2 tptp.nil)) % 237.14/237.50 (define @t134 () (not @t17)) % 237.14/237.50 (define @t135 () (or @t134 @t133 @t55)) % 237.14/237.50 (define @t136 () (not @t133)) % 237.14/237.50 (define @t137 () (not @t136)) % 237.14/237.50 (define @t138 () (=> @t136 @t55)) % 237.14/237.50 (define @t139 () (not @t36)) % 237.14/237.50 (define @t140 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 237.14/237.50 (define @t141 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 237.14/237.50 (define @t142 () (not @t105)) % 237.14/237.50 (define @t143 () (not (forall @t106 (or @t142 (not (tptp.memberP @t141 @t98)) (not (tptp.memberP @t140 @t98)) @t100 @t99)))) % 237.14/237.50 (define @t144 () (tptp.app (tptp.app @t141 @t108) @t140)) % 237.14/237.50 (define @t145 () (not (= @t2 @t144))) % 237.14/237.50 (define @t146 () (not (tptp.ssList @t140))) % 237.14/237.50 (define @t147 () (not (tptp.ssList @t141))) % 237.14/237.50 (define @t148 () (not @t117)) % 237.14/237.50 (define @t149 () (or @t148 @t147 @t146 @t145 @t143)) % 237.14/237.50 (define @t150 () (@list @t28 @t141 @t140)) % 237.14/237.50 (define @t151 () (not (forall @t150 @t149))) % 237.14/237.50 (define @t152 () (or @t134 @t133 @t151 @t139)) % 237.14/237.50 (define @t153 () (forall @t9 @t152)) % 237.14/237.50 (define @t154 () (@quantifiers_skolemize @t153 0)) % 237.14/237.50 (define @t155 () (tptp.hd @t154)) % 237.14/237.50 (define @t156 () (tptp.ssItem @t155)) % 237.14/237.50 (define @t157 () (tptp.ssList @t154)) % 237.14/237.50 (define @t158 () (not @t157)) % 237.14/237.50 (define @t159 () (= @t154 tptp.nil)) % 237.14/237.50 (define @t160 () (or @t158 @t159 @t156)) % 237.14/237.50 (define @t161 () (forall @t9 @t135)) % 237.14/237.50 (define @t162 () (@list @t154)) % 237.14/237.50 (define @t163 () (= tptp.nil @t154)) % 237.14/237.50 (define @t164 () (or @t158 @t163 @t156)) % 237.14/237.50 (define @t165 () (@list false)) % 237.14/237.50 (define @t166 () (not @t21)) % 237.14/237.50 (define @t167 () (forall @t7 @t166)) % 237.14/237.50 (define @t168 () (or @t167 @t152)) % 237.14/237.50 (define @t169 () (or @t134 @t133 @t151 @t139 @t167)) % 237.14/237.50 (define @t170 () (or @t133 @t151 @t134 @t139 @t167)) % 237.14/237.50 (define @t171 () (or @t133 @t151 @t134 @t139 @t166)) % 237.14/237.50 (define @t172 () (or @t166 @t133 @t151 @t134 @t139)) % 237.14/237.50 (define @t173 () (or @t133 @t151 @t166 @t134 @t139)) % 237.14/237.50 (define @t174 () (or @t134 @t139)) % 237.14/237.50 (define @t175 () (not (= @t2 @t2))) % 237.14/237.50 (define @t176 () (or @t134 @t175 @t139)) % 237.14/237.50 (define @t177 () (not @t15)) % 237.14/237.50 (define @t178 () (or @t121 @t177 @t121 @t120)) % 237.14/237.50 (define @t179 () (or @t177 @t121 @t120)) % 237.14/237.50 (define @t180 () (forall @t16 @t179)) % 237.14/237.50 (define @t181 () (or @t133 @t151 @t166 @t180)) % 237.14/237.50 (define @t182 () (or @t133 @t151 @t166 @t179)) % 237.14/237.50 (define @t183 () (or @t177 @t121 @t120 @t133 @t151 @t166)) % 237.14/237.50 (define @t184 () (or @t121 @t120 @t133 @t151 @t166)) % 237.14/237.50 (define @t185 () (not (= @t1 @t1))) % 237.14/237.50 (define @t186 () (or @t166 @t185)) % 237.14/237.50 (define @t187 () (not @t13)) % 237.14/237.50 (define @t188 () (or @t122 @t187 @t122)) % 237.14/237.50 (define @t189 () (or @t187 @t122)) % 237.14/237.50 (define @t190 () (forall @t14 @t189)) % 237.14/237.50 (define @t191 () (or @t121 @t120 @t133 @t151 @t190)) % 237.14/237.50 (define @t192 () (or @t121 @t120 @t133 @t151 @t189)) % 237.14/237.50 (define @t193 () (or @t187 @t122 @t121 @t120 @t133 @t151)) % 237.14/237.50 (define @t194 () (or @t122 @t121 @t120 @t133 @t151)) % 237.14/237.50 (define @t195 () (or @t147 @t146 @t145 @t143)) % 237.14/237.50 (define @t196 () (or @t148 @t195)) % 237.14/237.50 (define @t197 () (forall @t150 @t196)) % 237.14/237.50 (define @t198 () (@list @t141 @t140)) % 237.14/237.50 (define @t199 () (forall @t198 @t196)) % 237.14/237.50 (define @t200 () (forall @t198 @t195)) % 237.14/237.50 (define @t201 () (@var "BOUND_VARIABLE_10961" $$unsorted)) % 237.14/237.50 (define @t202 () (or @t148 @t200)) % 237.14/237.50 (define @t203 () (not (forall @t106 (or @t142 @t103 (not (tptp.memberP @t201 @t98)) @t100 @t99)))) % 237.14/237.50 (define @t204 () (not (= @t2 (tptp.app @t109 @t201)))) % 237.14/237.50 (define @t205 () (not (tptp.ssList @t201))) % 237.14/237.50 (define @t206 () (not @t30)) % 237.14/237.50 (define @t207 () (or @t206 @t205 @t204 @t203)) % 237.14/237.50 (define @t208 () (@list @t27 @t201)) % 237.14/237.50 (define @t209 () (forall @t208 @t207)) % 237.14/237.50 (define @t210 () (not @t209)) % 237.14/237.50 (define @t211 () (and @t117 @t210)) % 237.14/237.50 (define @t212 () (forall @t33 (not @t211))) % 237.14/237.50 (define @t213 () (not @t212)) % 237.14/237.50 (define @t214 () (or @t205 @t204 @t203)) % 237.14/237.50 (define @t215 () (or @t206 @t214)) % 237.14/237.50 (define @t216 () (forall @t208 @t215)) % 237.14/237.50 (define @t217 () (@list @t201)) % 237.14/237.50 (define @t218 () (forall @t217 @t215)) % 237.14/237.50 (define @t219 () (forall @t217 @t214)) % 237.14/237.50 (define @t220 () (or @t206 @t219)) % 237.14/237.50 (define @t221 () (or @t142 @t103 @t102 @t100 @t99)) % 237.14/237.50 (define @t222 () (forall @t106 @t221)) % 237.14/237.50 (define @t223 () (not @t222)) % 237.14/237.50 (define @t224 () (= @t2 @t110)) % 237.14/237.50 (define @t225 () (not @t224)) % 237.14/237.50 (define @t226 () (not @t111)) % 237.14/237.50 (define @t227 () (or @t226 @t225 @t223)) % 237.14/237.50 (define @t228 () (forall @t113 @t227)) % 237.14/237.50 (define @t229 () (not @t228)) % 237.14/237.50 (define @t230 () (and @t30 @t229)) % 237.14/237.50 (define @t231 () (forall @t31 (not @t230))) % 237.14/237.50 (define @t232 () (not @t231)) % 237.14/237.50 (define @t233 () (and @t111 @t224 @t222)) % 237.14/237.50 (define @t234 () (forall @t113 (not @t233))) % 237.14/237.50 (define @t235 () (not @t234)) % 237.14/237.50 (define @t236 () (not (tptp.totalorderedP @t154))) % 237.14/237.50 (define @t237 () (forall @t150 (or @t148 @t147 @t146 (not (= @t144 @t154)) @t143))) % 237.14/237.50 (define @t238 () (not @t237)) % 237.14/237.50 (define @t239 () (or @t158 @t163 @t238 @t236)) % 237.14/237.50 (define @t240 () (not @t239)) % 237.14/237.50 (define @t241 () (not @t153)) % 237.14/237.50 (define @t242 () (not (= @t154 @t144))) % 237.14/237.50 (define @t243 () (or @t148 @t147 @t146 @t242 @t143)) % 237.14/237.50 (define @t244 () (forall @t150 @t243)) % 237.14/237.50 (define @t245 () (not @t244)) % 237.14/237.50 (define @t246 () (or @t158 @t159 @t245 @t236)) % 237.14/237.50 (define @t247 () (not @t246)) % 237.14/237.50 (define @t248 () (@list true)) % 237.14/237.50 (define @t249 () (@list @t239)) % 237.14/237.50 (define @t250 () (@list false true false)) % 237.14/237.50 (define @t251 () (tptp.tl @t154)) % 237.14/237.50 (define @t252 () (forall @t106 (or @t142 (not (tptp.memberP tptp.nil @t98)) (not (tptp.memberP @t251 @t98)) (not (tptp.lt @t155 @t98)) (tptp.leq @t155 @t98)))) % 237.14/237.50 (define @t253 () (not @t252)) % 237.14/237.50 (define @t254 () (tptp.cons @t155 tptp.nil)) % 237.14/237.50 (define @t255 () (tptp.app tptp.nil @t254)) % 237.14/237.50 (define @t256 () (tptp.app @t255 @t251)) % 237.14/237.50 (define @t257 () (not (= @t256 @t154))) % 237.14/237.50 (define @t258 () (tptp.ssList @t251)) % 237.14/237.50 (define @t259 () (not @t258)) % 237.14/237.50 (define @t260 () (not @t43)) % 237.14/237.50 (define @t261 () (not @t156)) % 237.14/237.50 (define @t262 () (or @t261 @t260 @t259 @t257 @t253)) % 237.14/237.50 (define @t263 () (= @t154 @t256)) % 237.14/237.50 (define @t264 () (not @t263)) % 237.14/237.50 (define @t265 () (or @t261 @t260 @t259 @t264 @t253)) % 237.14/237.50 (define @t266 () (= @t2 @t68)) % 237.14/237.50 (define @t267 () (@var "BOUND_VARIABLE_9137" $$unsorted)) % 237.14/237.50 (define @t268 () (tptp.ssList (tptp.cons @t267 @t2))) % 237.14/237.50 (define @t269 () (not (tptp.ssItem @t267))) % 237.14/237.50 (define @t270 () (or @t269 @t268)) % 237.14/237.50 (define @t271 () (or @t134 @t270)) % 237.14/237.50 (define @t272 () (forall (@list @t2 @t267) @t271)) % 237.14/237.50 (define @t273 () (@list @t267)) % 237.14/237.50 (define @t274 () (forall @t273 @t271)) % 237.14/237.50 (define @t275 () (forall @t273 @t270)) % 237.14/237.50 (define @t276 () (@list @t1)) % 233.60/237.50 (define @t277 () (or @t134 @t275)) % 233.60/237.50 (define @t278 () (not @t6)) % 233.60/237.50 (define @t279 () (forall @t7 (or @t278 @t39))) % 233.60/237.50 (define @t280 () (tptp.ssList @t254)) % 233.60/237.50 (define @t281 () (or @t260 @t261 @t280)) % 233.60/237.50 (define @t282 () (@list false false false)) % 233.60/237.50 (define @t283 () (= @t254 @t255)) % 233.60/237.50 (define @t284 () (not @t280)) % 233.60/237.50 (define @t285 () (or @t284 @t283)) % 233.60/237.50 (define @t286 () (tptp.app @t254 @t251)) % 233.60/237.50 (define @t287 () (@var "BOUND_VARIABLE_10540" $$unsorted)) % 233.60/237.50 (define @t288 () (= (tptp.cons @t287 @t2) (tptp.app (tptp.cons @t287 tptp.nil) @t2))) % 233.60/237.50 (define @t289 () (not (tptp.ssItem @t287))) % 233.60/237.50 (define @t290 () (or @t289 @t288)) % 233.60/237.50 (define @t291 () (or @t134 @t290)) % 233.60/237.50 (define @t292 () (forall (@list @t2 @t287) @t291)) % 233.60/237.50 (define @t293 () (@list @t287)) % 233.60/237.50 (define @t294 () (forall @t293 @t291)) % 233.60/237.50 (define @t295 () (forall @t293 @t290)) % 233.60/237.50 (define @t296 () (or @t134 @t295)) % 233.60/237.50 (define @t297 () (forall @t7 (or @t278 @t90))) % 233.60/237.50 (define @t298 () (@var "BOUND_VARIABLE_9274" $$unsorted)) % 233.60/237.50 (define @t299 () (tptp.cons @t298 @t1)) % 233.60/237.50 (define @t300 () (not (= @t2 @t299))) % 233.60/237.50 (define @t301 () (not (tptp.ssItem @t298))) % 233.60/237.50 (define @t302 () (or @t166 @t301 @t300)) % 233.60/237.50 (define @t303 () (@list @t1 @t298)) % 233.60/237.50 (define @t304 () (not (forall @t303 @t302))) % 233.60/237.50 (define @t305 () (or @t134 @t133 @t304)) % 233.60/237.50 (define @t306 () (or @t133 @t304)) % 233.60/237.50 (define @t307 () (or @t301 @t300)) % 233.60/237.50 (define @t308 () (or @t166 @t307)) % 233.60/237.50 (define @t309 () (forall @t303 @t308)) % 233.60/237.50 (define @t310 () (@list @t298)) % 233.60/237.50 (define @t311 () (forall @t310 @t308)) % 233.60/237.50 (define @t312 () (forall @t310 @t307)) % 233.60/237.50 (define @t313 () (or @t166 @t312)) % 233.60/237.50 (define @t314 () (= @t2 @t45)) % 233.60/237.50 (define @t315 () (forall @t16 (or (not @t34) (not @t314)))) % 233.60/237.50 (define @t316 () (not @t315)) % 233.60/237.50 (define @t317 () (and @t21 @t316)) % 233.60/237.50 (define @t318 () (forall @t7 (not @t317))) % 233.60/237.50 (define @t319 () (not @t318)) % 233.60/237.50 (define @t320 () (and @t34 @t314)) % 233.60/237.50 (define @t321 () (forall @t16 (not @t320))) % 233.60/237.50 (define @t322 () (not @t321)) % 233.60/237.50 (define @t323 () (not (= @t154 @t299))) % 233.60/237.50 (define @t324 () (or @t166 @t301 @t323)) % 233.60/237.50 (define @t325 () (forall @t303 @t324)) % 233.60/237.50 (define @t326 () (not @t325)) % 233.60/237.50 (define @t327 () (or @t158 @t159 @t326)) % 233.60/237.50 (define @t328 () (forall @t9 @t305)) % 233.60/237.50 (define @t329 () (forall @t303 (or @t166 @t301 (not (= @t299 @t154))))) % 233.60/237.50 (define @t330 () (not @t329)) % 233.60/237.50 (define @t331 () (or @t158 @t163 @t330)) % 233.60/237.50 (define @t332 () (@quantifiers_skolemize @t329 0)) % 233.60/237.50 (define @t333 () (@quantifiers_skolemize @t329 1)) % 233.60/237.50 (define @t334 () (tptp.cons @t333 @t332)) % 233.60/237.50 (define @t335 () (= @t154 @t334)) % 233.60/237.50 (define @t336 () (not @t335)) % 233.60/237.50 (define @t337 () (tptp.ssItem @t333)) % 233.60/237.50 (define @t338 () (not @t337)) % 233.60/237.50 (define @t339 () (tptp.ssList @t332)) % 233.60/237.50 (define @t340 () (not @t339)) % 233.60/237.50 (define @t341 () (or @t340 @t338 @t336)) % 233.60/237.50 (define @t342 () (not @t341)) % 233.60/237.50 (define @t343 () (not (= @t334 @t154))) % 233.60/237.50 (define @t344 () (or @t340 @t338 @t343)) % 233.60/237.50 (define @t345 () (not @t344)) % 233.60/237.50 (define @t346 () (@list @t341)) % 233.60/237.50 (define @t347 () (@var "BOUND_VARIABLE_9361" $$unsorted)) % 233.60/237.50 (define @t348 () (= @t2 (tptp.tl (tptp.cons @t347 @t2)))) % 233.60/237.50 (define @t349 () (not (tptp.ssItem @t347))) % 233.60/237.50 (define @t350 () (or @t349 @t348)) % 233.60/237.50 (define @t351 () (or @t134 @t350)) % 233.60/237.50 (define @t352 () (forall (@list @t2 @t347) @t351)) % 233.60/237.50 (define @t353 () (@list @t347)) % 233.60/237.50 (define @t354 () (forall @t353 @t351)) % 233.60/237.50 (define @t355 () (forall @t353 @t350)) % 233.60/237.50 (define @t356 () (or @t134 @t355)) % 233.60/237.50 (define @t357 () (= @t2 @t61)) % 233.60/237.50 (define @t358 () (forall @t7 (or @t278 @t357))) % 233.60/237.50 (define @t359 () (= @t332 (tptp.tl @t334))) % 233.60/237.50 (define @t360 () (or @t340 @t338 @t359)) % 233.60/237.50 (define @t361 () (tptp.cons @t155 @t251)) % 233.60/237.50 (define @t362 () (= @t361 @t286)) % 233.60/237.50 (define @t363 () (or @t259 @t261 @t362)) % 233.60/237.50 (define @t364 () (= @t2 @t85)) % 233.60/237.50 (define @t365 () (or @t134 @t133 @t364)) % 233.60/237.50 (define @t366 () (=> @t136 @t364)) % 233.60/237.50 (define @t367 () (= @t154 @t361)) % 233.60/237.50 (define @t368 () (or @t158 @t159 @t367)) % 233.60/237.50 (define @t369 () (forall @t9 @t365)) % 233.60/237.50 (define @t370 () (or @t158 @t163 @t367)) % 233.60/237.50 (define @t371 () (@quantifiers_skolemize @t252 0)) % 233.60/237.50 (define @t372 () (tptp.ssItem @t371)) % 233.60/237.50 (define @t373 () (tptp.leq @t155 @t371)) % 233.60/237.50 (define @t374 () (tptp.lt @t155 @t371)) % 233.60/237.50 (define @t375 () (not @t374)) % 233.60/237.50 (define @t376 () (not @t372)) % 233.60/237.50 (define @t377 () (or @t376 (not (tptp.memberP tptp.nil @t371)) (not (tptp.memberP @t251 @t371)) @t375 @t373)) % 233.60/237.50 (define @t378 () (@list @t377)) % 233.60/237.50 (define @t379 () (@var "BOUND_VARIABLE_10849" $$unsorted)) % 233.60/237.50 (define @t380 () (= (tptp.lt @t2 @t379) (and (not (= @t2 @t379)) (tptp.leq @t2 @t379)))) % 233.60/237.50 (define @t381 () (not (tptp.ssItem @t379))) % 233.60/237.50 (define @t382 () (not @t8)) % 233.60/237.50 (define @t383 () (or @t381 @t380)) % 233.60/237.50 (define @t384 () (or @t382 @t383)) % 233.60/237.50 (define @t385 () (forall (@list @t2 @t379) @t384)) % 233.60/237.50 (define @t386 () (@list @t379)) % 233.60/237.50 (define @t387 () (forall @t386 @t384)) % 233.60/237.50 (define @t388 () (forall @t386 @t383)) % 233.60/237.50 (define @t389 () (or @t382 @t388)) % 233.60/237.50 (define @t390 () (forall @t7 (or @t278 @t94))) % 233.60/237.50 (define @t391 () (and (not (= @t155 @t371)) @t373)) % 233.60/237.50 (define @t392 () (not @t391)) % 233.60/237.50 (define @t393 () (= @t374 @t391)) % 233.60/237.50 (define @t394 () (not @t393)) % 233.60/237.50 (define @t395 () (or @t261 @t376 @t393)) % 233.60/237.50 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 233.60/237.50 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 233.60/237.50 (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))))))))))) % 233.60/237.50 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 233.60/237.50 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 233.60/237.50 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 233.60/237.50 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 233.60/237.50 (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))))))))))))))))) % 233.60/237.50 (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)))))))))))))))) % 233.60/237.50 (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))))))))))))))))) % 233.60/237.50 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 233.60/237.50 (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))))))))))))))) % 233.60/237.50 (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 @t37)))))))))))))))) % 233.60/237.50 (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) @t37))))))))))))) % 233.60/237.50 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 233.60/237.50 (assume @p16 @t42) % 233.60/237.50 (assume @p17 @t43) % 233.60/237.50 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 233.60/237.50 (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) @t44))))))))))) % 233.60/237.50 (assume @p20 @t53) % 233.60/237.50 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 233.60/237.50 (assume @p22 @t59) % 233.60/237.50 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 233.60/237.50 (assume @p24 (forall @t9 (=> @t17 (=> @t56 (tptp.ssList @t60))))) % 233.60/237.50 (assume @p25 @t65) % 233.60/237.50 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t66)))))) % 233.60/237.50 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t67) (tptp.app @t45 @t2))))))))) % 233.60/237.50 (assume @p28 @t70) % 233.60/237.50 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 @t71) @t3)))))) % 233.60/237.50 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t26) (tptp.leq @t2 @t12))))))))) % 233.60/237.50 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 233.60/237.50 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 @t71)))))) % 233.60/237.50 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (not @t74))))))) % 233.60/237.50 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 @t35) @t76)))))))) % 233.60/237.50 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t74)))))) % 233.60/237.50 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t78))))))))) % 233.60/237.50 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t78))))))))) % 233.60/237.50 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 233.60/237.50 (assume @p39 (not (tptp.singletonP tptp.nil))) % 233.60/237.50 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 233.60/237.50 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 233.60/237.50 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 233.60/237.50 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 233.60/237.50 (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)))))))))))) % 233.60/237.50 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 233.60/237.50 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 233.60/237.50 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 233.60/237.50 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 233.60/237.50 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 233.60/237.50 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t79 @t1))))))))) % 233.60/237.50 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 233.60/237.50 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 233.60/237.50 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 233.60/237.50 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 233.60/237.50 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 233.60/237.50 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t79 @t10) @t1))))))))))) % 233.60/237.50 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 233.60/237.50 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 233.60/237.50 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 233.60/237.50 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 233.60/237.50 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 233.60/237.50 (assume @p62 (tptp.totalorderP tptp.nil)) % 233.60/237.50 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 233.60/237.50 (assume @p64 (tptp.strictorderP tptp.nil)) % 233.60/237.50 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 233.60/237.50 (assume @p66 (tptp.totalorderedP tptp.nil)) % 233.60/237.50 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 233.60/237.50 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 233.60/237.50 (assume @p69 (tptp.strictorderedP tptp.nil)) % 233.60/237.50 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 233.60/237.50 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 233.60/237.50 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 233.60/237.50 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 233.60/237.50 (assume @p74 (tptp.equalelemsP tptp.nil)) % 233.60/237.50 (assume @p75 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t6 (= @t54 @t1))))))) % 233.60/237.50 (assume @p76 (forall @t9 (=> @t17 (=> @t56 (exists @t7 (and @t21 (= @t60 @t1))))))) % 233.60/237.50 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t83 @t56 (= @t81 @t54) (= (tptp.tl @t1) @t60)) @t44)))))) % 233.60/237.50 (assume @p78 @t88) % 233.60/237.50 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t66) @t89)))))))) % 233.60/237.50 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t67) @t89)))))))) % 233.60/237.50 (assume @p81 @t93) % 233.60/237.50 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t66 @t12) (tptp.app @t2 @t19))))))))) % 233.60/237.50 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t66) (and @t82 @t50))))))) % 233.60/237.50 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 233.60/237.50 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.hd @t66) @t54))))))) % 233.60/237.50 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t56 (= (tptp.tl @t66) (tptp.app @t60 @t1)))))))) % 233.60/237.50 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t73 (tptp.geq @t1 @t2)) @t3)))))) % 233.60/237.50 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t73 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 233.60/237.50 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 233.60/237.50 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 233.60/237.50 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 @t35) @t76)))))))) % 233.60/237.50 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (or @t3 @t75))))))) % 233.60/237.50 (assume @p93 @t97) % 233.60/237.50 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not (tptp.gt @t1 @t2)))))))) % 233.60/237.50 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 233.60/237.50 (assume @p96 @t132) % 233.60/237.50 (assume @p97 true) % 233.60/237.50 (step @p98 :rule aci_norm :args ((= (or @t134 (or @t133 @t55)) @t135))) % 233.60/237.50 (step @p99 :rule refl :args (@t55)) % 233.60/237.50 (step @p100 :rule bool-double-not-elim :args (@t133)) % 233.60/237.50 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t137 @t55))) % 233.60/237.50 (step @p102 :rule bool-impl-elim :args (@t136 @t55)) % 233.60/237.50 (step @p103 :rule trans :premises (@p102 @p101)) % 233.60/237.50 (step @p104 :rule refl :args (@t134)) % 233.60/237.50 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t134 @t138))) % 233.60/237.50 (step @p106 :rule trans :premises (@p105 @p98)) % 233.60/237.50 (step @p107 :rule bool-impl-elim :args (@t17 @t138)) % 233.60/237.50 (step @p108 :rule trans :premises (@p107 @p106)) % 233.60/237.50 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t138)))) % 233.60/237.50 (step @p110 :rule refl :args (@t55)) % 233.60/237.50 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 233.60/237.50 (step @p112 :rule cong :premises (@p111) :args (@t56)) % 233.60/237.50 (step @p113 :rule cong :premises (@p112 @p110) :args (@t57)) % 233.60/237.50 (step @p114 :rule refl :args (@t17)) % 233.60/237.50 (step @p115 :rule cong :premises (@p114 @p113) :args (@t58)) % 233.60/237.50 (step @p116 :rule cong :premises (@p115) :args (@t59)) % 233.60/237.50 (step @p117 :rule trans :premises (@p116 @p109)) % 233.60/237.50 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 233.60/237.50 (step @p119 :rule refl :args (@t156)) % 233.60/237.50 (step @p120 :rule eq-symm :args (@t154 tptp.nil)) % 233.60/237.50 (step @p121 :rule refl :args (@t158)) % 233.60/237.50 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t160)) % 233.60/237.50 (step @p123 :rule refl :args (@t161)) % 233.60/237.50 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t161 @t160))) % 233.60/237.50 (assume-push @p645 @t161) % 233.60/237.50 (step @p126 :rule instantiate :premises (@p118) :args (@t162)) % 233.60/237.50 (step-pop @p646 :rule scope :premises (@p126)) % 233.60/237.50 (step @p127 :rule process_scope :premises (@p646) :args (@t160)) % 233.60/237.50 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 233.60/237.50 (step @p130 :rule implies_elim :premises (@p129)) % 233.60/237.50 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t164 @t165 (@list @t161))) % 233.60/237.50 (step @p132 :rule quant-miniscope-or :args ((= (forall @t9 @t168) (or @t167 @t153)))) % 233.60/237.50 (step @p133 :rule aci_norm :args ((= @t169 @t168))) % 233.60/237.50 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 @t169))) % 233.60/237.50 (step @p135 :rule trans :premises (@p134 @p132)) % 233.60/237.50 (step @p136 :rule aci_norm :args ((= (or @t134 @t170) @t169))) % 233.60/237.50 (step @p137 :rule bool-impl-elim :args (@t17 @t170)) % 233.60/237.50 (step @p138 :rule trans :premises (@p137 @p136)) % 233.60/237.50 (step @p139 :rule cong :premises (@p138) :args ((forall @t9 (=> @t17 @t170)))) % 233.60/237.50 (step @p140 :rule trans :premises (@p139 @p135)) % 233.60/237.50 (step @p141 :rule quant-miniscope-or :args ((= (forall @t7 @t171) @t170))) % 233.60/237.50 (step @p142 :rule aci_norm :args ((= @t172 @t171))) % 233.60/237.50 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 @t172))) % 233.60/237.50 (step @p144 :rule trans :premises (@p143 @p141)) % 233.60/237.50 (step @p145 :rule aci_norm :args ((= (or @t166 @t173) @t172))) % 233.60/237.50 (step @p146 :rule bool-impl-elim :args (@t21 @t173)) % 233.60/237.50 (step @p147 :rule trans :premises (@p146 @p145)) % 233.60/237.50 (step @p148 :rule cong :premises (@p147) :args ((forall @t7 (=> @t21 @t173)))) % 233.60/237.50 (step @p149 :rule trans :premises (@p148 @p144)) % 233.60/237.50 (step @p150 :rule aci_norm :args ((= (or @t133 @t151 @t166 @t174) @t173))) % 233.60/237.50 (step @p151 :rule aci_norm :args ((= (or @t134 false @t139) @t174))) % 233.60/237.50 (step @p152 :rule refl :args (@t139)) % 233.60/237.50 (step @p153 :rule evaluate :args ((not true))) % 233.60/237.50 (step @p154 :rule eq-refl :args (@t2)) % 233.60/237.50 (step @p155 :rule cong :premises (@p154) :args (@t175)) % 233.60/237.50 (step @p156 :rule trans :premises (@p155 @p153)) % 233.60/237.50 (step @p157 :rule refl :args (@t134)) % 233.60/237.50 (step @p158 :rule nary_cong :premises (@p157 @p156 @p152) :args (@t176)) % 233.60/237.50 (step @p159 :rule trans :premises (@p158 @p151)) % 233.60/237.50 (step @p160 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t89) @t177 @t121 @t120)) @t176))) % 233.60/237.50 (step @p161 :rule refl :args (@t120)) % 233.60/237.50 (step @p162 :rule refl :args (@t121)) % 233.60/237.50 (step @p163 :rule refl :args (@t177)) % 233.60/237.50 (step @p164 :rule eq-symm :args (@t2 @t12)) % 233.60/237.50 (step @p165 :rule cong :premises (@p164) :args (@t121)) % 233.60/237.50 (step @p166 :rule nary_cong :premises (@p165 @p163 @p162 @p161) :args (@t178)) % 233.60/237.50 (step @p167 :rule aci_norm :args ((= @t179 @t178))) % 233.60/237.50 (step @p168 :rule trans :premises (@p167 @p166)) % 233.60/237.50 (step @p169 :rule cong :premises (@p168) :args (@t180)) % 233.60/237.50 (step @p170 :rule trans :premises (@p169 @p160)) % 233.60/237.50 (step @p171 :rule trans :premises (@p170 @p159)) % 233.60/237.50 (step @p172 :rule refl :args (@t166)) % 233.60/237.50 (step @p173 :rule refl :args (@t151)) % 233.60/237.50 (step @p174 :rule refl :args (@t133)) % 233.60/237.50 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172 @p171) :args (@t181)) % 233.60/237.50 (step @p176 :rule trans :premises (@p175 @p150)) % 233.60/237.50 (step @p177 :rule quant-miniscope-or :args ((= (forall @t16 @t182) @t181))) % 233.60/237.50 (step @p178 :rule aci_norm :args ((= @t183 @t182))) % 233.60/237.50 (step @p179 :rule cong :premises (@p178) :args ((forall @t16 @t183))) % 233.60/237.50 (step @p180 :rule trans :premises (@p179 @p177)) % 233.60/237.50 (step @p181 :rule trans :premises (@p180 @p176)) % 233.60/237.50 (step @p182 :rule aci_norm :args ((= (or @t177 @t184) @t183))) % 233.60/237.50 (step @p183 :rule bool-impl-elim :args (@t15 @t184)) % 233.60/237.50 (step @p184 :rule trans :premises (@p183 @p182)) % 233.60/237.50 (step @p185 :rule cong :premises (@p184) :args ((forall @t16 (=> @t15 @t184)))) % 233.60/237.50 (step @p186 :rule trans :premises (@p185 @p181)) % 233.60/237.50 (step @p187 :rule aci_norm :args ((= (or @t166 false) @t166))) % 233.60/237.50 (step @p188 :rule eq-refl :args (@t1)) % 233.60/237.50 (step @p189 :rule cong :premises (@p188) :args (@t185)) % 233.60/237.50 (step @p190 :rule trans :premises (@p189 @p153)) % 233.60/237.50 (step @p191 :rule nary_cong :premises (@p172 @p190) :args (@t186)) % 233.60/237.50 (step @p192 :rule trans :premises (@p191 @p187)) % 233.60/237.50 (step @p193 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t187 @t122)) @t186))) % 233.60/237.50 (step @p194 :rule refl :args (@t122)) % 233.60/237.50 (step @p195 :rule refl :args (@t187)) % 233.60/237.50 (step @p196 :rule eq-symm :args (@t1 @t10)) % 233.60/237.50 (step @p197 :rule cong :premises (@p196) :args (@t122)) % 233.60/237.50 (step @p198 :rule nary_cong :premises (@p197 @p195 @p194) :args (@t188)) % 233.60/237.50 (step @p199 :rule aci_norm :args ((= @t189 @t188))) % 233.60/237.50 (step @p200 :rule trans :premises (@p199 @p198)) % 233.60/237.50 (step @p201 :rule cong :premises (@p200) :args (@t190)) % 233.60/237.50 (step @p202 :rule trans :premises (@p201 @p193)) % 233.60/237.50 (step @p203 :rule trans :premises (@p202 @p192)) % 233.60/237.50 (step @p204 :rule refl :args (@t120)) % 233.60/237.50 (step @p205 :rule refl :args (@t121)) % 233.60/237.50 (step @p206 :rule nary_cong :premises (@p205 @p204 @p174 @p173 @p203) :args (@t191)) % 233.60/237.50 (step @p207 :rule quant-miniscope-or :args ((= (forall @t14 @t192) @t191))) % 233.60/237.50 (step @p208 :rule aci_norm :args ((= @t193 @t192))) % 233.60/237.50 (step @p209 :rule cong :premises (@p208) :args ((forall @t14 @t193))) % 233.60/237.50 (step @p210 :rule trans :premises (@p209 @p207)) % 233.60/237.50 (step @p211 :rule trans :premises (@p210 @p206)) % 233.60/237.50 (step @p212 :rule aci_norm :args ((= (or @t187 @t194) @t193))) % 233.60/237.50 (step @p213 :rule bool-impl-elim :args (@t13 @t194)) % 233.60/237.50 (step @p214 :rule trans :premises (@p213 @p212)) % 233.60/237.50 (step @p215 :rule cong :premises (@p214) :args ((forall @t14 (=> @t13 @t194)))) % 233.60/237.50 (step @p216 :rule trans :premises (@p215 @p211)) % 233.60/237.50 (step @p217 :rule aci_norm :args ((= @t196 @t149))) % 233.60/237.50 (step @p218 :rule cong :premises (@p217) :args (@t197)) % 233.60/237.50 (step @p219 :rule quant-merge-prenex :args ((= (forall @t33 @t199) @t197))) % 233.60/237.50 (step @p220 :rule alpha_equiv :args (@t200 (@list @t141 @t140) (@list @t27 @t201))) % 233.60/237.50 (step @p221 :rule refl :args (@t148)) % 233.60/237.50 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t202)) % 233.60/237.50 (step @p223 :rule quant-miniscope-or :args ((= @t199 @t202))) % 233.60/237.50 (step @p224 :rule trans :premises (@p223 @p222)) % 233.60/237.50 (step @p225 :rule symm :premises (@p224)) % 233.60/237.50 (step @p226 :rule cong :premises (@p225) :args ((forall @t33 (or @t148 @t209)))) % 233.60/237.50 (step @p227 :rule trans :premises (@p226 @p219)) % 233.60/237.50 (step @p228 :rule trans :premises (@p227 @p218)) % 233.60/237.50 (step @p229 :rule bool-double-not-elim :args (@t209)) % 233.60/237.50 (step @p230 :rule nary_cong :premises (@p221 @p229) :args ((or @t148 (not @t210)))) % 233.60/237.50 (step @p231 :rule bool-and-de-morgan :args (@t117 @t210 true)) % 233.60/237.50 (step @p232 :rule trans :premises (@p231 @p230)) % 233.60/237.50 (step @p233 :rule cong :premises (@p232) :args (@t212)) % 233.60/237.50 (step @p234 :rule trans :premises (@p233 @p228)) % 233.60/237.50 (step @p235 :rule cong :premises (@p234) :args (@t213)) % 233.60/237.50 (step @p236 :rule exists-elim :args ((= (exists @t33 @t211) @t213))) % 233.60/237.50 (step @p237 :rule trans :premises (@p236 @p235)) % 233.60/237.50 (step @p238 :rule aci_norm :args ((= @t215 @t207))) % 233.60/237.50 (step @p239 :rule cong :premises (@p238) :args (@t216)) % 233.60/237.50 (step @p240 :rule quant-merge-prenex :args ((= (forall @t31 @t218) @t216))) % 233.60/237.50 (step @p241 :rule alpha_equiv :args (@t219 (@list @t201) (@list @t101))) % 233.60/237.50 (step @p242 :rule refl :args (@t206)) % 233.60/237.50 (step @p243 :rule nary_cong :premises (@p242 @p241) :args (@t220)) % 233.60/237.50 (step @p244 :rule 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@t157 @t163 @t331))) % 233.60/237.50 (step @p486 :rule refl :args (@t342)) % 233.60/237.50 (step @p487 :rule bool-double-not-elim :args (@t329)) % 233.60/237.50 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or (not @t330) @t342))) % 233.60/237.50 (step @p489 :rule eq-symm :args (@t334 @t154)) % 233.60/237.50 (step @p490 :rule cong :premises (@p489) :args (@t343)) % 233.60/237.50 (step @p491 :rule refl :args (@t338)) % 233.60/237.50 (step @p492 :rule refl :args (@t340)) % 233.60/237.50 (step @p493 :rule nary_cong :premises (@p492 @p491 @p490) :args (@t344)) % 233.60/237.50 (step @p494 :rule cong :premises (@p493) :args (@t345)) % 233.60/237.50 (step @p495 :rule refl :args (@t330)) % 233.60/237.50 (step @p496 :rule cong :premises (@p495 @p494) :args ((=> @t330 @t345))) % 233.60/237.50 (assume-push @p653 @t330) % 233.60/237.50 (step @p498 :rule skolemize :premises (@p485)) % 233.60/237.50 (step-pop @p654 :rule scope :premises (@p498)) % 233.60/237.50 (step @p499 :rule process_scope :premises (@p654) :args (@t345)) % 233.60/237.50 (step @p501 :rule eq_resolve :premises (@p499 @p496)) % 233.60/237.50 (step @p502 :rule implies_elim :premises (@p501)) % 233.60/237.50 (step @p503 :rule eq_resolve :premises (@p502 @p488)) % 233.60/237.50 (step @p504 :rule chain_m_resolution :premises (@p503 @p485) :args (@t342 @t248 (@list @t329))) % 233.60/237.50 (step @p505 :rule bool-double-not-elim :args (@t339)) % 233.60/237.50 (step @p506 :rule refl :args (@t341)) % 233.60/237.50 (step @p507 :rule nary_cong :premises (@p506 @p505) :args ((or @t341 (not @t340)))) % 233.60/237.50 (step @p508 :rule cnf_or_neg :args (@t341 0)) % 233.60/237.50 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 233.60/237.50 (step @p510 :rule reordering :premises (@p509) :args ((or @t339 @t341))) % 233.60/237.50 (step @p511 :rule chain_m_resolution :premises (@p510 @p504) :args (@t339 @t248 @t346)) % 233.60/237.50 (step @p512 :rule true_intro :premises (@p511)) % 233.60/237.50 (step @p513 :rule aci_norm :args ((= @t351 (or @t134 @t349 @t348)))) % 233.60/237.50 (step @p514 :rule cong :premises (@p513) :args (@t352)) % 233.60/237.50 (step @p515 :rule quant-merge-prenex :args ((= (forall @t9 @t354) @t352))) % 233.60/237.50 (step @p516 :rule alpha_equiv :args (@t355 (@list @t347) @t276)) % 233.60/237.50 (step @p517 :rule nary_cong :premises (@p104 @p516) :args (@t356)) % 233.60/237.50 (step @p518 :rule quant-miniscope-or :args ((= @t354 @t356))) % 233.60/237.50 (step @p519 :rule trans :premises (@p518 @p517)) % 233.60/237.50 (step @p520 :rule symm :premises (@p519)) % 233.60/237.50 (step @p521 :rule cong :premises (@p520) :args ((forall @t9 (or @t134 @t358)))) % 233.60/237.50 (step @p522 :rule trans :premises (@p521 @p515)) % 233.60/237.50 (step @p523 :rule trans :premises (@p522 @p514)) % 233.60/237.50 (step @p524 :rule bool-impl-elim :args (@t17 @t358)) % 233.60/237.50 (step @p525 :rule cong :premises (@p524) :args ((forall @t9 (=> @t17 @t358)))) % 233.60/237.50 (step @p526 :rule trans :premises (@p525 @p523)) % 233.60/237.50 (step @p527 :rule bool-impl-elim :args (@t6 @t357)) % 233.60/237.50 (step @p528 :rule cong :premises (@p527) :args ((forall @t7 (=> @t6 @t357)))) % 233.60/237.50 (step @p529 :rule eq-symm :args (@t61 @t2)) % 233.60/237.50 (step @p530 :rule refl :args (@t6)) % 233.60/237.50 (step @p531 :rule cong :premises (@p530 @p529) :args (@t62)) % 233.60/237.50 (step @p532 :rule cong :premises (@p531) :args (@t63)) % 233.60/237.50 (step @p533 :rule trans :premises (@p532 @p528)) % 233.60/237.50 (step @p534 :rule cong :premises (@p114 @p533) :args (@t64)) % 233.60/237.50 (step @p535 :rule cong :premises (@p534) :args (@t65)) % 233.60/237.50 (step @p536 :rule trans :premises (@p535 @p526)) % 233.60/237.50 (step @p537 :rule eq_resolve :premises (@p25 @p536)) % 233.60/237.50 (step @p538 :rule instantiate :premises (@p537) :args ((@list @t332 @t333))) % 233.60/237.50 (step @p539 :rule bool-double-not-elim :args (@t337)) % 233.60/237.50 (step @p540 :rule nary_cong :premises (@p506 @p539) :args ((or @t341 (not @t338)))) % 233.60/237.50 (step @p541 :rule cnf_or_neg :args (@t341 1)) % 233.60/237.50 (step @p542 :rule eq_resolve :premises (@p541 @p540)) % 233.60/237.50 (step @p543 :rule reordering :premises (@p542) :args ((or @t337 @t341))) % 233.60/237.50 (step @p544 :rule chain_m_resolution :premises (@p543 @p504) :args (@t337 @t248 @t346)) % 233.60/237.50 (step @p545 :rule cnf_or_pos :args (@t360)) % 233.60/237.50 (step @p546 :rule reordering :premises (@p545) :args ((or @t340 @t338 @t359 (not @t360)))) % 233.60/237.50 (step @p547 :rule chain_m_resolution :premises (@p546 @p511 @p544 @p538) :args (@t359 @t282 (@list @t339 @t337 @t360))) % 233.60/237.50 (step @p548 :rule symm :premises (@p547)) % 233.60/237.50 (step @p549 :rule bool-double-not-elim :args (@t335)) % 233.60/237.50 (step @p550 :rule nary_cong :premises (@p506 @p549) :args ((or @t341 (not @t336)))) % 233.60/237.50 (step @p551 :rule cnf_or_neg :args (@t341 2)) % 233.60/237.50 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 233.60/237.50 (step @p553 :rule reordering :premises (@p552) :args ((or @t335 @t341))) % 233.60/237.50 (step @p554 :rule chain_m_resolution :premises (@p553 @p504) :args (@t335 @t248 @t346)) % 233.60/237.50 (step @p555 :rule cong :premises (@p554) :args (@t251)) % 233.60/237.50 (step @p556 :rule trans :premises (@p555 @p548)) % 233.60/237.50 (step @p557 :rule cong :premises (@p556) :args (@t258)) % 233.60/237.50 (step @p558 :rule trans :premises (@p557 @p512)) % 233.60/237.50 (step @p559 :rule true_elim :premises (@p558)) % 233.60/237.50 (step @p560 :rule cnf_or_pos :args (@t363)) % 233.60/237.50 (step @p561 :rule reordering :premises (@p560) :args ((or @t261 @t259 @t362 (not @t363)))) % 233.60/237.50 (step @p562 :rule chain_m_resolution :premises (@p561 @p343 @p559 @p423) :args (@t362 @t282 (@list @t156 @t258 @t363))) % 233.60/237.50 (step @p563 :rule aci_norm :args ((= (or @t134 (or @t133 @t364)) @t365))) % 233.60/237.50 (step @p564 :rule refl :args (@t364)) % 233.60/237.50 (step @p565 :rule nary_cong :premises (@p100 @p564) :args ((or @t137 @t364))) % 233.60/237.50 (step @p566 :rule bool-impl-elim :args (@t136 @t364)) % 233.60/237.50 (step @p567 :rule trans :premises (@p566 @p565)) % 233.60/237.50 (step @p568 :rule nary_cong :premises (@p104 @p567) :args ((or @t134 @t366))) % 233.60/237.50 (step @p569 :rule trans :premises (@p568 @p563)) % 233.60/237.50 (step @p570 :rule bool-impl-elim :args (@t17 @t366)) % 233.60/237.50 (step @p571 :rule trans :premises (@p570 @p569)) % 233.60/237.50 (step @p572 :rule cong :premises (@p571) :args ((forall @t9 (=> @t17 @t366)))) % 233.60/237.50 (step @p573 :rule eq-symm :args (@t85 @t2)) % 233.60/237.50 (step @p574 :rule cong :premises (@p112 @p573) :args (@t86)) % 233.60/237.50 (step @p575 :rule cong :premises (@p114 @p574) :args (@t87)) % 233.60/237.50 (step @p576 :rule cong :premises (@p575) :args (@t88)) % 233.60/237.50 (step @p577 :rule trans :premises (@p576 @p572)) % 233.60/237.50 (step @p578 :rule eq_resolve :premises (@p78 @p577)) % 233.60/237.50 (step @p579 :rule refl :args (@t367)) % 233.60/237.50 (step @p580 :rule nary_cong :premises (@p121 @p120 @p579) :args (@t368)) % 233.60/237.50 (step @p581 :rule refl :args (@t369)) % 233.60/237.50 (step @p582 :rule cong :premises (@p581 @p580) :args ((=> @t369 @t368))) % 233.60/237.50 (assume-push @p655 @t369) % 233.60/237.50 (step @p584 :rule instantiate :premises (@p578) :args (@t162)) % 233.60/237.50 (step-pop @p656 :rule scope :premises (@p584)) % 233.60/237.50 (step @p585 :rule process_scope :premises (@p656) :args (@t368)) % 233.60/237.50 (step @p587 :rule eq_resolve :premises (@p585 @p582)) % 233.60/237.50 (step @p588 :rule implies_elim :premises (@p587)) % 233.60/237.50 (step @p589 :rule chain_m_resolution :premises (@p588 @p578) :args (@t370 @t165 (@list @t369))) % 233.60/237.50 (step @p590 :rule cnf_or_pos :args (@t370)) % 233.60/237.50 (step @p591 :rule reordering :premises (@p590) :args ((or @t158 @t163 @t367 (not @t370)))) % 233.60/237.50 (step @p592 :rule chain_m_resolution :premises (@p591 @p340 @p333 @p589) :args (@t367 @t250 (@list @t157 @t163 @t370))) % 233.60/237.50 (step @p593 :rule trans :premises (@p592 @p562 @p402)) % 233.60/237.50 (step @p594 :rule cnf_or_pos :args (@t265)) % 233.60/237.50 (step @p595 :rule reordering :premises (@p594) :args ((or @t260 @t261 @t259 @t253 @t264 (not @t265)))) % 233.60/237.50 (step @p596 :rule chain_m_resolution :premises (@p595 @p17 @p343 @p559 @p593 @p365) :args (@t253 (@list false false false false false) (@list @t43 @t156 @t258 @t263 @t265))) % 233.60/237.50 (step @p597 :rule skolemize :premises (@p596)) % 233.60/237.50 (step @p598 :rule bool-double-not-elim :args (@t372)) % 233.60/237.50 (step @p599 :rule refl :args (@t377)) % 233.60/237.50 (step @p600 :rule nary_cong :premises (@p599 @p598) :args ((or @t377 (not @t376)))) % 233.60/237.50 (step @p601 :rule cnf_or_neg :args (@t377 0)) % 233.60/237.50 (step @p602 :rule eq_resolve :premises (@p601 @p600)) % 233.60/237.50 (step @p603 :rule reordering :premises (@p602) :args ((or @t372 @t377))) % 233.60/237.50 (step @p604 :rule chain_m_resolution :premises (@p603 @p597) :args (@t372 @t248 @t378)) % 233.60/237.50 (step @p605 :rule aci_norm :args ((= @t384 (or @t382 @t381 @t380)))) % 233.60/237.50 (step @p606 :rule cong :premises (@p605) :args (@t385)) % 233.60/237.50 (step @p607 :rule quant-merge-prenex :args ((= (forall @t9 @t387) @t385))) % 233.60/237.50 (step @p608 :rule alpha_equiv :args (@t388 (@list @t379) @t276)) % 233.60/237.50 (step @p609 :rule refl :args (@t382)) % 233.60/237.50 (step @p610 :rule nary_cong :premises (@p609 @p608) :args (@t389)) % 233.60/237.50 (step @p611 :rule quant-miniscope-or :args ((= @t387 @t389))) % 233.60/237.50 (step @p612 :rule trans :premises (@p611 @p610)) % 233.60/237.50 (step @p613 :rule symm :premises (@p612)) % 233.60/237.50 (step @p614 :rule cong :premises (@p613) :args ((forall @t9 (or @t382 @t390)))) % 233.60/237.51 (step @p615 :rule trans :premises (@p614 @p607)) % 233.60/237.51 (step @p616 :rule trans :premises (@p615 @p606)) % 233.60/237.51 (step @p617 :rule bool-impl-elim :args (@t8 @t390)) % 233.60/237.51 (step @p618 :rule cong :premises (@p617) :args ((forall @t9 (=> @t8 @t390)))) % 233.60/237.51 (step @p619 :rule trans :premises (@p618 @p616)) % 233.60/237.51 (step @p620 :rule bool-impl-elim :args (@t6 @t94)) % 233.60/237.51 (step @p621 :rule cong :premises (@p620) :args (@t95)) % 233.60/237.51 (step @p622 :rule refl :args (@t8)) % 233.60/237.51 (step @p623 :rule cong :premises (@p622 @p621) :args (@t96)) % 233.60/237.51 (step @p624 :rule cong :premises (@p623) :args (@t97)) % 233.60/237.51 (step @p625 :rule trans :premises (@p624 @p619)) % 233.60/237.51 (step @p626 :rule eq_resolve :premises (@p93 @p625)) % 233.60/237.51 (step @p627 :rule instantiate :premises (@p626) :args ((@list @t155 @t371))) % 233.60/237.51 (step @p628 :rule cnf_or_neg :args (@t377 4)) % 233.60/237.51 (step @p629 :rule chain_m_resolution :premises (@p628 @p597) :args ((not @t373) @t248 @t378)) % 233.60/237.51 (step @p630 :rule cnf_and_pos :args (@t391 1)) % 233.60/237.51 (step @p631 :rule reordering :premises (@p630) :args ((or @t373 @t392))) % 233.60/237.51 (step @p632 :rule chain_m_resolution :premises (@p631 @p629) :args (@t392 @t248 (@list @t373))) % 233.60/237.51 (step @p633 :rule bool-double-not-elim :args (@t374)) % 233.60/237.51 (step @p634 :rule nary_cong :premises (@p599 @p633) :args ((or @t377 (not @t375)))) % 233.60/237.51 (step @p635 :rule cnf_or_neg :args (@t377 3)) % 233.60/237.51 (step @p636 :rule eq_resolve :premises (@p635 @p634)) % 233.60/237.51 (step @p637 :rule reordering :premises (@p636) :args ((or @t374 @t377))) % 233.60/237.51 (step @p638 :rule chain_m_resolution :premises (@p637 @p597) :args (@t374 @t248 @t378)) % 233.60/237.51 (step @p639 :rule cnf_equiv_pos1 :args (@t393)) % 233.60/237.51 (step @p640 :rule reordering :premises (@p639) :args ((or @t375 @t391 @t394))) % 233.60/237.51 (step @p641 :rule chain_m_resolution :premises (@p640 @p638 @p632) :args (@t394 (@list false true) (@list @t374 @t391))) % 233.60/237.51 (step @p642 :rule cnf_or_pos :args (@t395)) % 233.60/237.51 (step @p643 :rule reordering :premises (@p642) :args ((or @t261 @t376 @t393 (not @t395)))) % 233.60/237.51 (step @p644 false :rule chain_m_resolution :premises (@p643 @p641 @p627 @p604 @p343) :args (false (@list true false false false) (@list @t393 @t395 @t372 @t156))) % 233.60/237.51 ) % 233.60/237.51 % SZS output end Proof % 233.60/237.51 % cvc5 exiting %------------------------------------------------------------------------------