%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC081+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 08:57:58 AM UTC 2026 % Result : Theorem 34.38s 34.70s % Output : Proof 34.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC081+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 19:12:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.38/34.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.38/34.70 --- Run --no-e-matching --full-saturate-quant at 6... % 34.38/34.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.38/34.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.38/34.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.38/34.70 % SZS status Theorem % 34.38/34.70 % SZS output start Proof % 34.38/34.70 ( % 34.38/34.70 (declare-sort $$unsorted 0) % 34.38/34.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 34.38/34.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 34.38/34.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.38/34.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 34.38/34.70 (declare-const tptp.nil $$unsorted) % 34.38/34.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 34.38/34.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.38/34.70 (define @t1 () (@var "V" $$unsorted)) % 34.38/34.70 (define @t2 () (@var "U" $$unsorted)) % 34.38/34.70 (define @t3 () (= @t2 @t1)) % 34.38/34.70 (define @t4 () (not @t3)) % 34.38/34.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 34.38/34.70 (define @t6 () (tptp.ssItem @t1)) % 34.38/34.70 (define @t7 () (@list @t1)) % 34.38/34.70 (define @t8 () (tptp.ssItem @t2)) % 34.38/34.70 (define @t9 () (@list @t2)) % 34.38/34.70 (define @t10 () (@var "X" $$unsorted)) % 34.38/34.70 (define @t11 () (tptp.cons @t1 @t10)) % 34.38/34.70 (define @t12 () (@var "W" $$unsorted)) % 34.38/34.70 (define @t13 () (tptp.ssList @t10)) % 34.38/34.70 (define @t14 () (@list @t10)) % 34.38/34.70 (define @t15 () (tptp.ssList @t12)) % 34.38/34.70 (define @t16 () (@list @t12)) % 34.38/34.70 (define @t17 () (tptp.ssList @t2)) % 34.38/34.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 34.38/34.70 (define @t19 () (tptp.app @t1 @t12)) % 34.38/34.70 (define @t20 () (and @t15 (= @t19 @t2))) % 34.38/34.70 (define @t21 () (exists @t16 @t20)) % 34.38/34.70 (define @t22 () (tptp.frontsegP @t2 @t1)) % 34.38/34.70 (define @t23 () (= @t22 @t21)) % 34.38/34.70 (define @t24 () (tptp.ssList @t1)) % 34.38/34.70 (define @t25 () (=> @t24 @t23)) % 34.38/34.70 (define @t26 () (forall @t7 @t25)) % 34.38/34.70 (define @t27 () (=> @t17 @t26)) % 34.38/34.70 (define @t28 () (forall @t9 @t27)) % 34.38/34.70 (define @t29 () (tptp.app @t12 @t1)) % 34.38/34.70 (define @t30 () (tptp.rearsegP @t2 @t1)) % 34.38/34.70 (define @t31 () (tptp.segmentP @t2 @t1)) % 34.38/34.70 (define @t32 () (tptp.leq @t12 @t1)) % 34.38/34.70 (define @t33 () (tptp.leq @t1 @t12)) % 34.38/34.70 (define @t34 () (@var "Z" $$unsorted)) % 34.38/34.70 (define @t35 () (@var "Y" $$unsorted)) % 34.38/34.70 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 34.38/34.70 (define @t37 () (tptp.ssList @t34)) % 34.38/34.70 (define @t38 () (@list @t34)) % 34.38/34.70 (define @t39 () (tptp.ssList @t35)) % 34.38/34.70 (define @t40 () (@list @t35)) % 34.38/34.70 (define @t41 () (tptp.ssItem @t12)) % 34.38/34.70 (define @t42 () (tptp.lt @t1 @t12)) % 34.38/34.70 (define @t43 () (= @t1 @t12)) % 34.38/34.70 (define @t44 () (forall @t7 (=> @t24 @t5))) % 34.38/34.70 (define @t45 () (=> @t17 @t44)) % 34.38/34.70 (define @t46 () (forall @t9 @t45)) % 34.38/34.70 (define @t47 () (tptp.cons @t1 @t2)) % 34.38/34.70 (define @t48 () (tptp.ssList tptp.nil)) % 34.38/34.70 (define @t49 () (= @t1 @t2)) % 34.38/34.70 (define @t50 () (tptp.cons @t12 @t1)) % 34.38/34.70 (define @t51 () (= tptp.nil @t2)) % 34.38/34.70 (define @t52 () (tptp.hd @t2)) % 34.38/34.70 (define @t53 () (not @t51)) % 34.38/34.70 (define @t54 () (tptp.tl @t2)) % 34.38/34.70 (define @t55 () (tptp.app @t2 @t1)) % 34.38/34.70 (define @t56 () (tptp.app @t1 @t2)) % 34.38/34.70 (define @t57 () (tptp.app tptp.nil @t2)) % 34.38/34.70 (define @t58 () (=> @t17 (= @t57 @t2))) % 34.38/34.70 (define @t59 () (forall @t9 @t58)) % 34.38/34.70 (define @t60 () (tptp.leq @t1 @t2)) % 34.38/34.70 (define @t61 () (tptp.leq @t2 @t1)) % 34.38/34.70 (define @t62 () (tptp.geq @t2 @t1)) % 34.38/34.70 (define @t63 () (tptp.lt @t1 @t2)) % 34.38/34.70 (define @t64 () (tptp.lt @t2 @t1)) % 34.38/34.70 (define @t65 () (tptp.lt @t2 @t12)) % 34.38/34.70 (define @t66 () (tptp.gt @t2 @t1)) % 34.38/34.70 (define @t67 () (tptp.memberP @t12 @t2)) % 34.38/34.70 (define @t68 () (tptp.app @t12 @t2)) % 34.38/34.70 (define @t69 () (tptp.segmentP @t2 @t2)) % 34.38/34.70 (define @t70 () (forall @t9 (=> @t17 @t69))) % 34.38/34.70 (define @t71 () (tptp.segmentP (tptp.app @t68 @t10) @t1)) % 34.38/34.70 (define @t72 () (=> @t31 @t71)) % 34.38/34.70 (define @t73 () (forall @t14 (=> @t13 @t72))) % 34.38/34.70 (define @t74 () (=> @t15 @t73)) % 34.38/34.70 (define @t75 () (forall @t16 @t74)) % 34.38/34.70 (define @t76 () (=> @t24 @t75)) % 34.38/34.70 (define @t77 () (forall @t7 @t76)) % 34.38/34.70 (define @t78 () (=> @t17 @t77)) % 34.38/34.70 (define @t79 () (forall @t9 @t78)) % 34.38/34.70 (define @t80 () (tptp.cons @t2 tptp.nil)) % 34.38/34.70 (define @t81 () (tptp.hd @t1)) % 34.38/34.70 (define @t82 () (= tptp.nil @t1)) % 34.38/34.70 (define @t83 () (not @t82)) % 34.38/34.70 (define @t84 () (tptp.cons @t2 @t1)) % 34.38/34.70 (define @t85 () (= @t12 @t2)) % 34.38/34.70 (define @t86 () (not (= tptp.nil @t12))) % 34.38/34.70 (define @t87 () (not (= tptp.nil @t10))) % 34.38/34.70 (define @t88 () (or @t87 @t86)) % 34.38/34.70 (define @t89 () (not (tptp.frontsegP @t12 @t34))) % 34.38/34.70 (define @t90 () (not (tptp.frontsegP @t10 @t34))) % 34.38/34.70 (define @t91 () (not (tptp.neq @t34 tptp.nil))) % 34.38/34.70 (define @t92 () (or @t91 @t90 @t89)) % 34.38/34.70 (define @t93 () (forall @t38 (=> @t37 @t92))) % 34.38/34.70 (define @t94 () (and @t93 @t88)) % 34.38/34.70 (define @t95 () (tptp.segmentP @t2 @t35)) % 34.38/34.70 (define @t96 () (tptp.segmentP @t1 @t35)) % 34.38/34.70 (define @t97 () (tptp.neq @t35 tptp.nil)) % 34.38/34.70 (define @t98 () (and @t39 @t97 @t96 @t95)) % 34.38/34.70 (define @t99 () (exists @t40 @t98)) % 34.38/34.70 (define @t100 () (not (tptp.neq @t1 tptp.nil))) % 34.38/34.70 (define @t101 () (not (= @t2 @t12))) % 34.38/34.70 (define @t102 () (not (= @t1 @t10))) % 34.38/34.70 (define @t103 () (or @t102 @t101 @t100 @t99 @t94)) % 34.38/34.70 (define @t104 () (=> @t13 @t103)) % 34.38/34.70 (define @t105 () (forall @t14 @t104)) % 34.38/34.70 (define @t106 () (=> @t15 @t105)) % 34.38/34.70 (define @t107 () (forall @t16 @t106)) % 34.38/34.70 (define @t108 () (=> @t24 @t107)) % 34.38/34.70 (define @t109 () (forall @t7 @t108)) % 34.38/34.70 (define @t110 () (=> @t17 @t109)) % 34.38/34.70 (define @t111 () (forall @t9 @t110)) % 34.38/34.70 (define @t112 () (not @t111)) % 34.38/34.70 (define @t113 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 34.38/34.70 (define @t114 () (@var "BOUND_VARIABLE_10212" $$unsorted)) % 34.38/34.70 (define @t115 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 34.38/34.70 (define @t116 () (tptp.segmentP (tptp.app (tptp.app @t115 @t2) @t114) @t113)) % 34.38/34.70 (define @t117 () (not (tptp.ssList @t114))) % 34.38/34.70 (define @t118 () (not (tptp.ssList @t115))) % 34.38/34.70 (define @t119 () (not (tptp.segmentP @t2 @t113))) % 34.38/34.70 (define @t120 () (not (tptp.ssList @t113))) % 34.38/34.70 (define @t121 () (not @t17)) % 34.38/34.70 (define @t122 () (or @t120 @t119 @t118 @t117 @t116)) % 34.38/34.70 (define @t123 () (or @t121 @t122)) % 34.38/34.70 (define @t124 () (forall (@list @t2 @t113 @t115 @t114) @t123)) % 34.38/34.70 (define @t125 () (@list @t113 @t115 @t114)) % 34.38/34.70 (define @t126 () (forall @t125 @t123)) % 34.38/34.70 (define @t127 () (forall @t125 @t122)) % 34.38/34.70 (define @t128 () (@var "BOUND_VARIABLE_10189" $$unsorted)) % 34.38/34.70 (define @t129 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 34.38/34.70 (define @t130 () (or @t121 @t127)) % 34.38/34.70 (define @t131 () (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t128) @t1)) % 34.38/34.70 (define @t132 () (not (tptp.ssList @t128))) % 34.38/34.70 (define @t133 () (not (tptp.ssList @t129))) % 34.38/34.70 (define @t134 () (not @t31)) % 34.38/34.70 (define @t135 () (not @t24)) % 34.38/34.70 (define @t136 () (or @t135 @t134 @t133 @t132 @t131)) % 34.38/34.70 (define @t137 () (@list @t1 @t129 @t128)) % 34.38/34.70 (define @t138 () (forall @t137 @t136)) % 34.38/34.70 (define @t139 () (or @t133 @t132 @t131)) % 34.38/34.70 (define @t140 () (or @t135 @t134 @t139)) % 34.38/34.70 (define @t141 () (forall @t137 @t140)) % 34.38/34.70 (define @t142 () (@list @t129 @t128)) % 34.38/34.70 (define @t143 () (forall @t142 @t140)) % 34.38/34.70 (define @t144 () (forall @t142 @t139)) % 34.38/34.70 (define @t145 () (@var "BOUND_VARIABLE_10170" $$unsorted)) % 34.38/34.70 (define @t146 () (or @t135 @t134 @t144)) % 34.38/34.70 (define @t147 () (tptp.segmentP (tptp.app @t68 @t145) @t1)) % 34.38/34.70 (define @t148 () (not (tptp.ssList @t145))) % 34.38/34.70 (define @t149 () (not @t15)) % 34.38/34.70 (define @t150 () (or @t149 @t148 @t147)) % 34.38/34.70 (define @t151 () (@list @t12 @t145)) % 34.38/34.70 (define @t152 () (forall @t151 @t150)) % 34.38/34.70 (define @t153 () (or @t135 @t134 @t152)) % 34.38/34.70 (define @t154 () (or @t134 @t152)) % 34.38/34.70 (define @t155 () (or @t148 @t147)) % 34.38/34.70 (define @t156 () (or @t149 @t155)) % 34.38/34.70 (define @t157 () (forall @t151 @t156)) % 34.38/34.70 (define @t158 () (@list @t145)) % 34.38/34.70 (define @t159 () (forall @t158 @t156)) % 34.38/34.70 (define @t160 () (forall @t158 @t155)) % 34.38/34.70 (define @t161 () (or @t149 @t160)) % 34.38/34.70 (define @t162 () (not @t13)) % 34.38/34.70 (define @t163 () (or @t162 @t71)) % 34.38/34.70 (define @t164 () (forall @t14 @t163)) % 34.38/34.70 (define @t165 () (or @t149 @t164)) % 34.38/34.70 (define @t166 () (forall @t16 @t165)) % 34.38/34.70 (define @t167 () (or @t134 @t166)) % 34.38/34.70 (define @t168 () (or @t134 @t165)) % 34.38/34.70 (define @t169 () (or @t149 @t134 @t164)) % 34.38/34.70 (define @t170 () (or @t134 @t164)) % 34.38/34.70 (define @t171 () (or @t134 @t163)) % 34.38/34.70 (define @t172 () (or @t162 @t134 @t71)) % 34.38/34.70 (define @t173 () (not (= @t2 tptp.nil))) % 34.38/34.70 (define @t174 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 34.38/34.70 (define @t175 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 34.38/34.70 (define @t176 () (or (not (tptp.ssList @t175)) (not (tptp.neq @t175 tptp.nil)) (not (tptp.frontsegP @t174 @t175)) (not (tptp.frontsegP @t2 @t175)))) % 34.38/34.70 (define @t177 () (not @t95)) % 34.38/34.70 (define @t178 () (not @t97)) % 34.38/34.70 (define @t179 () (not @t39)) % 34.38/34.70 (define @t180 () (not (forall @t40 (or @t179 @t178 (not (tptp.segmentP @t174 @t35)) @t177)))) % 34.38/34.70 (define @t181 () (not (tptp.neq @t174 tptp.nil))) % 34.38/34.70 (define @t182 () (not (tptp.ssList @t174))) % 34.38/34.70 (define @t183 () (@list @t2 @t174 @t175)) % 34.38/34.70 (define @t184 () (forall @t183 (or @t121 @t182 @t181 @t180 (and @t176 (or (not (= tptp.nil @t174)) @t173))))) % 34.38/34.70 (define @t185 () (@quantifiers_skolemize @t184 2)) % 34.38/34.70 (define @t186 () (tptp.app @t185 @t12)) % 34.38/34.70 (define @t187 () (@quantifiers_skolemize @t184 0)) % 34.38/34.70 (define @t188 () (forall @t16 (or @t149 (not (= @t187 @t186))))) % 34.38/34.70 (define @t189 () (@quantifiers_skolemize @t188 0)) % 34.38/34.70 (define @t190 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 34.38/34.70 (define @t191 () (= (tptp.frontsegP @t2 @t190) (not (forall @t16 (or @t149 (not (= @t2 (tptp.app @t190 @t12)))))))) % 34.38/34.70 (define @t192 () (not (tptp.ssList @t190))) % 34.38/34.70 (define @t193 () (or @t192 @t191)) % 34.38/34.70 (define @t194 () (or @t121 @t193)) % 34.38/34.70 (define @t195 () (forall (@list @t2 @t190) @t194)) % 34.38/34.70 (define @t196 () (@list @t190)) % 34.38/34.70 (define @t197 () (forall @t196 @t194)) % 34.38/34.70 (define @t198 () (forall @t196 @t193)) % 34.38/34.70 (define @t199 () (@list @t1)) % 34.38/34.70 (define @t200 () (or @t121 @t198)) % 34.38/34.70 (define @t201 () (= @t2 @t19)) % 34.38/34.70 (define @t202 () (= @t22 (not (forall @t16 (or @t149 (not @t201)))))) % 34.38/34.70 (define @t203 () (forall @t7 (or @t135 @t202))) % 34.38/34.70 (define @t204 () (and @t15 @t201)) % 34.38/34.70 (define @t205 () (forall @t16 (not @t204))) % 34.38/34.70 (define @t206 () (not @t205)) % 34.38/34.70 (define @t207 () (@var "BOUND_VARIABLE_9109" $$unsorted)) % 34.38/34.70 (define @t208 () (= (tptp.neq @t2 @t207) (not (= @t2 @t207)))) % 34.38/34.70 (define @t209 () (not (tptp.ssList @t207))) % 34.38/34.70 (define @t210 () (or @t121 @t209 @t208)) % 34.38/34.70 (define @t211 () (or @t209 @t208)) % 34.38/34.70 (define @t212 () (or @t121 @t211)) % 34.38/34.70 (define @t213 () (@list @t2 @t207)) % 34.38/34.70 (define @t214 () (forall @t213 @t212)) % 34.38/34.70 (define @t215 () (@list @t207)) % 34.38/34.70 (define @t216 () (forall @t215 @t212)) % 34.38/34.70 (define @t217 () (forall @t215 @t211)) % 34.38/34.70 (define @t218 () (or @t121 @t217)) % 34.38/34.70 (define @t219 () (forall @t7 (or @t135 @t5))) % 34.38/34.70 (define @t220 () (@quantifiers_skolemize @t184 1)) % 34.38/34.70 (define @t221 () (not (= @t220 tptp.nil))) % 34.38/34.70 (define @t222 () (tptp.neq @t220 tptp.nil)) % 34.38/34.70 (define @t223 () (= @t222 @t221)) % 34.38/34.70 (define @t224 () (not @t48)) % 34.38/34.70 (define @t225 () (tptp.ssList @t220)) % 34.38/34.70 (define @t226 () (not @t225)) % 34.38/34.70 (define @t227 () (or @t226 @t224 @t223)) % 34.38/34.70 (define @t228 () (forall @t213 @t210)) % 34.38/34.70 (define @t229 () (= tptp.nil @t220)) % 34.38/34.70 (define @t230 () (not @t229)) % 34.38/34.70 (define @t231 () (= @t222 @t230)) % 34.38/34.70 (define @t232 () (or @t226 @t224 @t231)) % 34.38/34.70 (define @t233 () (not (= @t174 tptp.nil))) % 34.38/34.70 (define @t234 () (or @t233 @t173)) % 34.38/34.70 (define @t235 () (and @t176 @t234)) % 34.38/34.70 (define @t236 () (or @t121 @t182 @t181 @t180 @t235)) % 34.38/34.70 (define @t237 () (or @t182 @t181 @t180 @t235)) % 34.38/34.70 (define @t238 () (or @t121 @t237)) % 34.38/34.70 (define @t239 () (forall @t183 @t238)) % 34.38/34.70 (define @t240 () (@list @t174 @t175)) % 34.38/34.70 (define @t241 () (forall @t240 @t238)) % 34.38/34.70 (define @t242 () (forall @t240 @t237)) % 34.38/34.70 (define @t243 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 34.38/34.70 (define @t244 () (or @t121 @t242)) % 34.38/34.70 (define @t245 () (not (= @t1 tptp.nil))) % 34.38/34.70 (define @t246 () (or @t245 @t173)) % 34.38/34.70 (define @t247 () (or (not (tptp.ssList @t243)) (not (tptp.neq @t243 tptp.nil)) (not (tptp.frontsegP @t1 @t243)) (not (tptp.frontsegP @t2 @t243)))) % 34.38/34.70 (define @t248 () (and @t247 @t246)) % 34.38/34.70 (define @t249 () (not @t96)) % 34.38/34.70 (define @t250 () (or @t179 @t178 @t249 @t177)) % 34.38/34.70 (define @t251 () (not (forall @t40 @t250))) % 34.38/34.70 (define @t252 () (or @t135 @t100 @t251 @t248)) % 34.38/34.70 (define @t253 () (forall (@list @t1 @t243) @t252)) % 34.38/34.70 (define @t254 () (or @t121 @t253)) % 34.38/34.70 (define @t255 () (@list @t243)) % 34.38/34.70 (define @t256 () (forall @t255 @t252)) % 34.38/34.70 (define @t257 () (forall @t255 @t246)) % 34.38/34.70 (define @t258 () (forall @t255 @t247)) % 34.38/34.70 (define @t259 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 34.38/34.70 (define @t260 () (@list @t259)) % 34.38/34.70 (define @t261 () (and @t258 @t257)) % 34.38/34.70 (define @t262 () (forall @t255 @t248)) % 34.38/34.70 (define @t263 () (or @t135 @t100 @t251 @t262)) % 34.38/34.70 (define @t264 () (and (forall (@list @t259) (or (not (tptp.ssList @t259)) (not (tptp.neq @t259 tptp.nil)) (not (tptp.frontsegP @t1 @t259)) (not (tptp.frontsegP @t2 @t259)))) @t246)) % 34.38/34.70 (define @t265 () (or @t135 @t100 @t251 @t264)) % 34.38/34.70 (define @t266 () (forall @t7 @t265)) % 34.38/34.70 (define @t267 () (or @t121 @t266)) % 34.38/34.70 (define @t268 () (or @t121 @t265)) % 34.38/34.70 (define @t269 () (or @t135 @t100 @t251 @t121 @t264)) % 34.38/34.70 (define @t270 () (or @t100 @t251 @t135 @t121 @t264)) % 34.38/34.70 (define @t271 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 34.38/34.70 (define @t272 () (@list @t271)) % 34.38/34.70 (define @t273 () (forall @t272 @t246)) % 34.38/34.70 (define @t274 () (not (tptp.frontsegP @t1 @t271))) % 34.38/34.70 (define @t275 () (not (tptp.neq @t271 tptp.nil))) % 34.38/34.70 (define @t276 () (not (tptp.ssList @t271))) % 34.38/34.70 (define @t277 () (or @t276 @t275 @t274 (not (tptp.frontsegP @t2 @t271)))) % 34.38/34.70 (define @t278 () (forall @t272 @t277)) % 34.38/34.70 (define @t279 () (@list @t271)) % 34.38/34.70 (define @t280 () (and @t278 @t273)) % 34.38/34.70 (define @t281 () (and @t277 @t246)) % 34.38/34.70 (define @t282 () (forall @t272 @t281)) % 34.38/34.70 (define @t283 () (or @t121 @t282)) % 34.38/34.70 (define @t284 () (or @t121 @t281)) % 34.38/34.70 (define @t285 () (not (= @t2 @t2))) % 34.38/34.70 (define @t286 () (or @t121 @t285 @t281)) % 34.38/34.70 (define @t287 () (not (= @t12 tptp.nil))) % 34.38/34.70 (define @t288 () (or @t245 @t287)) % 34.38/34.70 (define @t289 () (or @t276 @t275 @t274 (not (tptp.frontsegP @t12 @t271)))) % 34.38/34.70 (define @t290 () (and @t289 @t288)) % 34.38/34.70 (define @t291 () (or @t101 @t149 @t101 @t290)) % 34.38/34.70 (define @t292 () (or @t149 @t101 @t290)) % 34.38/34.70 (define @t293 () (forall @t16 @t292)) % 34.38/34.70 (define @t294 () (forall @t272 @t293)) % 34.38/34.70 (define @t295 () (forall (@list @t271 @t12) @t292)) % 34.38/34.70 (define @t296 () (forall (@list @t12 @t271) @t292)) % 34.38/34.70 (define @t297 () (forall @t272 @t292)) % 34.38/34.70 (define @t298 () (forall @t272 @t288)) % 34.38/34.70 (define @t299 () (forall @t272 @t289)) % 34.38/34.70 (define @t300 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 34.38/34.70 (define @t301 () (@list @t300)) % 34.38/34.70 (define @t302 () (and @t299 @t298)) % 34.38/34.70 (define @t303 () (forall @t272 @t290)) % 34.38/34.70 (define @t304 () (or @t149 @t101 @t303)) % 34.38/34.70 (define @t305 () (and (forall (@list @t300) (or (not (tptp.ssList @t300)) (not (tptp.neq @t300 tptp.nil)) (not (tptp.frontsegP @t1 @t300)) (not (tptp.frontsegP @t12 @t300)))) @t288)) % 34.38/34.70 (define @t306 () (or @t149 @t101 @t305)) % 34.38/34.70 (define @t307 () (forall @t16 @t306)) % 34.38/34.70 (define @t308 () (or @t100 @t251 @t135 @t307)) % 34.38/34.70 (define @t309 () (or @t100 @t251 @t135 @t306)) % 34.38/34.70 (define @t310 () (or @t149 @t101 @t100 @t251 @t135 @t305)) % 34.38/34.70 (define @t311 () (or @t101 @t100 @t251 @t135 @t305)) % 34.38/34.70 (define @t312 () (@var "BOUND_VARIABLE_10957" $$unsorted)) % 34.38/34.70 (define @t313 () (@list @t312)) % 34.38/34.70 (define @t314 () (forall @t313 @t288)) % 34.38/34.70 (define @t315 () (not (tptp.frontsegP @t12 @t312))) % 34.38/34.70 (define @t316 () (not (tptp.neq @t312 tptp.nil))) % 34.38/34.70 (define @t317 () (not (tptp.ssList @t312))) % 34.38/34.70 (define @t318 () (or @t317 @t316 (not (tptp.frontsegP @t1 @t312)) @t315)) % 34.38/34.70 (define @t319 () (forall @t313 @t318)) % 34.38/34.70 (define @t320 () (@list @t312)) % 34.38/34.70 (define @t321 () (and @t319 @t314)) % 34.38/34.70 (define @t322 () (and @t318 @t288)) % 34.38/34.70 (define @t323 () (forall @t313 @t322)) % 34.38/34.70 (define @t324 () (or @t135 @t323)) % 34.38/34.70 (define @t325 () (or @t135 @t322)) % 34.38/34.70 (define @t326 () (not (= @t1 @t1))) % 34.38/34.70 (define @t327 () (or @t135 @t326 @t322)) % 34.38/34.70 (define @t328 () (or (not (= @t10 tptp.nil)) @t287)) % 34.38/34.70 (define @t329 () (or @t317 @t316 (not (tptp.frontsegP @t10 @t312)) @t315)) % 34.38/34.70 (define @t330 () (and @t329 @t328)) % 34.38/34.70 (define @t331 () (or @t102 @t162 @t102 @t330)) % 34.38/34.70 (define @t332 () (or @t162 @t102 @t330)) % 34.38/34.70 (define @t333 () (forall @t14 @t332)) % 34.38/34.70 (define @t334 () (forall @t313 @t333)) % 34.38/34.70 (define @t335 () (forall (@list @t312 @t10) @t332)) % 34.38/34.70 (define @t336 () (forall (@list @t10 @t312) @t332)) % 34.38/34.70 (define @t337 () (forall @t313 @t332)) % 34.38/34.70 (define @t338 () (forall @t313 @t328)) % 34.38/34.70 (define @t339 () (forall @t313 @t329)) % 34.38/34.70 (define @t340 () (and @t339 @t338)) % 34.38/34.70 (define @t341 () (forall @t313 @t330)) % 34.38/34.70 (define @t342 () (or @t162 @t102 @t341)) % 34.38/34.70 (define @t343 () (not @t37)) % 34.38/34.70 (define @t344 () (or @t343 @t91 @t90 @t89)) % 34.38/34.70 (define @t345 () (and (forall @t38 @t344) @t328)) % 34.38/34.70 (define @t346 () (or @t162 @t102 @t345)) % 34.38/34.70 (define @t347 () (forall @t14 @t346)) % 34.38/34.70 (define @t348 () (or @t101 @t100 @t251 @t347)) % 34.38/34.70 (define @t349 () (or @t101 @t100 @t251 @t346)) % 34.38/34.70 (define @t350 () (or @t162 @t102 @t101 @t100 @t251 @t345)) % 34.38/34.70 (define @t351 () (or @t102 @t101 @t100 @t251 @t345)) % 34.38/34.70 (define @t352 () (forall @t40 (not @t98))) % 34.38/34.70 (define @t353 () (not @t352)) % 34.38/34.70 (define @t354 () (or @t230 (not (= tptp.nil @t187)))) % 34.38/34.70 (define @t355 () (tptp.frontsegP @t187 @t185)) % 34.38/34.70 (define @t356 () (not @t355)) % 34.38/34.70 (define @t357 () (tptp.frontsegP @t220 @t185)) % 34.38/34.70 (define @t358 () (not @t357)) % 34.38/34.70 (define @t359 () (tptp.neq @t185 tptp.nil)) % 34.38/34.70 (define @t360 () (not @t359)) % 34.38/34.70 (define @t361 () (tptp.ssList @t185)) % 34.38/34.70 (define @t362 () (not @t361)) % 34.38/34.70 (define @t363 () (or @t362 @t360 @t358 @t356)) % 34.38/34.70 (define @t364 () (and @t363 @t354)) % 34.38/34.70 (define @t365 () (forall @t40 (or @t179 @t178 (not (tptp.segmentP @t220 @t35)) (not (tptp.segmentP @t187 @t35))))) % 34.38/34.70 (define @t366 () (not @t365)) % 34.38/34.70 (define @t367 () (not @t222)) % 34.38/34.70 (define @t368 () (tptp.ssList @t187)) % 34.38/34.70 (define @t369 () (not @t368)) % 34.38/34.70 (define @t370 () (or @t369 @t226 @t367 @t366 @t364)) % 34.38/34.70 (define @t371 () (not @t370)) % 34.38/34.70 (define @t372 () (not @t184)) % 34.38/34.70 (define @t373 () (not (= @t187 tptp.nil))) % 34.38/34.70 (define @t374 () (or @t230 @t373)) % 34.38/34.70 (define @t375 () (and @t363 @t374)) % 34.38/34.70 (define @t376 () (or @t369 @t226 @t367 @t366 @t375)) % 34.38/34.70 (define @t377 () (not @t376)) % 34.38/34.70 (define @t378 () (@list true)) % 34.38/34.70 (define @t379 () (@list @t370)) % 34.38/34.70 (define @t380 () (@list false false false)) % 34.38/34.70 (define @t381 () (@list false false)) % 34.38/34.70 (define @t382 () (@list @t363)) % 34.38/34.70 (define @t383 () (not @t188)) % 34.38/34.70 (define @t384 () (= @t355 @t383)) % 34.38/34.70 (define @t385 () (or @t369 @t362 @t384)) % 34.38/34.70 (define @t386 () (tptp.ssList @t189)) % 34.38/34.70 (define @t387 () (tptp.app @t185 @t189)) % 34.38/34.70 (define @t388 () (= @t187 @t387)) % 34.38/34.70 (define @t389 () (not @t388)) % 34.38/34.70 (define @t390 () (not @t386)) % 34.38/34.70 (define @t391 () (or @t390 @t389)) % 34.38/34.70 (define @t392 () (@list @t391)) % 34.38/34.70 (define @t393 () (@list @t185)) % 34.38/34.70 (define @t394 () (tptp.segmentP @t185 @t185)) % 34.38/34.70 (define @t395 () (or @t362 @t394)) % 34.38/34.70 (define @t396 () (tptp.app tptp.nil @t185)) % 34.38/34.70 (define @t397 () (tptp.segmentP (tptp.app @t396 @t189) @t185)) % 34.38/34.70 (define @t398 () (not @t394)) % 34.38/34.70 (define @t399 () (or @t362 @t362 @t398 @t224 @t390 @t397)) % 34.38/34.70 (define @t400 () (@list false false false false false)) % 34.38/34.70 (define @t401 () (= @t2 @t57)) % 34.38/34.70 (define @t402 () (= @t185 @t396)) % 34.38/34.70 (define @t403 () (or @t362 @t402)) % 34.38/34.70 (define @t404 () (tptp.segmentP @t187 @t185)) % 34.38/34.70 (define @t405 () (forall @t16 (or @t149 (not (= @t220 @t186))))) % 34.38/34.70 (define @t406 () (@quantifiers_skolemize @t405 0)) % 34.38/34.70 (define @t407 () (not @t405)) % 34.38/34.70 (define @t408 () (= @t357 @t407)) % 34.38/34.70 (define @t409 () (or @t226 @t362 @t408)) % 34.38/34.70 (define @t410 () (tptp.ssList @t406)) % 34.38/34.70 (define @t411 () (tptp.app @t185 @t406)) % 34.38/34.70 (define @t412 () (= @t220 @t411)) % 34.38/34.70 (define @t413 () (not @t412)) % 34.38/34.70 (define @t414 () (not @t410)) % 34.38/34.70 (define @t415 () (or @t414 @t413)) % 34.38/34.70 (define @t416 () (@list @t415)) % 34.38/34.70 (define @t417 () (tptp.segmentP (tptp.app @t396 @t406) @t185)) % 34.38/34.70 (define @t418 () (or @t362 @t362 @t398 @t224 @t414 @t417)) % 34.38/34.70 (define @t419 () (tptp.segmentP @t220 @t185)) % 34.38/34.70 (define @t420 () (not @t404)) % 34.38/34.70 (define @t421 () (not @t419)) % 34.38/34.70 (define @t422 () (or @t362 @t360 @t421 @t420)) % 34.38/34.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 34.38/34.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 34.38/34.70 (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))))))))))) % 34.38/34.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 34.38/34.70 (assume @p5 @t28) % 34.38/34.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 34.38/34.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2))))))))))) % 34.38/34.70 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 34.38/34.70 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 34.38/34.70 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 34.38/34.70 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 34.38/34.70 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 34.38/34.70 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 34.38/34.70 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 34.38/34.70 (assume @p15 @t46) % 34.38/34.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 34.38/34.70 (assume @p17 @t48) % 34.38/34.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 34.38/34.70 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 34.38/34.70 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t50 @t2))))))))) % 34.38/34.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 34.38/34.70 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 34.38/34.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 34.38/34.70 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 34.38/34.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 34.38/34.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t55)))))) % 34.38/34.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 34.38/34.70 (assume @p28 @t59) % 34.38/34.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 34.38/34.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12))))))))) % 34.38/34.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 34.38/34.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 34.38/34.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 34.38/34.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65)))))))) % 34.38/34.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 34.38/34.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 34.38/34.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 34.38/34.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 34.38/34.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 34.38/34.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 34.38/34.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 (tptp.frontsegP @t1 @t2)) @t3)))))) % 34.38/34.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 34.38/34.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 34.38/34.70 (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)))))))))))) % 34.38/34.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 34.38/34.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 34.38/34.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 34.38/34.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 34.38/34.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 34.38/34.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t68 @t1))))))))) % 34.38/34.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 34.38/34.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 34.38/34.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 34.38/34.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 34.38/34.70 (assume @p55 @t70) % 34.38/34.70 (assume @p56 @t79) % 34.38/34.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 34.38/34.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 34.38/34.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t80)))) % 34.38/34.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 34.38/34.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t80)))) % 34.38/34.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 34.38/34.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t80)))) % 34.38/34.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 34.38/34.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t80)))) % 34.38/34.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 34.38/34.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t84) (or @t82 (and @t83 (tptp.totalorderedP @t1) (tptp.leq @t2 @t81))))))))) % 34.38/34.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t80)))) % 34.38/34.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 34.38/34.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t84) (or @t82 (and @t83 (tptp.strictorderedP @t1) (tptp.lt @t2 @t81))))))))) % 34.38/34.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t80)))) % 34.38/34.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 34.38/34.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t80)))) % 34.38/34.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 34.38/34.70 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 34.38/34.70 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t24 (= @t54 @t1))))))) % 34.38/34.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t83 @t53 (= @t81 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 34.38/34.70 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 34.38/34.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t55) @t85)))))))) % 34.38/34.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t85)))))))) % 34.38/34.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 34.38/34.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 34.38/34.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t55) (and @t82 @t51))))))) % 34.38/34.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 34.38/34.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 34.38/34.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 34.38/34.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 34.38/34.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 34.38/34.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 34.38/34.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 34.38/34.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65)))))))) % 34.38/34.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 34.38/34.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 34.38/34.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 34.38/34.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 34.38/34.70 (assume @p96 @t112) % 34.38/34.70 (assume @p97 true) % 34.38/34.70 (step @p98 :rule evaluate :args ((= false true))) % 34.38/34.70 (step @p99 :rule aci_norm :args ((= @t123 (or @t121 @t120 @t119 @t118 @t117 @t116)))) % 34.38/34.70 (step @p100 :rule cong :premises (@p99) :args (@t124)) % 34.38/34.70 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t126) @t124))) % 34.38/34.70 (step @p102 :rule alpha_equiv :args (@t127 (@list @t113 @t115 @t114) (@list @t1 @t129 @t128))) % 34.38/34.70 (step @p103 :rule refl :args (@t121)) % 34.38/34.70 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t130)) % 34.38/34.70 (step @p105 :rule quant-miniscope-or :args ((= @t126 @t130))) % 34.38/34.70 (step @p106 :rule trans :premises (@p105 @p104)) % 34.38/34.70 (step @p107 :rule symm :premises (@p106)) % 34.38/34.70 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t121 @t138)))) % 34.38/34.70 (step @p109 :rule trans :premises (@p108 @p101)) % 34.38/34.70 (step @p110 :rule trans :premises (@p109 @p100)) % 34.38/34.70 (step @p111 :rule bool-impl-elim :args (@t17 @t138)) % 34.38/34.70 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t17 @t138)))) % 34.38/34.70 (step @p113 :rule trans :premises (@p112 @p110)) % 34.38/34.70 (step @p114 :rule aci_norm :args ((= @t140 @t136))) % 34.38/34.70 (step @p115 :rule cong :premises (@p114) :args (@t141)) % 34.38/34.70 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t143) @t141))) % 34.38/34.70 (step @p117 :rule alpha_equiv :args (@t144 (@list @t129 @t128) (@list @t12 @t145))) % 34.38/34.70 (step @p118 :rule refl :args (@t134)) % 34.38/34.70 (step @p119 :rule refl :args (@t135)) % 34.38/34.70 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t146)) % 34.38/34.70 (step @p121 :rule quant-miniscope-or :args ((= @t143 @t146))) % 34.38/34.70 (step @p122 :rule trans :premises (@p121 @p120)) % 34.38/34.70 (step @p123 :rule symm :premises (@p122)) % 34.38/34.70 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t153))) % 34.38/34.70 (step @p125 :rule trans :premises (@p124 @p116)) % 34.38/34.70 (step @p126 :rule trans :premises (@p125 @p115)) % 34.38/34.70 (step @p127 :rule aci_norm :args ((= (or @t135 @t154) @t153))) % 34.38/34.70 (step @p128 :rule bool-impl-elim :args (@t24 @t154)) % 34.38/34.70 (step @p129 :rule trans :premises (@p128 @p127)) % 34.38/34.70 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t24 @t154)))) % 34.38/34.70 (step @p131 :rule trans :premises (@p130 @p126)) % 34.38/34.70 (step @p132 :rule aci_norm :args ((= @t156 @t150))) % 34.38/34.70 (step @p133 :rule cong :premises (@p132) :args (@t157)) % 34.38/34.70 (step @p134 :rule quant-merge-prenex :args ((= (forall @t16 @t159) @t157))) % 34.38/34.70 (step @p135 :rule alpha_equiv :args (@t160 (@list @t145) (@list @t10))) % 34.38/34.70 (step @p136 :rule refl :args (@t149)) % 34.38/34.70 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t161)) % 34.38/34.70 (step @p138 :rule quant-miniscope-or :args ((= @t159 @t161))) % 34.38/34.70 (step @p139 :rule trans :premises (@p138 @p137)) % 34.38/34.70 (step @p140 :rule symm :premises (@p139)) % 34.38/34.70 (step @p141 :rule cong :premises (@p140) :args (@t166)) % 34.38/34.70 (step @p142 :rule trans :premises (@p141 @p134)) % 34.38/34.70 (step @p143 :rule trans :premises (@p142 @p133)) % 34.38/34.70 (step @p144 :rule refl :args (@t134)) % 34.38/34.70 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t167)) % 34.38/34.70 (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t168) @t167))) % 34.38/34.70 (step @p147 :rule aci_norm :args ((= @t169 @t168))) % 34.38/34.70 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t169))) % 34.38/34.70 (step @p149 :rule trans :premises (@p148 @p146)) % 34.38/34.70 (step @p150 :rule trans :premises (@p149 @p145)) % 34.38/34.70 (step @p151 :rule aci_norm :args ((= (or @t149 @t170) @t169))) % 34.38/34.70 (step @p152 :rule bool-impl-elim :args (@t15 @t170)) % 34.38/34.70 (step @p153 :rule trans :premises (@p152 @p151)) % 34.38/34.70 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t170)))) % 34.38/34.70 (step @p155 :rule trans :premises (@p154 @p150)) % 34.38/34.70 (step @p156 :rule quant-miniscope-or :args ((= (forall @t14 @t171) @t170))) % 34.38/34.70 (step @p157 :rule aci_norm :args ((= @t172 @t171))) % 34.38/34.70 (step @p158 :rule cong :premises (@p157) :args ((forall @t14 @t172))) % 34.38/34.70 (step @p159 :rule trans :premises (@p158 @p156)) % 34.38/34.70 (step @p160 :rule aci_norm :args ((= (or @t162 (or @t134 @t71)) @t172))) % 34.38/34.70 (step @p161 :rule bool-impl-elim :args (@t31 @t71)) % 34.38/34.70 (step @p162 :rule refl :args (@t162)) % 34.38/34.70 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t162 @t72))) % 34.38/34.70 (step @p164 :rule trans :premises (@p163 @p160)) % 34.38/34.70 (step @p165 :rule bool-impl-elim :args (@t13 @t72)) % 34.38/34.70 (step @p166 :rule trans :premises (@p165 @p164)) % 34.38/34.70 (step @p167 :rule cong :premises (@p166) :args (@t73)) % 34.38/34.70 (step @p168 :rule trans :premises (@p167 @p159)) % 34.38/34.70 (step @p169 :rule refl :args (@t15)) % 34.38/34.70 (step @p170 :rule cong :premises (@p169 @p168) :args (@t74)) % 34.38/34.70 (step @p171 :rule cong :premises (@p170) :args (@t75)) % 34.38/34.70 (step @p172 :rule trans :premises (@p171 @p155)) % 34.38/34.70 (step @p173 :rule refl :args (@t24)) % 34.38/34.70 (step @p174 :rule cong :premises (@p173 @p172) :args (@t76)) % 34.38/34.70 (step @p175 :rule cong :premises (@p174) :args (@t77)) % 34.38/34.70 (step @p176 :rule trans :premises (@p175 @p131)) % 34.38/34.70 (step @p177 :rule refl :args (@t17)) % 34.38/34.70 (step @p178 :rule cong :premises (@p177 @p176) :args (@t78)) % 34.38/34.70 (step @p179 :rule cong :premises (@p178) :args (@t79)) % 34.38/34.70 (step @p180 :rule trans :premises (@p179 @p113)) % 34.38/34.70 (step @p181 :rule eq_resolve :premises (@p56 @p180)) % 34.38/34.70 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t185 @t185 tptp.nil @t189))) % 34.38/34.70 (step @p183 :rule aci_norm :args ((= @t194 (or @t121 @t192 @t191)))) % 34.38/34.70 (step @p184 :rule cong :premises (@p183) :args (@t195)) % 34.38/34.70 (step @p185 :rule quant-merge-prenex :args ((= (forall @t9 @t197) @t195))) % 34.38/34.70 (step @p186 :rule alpha_equiv :args (@t198 (@list @t190) @t199)) % 34.38/34.70 (step @p187 :rule nary_cong :premises (@p103 @p186) :args (@t200)) % 34.38/34.70 (step @p188 :rule quant-miniscope-or :args ((= @t197 @t200))) % 34.38/34.70 (step @p189 :rule trans :premises (@p188 @p187)) % 34.38/34.70 (step @p190 :rule symm :premises (@p189)) % 34.38/34.70 (step @p191 :rule cong :premises (@p190) :args ((forall @t9 (or @t121 @t203)))) % 34.38/34.70 (step @p192 :rule trans :premises (@p191 @p185)) % 34.38/34.70 (step @p193 :rule trans :premises (@p192 @p184)) % 34.38/34.70 (step @p194 :rule bool-impl-elim :args (@t17 @t203)) % 34.38/34.70 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t17 @t203)))) % 34.38/34.70 (step @p196 :rule trans :premises (@p195 @p193)) % 34.38/34.70 (step @p197 :rule bool-impl-elim :args (@t24 @t202)) % 34.38/34.70 (step @p198 :rule cong :premises (@p197) :args ((forall @t7 (=> @t24 @t202)))) % 34.38/34.70 (step @p199 :rule bool-and-de-morgan :args (@t15 @t201 true)) % 34.38/34.70 (step @p200 :rule cong :premises (@p199) :args (@t205)) % 34.38/34.70 (step @p201 :rule cong :premises (@p200) :args (@t206)) % 34.38/34.70 (step @p202 :rule exists-elim :args ((= (exists @t16 @t204) @t206))) % 34.38/34.70 (step @p203 :rule trans :premises (@p202 @p201)) % 34.38/34.70 (step @p204 :rule eq-symm :args (@t19 @t2)) % 34.38/34.70 (step @p205 :rule nary_cong :premises (@p169 @p204) :args (@t20)) % 34.38/34.70 (step @p206 :rule cong :premises (@p205) :args (@t21)) % 34.38/34.70 (step @p207 :rule trans :premises (@p206 @p203)) % 34.38/34.70 (step @p208 :rule refl :args (@t22)) % 34.38/34.70 (step @p209 :rule cong :premises (@p208 @p207) :args (@t23)) % 34.38/34.70 (step @p210 :rule cong :premises (@p173 @p209) :args (@t25)) % 34.38/34.70 (step @p211 :rule cong :premises (@p210) :args (@t26)) % 34.38/34.70 (step @p212 :rule trans :premises (@p211 @p198)) % 34.38/34.70 (step @p213 :rule cong :premises (@p177 @p212) :args (@t27)) % 34.38/34.70 (step @p214 :rule cong :premises (@p213) :args (@t28)) % 34.38/34.70 (step @p215 :rule trans :premises (@p214 @p196)) % 34.38/34.70 (step @p216 :rule eq_resolve :premises (@p5 @p215)) % 34.38/34.70 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t187 @t185))) % 34.38/34.70 (step @p218 :rule aci_norm :args ((= @t212 @t210))) % 34.38/34.70 (step @p219 :rule cong :premises (@p218) :args (@t214)) % 34.38/34.70 (step @p220 :rule quant-merge-prenex :args ((= (forall @t9 @t216) @t214))) % 34.38/34.70 (step @p221 :rule alpha_equiv :args (@t217 (@list @t207) @t199)) % 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eq-symm :args (tptp.nil @t10)) % 34.38/34.70 (step @p433 :rule cong :premises (@p432) :args (@t87)) % 34.38/34.70 (step @p434 :rule nary_cong :premises (@p433 @p431) :args (@t88)) % 34.38/34.70 (step @p435 :rule aci_norm :args ((= (or @t343 @t92) @t344))) % 34.38/34.70 (step @p436 :rule bool-impl-elim :args (@t37 @t92)) % 34.38/34.70 (step @p437 :rule trans :premises (@p436 @p435)) % 34.38/34.70 (step @p438 :rule cong :premises (@p437) :args (@t93)) % 34.38/34.70 (step @p439 :rule nary_cong :premises (@p438 @p434) :args (@t94)) % 34.38/34.70 (step @p440 :rule aci_norm :args ((= (or @t179 (or @t178 (or @t249 @t177))) @t250))) % 34.38/34.70 (step @p441 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 34.38/34.70 (step @p442 :rule refl :args (@t178)) % 34.38/34.70 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or @t178 (not (and @t96 @t95))))) % 34.38/34.70 (step @p444 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95))) % 34.38/34.70 (step @p445 :rule trans :premises (@p444 @p443)) % 34.38/34.70 (step @p446 :rule refl :args (@t179)) % 34.38/34.70 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t179 (not (and @t97 @t96 @t95))))) % 34.38/34.70 (step @p448 :rule bool-and-de-morgan :args (@t39 @t97 (and @t96 @t95))) % 34.38/34.70 (step @p449 :rule trans :premises (@p448 @p447)) % 34.38/34.70 (step @p450 :rule trans :premises (@p449 @p440)) % 34.38/34.70 (step @p451 :rule cong :premises (@p450) :args (@t352)) % 34.38/34.70 (step @p452 :rule cong :premises (@p451) :args (@t353)) % 34.38/34.70 (step @p453 :rule exists-elim :args ((= @t99 @t353))) % 34.38/34.70 (step @p454 :rule trans :premises (@p453 @p452)) % 34.38/34.70 (step @p455 :rule refl :args (@t102)) % 34.38/34.70 (step @p456 :rule nary_cong :premises (@p455 @p417 @p357 @p454 @p439) :args (@t103)) % 34.38/34.70 (step @p457 :rule refl :args (@t13)) % 34.38/34.70 (step @p458 :rule cong :premises (@p457 @p456) :args (@t104)) % 34.38/34.70 (step @p459 :rule cong :premises (@p458) :args (@t105)) % 34.38/34.70 (step @p460 :rule trans :premises (@p459 @p429)) % 34.38/34.70 (step @p461 :rule cong :premises (@p169 @p460) :args (@t106)) % 34.38/34.70 (step @p462 :rule cong :premises (@p461) :args (@t107)) % 34.38/34.70 (step @p463 :rule trans :premises (@p462 @p369)) % 34.38/34.70 (step @p464 :rule cong :premises (@p173 @p463) :args (@t108)) % 34.38/34.70 (step @p465 :rule cong :premises (@p464) :args (@t109)) % 34.38/34.70 (step @p466 :rule trans :premises (@p465 @p306)) % 34.38/34.70 (step @p467 :rule cong :premises (@p177 @p466) :args (@t110)) % 34.38/34.70 (step @p468 :rule cong :premises (@p467) :args (@t111)) % 34.38/34.70 (step @p469 :rule trans :premises (@p468 @p281)) % 34.38/34.70 (step @p470 :rule cong :premises (@p469) :args (@t112)) % 34.38/34.70 (step @p471 :rule eq_resolve :premises (@p96 @p470)) % 34.38/34.70 (step @p472 :rule refl :args (@t371)) % 34.38/34.70 (step @p473 :rule bool-double-not-elim :args (@t184)) % 34.38/34.70 (step @p474 :rule nary_cong :premises (@p473 @p472) :args ((or (not @t372) @t371))) % 34.38/34.70 (step @p475 :rule eq-symm :args (@t187 tptp.nil)) % 34.38/34.70 (step @p476 :rule cong :premises (@p475) :args (@t373)) % 34.38/34.70 (step @p477 :rule refl :args (@t230)) % 34.38/34.70 (step @p478 :rule nary_cong :premises (@p477 @p476) :args (@t374)) % 34.38/34.70 (step @p479 :rule refl :args (@t363)) % 34.38/34.70 (step @p480 :rule nary_cong :premises (@p479 @p478) :args (@t375)) % 34.38/34.70 (step @p481 :rule refl :args (@t366)) % 34.38/34.70 (step @p482 :rule refl :args (@t367)) % 34.38/34.70 (step @p483 :rule refl :args (@t369)) % 34.38/34.70 (step @p484 :rule nary_cong :premises (@p483 @p243 @p482 @p481 @p480) :args (@t376)) % 34.38/34.70 (step @p485 :rule cong :premises (@p484) :args (@t377)) % 34.38/34.70 (step @p486 :rule refl :args (@t372)) % 34.38/34.70 (step @p487 :rule cong :premises (@p486 @p485) :args ((=> @t372 @t377))) % 34.38/34.70 (assume-push @p653 @t372) % 34.38/34.70 (step @p489 :rule skolemize :premises (@p471)) % 34.38/34.70 (step-pop @p654 :rule scope :premises (@p489)) % 34.38/34.70 (step @p490 :rule process_scope :premises (@p654) :args (@t377)) % 34.38/34.70 (step @p492 :rule eq_resolve :premises (@p490 @p487)) % 34.38/34.70 (step @p493 :rule implies_elim :premises (@p492)) % 34.38/34.70 (step @p494 :rule eq_resolve :premises (@p493 @p474)) % 34.38/34.70 (step @p495 :rule chain_m_resolution :premises (@p494 @p471) :args (@t371 @t378 (@list @t184))) % 34.38/34.70 (step @p496 :rule bool-double-not-elim :args (@t225)) % 34.38/34.70 (step @p497 :rule refl :args (@t370)) % 34.38/34.70 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t370 (not @t226)))) % 34.38/34.70 (step @p499 :rule cnf_or_neg :args (@t370 1)) % 34.38/34.70 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 34.38/34.70 (step @p501 :rule reordering :premises (@p500) :args ((or @t225 @t370))) % 34.38/34.70 (step @p502 :rule chain_m_resolution :premises (@p501 @p495) :args (@t225 @t378 @t379)) % 34.38/34.70 (step @p503 :rule cnf_or_pos :args (@t232)) % 34.38/34.70 (step @p504 :rule reordering :premises (@p503) :args ((or @t224 @t226 @t231 (not @t232)))) % 34.38/34.70 (step @p505 :rule chain_m_resolution :premises (@p504 @p17 @p502 @p253) :args (@t231 @t380 (@list @t48 @t225 @t232))) % 34.38/34.70 (step @p506 :rule bool-double-not-elim :args (@t222)) % 34.38/34.70 (step @p507 :rule nary_cong :premises (@p497 @p506) :args ((or @t370 (not @t367)))) % 34.38/34.71 (step @p508 :rule cnf_or_neg :args (@t370 2)) % 34.38/34.71 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 34.38/34.71 (step @p510 :rule reordering :premises (@p509) :args ((or @t222 @t370))) % 34.38/34.71 (step @p511 :rule chain_m_resolution :premises (@p510 @p495) :args (@t222 @t378 @t379)) % 34.38/34.71 (step @p512 :rule cnf_equiv_pos1 :args (@t231)) % 34.38/34.71 (step @p513 :rule reordering :premises (@p512) :args ((or @t367 @t230 (not @t231)))) % 34.38/34.71 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p505) :args (@t230 @t381 (@list @t222 @t231))) % 34.38/34.71 (step @p515 :rule bool-double-not-elim :args (@t229)) % 34.38/34.71 (step @p516 :rule refl :args (@t354)) % 34.38/34.71 (step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or @t354 (not @t230)))) % 34.38/34.71 (step @p518 :rule cnf_or_neg :args (@t354 0)) % 34.38/34.71 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 34.38/34.71 (step @p520 :rule reordering :premises (@p519) :args ((or @t229 @t354))) % 34.38/34.71 (step @p521 :rule chain_m_resolution :premises (@p520 @p514) :args (@t354 @t378 (@list @t229))) % 34.38/34.71 (step @p522 :rule cnf_or_neg :args (@t370 4)) % 34.38/34.71 (step @p523 :rule chain_m_resolution :premises (@p522 @p495) :args ((not @t364) @t378 @t379)) % 34.38/34.71 (step @p524 :rule cnf_and_neg :args (@t364)) % 34.38/34.71 (step @p525 :rule chain_m_resolution :premises (@p524 @p523 @p521) :args ((not @t363) (@list true false) (@list @t364 @t354))) % 34.38/34.71 (step @p526 :rule bool-double-not-elim :args (@t361)) % 34.38/34.71 (step @p527 :rule nary_cong :premises (@p479 @p526) :args ((or @t363 (not @t362)))) % 34.38/34.71 (step @p528 :rule cnf_or_neg :args (@t363 0)) % 34.38/34.71 (step @p529 :rule eq_resolve :premises (@p528 @p527)) % 34.38/34.71 (step @p530 :rule reordering :premises (@p529) :args ((or @t361 @t363))) % 34.38/34.71 (step @p531 :rule chain_m_resolution :premises (@p530 @p525) :args (@t361 @t378 @t382)) % 34.38/34.71 (step @p532 :rule bool-double-not-elim :args (@t368)) % 34.38/34.71 (step @p533 :rule nary_cong :premises (@p497 @p532) :args ((or @t370 (not @t369)))) % 34.38/34.71 (step @p534 :rule cnf_or_neg :args (@t370 0)) % 34.38/34.71 (step @p535 :rule eq_resolve :premises (@p534 @p533)) % 34.38/34.71 (step @p536 :rule reordering :premises (@p535) :args ((or @t368 @t370))) % 34.38/34.71 (step @p537 :rule chain_m_resolution :premises (@p536 @p495) :args (@t368 @t378 @t379)) % 34.38/34.71 (step @p538 :rule cnf_or_pos :args (@t385)) % 34.38/34.71 (step @p539 :rule reordering :premises (@p538) :args ((or @t369 @t362 @t384 (not @t385)))) % 34.38/34.71 (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p531 @p217) :args (@t384 @t380 (@list @t368 @t361 @t385))) % 34.38/34.71 (step @p541 :rule bool-double-not-elim :args (@t355)) % 34.38/34.71 (step @p542 :rule nary_cong :premises (@p479 @p541) :args ((or @t363 (not @t356)))) % 34.38/34.71 (step @p543 :rule cnf_or_neg :args (@t363 3)) % 34.38/34.71 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 34.38/34.71 (step @p545 :rule reordering :premises (@p544) :args ((or @t355 @t363))) % 34.38/34.71 (step @p546 :rule chain_m_resolution :premises (@p545 @p525) :args (@t355 @t378 @t382)) % 34.38/34.71 (step @p547 :rule cnf_equiv_pos1 :args (@t384)) % 34.38/34.71 (step @p548 :rule reordering :premises (@p547) :args ((or @t356 @t383 (not @t384)))) % 34.38/34.71 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p540) :args (@t383 @t381 (@list @t355 @t384))) % 34.38/34.71 (step @p550 :rule skolemize :premises (@p549)) % 34.38/34.71 (step @p551 :rule bool-double-not-elim :args (@t386)) % 34.38/34.71 (step @p552 :rule refl :args (@t391)) % 34.38/34.71 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t391 (not @t390)))) % 34.38/34.71 (step @p554 :rule cnf_or_neg :args (@t391 0)) % 34.38/34.71 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 34.38/34.71 (step @p556 :rule reordering :premises (@p555) :args ((or @t386 @t391))) % 34.38/34.71 (step @p557 :rule chain_m_resolution :premises (@p556 @p550) :args (@t386 @t378 @t392)) % 34.38/34.71 (step @p558 :rule bool-impl-elim :args (@t17 @t69)) % 34.38/34.71 (step @p559 :rule cong :premises (@p558) :args (@t70)) % 34.38/34.71 (step @p560 :rule eq_resolve :premises (@p55 @p559)) % 34.38/34.71 (step @p561 :rule instantiate :premises (@p560) :args (@t393)) % 34.38/34.71 (step @p562 :rule cnf_or_pos :args (@t395)) % 34.38/34.71 (step @p563 :rule reordering :premises (@p562) :args ((or @t362 @t394 (not @t395)))) % 34.38/34.71 (step @p564 :rule chain_m_resolution :premises (@p563 @p531 @p561) :args (@t394 @t381 (@list @t361 @t395))) % 34.38/34.71 (step @p565 :rule cnf_or_pos :args (@t399)) % 34.38/34.71 (step @p566 :rule factoring :premises (@p565)) % 34.38/34.71 (step @p567 :rule reordering :premises (@p566) :args ((or @t224 @t362 @t398 @t390 @t397 (not @t399)))) % 34.38/34.71 (step @p568 :rule chain_m_resolution :premises (@p567 @p17 @p531 @p564 @p557 @p182) :args (@t397 @t400 (@list @t48 @t361 @t394 @t386 @t399))) % 34.38/34.71 (step @p569 :rule true_intro :premises (@p568)) % 34.38/34.71 (step @p570 :rule refl :args (@t185)) % 34.38/34.71 (step @p571 :rule refl :args (@t189)) % 34.38/34.71 (step @p572 :rule bool-impl-elim :args (@t17 @t401)) % 34.38/34.71 (step @p573 :rule cong :premises (@p572) :args ((forall @t9 (=> @t17 @t401)))) % 34.38/34.71 (step @p574 :rule eq-symm :args (@t57 @t2)) % 34.38/34.71 (step @p575 :rule cong :premises (@p177 @p574) :args (@t58)) % 34.38/34.71 (step @p576 :rule cong :premises (@p575) :args (@t59)) % 34.38/34.71 (step @p577 :rule trans :premises (@p576 @p573)) % 34.38/34.71 (step @p578 :rule eq_resolve :premises (@p28 @p577)) % 34.38/34.71 (step @p579 :rule instantiate :premises (@p578) :args (@t393)) % 34.38/34.71 (step @p580 :rule cnf_or_pos :args (@t403)) % 34.38/34.71 (step @p581 :rule reordering :premises (@p580) :args ((or @t362 @t402 (not @t403)))) % 34.38/34.71 (step @p582 :rule chain_m_resolution :premises (@p581 @p531 @p579) :args (@t402 @t381 (@list @t361 @t403))) % 34.38/34.71 (step @p583 :rule cong :premises (@p582 @p571) :args (@t387)) % 34.38/34.71 (step @p584 :rule bool-double-not-elim :args (@t388)) % 34.38/34.71 (step @p585 :rule nary_cong :premises (@p552 @p584) :args ((or @t391 (not @t389)))) % 34.38/34.71 (step @p586 :rule cnf_or_neg :args (@t391 1)) % 34.38/34.71 (step @p587 :rule eq_resolve :premises (@p586 @p585)) % 34.38/34.71 (step @p588 :rule reordering :premises (@p587) :args ((or @t388 @t391))) % 34.38/34.71 (step @p589 :rule chain_m_resolution :premises (@p588 @p550) :args (@t388 @t378 @t392)) % 34.38/34.71 (step @p590 :rule trans :premises (@p589 @p583)) % 34.38/34.71 (step @p591 :rule cong :premises (@p590 @p570) :args (@t404)) % 34.38/34.71 (step @p592 :rule bool-double-not-elim :args (@t365)) % 34.38/34.71 (step @p593 :rule nary_cong :premises (@p497 @p592) :args ((or @t370 (not @t366)))) % 34.38/34.71 (step @p594 :rule cnf_or_neg :args (@t370 3)) % 34.38/34.71 (step @p595 :rule eq_resolve :premises (@p594 @p593)) % 34.38/34.71 (step @p596 :rule reordering :premises (@p595) :args ((or @t365 @t370))) % 34.38/34.71 (step @p597 :rule chain_m_resolution :premises (@p596 @p495) :args (@t365 @t378 @t379)) % 34.38/34.71 (step @p598 :rule instantiate :premises (@p597) :args (@t393)) % 34.38/34.71 (step @p599 :rule instantiate :premises (@p181) :args ((@list @t185 @t185 tptp.nil @t406))) % 34.38/34.71 (step @p600 :rule instantiate :premises (@p216) :args ((@list @t220 @t185))) % 34.38/34.71 (step @p601 :rule cnf_or_pos :args (@t409)) % 34.38/34.71 (step @p602 :rule reordering :premises (@p601) :args ((or @t226 @t362 @t408 (not @t409)))) % 34.38/34.71 (step @p603 :rule chain_m_resolution :premises (@p602 @p502 @p531 @p600) :args (@t408 @t380 (@list @t225 @t361 @t409))) % 34.38/34.71 (step @p604 :rule bool-double-not-elim :args (@t357)) % 34.38/34.71 (step @p605 :rule nary_cong :premises (@p479 @p604) :args ((or @t363 (not @t358)))) % 34.38/34.71 (step @p606 :rule cnf_or_neg :args (@t363 2)) % 34.38/34.71 (step @p607 :rule eq_resolve :premises (@p606 @p605)) % 34.38/34.71 (step @p608 :rule reordering :premises (@p607) :args ((or @t357 @t363))) % 34.38/34.71 (step @p609 :rule chain_m_resolution :premises (@p608 @p525) :args (@t357 @t378 @t382)) % 34.38/34.71 (step @p610 :rule cnf_equiv_pos1 :args (@t408)) % 34.38/34.71 (step @p611 :rule reordering :premises (@p610) :args ((or @t358 @t407 (not @t408)))) % 34.38/34.71 (step @p612 :rule chain_m_resolution :premises (@p611 @p609 @p603) :args (@t407 @t381 (@list @t357 @t408))) % 34.38/34.71 (step @p613 :rule skolemize :premises (@p612)) % 34.38/34.71 (step @p614 :rule bool-double-not-elim :args (@t410)) % 34.38/34.71 (step @p615 :rule refl :args (@t415)) % 34.38/34.71 (step @p616 :rule nary_cong :premises (@p615 @p614) :args ((or @t415 (not @t414)))) % 34.38/34.71 (step @p617 :rule cnf_or_neg :args (@t415 0)) % 34.38/34.71 (step @p618 :rule eq_resolve :premises (@p617 @p616)) % 34.38/34.71 (step @p619 :rule reordering :premises (@p618) :args ((or @t410 @t415))) % 34.38/34.71 (step @p620 :rule chain_m_resolution :premises (@p619 @p613) :args (@t410 @t378 @t416)) % 34.38/34.71 (step @p621 :rule cnf_or_pos :args (@t418)) % 34.38/34.71 (step @p622 :rule factoring :premises (@p621)) % 34.38/34.71 (step @p623 :rule reordering :premises (@p622) :args ((or @t224 @t362 @t398 @t414 @t417 (not @t418)))) % 34.38/34.71 (step @p624 :rule chain_m_resolution :premises (@p623 @p17 @p531 @p564 @p620 @p599) :args (@t417 @t400 (@list @t48 @t361 @t394 @t410 @t418))) % 34.38/34.71 (step @p625 :rule true_intro :premises (@p624)) % 34.38/34.71 (step @p626 :rule refl :args (@t406)) % 34.38/34.71 (step @p627 :rule cong :premises (@p582 @p626) :args (@t411)) % 34.38/34.71 (step @p628 :rule bool-double-not-elim :args (@t412)) % 34.38/34.71 (step @p629 :rule nary_cong :premises (@p615 @p628) :args ((or @t415 (not @t413)))) % 34.38/34.71 (step @p630 :rule cnf_or_neg :args (@t415 1)) % 34.38/34.71 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 34.38/34.71 (step @p632 :rule reordering :premises (@p631) :args ((or @t412 @t415))) % 34.38/34.71 (step @p633 :rule chain_m_resolution :premises (@p632 @p613) :args (@t412 @t378 @t416)) % 34.38/34.71 (step @p634 :rule trans :premises (@p633 @p627)) % 34.38/34.71 (step @p635 :rule cong :premises (@p634 @p570) :args (@t419)) % 34.38/34.71 (step @p636 :rule trans :premises (@p635 @p625)) % 34.38/34.71 (step @p637 :rule true_elim :premises (@p636)) % 34.38/34.71 (step @p638 :rule bool-double-not-elim :args (@t359)) % 34.38/34.71 (step @p639 :rule nary_cong :premises (@p479 @p638) :args ((or @t363 (not @t360)))) % 34.38/34.71 (step @p640 :rule cnf_or_neg :args (@t363 1)) % 34.38/34.71 (step @p641 :rule eq_resolve :premises (@p640 @p639)) % 34.38/34.71 (step @p642 :rule reordering :premises (@p641) :args ((or @t359 @t363))) % 34.38/34.71 (step @p643 :rule chain_m_resolution :premises (@p642 @p525) :args (@t359 @t378 @t382)) % 34.38/34.71 (step @p644 :rule cnf_or_pos :args (@t422)) % 34.38/34.71 (step @p645 :rule reordering :premises (@p644) :args ((or @t362 @t360 @t421 @t420 (not @t422)))) % 34.38/34.71 (step @p646 :rule chain_m_resolution :premises (@p645 @p531 @p643 @p637 @p598) :args (@t420 (@list false false false false) (@list @t361 @t359 @t419 @t422))) % 34.38/34.71 (step @p647 :rule false_intro :premises (@p646)) % 34.38/34.71 (step @p648 :rule symm :premises (@p647)) % 34.38/34.71 (step @p649 :rule trans :premises (@p648 @p591 @p569)) % 34.38/34.71 (step @p650 false :rule eq_resolve :premises (@p649 @p98)) % 34.38/34.71 ) % 34.38/34.71 % SZS output end Proof % 34.38/34.71 % cvc5 exiting %------------------------------------------------------------------------------