%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC087+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:57:59 AM UTC 2026 % Result : Theorem 114.33s 114.62s % Output : Proof 114.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC087+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 19:14:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 114.33/114.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.33/114.62 --- Run --no-e-matching --full-saturate-quant at 6... % 114.33/114.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.33/114.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.33/114.62 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.33/114.62 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.33/114.62 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.33/114.62 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.33/114.62 % SZS status Theorem % 114.33/114.62 % SZS output start Proof % 114.33/114.62 ( % 114.33/114.62 (declare-sort $$unsorted 0) % 114.33/114.62 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 114.33/114.62 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 114.33/114.62 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 114.33/114.62 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 114.33/114.62 (declare-const tptp.nil $$unsorted) % 114.33/114.62 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.ssList (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 114.33/114.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 114.33/114.62 (define @t1 () (@var "V" $$unsorted)) % 114.33/114.62 (define @t2 () (@var "U" $$unsorted)) % 114.33/114.62 (define @t3 () (= @t2 @t1)) % 114.33/114.62 (define @t4 () (not @t3)) % 114.33/114.62 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 114.33/114.62 (define @t6 () (tptp.ssItem @t1)) % 114.33/114.62 (define @t7 () (@list @t1)) % 114.33/114.62 (define @t8 () (tptp.ssItem @t2)) % 114.33/114.62 (define @t9 () (@list @t2)) % 114.33/114.62 (define @t10 () (@var "X" $$unsorted)) % 114.33/114.62 (define @t11 () (tptp.cons @t1 @t10)) % 114.33/114.62 (define @t12 () (@var "W" $$unsorted)) % 114.33/114.62 (define @t13 () (tptp.ssList @t10)) % 114.33/114.62 (define @t14 () (@list @t10)) % 114.33/114.62 (define @t15 () (tptp.ssList @t12)) % 114.33/114.62 (define @t16 () (@list @t12)) % 114.33/114.62 (define @t17 () (tptp.ssList @t2)) % 114.33/114.62 (define @t18 () (tptp.cons @t1 tptp.nil)) % 114.33/114.62 (define @t19 () (tptp.app @t1 @t12)) % 114.33/114.62 (define @t20 () (tptp.frontsegP @t2 @t1)) % 114.33/114.62 (define @t21 () (tptp.ssList @t1)) % 114.33/114.62 (define @t22 () (tptp.app @t12 @t1)) % 114.33/114.62 (define @t23 () (tptp.rearsegP @t2 @t1)) % 114.33/114.62 (define @t24 () (tptp.segmentP @t2 @t1)) % 114.33/114.62 (define @t25 () (tptp.leq @t12 @t1)) % 114.33/114.62 (define @t26 () (tptp.leq @t1 @t12)) % 114.33/114.62 (define @t27 () (@var "Z" $$unsorted)) % 114.33/114.62 (define @t28 () (@var "Y" $$unsorted)) % 114.33/114.62 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 114.33/114.62 (define @t30 () (tptp.ssList @t27)) % 114.33/114.62 (define @t31 () (@list @t27)) % 114.33/114.62 (define @t32 () (tptp.ssList @t28)) % 114.33/114.62 (define @t33 () (@list @t28)) % 114.33/114.62 (define @t34 () (tptp.ssItem @t12)) % 114.33/114.62 (define @t35 () (tptp.lt @t1 @t12)) % 114.33/114.62 (define @t36 () (= @t1 @t12)) % 114.33/114.62 (define @t37 () (forall @t7 (=> @t21 @t5))) % 114.33/114.62 (define @t38 () (=> @t17 @t37)) % 114.33/114.62 (define @t39 () (forall @t9 @t38)) % 114.33/114.62 (define @t40 () (tptp.cons @t1 @t2)) % 114.33/114.62 (define @t41 () (tptp.ssList @t40)) % 114.33/114.62 (define @t42 () (forall @t7 (=> @t6 @t41))) % 114.33/114.62 (define @t43 () (=> @t17 @t42)) % 114.33/114.62 (define @t44 () (forall @t9 @t43)) % 114.33/114.62 (define @t45 () (tptp.ssList tptp.nil)) % 114.33/114.62 (define @t46 () (= @t1 @t2)) % 114.33/114.62 (define @t47 () (tptp.cons @t12 @t1)) % 114.33/114.62 (define @t48 () (= tptp.nil @t2)) % 114.33/114.62 (define @t49 () (tptp.hd @t2)) % 114.33/114.62 (define @t50 () (tptp.ssItem @t49)) % 114.33/114.62 (define @t51 () (not @t48)) % 114.33/114.62 (define @t52 () (=> @t51 @t50)) % 114.33/114.62 (define @t53 () (=> @t17 @t52)) % 114.33/114.62 (define @t54 () (forall @t9 @t53)) % 114.33/114.62 (define @t55 () (tptp.tl @t2)) % 114.33/114.62 (define @t56 () (tptp.ssList @t55)) % 114.33/114.62 (define @t57 () (=> @t51 @t56)) % 114.33/114.62 (define @t58 () (=> @t17 @t57)) % 114.33/114.62 (define @t59 () (forall @t9 @t58)) % 114.33/114.62 (define @t60 () (tptp.app @t2 @t1)) % 114.33/114.62 (define @t61 () (tptp.ssList @t60)) % 114.33/114.62 (define @t62 () (forall @t7 (=> @t21 @t61))) % 114.33/114.62 (define @t63 () (=> @t17 @t62)) % 114.33/114.62 (define @t64 () (forall @t9 @t63)) % 114.33/114.62 (define @t65 () (tptp.app @t1 @t2)) % 114.33/114.62 (define @t66 () (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))) % 114.33/114.62 (define @t67 () (forall @t16 (=> @t34 @t66))) % 114.33/114.62 (define @t68 () (=> @t21 @t67)) % 114.33/114.62 (define @t69 () (forall @t7 @t68)) % 114.33/114.62 (define @t70 () (=> @t17 @t69)) % 114.33/114.62 (define @t71 () (forall @t9 @t70)) % 114.33/114.62 (define @t72 () (tptp.app tptp.nil @t2)) % 114.33/114.62 (define @t73 () (=> @t17 (= @t72 @t2))) % 114.33/114.62 (define @t74 () (forall @t9 @t73)) % 114.33/114.62 (define @t75 () (tptp.leq @t1 @t2)) % 114.33/114.62 (define @t76 () (tptp.leq @t2 @t1)) % 114.33/114.62 (define @t77 () (tptp.geq @t2 @t1)) % 114.33/114.62 (define @t78 () (tptp.lt @t1 @t2)) % 114.33/114.62 (define @t79 () (tptp.lt @t2 @t1)) % 114.33/114.62 (define @t80 () (tptp.lt @t2 @t12)) % 114.33/114.62 (define @t81 () (tptp.gt @t2 @t1)) % 114.33/114.62 (define @t82 () (tptp.memberP @t12 @t2)) % 114.33/114.62 (define @t83 () (tptp.app @t12 @t2)) % 114.33/114.62 (define @t84 () (tptp.segmentP @t2 @t2)) % 114.33/114.62 (define @t85 () (forall @t9 (=> @t17 @t84))) % 114.33/114.62 (define @t86 () (tptp.segmentP (tptp.app @t83 @t10) @t1)) % 114.33/114.62 (define @t87 () (=> @t24 @t86)) % 114.33/114.62 (define @t88 () (forall @t14 (=> @t13 @t87))) % 114.33/114.62 (define @t89 () (=> @t15 @t88)) % 114.33/114.62 (define @t90 () (forall @t16 @t89)) % 114.33/114.62 (define @t91 () (=> @t21 @t90)) % 114.33/114.62 (define @t92 () (forall @t7 @t91)) % 114.33/114.62 (define @t93 () (=> @t17 @t92)) % 114.33/114.62 (define @t94 () (forall @t9 @t93)) % 114.33/114.62 (define @t95 () (tptp.cons @t2 tptp.nil)) % 114.33/114.62 (define @t96 () (tptp.hd @t1)) % 114.33/114.62 (define @t97 () (= tptp.nil @t1)) % 114.33/114.62 (define @t98 () (not @t97)) % 114.33/114.62 (define @t99 () (tptp.cons @t2 @t1)) % 114.33/114.62 (define @t100 () (tptp.tl @t1)) % 114.33/114.62 (define @t101 () (tptp.cons @t49 @t55)) % 114.33/114.62 (define @t102 () (=> @t51 (= @t101 @t2))) % 114.33/114.62 (define @t103 () (=> @t17 @t102)) % 114.33/114.62 (define @t104 () (forall @t9 @t103)) % 114.33/114.62 (define @t105 () (= @t12 @t2)) % 114.33/114.62 (define @t106 () (tptp.app @t2 tptp.nil)) % 114.33/114.62 (define @t107 () (=> @t17 (= @t106 @t2))) % 114.33/114.62 (define @t108 () (forall @t9 @t107)) % 114.33/114.62 (define @t109 () (tptp.neq @t1 tptp.nil)) % 114.33/114.62 (define @t110 () (not @t109)) % 114.33/114.62 (define @t111 () (or @t110 (tptp.neq @t10 tptp.nil))) % 114.33/114.62 (define @t112 () (tptp.neq tptp.nil @t10)) % 114.33/114.62 (define @t113 () (@var "X3" $$unsorted)) % 114.33/114.62 (define @t114 () (tptp.hd @t10)) % 114.33/114.62 (define @t115 () (@var "X2" $$unsorted)) % 114.33/114.62 (define @t116 () (tptp.cons @t113 tptp.nil)) % 114.33/114.62 (define @t117 () (tptp.ssItem @t113)) % 114.33/114.62 (define @t118 () (and @t117 (= @t116 @t115) (= @t114 @t113) @t112)) % 114.33/114.62 (define @t119 () (@list @t113)) % 114.33/114.62 (define @t120 () (exists @t119 @t118)) % 114.33/114.62 (define @t121 () (@var "X1" $$unsorted)) % 114.33/114.62 (define @t122 () (tptp.app @t121 @t115)) % 114.33/114.62 (define @t123 () (tptp.tl @t10)) % 114.33/114.62 (define @t124 () (tptp.ssList @t115)) % 114.33/114.62 (define @t125 () (and @t124 (= @t123 @t121) (= @t122 @t27) @t120 @t112)) % 114.33/114.62 (define @t126 () (@list @t115)) % 114.33/114.62 (define @t127 () (exists @t126 @t125)) % 114.33/114.62 (define @t128 () (tptp.ssList @t121)) % 114.33/114.62 (define @t129 () (and @t128 @t127)) % 114.33/114.62 (define @t130 () (@list @t121)) % 114.33/114.62 (define @t131 () (exists @t130 @t129)) % 114.33/114.62 (define @t132 () (= @t12 @t27)) % 114.33/114.62 (define @t133 () (not @t132)) % 114.33/114.62 (define @t134 () (and @t30 @t133 @t131)) % 114.33/114.62 (define @t135 () (exists @t31 @t134)) % 114.33/114.62 (define @t136 () (tptp.segmentP @t2 @t28)) % 114.33/114.62 (define @t137 () (tptp.segmentP @t1 @t28)) % 114.33/114.62 (define @t138 () (tptp.neq @t28 tptp.nil)) % 114.33/114.62 (define @t139 () (and @t32 @t138 @t137 @t136)) % 114.33/114.62 (define @t140 () (exists @t33 @t139)) % 114.33/114.62 (define @t141 () (or @t110 @t140 @t135)) % 114.33/114.62 (define @t142 () (and @t141 @t111)) % 114.33/114.62 (define @t143 () (not (= @t2 @t12))) % 114.33/114.62 (define @t144 () (not (= @t1 @t10))) % 114.33/114.62 (define @t145 () (or @t144 @t143 @t142)) % 114.33/114.62 (define @t146 () (=> @t13 @t145)) % 114.33/114.62 (define @t147 () (forall @t14 @t146)) % 114.33/114.62 (define @t148 () (=> @t15 @t147)) % 114.33/114.62 (define @t149 () (forall @t16 @t148)) % 114.33/114.62 (define @t150 () (=> @t21 @t149)) % 114.33/114.62 (define @t151 () (forall @t7 @t150)) % 114.33/114.62 (define @t152 () (=> @t17 @t151)) % 114.33/114.62 (define @t153 () (forall @t9 @t152)) % 114.33/114.62 (define @t154 () (not @t153)) % 114.33/114.62 (define @t155 () (= @t2 tptp.nil)) % 114.33/114.62 (define @t156 () (not @t17)) % 114.33/114.62 (define @t157 () (or @t156 @t155 @t56)) % 114.33/114.62 (define @t158 () (not @t155)) % 114.33/114.62 (define @t159 () (not @t158)) % 114.33/114.62 (define @t160 () (=> @t158 @t56)) % 114.33/114.62 (define @t161 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 114.33/114.62 (define @t162 () (tptp.hd @t161)) % 114.33/114.62 (define @t163 () (tptp.cons @t162 tptp.nil)) % 114.33/114.62 (define @t164 () (tptp.tl @t161)) % 114.33/114.62 (define @t165 () (tptp.app @t164 @t163)) % 114.33/114.62 (define @t166 () (and (tptp.neq tptp.nil @t161) (tptp.ssItem @t162) (tptp.ssList @t163) (tptp.ssList @t164) (tptp.ssList @t165) (not (= @t2 @t165)))) % 114.33/114.62 (define @t167 () (not @t136)) % 114.33/114.62 (define @t168 () (not @t138)) % 114.33/114.62 (define @t169 () (not @t32)) % 114.33/114.62 (define @t170 () (not (forall @t33 (or @t169 @t168 (not (tptp.segmentP @t161 @t28)) @t167)))) % 114.33/114.62 (define @t171 () (not (tptp.neq @t161 tptp.nil))) % 114.33/114.62 (define @t172 () (not (tptp.ssList @t161))) % 114.33/114.62 (define @t173 () (or @t156 @t172 @t171 @t170 @t166)) % 114.33/114.62 (define @t174 () (@list @t2 @t161)) % 114.33/114.62 (define @t175 () (forall @t174 @t173)) % 114.33/114.62 (define @t176 () (@quantifiers_skolemize @t175 1)) % 114.33/114.62 (define @t177 () (tptp.tl @t176)) % 114.33/114.62 (define @t178 () (tptp.ssList @t177)) % 114.33/114.62 (define @t179 () (tptp.ssList @t176)) % 114.33/114.62 (define @t180 () (not @t179)) % 114.33/114.62 (define @t181 () (= @t176 tptp.nil)) % 114.33/114.62 (define @t182 () (or @t180 @t181 @t178)) % 114.33/114.62 (define @t183 () (forall @t9 @t157)) % 114.33/114.62 (define @t184 () (@list @t176)) % 114.33/114.62 (define @t185 () (= tptp.nil @t176)) % 114.33/114.62 (define @t186 () (or @t180 @t185 @t178)) % 114.33/114.62 (define @t187 () (@list false)) % 114.33/114.62 (define @t188 () (@var "BOUND_VARIABLE_9126" $$unsorted)) % 114.33/114.62 (define @t189 () (= (tptp.neq @t2 @t188) (not (= @t2 @t188)))) % 114.33/114.62 (define @t190 () (not (tptp.ssList @t188))) % 114.33/114.62 (define @t191 () (or @t156 @t190 @t189)) % 114.33/114.62 (define @t192 () (or @t190 @t189)) % 114.33/114.62 (define @t193 () (or @t156 @t192)) % 114.33/114.62 (define @t194 () (@list @t2 @t188)) % 114.33/114.62 (define @t195 () (forall @t194 @t193)) % 114.33/114.62 (define @t196 () (@list @t188)) % 114.33/114.62 (define @t197 () (forall @t196 @t193)) % 114.33/114.62 (define @t198 () (forall @t196 @t192)) % 114.33/114.62 (define @t199 () (@list @t1)) % 114.33/114.62 (define @t200 () (or @t156 @t198)) % 114.33/114.62 (define @t201 () (not @t21)) % 114.33/114.62 (define @t202 () (forall @t7 (or @t201 @t5))) % 114.33/114.62 (define @t203 () (not @t181)) % 114.33/114.62 (define @t204 () (tptp.neq @t176 tptp.nil)) % 114.33/114.62 (define @t205 () (= @t204 @t203)) % 114.33/114.62 (define @t206 () (not @t45)) % 114.33/114.62 (define @t207 () (or @t180 @t206 @t205)) % 114.33/114.62 (define @t208 () (forall @t194 @t191)) % 114.33/114.62 (define @t209 () (not @t185)) % 114.33/114.62 (define @t210 () (= @t204 @t209)) % 114.33/114.62 (define @t211 () (or @t180 @t206 @t210)) % 114.33/114.62 (define @t212 () (@list @t208)) % 114.33/114.62 (define @t213 () (or @t172 @t171 @t170 @t166)) % 114.33/114.62 (define @t214 () (or @t156 @t213)) % 114.33/114.62 (define @t215 () (forall @t174 @t214)) % 114.33/114.62 (define @t216 () (@list @t161)) % 114.33/114.62 (define @t217 () (forall @t216 @t214)) % 114.33/114.62 (define @t218 () (forall @t216 @t213)) % 114.33/114.62 (define @t219 () (or @t156 @t218)) % 114.33/114.62 (define @t220 () (tptp.cons @t96 tptp.nil)) % 114.33/114.62 (define @t221 () (tptp.app @t100 @t220)) % 114.33/114.62 (define @t222 () (tptp.ssList @t221)) % 114.33/114.62 (define @t223 () (tptp.ssList @t100)) % 114.33/114.62 (define @t224 () (tptp.ssList @t220)) % 114.33/114.62 (define @t225 () (tptp.ssItem @t96)) % 114.33/114.62 (define @t226 () (tptp.neq tptp.nil @t1)) % 114.33/114.62 (define @t227 () (and @t226 @t225 @t224 @t223 @t222 (not (= @t2 @t221)))) % 114.33/114.62 (define @t228 () (not @t137)) % 114.33/114.62 (define @t229 () (or @t169 @t168 @t228 @t167)) % 114.33/114.62 (define @t230 () (not (forall @t33 @t229))) % 114.33/114.62 (define @t231 () (or @t201 @t110 @t230 @t227)) % 114.33/114.62 (define @t232 () (or @t156 (forall @t7 @t231))) % 114.33/114.62 (define @t233 () (or @t156 @t231)) % 114.33/114.62 (define @t234 () (or @t201 @t110 @t230 @t156 @t227)) % 114.33/114.62 (define @t235 () (or @t156 @t227)) % 114.33/114.62 (define @t236 () (not (= @t2 @t2))) % 114.33/114.62 (define @t237 () (or @t156 @t236 @t227)) % 114.33/114.62 (define @t238 () (and @t226 @t225 @t224 @t223 @t222 (not (= @t12 @t221)))) % 114.33/114.62 (define @t239 () (not @t15)) % 114.33/114.62 (define @t240 () (or @t143 @t239 @t143 @t238)) % 114.33/114.62 (define @t241 () (or @t239 @t143 @t238)) % 114.33/114.62 (define @t242 () (forall @t16 @t241)) % 114.33/114.62 (define @t243 () (or @t201 @t110 @t230 @t242)) % 114.33/114.62 (define @t244 () (or @t201 @t110 @t230 @t241)) % 114.33/114.62 (define @t245 () (or @t239 @t143 @t201 @t110 @t230 @t238)) % 114.33/114.62 (define @t246 () (or @t110 @t230 @t238)) % 114.33/114.62 (define @t247 () (and @t246 true)) % 114.33/114.62 (define @t248 () (or @t239 @t143 @t201 @t247)) % 114.33/114.62 (define @t249 () (and @t246 (or @t110 @t109))) % 114.33/114.62 (define @t250 () (or @t143 @t201 @t249)) % 114.33/114.62 (define @t251 () (or @t201 @t249)) % 114.33/114.62 (define @t252 () (not (= @t1 @t1))) % 114.33/114.62 (define @t253 () (or @t201 @t252 @t249)) % 114.33/114.62 (define @t254 () (tptp.cons @t114 tptp.nil)) % 114.33/114.62 (define @t255 () (tptp.app @t123 @t254)) % 114.33/114.62 (define @t256 () (= @t12 @t255)) % 114.33/114.62 (define @t257 () (not @t256)) % 114.33/114.62 (define @t258 () (tptp.ssList @t255)) % 114.33/114.62 (define @t259 () (tptp.ssList @t123)) % 114.33/114.62 (define @t260 () (tptp.ssList @t254)) % 114.33/114.62 (define @t261 () (tptp.ssItem @t114)) % 114.33/114.62 (define @t262 () (and (or @t110 @t230 (and @t112 @t261 @t260 @t259 @t258 @t257)) @t111)) % 114.33/114.62 (define @t263 () (not @t13)) % 114.33/114.62 (define @t264 () (or @t144 @t263 @t144 @t262)) % 114.33/114.62 (define @t265 () (or @t263 @t144 @t262)) % 114.33/114.62 (define @t266 () (forall @t14 @t265)) % 114.33/114.62 (define @t267 () (or @t143 @t266)) % 114.33/114.62 (define @t268 () (or @t143 @t265)) % 114.33/114.62 (define @t269 () (or @t263 @t144 @t143 @t262)) % 114.33/114.62 (define @t270 () (not @t258)) % 114.33/114.62 (define @t271 () (not @t270)) % 114.33/114.62 (define @t272 () (not @t259)) % 114.33/114.62 (define @t273 () (not @t272)) % 114.33/114.62 (define @t274 () (not @t260)) % 114.33/114.62 (define @t275 () (not @t274)) % 114.33/114.62 (define @t276 () (not @t261)) % 114.33/114.62 (define @t277 () (not @t276)) % 114.33/114.62 (define @t278 () (not @t112)) % 114.33/114.62 (define @t279 () (not @t278)) % 114.33/114.62 (define @t280 () (and @t279 @t277 @t275 @t273 @t271 @t257)) % 114.33/114.62 (define @t281 () (or @t270 @t256)) % 114.33/114.62 (define @t282 () (or @t278 @t276 @t274 @t272 @t270 @t256)) % 114.33/114.62 (define @t283 () (or @t110 @t230 (not @t282))) % 114.33/114.62 (define @t284 () (and @t283 @t111)) % 114.33/114.62 (define @t285 () (or @t144 @t143 @t284)) % 114.33/114.62 (define @t286 () (not (= @t255 @t255))) % 114.33/114.62 (define @t287 () (or @t270 @t256 @t286)) % 114.33/114.62 (define @t288 () (not (= @t27 @t255))) % 114.33/114.62 (define @t289 () (not @t30)) % 114.33/114.62 (define @t290 () (or @t288 @t289 @t132 @t288)) % 114.33/114.62 (define @t291 () (or @t289 @t132 @t288)) % 114.33/114.62 (define @t292 () (forall @t31 @t291)) % 114.33/114.62 (define @t293 () (or @t278 @t276 @t274 @t272 @t292)) % 114.33/114.62 (define @t294 () (or @t278 @t276 @t274 @t272 @t291)) % 114.33/114.62 (define @t295 () (or @t289 @t132 @t278 @t276 @t274 @t272 @t288)) % 114.33/114.62 (define @t296 () (or @t278 @t276 @t274 @t272 @t288)) % 114.33/114.62 (define @t297 () (not @t296)) % 114.33/114.62 (define @t298 () (not @t297)) % 114.33/114.62 (define @t299 () (not @t133)) % 114.33/114.62 (define @t300 () (or @t289 @t299 @t298)) % 114.33/114.62 (define @t301 () (and @t30 @t133 @t297)) % 114.33/114.62 (define @t302 () (forall @t31 (not @t301))) % 114.33/114.62 (define @t303 () (not @t302)) % 114.33/114.62 (define @t304 () (or @t272 @t288)) % 114.33/114.62 (define @t305 () (not (= @t123 @t123))) % 114.33/114.62 (define @t306 () (or @t272 @t305 @t288)) % 114.33/114.62 (define @t307 () (not (= @t27 (tptp.app @t121 @t254)))) % 114.33/114.62 (define @t308 () (= @t121 @t123)) % 114.33/114.62 (define @t309 () (not @t308)) % 114.33/114.62 (define @t310 () (not @t128)) % 114.33/114.62 (define @t311 () (or @t309 @t310 @t309 @t307)) % 114.33/114.62 (define @t312 () (or @t310 @t309 @t307)) % 114.33/114.62 (define @t313 () (forall @t130 @t312)) % 114.33/114.62 (define @t314 () (or @t278 @t276 @t274 @t313)) % 114.33/114.62 (define @t315 () (or @t278 @t276 @t274 @t312)) % 114.33/114.62 (define @t316 () (or @t310 @t309 @t278 @t276 @t274 @t307)) % 114.33/114.62 (define @t317 () (or @t309 @t278 @t276 @t274 @t307)) % 114.33/114.62 (define @t318 () (not @t317)) % 114.33/114.62 (define @t319 () (and @t128 @t318)) % 114.33/114.62 (define @t320 () (forall @t130 (not @t319))) % 114.33/114.62 (define @t321 () (not @t320)) % 114.33/114.62 (define @t322 () (or @t274 @t307)) % 114.33/114.62 (define @t323 () (not (= @t254 @t254))) % 114.33/114.62 (define @t324 () (or @t274 @t307 @t323)) % 114.33/114.62 (define @t325 () (not (= @t115 @t254))) % 114.33/114.62 (define @t326 () (= @t27 @t122)) % 114.33/114.62 (define @t327 () (not @t326)) % 114.33/114.62 (define @t328 () (not @t124)) % 114.33/114.62 (define @t329 () (or @t325 @t328 @t327 @t325)) % 114.33/114.62 (define @t330 () (or @t328 @t327 @t325)) % 114.33/114.62 (define @t331 () (forall @t126 @t330)) % 114.33/114.62 (define @t332 () (or @t309 @t278 @t276 @t331)) % 114.33/114.62 (define @t333 () (or @t309 @t278 @t276 @t330)) % 114.33/114.62 (define @t334 () (or @t328 @t309 @t327 @t278 @t276 @t325)) % 114.33/114.62 (define @t335 () (or @t278 @t276 @t325)) % 114.33/114.62 (define @t336 () (not @t335)) % 114.33/114.62 (define @t337 () (not @t336)) % 114.33/114.62 (define @t338 () (or @t328 @t309 @t327 @t337 @t278)) % 114.33/114.62 (define @t339 () (and @t124 @t308 @t326 @t336 @t112)) % 114.33/114.62 (define @t340 () (forall @t126 (not @t339))) % 114.33/114.63 (define @t341 () (not @t340)) % 114.33/114.63 (define @t342 () (or @t276 @t325)) % 114.33/114.63 (define @t343 () (not (= @t114 @t114))) % 114.33/114.63 (define @t344 () (or @t276 @t325 @t343)) % 114.33/114.63 (define @t345 () (= @t113 @t114)) % 114.33/114.63 (define @t346 () (not @t345)) % 114.33/114.63 (define @t347 () (= @t115 @t116)) % 114.33/114.63 (define @t348 () (not @t347)) % 114.33/114.63 (define @t349 () (not @t117)) % 114.33/114.63 (define @t350 () (or @t346 @t349 @t348 @t346)) % 114.33/114.63 (define @t351 () (or @t349 @t348 @t346)) % 114.33/114.63 (define @t352 () (forall @t119 @t351)) % 114.33/114.63 (define @t353 () (or @t278 @t352)) % 114.33/114.63 (define @t354 () (or @t278 @t351)) % 114.33/114.63 (define @t355 () (or @t349 @t348 @t346 @t278)) % 114.33/114.63 (define @t356 () (and @t117 @t347 @t345 @t112)) % 114.33/114.63 (define @t357 () (forall @t119 (not @t356))) % 114.33/114.63 (define @t358 () (not @t357)) % 114.33/114.63 (define @t359 () (forall @t33 (not @t139))) % 114.33/114.63 (define @t360 () (not @t359)) % 114.33/114.63 (define @t361 () (tptp.hd @t176)) % 114.33/114.63 (define @t362 () (tptp.cons @t361 tptp.nil)) % 114.33/114.63 (define @t363 () (tptp.app @t177 @t362)) % 114.33/114.63 (define @t364 () (@quantifiers_skolemize @t175 0)) % 114.33/114.63 (define @t365 () (= @t364 @t363)) % 114.33/114.63 (define @t366 () (not @t365)) % 114.33/114.63 (define @t367 () (tptp.ssList @t363)) % 114.33/114.63 (define @t368 () (tptp.ssList @t362)) % 114.33/114.63 (define @t369 () (tptp.ssItem @t361)) % 114.33/114.63 (define @t370 () (tptp.neq tptp.nil @t176)) % 114.33/114.63 (define @t371 () (and @t370 @t369 @t368 @t178 @t367 @t366)) % 114.33/114.63 (define @t372 () (forall @t33 (or @t169 @t168 (not (tptp.segmentP @t176 @t28)) (not (tptp.segmentP @t364 @t28))))) % 114.33/114.63 (define @t373 () (not @t372)) % 114.33/114.63 (define @t374 () (not @t204)) % 114.33/114.63 (define @t375 () (tptp.ssList @t364)) % 114.33/114.63 (define @t376 () (not @t375)) % 114.33/114.63 (define @t377 () (or @t376 @t180 @t374 @t373 @t371)) % 114.33/114.63 (define @t378 () (@list true)) % 114.33/114.63 (define @t379 () (@list @t377)) % 114.33/114.63 (define @t380 () (@list false false false)) % 114.33/114.63 (define @t381 () (@list false false)) % 114.33/114.63 (define @t382 () (@list false true false)) % 114.33/114.63 (define @t383 () (@list @t177)) % 114.33/114.63 (define @t384 () (@var "BOUND_VARIABLE_10225" $$unsorted)) % 114.33/114.63 (define @t385 () (@var "BOUND_VARIABLE_10229" $$unsorted)) % 114.33/114.63 (define @t386 () (@var "BOUND_VARIABLE_10227" $$unsorted)) % 114.33/114.63 (define @t387 () (tptp.segmentP (tptp.app (tptp.app @t386 @t2) @t385) @t384)) % 114.33/114.63 (define @t388 () (not (tptp.ssList @t385))) % 114.33/114.63 (define @t389 () (not (tptp.ssList @t386))) % 114.33/114.63 (define @t390 () (not (tptp.segmentP @t2 @t384))) % 114.33/114.63 (define @t391 () (not (tptp.ssList @t384))) % 114.33/114.63 (define @t392 () (or @t391 @t390 @t389 @t388 @t387)) % 114.33/114.63 (define @t393 () (or @t156 @t392)) % 114.33/114.63 (define @t394 () (forall (@list @t2 @t384 @t386 @t385) @t393)) % 114.33/114.63 (define @t395 () (@list @t384 @t386 @t385)) % 114.33/114.63 (define @t396 () (forall @t395 @t393)) % 114.33/114.63 (define @t397 () (forall @t395 @t392)) % 114.33/114.63 (define @t398 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 114.33/114.63 (define @t399 () (@var "BOUND_VARIABLE_10204" $$unsorted)) % 114.33/114.63 (define @t400 () (or @t156 @t397)) % 114.33/114.63 (define @t401 () (tptp.segmentP (tptp.app (tptp.app @t399 @t2) @t398) @t1)) % 114.33/114.63 (define @t402 () (not (tptp.ssList @t398))) % 114.33/114.63 (define @t403 () (not (tptp.ssList @t399))) % 114.33/114.63 (define @t404 () (not @t24)) % 114.33/114.63 (define @t405 () (or @t201 @t404 @t403 @t402 @t401)) % 114.33/114.63 (define @t406 () (@list @t1 @t399 @t398)) % 114.33/114.63 (define @t407 () (forall @t406 @t405)) % 114.33/114.63 (define @t408 () (or @t403 @t402 @t401)) % 114.33/114.63 (define @t409 () (or @t201 @t404 @t408)) % 114.33/114.63 (define @t410 () (forall @t406 @t409)) % 114.33/114.63 (define @t411 () (@list @t399 @t398)) % 114.33/114.63 (define @t412 () (forall @t411 @t409)) % 114.33/114.63 (define @t413 () (forall @t411 @t408)) % 114.33/114.63 (define @t414 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 114.33/114.63 (define @t415 () (or @t201 @t404 @t413)) % 114.33/114.63 (define @t416 () (tptp.segmentP (tptp.app @t83 @t414) @t1)) % 114.33/114.63 (define @t417 () (not (tptp.ssList @t414))) % 114.33/114.63 (define @t418 () (or @t239 @t417 @t416)) % 114.33/114.63 (define @t419 () (@list @t12 @t414)) % 114.33/114.63 (define @t420 () (forall @t419 @t418)) % 114.33/114.63 (define @t421 () (or @t201 @t404 @t420)) % 114.33/114.63 (define @t422 () (or @t404 @t420)) % 114.33/114.63 (define @t423 () (or @t417 @t416)) % 114.33/114.63 (define @t424 () (or @t239 @t423)) % 114.33/114.63 (define @t425 () (forall @t419 @t424)) % 114.33/114.63 (define @t426 () (@list @t414)) % 114.33/114.63 (define @t427 () (forall @t426 @t424)) % 114.33/114.63 (define @t428 () (forall @t426 @t423)) % 114.33/114.63 (define @t429 () (or @t239 @t428)) % 114.33/114.63 (define @t430 () (or @t263 @t86)) % 114.33/114.63 (define @t431 () (forall @t14 @t430)) % 114.33/114.63 (define @t432 () (or @t239 @t431)) % 114.33/114.63 (define @t433 () (forall @t16 @t432)) % 114.33/114.63 (define @t434 () (or @t404 @t433)) % 114.33/114.63 (define @t435 () (or @t404 @t432)) % 114.33/114.63 (define @t436 () (or @t239 @t404 @t431)) % 114.33/114.63 (define @t437 () (or @t404 @t431)) % 114.33/114.63 (define @t438 () (or @t404 @t430)) % 114.33/114.63 (define @t439 () (or @t263 @t404 @t86)) % 114.33/114.63 (define @t440 () (tptp.segmentP @t177 @t177)) % 114.33/114.63 (define @t441 () (not @t178)) % 114.33/114.63 (define @t442 () (or @t441 @t440)) % 114.33/114.63 (define @t443 () (@var "BOUND_VARIABLE_9147" $$unsorted)) % 114.33/114.63 (define @t444 () (tptp.ssList (tptp.cons @t443 @t2))) % 114.33/114.63 (define @t445 () (not (tptp.ssItem @t443))) % 114.33/114.63 (define @t446 () (or @t445 @t444)) % 114.33/114.63 (define @t447 () (or @t156 @t446)) % 114.33/114.63 (define @t448 () (forall (@list @t2 @t443) @t447)) % 114.33/114.63 (define @t449 () (@list @t443)) % 114.33/114.63 (define @t450 () (forall @t449 @t447)) % 114.33/114.63 (define @t451 () (forall @t449 @t446)) % 114.33/114.63 (define @t452 () (or @t156 @t451)) % 114.33/114.63 (define @t453 () (forall @t7 (or (not @t6) @t41))) % 114.33/114.63 (define @t454 () (or @t156 @t155 @t50)) % 114.33/114.63 (define @t455 () (=> @t158 @t50)) % 114.33/114.63 (define @t456 () (or @t180 @t181 @t369)) % 114.33/114.63 (define @t457 () (forall @t9 @t454)) % 114.33/114.63 (define @t458 () (or @t180 @t185 @t369)) % 114.33/114.63 (define @t459 () (not @t369)) % 114.33/114.63 (define @t460 () (or @t206 @t459 @t368)) % 114.33/114.63 (define @t461 () (tptp.app @t362 @t177)) % 114.33/114.63 (define @t462 () (tptp.segmentP (tptp.app @t461 tptp.nil) @t177)) % 114.33/114.63 (define @t463 () (not @t368)) % 114.33/114.63 (define @t464 () (not @t440)) % 114.33/114.63 (define @t465 () (or @t441 @t441 @t464 @t463 @t206 @t462)) % 114.33/114.63 (define @t466 () (@list false false false false false)) % 114.33/114.63 (define @t467 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 114.33/114.63 (define @t468 () (@var "BOUND_VARIABLE_9430" $$unsorted)) % 114.33/114.63 (define @t469 () (= (tptp.cons @t468 (tptp.app @t467 @t2)) (tptp.app (tptp.cons @t468 @t467) @t2))) % 114.33/114.63 (define @t470 () (not (tptp.ssItem @t468))) % 114.33/114.63 (define @t471 () (not (tptp.ssList @t467))) % 114.33/114.63 (define @t472 () (or @t156 @t471 @t470 @t469)) % 114.33/114.63 (define @t473 () (or @t471 @t470 @t469)) % 114.33/114.63 (define @t474 () (or @t156 @t473)) % 114.33/114.63 (define @t475 () (@list @t2 @t467 @t468)) % 114.33/114.63 (define @t476 () (forall @t475 @t474)) % 114.33/114.63 (define @t477 () (@list @t467 @t468)) % 114.33/114.63 (define @t478 () (forall @t477 @t474)) % 114.33/114.63 (define @t479 () (forall @t477 @t473)) % 114.33/114.63 (define @t480 () (@var "BOUND_VARIABLE_9410" $$unsorted)) % 114.33/114.63 (define @t481 () (or @t156 @t479)) % 114.33/114.63 (define @t482 () (= (tptp.cons @t480 @t65) (tptp.app (tptp.cons @t480 @t1) @t2))) % 114.33/114.63 (define @t483 () (not (tptp.ssItem @t480))) % 114.33/114.63 (define @t484 () (or @t201 @t483 @t482)) % 114.33/114.63 (define @t485 () (@list @t1 @t480)) % 114.33/114.63 (define @t486 () (forall @t485 @t484)) % 114.33/114.63 (define @t487 () (or @t483 @t482)) % 114.33/114.63 (define @t488 () (or @t201 @t487)) % 114.33/114.63 (define @t489 () (forall @t485 @t488)) % 114.33/114.63 (define @t490 () (@list @t480)) % 114.33/114.63 (define @t491 () (forall @t490 @t488)) % 114.33/114.63 (define @t492 () (forall @t490 @t487)) % 114.33/114.63 (define @t493 () (or @t201 @t492)) % 114.33/114.63 (define @t494 () (forall @t16 (or (not @t34) @t66))) % 114.33/114.63 (define @t495 () (tptp.app tptp.nil @t177)) % 114.33/114.63 (define @t496 () (tptp.cons @t361 @t495)) % 114.33/114.63 (define @t497 () (or @t441 @t206 @t459 (= @t496 @t461))) % 114.33/114.63 (define @t498 () (forall @t475 @t472)) % 114.33/114.63 (define @t499 () (= @t461 @t496)) % 114.33/114.63 (define @t500 () (or @t441 @t206 @t459 @t499)) % 114.33/114.63 (define @t501 () (@list false false false false)) % 114.33/114.63 (define @t502 () (= @t2 @t72)) % 114.33/114.63 (define @t503 () (= @t177 @t495)) % 114.33/114.63 (define @t504 () (or @t441 @t503)) % 114.33/114.63 (define @t505 () (tptp.cons @t361 @t177)) % 114.33/114.63 (define @t506 () (= @t2 @t101)) % 114.33/114.63 (define @t507 () (or @t156 @t155 @t506)) % 114.33/114.63 (define @t508 () (=> @t158 @t506)) % 114.33/114.63 (define @t509 () (= @t176 @t505)) % 114.33/114.63 (define @t510 () (or @t180 @t181 @t509)) % 114.33/114.63 (define @t511 () (forall @t9 @t507)) % 114.33/114.63 (define @t512 () (or @t180 @t185 @t509)) % 114.33/114.63 (define @t513 () (tptp.app @t176 tptp.nil)) % 114.33/114.63 (define @t514 () (= @t2 @t106)) % 114.33/114.63 (define @t515 () (= @t176 @t513)) % 114.33/114.63 (define @t516 () (or @t180 @t515)) % 114.33/114.63 (define @t517 () (tptp.segmentP @t176 @t177)) % 114.33/114.63 (define @t518 () (tptp.segmentP (tptp.app @t495 @t362) @t177)) % 114.33/114.63 (define @t519 () (or @t441 @t441 @t464 @t206 @t463 @t518)) % 114.33/114.63 (define @t520 () (@var "BOUND_VARIABLE_9391" $$unsorted)) % 114.33/114.63 (define @t521 () (tptp.ssList (tptp.app @t2 @t520))) % 114.33/114.63 (define @t522 () (not (tptp.ssList @t520))) % 114.33/114.63 (define @t523 () (or @t522 @t521)) % 114.33/114.63 (define @t524 () (or @t156 @t523)) % 114.33/114.63 (define @t525 () (forall (@list @t2 @t520) @t524)) % 114.33/114.63 (define @t526 () (@list @t520)) % 114.33/114.63 (define @t527 () (forall @t526 @t524)) % 114.33/114.63 (define @t528 () (forall @t526 @t523)) % 114.33/114.63 (define @t529 () (or @t156 @t528)) % 114.33/114.63 (define @t530 () (forall @t7 (or @t201 @t61))) % 114.33/114.63 (define @t531 () (or @t441 @t463 @t367)) % 114.33/114.63 (define @t532 () (= @t370 @t209)) % 114.33/114.63 (define @t533 () (or @t206 @t180 @t532)) % 114.33/114.63 (define @t534 () (not @t532)) % 114.33/114.63 (define @t535 () (not @t367)) % 114.33/114.63 (define @t536 () (not @t370)) % 114.33/114.63 (define @t537 () (tptp.segmentP @t364 @t177)) % 114.33/114.63 (define @t538 () (not @t537)) % 114.33/114.63 (define @t539 () (not @t517)) % 114.33/114.63 (define @t540 () (tptp.neq @t177 tptp.nil)) % 114.33/114.63 (define @t541 () (not @t540)) % 114.33/114.63 (define @t542 () (or @t441 @t541 @t539 @t538)) % 114.33/114.63 (define @t543 () (= @t362 (tptp.app tptp.nil @t362))) % 114.33/114.63 (define @t544 () (or @t463 @t543)) % 114.33/114.63 (define @t545 () (tptp.segmentP @t176 @t176)) % 114.33/114.63 (define @t546 () (or @t180 @t545)) % 114.33/114.63 (define @t547 () (tptp.segmentP @t364 @t176)) % 114.33/114.63 (define @t548 () (not @t547)) % 114.33/114.63 (define @t549 () (not @t545)) % 114.33/114.63 (define @t550 () (or @t180 @t374 @t549 @t548)) % 114.33/114.63 (define @t551 () (tptp.segmentP @t364 @t364)) % 114.33/114.63 (define @t552 () (or @t376 @t551)) % 114.33/114.63 (define @t553 () (not @t509)) % 114.33/114.63 (define @t554 () (not @t551)) % 114.33/114.63 (define @t555 () (not @t543)) % 114.33/114.63 (define @t556 () (= tptp.nil @t177)) % 114.33/114.63 (define @t557 () (not @t556)) % 114.33/114.63 (define @t558 () (and @t548 @t509 @t556 @t543 @t365 @t551)) % 114.33/114.63 (define @t559 () (= @t557 @t540)) % 114.33/114.63 (define @t560 () (not @t559)) % 114.33/114.63 (define @t561 () (not (= @t177 tptp.nil))) % 114.33/114.63 (define @t562 () (= @t540 @t561)) % 114.33/114.63 (define @t563 () (or @t441 @t206 @t562)) % 114.33/114.63 (define @t564 () (or @t441 @t206 @t559)) % 114.33/114.63 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 114.33/114.63 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 114.33/114.63 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 114.33/114.63 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 114.33/114.63 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 114.33/114.63 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 114.33/114.63 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 114.33/114.63 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 114.33/114.63 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 114.33/114.63 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 114.33/114.63 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 114.33/114.63 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 114.33/114.63 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 114.33/114.63 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 114.33/114.63 (assume @p15 @t39) % 114.33/114.63 (assume @p16 @t44) % 114.33/114.63 (assume @p17 @t45) % 114.33/114.63 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 114.33/114.63 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t46))))))))))) % 114.33/114.63 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 114.33/114.63 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 114.33/114.63 (assume @p22 @t54) % 114.33/114.63 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 114.33/114.63 (assume @p24 @t59) % 114.33/114.63 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 114.33/114.63 (assume @p26 @t64) % 114.33/114.63 (assume @p27 @t71) % 114.33/114.63 (assume @p28 @t74) % 114.33/114.63 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3)))))) % 114.33/114.63 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t26) (tptp.leq @t2 @t12))))))))) % 114.33/114.63 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 114.33/114.63 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t75)))))) % 114.33/114.63 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not @t78))))))) % 114.33/114.63 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 @t35) @t80)))))))) % 114.33/114.63 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t78)))))) % 114.33/114.63 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t82))))))))) % 114.33/114.63 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t82))))))))) % 114.33/114.63 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 114.33/114.63 (assume @p39 (not (tptp.singletonP tptp.nil))) % 114.33/114.63 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 114.33/114.63 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 114.33/114.63 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 114.33/114.63 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 114.33/114.63 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 114.33/114.63 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 114.33/114.63 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 114.33/114.63 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 114.33/114.63 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 114.33/114.63 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 114.33/114.63 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t83 @t1))))))))) % 114.33/114.63 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 114.33/114.63 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 114.33/114.63 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 114.33/114.63 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 114.33/114.63 (assume @p55 @t85) % 114.33/114.63 (assume @p56 @t94) % 114.33/114.63 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 114.33/114.63 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 114.33/114.63 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t95)))) % 114.33/114.63 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 114.33/114.63 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t95)))) % 114.33/114.63 (assume @p62 (tptp.totalorderP tptp.nil)) % 114.33/114.63 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t95)))) % 114.33/114.63 (assume @p64 (tptp.strictorderP tptp.nil)) % 114.33/114.63 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t95)))) % 114.33/114.63 (assume @p66 (tptp.totalorderedP tptp.nil)) % 114.33/114.63 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t99) (or @t97 (and @t98 (tptp.totalorderedP @t1) (tptp.leq @t2 @t96))))))))) % 114.33/114.63 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t95)))) % 114.33/114.63 (assume @p69 (tptp.strictorderedP tptp.nil)) % 114.33/114.63 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t99) (or @t97 (and @t98 (tptp.strictorderedP @t1) (tptp.lt @t2 @t96))))))))) % 114.33/114.63 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t95)))) % 114.33/114.63 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 114.33/114.63 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t95)))) % 114.33/114.63 (assume @p74 (tptp.equalelemsP tptp.nil)) % 114.33/114.63 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 114.33/114.63 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 114.33/114.63 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t98 @t51 (= @t96 @t49) (= @t100 @t55)) @t46)))))) % 114.33/114.63 (assume @p78 @t104) % 114.33/114.63 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t105)))))))) % 114.33/114.63 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t105)))))))) % 114.33/114.63 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 114.33/114.63 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 114.33/114.63 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t97 @t48))))))) % 114.33/114.63 (assume @p84 @t108) % 114.33/114.63 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 114.33/114.63 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 114.33/114.63 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3)))))) % 114.33/114.63 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 114.33/114.63 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 114.33/114.63 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 114.33/114.63 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t35) @t80)))))))) % 114.33/114.63 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t79))))))) % 114.33/114.63 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 (and @t4 @t76))))))) % 114.33/114.63 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not (tptp.gt @t1 @t2)))))))) % 114.33/114.63 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 114.33/114.63 (assume @p96 @t154) % 114.33/114.63 (assume @p97 true) % 114.33/114.63 (step @p98 :rule aci_norm :args ((= (or @t156 (or @t155 @t56)) @t157))) % 114.33/114.63 (step @p99 :rule refl :args (@t56)) % 114.33/114.63 (step @p100 :rule bool-double-not-elim :args (@t155)) % 114.33/114.63 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t159 @t56))) % 114.33/114.63 (step @p102 :rule bool-impl-elim :args (@t158 @t56)) % 114.33/114.63 (step @p103 :rule trans :premises (@p102 @p101)) % 114.33/114.63 (step @p104 :rule refl :args (@t156)) % 114.33/114.63 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t156 @t160))) % 114.33/114.63 (step @p106 :rule trans :premises (@p105 @p98)) % 114.33/114.63 (step @p107 :rule bool-impl-elim :args (@t17 @t160)) % 114.33/114.63 (step @p108 :rule trans :premises (@p107 @p106)) % 114.33/114.63 (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t160)))) % 114.33/114.63 (step @p110 :rule refl :args (@t56)) % 114.33/114.63 (step @p111 :rule eq-symm :args (tptp.nil @t2)) % 114.33/114.63 (step @p112 :rule cong :premises (@p111) :args (@t51)) % 114.33/114.63 (step @p113 :rule cong :premises (@p112 @p110) :args (@t57)) % 114.33/114.63 (step @p114 :rule refl :args (@t17)) % 114.33/114.63 (step @p115 :rule cong :premises (@p114 @p113) :args (@t58)) % 114.33/114.63 (step @p116 :rule cong :premises (@p115) :args (@t59)) % 114.33/114.63 (step @p117 :rule trans :premises (@p116 @p109)) % 114.33/114.63 (step @p118 :rule eq_resolve :premises (@p24 @p117)) % 114.33/114.63 (step @p119 :rule refl :args (@t178)) % 114.33/114.63 (step @p120 :rule eq-symm :args (@t176 tptp.nil)) % 114.33/114.63 (step @p121 :rule refl :args (@t180)) % 114.33/114.63 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t182)) % 114.33/114.63 (step @p123 :rule refl :args (@t183)) % 114.33/114.63 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t183 @t182))) % 114.33/114.63 (assume-push @p980 @t183) % 114.33/114.63 (step @p126 :rule instantiate :premises (@p118) :args (@t184)) % 114.33/114.63 (step-pop @p981 :rule scope :premises (@p126)) % 114.33/114.63 (step @p127 :rule process_scope :premises (@p981) :args (@t182)) % 114.33/114.63 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 114.33/114.63 (step @p130 :rule implies_elim :premises (@p129)) % 114.33/114.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t186 @t187 (@list @t183))) % 114.33/114.63 (step @p132 :rule aci_norm :args ((= @t193 @t191))) % 114.33/114.63 (step @p133 :rule cong :premises (@p132) :args (@t195)) % 114.33/114.63 (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t197) @t195))) % 114.33/114.63 (step @p135 :rule alpha_equiv :args (@t198 (@list @t188) 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(step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t300)) % 114.33/114.63 (step @p341 :rule aci_norm :args ((= (or @t289 (or @t299 @t298)) @t300))) % 114.33/114.63 (step @p342 :rule trans :premises (@p341 @p340)) % 114.33/114.63 (step @p343 :rule bool-and-de-morgan :args (@t133 @t297 true)) % 114.33/114.63 (step @p344 :rule nary_cong :premises (@p339 @p343) :args ((or @t289 (not (and @t133 @t297))))) % 114.33/114.63 (step @p345 :rule bool-and-de-morgan :args (@t30 @t133 (and @t297))) % 114.33/114.63 (step @p346 :rule trans :premises (@p345 @p344)) % 114.33/114.63 (step @p347 :rule trans :premises (@p346 @p342)) % 114.33/114.63 (step @p348 :rule trans :premises (@p347 @p336)) % 114.33/114.63 (step @p349 :rule cong :premises (@p348) :args (@t302)) % 114.33/114.63 (step @p350 :rule trans :premises (@p349 @p335)) % 114.33/114.63 (step @p351 :rule cong :premises (@p350) :args (@t303)) % 114.33/114.63 (step @p352 :rule exists-elim :args ((= (exists @t31 @t301) @t303))) % 114.33/114.63 (step @p353 :rule trans :premises (@p352 @p351)) % 114.33/114.63 (step @p354 :rule aci_norm :args ((= (or @t278 @t276 @t274 @t304) @t296))) % 114.33/114.63 (step @p355 :rule aci_norm :args ((= (or @t272 false @t288) @t304))) % 114.33/114.63 (step @p356 :rule refl :args (@t288)) % 114.33/114.63 (step @p357 :rule eq-refl :args (@t123)) % 114.33/114.63 (step @p358 :rule cong :premises (@p357) :args (@t305)) % 114.33/114.63 (step @p359 :rule trans :premises (@p358 @p194)) % 114.33/114.63 (step @p360 :rule nary_cong :premises (@p325 @p359 @p356) :args (@t306)) % 114.33/114.63 (step @p361 :rule trans :premises (@p360 @p355)) % 114.33/114.63 (step @p362 :rule quant-var-elim-eq :args ((= (forall @t130 @t311) @t306))) % 114.33/114.63 (step @p363 :rule aci_norm :args ((= @t312 @t311))) % 114.33/114.63 (step @p364 :rule cong :premises (@p363) :args (@t313)) % 114.33/114.63 (step @p365 :rule trans :premises (@p364 @p362)) % 114.33/114.63 (step @p366 :rule trans :premises (@p365 @p361)) % 114.33/114.63 (step @p367 :rule nary_cong :premises (@p328 @p327 @p326 @p366) :args (@t314)) % 114.33/114.63 (step @p368 :rule trans :premises (@p367 @p354)) % 114.33/114.63 (step @p369 :rule quant-miniscope-or :args ((= (forall @t130 @t315) @t314))) % 114.33/114.63 (step @p370 :rule aci_norm :args ((= @t316 @t315))) % 114.33/114.63 (step @p371 :rule cong :premises (@p370) :args ((forall @t130 @t316))) % 114.33/114.63 (step @p372 :rule trans :premises (@p371 @p369)) % 114.33/114.63 (step @p373 :rule trans :premises (@p372 @p368)) % 114.33/114.63 (step @p374 :rule aci_norm :args ((= (or @t310 @t317) @t316))) % 114.33/114.63 (step @p375 :rule bool-double-not-elim :args (@t317)) % 114.33/114.63 (step @p376 :rule refl :args (@t310)) % 114.33/114.63 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or @t310 (not @t318)))) % 114.33/114.63 (step @p378 :rule bool-and-de-morgan :args (@t128 @t318 true)) % 114.33/114.63 (step @p379 :rule trans :premises (@p378 @p377)) % 114.33/114.63 (step @p380 :rule trans :premises (@p379 @p374)) % 114.33/114.63 (step @p381 :rule cong :premises (@p380) :args (@t320)) % 114.33/114.63 (step @p382 :rule trans :premises (@p381 @p373)) % 114.33/114.63 (step @p383 :rule cong :premises (@p382) :args (@t321)) % 114.33/114.63 (step @p384 :rule exists-elim :args ((= (exists @t130 @t319) @t321))) % 114.33/114.63 (step @p385 :rule trans :premises (@p384 @p383)) % 114.33/114.63 (step @p386 :rule aci_norm :args ((= (or @t309 @t278 @t276 @t322) @t317))) % 114.33/114.63 (step @p387 :rule aci_norm :args ((= (or @t274 @t307 false) @t322))) % 114.33/114.63 (step @p388 :rule eq-refl :args (@t254)) % 114.33/114.63 (step @p389 :rule cong :premises (@p388) :args (@t323)) % 114.33/114.63 (step @p390 :rule trans :premises (@p389 @p194)) % 114.33/114.63 (step @p391 :rule refl :args (@t307)) % 114.33/114.63 (step @p392 :rule nary_cong :premises (@p326 @p391 @p390) :args (@t324)) % 114.33/114.63 (step @p393 :rule trans :premises (@p392 @p387)) % 114.33/114.63 (step @p394 :rule quant-var-elim-eq :args ((= (forall @t126 @t329) @t324))) % 114.33/114.63 (step @p395 :rule aci_norm :args ((= @t330 @t329))) % 114.33/114.63 (step @p396 :rule cong :premises (@p395) :args (@t331)) % 114.33/114.63 (step @p397 :rule trans :premises (@p396 @p394)) % 114.33/114.63 (step @p398 :rule trans :premises (@p397 @p393)) % 114.33/114.63 (step @p399 :rule refl :args (@t309)) % 114.33/114.63 (step @p400 :rule nary_cong :premises (@p399 @p328 @p327 @p398) :args (@t332)) % 114.33/114.63 (step @p401 :rule trans :premises (@p400 @p386)) % 114.33/114.63 (step @p402 :rule quant-miniscope-or :args ((= (forall @t126 @t333) @t332))) % 114.33/114.63 (step @p403 :rule aci_norm :args ((= @t334 @t333))) % 114.33/114.63 (step @p404 :rule cong :premises (@p403) :args ((forall @t126 @t334))) % 114.33/114.63 (step @p405 :rule trans :premises (@p404 @p402)) % 114.33/114.63 (step @p406 :rule trans :premises (@p405 @p401)) % 114.33/114.63 (step @p407 :rule aci_norm :args ((= (or @t328 @t309 @t327 @t335 @t278) @t334))) % 114.33/114.63 (step @p408 :rule refl :args (@t278)) % 114.33/114.63 (step @p409 :rule bool-double-not-elim :args (@t335)) % 114.33/114.63 (step @p410 :rule refl :args (@t327)) % 114.33/114.63 (step @p411 :rule refl :args (@t309)) % 114.33/114.63 (step @p412 :rule refl :args (@t328)) % 114.33/114.63 (step @p413 :rule nary_cong :premises (@p412 @p411 @p410 @p409 @p408) :args (@t338)) % 114.33/114.63 (step @p414 :rule aci_norm :args ((= (or @t328 (or @t309 (or @t327 (or @t337 @t278)))) @t338))) % 114.33/114.63 (step @p415 :rule trans :premises (@p414 @p413)) % 114.33/114.63 (step @p416 :rule bool-and-de-morgan :args (@t336 @t112 true)) % 114.33/114.63 (step @p417 :rule nary_cong :premises (@p410 @p416) :args ((or @t327 (not (and @t336 @t112))))) % 114.33/114.63 (step @p418 :rule bool-and-de-morgan :args (@t326 @t336 (and @t112))) % 114.33/114.63 (step @p419 :rule trans :premises (@p418 @p417)) % 114.33/114.63 (step @p420 :rule nary_cong :premises (@p411 @p419) :args ((or @t309 (not (and @t326 @t336 @t112))))) % 114.33/114.63 (step @p421 :rule bool-and-de-morgan :args (@t308 @t326 (and @t336 @t112))) % 114.33/114.63 (step @p422 :rule trans :premises (@p421 @p420)) % 114.33/114.63 (step @p423 :rule nary_cong :premises (@p412 @p422) :args ((or @t328 (not (and @t308 @t326 @t336 @t112))))) % 114.33/114.63 (step @p424 :rule bool-and-de-morgan :args (@t124 @t308 (and @t326 @t336 @t112))) % 114.33/114.63 (step @p425 :rule trans :premises (@p424 @p423)) % 114.33/114.63 (step @p426 :rule trans :premises (@p425 @p415)) % 114.33/114.63 (step @p427 :rule trans :premises (@p426 @p407)) % 114.33/114.63 (step @p428 :rule cong :premises (@p427) :args (@t340)) % 114.33/114.63 (step @p429 :rule trans :premises (@p428 @p406)) % 114.33/114.63 (step @p430 :rule cong :premises (@p429) :args (@t341)) % 114.33/114.63 (step @p431 :rule exists-elim :args ((= (exists @t126 @t339) @t341))) % 114.33/114.63 (step @p432 :rule trans :premises (@p431 @p430)) % 114.33/114.63 (step @p433 :rule refl :args (@t112)) % 114.33/114.63 (step @p434 :rule aci_norm :args ((= (or @t278 @t342) @t335))) % 114.33/114.63 (step @p435 :rule aci_norm :args ((= (or @t276 @t325 false) @t342))) % 114.33/114.63 (step @p436 :rule eq-refl :args (@t114)) % 114.33/114.63 (step @p437 :rule cong :premises (@p436) :args (@t343)) % 114.33/114.63 (step @p438 :rule trans :premises (@p437 @p194)) % 114.33/114.63 (step @p439 :rule refl :args (@t325)) % 114.33/114.63 (step @p440 :rule nary_cong :premises (@p327 @p439 @p438) :args (@t344)) % 114.33/114.63 (step @p441 :rule trans :premises (@p440 @p435)) % 114.33/114.63 (step @p442 :rule quant-var-elim-eq :args ((= (forall @t119 @t350) @t344))) % 114.33/114.63 (step @p443 :rule aci_norm :args ((= @t351 @t350))) % 114.33/114.63 (step @p444 :rule cong :premises (@p443) :args (@t352)) % 114.33/114.63 (step @p445 :rule trans :premises (@p444 @p442)) % 114.33/114.63 (step @p446 :rule trans :premises (@p445 @p441)) % 114.33/114.63 (step @p447 :rule nary_cong :premises (@p328 @p446) :args (@t353)) % 114.33/114.63 (step @p448 :rule trans :premises (@p447 @p434)) % 114.33/114.63 (step @p449 :rule quant-miniscope-or :args ((= (forall @t119 @t354) @t353))) % 114.33/114.63 (step @p450 :rule aci_norm :args ((= @t355 @t354))) % 114.33/114.63 (step @p451 :rule cong :premises (@p450) :args ((forall @t119 @t355))) % 114.33/114.63 (step @p452 :rule trans :premises (@p451 @p449)) % 114.33/114.63 (step @p453 :rule trans :premises (@p452 @p448)) % 114.33/114.63 (step @p454 :rule aci_norm :args ((= (or @t349 (or @t348 (or @t346 @t278))) @t355))) % 114.33/114.63 (step @p455 :rule bool-and-de-morgan :args (@t345 @t112 true)) % 114.33/114.63 (step @p456 :rule refl :args (@t348)) % 114.33/114.63 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t348 (not (and @t345 @t112))))) % 114.33/114.63 (step @p458 :rule bool-and-de-morgan :args (@t347 @t345 (and @t112))) % 114.33/114.63 (step @p459 :rule trans :premises (@p458 @p457)) % 114.33/114.63 (step @p460 :rule refl :args (@t349)) % 114.33/114.63 (step @p461 :rule nary_cong :premises (@p460 @p459) :args ((or @t349 (not (and @t347 @t345 @t112))))) % 114.33/114.63 (step @p462 :rule bool-and-de-morgan :args (@t117 @t347 (and @t345 @t112))) % 114.33/114.63 (step @p463 :rule trans :premises (@p462 @p461)) % 114.33/114.63 (step @p464 :rule trans :premises (@p463 @p454)) % 114.33/114.63 (step @p465 :rule cong :premises (@p464) :args (@t357)) % 114.33/114.63 (step @p466 :rule trans :premises (@p465 @p453)) % 114.33/114.63 (step @p467 :rule cong :premises (@p466) :args (@t358)) % 114.33/114.63 (step @p468 :rule exists-elim :args ((= (exists @t119 @t356) @t358))) % 114.33/114.63 (step @p469 :rule trans :premises (@p468 @p467)) % 114.33/114.63 (step @p470 :rule eq-symm :args (@t114 @t113)) % 114.33/114.63 (step @p471 :rule eq-symm :args (@t116 @t115)) % 114.33/114.63 (step @p472 :rule refl :args (@t117)) % 114.33/114.63 (step @p473 :rule nary_cong :premises (@p472 @p471 @p470 @p433) :args (@t118)) % 114.33/114.63 (step @p474 :rule cong :premises (@p473) :args (@t120)) % 114.33/114.63 (step @p475 :rule trans :premises (@p474 @p469)) % 114.33/114.63 (step @p476 :rule eq-symm :args (@t122 @t27)) % 114.33/114.63 (step @p477 :rule eq-symm :args (@t123 @t121)) % 114.33/114.63 (step @p478 :rule refl :args (@t124)) % 114.33/114.63 (step @p479 :rule nary_cong :premises (@p478 @p477 @p476 @p475 @p433) :args (@t125)) % 114.33/114.63 (step @p480 :rule cong :premises (@p479) :args (@t127)) % 114.33/114.63 (step @p481 :rule trans :premises (@p480 @p432)) % 114.33/114.63 (step @p482 :rule refl :args (@t128)) % 114.33/114.63 (step @p483 :rule nary_cong :premises (@p482 @p481) :args (@t129)) % 114.33/114.63 (step @p484 :rule cong :premises (@p483) :args (@t131)) % 114.33/114.63 (step @p485 :rule trans :premises (@p484 @p385)) % 114.33/114.63 (step @p486 :rule refl :args (@t133)) % 114.33/114.63 (step @p487 :rule refl :args (@t30)) % 114.33/114.63 (step @p488 :rule nary_cong :premises (@p487 @p486 @p485) :args (@t134)) % 114.33/114.63 (step @p489 :rule cong :premises (@p488) :args (@t135)) % 114.33/114.63 (step @p490 :rule trans :premises (@p489 @p353)) % 114.33/114.63 (step @p491 :rule aci_norm :args ((= (or @t169 (or @t168 (or @t228 @t167))) @t229))) % 114.33/114.63 (step @p492 :rule bool-and-de-morgan :args (@t137 @t136 true)) % 114.33/114.63 (step @p493 :rule refl :args (@t168)) % 114.33/114.63 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t168 (not (and @t137 @t136))))) % 114.33/114.63 (step @p495 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136))) % 114.33/114.63 (step @p496 :rule trans :premises (@p495 @p494)) % 114.33/114.63 (step @p497 :rule refl :args (@t169)) % 114.33/114.63 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t169 (not (and @t138 @t137 @t136))))) % 114.33/114.63 (step @p499 :rule bool-and-de-morgan :args (@t32 @t138 (and @t137 @t136))) % 114.33/114.63 (step @p500 :rule trans :premises (@p499 @p498)) % 114.33/114.63 (step @p501 :rule trans :premises (@p500 @p491)) % 114.33/114.63 (step @p502 :rule cong :premises (@p501) :args (@t359)) % 114.33/114.63 (step @p503 :rule cong :premises (@p502) :args (@t360)) % 114.33/114.63 (step @p504 :rule exists-elim :args ((= @t140 @t360))) % 114.33/114.63 (step @p505 :rule trans :premises (@p504 @p503)) % 114.33/114.63 (step @p506 :rule nary_cong :premises (@p214 @p505 @p490) :args (@t141)) % 114.33/114.63 (step @p507 :rule nary_cong :premises (@p506 @p310) :args (@t142)) % 114.33/114.63 (step @p508 :rule refl :args (@t144)) % 114.33/114.63 (step @p509 :rule nary_cong :premises (@p508 @p225 @p507) :args (@t145)) % 114.33/114.63 (step @p510 :rule refl :args (@t13)) % 114.33/114.63 (step @p511 :rule cong :premises (@p510 @p509) :args (@t146)) % 114.33/114.63 (step @p512 :rule cong :premises (@p511) :args (@t147)) % 114.33/114.63 (step @p513 :rule trans :premises (@p512 @p309)) % 114.33/114.63 (step @p514 :rule refl :args (@t15)) % 114.33/114.63 (step @p515 :rule cong :premises (@p514 @p513) :args (@t148)) % 114.33/114.63 (step @p516 :rule cong :premises (@p515) :args (@t149)) % 114.33/114.63 (step @p517 :rule trans :premises (@p516 @p242)) % 114.33/114.63 (step @p518 :rule refl :args (@t21)) % 114.33/114.63 (step @p519 :rule cong :premises (@p518 @p517) :args (@t150)) % 114.33/114.63 (step @p520 :rule cong :premises (@p519) :args (@t151)) % 114.33/114.63 (step @p521 :rule trans :premises (@p520 @p190)) % 114.33/114.63 (step @p522 :rule cong :premises (@p114 @p521) :args (@t152)) % 114.33/114.63 (step @p523 :rule cong :premises (@p522) :args (@t153)) % 114.33/114.63 (step @p524 :rule trans :premises (@p523 @p181)) % 114.33/114.63 (step @p525 :rule cong :premises (@p524) :args (@t154)) % 114.33/114.63 (step @p526 :rule eq_resolve :premises (@p96 @p525)) % 114.33/114.63 (step @p527 :rule skolemize :premises (@p526)) % 114.33/114.63 (step @p528 :rule bool-double-not-elim :args (@t179)) % 114.33/114.63 (step @p529 :rule refl :args (@t377)) % 114.33/114.63 (step @p530 :rule nary_cong :premises (@p529 @p528) :args ((or @t377 (not @t180)))) % 114.33/114.63 (step @p531 :rule cnf_or_neg :args (@t377 1)) % 114.33/114.63 (step @p532 :rule eq_resolve :premises (@p531 @p530)) % 114.33/114.63 (step @p533 :rule reordering :premises (@p532) :args ((or @t179 @t377))) % 114.33/114.63 (step @p534 :rule chain_m_resolution :premises (@p533 @p527) :args (@t179 @t378 @t379)) % 114.33/114.63 (step @p535 :rule cnf_or_pos :args (@t211)) % 114.33/114.63 (step @p536 :rule reordering :premises (@p535) :args ((or @t206 @t180 @t210 (not @t211)))) % 114.33/114.63 (step @p537 :rule chain_m_resolution :premises (@p536 @p17 @p534 @p165) :args (@t210 @t380 (@list @t45 @t179 @t211))) % 114.33/114.63 (step @p538 :rule bool-double-not-elim :args (@t204)) % 114.33/114.63 (step @p539 :rule nary_cong :premises (@p529 @p538) :args ((or @t377 (not @t374)))) % 114.33/114.63 (step @p540 :rule cnf_or_neg :args (@t377 2)) % 114.33/114.63 (step @p541 :rule eq_resolve :premises (@p540 @p539)) % 114.33/114.63 (step @p542 :rule reordering :premises (@p541) :args ((or @t204 @t377))) % 114.33/114.63 (step @p543 :rule chain_m_resolution :premises (@p542 @p527) :args (@t204 @t378 @t379)) % 114.33/114.63 (step @p544 :rule cnf_equiv_pos1 :args (@t210)) % 114.33/114.63 (step @p545 :rule reordering :premises (@p544) :args ((or @t374 @t209 (not @t210)))) % 114.33/114.63 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p537) :args (@t209 @t381 (@list @t204 @t210))) % 114.33/114.63 (step @p547 :rule cnf_or_pos :args (@t186)) % 114.33/114.63 (step @p548 :rule reordering :premises (@p547) :args ((or @t180 @t178 @t185 (not @t186)))) % 114.33/114.63 (step @p549 :rule chain_m_resolution :premises (@p548 @p534 @p546 @p131) :args (@t178 @t382 (@list @t179 @t185 @t186))) % 114.33/114.63 (step @p550 :rule bool-double-not-elim :args (@t372)) % 114.33/114.63 (step @p551 :rule nary_cong :premises (@p529 @p550) :args ((or @t377 (not @t373)))) % 114.33/114.63 (step @p552 :rule cnf_or_neg :args (@t377 3)) % 114.33/114.63 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 114.33/114.63 (step @p554 :rule reordering :premises (@p553) :args ((or @t372 @t377))) % 114.33/114.63 (step @p555 :rule chain_m_resolution :premises (@p554 @p527) :args (@t372 @t378 @t379)) % 114.33/114.63 (step @p556 :rule instantiate :premises (@p555) :args (@t383)) % 114.33/114.63 (step @p557 :rule aci_norm :args ((= @t393 (or @t156 @t391 @t390 @t389 @t388 @t387)))) % 114.33/114.63 (step @p558 :rule cong :premises (@p557) :args (@t394)) % 114.33/114.63 (step @p559 :rule quant-merge-prenex :args ((= (forall @t9 @t396) @t394))) % 114.33/114.63 (step @p560 :rule alpha_equiv :args (@t397 (@list @t384 @t386 @t385) (@list @t1 @t399 @t398))) % 114.33/114.63 (step @p561 :rule nary_cong :premises (@p104 @p560) :args (@t400)) % 114.33/114.63 (step @p562 :rule quant-miniscope-or :args ((= @t396 @t400))) % 114.33/114.63 (step @p563 :rule trans :premises (@p562 @p561)) % 114.33/114.63 (step @p564 :rule symm :premises (@p563)) % 114.33/114.63 (step @p565 :rule cong :premises (@p564) :args ((forall @t9 (or @t156 @t407)))) % 114.33/114.63 (step @p566 :rule trans :premises (@p565 @p559)) % 114.33/114.63 (step @p567 :rule trans :premises (@p566 @p558)) % 114.33/114.63 (step @p568 :rule bool-impl-elim :args (@t17 @t407)) % 114.33/114.63 (step @p569 :rule cong :premises (@p568) :args ((forall @t9 (=> @t17 @t407)))) % 114.33/114.63 (step @p570 :rule trans :premises (@p569 @p567)) % 114.33/114.63 (step @p571 :rule aci_norm :args ((= @t409 @t405))) % 114.33/114.63 (step @p572 :rule cong :premises (@p571) :args (@t410)) % 114.33/114.63 (step @p573 :rule quant-merge-prenex :args ((= (forall @t7 @t412) @t410))) % 114.33/114.63 (step @p574 :rule alpha_equiv :args (@t413 (@list @t399 @t398) (@list @t12 @t414))) % 114.33/114.63 (step @p575 :rule refl :args (@t404)) % 114.33/114.63 (step @p576 :rule 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(@t510)) % 114.33/114.63 (step @p787 :rule refl :args (@t511)) % 114.33/114.63 (step @p788 :rule cong :premises (@p787 @p786) :args ((=> @t511 @t510))) % 114.33/114.63 (assume-push @p988 @t511) % 114.33/114.63 (step @p790 :rule instantiate :premises (@p784) :args (@t184)) % 114.33/114.63 (step-pop @p989 :rule scope :premises (@p790)) % 114.33/114.63 (step @p791 :rule process_scope :premises (@p989) :args (@t510)) % 114.33/114.63 (step @p793 :rule eq_resolve :premises (@p791 @p788)) % 114.33/114.63 (step @p794 :rule implies_elim :premises (@p793)) % 114.33/114.63 (step @p795 :rule chain_m_resolution :premises (@p794 @p784) :args (@t512 @t187 (@list @t511))) % 114.33/114.63 (step @p796 :rule cnf_or_pos :args (@t512)) % 114.33/114.63 (step @p797 :rule reordering :premises (@p796) :args ((or @t180 @t185 @t509 (not @t512)))) % 114.33/114.63 (step @p798 :rule chain_m_resolution :premises (@p797 @p534 @p546 @p795) :args (@t509 @t382 (@list @t179 @t185 @t512))) % 114.33/114.63 (step @p799 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114.33/114.63 (step @p812 :rule trans :premises (@p811 @p800)) % 114.33/114.63 (step @p813 :rule cong :premises (@p812 @p700) :args (@t517)) % 114.33/114.63 (step @p814 :rule trans :premises (@p813 @p699)) % 114.33/114.63 (step @p815 :rule true_elim :premises (@p814)) % 114.33/114.63 (step @p816 :rule instantiate :premises (@p632) :args ((@list @t177 @t177 tptp.nil @t362))) % 114.33/114.63 (step @p817 :rule cnf_or_pos :args (@t519)) % 114.33/114.63 (step @p818 :rule factoring :premises (@p817)) % 114.33/114.63 (step @p819 :rule reordering :premises (@p818) :args ((or @t206 @t463 @t441 @t464 @t518 (not @t519)))) % 114.33/114.63 (step @p820 :rule chain_m_resolution :premises (@p819 @p17 @p694 @p549 @p640 @p816) :args (@t518 @t466 (@list @t45 @t368 @t178 @t440 @t519))) % 114.33/114.63 (step @p821 :rule true_intro :premises (@p820)) % 114.33/114.63 (step @p822 :rule refl :args (@t362)) % 114.33/114.63 (step @p823 :rule cong :premises (@p766 @p822) :args (@t363)) % 114.33/114.63 (step @p824 :rule aci_norm :args ((= @t524 (or @t156 @t522 @t521)))) % 114.33/114.63 (step @p825 :rule cong :premises (@p824) :args (@t525)) % 114.33/114.63 (step @p826 :rule quant-merge-prenex :args ((= (forall @t9 @t527) @t525))) % 114.33/114.63 (step @p827 :rule alpha_equiv :args (@t528 (@list @t520) @t199)) % 114.33/114.63 (step @p828 :rule nary_cong :premises (@p104 @p827) :args (@t529)) % 114.33/114.63 (step @p829 :rule quant-miniscope-or :args ((= @t527 @t529))) % 114.33/114.63 (step @p830 :rule trans :premises (@p829 @p828)) % 114.33/114.63 (step @p831 :rule symm :premises (@p830)) % 114.33/114.63 (step @p832 :rule cong :premises (@p831) :args ((forall @t9 (or @t156 @t530)))) % 114.33/114.63 (step @p833 :rule trans :premises (@p832 @p826)) % 114.33/114.63 (step @p834 :rule trans :premises (@p833 @p825)) % 114.33/114.63 (step @p835 :rule bool-impl-elim :args (@t17 @t530)) % 114.33/114.63 (step @p836 :rule cong :premises (@p835) :args ((forall @t9 (=> @t17 @t530)))) % 114.33/114.63 (step @p837 :rule trans :premises (@p836 @p834)) % 114.33/114.63 (step @p838 :rule bool-impl-elim :args (@t21 @t61)) % 114.33/114.63 (step @p839 :rule cong :premises (@p838) :args (@t62)) % 114.33/114.63 (step @p840 :rule cong :premises (@p114 @p839) :args (@t63)) % 114.33/114.63 (step @p841 :rule cong :premises (@p840) :args (@t64)) % 114.33/114.63 (step @p842 :rule trans :premises (@p841 @p837)) % 114.33/114.63 (step @p843 :rule eq_resolve :premises (@p26 @p842)) % 114.33/114.63 (step @p844 :rule instantiate :premises (@p843) :args ((@list @t177 @t362))) % 114.33/114.63 (step @p845 :rule cnf_or_pos :args (@t531)) % 114.33/114.63 (step @p846 :rule reordering :premises (@p845) :args ((or @t367 @t463 @t441 (not @t531)))) % 114.33/114.63 (step @p847 :rule chain_m_resolution :premises (@p846 @p694 @p549 @p844) :args (@t367 @t380 (@list @t368 @t178 @t531))) % 114.33/114.63 (step @p848 :rule instantiate :premises (@p151) :args ((@list tptp.nil @t176))) % 114.33/114.63 (step @p849 :rule cnf_or_pos :args (@t533)) % 114.33/114.63 (step @p850 :rule reordering :premises (@p849) :args ((or @t206 @t180 @t532 (not @t533)))) % 114.33/114.63 (step @p851 :rule chain_m_resolution :premises (@p850 @p17 @p534 @p848) :args (@t532 @t380 (@list @t45 @t179 @t533))) % 114.33/114.63 (step @p852 :rule bool-double-not-elim :args (@t185)) % 114.33/114.63 (step @p853 :rule refl :args (@t370)) % 114.33/114.63 (step @p854 :rule refl :args (@t534)) % 114.33/114.63 (step @p855 :rule nary_cong :premises (@p854 @p853 @p852) :args ((or @t534 @t370 (not @t209)))) % 114.33/114.63 (step @p856 :rule cnf_equiv_pos2 :args (@t532)) % 114.33/114.63 (step @p857 :rule eq_resolve :premises (@p856 @p855)) % 114.33/114.63 (step @p858 :rule reordering :premises (@p857) :args ((or @t370 @t185 @t534))) % 114.33/114.63 (step @p859 :rule chain_m_resolution :premises (@p858 @p546 @p851) :args (@t370 (@list true false) (@list @t185 @t532))) % 114.33/114.63 (step @p860 :rule cnf_or_neg :args (@t377 4)) % 114.33/114.63 (step @p861 :rule chain_m_resolution :premises (@p860 @p527) :args ((not @t371) @t378 @t379)) % 114.33/114.63 (step @p862 :rule bool-double-not-elim :args (@t365)) % 114.33/114.63 (step @p863 :rule refl :args (@t535)) % 114.33/114.63 (step @p864 :rule refl :args (@t463)) % 114.33/114.63 (step @p865 :rule refl :args (@t536)) % 114.33/114.63 (step @p866 :rule refl :args (@t371)) % 114.33/114.63 (step @p867 :rule nary_cong :premises (@p866 @p865 @p740 @p864 @p741 @p863 @p862) :args ((or @t371 @t536 @t459 @t463 @t441 @t535 (not @t366)))) % 114.33/114.63 (step @p868 :rule cnf_and_neg :args (@t371)) % 114.33/114.63 (step @p869 :rule eq_resolve :premises (@p868 @p867)) % 114.33/114.63 (step @p870 :rule reordering :premises (@p869) :args ((or @t365 @t371 @t536 @t459 @t463 @t441 @t535))) % 114.33/114.63 (step @p871 :rule chain_m_resolution :premises (@p870 @p861 @p859 @p691 @p694 @p549 @p847) :args (@t365 (@list true false false false false false) (@list @t371 @t370 @t369 @t368 @t178 @t367))) % 114.33/114.63 (step @p872 :rule trans :premises (@p871 @p823)) % 114.33/114.63 (step @p873 :rule cong :premises (@p872 @p700) :args (@t537)) % 114.33/114.63 (step @p874 :rule trans :premises (@p873 @p821)) % 114.33/114.63 (step @p875 :rule true_elim :premises (@p874)) % 114.33/114.63 (step @p876 :rule cnf_or_pos :args (@t542)) % 114.33/114.63 (step @p877 :rule reordering :premises (@p876) :args ((or @t441 @t538 @t539 @t541 (not @t542)))) % 114.33/114.63 (step @p878 :rule chain_m_resolution :premises (@p877 @p549 @p875 @p815 @p556) :args (@t541 @t501 (@list @t178 @t537 @t517 @t542))) % 114.33/114.63 (step @p879 :rule instantiate :premises (@p762) :args ((@list @t362))) % 114.33/114.63 (step @p880 :rule cnf_or_pos :args (@t544)) % 114.33/114.63 (step @p881 :rule reordering :premises (@p880) :args ((or @t463 @t543 (not @t544)))) % 114.33/114.63 (step @p882 :rule chain_m_resolution :premises (@p881 @p694 @p879) :args (@t543 @t381 (@list @t368 @t544))) % 114.33/114.63 (step @p883 :rule instantiate :premises (@p555) :args (@t184)) % 114.33/114.63 (step @p884 :rule instantiate :premises (@p636) :args (@t184)) % 114.33/114.63 (step @p885 :rule cnf_or_pos :args (@t546)) % 114.33/114.63 (step @p886 :rule reordering :premises (@p885) :args ((or @t180 @t545 (not @t546)))) % 114.33/114.63 (step @p887 :rule chain_m_resolution :premises (@p886 @p534 @p884) :args (@t545 @t381 (@list @t179 @t546))) % 114.33/114.63 (step @p888 :rule cnf_or_pos :args (@t550)) % 114.33/114.63 (step @p889 :rule reordering :premises (@p888) :args ((or @t180 @t374 @t548 @t549 (not @t550)))) % 114.33/114.63 (step @p890 :rule chain_m_resolution :premises (@p889 @p534 @p543 @p887 @p883) :args (@t548 @t501 (@list @t179 @t204 @t545 @t550))) % 114.33/114.63 (step @p891 :rule instantiate :premises (@p636) :args ((@list @t364))) % 114.33/114.63 (step @p892 :rule bool-double-not-elim :args (@t375)) % 114.33/114.63 (step @p893 :rule nary_cong :premises (@p529 @p892) :args ((or @t377 (not @t376)))) % 114.33/114.63 (step @p894 :rule cnf_or_neg :args (@t377 0)) % 114.33/114.63 (step @p895 :rule eq_resolve :premises (@p894 @p893)) % 114.33/114.63 (step @p896 :rule reordering :premises (@p895) :args ((or @t375 @t377))) % 114.33/114.63 (step @p897 :rule chain_m_resolution :premises (@p896 @p527) :args (@t375 @t378 @t379)) % 114.33/114.63 (step @p898 :rule cnf_or_pos :args (@t552)) % 114.33/114.63 (step @p899 :rule reordering :premises (@p898) :args ((or @t376 @t551 (not @t552)))) % 114.33/114.63 (step @p900 :rule chain_m_resolution :premises (@p899 @p897 @p891) :args (@t551 @t381 (@list @t375 @t552))) % 114.33/114.63 (step @p901 :rule refl :args (@t553)) % 114.33/114.63 (step @p902 :rule bool-double-not-elim :args (@t547)) % 114.33/114.63 (step @p903 :rule refl :args (@t554)) % 114.33/114.63 (step @p904 :rule refl :args (@t555)) % 114.33/114.63 (step @p905 :rule refl :args (@t557)) % 114.33/114.63 (step @p906 :rule refl :args (@t366)) % 114.33/114.63 (step @p907 :rule nary_cong :premises (@p906 @p905 @p904 @p903 @p902 @p901) :args ((or @t366 @t557 @t555 @t554 (not @t548) @t553))) % 114.33/114.63 (assume-push @p990 @t548) % 114.33/114.63 (assume-push @p991 @t509) % 114.33/114.63 (assume-push @p992 @t556) % 114.33/114.63 (assume-push @p993 @t543) % 114.33/114.63 (assume-push @p994 @t365) % 114.33/114.63 (assume-push @p995 @t551) % 114.33/114.63 (step @p914 :rule evaluate :args ((= true false))) % 114.33/114.63 (step @p915 :rule false_intro :premises (@p890)) % 114.33/114.63 (step @p916 :rule symm :premises (@p798)) % 114.33/114.63 (step @p917 :rule cong :premises (@p767 @p992) :args (@t362)) % 114.33/114.63 (step @p918 :rule symm :premises (@p882)) % 114.33/114.63 (step @p919 :rule symm :premises (@p992)) % 114.33/114.63 (step @p920 :rule cong :premises (@p919 @p822) :args (@t363)) % 114.33/114.63 (step @p921 :rule trans :premises (@p871 @p920 @p918 @p917 @p916)) % 114.33/114.63 (step @p922 :rule refl :args (@t364)) % 114.33/114.63 (step @p923 :rule cong :premises (@p922 @p921) :args (@t551)) % 114.33/114.63 (step @p924 :rule true_intro :premises (@p900)) % 114.33/114.63 (step @p925 :rule symm :premises (@p924)) % 114.33/114.63 (step @p926 :rule trans :premises (@p925 @p923 @p915)) % 114.33/114.63 (step @p927 false :rule eq_resolve :premises (@p926 @p914)) % 114.33/114.63 (step-pop @p996 :rule scope :premises (@p927)) % 114.33/114.63 (step-pop @p997 :rule scope :premises (@p996)) % 114.33/114.63 (step-pop @p998 :rule scope :premises (@p997)) % 114.33/114.63 (step-pop @p999 :rule scope :premises (@p998)) % 114.33/114.63 (step-pop @p1000 :rule scope :premises (@p999)) % 114.33/114.63 (step-pop @p1001 :rule scope :premises (@p1000)) % 114.33/114.63 (step @p928 :rule process_scope :premises (@p1001) :args (false)) % 114.33/114.63 (assume-push @p1002 @t365) % 114.33/114.63 (assume-push @p1003 @t556) % 114.33/114.63 (assume-push @p1004 @t543) % 114.33/114.63 (assume-push @p1005 @t551) % 114.33/114.63 (assume-push @p1006 @t548) % 114.33/114.63 (assume-push @p1007 @t509) % 114.33/114.63 (step @p941 :rule and_intro :premises (@p890 @p798 @p1003 @p882 @p871 @p900)) % 114.33/114.63 (step-pop @p1008 :rule scope :premises (@p941)) % 114.33/114.63 (step-pop @p1009 :rule scope :premises (@p1008)) % 114.33/114.63 (step-pop @p1010 :rule scope :premises (@p1009)) % 114.33/114.63 (step-pop @p1011 :rule scope :premises (@p1010)) % 114.33/114.63 (step-pop @p1012 :rule scope :premises (@p1011)) % 114.33/114.63 (step-pop @p1013 :rule scope :premises (@p1012)) % 114.33/114.63 (step @p942 :rule process_scope :premises (@p1013) :args (@t558)) % 114.33/114.63 (step @p949 :rule implies_elim :premises (@p942)) % 114.33/114.63 (step @p950 :rule resolution :premises (@p949 @p928) :args (true @t558)) % 114.33/114.63 (step @p951 :rule not_and :premises (@p950)) % 114.33/114.63 (step @p952 :rule eq_resolve :premises (@p951 @p907)) % 114.33/114.63 (step @p953 :rule reordering :premises (@p952) :args ((or @t366 @t557 @t554 @t547 @t555 @t553))) % 114.33/114.63 (step @p954 :rule chain_m_resolution :premises (@p953 @p871 @p900 @p890 @p882 @p798) :args (@t557 (@list false false true false false) (@list @t365 @t551 @t547 @t543 @t509))) % 114.33/114.63 (step @p955 :rule refl :args (@t540)) % 114.33/114.63 (step @p956 :rule bool-double-not-elim :args (@t556)) % 114.33/114.63 (step @p957 :rule refl :args (@t560)) % 114.33/114.63 (step @p958 :rule nary_cong :premises (@p957 @p956 @p955) :args ((or @t560 (not @t557) @t540))) % 114.33/114.63 (step @p959 :rule cnf_equiv_pos1 :args (@t559)) % 114.33/114.63 (step @p960 :rule eq_resolve :premises (@p959 @p958)) % 114.33/114.63 (step @p961 :rule reordering :premises (@p960) :args ((or @t556 @t540 @t560))) % 114.33/114.63 (step @p962 :rule chain_m_resolution :premises (@p961 @p954 @p878) :args (@t560 (@list true true) (@list @t556 @t540))) % 114.33/114.63 (step @p963 :rule eq-symm :args (@t540 @t557)) % 114.33/114.63 (step @p964 :rule eq-symm :args (@t177 tptp.nil)) % 114.33/114.63 (step @p965 :rule cong :premises (@p964) :args (@t561)) % 114.33/114.63 (step @p966 :rule cong :premises (@p955 @p965) :args (@t562)) % 114.33/114.63 (step @p967 :rule trans :premises (@p966 @p963)) % 114.33/114.63 (step @p968 :rule nary_cong :premises (@p741 @p155 @p967) :args (@t563)) % 114.33/114.63 (step @p969 :rule cong :premises (@p157 @p968) :args ((=> @t208 @t563))) % 114.33/114.63 (assume-push @p1014 @t208) % 114.33/114.63 (step @p971 :rule instantiate :premises (@p151) :args ((@list @t177 tptp.nil))) % 114.33/114.63 (step-pop @p1015 :rule scope :premises (@p971)) % 114.33/114.63 (step @p972 :rule process_scope :premises (@p1015) :args (@t563)) % 114.33/114.63 (step @p974 :rule eq_resolve :premises (@p972 @p969)) % 114.33/114.63 (step @p975 :rule implies_elim :premises (@p974)) % 114.33/114.63 (step @p976 :rule chain_m_resolution :premises (@p975 @p151) :args (@t564 @t187 @t212)) % 114.33/114.63 (step @p977 :rule cnf_or_pos :args (@t564)) % 114.33/114.63 (step @p978 :rule reordering :premises (@p977) :args ((or @t206 @t441 @t559 (not @t564)))) % 114.33/114.63 (step @p979 false :rule chain_m_resolution :premises (@p978 @p976 @p962 @p549 @p17) :args (false (@list false true false false) (@list @t564 @t559 @t178 @t45))) % 114.33/114.63 ) % 114.33/114.63 % SZS output end Proof % 114.33/114.63 % cvc5 exiting %------------------------------------------------------------------------------