%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC376+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 : n024.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 08:59:04 AM UTC 2026 % Result : Theorem 27.96s 28.35s % Output : Proof 27.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC376+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.24 % Computer : n024.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.24 % CPULimit : 300 % 0.07/0.24 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:44:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 27.96/28.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.96/28.35 --- Run --no-e-matching --full-saturate-quant at 6... % 27.96/28.35 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.96/28.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.96/28.35 % SZS status Theorem % 27.96/28.35 % SZS output start Proof % 27.96/28.35 ( % 27.96/28.35 (declare-sort $$unsorted 0) % 27.96/28.35 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 27.96/28.35 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 27.96/28.35 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 27.96/28.35 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 27.96/28.35 (declare-const tptp.nil $$unsorted) % 27.96/28.35 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.ssList (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 27.96/28.35 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 27.96/28.35 (define @t1 () (@var "V" $$unsorted)) % 27.96/28.35 (define @t2 () (@var "U" $$unsorted)) % 27.96/28.35 (define @t3 () (= @t2 @t1)) % 27.96/28.35 (define @t4 () (not @t3)) % 27.96/28.35 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 27.96/28.35 (define @t6 () (tptp.ssItem @t1)) % 27.96/28.35 (define @t7 () (@list @t1)) % 27.96/28.35 (define @t8 () (tptp.ssItem @t2)) % 27.96/28.35 (define @t9 () (@list @t2)) % 27.96/28.35 (define @t10 () (@var "X" $$unsorted)) % 27.96/28.35 (define @t11 () (tptp.cons @t1 @t10)) % 27.96/28.35 (define @t12 () (@var "W" $$unsorted)) % 27.96/28.35 (define @t13 () (tptp.ssList @t10)) % 27.96/28.35 (define @t14 () (@list @t10)) % 27.96/28.35 (define @t15 () (tptp.ssList @t12)) % 27.96/28.35 (define @t16 () (@list @t12)) % 27.96/28.35 (define @t17 () (tptp.ssList @t2)) % 27.96/28.35 (define @t18 () (tptp.cons @t1 tptp.nil)) % 27.96/28.35 (define @t19 () (tptp.app @t1 @t12)) % 27.96/28.35 (define @t20 () (tptp.frontsegP @t2 @t1)) % 27.96/28.35 (define @t21 () (tptp.ssList @t1)) % 27.96/28.35 (define @t22 () (tptp.app @t12 @t1)) % 27.96/28.35 (define @t23 () (tptp.rearsegP @t2 @t1)) % 27.96/28.35 (define @t24 () (tptp.segmentP @t2 @t1)) % 27.96/28.35 (define @t25 () (tptp.leq @t12 @t1)) % 27.96/28.35 (define @t26 () (tptp.leq @t1 @t12)) % 27.96/28.35 (define @t27 () (@var "Z" $$unsorted)) % 27.96/28.35 (define @t28 () (@var "Y" $$unsorted)) % 27.96/28.35 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 27.96/28.35 (define @t30 () (tptp.ssList @t27)) % 27.96/28.35 (define @t31 () (@list @t27)) % 27.96/28.35 (define @t32 () (tptp.ssList @t28)) % 27.96/28.35 (define @t33 () (@list @t28)) % 27.96/28.35 (define @t34 () (tptp.ssItem @t12)) % 27.96/28.35 (define @t35 () (tptp.lt @t1 @t12)) % 27.96/28.35 (define @t36 () (= @t1 @t12)) % 27.96/28.35 (define @t37 () (forall @t7 (=> @t21 @t5))) % 27.96/28.35 (define @t38 () (=> @t17 @t37)) % 27.96/28.35 (define @t39 () (forall @t9 @t38)) % 27.96/28.35 (define @t40 () (tptp.cons @t1 @t2)) % 27.96/28.35 (define @t41 () (tptp.ssList @t40)) % 27.96/28.35 (define @t42 () (forall @t7 (=> @t6 @t41))) % 27.96/28.35 (define @t43 () (=> @t17 @t42)) % 27.96/28.35 (define @t44 () (forall @t9 @t43)) % 27.96/28.35 (define @t45 () (tptp.ssList tptp.nil)) % 27.96/28.35 (define @t46 () (= @t1 @t2)) % 27.96/28.35 (define @t47 () (tptp.cons @t12 @t1)) % 27.96/28.35 (define @t48 () (= tptp.nil @t2)) % 27.96/28.35 (define @t49 () (tptp.hd @t2)) % 27.96/28.35 (define @t50 () (tptp.ssItem @t49)) % 27.96/28.35 (define @t51 () (not @t48)) % 27.96/28.35 (define @t52 () (=> @t51 @t50)) % 27.96/28.35 (define @t53 () (=> @t17 @t52)) % 27.96/28.35 (define @t54 () (forall @t9 @t53)) % 27.96/28.35 (define @t55 () (tptp.tl @t2)) % 27.96/28.35 (define @t56 () (tptp.ssList @t55)) % 27.96/28.35 (define @t57 () (=> @t51 @t56)) % 27.96/28.35 (define @t58 () (=> @t17 @t57)) % 27.96/28.35 (define @t59 () (forall @t9 @t58)) % 27.96/28.35 (define @t60 () (tptp.app @t2 @t1)) % 27.96/28.35 (define @t61 () (tptp.ssList @t60)) % 27.96/28.35 (define @t62 () (forall @t7 (=> @t21 @t61))) % 27.96/28.35 (define @t63 () (=> @t17 @t62)) % 27.96/28.35 (define @t64 () (forall @t9 @t63)) % 27.96/28.35 (define @t65 () (tptp.app @t1 @t2)) % 27.96/28.35 (define @t66 () (tptp.leq @t1 @t2)) % 27.96/28.35 (define @t67 () (tptp.leq @t2 @t1)) % 27.96/28.35 (define @t68 () (tptp.geq @t2 @t1)) % 27.96/28.35 (define @t69 () (tptp.lt @t1 @t2)) % 27.96/28.35 (define @t70 () (tptp.lt @t2 @t1)) % 27.96/28.35 (define @t71 () (tptp.lt @t2 @t12)) % 27.96/28.35 (define @t72 () (tptp.gt @t2 @t1)) % 27.96/28.35 (define @t73 () (tptp.memberP @t12 @t2)) % 27.96/28.35 (define @t74 () (tptp.memberP @t1 @t2)) % 27.96/28.35 (define @t75 () (= (tptp.memberP @t19 @t2) (or @t74 @t73))) % 27.96/28.35 (define @t76 () (forall @t16 (=> @t15 @t75))) % 27.96/28.35 (define @t77 () (=> @t21 @t76)) % 27.96/28.35 (define @t78 () (forall @t7 @t77)) % 27.96/28.35 (define @t79 () (=> @t8 @t78)) % 27.96/28.35 (define @t80 () (forall @t9 @t79)) % 27.96/28.35 (define @t81 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73))) % 27.96/28.35 (define @t82 () (forall @t16 (=> @t15 @t81))) % 27.96/28.35 (define @t83 () (=> @t6 @t82)) % 27.96/28.35 (define @t84 () (forall @t7 @t83)) % 27.96/28.35 (define @t85 () (=> @t8 @t84)) % 27.96/28.35 (define @t86 () (forall @t9 @t85)) % 27.96/28.35 (define @t87 () (not (tptp.memberP tptp.nil @t2))) % 27.96/28.35 (define @t88 () (forall @t9 (=> @t8 @t87))) % 27.96/28.35 (define @t89 () (tptp.app @t12 @t2)) % 27.96/28.35 (define @t90 () (tptp.cons @t2 tptp.nil)) % 27.96/28.35 (define @t91 () (tptp.hd @t1)) % 27.96/28.35 (define @t92 () (= tptp.nil @t1)) % 27.96/28.35 (define @t93 () (not @t92)) % 27.96/28.35 (define @t94 () (tptp.cons @t2 @t1)) % 27.96/28.35 (define @t95 () (tptp.cons @t49 @t55)) % 27.96/28.35 (define @t96 () (=> @t51 (= @t95 @t2))) % 27.96/28.35 (define @t97 () (=> @t17 @t96)) % 27.96/28.35 (define @t98 () (forall @t9 @t97)) % 27.96/28.35 (define @t99 () (= @t12 @t2)) % 27.96/28.35 (define @t100 () (tptp.neq tptp.nil @t12)) % 27.96/28.35 (define @t101 () (@var "X3" $$unsorted)) % 27.96/28.35 (define @t102 () (tptp.hd @t12)) % 27.96/28.35 (define @t103 () (@var "X2" $$unsorted)) % 27.96/28.35 (define @t104 () (tptp.cons @t101 tptp.nil)) % 27.96/28.35 (define @t105 () (tptp.ssItem @t101)) % 27.96/28.35 (define @t106 () (and @t105 (= @t104 @t103) (= @t102 @t101) @t100)) % 27.96/28.35 (define @t107 () (@list @t101)) % 27.96/28.35 (define @t108 () (exists @t107 @t106)) % 27.96/28.35 (define @t109 () (@var "X1" $$unsorted)) % 27.96/28.35 (define @t110 () (tptp.app @t109 @t103)) % 27.96/28.35 (define @t111 () (tptp.tl @t12)) % 27.96/28.35 (define @t112 () (tptp.ssList @t103)) % 27.96/28.35 (define @t113 () (and @t112 (= @t111 @t109) (= @t110 @t27) @t108 @t100)) % 27.96/28.35 (define @t114 () (@list @t103)) % 27.96/28.35 (define @t115 () (exists @t114 @t113)) % 27.96/28.35 (define @t116 () (tptp.ssList @t109)) % 27.96/28.35 (define @t117 () (and @t116 @t115)) % 27.96/28.35 (define @t118 () (@list @t109)) % 27.96/28.35 (define @t119 () (exists @t118 @t117)) % 27.96/28.35 (define @t120 () (= @t10 @t27)) % 27.96/28.35 (define @t121 () (not @t120)) % 27.96/28.35 (define @t122 () (and @t30 @t121 @t119)) % 27.96/28.35 (define @t123 () (exists @t31 @t122)) % 27.96/28.35 (define @t124 () (not (tptp.neq @t12 tptp.nil))) % 27.96/28.35 (define @t125 () (or @t124 @t123)) % 27.96/28.35 (define @t126 () (tptp.neq @t10 tptp.nil)) % 27.96/28.35 (define @t127 () (and @t126 @t125)) % 27.96/28.35 (define @t128 () (not (= tptp.nil @t12))) % 27.96/28.35 (define @t129 () (and @t128 (= tptp.nil @t10))) % 27.96/28.35 (define @t130 () (tptp.memberP @t2 @t28)) % 27.96/28.35 (define @t131 () (tptp.memberP @t1 @t28)) % 27.96/28.35 (define @t132 () (and @t131 @t130)) % 27.96/28.35 (define @t133 () (and (not @t131) (not @t130))) % 27.96/28.35 (define @t134 () (or @t133 @t132)) % 27.96/28.35 (define @t135 () (tptp.ssItem @t28)) % 27.96/28.35 (define @t136 () (forall @t33 (=> @t135 @t134))) % 27.96/28.35 (define @t137 () (not (= @t2 @t12))) % 27.96/28.35 (define @t138 () (not (= @t1 @t10))) % 27.96/28.35 (define @t139 () (or @t138 @t137 @t136 @t129 @t127)) % 27.96/28.35 (define @t140 () (=> @t13 @t139)) % 27.96/28.35 (define @t141 () (forall @t14 @t140)) % 27.96/28.35 (define @t142 () (=> @t15 @t141)) % 27.96/28.35 (define @t143 () (forall @t16 @t142)) % 27.96/28.35 (define @t144 () (=> @t21 @t143)) % 27.96/28.35 (define @t145 () (forall @t7 @t144)) % 27.96/28.35 (define @t146 () (=> @t17 @t145)) % 27.96/28.35 (define @t147 () (forall @t9 @t146)) % 27.96/28.35 (define @t148 () (not @t147)) % 27.96/28.35 (define @t149 () (@var "BOUND_VARIABLE_9733" $$unsorted)) % 27.96/28.35 (define @t150 () (@var "BOUND_VARIABLE_9731" $$unsorted)) % 27.96/28.35 (define @t151 () (= (tptp.memberP (tptp.cons @t150 @t149) @t2) (or (= @t2 @t150) (tptp.memberP @t149 @t2)))) % 27.96/28.35 (define @t152 () (not (tptp.ssList @t149))) % 27.96/28.35 (define @t153 () (not (tptp.ssItem @t150))) % 27.96/28.35 (define @t154 () (not @t8)) % 27.96/28.35 (define @t155 () (or @t153 @t152 @t151)) % 27.96/28.35 (define @t156 () (or @t154 @t155)) % 27.96/28.35 (define @t157 () (forall (@list @t2 @t150 @t149) @t156)) % 27.96/28.35 (define @t158 () (@list @t150 @t149)) % 27.96/28.35 (define @t159 () (forall @t158 @t156)) % 27.96/28.35 (define @t160 () (forall @t158 @t155)) % 27.96/28.35 (define @t161 () (@var "BOUND_VARIABLE_9712" $$unsorted)) % 27.96/28.35 (define @t162 () (or @t154 @t160)) % 27.96/28.35 (define @t163 () (= (tptp.memberP (tptp.cons @t1 @t161) @t2) (or @t3 (tptp.memberP @t161 @t2)))) % 27.96/28.35 (define @t164 () (not (tptp.ssList @t161))) % 27.96/28.35 (define @t165 () (not @t6)) % 27.96/28.35 (define @t166 () (or @t165 @t164 @t163)) % 27.96/28.35 (define @t167 () (@list @t1 @t161)) % 27.96/28.35 (define @t168 () (forall @t167 @t166)) % 27.96/28.35 (define @t169 () (or @t164 @t163)) % 27.96/28.35 (define @t170 () (or @t165 @t169)) % 27.96/28.35 (define @t171 () (forall @t167 @t170)) % 27.96/28.35 (define @t172 () (@list @t161)) % 27.96/28.35 (define @t173 () (forall @t172 @t170)) % 27.96/28.35 (define @t174 () (forall @t172 @t169)) % 27.96/28.35 (define @t175 () (@list @t12)) % 27.96/28.35 (define @t176 () (or @t165 @t174)) % 27.96/28.35 (define @t177 () (not @t15)) % 27.96/28.35 (define @t178 () (forall @t16 (or @t177 @t81))) % 27.96/28.35 (define @t179 () (@var "BOUND_VARIABLE_11149" $$unsorted)) % 27.96/28.35 (define @t180 () (tptp.memberP @t2 @t179)) % 27.96/28.35 (define @t181 () (@var "BOUND_VARIABLE_11147" $$unsorted)) % 27.96/28.35 (define @t182 () (tptp.memberP @t181 @t179)) % 27.96/28.35 (define @t183 () (and @t182 @t180)) % 27.96/28.35 (define @t184 () (and (not @t182) (not @t180))) % 27.96/28.35 (define @t185 () (not (tptp.ssItem @t179))) % 27.96/28.35 (define @t186 () (tptp.cons @t49 tptp.nil)) % 27.96/28.35 (define @t187 () (tptp.app @t55 @t186)) % 27.96/28.35 (define @t188 () (tptp.ssList @t187)) % 27.96/28.35 (define @t189 () (tptp.ssList @t186)) % 27.96/28.35 (define @t190 () (tptp.neq tptp.nil @t2)) % 27.96/28.35 (define @t191 () (not (tptp.neq @t2 tptp.nil))) % 27.96/28.35 (define @t192 () (tptp.neq @t181 tptp.nil)) % 27.96/28.35 (define @t193 () (= @t2 tptp.nil)) % 27.96/28.35 (define @t194 () (not @t193)) % 27.96/28.35 (define @t195 () (not (tptp.ssList @t181))) % 27.96/28.35 (define @t196 () (not @t17)) % 27.96/28.35 (define @t197 () (@list @t2 @t181 @t179)) % 27.96/28.35 (define @t198 () (forall @t197 (or @t196 @t195 (and @t194 (= tptp.nil @t181)) (and @t192 (or @t191 (and @t190 @t50 @t189 @t56 @t188 (not (= @t187 @t181))))) @t185 @t184 @t183))) % 27.96/28.35 (define @t199 () (@quantifiers_skolemize @t198 0)) % 27.96/28.35 (define @t200 () (tptp.tl @t199)) % 27.96/28.35 (define @t201 () (tptp.hd @t199)) % 27.96/28.35 (define @t202 () (@quantifiers_skolemize @t198 2)) % 27.96/28.35 (define @t203 () (or @t196 @t193 @t56)) % 27.96/28.35 (define @t204 () (not @t194)) % 27.96/28.35 (define @t205 () (=> @t194 @t56)) % 27.96/28.35 (define @t206 () (tptp.ssList @t200)) % 27.96/28.35 (define @t207 () (tptp.ssList @t199)) % 27.96/28.35 (define @t208 () (not @t207)) % 27.96/28.35 (define @t209 () (= @t199 tptp.nil)) % 27.96/28.35 (define @t210 () (or @t208 @t209 @t206)) % 27.96/28.35 (define @t211 () (forall @t9 @t203)) % 27.96/28.35 (define @t212 () (@list @t199)) % 27.96/28.35 (define @t213 () (= tptp.nil @t199)) % 27.96/28.35 (define @t214 () (or @t208 @t213 @t206)) % 27.96/28.35 (define @t215 () (@list false)) % 27.96/28.35 (define @t216 () (@var "BOUND_VARIABLE_9134" $$unsorted)) % 27.96/28.35 (define @t217 () (= (tptp.neq @t2 @t216) (not (= @t2 @t216)))) % 27.96/28.35 (define @t218 () (not (tptp.ssList @t216))) % 27.96/28.35 (define @t219 () (or @t196 @t218 @t217)) % 27.96/28.35 (define @t220 () (or @t218 @t217)) % 27.96/28.35 (define @t221 () (or @t196 @t220)) % 27.96/28.35 (define @t222 () (@list @t2 @t216)) % 27.96/28.35 (define @t223 () (forall @t222 @t221)) % 27.96/28.35 (define @t224 () (@list @t216)) % 27.96/28.35 (define @t225 () (forall @t224 @t221)) % 27.96/28.35 (define @t226 () (forall @t224 @t220)) % 27.96/28.35 (define @t227 () (@list @t1)) % 27.96/28.35 (define @t228 () (or @t196 @t226)) % 27.96/28.35 (define @t229 () (not @t21)) % 27.96/28.35 (define @t230 () (forall @t7 (or @t229 @t5))) % 27.96/28.35 (define @t231 () (tptp.neq tptp.nil tptp.nil)) % 27.96/28.35 (define @t232 () (not (= tptp.nil tptp.nil))) % 27.96/28.35 (define @t233 () (= @t231 @t232)) % 27.96/28.35 (define @t234 () (not @t45)) % 27.96/28.35 (define @t235 () (or @t234 @t234 @t233)) % 27.96/28.35 (define @t236 () (forall @t222 @t219)) % 27.96/28.35 (define @t237 () (not @t231)) % 27.96/28.35 (define @t238 () (or @t234 @t234 @t237)) % 27.96/28.35 (define @t239 () (@list @t236)) % 27.96/28.35 (define @t240 () (@list false false)) % 27.96/28.35 (define @t241 () (tptp.neq @t199 tptp.nil)) % 27.96/28.35 (define @t242 () (not @t241)) % 27.96/28.35 (define @t243 () (not @t213)) % 27.96/28.35 (define @t244 () (and @t213 @t237)) % 27.96/28.35 (define @t245 () (tptp.cons @t201 tptp.nil)) % 27.96/28.35 (define @t246 () (tptp.app @t200 @t245)) % 27.96/28.35 (define @t247 () (@quantifiers_skolemize @t198 1)) % 27.96/28.35 (define @t248 () (= @t247 @t246)) % 27.96/28.35 (define @t249 () (not @t248)) % 27.96/28.35 (define @t250 () (tptp.ssList @t246)) % 27.96/28.35 (define @t251 () (tptp.ssList @t245)) % 27.96/28.35 (define @t252 () (tptp.ssItem @t201)) % 27.96/28.35 (define @t253 () (tptp.neq tptp.nil @t199)) % 27.96/28.35 (define @t254 () (and @t253 @t252 @t251 @t206 @t250 @t249)) % 27.96/28.35 (define @t255 () (or @t242 @t254)) % 27.96/28.35 (define @t256 () (not (= @t181 @t187))) % 27.96/28.35 (define @t257 () (and @t190 @t50 @t189 @t56 @t188 @t256)) % 27.96/28.35 (define @t258 () (or @t191 @t257)) % 27.96/28.35 (define @t259 () (and @t192 @t258)) % 27.96/28.35 (define @t260 () (and @t194 (= @t181 tptp.nil))) % 27.96/28.35 (define @t261 () (or @t196 @t195 @t260 @t259 @t185 @t184 @t183)) % 27.96/28.35 (define @t262 () (or @t195 @t260 @t259 @t185 @t184 @t183)) % 27.96/28.35 (define @t263 () (or @t196 @t262)) % 27.96/28.35 (define @t264 () (forall @t197 @t263)) % 27.96/28.35 (define @t265 () (@list @t181 @t179)) % 27.96/28.35 (define @t266 () (forall @t265 @t263)) % 27.96/28.35 (define @t267 () (forall @t265 @t262)) % 27.96/28.35 (define @t268 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 27.96/28.35 (define @t269 () (or @t196 @t267)) % 27.96/28.35 (define @t270 () (tptp.memberP @t2 @t268)) % 27.96/28.35 (define @t271 () (tptp.memberP @t1 @t268)) % 27.96/28.35 (define @t272 () (and @t271 @t270)) % 27.96/28.35 (define @t273 () (and (not @t271) (not @t270))) % 27.96/28.35 (define @t274 () (not (tptp.ssItem @t268))) % 27.96/28.35 (define @t275 () (tptp.neq @t1 tptp.nil)) % 27.96/28.35 (define @t276 () (and @t275 (or @t191 (and @t190 @t50 @t189 @t56 @t188 (not (= @t1 @t187)))))) % 27.96/28.35 (define @t277 () (= @t1 tptp.nil)) % 27.96/28.35 (define @t278 () (and @t194 @t277)) % 27.96/28.35 (define @t279 () (or @t229 @t278 @t276 @t274 @t273 @t272)) % 27.96/28.35 (define @t280 () (@list @t1 @t268)) % 27.96/28.35 (define @t281 () (or @t196 (forall @t280 @t279))) % 27.96/28.35 (define @t282 () (or @t274 @t273 @t272)) % 27.96/28.35 (define @t283 () (or @t229 @t282 @t278 @t276)) % 27.96/28.35 (define @t284 () (forall @t280 @t283)) % 27.96/28.35 (define @t285 () (@list @t268)) % 27.96/28.35 (define @t286 () (forall @t285 @t283)) % 27.96/28.35 (define @t287 () (forall @t285 @t282)) % 27.96/28.35 (define @t288 () (or @t229 @t287 @t278 @t276)) % 27.96/28.35 (define @t289 () (not @t135)) % 27.96/28.35 (define @t290 () (or @t289 @t133 @t132)) % 27.96/28.35 (define @t291 () (forall @t33 @t290)) % 27.96/28.35 (define @t292 () (or @t229 @t291 @t278 @t276)) % 27.96/28.35 (define @t293 () (forall @t7 @t292)) % 27.96/28.35 (define @t294 () (or @t196 @t293)) % 27.96/28.35 (define @t295 () (or @t196 @t292)) % 27.96/28.35 (define @t296 () (or @t229 @t291 @t196 @t278 @t276)) % 27.96/28.35 (define @t297 () (or @t291 @t229 @t196 @t278 @t276)) % 27.96/28.35 (define @t298 () (or @t196 @t278 @t276)) % 27.96/28.35 (define @t299 () (not (= @t2 @t2))) % 27.96/28.35 (define @t300 () (or @t196 @t299 @t278 @t276)) % 27.96/28.35 (define @t301 () (tptp.cons @t102 tptp.nil)) % 27.96/28.35 (define @t302 () (tptp.app @t111 @t301)) % 27.96/28.35 (define @t303 () (tptp.ssList @t302)) % 27.96/28.35 (define @t304 () (tptp.ssList @t111)) % 27.96/28.35 (define @t305 () (tptp.ssList @t301)) % 27.96/28.35 (define @t306 () (tptp.ssItem @t102)) % 27.96/28.35 (define @t307 () (and @t275 (or @t124 (and @t100 @t306 @t305 @t304 @t303 (not (= @t1 @t302)))))) % 27.96/28.35 (define @t308 () (not (= @t12 tptp.nil))) % 27.96/28.35 (define @t309 () (and @t308 @t277)) % 27.96/28.35 (define @t310 () (or @t137 @t177 @t137 @t309 @t307)) % 27.96/28.35 (define @t311 () (or @t177 @t137 @t309 @t307)) % 27.96/28.35 (define @t312 () (forall @t16 @t311)) % 27.96/28.35 (define @t313 () (or @t291 @t229 @t312)) % 27.96/28.35 (define @t314 () (or @t291 @t229 @t311)) % 27.96/28.35 (define @t315 () (or @t177 @t137 @t291 @t229 @t309 @t307)) % 27.96/28.35 (define @t316 () (or @t137 @t291 @t229 @t309 @t307)) % 27.96/28.35 (define @t317 () (or @t229 @t309 @t307)) % 27.96/28.35 (define @t318 () (not (= @t1 @t1))) % 27.96/28.35 (define @t319 () (or @t229 @t318 @t309 @t307)) % 27.96/28.35 (define @t320 () (= @t10 @t302)) % 27.96/28.35 (define @t321 () (not @t320)) % 27.96/28.35 (define @t322 () (and @t126 (or @t124 (and @t100 @t306 @t305 @t304 @t303 @t321)))) % 27.96/28.35 (define @t323 () (and @t308 (= @t10 tptp.nil))) % 27.96/28.35 (define @t324 () (not @t13)) % 27.96/28.35 (define @t325 () (or @t138 @t324 @t138 @t323 @t322)) % 27.96/28.35 (define @t326 () (or @t324 @t138 @t323 @t322)) % 27.96/28.35 (define @t327 () (forall @t14 @t326)) % 27.96/28.35 (define @t328 () (or @t137 @t291 @t327)) % 27.96/28.35 (define @t329 () (or @t137 @t291 @t326)) % 27.96/28.35 (define @t330 () (or @t324 @t138 @t137 @t291 @t323 @t322)) % 27.96/28.35 (define @t331 () (not @t303)) % 27.96/28.35 (define @t332 () (not @t331)) % 27.96/28.35 (define @t333 () (not @t304)) % 27.96/28.35 (define @t334 () (not @t333)) % 27.96/28.35 (define @t335 () (not @t305)) % 27.96/28.35 (define @t336 () (not @t335)) % 27.96/28.35 (define @t337 () (not @t306)) % 27.96/28.35 (define @t338 () (not @t337)) % 27.96/28.35 (define @t339 () (not @t100)) % 27.96/28.35 (define @t340 () (not @t339)) % 27.96/28.35 (define @t341 () (and @t340 @t338 @t336 @t334 @t332 @t321)) % 27.96/28.35 (define @t342 () (or @t331 @t320)) % 27.96/28.35 (define @t343 () (or @t339 @t337 @t335 @t333 @t331 @t320)) % 27.96/28.35 (define @t344 () (or @t124 (not @t343))) % 27.96/28.35 (define @t345 () (and @t126 @t344)) % 27.96/28.35 (define @t346 () (or @t138 @t137 @t291 @t323 @t345)) % 27.96/28.35 (define @t347 () (not (= @t302 @t302))) % 27.96/28.35 (define @t348 () (or @t331 @t320 @t347)) % 27.96/28.35 (define @t349 () (not (= @t27 @t302))) % 27.96/28.35 (define @t350 () (not @t30)) % 27.96/28.35 (define @t351 () (or @t349 @t350 @t120 @t349)) % 27.96/28.35 (define @t352 () (or @t350 @t120 @t349)) % 27.96/28.35 (define @t353 () (forall @t31 @t352)) % 27.96/28.35 (define @t354 () (or @t339 @t337 @t335 @t333 @t353)) % 27.96/28.35 (define @t355 () (or @t339 @t337 @t335 @t333 @t352)) % 27.96/28.35 (define @t356 () (or @t350 @t120 @t339 @t337 @t335 @t333 @t349)) % 27.96/28.35 (define @t357 () (or @t339 @t337 @t335 @t333 @t349)) % 27.96/28.35 (define @t358 () (not @t357)) % 27.96/28.35 (define @t359 () (not @t358)) % 27.96/28.35 (define @t360 () (not @t121)) % 27.96/28.35 (define @t361 () (or @t350 @t360 @t359)) % 27.96/28.35 (define @t362 () (and @t30 @t121 @t358)) % 27.96/28.35 (define @t363 () (forall @t31 (not @t362))) % 27.96/28.35 (define @t364 () (not @t363)) % 27.96/28.35 (define @t365 () (or @t333 @t349)) % 27.96/28.35 (define @t366 () (not (= @t111 @t111))) % 27.96/28.35 (define @t367 () (or @t333 @t366 @t349)) % 27.96/28.35 (define @t368 () (not (= @t27 (tptp.app @t109 @t301)))) % 27.96/28.35 (define @t369 () (= @t109 @t111)) % 27.96/28.35 (define @t370 () (not @t369)) % 27.96/28.35 (define @t371 () (not @t116)) % 27.96/28.35 (define @t372 () (or @t370 @t371 @t370 @t368)) % 27.96/28.35 (define @t373 () (or @t371 @t370 @t368)) % 27.96/28.35 (define @t374 () (forall @t118 @t373)) % 27.96/28.35 (define @t375 () (or @t339 @t337 @t335 @t374)) % 27.96/28.35 (define @t376 () (or @t339 @t337 @t335 @t373)) % 27.96/28.35 (define @t377 () (or @t371 @t370 @t339 @t337 @t335 @t368)) % 27.96/28.35 (define @t378 () (or @t370 @t339 @t337 @t335 @t368)) % 27.96/28.35 (define @t379 () (not @t378)) % 27.96/28.35 (define @t380 () (and @t116 @t379)) % 27.96/28.35 (define @t381 () (forall @t118 (not @t380))) % 27.96/28.35 (define @t382 () (not @t381)) % 27.96/28.35 (define @t383 () (or @t335 @t368)) % 27.96/28.35 (define @t384 () (not (= @t301 @t301))) % 27.96/28.35 (define @t385 () (or @t335 @t368 @t384)) % 27.96/28.35 (define @t386 () (not (= @t103 @t301))) % 27.96/28.35 (define @t387 () (= @t27 @t110)) % 27.96/28.35 (define @t388 () (not @t387)) % 27.96/28.35 (define @t389 () (not @t112)) % 27.96/28.35 (define @t390 () (or @t386 @t389 @t388 @t386)) % 27.96/28.35 (define @t391 () (or @t389 @t388 @t386)) % 27.96/28.35 (define @t392 () (forall @t114 @t391)) % 27.96/28.35 (define @t393 () (or @t370 @t339 @t337 @t392)) % 27.96/28.35 (define @t394 () (or @t370 @t339 @t337 @t391)) % 27.96/28.35 (define @t395 () (or @t389 @t370 @t388 @t339 @t337 @t386)) % 27.96/28.35 (define @t396 () (or @t339 @t337 @t386)) % 27.96/28.35 (define @t397 () (not @t396)) % 27.96/28.35 (define @t398 () (not @t397)) % 27.96/28.35 (define @t399 () (or @t389 @t370 @t388 @t398 @t339)) % 27.96/28.35 (define @t400 () (and @t112 @t369 @t387 @t397 @t100)) % 27.96/28.35 (define @t401 () (forall @t114 (not @t400))) % 27.96/28.35 (define @t402 () (not @t401)) % 27.96/28.35 (define @t403 () (or @t337 @t386)) % 27.96/28.35 (define @t404 () (not (= @t102 @t102))) % 27.96/28.35 (define @t405 () (or @t337 @t386 @t404)) % 27.96/28.35 (define @t406 () (= @t101 @t102)) % 27.96/28.35 (define @t407 () (not @t406)) % 27.96/28.35 (define @t408 () (= @t103 @t104)) % 27.96/28.35 (define @t409 () (not @t408)) % 27.96/28.35 (define @t410 () (not @t105)) % 27.96/28.35 (define @t411 () (or @t407 @t410 @t409 @t407)) % 27.96/28.35 (define @t412 () (or @t410 @t409 @t407)) % 27.96/28.35 (define @t413 () (forall @t107 @t412)) % 27.96/28.35 (define @t414 () (or @t339 @t413)) % 27.96/28.35 (define @t415 () (or @t339 @t412)) % 27.96/28.35 (define @t416 () (or @t410 @t409 @t407 @t339)) % 27.96/28.35 (define @t417 () (and @t105 @t408 @t406 @t100)) % 27.96/28.35 (define @t418 () (forall @t107 (not @t417))) % 27.96/28.35 (define @t419 () (not @t418)) % 27.96/28.35 (define @t420 () (tptp.memberP @t199 @t202)) % 27.96/28.35 (define @t421 () (tptp.memberP @t247 @t202)) % 27.96/28.35 (define @t422 () (and @t421 @t420)) % 27.96/28.35 (define @t423 () (not @t420)) % 27.96/28.35 (define @t424 () (not @t421)) % 27.96/28.35 (define @t425 () (and @t424 @t423)) % 27.96/28.35 (define @t426 () (tptp.ssItem @t202)) % 27.96/28.35 (define @t427 () (not @t426)) % 27.96/28.35 (define @t428 () (tptp.neq @t247 tptp.nil)) % 27.96/28.35 (define @t429 () (and @t428 @t255)) % 27.96/28.35 (define @t430 () (= tptp.nil @t247)) % 27.96/28.35 (define @t431 () (and @t243 @t430)) % 27.96/28.35 (define @t432 () (tptp.ssList @t247)) % 27.96/28.35 (define @t433 () (not @t432)) % 27.96/28.35 (define @t434 () (or @t208 @t433 @t431 @t429 @t427 @t425 @t422)) % 27.96/28.35 (define @t435 () (not @t434)) % 27.96/28.35 (define @t436 () (not @t198)) % 27.96/28.35 (define @t437 () (not (= @t246 @t247))) % 27.96/28.35 (define @t438 () (and @t253 @t252 @t251 @t206 @t250 @t437)) % 27.96/28.35 (define @t439 () (or @t242 @t438)) % 27.96/28.35 (define @t440 () (and @t428 @t439)) % 27.96/28.35 (define @t441 () (not @t209)) % 27.96/28.35 (define @t442 () (and @t441 @t430)) % 27.96/28.35 (define @t443 () (or @t208 @t433 @t442 @t440 @t427 @t425 @t422)) % 27.96/28.35 (define @t444 () (not @t443)) % 27.96/28.35 (define @t445 () (@list true)) % 27.96/28.35 (define @t446 () (@list @t434)) % 27.96/28.35 (define @t447 () (not (= @t247 tptp.nil))) % 27.96/28.35 (define @t448 () (= @t428 @t447)) % 27.96/28.35 (define @t449 () (or @t433 @t234 @t448)) % 27.96/28.35 (define @t450 () (not @t430)) % 27.96/28.35 (define @t451 () (= @t428 @t450)) % 27.96/28.35 (define @t452 () (or @t433 @t234 @t451)) % 27.96/28.35 (define @t453 () (@list false false false)) % 27.96/28.35 (define @t454 () (not @t451)) % 27.96/28.35 (define @t455 () (and @t430 @t421 @t213)) % 27.96/28.35 (define @t456 () (not @t423)) % 27.96/28.35 (define @t457 () (not @t424)) % 27.96/28.35 (define @t458 () (and @t430 @t424 @t213)) % 27.96/28.35 (define @t459 () (@list false true false)) % 27.96/28.35 (define @t460 () (or @t196 @t193 @t50)) % 27.96/28.35 (define @t461 () (=> @t194 @t50)) % 27.96/28.35 (define @t462 () (or @t208 @t209 @t252)) % 27.96/28.35 (define @t463 () (forall @t9 @t460)) % 27.96/28.35 (define @t464 () (or @t208 @t213 @t252)) % 27.96/28.35 (define @t465 () (tptp.memberP @t200 @t202)) % 27.96/28.35 (define @t466 () (= @t202 @t201)) % 27.96/28.35 (define @t467 () (or @t466 @t465)) % 27.96/28.35 (define @t468 () (tptp.cons @t201 @t200)) % 27.96/28.35 (define @t469 () (tptp.memberP @t468 @t202)) % 27.96/28.35 (define @t470 () (= @t469 @t467)) % 27.96/28.35 (define @t471 () (not @t206)) % 27.96/28.35 (define @t472 () (not @t252)) % 27.96/28.35 (define @t473 () (or @t427 @t472 @t471 @t470)) % 27.96/28.35 (define @t474 () (@list false false false false)) % 27.96/28.35 (define @t475 () (= @t2 @t95)) % 27.96/28.35 (define @t476 () (or @t196 @t193 @t475)) % 27.96/28.35 (define @t477 () (=> @t194 @t475)) % 27.96/28.35 (define @t478 () (= @t199 @t468)) % 27.96/28.35 (define @t479 () (or @t208 @t209 @t478)) % 27.96/28.35 (define @t480 () (forall @t9 @t476)) % 27.96/28.35 (define @t481 () (or @t208 @t213 @t478)) % 27.96/28.35 (define @t482 () (@var "BOUND_VARIABLE_9399" $$unsorted)) % 27.96/28.35 (define @t483 () (tptp.ssList (tptp.app @t2 @t482))) % 27.96/28.35 (define @t484 () (not (tptp.ssList @t482))) % 27.96/28.35 (define @t485 () (or @t484 @t483)) % 27.96/28.35 (define @t486 () (or @t196 @t485)) % 27.96/28.35 (define @t487 () (forall (@list @t2 @t482) @t486)) % 27.96/28.35 (define @t488 () (@list @t482)) % 27.96/28.35 (define @t489 () (forall @t488 @t486)) % 27.96/28.35 (define @t490 () (forall @t488 @t485)) % 27.96/28.35 (define @t491 () (or @t196 @t490)) % 27.96/28.35 (define @t492 () (forall @t7 (or @t229 @t61))) % 27.96/28.35 (define @t493 () (@var "BOUND_VARIABLE_9155" $$unsorted)) % 27.96/28.35 (define @t494 () (tptp.ssList (tptp.cons @t493 @t2))) % 27.96/28.35 (define @t495 () (not (tptp.ssItem @t493))) % 27.96/28.35 (define @t496 () (or @t495 @t494)) % 27.96/28.35 (define @t497 () (or @t196 @t496)) % 27.96/28.35 (define @t498 () (forall (@list @t2 @t493) @t497)) % 27.96/28.35 (define @t499 () (@list @t493)) % 27.96/28.35 (define @t500 () (forall @t499 @t497)) % 27.96/28.35 (define @t501 () (forall @t499 @t496)) % 27.96/28.35 (define @t502 () (or @t196 @t501)) % 27.96/28.35 (define @t503 () (forall @t7 (or @t165 @t41))) % 27.96/28.35 (define @t504 () (or @t234 @t472 @t251)) % 27.96/28.35 (define @t505 () (not @t251)) % 27.96/28.35 (define @t506 () (or @t471 @t505 @t250)) % 27.96/28.35 (define @t507 () (= @t253 @t243)) % 27.96/28.35 (define @t508 () (or @t234 @t208 @t507)) % 27.96/28.35 (define @t509 () (not @t507)) % 27.96/28.35 (define @t510 () (not @t243)) % 27.96/28.35 (define @t511 () (@list true false)) % 27.96/28.35 (define @t512 () (@list true true)) % 27.96/28.35 (define @t513 () (not @t250)) % 27.96/28.35 (define @t514 () (not @t253)) % 27.96/28.35 (define @t515 () (tptp.memberP @t246 @t202)) % 27.96/28.35 (define @t516 () (and @t421 @t248)) % 27.96/28.35 (define @t517 () (@var "BOUND_VARIABLE_9687" $$unsorted)) % 27.96/28.35 (define @t518 () (@var "BOUND_VARIABLE_9685" $$unsorted)) % 27.96/28.35 (define @t519 () (= (tptp.memberP (tptp.app @t518 @t517) @t2) (or (tptp.memberP @t518 @t2) (tptp.memberP @t517 @t2)))) % 27.96/28.35 (define @t520 () (not (tptp.ssList @t517))) % 27.96/28.35 (define @t521 () (not (tptp.ssList @t518))) % 27.96/28.35 (define @t522 () (or @t521 @t520 @t519)) % 27.96/28.35 (define @t523 () (or @t154 @t522)) % 27.96/28.35 (define @t524 () (forall (@list @t2 @t518 @t517) @t523)) % 27.96/28.35 (define @t525 () (@list @t518 @t517)) % 27.96/28.35 (define @t526 () (forall @t525 @t523)) % 27.96/28.35 (define @t527 () (forall @t525 @t522)) % 27.96/28.35 (define @t528 () (@var "BOUND_VARIABLE_9666" $$unsorted)) % 27.96/28.35 (define @t529 () (or @t154 @t527)) % 27.96/28.35 (define @t530 () (= (tptp.memberP (tptp.app @t1 @t528) @t2) (or @t74 (tptp.memberP @t528 @t2)))) % 27.96/28.35 (define @t531 () (not (tptp.ssList @t528))) % 27.96/28.35 (define @t532 () (or @t229 @t531 @t530)) % 27.96/28.35 (define @t533 () (@list @t1 @t528)) % 27.96/28.35 (define @t534 () (forall @t533 @t532)) % 27.96/28.35 (define @t535 () (or @t531 @t530)) % 27.96/28.35 (define @t536 () (or @t229 @t535)) % 27.96/28.35 (define @t537 () (forall @t533 @t536)) % 27.96/28.35 (define @t538 () (@list @t528)) % 27.96/28.35 (define @t539 () (forall @t538 @t536)) % 27.96/28.35 (define @t540 () (forall @t538 @t535)) % 27.96/28.35 (define @t541 () (or @t229 @t540)) % 27.96/28.35 (define @t542 () (forall @t16 (or @t177 @t75))) % 27.96/28.35 (define @t543 () (tptp.memberP @t245 @t202)) % 27.96/28.35 (define @t544 () (or @t465 @t543)) % 27.96/28.35 (define @t545 () (= @t515 @t544)) % 27.96/28.35 (define @t546 () (or @t427 @t471 @t505 @t545)) % 27.96/28.35 (define @t547 () (not @t545)) % 27.96/28.35 (define @t548 () (not @t515)) % 27.96/28.35 (define @t549 () (not @t469)) % 27.96/28.35 (define @t550 () (not @t478)) % 27.96/28.35 (define @t551 () (and @t423 @t478)) % 27.96/28.35 (define @t552 () (not @t470)) % 27.96/28.35 (define @t553 () (not @t467)) % 27.96/28.35 (define @t554 () (not @t466)) % 27.96/28.35 (define @t555 () (not @t465)) % 27.96/28.35 (define @t556 () (tptp.memberP tptp.nil @t202)) % 27.96/28.35 (define @t557 () (not @t556)) % 27.96/28.35 (define @t558 () (or @t427 @t557)) % 27.96/28.35 (define @t559 () (or @t466 @t556)) % 27.96/28.35 (define @t560 () (not @t559)) % 27.96/28.35 (define @t561 () (not @t544)) % 27.96/28.35 (define @t562 () (= @t543 @t559)) % 27.96/28.35 (define @t563 () (or @t427 @t472 @t234 @t562)) % 27.96/28.35 (define @t564 () (not @t562)) % 27.96/28.35 (define @t565 () (not @t543)) % 27.96/28.35 (define @t566 () (and @t420 @t478)) % 27.96/28.35 (define @t567 () (and @t424 @t248)) % 27.96/28.35 (define @t568 () (@list @t544)) % 27.96/28.35 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 27.96/28.35 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 27.96/28.35 (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))))))))))) % 27.96/28.35 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 27.96/28.35 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 27.96/28.35 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 27.96/28.35 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 27.96/28.35 (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))))))))))))))))) % 27.96/28.35 (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)))))))))))))))) % 27.96/28.35 (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))))))))))))))))) % 27.96/28.35 (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))))))))))))))) % 27.96/28.35 (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))))))))))))))) % 27.96/28.35 (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)))))))))))))))) % 27.96/28.35 (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))))))))))))) % 27.96/28.35 (assume @p15 @t39) % 27.96/28.35 (assume @p16 @t44) % 27.96/28.35 (assume @p17 @t45) % 27.96/28.35 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 27.96/28.35 (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))))))))))) % 27.96/28.35 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 27.96/28.35 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 27.96/28.35 (assume @p22 @t54) % 27.96/28.35 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 27.96/28.35 (assume @p24 @t59) % 27.96/28.35 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 27.96/28.35 (assume @p26 @t64) % 27.96/28.35 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))))))))) % 27.96/28.35 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 27.96/28.35 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3)))))) % 27.96/28.35 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12))))))))) % 27.96/28.35 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 27.96/28.35 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66)))))) % 27.96/28.35 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69))))))) % 27.96/28.35 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71)))))))) % 27.96/28.35 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69)))))) % 27.96/28.35 (assume @p36 @t80) % 27.96/28.35 (assume @p37 @t86) % 27.96/28.35 (assume @p38 @t88) % 27.96/28.35 (assume @p39 (not (tptp.singletonP tptp.nil))) % 27.96/28.35 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 27.96/28.35 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 27.96/28.35 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 27.96/28.35 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 27.96/28.35 (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)))))))))))) % 27.96/28.35 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 27.96/28.35 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 27.96/28.35 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 27.96/28.35 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 27.96/28.35 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 27.96/28.35 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t89 @t1))))))))) % 27.96/28.35 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 27.96/28.35 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 27.96/28.35 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 27.96/28.35 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 27.96/28.35 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 27.96/28.35 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t89 @t10) @t1))))))))))) % 27.96/28.35 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 27.96/28.35 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 27.96/28.35 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t90)))) % 27.96/28.35 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 27.96/28.35 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t90)))) % 27.96/28.35 (assume @p62 (tptp.totalorderP tptp.nil)) % 27.96/28.35 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t90)))) % 27.96/28.35 (assume @p64 (tptp.strictorderP tptp.nil)) % 27.96/28.35 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t90)))) % 27.96/28.35 (assume @p66 (tptp.totalorderedP tptp.nil)) % 27.96/28.35 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t94) (or @t92 (and @t93 (tptp.totalorderedP @t1) (tptp.leq @t2 @t91))))))))) % 27.96/28.35 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t90)))) % 27.96/28.35 (assume @p69 (tptp.strictorderedP tptp.nil)) % 27.96/28.35 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t94) (or @t92 (and @t93 (tptp.strictorderedP @t1) (tptp.lt @t2 @t91))))))))) % 27.96/28.35 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t90)))) % 27.96/28.35 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 27.96/28.35 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t90)))) % 27.96/28.35 (assume @p74 (tptp.equalelemsP tptp.nil)) % 27.96/28.35 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 27.96/28.35 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 27.96/28.35 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t93 @t51 (= @t91 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 27.96/28.35 (assume @p78 @t98) % 27.96/28.35 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t99)))))))) % 27.96/28.35 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t99)))))))) % 27.96/28.35 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 27.96/28.35 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 27.96/28.35 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t92 @t48))))))) % 27.96/28.35 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 27.96/28.35 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 27.96/28.35 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 27.96/28.35 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3)))))) % 27.96/28.35 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 27.96/28.35 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 27.96/28.35 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 27.96/28.35 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71)))))))) % 27.96/28.35 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70))))))) % 27.96/28.35 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67))))))) % 27.96/28.35 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2)))))))) % 27.96/28.35 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 27.96/28.35 (assume @p96 @t148) % 27.96/28.35 (assume @p97 true) % 27.96/28.35 (step @p98 :rule aci_norm :args ((= @t156 (or @t154 @t153 @t152 @t151)))) % 27.96/28.35 (step @p99 :rule cong :premises (@p98) :args (@t157)) % 27.96/28.35 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t159) @t157))) % 27.96/28.35 (step @p101 :rule alpha_equiv :args (@t160 (@list @t150 @t149) (@list @t1 @t161))) % 27.96/28.35 (step @p102 :rule refl :args (@t154)) % 27.96/28.35 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t162)) % 27.96/28.35 (step @p104 :rule quant-miniscope-or :args ((= @t159 @t162))) % 27.96/28.35 (step @p105 :rule trans :premises (@p104 @p103)) % 27.96/28.35 (step @p106 :rule symm :premises (@p105)) % 27.96/28.35 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t154 @t168)))) % 27.96/28.35 (step @p108 :rule trans :premises (@p107 @p100)) % 27.96/28.35 (step @p109 :rule trans :premises (@p108 @p99)) % 27.96/28.35 (step @p110 :rule bool-impl-elim :args (@t8 @t168)) % 27.96/28.35 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t8 @t168)))) % 27.96/28.35 (step @p112 :rule trans :premises (@p111 @p109)) % 27.96/28.35 (step @p113 :rule 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@t450))) % 27.96/28.35 (step @p723 :rule chain_m_resolution :premises (@p722 @p695 @p693 @p691 @p684 @p681 @p674 @p663 @p661 @p659 @p628 @p249 @p243 @p215 @p17 @p211 @p193) :args ((or @t424 @t243) (@list true true false false false false true true true true false true true false false false) (@list @t420 @t422 @t430 @t451 @t432 @t452 @t428 @t429 @t434 @t198 @t255 @t241 @t231 @t45 @t238 @t236))) % 27.96/28.35 (step @p724 :rule cnf_or_neg :args (@t434 5)) % 27.96/28.35 (step @p725 :rule chain_m_resolution :premises (@p724 @p660) :args ((not @t425) @t445 @t446)) % 27.96/28.35 (step @p726 :rule bool-double-not-elim :args (@t420)) % 27.96/28.35 (step @p727 :rule bool-double-not-elim :args (@t421)) % 27.96/28.35 (step @p728 :rule nary_cong :premises (@p633 @p727 @p726) :args ((or @t425 @t457 @t456))) % 27.96/28.35 (step @p729 :rule cnf_and_neg :args (@t425)) % 27.96/28.35 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 27.96/28.35 (step @p731 :rule reordering :premises (@p730) :args 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27.96/28.35 (step-pop @p1134 :rule scope :premises (@p1133)) % 27.96/28.35 (step-pop @p1135 :rule scope :premises (@p1134)) % 27.96/28.35 (step @p747 :rule process_scope :premises (@p1135) :args (@t423)) % 27.96/28.35 (step @p751 :rule and_intro :premises (@p1128 @p1127 @p1129)) % 27.96/28.35 (step @p752 :rule modus_ponens :premises (@p751 @p747)) % 27.96/28.35 (step-pop @p1136 :rule scope :premises (@p752)) % 27.96/28.35 (step-pop @p1137 :rule scope :premises (@p1136)) % 27.96/28.35 (step-pop @p1138 :rule scope :premises (@p1137)) % 27.96/28.35 (step @p753 :rule process_scope :premises (@p1138) :args (@t423)) % 27.96/28.35 (step @p757 :rule implies_elim :premises (@p753)) % 27.96/28.35 (step @p758 :rule cnf_and_neg :args (@t458)) % 27.96/28.35 (step @p759 :rule resolution :premises (@p758 @p757) :args (true @t458)) % 27.96/28.35 (step @p760 :rule eq_resolve :premises (@p759 @p734)) % 27.96/28.35 (step @p761 :rule reordering :premises (@p760) :args ((or @t421 @t423 @t243 @t450))) % 27.96/28.35 (step @p762 :rule chain_m_resolution :premises (@p761 @p731 @p725 @p723 @p691 @p685 @p663 @p662 @p249 @p243 @p216) :args (@t243 (@list false true true false false true true false true true) (@list @t420 @t425 @t421 @t430 @t451 @t428 @t429 @t255 @t241 @t231))) % 27.96/28.35 (step @p763 :rule bool-double-not-elim :args (@t207)) % 27.96/28.35 (step @p764 :rule nary_cong :premises (@p677 @p763) :args ((or @t434 (not @t208)))) % 27.96/28.35 (step @p765 :rule cnf_or_neg :args (@t434 0)) % 27.96/28.35 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 27.96/28.35 (step @p767 :rule reordering :premises (@p766) :args ((or @t207 @t434))) % 27.96/28.35 (step @p768 :rule chain_m_resolution :premises (@p767 @p660) :args (@t207 @t445 @t446)) % 27.96/28.35 (step @p769 :rule cnf_or_pos :args (@t214)) % 27.96/28.35 (step @p770 :rule reordering :premises (@p769) :args ((or @t208 @t206 @t213 (not @t214)))) % 27.96/28.35 (step @p771 :rule chain_m_resolution :premises (@p770 @p768 @p762 @p173) :args (@t206 @t459 (@list @t207 @t213 @t214))) % 27.96/28.35 (step @p772 :rule aci_norm :args ((= (or @t196 (or @t193 @t50)) @t460))) % 27.96/28.35 (step @p773 :rule refl :args (@t50)) % 27.96/28.35 (step @p774 :rule nary_cong :premises (@p142 @p773) :args ((or @t204 @t50))) % 27.96/28.35 (step @p775 :rule bool-impl-elim :args (@t194 @t50)) % 27.96/28.35 (step @p776 :rule trans :premises (@p775 @p774)) % 27.96/28.35 (step @p777 :rule nary_cong :premises (@p146 @p776) :args ((or @t196 @t461))) % 27.96/28.35 (step @p778 :rule trans :premises (@p777 @p772)) % 27.96/28.35 (step @p779 :rule bool-impl-elim :args (@t17 @t461)) % 27.96/28.35 (step @p780 :rule trans :premises (@p779 @p778)) % 27.96/28.35 (step @p781 :rule cong :premises (@p780) :args ((forall @t9 (=> @t17 @t461)))) % 27.96/28.35 (step @p782 :rule cong :premises (@p154 @p257) :args (@t52)) % 27.96/28.35 (step @p783 :rule cong :premises (@p156 @p782) :args (@t53)) % 27.96/28.35 (step @p784 :rule cong :premises (@p783) :args (@t54)) % 27.96/28.35 (step @p785 :rule trans :premises (@p784 @p781)) % 27.96/28.35 (step @p786 :rule eq_resolve :premises (@p22 @p785)) % 27.96/28.35 (step @p787 :rule nary_cong :premises (@p163 @p162 @p639) :args (@t462)) % 27.96/28.35 (step @p788 :rule refl :args (@t463)) % 27.96/28.35 (step @p789 :rule cong :premises (@p788 @p787) :args ((=> @t463 @t462))) % 27.96/28.35 (assume-push @p1139 @t463) % 27.96/28.35 (step @p791 :rule instantiate :premises (@p786) :args (@t212)) % 27.96/28.35 (step-pop @p1140 :rule scope :premises (@p791)) % 27.96/28.35 (step @p792 :rule process_scope :premises (@p1140) :args (@t462)) % 27.96/28.35 (step @p794 :rule eq_resolve :premises (@p792 @p789)) % 27.96/28.35 (step @p795 :rule implies_elim :premises (@p794)) % 27.96/28.35 (step @p796 :rule chain_m_resolution :premises (@p795 @p786) :args (@t464 @t215 (@list @t463))) % 27.96/28.35 (step @p797 :rule cnf_or_pos :args (@t464)) % 27.96/28.35 (step @p798 :rule reordering :premises (@p797) :args ((or @t208 @t252 @t213 (not @t464)))) % 27.96/28.35 (step @p799 :rule chain_m_resolution :premises (@p798 @p768 @p762 @p796) :args (@t252 @t459 (@list @t207 @t213 @t464))) % 27.96/28.35 (step @p800 :rule bool-double-not-elim :args (@t426)) % 27.96/28.35 (step @p801 :rule nary_cong :premises (@p677 @p800) :args ((or @t434 (not @t427)))) % 27.96/28.35 (step @p802 :rule cnf_or_neg :args (@t434 4)) % 27.96/28.35 (step @p803 :rule eq_resolve :premises (@p802 @p801)) % 27.96/28.35 (step @p804 :rule reordering :premises (@p803) :args ((or @t426 @t434))) % 27.96/28.35 (step @p805 :rule chain_m_resolution :premises (@p804 @p660) :args (@t426 @t445 @t446)) % 27.96/28.35 (step @p806 :rule cnf_or_pos :args (@t473)) % 27.96/28.35 (step @p807 :rule reordering :premises (@p806) :args ((or @t427 @t472 @t471 @t470 (not @t473)))) % 27.96/28.35 (step @p808 :rule chain_m_resolution :premises (@p807 @p805 @p799 @p771 @p139) :args (@t470 @t474 (@list @t426 @t252 @t206 @t473))) % 27.96/28.35 (step @p809 :rule aci_norm :args ((= (or @t196 (or @t193 @t475)) @t476))) % 27.96/28.35 (step @p810 :rule refl :args (@t475)) % 27.96/28.35 (step @p811 :rule nary_cong :premises (@p142 @p810) :args ((or @t204 @t475))) % 27.96/28.35 (step @p812 :rule bool-impl-elim :args (@t194 @t475)) % 27.96/28.35 (step @p813 :rule trans :premises (@p812 @p811)) % 27.96/28.35 (step @p814 :rule nary_cong :premises (@p146 @p813) :args ((or @t196 @t477))) % 27.96/28.35 (step @p815 :rule trans :premises (@p814 @p809)) % 27.96/28.35 (step @p816 :rule bool-impl-elim :args (@t17 @t477)) % 27.96/28.35 (step @p817 :rule trans :premises (@p816 @p815)) % 27.96/28.35 (step @p818 :rule cong :premises (@p817) :args ((forall @t9 (=> @t17 @t477)))) % 27.96/28.35 (step @p819 :rule eq-symm :args (@t95 @t2)) % 27.96/28.35 (step @p820 :rule cong :premises (@p154 @p819) :args (@t96)) % 27.96/28.35 (step @p821 :rule cong :premises (@p156 @p820) :args (@t97)) % 27.96/28.35 (step @p822 :rule cong :premises (@p821) :args (@t98)) % 27.96/28.35 (step @p823 :rule trans :premises (@p822 @p818)) % 27.96/28.35 (step @p824 :rule eq_resolve :premises (@p78 @p823)) % 27.96/28.35 (step @p825 :rule refl :args (@t478)) % 27.96/28.35 (step @p826 :rule nary_cong :premises (@p163 @p162 @p825) :args (@t479)) % 27.96/28.35 (step @p827 :rule refl :args (@t480)) % 27.96/28.35 (step @p828 :rule cong :premises (@p827 @p826) :args ((=> @t480 @t479))) % 27.96/28.35 (assume-push @p1141 @t480) % 27.96/28.35 (step @p830 :rule instantiate :premises (@p824) :args (@t212)) % 27.96/28.35 (step-pop @p1142 :rule scope :premises (@p830)) % 27.96/28.35 (step @p831 :rule process_scope :premises (@p1142) :args (@t479)) % 27.96/28.35 (step @p833 :rule eq_resolve :premises (@p831 @p828)) % 27.96/28.35 (step @p834 :rule implies_elim :premises (@p833)) % 27.96/28.35 (step @p835 :rule chain_m_resolution :premises (@p834 @p824) :args (@t481 @t215 (@list @t480))) % 27.96/28.35 (step @p836 :rule cnf_or_pos :args (@t481)) % 27.96/28.35 (step @p837 :rule reordering :premises (@p836) :args ((or @t208 @t213 @t478 (not @t481)))) % 27.96/28.35 (step @p838 :rule chain_m_resolution :premises (@p837 @p768 @p762 @p835) :args (@t478 @t459 (@list @t207 @t213 @t481))) % 27.96/28.35 (step @p839 :rule aci_norm :args ((= @t486 (or @t196 @t484 @t483)))) % 27.96/28.35 (step @p840 :rule cong :premises (@p839) :args (@t487)) % 27.96/28.35 (step @p841 :rule quant-merge-prenex :args ((= (forall @t9 @t489) @t487))) % 27.96/28.35 (step @p842 :rule alpha_equiv :args (@t490 (@list @t482) @t227)) % 27.96/28.35 (step @p843 :rule nary_cong :premises (@p146 @p842) :args (@t491)) % 27.96/28.35 (step @p844 :rule quant-miniscope-or :args ((= @t489 @t491))) % 27.96/28.35 (step @p845 :rule trans :premises (@p844 @p843)) % 27.96/28.35 (step @p846 :rule symm :premises (@p845)) % 27.96/28.35 (step @p847 :rule cong :premises (@p846) :args ((forall @t9 (or @t196 @t492)))) % 27.96/28.35 (step @p848 :rule trans :premises (@p847 @p841)) % 27.96/28.35 (step @p849 :rule trans :premises (@p848 @p840)) % 27.96/28.35 (step @p850 :rule bool-impl-elim :args (@t17 @t492)) % 27.96/28.35 (step @p851 :rule cong :premises (@p850) :args ((forall @t9 (=> @t17 @t492)))) % 27.96/28.35 (step @p852 :rule trans :premises (@p851 @p849)) % 27.96/28.35 (step @p853 :rule bool-impl-elim :args (@t21 @t61)) % 27.96/28.35 (step @p854 :rule cong :premises (@p853) :args (@t62)) % 27.96/28.35 (step @p855 :rule cong :premises (@p156 @p854) :args (@t63)) % 27.96/28.35 (step @p856 :rule cong :premises (@p855) :args (@t64)) % 27.96/28.35 (step @p857 :rule trans :premises (@p856 @p852)) % 27.96/28.35 (step @p858 :rule eq_resolve :premises (@p26 @p857)) % 27.96/28.35 (step @p859 :rule instantiate :premises (@p858) :args ((@list @t200 @t245))) % 27.96/28.35 (step @p860 :rule aci_norm :args ((= @t497 (or @t196 @t495 @t494)))) % 27.96/28.35 (step @p861 :rule cong :premises (@p860) :args (@t498)) % 27.96/28.35 (step @p862 :rule quant-merge-prenex :args ((= (forall @t9 @t500) @t498))) % 27.96/28.35 (step @p863 :rule alpha_equiv :args (@t501 (@list @t493) @t227)) % 27.96/28.35 (step @p864 :rule nary_cong :premises (@p146 @p863) :args (@t502)) % 27.96/28.35 (step @p865 :rule quant-miniscope-or :args ((= @t500 @t502))) % 27.96/28.35 (step @p866 :rule trans :premises (@p865 @p864)) % 27.96/28.35 (step @p867 :rule symm :premises (@p866)) % 27.96/28.35 (step @p868 :rule cong :premises (@p867) :args ((forall @t9 (or @t196 @t503)))) % 27.96/28.35 (step @p869 :rule trans :premises (@p868 @p862)) % 27.96/28.35 (step @p870 :rule trans :premises (@p869 @p861)) % 27.96/28.35 (step @p871 :rule bool-impl-elim :args (@t17 @t503)) % 27.96/28.35 (step @p872 :rule cong :premises (@p871) :args ((forall @t9 (=> @t17 @t503)))) % 27.96/28.35 (step @p873 :rule trans :premises (@p872 @p870)) % 27.96/28.35 (step @p874 :rule bool-impl-elim :args (@t6 @t41)) % 27.96/28.35 (step @p875 :rule cong :premises (@p874) :args (@t42)) % 27.96/28.35 (step @p876 :rule cong :premises (@p156 @p875) :args (@t43)) % 27.96/28.35 (step @p877 :rule cong :premises (@p876) :args (@t44)) % 27.96/28.35 (step @p878 :rule trans :premises (@p877 @p873)) % 27.96/28.35 (step @p879 :rule eq_resolve :premises (@p16 @p878)) % 27.96/28.35 (step @p880 :rule instantiate :premises (@p879) :args ((@list tptp.nil @t201))) % 27.96/28.35 (step @p881 :rule cnf_or_pos :args (@t504)) % 27.96/28.35 (step @p882 :rule reordering :premises (@p881) :args ((or @t234 @t251 @t472 (not @t504)))) % 27.96/28.35 (step @p883 :rule chain_m_resolution :premises (@p882 @p17 @p799 @p880) :args (@t251 @t453 (@list @t45 @t252 @t504))) % 27.96/28.35 (step @p884 :rule cnf_or_pos :args (@t506)) % 27.96/28.35 (step @p885 :rule reordering :premises (@p884) :args ((or @t250 @t505 @t471 (not @t506)))) % 27.96/28.35 (step @p886 :rule chain_m_resolution :premises (@p885 @p883 @p771 @p859) :args (@t250 @t453 (@list @t251 @t206 @t506))) % 27.96/28.35 (step @p887 :rule instantiate :premises (@p193) :args ((@list tptp.nil @t199))) % 27.96/28.35 (step @p888 :rule cnf_or_pos :args (@t508)) % 27.96/28.35 (step @p889 :rule reordering :premises (@p888) :args ((or @t234 @t208 @t507 (not @t508)))) % 27.96/28.35 (step @p890 :rule chain_m_resolution :premises (@p889 @p17 @p768 @p887) :args (@t507 @t453 (@list @t45 @t207 @t508))) % 27.96/28.35 (step @p891 :rule bool-double-not-elim :args (@t213)) % 27.96/28.35 (step @p892 :rule refl :args (@t509)) % 27.96/28.35 (step @p893 :rule nary_cong :premises (@p892 @p640 @p891) :args ((or @t509 @t253 @t510))) % 27.96/28.35 (step @p894 :rule cnf_equiv_pos2 :args (@t507)) % 27.96/28.35 (step @p895 :rule eq_resolve :premises (@p894 @p893)) % 27.96/28.35 (step @p896 :rule reordering :premises (@p895) :args ((or @t253 @t213 @t509))) % 27.96/28.35 (step @p897 :rule chain_m_resolution :premises (@p896 @p762 @p890) :args (@t253 @t511 (@list @t213 @t507))) % 27.96/28.35 (step @p898 :rule cnf_or_neg :args (@t434 2)) % 27.96/28.35 (step @p899 :rule chain_m_resolution :premises (@p898 @p660) :args ((not @t431) @t445 @t446)) % 27.96/28.35 (step @p900 :rule refl :args (@t431)) % 27.96/28.35 (step @p901 :rule nary_cong :premises (@p900 @p891 @p733) :args ((or @t431 @t510 @t450))) % 27.96/28.35 (step @p902 :rule cnf_and_neg :args (@t431)) % 27.96/28.35 (step @p903 :rule eq_resolve :premises (@p902 @p901)) % 27.96/28.35 (step @p904 :rule reordering :premises (@p903) :args ((or @t213 @t431 @t450))) % 27.96/28.35 (step @p905 :rule chain_m_resolution :premises (@p904 @p762 @p899) :args (@t450 @t512 (@list @t213 @t431))) % 27.96/28.35 (step @p906 :rule chain_m_resolution :premises (@p691 @p905 @p685) :args (@t428 @t511 (@list @t430 @t451))) % 27.96/28.35 (step @p907 :rule chain_m_resolution :premises (@p663 @p662 @p906) :args ((not @t255) @t511 (@list @t429 @t428))) % 27.96/28.35 (step @p908 :rule cnf_or_neg :args (@t255 1)) % 27.96/28.35 (step @p909 :rule chain_m_resolution :premises (@p908 @p907) :args ((not @t254) @t445 (@list @t255))) % 27.96/28.35 (step @p910 :rule bool-double-not-elim :args (@t248)) % 27.96/28.35 (step @p911 :rule refl :args (@t513)) % 27.96/28.35 (step @p912 :rule refl :args (@t471)) % 27.96/28.35 (step @p913 :rule refl :args (@t505)) % 27.96/28.35 (step @p914 :rule refl :args (@t472)) % 27.96/28.35 (step @p915 :rule refl :args (@t514)) % 27.96/28.35 (step @p916 :rule refl :args (@t254)) % 27.96/28.35 (step @p917 :rule nary_cong :premises (@p916 @p915 @p914 @p913 @p912 @p911 @p910) :args ((or @t254 @t514 @t472 @t505 @t471 @t513 (not @t249)))) % 27.96/28.35 (step @p918 :rule cnf_and_neg :args (@t254)) % 27.96/28.35 (step @p919 :rule eq_resolve :premises (@p918 @p917)) % 27.96/28.35 (step @p920 :rule reordering :premises (@p919) :args ((or @t248 @t254 @t514 @t472 @t505 @t471 @t513))) % 27.96/28.35 (step @p921 :rule chain_m_resolution :premises (@p920 @p909 @p897 @p799 @p883 @p771 @p886) :args (@t248 (@list true false false false false false) (@list @t254 @t253 @t252 @t251 @t206 @t250))) % 27.96/28.35 (assume-push @p1143 @t421) % 27.96/28.35 (assume-push @p1144 @t248) % 27.96/28.35 (assume-push @p1145 @t421) % 27.96/28.35 (assume-push @p1146 @t248) % 27.96/28.35 (step @p926 :rule true_intro :premises (@p1143)) % 27.96/28.35 (step @p703 :rule refl :args (@t202)) % 27.96/28.35 (step @p927 :rule symm :premises (@p1144)) % 27.96/28.35 (step @p928 :rule cong :premises (@p927 @p703) :args (@t515)) % 27.96/28.35 (step @p929 :rule trans :premises (@p928 @p926)) % 27.96/28.35 (step @p930 :rule true_elim :premises (@p929)) % 27.96/28.35 (step-pop @p1147 :rule scope :premises (@p930)) % 27.96/28.35 (step-pop @p1148 :rule scope :premises (@p1147)) % 27.96/28.35 (step @p931 :rule process_scope :premises (@p1148) :args (@t515)) % 27.96/28.35 (step @p934 :rule and_intro :premises (@p1143 @p1144)) % 27.96/28.35 (step @p935 :rule modus_ponens :premises (@p934 @p931)) % 27.96/28.35 (step-pop @p1149 :rule scope :premises (@p935)) % 27.96/28.35 (step-pop @p1150 :rule scope :premises (@p1149)) % 27.96/28.35 (step @p936 :rule process_scope :premises (@p1150) :args (@t515)) % 27.96/28.35 (step @p939 :rule implies_elim :premises (@p936)) % 27.96/28.35 (step @p940 :rule cnf_and_neg :args (@t516)) % 27.96/28.35 (step @p941 :rule resolution :premises (@p940 @p939) :args (true @t516)) % 27.96/28.35 (step @p942 :rule aci_norm :args ((= @t523 (or @t154 @t521 @t520 @t519)))) % 27.96/28.35 (step @p943 :rule cong :premises (@p942) :args (@t524)) % 27.96/28.35 (step @p944 :rule quant-merge-prenex :args ((= (forall @t9 @t526) @t524))) % 27.96/28.35 (step @p945 :rule alpha_equiv :args (@t527 (@list @t518 @t517) (@list @t1 @t528))) % 27.96/28.35 (step @p946 :rule nary_cong :premises (@p102 @p945) :args (@t529)) % 27.96/28.35 (step @p947 :rule quant-miniscope-or :args ((= @t526 @t529))) % 27.96/28.35 (step @p948 :rule trans :premises (@p947 @p946)) % 27.96/28.35 (step @p949 :rule symm :premises (@p948)) % 27.96/28.35 (step @p950 :rule cong :premises (@p949) :args ((forall @t9 (or @t154 @t534)))) % 27.96/28.35 (step @p951 :rule trans :premises (@p950 @p944)) % 27.96/28.35 (step @p952 :rule trans :premises (@p951 @p943)) % 27.96/28.35 (step @p953 :rule bool-impl-elim :args (@t8 @t534)) % 27.96/28.35 (step @p954 :rule cong :premises (@p953) :args ((forall @t9 (=> @t8 @t534)))) % 27.96/28.35 (step @p955 :rule trans :premises (@p954 @p952)) % 27.96/28.35 (step @p956 :rule aci_norm :args ((= @t536 @t532))) % 27.96/28.35 (step @p957 :rule cong :premises (@p956) :args (@t537)) % 27.96/28.35 (step @p958 :rule quant-merge-prenex :args ((= (forall @t7 @t539) @t537))) % 27.96/28.35 (step @p959 :rule alpha_equiv :args (@t540 (@list @t528) @t175)) % 27.96/28.35 (step @p960 :rule nary_cong :premises (@p293 @p959) :args (@t541)) % 27.96/28.35 (step @p961 :rule quant-miniscope-or :args ((= @t539 @t541))) % 27.96/28.35 (step @p962 :rule trans :premises (@p961 @p960)) % 27.96/28.35 (step @p963 :rule symm :premises (@p962)) % 27.96/28.35 (step @p964 :rule cong :premises (@p963) :args ((forall @t7 (or @t229 @t542)))) % 27.96/28.35 (step @p965 :rule trans :premises (@p964 @p958)) % 27.96/28.35 (step @p966 :rule trans :premises (@p965 @p957)) % 27.96/28.35 (step @p967 :rule bool-impl-elim :args (@t21 @t542)) % 27.96/28.35 (step @p968 :rule cong :premises (@p967) :args ((forall @t7 (=> @t21 @t542)))) % 27.96/28.35 (step @p969 :rule trans :premises (@p968 @p966)) % 27.96/28.35 (step @p970 :rule bool-impl-elim :args (@t15 @t75)) % 27.96/28.35 (step @p971 :rule cong :premises (@p970) :args (@t76)) % 27.96/28.35 (step @p972 :rule cong :premises (@p620 @p971) :args (@t77)) % 27.96/28.35 (step @p973 :rule cong :premises (@p972) :args (@t78)) % 27.96/28.35 (step @p974 :rule trans :premises (@p973 @p969)) % 27.96/28.35 (step @p975 :rule cong :premises (@p134 @p974) :args (@t79)) % 27.96/28.35 (step @p976 :rule cong :premises (@p975) :args (@t80)) % 27.96/28.35 (step @p977 :rule trans :premises (@p976 @p955)) % 27.96/28.35 (step @p978 :rule eq_resolve :premises (@p36 @p977)) % 27.96/28.35 (step @p979 :rule instantiate :premises (@p978) :args ((@list @t202 @t200 @t245))) % 27.96/28.35 (step @p980 :rule cnf_or_pos :args (@t546)) % 27.96/28.35 (step @p981 :rule reordering :premises (@p980) :args ((or @t427 @t505 @t471 @t545 (not @t546)))) % 27.96/28.35 (step @p982 :rule chain_m_resolution :premises (@p981 @p805 @p883 @p771 @p979) :args (@t545 @t474 (@list @t426 @t251 @t206 @t546))) % 27.96/28.35 (step @p983 :rule cnf_equiv_pos1 :args (@t545)) % 27.96/28.35 (step @p984 :rule reordering :premises (@p983) :args ((or @t544 @t548 @t547))) % 27.96/28.35 (step @p985 :rule refl :args (@t549)) % 27.96/28.35 (step @p986 :rule refl :args (@t550)) % 27.96/28.35 (step @p987 :rule nary_cong :premises (@p726 @p986 @p985) :args ((or @t456 @t550 @t549))) % 27.96/28.35 (assume-push @p1151 @t423) % 27.96/28.35 (assume-push @p1152 @t478) % 27.96/28.35 (assume-push @p1153 @t423) % 27.96/28.35 (assume-push @p1154 @t478) % 27.96/28.35 (step @p992 :rule false_intro :premises (@p1151)) % 27.96/28.35 (step @p703 :rule refl :args (@t202)) % 27.96/28.35 (step @p993 :rule symm :premises (@p1152)) % 27.96/28.35 (step @p994 :rule cong :premises (@p993 @p703) :args (@t469)) % 27.96/28.35 (step @p995 :rule trans :premises (@p994 @p992)) % 27.96/28.35 (step @p996 :rule false_elim :premises (@p995)) % 27.96/28.35 (step-pop @p1155 :rule scope :premises (@p996)) % 27.96/28.35 (step-pop @p1156 :rule scope :premises (@p1155)) % 27.96/28.35 (step @p997 :rule process_scope :premises (@p1156) :args (@t549)) % 27.96/28.35 (step @p1000 :rule and_intro :premises (@p1151 @p1152)) % 27.96/28.35 (step @p1001 :rule modus_ponens :premises (@p1000 @p997)) % 27.96/28.35 (step-pop @p1157 :rule scope :premises (@p1001)) % 27.96/28.35 (step-pop @p1158 :rule scope :premises (@p1157)) % 27.96/28.35 (step @p1002 :rule process_scope :premises (@p1158) :args (@t549)) % 27.96/28.35 (step @p1005 :rule implies_elim :premises (@p1002)) % 27.96/28.35 (step @p1006 :rule cnf_and_neg :args (@t551)) % 27.96/28.35 (step @p1007 :rule resolution :premises (@p1006 @p1005) :args (true @t551)) % 27.96/28.35 (step @p1008 :rule eq_resolve :premises (@p1007 @p987)) % 27.96/28.35 (step @p1009 :rule cnf_equiv_pos2 :args (@t470)) % 27.96/28.35 (step @p1010 :rule reordering :premises (@p1009) :args ((or @t469 @t553 @t552))) % 27.96/28.35 (step @p1011 :rule cnf_or_neg :args (@t467 0)) % 27.96/28.35 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t554 @t467))) % 27.96/28.35 (step @p1013 :rule cnf_or_neg :args (@t467 1)) % 27.96/28.35 (step @p1014 :rule reordering :premises (@p1013) :args ((or @t555 @t467))) % 27.96/28.35 (step @p1015 :rule bool-impl-elim :args (@t8 @t87)) % 27.96/28.35 (step @p1016 :rule cong :premises (@p1015) :args (@t88)) % 27.96/28.35 (step @p1017 :rule eq_resolve :premises (@p38 @p1016)) % 27.96/28.35 (step @p1018 :rule instantiate :premises (@p1017) :args ((@list @t202))) % 27.96/28.35 (step @p1019 :rule cnf_or_pos :args (@t558)) % 27.96/28.35 (step @p1020 :rule reordering :premises (@p1019) :args ((or @t427 @t557 (not @t558)))) % 27.96/28.35 (step @p1021 :rule chain_m_resolution :premises (@p1020 @p805 @p1018) :args (@t557 @t240 (@list @t426 @t558))) % 27.96/28.35 (step @p1022 :rule cnf_or_pos :args (@t559)) % 27.96/28.35 (step @p1023 :rule reordering :premises (@p1022) :args ((or @t556 @t466 @t560))) % 27.96/28.35 (step @p1024 :rule cnf_or_pos :args (@t544)) % 27.96/28.35 (step @p1025 :rule reordering :premises (@p1024) :args ((or @t465 @t543 @t561))) % 27.96/28.35 (step @p1026 :rule instantiate :premises (@p138) :args ((@list @t202 @t201 tptp.nil))) % 27.96/28.35 (step @p1027 :rule cnf_or_pos :args (@t563)) % 27.96/28.35 (step @p1028 :rule reordering :premises (@p1027) :args ((or @t234 @t427 @t472 @t562 (not @t563)))) % 27.96/28.35 (step @p1029 :rule chain_m_resolution :premises (@p1028 @p17 @p805 @p799 @p1026) :args (@t562 @t474 (@list @t45 @t426 @t252 @t563))) % 27.96/28.35 (step @p1030 :rule cnf_equiv_pos1 :args (@t562)) % 27.96/28.35 (step @p1031 :rule reordering :premises (@p1030) :args ((or @t565 @t559 @t564))) % 27.96/28.35 (step @p1032 :rule chain_m_resolution :premises (@p1031 @p1029 @p1025 @p1023 @p1021 @p1014 @p1012 @p1010 @p808 @p1008 @p838 @p984 @p982 @p941 @p921 @p695 @p693) :args (@t424 (@list false false true true true true true false true false false false false false true true) (@list @t562 @t543 @t559 @t556 @t465 @t466 @t467 @t470 @t469 @t478 @t544 @t545 @t515 @t248 @t420 @t422))) % 27.96/28.35 (step @p1033 :rule chain_m_resolution :premises (@p731 @p1032 @p725) :args (@t420 @t512 (@list @t421 @t425))) % 27.96/28.35 (assume-push @p1159 @t420) % 27.96/28.35 (assume-push @p1160 @t478) % 27.96/28.35 (assume-push @p1161 @t420) % 27.96/28.35 (assume-push @p1162 @t478) % 27.96/28.35 (step @p1038 :rule true_intro :premises (@p1159)) % 27.96/28.35 (step @p703 :rule refl :args (@t202)) % 27.96/28.35 (step @p1039 :rule symm :premises (@p1160)) % 27.96/28.35 (step @p1040 :rule cong :premises (@p1039 @p703) :args (@t469)) % 27.96/28.35 (step @p1041 :rule trans :premises (@p1040 @p1038)) % 27.96/28.35 (step @p1042 :rule true_elim :premises (@p1041)) % 27.96/28.35 (step-pop @p1163 :rule scope :premises (@p1042)) % 27.96/28.35 (step-pop @p1164 :rule scope :premises (@p1163)) % 27.96/28.35 (step @p1043 :rule process_scope :premises (@p1164) :args (@t469)) % 27.96/28.35 (step @p1046 :rule and_intro :premises (@p1159 @p1160)) % 27.96/28.35 (step @p1047 :rule modus_ponens :premises (@p1046 @p1043)) % 27.96/28.35 (step-pop @p1165 :rule scope :premises (@p1047)) % 27.96/28.35 (step-pop @p1166 :rule scope :premises (@p1165)) % 27.96/28.35 (step @p1048 :rule process_scope :premises (@p1166) :args (@t469)) % 27.96/28.35 (step @p1051 :rule implies_elim :premises (@p1048)) % 27.96/28.35 (step @p1052 :rule cnf_and_neg :args (@t566)) % 27.96/28.35 (step @p1053 :rule resolution :premises (@p1052 @p1051) :args (true @t566)) % 27.96/28.35 (step @p1054 :rule chain_m_resolution :premises (@p1053 @p1033 @p838) :args (@t469 @t240 (@list @t420 @t478))) % 27.96/28.35 (step @p1055 :rule cnf_equiv_pos1 :args (@t470)) % 27.96/28.35 (step @p1056 :rule reordering :premises (@p1055) :args ((or @t467 @t549 @t552))) % 27.96/28.35 (step @p1057 :rule chain_m_resolution :premises (@p1056 @p1054 @p808) :args (@t467 @t240 (@list @t469 @t470))) % 27.96/28.35 (step @p1058 :rule refl :args (@t548)) % 27.96/28.35 (step @p1059 :rule refl :args (@t249)) % 27.96/28.35 (step @p1060 :rule nary_cong :premises (@p727 @p1059 @p1058) :args ((or @t457 @t249 @t548))) % 27.96/28.35 (assume-push @p1167 @t424) % 27.96/28.35 (assume-push @p1168 @t248) % 27.96/28.35 (assume-push @p1169 @t424) % 27.96/28.35 (assume-push @p1170 @t248) % 27.96/28.35 (step @p1065 :rule false_intro :premises (@p1167)) % 27.96/28.35 (step @p703 :rule refl :args (@t202)) % 27.96/28.35 (step @p1066 :rule symm :premises (@p1168)) % 27.96/28.35 (step @p1067 :rule cong :premises (@p1066 @p703) :args (@t515)) % 27.96/28.35 (step @p1068 :rule trans :premises (@p1067 @p1065)) % 27.96/28.35 (step @p1069 :rule false_elim :premises (@p1068)) % 27.96/28.35 (step-pop @p1171 :rule scope :premises (@p1069)) % 27.96/28.35 (step-pop @p1172 :rule scope :premises (@p1171)) % 27.96/28.35 (step @p1070 :rule process_scope :premises (@p1172) :args (@t548)) % 27.96/28.35 (step @p1073 :rule and_intro :premises (@p1167 @p1168)) % 27.96/28.35 (step @p1074 :rule modus_ponens :premises (@p1073 @p1070)) % 27.96/28.35 (step-pop @p1173 :rule scope :premises (@p1074)) % 27.96/28.35 (step-pop @p1174 :rule scope :premises (@p1173)) % 27.96/28.35 (step @p1075 :rule process_scope :premises (@p1174) :args (@t548)) % 27.96/28.35 (step @p1078 :rule implies_elim :premises (@p1075)) % 27.96/28.35 (step @p1079 :rule cnf_and_neg :args (@t567)) % 27.96/28.35 (step @p1080 :rule resolution :premises (@p1079 @p1078) :args (true @t567)) % 27.96/28.35 (step @p1081 :rule eq_resolve :premises (@p1080 @p1060)) % 27.96/28.35 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p1032 @p921) :args (@t548 @t511 (@list @t421 @t248))) % 27.96/28.35 (step @p1083 :rule cnf_equiv_pos2 :args (@t545)) % 27.96/28.35 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t515 @t561 @t547))) % 27.96/28.35 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p1082 @p982) :args (@t561 @t511 (@list @t515 @t545))) % 27.96/28.35 (step @p1086 :rule cnf_or_neg :args (@t544 0)) % 27.96/28.35 (step @p1087 :rule chain_m_resolution :premises (@p1086 @p1085) :args (@t555 @t445 @t568)) % 27.96/28.35 (step @p1088 :rule cnf_or_pos :args (@t467)) % 27.96/28.35 (step @p1089 :rule reordering :premises (@p1088) :args ((or @t465 @t466 @t553))) % 27.96/28.35 (step @p1090 :rule chain_m_resolution :premises (@p1089 @p1087 @p1057) :args (@t466 @t511 (@list @t465 @t467))) % 27.96/28.35 (step @p1091 :rule cnf_or_neg :args (@t544 1)) % 27.96/28.35 (step @p1092 :rule chain_m_resolution :premises (@p1091 @p1085) :args (@t565 @t445 @t568)) % 27.96/28.35 (step @p1093 :rule cnf_equiv_pos2 :args (@t562)) % 27.96/28.35 (step @p1094 :rule reordering :premises (@p1093) :args ((or @t543 @t560 @t564))) % 27.96/28.35 (step @p1095 :rule chain_m_resolution :premises (@p1094 @p1092 @p1029) :args (@t560 @t511 (@list @t543 @t562))) % 27.96/28.35 (step @p1096 :rule cnf_or_neg :args (@t559 0)) % 27.96/28.35 (step @p1097 :rule reordering :premises (@p1096) :args ((or @t554 @t559))) % 27.96/28.35 (step @p1098 false :rule chain_m_resolution :premises (@p1097 @p1095 @p1090) :args (false @t511 (@list @t559 @t466))) % 27.96/28.35 ) % 27.96/28.35 % SZS output end Proof % 27.96/28.35 % cvc5 exiting %------------------------------------------------------------------------------