%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC183+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 : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:22 AM UTC 2026 % Result : Theorem 10.32s 10.53s % Output : Proof 10.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC183+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 % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:22:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 10.32/10.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 10.32/10.53 % SZS status Theorem % 10.32/10.53 % SZS output start Proof % 10.32/10.53 ( % 10.32/10.53 (declare-sort $$unsorted 0) % 10.32/10.53 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 10.32/10.53 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 10.32/10.53 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 10.32/10.53 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 10.32/10.53 (declare-const tptp.nil $$unsorted) % 10.32/10.53 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.ssList (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 10.32/10.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 10.32/10.53 (define @t1 () (@var "V" $$unsorted)) % 10.32/10.53 (define @t2 () (@var "U" $$unsorted)) % 10.32/10.53 (define @t3 () (= @t2 @t1)) % 10.32/10.53 (define @t4 () (not @t3)) % 10.32/10.53 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 10.32/10.53 (define @t6 () (tptp.ssItem @t1)) % 10.32/10.53 (define @t7 () (@list @t1)) % 10.32/10.53 (define @t8 () (tptp.ssItem @t2)) % 10.32/10.53 (define @t9 () (@list @t2)) % 10.32/10.53 (define @t10 () (@var "X" $$unsorted)) % 10.32/10.53 (define @t11 () (tptp.cons @t1 @t10)) % 10.32/10.53 (define @t12 () (@var "W" $$unsorted)) % 10.32/10.53 (define @t13 () (tptp.ssList @t10)) % 10.32/10.53 (define @t14 () (@list @t10)) % 10.32/10.53 (define @t15 () (tptp.ssList @t12)) % 10.32/10.53 (define @t16 () (@list @t12)) % 10.32/10.53 (define @t17 () (tptp.ssList @t2)) % 10.32/10.53 (define @t18 () (tptp.cons @t1 tptp.nil)) % 10.32/10.53 (define @t19 () (tptp.app @t1 @t12)) % 10.32/10.53 (define @t20 () (tptp.frontsegP @t2 @t1)) % 10.32/10.53 (define @t21 () (tptp.ssList @t1)) % 10.32/10.53 (define @t22 () (tptp.app @t12 @t1)) % 10.32/10.53 (define @t23 () (and @t15 (= @t22 @t2))) % 10.32/10.53 (define @t24 () (exists @t16 @t23)) % 10.32/10.53 (define @t25 () (tptp.rearsegP @t2 @t1)) % 10.32/10.53 (define @t26 () (= @t25 @t24)) % 10.32/10.53 (define @t27 () (=> @t21 @t26)) % 10.32/10.53 (define @t28 () (forall @t7 @t27)) % 10.32/10.53 (define @t29 () (=> @t17 @t28)) % 10.32/10.53 (define @t30 () (forall @t9 @t29)) % 10.32/10.53 (define @t31 () (tptp.segmentP @t2 @t1)) % 10.32/10.53 (define @t32 () (tptp.leq @t12 @t1)) % 10.32/10.53 (define @t33 () (tptp.leq @t1 @t12)) % 10.32/10.53 (define @t34 () (@var "Z" $$unsorted)) % 10.32/10.53 (define @t35 () (@var "Y" $$unsorted)) % 10.32/10.53 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 10.32/10.53 (define @t37 () (tptp.ssList @t34)) % 10.32/10.53 (define @t38 () (@list @t34)) % 10.32/10.53 (define @t39 () (tptp.ssList @t35)) % 10.32/10.53 (define @t40 () (@list @t35)) % 10.32/10.53 (define @t41 () (tptp.ssItem @t12)) % 10.32/10.53 (define @t42 () (tptp.lt @t1 @t12)) % 10.32/10.53 (define @t43 () (= @t1 @t12)) % 10.32/10.53 (define @t44 () (tptp.cons @t1 @t2)) % 10.32/10.53 (define @t45 () (tptp.ssList @t44)) % 10.32/10.53 (define @t46 () (forall @t7 (=> @t6 @t45))) % 10.32/10.53 (define @t47 () (=> @t17 @t46)) % 10.32/10.53 (define @t48 () (forall @t9 @t47)) % 10.32/10.53 (define @t49 () (tptp.ssList tptp.nil)) % 10.32/10.53 (define @t50 () (not (= @t44 @t2))) % 10.32/10.53 (define @t51 () (=> @t6 @t50)) % 10.32/10.53 (define @t52 () (forall @t7 @t51)) % 10.32/10.53 (define @t53 () (=> @t17 @t52)) % 10.32/10.53 (define @t54 () (forall @t9 @t53)) % 10.32/10.53 (define @t55 () (= @t1 @t2)) % 10.32/10.53 (define @t56 () (tptp.cons @t12 @t1)) % 10.32/10.53 (define @t57 () (and @t41 (= @t56 @t2))) % 10.32/10.53 (define @t58 () (exists @t16 @t57)) % 10.32/10.53 (define @t59 () (and @t21 @t58)) % 10.32/10.53 (define @t60 () (exists @t7 @t59)) % 10.32/10.53 (define @t61 () (= tptp.nil @t2)) % 10.32/10.53 (define @t62 () (or @t61 @t60)) % 10.32/10.53 (define @t63 () (=> @t17 @t62)) % 10.32/10.53 (define @t64 () (forall @t9 @t63)) % 10.32/10.53 (define @t65 () (tptp.hd @t2)) % 10.32/10.53 (define @t66 () (not @t61)) % 10.32/10.53 (define @t67 () (tptp.tl @t2)) % 10.32/10.53 (define @t68 () (tptp.ssList @t67)) % 10.32/10.53 (define @t69 () (=> @t66 @t68)) % 10.32/10.53 (define @t70 () (=> @t17 @t69)) % 10.32/10.53 (define @t71 () (forall @t9 @t70)) % 10.32/10.53 (define @t72 () (tptp.tl @t44)) % 10.32/10.53 (define @t73 () (=> @t6 (= @t72 @t2))) % 10.32/10.53 (define @t74 () (forall @t7 @t73)) % 10.32/10.53 (define @t75 () (=> @t17 @t74)) % 10.32/10.53 (define @t76 () (forall @t9 @t75)) % 10.32/10.53 (define @t77 () (tptp.app @t2 @t1)) % 10.32/10.53 (define @t78 () (tptp.ssList @t77)) % 10.32/10.53 (define @t79 () (forall @t7 (=> @t21 @t78))) % 10.32/10.53 (define @t80 () (=> @t17 @t79)) % 10.32/10.53 (define @t81 () (forall @t9 @t80)) % 10.32/10.53 (define @t82 () (tptp.app @t1 @t2)) % 10.32/10.53 (define @t83 () (tptp.leq @t1 @t2)) % 10.32/10.53 (define @t84 () (tptp.leq @t2 @t1)) % 10.32/10.53 (define @t85 () (tptp.geq @t2 @t1)) % 10.32/10.53 (define @t86 () (tptp.lt @t1 @t2)) % 10.32/10.53 (define @t87 () (tptp.lt @t2 @t1)) % 10.32/10.53 (define @t88 () (tptp.lt @t2 @t12)) % 10.32/10.53 (define @t89 () (tptp.gt @t2 @t1)) % 10.32/10.53 (define @t90 () (tptp.memberP @t12 @t2)) % 10.32/10.53 (define @t91 () (tptp.memberP @t1 @t2)) % 10.32/10.53 (define @t92 () (= (tptp.memberP @t19 @t2) (or @t91 @t90))) % 10.32/10.53 (define @t93 () (forall @t16 (=> @t15 @t92))) % 10.32/10.53 (define @t94 () (=> @t21 @t93)) % 10.32/10.53 (define @t95 () (forall @t7 @t94)) % 10.32/10.53 (define @t96 () (=> @t8 @t95)) % 10.32/10.53 (define @t97 () (forall @t9 @t96)) % 10.32/10.53 (define @t98 () (not (tptp.memberP tptp.nil @t2))) % 10.32/10.53 (define @t99 () (forall @t9 (=> @t8 @t98))) % 10.32/10.53 (define @t100 () (tptp.rearsegP @t2 @t2)) % 10.32/10.53 (define @t101 () (forall @t9 (=> @t17 @t100))) % 10.32/10.53 (define @t102 () (tptp.app @t12 @t2)) % 10.32/10.53 (define @t103 () (tptp.rearsegP @t102 @t1)) % 10.32/10.53 (define @t104 () (=> @t25 @t103)) % 10.32/10.53 (define @t105 () (forall @t16 (=> @t15 @t104))) % 10.32/10.53 (define @t106 () (=> @t21 @t105)) % 10.32/10.53 (define @t107 () (forall @t7 @t106)) % 10.32/10.53 (define @t108 () (=> @t17 @t107)) % 10.32/10.53 (define @t109 () (forall @t9 @t108)) % 10.32/10.53 (define @t110 () (tptp.rearsegP @t2 tptp.nil)) % 10.32/10.53 (define @t111 () (forall @t9 (=> @t17 @t110))) % 10.32/10.53 (define @t112 () (tptp.rearsegP tptp.nil @t2)) % 10.32/10.53 (define @t113 () (=> @t17 (= @t112 @t61))) % 10.32/10.53 (define @t114 () (forall @t9 @t113)) % 10.32/10.53 (define @t115 () (tptp.cons @t2 tptp.nil)) % 10.32/10.53 (define @t116 () (tptp.hd @t1)) % 10.32/10.53 (define @t117 () (= tptp.nil @t1)) % 10.32/10.53 (define @t118 () (not @t117)) % 10.32/10.53 (define @t119 () (tptp.cons @t2 @t1)) % 10.32/10.53 (define @t120 () (= @t12 @t2)) % 10.32/10.53 (define @t121 () (= @t44 (tptp.app @t18 @t2))) % 10.32/10.53 (define @t122 () (forall @t7 (=> @t6 @t121))) % 10.32/10.53 (define @t123 () (=> @t17 @t122)) % 10.32/10.53 (define @t124 () (forall @t9 @t123)) % 10.32/10.53 (define @t125 () (= (tptp.app @t77 @t12) (tptp.app @t2 @t19))) % 10.32/10.53 (define @t126 () (forall @t16 (=> @t15 @t125))) % 10.32/10.53 (define @t127 () (=> @t21 @t126)) % 10.32/10.53 (define @t128 () (forall @t7 @t127)) % 10.32/10.53 (define @t129 () (=> @t17 @t128)) % 10.32/10.53 (define @t130 () (forall @t9 @t129)) % 10.32/10.53 (define @t131 () (and @t117 @t61)) % 10.32/10.53 (define @t132 () (= tptp.nil @t77)) % 10.32/10.53 (define @t133 () (= @t132 @t131)) % 10.32/10.53 (define @t134 () (=> @t21 @t133)) % 10.32/10.53 (define @t135 () (forall @t7 @t134)) % 10.32/10.53 (define @t136 () (=> @t17 @t135)) % 10.32/10.53 (define @t137 () (forall @t9 @t136)) % 10.32/10.53 (define @t138 () (tptp.app @t2 tptp.nil)) % 10.32/10.53 (define @t139 () (=> @t17 (= @t138 @t2))) % 10.32/10.53 (define @t140 () (forall @t9 @t139)) % 10.32/10.53 (define @t141 () (= (tptp.tl @t77) (tptp.app @t67 @t1))) % 10.32/10.53 (define @t142 () (=> @t66 @t141)) % 10.32/10.53 (define @t143 () (=> @t21 @t142)) % 10.32/10.53 (define @t144 () (forall @t7 @t143)) % 10.32/10.53 (define @t145 () (=> @t17 @t144)) % 10.32/10.53 (define @t146 () (forall @t9 @t145)) % 10.32/10.53 (define @t147 () (not (= tptp.nil @t12))) % 10.32/10.53 (define @t148 () (not (= tptp.nil @t10))) % 10.32/10.53 (define @t149 () (or @t148 @t147)) % 10.32/10.53 (define @t150 () (@var "X3" $$unsorted)) % 10.32/10.53 (define @t151 () (@var "X2" $$unsorted)) % 10.32/10.53 (define @t152 () (tptp.leq @t151 @t150)) % 10.32/10.53 (define @t153 () (tptp.memberP @t10 @t150)) % 10.32/10.53 (define @t154 () (= @t151 @t150)) % 10.32/10.53 (define @t155 () (not @t154)) % 10.32/10.53 (define @t156 () (tptp.ssItem @t150)) % 10.32/10.53 (define @t157 () (and @t156 @t155 @t153 @t152)) % 10.32/10.53 (define @t158 () (@list @t150)) % 10.32/10.53 (define @t159 () (exists @t158 @t157)) % 10.32/10.53 (define @t160 () (not (tptp.memberP @t10 @t151))) % 10.32/10.53 (define @t161 () (tptp.cons @t151 tptp.nil)) % 10.32/10.53 (define @t162 () (not (= @t161 @t12))) % 10.32/10.53 (define @t163 () (not (tptp.ssItem @t151))) % 10.32/10.53 (define @t164 () (or @t163 @t162 @t160 @t159)) % 10.32/10.53 (define @t165 () (@list @t151)) % 10.32/10.53 (define @t166 () (forall @t165 @t164)) % 10.32/10.53 (define @t167 () (and @t166 @t149)) % 10.32/10.53 (define @t168 () (@var "X1" $$unsorted)) % 10.32/10.53 (define @t169 () (not (tptp.memberP @t34 @t35))) % 10.32/10.53 (define @t170 () (and @t169 (not (tptp.memberP @t168 @t35)))) % 10.32/10.53 (define @t171 () (tptp.cons @t35 tptp.nil)) % 10.32/10.53 (define @t172 () (tptp.app @t34 @t171)) % 10.32/10.53 (define @t173 () (tptp.app @t172 @t168)) % 10.32/10.53 (define @t174 () (not (= @t173 @t2))) % 10.32/10.53 (define @t175 () (not (tptp.ssList @t168))) % 10.32/10.53 (define @t176 () (or @t175 @t174 @t170)) % 10.32/10.53 (define @t177 () (@list @t168)) % 10.32/10.53 (define @t178 () (forall @t177 @t176)) % 10.32/10.53 (define @t179 () (=> @t37 @t178)) % 10.32/10.53 (define @t180 () (forall @t38 @t179)) % 10.32/10.53 (define @t181 () (tptp.ssItem @t35)) % 10.32/10.53 (define @t182 () (=> @t181 @t180)) % 10.32/10.53 (define @t183 () (forall @t40 @t182)) % 10.32/10.53 (define @t184 () (not (= @t2 @t12))) % 10.32/10.53 (define @t185 () (not (= @t1 @t10))) % 10.32/10.53 (define @t186 () (not @t13)) % 10.32/10.53 (define @t187 () (or @t186 @t185 @t184 @t183 @t167)) % 10.32/10.53 (define @t188 () (forall @t14 @t187)) % 10.32/10.53 (define @t189 () (=> @t15 @t188)) % 10.32/10.53 (define @t190 () (forall @t16 @t189)) % 10.32/10.53 (define @t191 () (=> @t21 @t190)) % 10.32/10.53 (define @t192 () (forall @t7 @t191)) % 10.32/10.53 (define @t193 () (=> @t17 @t192)) % 10.32/10.53 (define @t194 () (forall @t9 @t193)) % 10.32/10.53 (define @t195 () (not @t194)) % 10.32/10.53 (define @t196 () (@var "BOUND_VARIABLE_11204" $$unsorted)) % 10.32/10.53 (define @t197 () (@var "BOUND_VARIABLE_11200" $$unsorted)) % 10.32/10.53 (define @t198 () (@var "BOUND_VARIABLE_11202" $$unsorted)) % 10.32/10.53 (define @t199 () (tptp.app (tptp.app @t198 (tptp.cons @t197 tptp.nil)) @t196)) % 10.32/10.53 (define @t200 () (@var "BOUND_VARIABLE_11223" $$unsorted)) % 10.32/10.53 (define @t201 () (not (= tptp.nil @t200))) % 10.32/10.53 (define @t202 () (@var "BOUND_VARIABLE_11225" $$unsorted)) % 10.32/10.53 (define @t203 () (not @t156)) % 10.32/10.53 (define @t204 () (not (forall @t158 (or @t203 (= @t150 @t202) (not (tptp.memberP @t200 @t150)) (not (tptp.leq @t202 @t150)))))) % 10.32/10.53 (define @t205 () (not (tptp.memberP @t200 @t202))) % 10.32/10.53 (define @t206 () (tptp.cons @t202 tptp.nil)) % 10.32/10.53 (define @t207 () (not (tptp.ssItem @t202))) % 10.32/10.53 (define @t208 () (or @t207 (not (= @t199 @t206)) @t205 @t204)) % 10.32/10.53 (define @t209 () (and @t208 (or @t201 (not (= tptp.nil @t199))))) % 10.32/10.53 (define @t210 () (not (tptp.ssList @t200))) % 10.32/10.53 (define @t211 () (and (not (tptp.memberP @t198 @t197)) (not (tptp.memberP @t196 @t197)))) % 10.32/10.53 (define @t212 () (not (tptp.ssList @t196))) % 10.32/10.53 (define @t213 () (not (tptp.ssList @t198))) % 10.32/10.53 (define @t214 () (not (tptp.ssItem @t197))) % 10.32/10.53 (define @t215 () (not (tptp.ssList @t199))) % 10.32/10.53 (define @t216 () (or @t215 @t214 @t213 @t212 @t211 @t210 @t209)) % 10.32/10.53 (define @t217 () (@list @t197 @t198 @t196 @t200 @t202)) % 10.32/10.53 (define @t218 () (forall @t217 @t216)) % 10.32/10.53 (define @t219 () (@quantifiers_skolemize @t218 0)) % 10.32/10.53 (define @t220 () (not (= @t199 tptp.nil))) % 10.32/10.53 (define @t221 () (or @t201 @t220)) % 10.32/10.53 (define @t222 () (and @t208 @t221)) % 10.32/10.53 (define @t223 () (not (= @t199 @t199))) % 10.32/10.53 (define @t224 () (or @t215 @t214 @t213 @t212 @t223 @t211 @t210 @t222)) % 10.32/10.53 (define @t225 () (= @t2 tptp.nil)) % 10.32/10.53 (define @t226 () (not @t225)) % 10.32/10.53 (define @t227 () (or @t207 (not (= @t2 @t206)) @t205 @t204)) % 10.32/10.53 (define @t228 () (and @t227 (or @t201 @t226))) % 10.32/10.53 (define @t229 () (not (= @t2 @t199))) % 10.32/10.53 (define @t230 () (not @t17)) % 10.32/10.53 (define @t231 () (or @t229 @t230 @t214 @t213 @t212 @t229 @t211 @t210 @t228)) % 10.32/10.53 (define @t232 () (or @t230 @t214 @t213 @t212 @t229 @t211 @t210 @t228)) % 10.32/10.53 (define @t233 () (forall @t9 @t232)) % 10.32/10.53 (define @t234 () (forall @t217 @t233)) % 10.32/10.53 (define @t235 () (forall (@list @t197 @t198 @t196 @t200 @t202 @t2) @t232)) % 10.32/10.53 (define @t236 () (@list @t2 @t197 @t198 @t196 @t200 @t202)) % 10.32/10.53 (define @t237 () (not (= @t200 tptp.nil))) % 10.32/10.53 (define @t238 () (or @t237 @t226)) % 10.32/10.53 (define @t239 () (and @t227 @t238)) % 10.32/10.53 (define @t240 () (or @t230 @t214 @t213 @t212 @t229 @t211 @t210 @t239)) % 10.32/10.53 (define @t241 () (or @t210 @t239)) % 10.32/10.53 (define @t242 () (or @t214 @t213 @t212 @t229 @t211)) % 10.32/10.53 (define @t243 () (or @t230 @t242 @t241)) % 10.32/10.53 (define @t244 () (forall @t236 @t243)) % 10.32/10.53 (define @t245 () (forall @t217 @t243)) % 10.32/10.53 (define @t246 () (forall (@list @t200 @t202) @t241)) % 10.32/10.53 (define @t247 () (@var "BOUND_VARIABLE_11175" $$unsorted)) % 10.32/10.53 (define @t248 () (forall (@list @t197 @t198 @t196) @t242)) % 10.32/10.53 (define @t249 () (@var "BOUND_VARIABLE_10987" $$unsorted)) % 10.32/10.53 (define @t250 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 10.32/10.53 (define @t251 () (or @t230 @t248 @t246)) % 10.32/10.53 (define @t252 () (= @t1 tptp.nil)) % 10.32/10.53 (define @t253 () (not @t252)) % 10.32/10.53 (define @t254 () (or @t253 @t226)) % 10.32/10.53 (define @t255 () (not (tptp.memberP @t1 @t150))) % 10.32/10.53 (define @t256 () (or (not (tptp.ssItem @t247)) (not (= @t2 (tptp.cons @t247 tptp.nil))) (not (tptp.memberP @t1 @t247)) (not (forall @t158 (or @t203 (= @t150 @t247) @t255 (not (tptp.leq @t247 @t150))))))) % 10.32/10.53 (define @t257 () (and @t256 @t254)) % 10.32/10.53 (define @t258 () (not @t21)) % 10.32/10.53 (define @t259 () (or @t258 @t257)) % 10.32/10.53 (define @t260 () (forall (@list @t1 @t247) @t259)) % 10.32/10.53 (define @t261 () (and (not (tptp.memberP @t250 @t35)) (not (tptp.memberP @t249 @t35)))) % 10.32/10.53 (define @t262 () (not (= @t2 (tptp.app (tptp.app @t250 @t171) @t249)))) % 10.32/10.53 (define @t263 () (not (tptp.ssList @t249))) % 10.32/10.53 (define @t264 () (not (tptp.ssList @t250))) % 10.32/10.53 (define @t265 () (not @t181)) % 10.32/10.53 (define @t266 () (or @t265 @t264 @t263 @t262 @t261)) % 10.32/10.53 (define @t267 () (@list @t35 @t250 @t249)) % 10.32/10.53 (define @t268 () (forall @t267 @t266)) % 10.32/10.53 (define @t269 () (or @t230 @t268 @t260)) % 10.32/10.53 (define @t270 () (or @t268 @t230 @t260)) % 10.32/10.53 (define @t271 () (@list @t247)) % 10.32/10.53 (define @t272 () (forall @t271 @t259)) % 10.32/10.53 (define @t273 () (forall @t271 @t254)) % 10.32/10.53 (define @t274 () (forall @t271 @t256)) % 10.32/10.53 (define @t275 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 10.32/10.53 (define @t276 () (@list @t275)) % 10.32/10.53 (define @t277 () (and @t274 @t273)) % 10.32/10.53 (define @t278 () (forall @t271 @t257)) % 10.32/10.53 (define @t279 () (or @t258 @t278)) % 10.32/10.53 (define @t280 () (and (forall (@list @t275) (or (not (tptp.ssItem @t275)) (not (= @t2 (tptp.cons @t275 tptp.nil))) (not (tptp.memberP @t1 @t275)) (not (forall @t158 (or @t203 (= @t150 @t275) @t255 (not (tptp.leq @t275 @t150))))))) @t254)) % 10.32/10.53 (define @t281 () (or @t258 @t280)) % 10.32/10.53 (define @t282 () (forall @t7 @t281)) % 10.32/10.53 (define @t283 () (or @t268 @t230 @t282)) % 10.32/10.53 (define @t284 () (or @t268 @t230 @t281)) % 10.32/10.53 (define @t285 () (or @t258 @t268 @t230 @t280)) % 10.32/10.53 (define @t286 () (or @t268 @t258 @t230 @t280)) % 10.32/10.53 (define @t287 () (@var "BOUND_VARIABLE_11109" $$unsorted)) % 10.32/10.53 (define @t288 () (@list @t287)) % 10.32/10.53 (define @t289 () (forall @t288 @t254)) % 10.32/10.53 (define @t290 () (not (forall @t158 (or @t203 (= @t150 @t287) @t255 (not (tptp.leq @t287 @t150)))))) % 10.32/10.53 (define @t291 () (not (tptp.memberP @t1 @t287))) % 10.32/10.53 (define @t292 () (tptp.cons @t287 tptp.nil)) % 10.32/10.53 (define @t293 () (not (tptp.ssItem @t287))) % 10.32/10.53 (define @t294 () (or @t293 (not (= @t2 @t292)) @t291 @t290)) % 10.32/10.53 (define @t295 () (forall @t288 @t294)) % 10.32/10.53 (define @t296 () (@list @t287)) % 10.32/10.53 (define @t297 () (and @t295 @t289)) % 10.32/10.53 (define @t298 () (and @t294 @t254)) % 10.32/10.53 (define @t299 () (forall @t288 @t298)) % 10.32/10.53 (define @t300 () (or @t230 @t299)) % 10.32/10.53 (define @t301 () (or @t230 @t298)) % 10.32/10.53 (define @t302 () (not (= @t2 @t2))) % 10.32/10.53 (define @t303 () (or @t230 @t302 @t298)) % 10.32/10.53 (define @t304 () (not (= @t12 tptp.nil))) % 10.32/10.53 (define @t305 () (or @t253 @t304)) % 10.32/10.53 (define @t306 () (or @t293 (not (= @t12 @t292)) @t291 @t290)) % 10.32/10.53 (define @t307 () (and @t306 @t305)) % 10.32/10.53 (define @t308 () (not @t15)) % 10.32/10.53 (define @t309 () (or @t184 @t308 @t184 @t307)) % 10.32/10.53 (define @t310 () (or @t308 @t184 @t307)) % 10.32/10.53 (define @t311 () (forall @t16 @t310)) % 10.32/10.53 (define @t312 () (forall @t288 @t311)) % 10.32/10.53 (define @t313 () (forall (@list @t287 @t12) @t310)) % 10.32/10.53 (define @t314 () (forall (@list @t12 @t287) @t310)) % 10.32/10.53 (define @t315 () (forall @t288 @t310)) % 10.32/10.53 (define @t316 () (forall @t288 @t305)) % 10.32/10.53 (define @t317 () (forall @t288 @t306)) % 10.32/10.53 (define @t318 () (@var "BOUND_VARIABLE_11078" $$unsorted)) % 10.32/10.53 (define @t319 () (@list @t318)) % 10.32/10.53 (define @t320 () (and @t317 @t316)) % 10.32/10.53 (define @t321 () (forall @t288 @t307)) % 10.32/10.53 (define @t322 () (or @t308 @t184 @t321)) % 10.32/10.53 (define @t323 () (and (forall (@list @t318) (or (not (tptp.ssItem @t318)) (not (= @t12 (tptp.cons @t318 tptp.nil))) (not (tptp.memberP @t1 @t318)) (not (forall @t158 (or @t203 (= @t150 @t318) @t255 (not (tptp.leq @t318 @t150))))))) @t305)) % 10.32/10.53 (define @t324 () (or @t308 @t184 @t323)) % 10.32/10.53 (define @t325 () (forall @t16 @t324)) % 10.32/10.53 (define @t326 () (or @t268 @t258 @t325)) % 10.32/10.53 (define @t327 () (or @t268 @t258 @t324)) % 10.32/10.53 (define @t328 () (or @t308 @t184 @t268 @t258 @t323)) % 10.32/10.53 (define @t329 () (or @t184 @t268 @t258 @t323)) % 10.32/10.53 (define @t330 () (@var "BOUND_VARIABLE_11032" $$unsorted)) % 10.32/10.53 (define @t331 () (@list @t330)) % 10.32/10.53 (define @t332 () (forall @t331 @t305)) % 10.32/10.53 (define @t333 () (not (tptp.leq @t330 @t150))) % 10.32/10.53 (define @t334 () (= @t150 @t330)) % 10.32/10.53 (define @t335 () (not (= @t12 (tptp.cons @t330 tptp.nil)))) % 10.32/10.53 (define @t336 () (not (tptp.ssItem @t330))) % 10.32/10.53 (define @t337 () (or @t336 @t335 (not (tptp.memberP @t1 @t330)) (not (forall @t158 (or @t203 @t334 @t255 @t333))))) % 10.32/10.53 (define @t338 () (forall @t331 @t337)) % 10.32/10.53 (define @t339 () (@list @t330)) % 10.32/10.53 (define @t340 () (and @t338 @t332)) % 10.32/10.53 (define @t341 () (and @t337 @t305)) % 10.32/10.53 (define @t342 () (forall @t331 @t341)) % 10.32/10.53 (define @t343 () (or @t258 @t342)) % 10.32/10.53 (define @t344 () (or @t258 @t341)) % 10.32/10.53 (define @t345 () (not (= @t1 @t1))) % 10.32/10.53 (define @t346 () (or @t258 @t345 @t341)) % 10.32/10.53 (define @t347 () (or (not (= @t10 tptp.nil)) @t304)) % 10.32/10.53 (define @t348 () (not @t153)) % 10.32/10.53 (define @t349 () (not (tptp.memberP @t10 @t330))) % 10.32/10.53 (define @t350 () (and (or @t336 @t335 @t349 (not (forall @t158 (or @t203 @t334 @t348 @t333)))) @t347)) % 10.32/10.53 (define @t351 () (or @t185 @t186 @t185 @t350)) % 10.32/10.53 (define @t352 () (or @t186 @t185 @t350)) % 10.32/10.53 (define @t353 () (forall @t14 @t352)) % 10.32/10.53 (define @t354 () (forall @t331 @t353)) % 10.32/10.53 (define @t355 () (forall (@list @t330 @t10) @t352)) % 10.32/10.53 (define @t356 () (@list @t10 @t330)) % 10.32/10.53 (define @t357 () (or @t203 (= @t330 @t150) @t348 @t333)) % 10.32/10.53 (define @t358 () (forall @t158 @t357)) % 10.32/10.53 (define @t359 () (not @t358)) % 10.32/10.53 (define @t360 () (or @t336 @t335 @t349 @t359)) % 10.32/10.53 (define @t361 () (and @t360 @t347)) % 10.32/10.53 (define @t362 () (or @t186 @t185 @t361)) % 10.32/10.53 (define @t363 () (forall @t356 @t362)) % 10.32/10.53 (define @t364 () (forall @t331 @t362)) % 10.32/10.53 (define @t365 () (forall @t331 @t347)) % 10.32/10.53 (define @t366 () (forall @t331 @t360)) % 10.32/10.53 (define @t367 () (and @t366 @t365)) % 10.32/10.53 (define @t368 () (forall @t331 @t361)) % 10.32/10.53 (define @t369 () (or @t186 @t185 @t368)) % 10.32/10.53 (define @t370 () (not @t152)) % 10.32/10.53 (define @t371 () (and (forall @t165 (or @t163 (not (= @t12 @t161)) @t160 (not (forall @t158 (or @t203 @t154 @t348 @t370))))) @t347)) % 10.32/10.53 (define @t372 () (or @t186 @t185 @t371)) % 10.32/10.53 (define @t373 () (forall @t14 @t372)) % 10.32/10.53 (define @t374 () (or @t184 @t268 @t373)) % 10.32/10.53 (define @t375 () (or @t184 @t268 @t372)) % 10.32/10.53 (define @t376 () (or @t186 @t185 @t184 @t268 @t371)) % 10.32/10.53 (define @t377 () (not @t155)) % 10.32/10.53 (define @t378 () (or @t203 @t377 @t348 @t370)) % 10.32/10.53 (define @t379 () (forall @t158 (not @t157))) % 10.32/10.53 (define @t380 () (not @t379)) % 10.32/10.53 (define @t381 () (or @t264 @t263 @t262 @t261)) % 10.32/10.53 (define @t382 () (or @t265 @t381)) % 10.32/10.53 (define @t383 () (forall @t267 @t382)) % 10.32/10.53 (define @t384 () (@list @t250 @t249)) % 10.32/10.53 (define @t385 () (forall @t384 @t382)) % 10.32/10.53 (define @t386 () (forall @t384 @t381)) % 10.32/10.53 (define @t387 () (@var "BOUND_VARIABLE_10964" $$unsorted)) % 10.32/10.53 (define @t388 () (or @t265 @t386)) % 10.32/10.53 (define @t389 () (and @t169 (not (tptp.memberP @t387 @t35)))) % 10.32/10.53 (define @t390 () (not (= @t2 (tptp.app @t172 @t387)))) % 10.32/10.53 (define @t391 () (not (tptp.ssList @t387))) % 10.32/10.53 (define @t392 () (not @t37)) % 10.32/10.53 (define @t393 () (or @t392 @t391 @t390 @t389)) % 10.32/10.53 (define @t394 () (@list @t34 @t387)) % 10.32/10.53 (define @t395 () (forall @t394 @t393)) % 10.32/10.53 (define @t396 () (or @t391 @t390 @t389)) % 10.32/10.53 (define @t397 () (or @t392 @t396)) % 10.32/10.53 (define @t398 () (forall @t394 @t397)) % 10.32/10.53 (define @t399 () (@list @t387)) % 10.32/10.53 (define @t400 () (forall @t399 @t397)) % 10.32/10.53 (define @t401 () (forall @t399 @t396)) % 10.32/10.53 (define @t402 () (or @t392 @t401)) % 10.32/10.53 (define @t403 () (forall @t177 (or @t175 (not (= @t2 @t173)) @t170))) % 10.32/10.53 (define @t404 () (tptp.ssItem @t219)) % 10.32/10.53 (define @t405 () (@quantifiers_skolemize @t218 2)) % 10.32/10.53 (define @t406 () (tptp.cons @t219 tptp.nil)) % 10.32/10.53 (define @t407 () (@quantifiers_skolemize @t218 1)) % 10.32/10.53 (define @t408 () (tptp.app @t407 @t406)) % 10.32/10.53 (define @t409 () (tptp.app @t408 @t405)) % 10.32/10.53 (define @t410 () (= tptp.nil @t409)) % 10.32/10.53 (define @t411 () (not @t410)) % 10.32/10.53 (define @t412 () (@quantifiers_skolemize @t218 3)) % 10.32/10.53 (define @t413 () (or (not (= tptp.nil @t412)) @t411)) % 10.32/10.53 (define @t414 () (@quantifiers_skolemize @t218 4)) % 10.32/10.53 (define @t415 () (tptp.cons @t414 tptp.nil)) % 10.32/10.53 (define @t416 () (= @t409 @t415)) % 10.32/10.53 (define @t417 () (not @t416)) % 10.32/10.53 (define @t418 () (tptp.ssItem @t414)) % 10.32/10.53 (define @t419 () (not @t418)) % 10.32/10.53 (define @t420 () (or @t419 @t417 (not (tptp.memberP @t412 @t414)) (not (forall @t158 (or @t203 (= @t150 @t414) (not (tptp.memberP @t412 @t150)) (not (tptp.leq @t414 @t150))))))) % 10.32/10.53 (define @t421 () (and @t420 @t413)) % 10.32/10.53 (define @t422 () (tptp.memberP @t405 @t219)) % 10.32/10.53 (define @t423 () (not @t422)) % 10.32/10.53 (define @t424 () (tptp.memberP @t407 @t219)) % 10.32/10.53 (define @t425 () (not @t424)) % 10.32/10.53 (define @t426 () (and @t425 @t423)) % 10.32/10.53 (define @t427 () (tptp.ssList @t405)) % 10.32/10.53 (define @t428 () (not @t427)) % 10.32/10.53 (define @t429 () (tptp.ssList @t407)) % 10.32/10.53 (define @t430 () (not @t429)) % 10.32/10.53 (define @t431 () (not @t404)) % 10.32/10.53 (define @t432 () (or (not (tptp.ssList @t409)) @t431 @t430 @t428 @t426 (not (tptp.ssList @t412)) @t421)) % 10.32/10.53 (define @t433 () (@list true)) % 10.32/10.53 (define @t434 () (@list @t432)) % 10.32/10.53 (define @t435 () (tptp.memberP tptp.nil @t219)) % 10.32/10.53 (define @t436 () (not @t435)) % 10.32/10.53 (define @t437 () (or @t431 @t436)) % 10.32/10.53 (define @t438 () (@list false false)) % 10.32/10.53 (define @t439 () (@var "BOUND_VARIABLE_9686" $$unsorted)) % 10.32/10.53 (define @t440 () (@var "BOUND_VARIABLE_9684" $$unsorted)) % 10.32/10.53 (define @t441 () (= (tptp.memberP (tptp.app @t440 @t439) @t2) (or (tptp.memberP @t440 @t2) (tptp.memberP @t439 @t2)))) % 10.32/10.53 (define @t442 () (not (tptp.ssList @t439))) % 10.32/10.53 (define @t443 () (not (tptp.ssList @t440))) % 10.32/10.53 (define @t444 () (not @t8)) % 10.32/10.53 (define @t445 () (or @t443 @t442 @t441)) % 10.32/10.53 (define @t446 () (or @t444 @t445)) % 10.32/10.53 (define @t447 () (forall (@list @t2 @t440 @t439) @t446)) % 10.32/10.53 (define @t448 () (@list @t440 @t439)) % 10.32/10.53 (define @t449 () (forall @t448 @t446)) % 10.32/10.53 (define @t450 () (forall @t448 @t445)) % 10.32/10.53 (define @t451 () (@var "BOUND_VARIABLE_9665" $$unsorted)) % 10.32/10.53 (define @t452 () (or @t444 @t450)) % 10.32/10.53 (define @t453 () (= (tptp.memberP (tptp.app @t1 @t451) @t2) (or @t91 (tptp.memberP @t451 @t2)))) % 10.32/10.53 (define @t454 () (not (tptp.ssList @t451))) % 10.32/10.53 (define @t455 () (or @t258 @t454 @t453)) % 10.32/10.53 (define @t456 () (@list @t1 @t451)) % 10.32/10.53 (define @t457 () (forall @t456 @t455)) % 10.32/10.53 (define @t458 () (or @t454 @t453)) % 10.32/10.53 (define @t459 () (or @t258 @t458)) % 10.32/10.53 (define @t460 () (forall @t456 @t459)) % 10.32/10.53 (define @t461 () (@list @t451)) % 10.32/10.53 (define @t462 () (forall @t461 @t459)) % 10.32/10.53 (define @t463 () (forall @t461 @t458)) % 10.32/10.53 (define @t464 () (@list @t12)) % 10.32/10.53 (define @t465 () (or @t258 @t463)) % 10.32/10.53 (define @t466 () (forall @t16 (or @t308 @t92))) % 10.32/10.53 (define @t467 () (tptp.tl @t408)) % 10.32/10.53 (define @t468 () (or @t230 @t225 @t68)) % 10.32/10.53 (define @t469 () (not @t226)) % 10.32/10.53 (define @t470 () (=> @t226 @t68)) % 10.32/10.53 (define @t471 () (tptp.ssList @t467)) % 10.32/10.53 (define @t472 () (tptp.ssList @t408)) % 10.32/10.53 (define @t473 () (not @t472)) % 10.32/10.53 (define @t474 () (= @t408 tptp.nil)) % 10.32/10.53 (define @t475 () (or @t473 @t474 @t471)) % 10.32/10.53 (define @t476 () (forall @t9 @t468)) % 10.32/10.53 (define @t477 () (= tptp.nil @t408)) % 10.32/10.53 (define @t478 () (or @t473 @t477 @t471)) % 10.32/10.53 (define @t479 () (@list false)) % 10.32/10.53 (define @t480 () (@var "BOUND_VARIABLE_10626" $$unsorted)) % 10.32/10.53 (define @t481 () (and (= @t480 tptp.nil) @t225)) % 10.32/10.53 (define @t482 () (= tptp.nil (tptp.app @t2 @t480))) % 10.32/10.53 (define @t483 () (= @t482 @t481)) % 10.32/10.53 (define @t484 () (not (tptp.ssList @t480))) % 10.32/10.53 (define @t485 () (or @t230 @t484 @t483)) % 10.32/10.53 (define @t486 () (or @t484 @t483)) % 10.32/10.53 (define @t487 () (or @t230 @t486)) % 10.32/10.53 (define @t488 () (@list @t2 @t480)) % 10.32/10.53 (define @t489 () (forall @t488 @t487)) % 10.32/10.53 (define @t490 () (@list @t480)) % 10.32/10.53 (define @t491 () (forall @t490 @t487)) % 10.32/10.53 (define @t492 () (forall @t490 @t486)) % 10.32/10.53 (define @t493 () (@list @t1)) % 10.32/10.53 (define @t494 () (or @t230 @t492)) % 10.32/10.53 (define @t495 () (= @t132 (and @t252 @t225))) % 10.32/10.53 (define @t496 () (forall @t7 (or @t258 @t495))) % 10.32/10.53 (define @t497 () (= tptp.nil @t406)) % 10.32/10.53 (define @t498 () (= @t407 tptp.nil)) % 10.32/10.53 (define @t499 () (and @t497 @t498)) % 10.32/10.53 (define @t500 () (= @t477 @t499)) % 10.32/10.53 (define @t501 () (tptp.ssList @t406)) % 10.32/10.53 (define @t502 () (not @t501)) % 10.32/10.53 (define @t503 () (or @t430 @t502 @t500)) % 10.32/10.53 (define @t504 () (forall @t488 (or @t230 @t484 (= @t482 (and (= tptp.nil @t480) @t225))))) % 10.32/10.53 (define @t505 () (@list @t407 @t406)) % 10.32/10.53 (define @t506 () (= tptp.nil @t407)) % 10.32/10.53 (define @t507 () (and @t497 @t506)) % 10.32/10.53 (define @t508 () (= @t477 @t507)) % 10.32/10.53 (define @t509 () (or @t430 @t502 @t508)) % 10.32/10.53 (define @t510 () (@list @t504)) % 10.32/10.53 (define @t511 () (@var "BOUND_VARIABLE_9154" $$unsorted)) % 10.32/10.53 (define @t512 () (tptp.ssList (tptp.cons @t511 @t2))) % 10.32/10.53 (define @t513 () (not (tptp.ssItem @t511))) % 10.32/10.53 (define @t514 () (or @t513 @t512)) % 10.32/10.53 (define @t515 () (or @t230 @t514)) % 10.32/10.53 (define @t516 () (forall (@list @t2 @t511) @t515)) % 10.32/10.53 (define @t517 () (@list @t511)) % 10.32/10.53 (define @t518 () (forall @t517 @t515)) % 10.32/10.53 (define @t519 () (forall @t517 @t514)) % 10.32/10.53 (define @t520 () (or @t230 @t519)) % 10.32/10.53 (define @t521 () (not @t6)) % 10.32/10.53 (define @t522 () (forall @t7 (or @t521 @t45))) % 10.32/10.53 (define @t523 () (@list tptp.nil @t219)) % 10.32/10.53 (define @t524 () (not @t49)) % 10.32/10.53 (define @t525 () (or @t524 @t431 @t501)) % 10.32/10.53 (define @t526 () (@list false false false)) % 10.32/10.53 (define @t527 () (@var "BOUND_VARIABLE_9177" $$unsorted)) % 10.32/10.53 (define @t528 () (not (= @t2 (tptp.cons @t527 @t2)))) % 10.32/10.53 (define @t529 () (not (tptp.ssItem @t527))) % 10.32/10.53 (define @t530 () (or @t529 @t528)) % 10.32/10.53 (define @t531 () (or @t230 @t530)) % 10.32/10.53 (define @t532 () (forall (@list @t2 @t527) @t531)) % 10.32/10.53 (define @t533 () (@list @t527)) % 10.32/10.53 (define @t534 () (forall @t533 @t531)) % 10.32/10.53 (define @t535 () (forall @t533 @t530)) % 10.32/10.53 (define @t536 () (or @t230 @t535)) % 10.32/10.53 (define @t537 () (not (= @t2 @t44))) % 10.32/10.53 (define @t538 () (forall @t7 (or @t521 @t537))) % 10.32/10.53 (define @t539 () (not @t497)) % 10.32/10.53 (define @t540 () (or @t524 @t431 @t539)) % 10.32/10.53 (define @t541 () (not @t507)) % 10.32/10.53 (define @t542 () (@list @t497)) % 10.32/10.53 (define @t543 () (not @t477)) % 10.32/10.53 (define @t544 () (@list true false)) % 10.32/10.53 (define @t545 () (@var "BOUND_VARIABLE_9398" $$unsorted)) % 10.32/10.53 (define @t546 () (tptp.ssList (tptp.app @t2 @t545))) % 10.32/10.53 (define @t547 () (not (tptp.ssList @t545))) % 10.32/10.53 (define @t548 () (or @t547 @t546)) % 10.32/10.53 (define @t549 () (or @t230 @t548)) % 10.32/10.53 (define @t550 () (forall (@list @t2 @t545) @t549)) % 10.32/10.53 (define @t551 () (@list @t545)) % 10.32/10.53 (define @t552 () (forall @t551 @t549)) % 10.32/10.53 (define @t553 () (forall @t551 @t548)) % 10.32/10.53 (define @t554 () (or @t230 @t553)) % 10.32/10.53 (define @t555 () (forall @t7 (or @t258 @t78))) % 10.32/10.53 (define @t556 () (or @t430 @t502 @t472)) % 10.32/10.53 (define @t557 () (or (tptp.memberP @t467 @t219) @t422)) % 10.32/10.53 (define @t558 () (tptp.app @t467 @t405)) % 10.32/10.53 (define @t559 () (tptp.memberP @t558 @t219)) % 10.32/10.53 (define @t560 () (= @t559 @t557)) % 10.32/10.53 (define @t561 () (not @t471)) % 10.32/10.53 (define @t562 () (or @t431 @t561 @t428 @t560)) % 10.32/10.53 (define @t563 () (@list false false false false)) % 10.32/10.53 (define @t564 () (@var "BOUND_VARIABLE_9378" $$unsorted)) % 10.32/10.53 (define @t565 () (= @t2 (tptp.tl (tptp.cons @t564 @t2)))) % 10.32/10.53 (define @t566 () (not (tptp.ssItem @t564))) % 10.32/10.53 (define @t567 () (or @t566 @t565)) % 10.32/10.53 (define @t568 () (or @t230 @t567)) % 10.32/10.53 (define @t569 () (forall (@list @t2 @t564) @t568)) % 10.32/10.53 (define @t570 () (@list @t564)) % 10.32/10.53 (define @t571 () (forall @t570 @t568)) % 10.32/10.53 (define @t572 () (forall @t570 @t567)) % 10.32/10.53 (define @t573 () (or @t230 @t572)) % 10.32/10.53 (define @t574 () (= @t2 @t72)) % 10.32/10.53 (define @t575 () (forall @t7 (or @t521 @t574))) % 10.32/10.53 (define @t576 () (= tptp.nil @t405)) % 10.32/10.53 (define @t577 () (and @t576 @t474)) % 10.32/10.53 (define @t578 () (= @t410 @t577)) % 10.32/10.53 (define @t579 () (or @t473 @t428 @t578)) % 10.32/10.53 (define @t580 () (@list @t408 @t405)) % 10.32/10.53 (define @t581 () (and @t576 @t477)) % 10.32/10.53 (define @t582 () (= @t410 @t581)) % 10.32/10.53 (define @t583 () (or @t473 @t428 @t582)) % 10.32/10.53 (define @t584 () (not @t581)) % 10.32/10.53 (define @t585 () (@list @t420)) % 10.32/10.53 (define @t586 () (tptp.tl @t415)) % 10.32/10.53 (define @t587 () (= tptp.nil @t586)) % 10.32/10.53 (define @t588 () (or @t524 @t419 @t587)) % 10.32/10.53 (define @t589 () (tptp.tl @t409)) % 10.32/10.53 (define @t590 () (@var "BOUND_VARIABLE_10693" $$unsorted)) % 10.32/10.53 (define @t591 () (= (tptp.tl (tptp.app @t2 @t590)) (tptp.app @t67 @t590))) % 10.32/10.53 (define @t592 () (not (tptp.ssList @t590))) % 10.32/10.53 (define @t593 () (or @t230 @t225 @t592 @t591)) % 10.32/10.53 (define @t594 () (or @t592 @t591)) % 10.32/10.53 (define @t595 () (or @t230 @t225 @t594)) % 10.32/10.53 (define @t596 () (@list @t2 @t590)) % 10.32/10.53 (define @t597 () (forall @t596 @t595)) % 10.32/10.53 (define @t598 () (@list @t590)) % 10.32/10.53 (define @t599 () (forall @t598 @t595)) % 10.32/10.53 (define @t600 () (forall @t598 @t594)) % 10.32/10.53 (define @t601 () (or @t230 @t225 @t600)) % 10.32/10.53 (define @t602 () (or @t258 @t141)) % 10.32/10.53 (define @t603 () (forall @t7 @t602)) % 10.32/10.53 (define @t604 () (or @t230 @t225 @t603)) % 10.32/10.53 (define @t605 () (or @t225 @t603)) % 10.32/10.53 (define @t606 () (or @t225 @t602)) % 10.32/10.53 (define @t607 () (or @t258 @t225 @t141)) % 10.32/10.53 (define @t608 () (=> @t226 @t141)) % 10.32/10.53 (define @t609 () (= @t589 @t558)) % 10.32/10.53 (define @t610 () (or @t473 @t474 @t428 @t609)) % 10.32/10.53 (define @t611 () (forall @t596 @t593)) % 10.32/10.53 (define @t612 () (or @t473 @t477 @t428 @t609)) % 10.32/10.53 (define @t613 () (@list @t611)) % 10.32/10.53 (define @t614 () (not @t557)) % 10.32/10.53 (define @t615 () (@var "BOUND_VARIABLE_9291" $$unsorted)) % 10.32/10.53 (define @t616 () (tptp.cons @t615 @t1)) % 10.32/10.53 (define @t617 () (not (= @t2 @t616))) % 10.32/10.53 (define @t618 () (not (tptp.ssItem @t615))) % 10.32/10.53 (define @t619 () (or @t258 @t618 @t617)) % 10.32/10.53 (define @t620 () (@list @t1 @t615)) % 10.32/10.53 (define @t621 () (not (forall @t620 @t619))) % 10.32/10.53 (define @t622 () (or @t230 @t225 @t621)) % 10.32/10.53 (define @t623 () (or @t225 @t621)) % 10.32/10.53 (define @t624 () (or @t618 @t617)) % 10.32/10.53 (define @t625 () (or @t258 @t624)) % 10.32/10.53 (define @t626 () (forall @t620 @t625)) % 10.32/10.53 (define @t627 () (@list @t615)) % 10.32/10.53 (define @t628 () (forall @t627 @t625)) % 10.32/10.53 (define @t629 () (forall @t627 @t624)) % 10.32/10.53 (define @t630 () (or @t258 @t629)) % 10.32/10.53 (define @t631 () (= @t2 @t56)) % 10.32/10.53 (define @t632 () (forall @t16 (or (not @t41) (not @t631)))) % 10.32/10.53 (define @t633 () (not @t632)) % 10.32/10.53 (define @t634 () (and @t21 @t633)) % 10.32/10.53 (define @t635 () (forall @t7 (not @t634))) % 10.32/10.53 (define @t636 () (not @t635)) % 10.32/10.53 (define @t637 () (and @t41 @t631)) % 10.32/10.53 (define @t638 () (forall @t16 (not @t637))) % 10.32/10.53 (define @t639 () (not @t638)) % 10.32/10.53 (define @t640 () (not (= @t407 @t616))) % 10.32/10.53 (define @t641 () (or @t258 @t618 @t640)) % 10.32/10.53 (define @t642 () (forall @t620 @t641)) % 10.32/10.53 (define @t643 () (not @t642)) % 10.32/10.53 (define @t644 () (or @t430 @t498 @t643)) % 10.32/10.53 (define @t645 () (forall @t9 @t622)) % 10.32/10.53 (define @t646 () (forall @t620 (or @t258 @t618 (not (= @t616 @t407))))) % 10.32/10.53 (define @t647 () (not @t646)) % 10.32/10.53 (define @t648 () (or @t430 @t506 @t647)) % 10.32/10.53 (define @t649 () (@list @t645)) % 10.32/10.53 (define @t650 () (@list @t406 @t405)) % 10.32/10.53 (define @t651 () (tptp.app @t406 @t405)) % 10.32/10.53 (define @t652 () (tptp.ssList @t651)) % 10.32/10.53 (define @t653 () (or @t502 @t428 @t652)) % 10.32/10.53 (define @t654 () (tptp.tl @t407)) % 10.32/10.53 (define @t655 () (tptp.app @t654 @t651)) % 10.32/10.53 (define @t656 () (tptp.app @t407 @t651)) % 10.32/10.53 (define @t657 () (= (tptp.tl @t656) @t655)) % 10.32/10.53 (define @t658 () (not @t652)) % 10.32/10.53 (define @t659 () (or @t430 @t498 @t658 @t657)) % 10.32/10.53 (define @t660 () (or @t430 @t506 @t658 @t657)) % 10.32/10.53 (define @t661 () (@quantifiers_skolemize @t646 0)) % 10.32/10.53 (define @t662 () (@quantifiers_skolemize @t646 1)) % 10.32/10.53 (define @t663 () (tptp.cons @t662 @t661)) % 10.32/10.53 (define @t664 () (= @t407 @t663)) % 10.32/10.53 (define @t665 () (not @t664)) % 10.32/10.53 (define @t666 () (tptp.ssItem @t662)) % 10.32/10.53 (define @t667 () (not @t666)) % 10.32/10.53 (define @t668 () (tptp.ssList @t661)) % 10.32/10.53 (define @t669 () (not @t668)) % 10.32/10.53 (define @t670 () (or @t669 @t667 @t665)) % 10.32/10.53 (define @t671 () (not @t670)) % 10.32/10.53 (define @t672 () (not (= @t663 @t407))) % 10.32/10.53 (define @t673 () (or @t669 @t667 @t672)) % 10.32/10.53 (define @t674 () (not @t673)) % 10.32/10.53 (define @t675 () (= tptp.nil @t651)) % 10.32/10.53 (define @t676 () (and @t675 (= @t661 tptp.nil))) % 10.32/10.53 (define @t677 () (= tptp.nil (tptp.app @t661 @t651))) % 10.32/10.53 (define @t678 () (= @t677 @t676)) % 10.32/10.53 (define @t679 () (or @t669 @t658 @t678)) % 10.32/10.53 (define @t680 () (and @t675 (= tptp.nil @t661))) % 10.32/10.53 (define @t681 () (= @t677 @t680)) % 10.32/10.53 (define @t682 () (or @t669 @t658 @t681)) % 10.32/10.53 (define @t683 () (= @t661 (tptp.tl @t663))) % 10.32/10.53 (define @t684 () (or @t669 @t667 @t683)) % 10.32/10.53 (define @t685 () (= @t406 tptp.nil)) % 10.32/10.53 (define @t686 () (and @t576 @t685)) % 10.32/10.53 (define @t687 () (= @t675 @t686)) % 10.32/10.53 (define @t688 () (or @t502 @t428 @t687)) % 10.32/10.53 (define @t689 () (and @t576 @t497)) % 10.32/10.53 (define @t690 () (= @t675 @t689)) % 10.32/10.53 (define @t691 () (or @t502 @t428 @t690)) % 10.32/10.53 (define @t692 () (not @t689)) % 10.32/10.53 (define @t693 () (not @t675)) % 10.32/10.53 (define @t694 () (not @t680)) % 10.32/10.53 (define @t695 () (@var "BOUND_VARIABLE_10557" $$unsorted)) % 10.32/10.53 (define @t696 () (= (tptp.cons @t695 @t2) (tptp.app (tptp.cons @t695 tptp.nil) @t2))) % 10.32/10.53 (define @t697 () (not (tptp.ssItem @t695))) % 10.32/10.53 (define @t698 () (or @t697 @t696)) % 10.32/10.53 (define @t699 () (or @t230 @t698)) % 10.32/10.53 (define @t700 () (forall (@list @t2 @t695) @t699)) % 10.32/10.53 (define @t701 () (@list @t695)) % 10.32/10.53 (define @t702 () (forall @t701 @t699)) % 10.32/10.53 (define @t703 () (forall @t701 @t698)) % 10.32/10.53 (define @t704 () (or @t230 @t703)) % 10.32/10.53 (define @t705 () (forall @t7 (or @t521 @t121))) % 10.32/10.53 (define @t706 () (tptp.app @t406 tptp.nil)) % 10.32/10.53 (define @t707 () (= @t406 @t706)) % 10.32/10.53 (define @t708 () (or @t524 @t431 @t707)) % 10.32/10.53 (define @t709 () (@var "BOUND_VARIABLE_10598" $$unsorted)) % 10.32/10.53 (define @t710 () (@var "BOUND_VARIABLE_10596" $$unsorted)) % 10.32/10.53 (define @t711 () (= (tptp.app (tptp.app @t2 @t710) @t709) (tptp.app @t2 (tptp.app @t710 @t709)))) % 10.32/10.53 (define @t712 () (not (tptp.ssList @t709))) % 10.32/10.53 (define @t713 () (not (tptp.ssList @t710))) % 10.32/10.53 (define @t714 () (or @t713 @t712 @t711)) % 10.32/10.53 (define @t715 () (or @t230 @t714)) % 10.32/10.53 (define @t716 () (forall (@list @t2 @t710 @t709) @t715)) % 10.32/10.53 (define @t717 () (@list @t710 @t709)) % 10.32/10.53 (define @t718 () (forall @t717 @t715)) % 10.32/10.53 (define @t719 () (forall @t717 @t714)) % 10.32/10.53 (define @t720 () (@var "BOUND_VARIABLE_10578" $$unsorted)) % 10.32/10.53 (define @t721 () (or @t230 @t719)) % 10.32/10.53 (define @t722 () (= (tptp.app @t77 @t720) (tptp.app @t2 (tptp.app @t1 @t720)))) % 10.32/10.53 (define @t723 () (not (tptp.ssList @t720))) % 10.32/10.53 (define @t724 () (or @t258 @t723 @t722)) % 10.32/10.53 (define @t725 () (@list @t1 @t720)) % 10.32/10.53 (define @t726 () (forall @t725 @t724)) % 10.32/10.53 (define @t727 () (or @t723 @t722)) % 10.32/10.53 (define @t728 () (or @t258 @t727)) % 10.32/10.53 (define @t729 () (forall @t725 @t728)) % 10.32/10.53 (define @t730 () (@list @t720)) % 10.32/10.53 (define @t731 () (forall @t730 @t728)) % 10.32/10.53 (define @t732 () (forall @t730 @t727)) % 10.32/10.53 (define @t733 () (or @t258 @t732)) % 10.32/10.53 (define @t734 () (forall @t16 (or @t308 @t125))) % 10.32/10.53 (define @t735 () (= @t409 @t656)) % 10.32/10.53 (define @t736 () (or @t430 @t502 @t428 @t735)) % 10.32/10.53 (define @t737 () (not (= @t406 @t616))) % 10.32/10.53 (define @t738 () (or @t258 @t618 @t737)) % 10.32/10.53 (define @t739 () (forall @t620 @t738)) % 10.32/10.53 (define @t740 () (not @t739)) % 10.32/10.53 (define @t741 () (or @t502 @t685 @t740)) % 10.32/10.53 (define @t742 () (forall @t620 (or @t258 @t618 (not (= @t616 @t406))))) % 10.32/10.53 (define @t743 () (not @t742)) % 10.32/10.53 (define @t744 () (or @t502 @t497 @t743)) % 10.32/10.53 (define @t745 () (@quantifiers_skolemize @t742 0)) % 10.32/10.53 (define @t746 () (@quantifiers_skolemize @t742 1)) % 10.32/10.53 (define @t747 () (tptp.cons @t746 @t745)) % 10.32/10.53 (define @t748 () (= @t406 @t747)) % 10.32/10.53 (define @t749 () (not @t748)) % 10.32/10.53 (define @t750 () (not (tptp.ssItem @t746))) % 10.32/10.53 (define @t751 () (not (tptp.ssList @t745))) % 10.32/10.53 (define @t752 () (or @t751 @t750 @t749)) % 10.32/10.53 (define @t753 () (not @t752)) % 10.32/10.53 (define @t754 () (not (= @t747 @t406))) % 10.32/10.53 (define @t755 () (or @t751 @t750 @t754)) % 10.32/10.53 (define @t756 () (not @t755)) % 10.32/10.53 (define @t757 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 10.32/10.53 (define @t758 () (= (tptp.rearsegP @t2 @t757) (not (forall @t16 (or @t308 (not (= @t2 (tptp.app @t12 @t757)))))))) % 10.32/10.53 (define @t759 () (not (tptp.ssList @t757))) % 10.32/10.53 (define @t760 () (or @t759 @t758)) % 10.32/10.53 (define @t761 () (or @t230 @t760)) % 10.32/10.53 (define @t762 () (forall (@list @t2 @t757) @t761)) % 10.32/10.53 (define @t763 () (@list @t757)) % 10.32/10.53 (define @t764 () (forall @t763 @t761)) % 10.32/10.53 (define @t765 () (forall @t763 @t760)) % 10.32/10.53 (define @t766 () (or @t230 @t765)) % 10.32/10.53 (define @t767 () (= @t2 @t22)) % 10.32/10.53 (define @t768 () (= @t25 (not (forall @t16 (or @t308 (not @t767)))))) % 10.32/10.53 (define @t769 () (forall @t7 (or @t258 @t768))) % 10.32/10.53 (define @t770 () (and @t15 @t767)) % 10.32/10.53 (define @t771 () (forall @t16 (not @t770))) % 10.32/10.53 (define @t772 () (not @t771)) % 10.32/10.53 (define @t773 () (forall @t16 (or @t308 (not (= @t405 (tptp.app @t12 tptp.nil)))))) % 10.32/10.53 (define @t774 () (not @t773)) % 10.32/10.53 (define @t775 () (tptp.rearsegP @t405 tptp.nil)) % 10.32/10.53 (define @t776 () (= @t775 @t774)) % 10.32/10.53 (define @t777 () (or @t428 @t524 @t776)) % 10.32/10.53 (define @t778 () (@list @t405)) % 10.32/10.53 (define @t779 () (or @t428 @t775)) % 10.32/10.53 (define @t780 () (@quantifiers_skolemize @t773 0)) % 10.32/10.53 (define @t781 () (tptp.app @t780 tptp.nil)) % 10.32/10.53 (define @t782 () (= @t405 @t781)) % 10.32/10.53 (define @t783 () (not @t782)) % 10.32/10.53 (define @t784 () (tptp.ssList @t780)) % 10.32/10.53 (define @t785 () (not @t784)) % 10.32/10.53 (define @t786 () (or @t785 @t783)) % 10.32/10.53 (define @t787 () (@list @t786)) % 10.32/10.53 (define @t788 () (= @t2 @t138)) % 10.32/10.53 (define @t789 () (@list @t780)) % 10.32/10.53 (define @t790 () (= @t780 @t781)) % 10.32/10.53 (define @t791 () (or @t785 @t790)) % 10.32/10.53 (define @t792 () (= @t112 @t225)) % 10.32/10.53 (define @t793 () (tptp.rearsegP tptp.nil @t780)) % 10.32/10.53 (define @t794 () (= @t780 tptp.nil)) % 10.32/10.53 (define @t795 () (or @t785 (= @t793 @t794))) % 10.32/10.53 (define @t796 () (forall @t9 (or @t230 @t792))) % 10.32/10.53 (define @t797 () (= tptp.nil @t780)) % 10.32/10.53 (define @t798 () (= @t797 @t793)) % 10.32/10.53 (define @t799 () (or @t785 @t798)) % 10.32/10.53 (define @t800 () (@var "BOUND_VARIABLE_10071" $$unsorted)) % 10.32/10.53 (define @t801 () (@var "BOUND_VARIABLE_10073" $$unsorted)) % 10.32/10.53 (define @t802 () (tptp.rearsegP (tptp.app @t801 @t2) @t800)) % 10.32/10.53 (define @t803 () (not (tptp.ssList @t801))) % 10.32/10.53 (define @t804 () (not (tptp.rearsegP @t2 @t800))) % 10.32/10.53 (define @t805 () (not (tptp.ssList @t800))) % 10.32/10.53 (define @t806 () (or @t805 @t804 @t803 @t802)) % 10.32/10.53 (define @t807 () (or @t230 @t806)) % 10.32/10.53 (define @t808 () (forall (@list @t2 @t800 @t801) @t807)) % 10.32/10.53 (define @t809 () (@list @t800 @t801)) % 10.32/10.53 (define @t810 () (forall @t809 @t807)) % 10.32/10.53 (define @t811 () (forall @t809 @t806)) % 10.32/10.53 (define @t812 () (@var "BOUND_VARIABLE_10055" $$unsorted)) % 10.32/10.53 (define @t813 () (or @t230 @t811)) % 10.32/10.53 (define @t814 () (tptp.rearsegP (tptp.app @t812 @t2) @t1)) % 10.32/10.53 (define @t815 () (not (tptp.ssList @t812))) % 10.32/10.53 (define @t816 () (not @t25)) % 10.32/10.53 (define @t817 () (or @t258 @t816 @t815 @t814)) % 10.32/10.53 (define @t818 () (@list @t1 @t812)) % 10.32/10.53 (define @t819 () (forall @t818 @t817)) % 10.32/10.53 (define @t820 () (or @t815 @t814)) % 10.32/10.53 (define @t821 () (or @t258 @t816 @t820)) % 10.32/10.53 (define @t822 () (forall @t818 @t821)) % 10.32/10.53 (define @t823 () (@list @t812)) % 10.32/10.53 (define @t824 () (forall @t823 @t821)) % 10.32/10.53 (define @t825 () (forall @t823 @t820)) % 10.32/10.53 (define @t826 () (or @t258 @t816 @t825)) % 10.32/10.53 (define @t827 () (or @t308 @t103)) % 10.32/10.53 (define @t828 () (forall @t16 @t827)) % 10.32/10.53 (define @t829 () (or @t258 @t816 @t828)) % 10.32/10.53 (define @t830 () (or @t816 @t828)) % 10.32/10.53 (define @t831 () (or @t816 @t827)) % 10.32/10.53 (define @t832 () (or @t308 @t816 @t103)) % 10.32/10.53 (define @t833 () (tptp.rearsegP @t405 @t405)) % 10.32/10.53 (define @t834 () (or @t428 @t833)) % 10.32/10.53 (define @t835 () (tptp.rearsegP @t558 @t405)) % 10.32/10.53 (define @t836 () (not @t833)) % 10.32/10.53 (define @t837 () (or @t428 @t428 @t836 @t561 @t835)) % 10.32/10.53 (define @t838 () (and @t416 @t587 @t707 @t735 @t664 @t683 @t748 @t782 @t797 @t790 @t657)) % 10.32/10.53 (define @t839 () (not @t506)) % 10.32/10.53 (define @t840 () (and @t436 @t506 @t424)) % 10.32/10.53 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 10.32/10.53 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 10.32/10.53 (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))))))))))) % 10.32/10.53 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 10.32/10.53 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 10.32/10.53 (assume @p6 @t30) % 10.32/10.53 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 10.32/10.53 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 10.32/10.53 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 10.32/10.53 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 10.32/10.53 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 10.32/10.53 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 10.32/10.53 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 10.32/10.53 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 10.32/10.53 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 10.32/10.53 (assume @p16 @t48) % 10.32/10.53 (assume @p17 @t49) % 10.32/10.53 (assume @p18 @t54) % 10.32/10.53 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t55))))))))))) % 10.32/10.53 (assume @p20 @t64) % 10.32/10.53 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t44))))))) % 10.32/10.53 (assume @p22 (forall @t9 (=> @t17 (=> @t66 (tptp.ssItem @t65))))) % 10.32/10.53 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t44) @t1)))))) % 10.32/10.53 (assume @p24 @t71) % 10.32/10.53 (assume @p25 @t76) % 10.32/10.53 (assume @p26 @t81) % 10.32/10.53 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t82) (tptp.app @t56 @t2))))))))) % 10.32/10.53 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 10.32/10.53 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t84 @t83) @t3)))))) % 10.32/10.53 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t84 @t33) (tptp.leq @t2 @t12))))))))) % 10.32/10.53 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 10.32/10.53 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t85 @t83)))))) % 10.32/10.53 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (not @t86))))))) % 10.32/10.53 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t87 @t42) @t88)))))))) % 10.32/10.53 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t89 @t86)))))) % 10.32/10.53 (assume @p36 @t97) % 10.32/10.53 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t90))))))))) % 10.32/10.53 (assume @p38 @t99) % 10.32/10.53 (assume @p39 (not (tptp.singletonP tptp.nil))) % 10.32/10.53 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 10.32/10.53 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 10.32/10.53 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 10.32/10.53 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 10.32/10.53 (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)))))))))))) % 10.32/10.53 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 10.32/10.53 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t61)))) % 10.32/10.53 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 10.32/10.53 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 (tptp.rearsegP @t1 @t2)) @t3)))))) % 10.32/10.53 (assume @p49 @t101) % 10.32/10.53 (assume @p50 @t109) % 10.32/10.53 (assume @p51 @t111) % 10.32/10.53 (assume @p52 @t114) % 10.32/10.53 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 10.32/10.53 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 10.32/10.53 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 10.32/10.53 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t102 @t10) @t1))))))))))) % 10.32/10.53 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 10.32/10.53 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t61)))) % 10.32/10.53 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t115)))) % 10.32/10.53 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 10.32/10.53 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t115)))) % 10.32/10.53 (assume @p62 (tptp.totalorderP tptp.nil)) % 10.32/10.53 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t115)))) % 10.32/10.53 (assume @p64 (tptp.strictorderP tptp.nil)) % 10.32/10.53 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t115)))) % 10.32/10.53 (assume @p66 (tptp.totalorderedP tptp.nil)) % 10.32/10.53 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t119) (or @t117 (and @t118 (tptp.totalorderedP @t1) (tptp.leq @t2 @t116))))))))) % 10.32/10.53 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t115)))) % 10.32/10.53 (assume @p69 (tptp.strictorderedP tptp.nil)) % 10.32/10.53 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t119) (or @t117 (and @t118 (tptp.strictorderedP @t1) (tptp.lt @t2 @t116))))))))) % 10.32/10.53 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t115)))) % 10.32/10.53 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 10.32/10.53 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t115)))) % 10.32/10.53 (assume @p74 (tptp.equalelemsP tptp.nil)) % 10.32/10.53 (assume @p75 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 10.32/10.53 (assume @p76 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t21 (= @t67 @t1))))))) % 10.32/10.53 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t118 @t66 (= @t116 @t65) (= (tptp.tl @t1) @t67)) @t55)))))) % 10.32/10.53 (assume @p78 (forall @t9 (=> @t17 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 10.32/10.53 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t77) @t120)))))))) % 10.32/10.53 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t82) @t120)))))))) % 10.32/10.53 (assume @p81 @t124) % 10.32/10.53 (assume @p82 @t130) % 10.32/10.53 (assume @p83 @t137) % 10.32/10.53 (assume @p84 @t140) % 10.32/10.53 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t66 (= (tptp.hd @t77) @t65))))))) % 10.32/10.53 (assume @p86 @t146) % 10.32/10.53 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t85 (tptp.geq @t1 @t2)) @t3)))))) % 10.32/10.53 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t85 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 10.32/10.53 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 10.32/10.53 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 10.32/10.53 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t84 @t42) @t88)))))))) % 10.32/10.53 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (or @t3 @t87))))))) % 10.32/10.53 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t87 (and @t4 @t84))))))) % 10.32/10.53 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t89 (not (tptp.gt @t1 @t2)))))))) % 10.32/10.53 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t89 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 10.32/10.53 (assume @p96 @t195) % 10.32/10.53 (assume @p97 true) % 10.32/10.53 (step @p98 :rule bool-impl-elim :args (@t8 @t98)) % 10.32/10.53 (step @p99 :rule cong :premises (@p98) :args (@t99)) % 10.32/10.53 (step @p100 :rule eq_resolve :premises (@p38 @p99)) % 10.32/10.53 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t219))) % 10.32/10.53 (step @p102 :rule aci_norm :args ((= (or @t215 @t214 @t213 @t212 false @t211 @t210 @t209) @t216))) % 10.32/10.53 (step @p103 :rule eq-symm :args (@t199 tptp.nil)) % 10.32/10.53 (step @p104 :rule cong :premises (@p103) :args (@t220)) % 10.32/10.53 (step @p105 :rule refl :args (@t201)) % 10.32/10.53 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t221)) % 10.32/10.53 (step @p107 :rule refl :args (@t208)) % 10.32/10.53 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t222)) % 10.32/10.53 (step @p109 :rule refl :args (@t210)) % 10.32/10.53 (step @p110 :rule refl :args (@t211)) % 10.32/10.53 (step @p111 :rule evaluate :args ((not true))) % 10.32/10.53 (step @p112 :rule eq-refl :args (@t199)) % 10.32/10.53 (step @p113 :rule cong :premises (@p112) :args (@t223)) % 10.32/10.53 (step @p114 :rule trans :premises (@p113 @p111)) % 10.32/10.53 (step @p115 :rule refl :args (@t212)) % 10.32/10.53 (step @p116 :rule refl :args (@t213)) % 10.32/10.53 (step @p117 :rule refl :args (@t214)) % 10.32/10.53 (step @p118 :rule refl :args (@t215)) % 10.32/10.53 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p110 @p109 @p108) :args (@t224)) % 10.32/10.53 (step @p120 :rule trans :premises (@p119 @p102)) % 10.32/10.53 (step @p121 :rule cong :premises (@p120) :args ((forall @t217 @t224))) % 10.32/10.53 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t9 @t231) @t224))) % 10.32/10.53 (step @p123 :rule aci_norm :args ((= @t232 @t231))) % 10.32/10.53 (step @p124 :rule cong :premises (@p123) :args (@t233)) % 10.32/10.53 (step @p125 :rule trans :premises (@p124 @p122)) % 10.32/10.53 (step @p126 :rule cong :premises (@p125) :args (@t234)) % 10.32/10.53 (step @p127 :rule quant-merge-prenex :args ((= @t234 @t235))) % 10.32/10.53 (step @p128 :rule symm :premises (@p127)) % 10.32/10.53 (step @p129 :rule quant_var_reordering :args ((= (forall @t236 @t232) @t235))) % 10.32/10.53 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 10.32/10.53 (step @p131 :rule trans :premises (@p130 @p121)) % 10.32/10.53 (step @p132 :rule refl :args (@t226)) % 10.32/10.53 (step 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10.32/10.53 (step @p175 :rule nary_cong :premises (@p174 @p139 @p173) :args (@t283)) % 10.32/10.53 (step @p176 :rule quant-miniscope-or :args ((= (forall @t7 @t284) @t283))) % 10.32/10.53 (step @p177 :rule aci_norm :args ((= @t285 @t284))) % 10.32/10.53 (step @p178 :rule cong :premises (@p177) :args ((forall @t7 @t285))) % 10.32/10.53 (step @p179 :rule trans :premises (@p178 @p176)) % 10.32/10.53 (step @p180 :rule trans :premises (@p179 @p175)) % 10.32/10.53 (step @p181 :rule aci_norm :args ((= (or @t258 @t286) @t285))) % 10.32/10.53 (step @p182 :rule bool-impl-elim :args (@t21 @t286)) % 10.32/10.53 (step @p183 :rule trans :premises (@p182 @p181)) % 10.32/10.53 (step @p184 :rule cong :premises (@p183) :args ((forall @t7 (=> @t21 @t286)))) % 10.32/10.53 (step @p185 :rule trans :premises (@p184 @p180)) % 10.32/10.53 (step @p186 :rule aci_norm :args ((= (or @t268 @t258 (or @t230 @t280)) @t286))) % 10.32/10.53 (step @p187 :rule quant-unused-vars :args ((= @t289 @t254))) % 10.32/10.53 (step 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@p202 :rule cong :premises (@p201) :args ((forall @t288 @t303))) % 10.32/10.53 (step @p203 :rule trans :premises (@p202 @p194)) % 10.32/10.53 (step @p204 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t120) @t308 @t184 @t307)) @t303))) % 10.32/10.53 (step @p205 :rule refl :args (@t307)) % 10.32/10.53 (step @p206 :rule refl :args (@t184)) % 10.32/10.53 (step @p207 :rule refl :args (@t308)) % 10.32/10.53 (step @p208 :rule eq-symm :args (@t2 @t12)) % 10.32/10.53 (step @p209 :rule cong :premises (@p208) :args (@t184)) % 10.32/10.53 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206 @p205) :args (@t309)) % 10.32/10.53 (step @p211 :rule aci_norm :args ((= @t310 @t309))) % 10.32/10.53 (step @p212 :rule trans :premises (@p211 @p210)) % 10.32/10.53 (step @p213 :rule cong :premises (@p212) :args (@t311)) % 10.32/10.53 (step @p214 :rule trans :premises (@p213 @p204)) % 10.32/10.53 (step @p215 :rule cong :premises (@p214) :args (@t312)) % 10.32/10.53 (step @p216 :rule 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% 10.32/10.53 (step @p272 :rule aci_norm :args ((= @t352 @t351))) % 10.32/10.53 (step @p273 :rule trans :premises (@p272 @p271)) % 10.32/10.53 (step @p274 :rule cong :premises (@p273) :args (@t353)) % 10.32/10.53 (step @p275 :rule trans :premises (@p274 @p265)) % 10.32/10.53 (step @p276 :rule cong :premises (@p275) :args (@t354)) % 10.32/10.53 (step @p277 :rule quant-merge-prenex :args ((= @t354 @t355))) % 10.32/10.53 (step @p278 :rule symm :premises (@p277)) % 10.32/10.53 (step @p279 :rule quant_var_reordering :args ((= (forall @t356 @t352) @t355))) % 10.32/10.53 (step @p280 :rule trans :premises (@p279 @p278 @p276)) % 10.32/10.53 (step @p281 :rule trans :premises (@p280 @p264)) % 10.32/10.53 (step @p282 :rule refl :args (@t347)) % 10.32/10.53 (step @p283 :rule refl :args (@t333)) % 10.32/10.53 (step @p284 :rule refl :args (@t348)) % 10.32/10.53 (step @p285 :rule eq-symm :args (@t330 @t150)) % 10.32/10.53 (step @p286 :rule refl :args (@t203)) % 10.32/10.53 (step @p287 :rule nary_cong 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(forall @t9 @t810) @t808))) % 10.32/10.54 (step @p1180 :rule alpha_equiv :args (@t811 (@list @t800 @t801) (@list @t1 @t812))) % 10.32/10.54 (step @p1181 :rule nary_cong :premises (@p148 @p1180) :args (@t813)) % 10.32/10.54 (step @p1182 :rule quant-miniscope-or :args ((= @t810 @t813))) % 10.32/10.54 (step @p1183 :rule trans :premises (@p1182 @p1181)) % 10.32/10.54 (step @p1184 :rule symm :premises (@p1183)) % 10.32/10.54 (step @p1185 :rule cong :premises (@p1184) :args ((forall @t9 (or @t230 @t819)))) % 10.32/10.54 (step @p1186 :rule trans :premises (@p1185 @p1179)) % 10.32/10.54 (step @p1187 :rule trans :premises (@p1186 @p1178)) % 10.32/10.54 (step @p1188 :rule bool-impl-elim :args (@t17 @t819)) % 10.32/10.54 (step @p1189 :rule cong :premises (@p1188) :args ((forall @t9 (=> @t17 @t819)))) % 10.32/10.54 (step @p1190 :rule trans :premises (@p1189 @p1187)) % 10.32/10.54 (step @p1191 :rule aci_norm :args ((= @t821 @t817))) % 10.32/10.54 (step @p1192 :rule cong :premises (@p1191) :args (@t822)) % 10.32/10.54 (step @p1193 :rule quant-merge-prenex :args ((= (forall @t7 @t824) @t822))) % 10.32/10.54 (step @p1194 :rule alpha_equiv :args (@t825 (@list @t812) @t464)) % 10.32/10.54 (step @p1195 :rule refl :args (@t816)) % 10.32/10.54 (step @p1196 :rule nary_cong :premises (@p167 @p1195 @p1194) :args (@t826)) % 10.32/10.54 (step @p1197 :rule quant-miniscope-or :args ((= @t824 @t826))) % 10.32/10.54 (step @p1198 :rule trans :premises (@p1197 @p1196)) % 10.32/10.54 (step @p1199 :rule symm :premises (@p1198)) % 10.32/10.54 (step @p1200 :rule cong :premises (@p1199) :args ((forall @t7 @t829))) % 10.32/10.54 (step @p1201 :rule trans :premises (@p1200 @p1193)) % 10.32/10.54 (step @p1202 :rule trans :premises (@p1201 @p1192)) % 10.32/10.54 (step @p1203 :rule aci_norm :args ((= (or @t258 @t830) @t829))) % 10.32/10.54 (step @p1204 :rule bool-impl-elim :args (@t21 @t830)) % 10.32/10.54 (step @p1205 :rule trans :premises (@p1204 @p1203)) % 10.32/10.54 (step @p1206 :rule cong :premises (@p1205) :args ((forall @t7 (=> @t21 @t830)))) % 10.32/10.54 (step @p1207 :rule trans :premises (@p1206 @p1202)) % 10.32/10.54 (step @p1208 :rule quant-miniscope-or :args ((= (forall @t16 @t831) @t830))) % 10.32/10.54 (step @p1209 :rule aci_norm :args ((= @t832 @t831))) % 10.32/10.54 (step @p1210 :rule cong :premises (@p1209) :args ((forall @t16 @t832))) % 10.32/10.54 (step @p1211 :rule trans :premises (@p1210 @p1208)) % 10.32/10.54 (step @p1212 :rule aci_norm :args ((= (or @t308 (or @t816 @t103)) @t832))) % 10.32/10.54 (step @p1213 :rule bool-impl-elim :args (@t25 @t103)) % 10.32/10.54 (step @p1214 :rule nary_cong :premises (@p207 @p1213) :args ((or @t308 @t104))) % 10.32/10.54 (step @p1215 :rule trans :premises (@p1214 @p1212)) % 10.32/10.54 (step @p1216 :rule bool-impl-elim :args (@t15 @t104)) % 10.32/10.54 (step @p1217 :rule trans :premises (@p1216 @p1215)) % 10.32/10.54 (step @p1218 :rule cong :premises (@p1217) :args (@t105)) % 10.32/10.54 (step @p1219 :rule trans :premises (@p1218 @p1211)) % 10.32/10.54 (step @p1220 :rule cong :premises (@p404 @p1219) :args (@t106)) % 10.32/10.54 (step @p1221 :rule cong :premises (@p1220) :args (@t107)) % 10.32/10.54 (step @p1222 :rule trans :premises (@p1221 @p1207)) % 10.32/10.54 (step @p1223 :rule cong :premises (@p408 @p1222) :args (@t108)) % 10.32/10.54 (step @p1224 :rule cong :premises (@p1223) :args (@t109)) % 10.32/10.54 (step @p1225 :rule trans :premises (@p1224 @p1190)) % 10.32/10.54 (step @p1226 :rule eq_resolve :premises (@p50 @p1225)) % 10.32/10.54 (step @p1227 :rule instantiate :premises (@p1226) :args ((@list @t405 @t405 @t467))) % 10.32/10.54 (step @p1228 :rule bool-impl-elim :args (@t17 @t100)) % 10.32/10.54 (step @p1229 :rule cong :premises (@p1228) :args (@t101)) % 10.32/10.54 (step @p1230 :rule eq_resolve :premises (@p49 @p1229)) % 10.32/10.54 (step @p1231 :rule instantiate :premises (@p1230) :args (@t778)) % 10.32/10.54 (step @p1232 :rule cnf_or_pos :args (@t834)) % 10.32/10.54 (step @p1233 :rule reordering :premises (@p1232) :args ((or @t428 @t833 (not @t834)))) % 10.32/10.54 (step @p1234 :rule chain_m_resolution :premises (@p1233 @p652 @p1231) :args (@t833 @t438 (@list @t427 @t834))) % 10.32/10.54 (step @p1235 :rule cnf_or_pos :args (@t837)) % 10.32/10.54 (step @p1236 :rule factoring :premises (@p1235)) % 10.32/10.54 (step @p1237 :rule reordering :premises (@p1236) :args ((or @t428 @t836 @t561 @t835 (not @t837)))) % 10.32/10.54 (step @p1238 :rule chain_m_resolution :premises (@p1237 @p652 @p1234 @p646 @p1227) :args (@t835 @t563 (@list @t427 @t833 @t471 @t837))) % 10.32/10.54 (step @p1239 :rule true_intro :premises (@p1238)) % 10.32/10.54 (step @p1240 :rule refl :args (@t405)) % 10.32/10.54 (step @p1241 :rule symm :premises (@p733)) % 10.32/10.54 (step @p1242 :rule cong :premises (@p1241) :args (@t586)) % 10.32/10.54 (step @p1243 :rule trans :premises (@p726 @p1242 @p789)) % 10.32/10.54 (step @p1244 :rule cong :premises (@p1243 @p1240) :args ((tptp.rearsegP tptp.nil @t405))) % 10.32/10.54 (step @p1245 :rule symm :premises (@p1128)) % 10.32/10.54 (step @p1246 :rule trans :premises (@p1145 @p1245)) % 10.32/10.54 (step @p1247 :rule refl :args (tptp.nil)) % 10.32/10.54 (step @p1248 :rule cong :premises (@p1247 @p1246) :args (@t793)) % 10.32/10.54 (step @p1249 :rule trans :premises (@p1248 @p1244 @p1239)) % 10.32/10.54 (step @p1250 :rule true_elim :premises (@p1249)) % 10.32/10.54 (step @p1251 :rule cnf_equiv_pos2 :args (@t798)) % 10.32/10.54 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t797 (not @t793) (not @t798)))) % 10.32/10.54 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1250 @p1176) :args (@t797 @t438 (@list @t793 @t798))) % 10.32/10.54 (assume-push @p1378 @t416) % 10.32/10.54 (assume-push @p1379 @t587) % 10.32/10.54 (assume-push @p1380 @t707) % 10.32/10.54 (assume-push @p1381 @t735) % 10.32/10.54 (assume-push @p1382 @t664) % 10.32/10.54 (assume-push @p1383 @t683) % 10.32/10.54 (assume-push @p1384 @t748) % 10.32/10.54 (assume-push @p1385 @t782) % 10.32/10.54 (assume-push @p1386 @t797) % 10.32/10.54 (assume-push @p1387 @t790) % 10.32/10.54 (assume-push @p1388 @t657) % 10.32/10.54 (assume-push @p1389 @t748) % 10.32/10.54 (assume-push @p1390 @t782) % 10.32/10.54 (assume-push @p1391 @t790) % 10.32/10.54 (assume-push @p1392 @t797) % 10.32/10.54 (assume-push @p1393 @t707) % 10.32/10.54 (assume-push @p1394 @t683) % 10.32/10.54 (assume-push @p1395 @t664) % 10.32/10.54 (assume-push @p1396 @t657) % 10.32/10.54 (assume-push @p1397 @t735) % 10.32/10.54 (assume-push @p1398 @t416) % 10.32/10.54 (assume-push @p1399 @t587) % 10.32/10.54 (step @p1276 :rule trans :premises (@p1253 @p1145 @p1245)) % 10.32/10.54 (step @p1277 :rule symm :premises (@p1072)) % 10.32/10.54 (step @p1278 :rule cong :premises (@p1277 @p1276) :args ((tptp.app @t747 tptp.nil))) % 10.32/10.54 (step @p1279 :rule cong :premises (@p1072 @p1247) :args (@t706)) % 10.32/10.54 (step @p1280 :rule trans :premises (@p988 @p1279 @p1278)) % 10.32/10.54 (step @p1281 :rule refl :args (@t661)) % 10.32/10.54 (step @p1282 :rule cong :premises (@p1281 @p1280) :args ((tptp.app @t661 @t406))) % 10.32/10.54 (step @p1283 :rule symm :premises (@p1280)) % 10.32/10.54 (step @p1284 :rule symm :premises (@p1383)) % 10.32/10.54 (step @p1285 :rule cong :premises (@p1382) :args (@t654)) % 10.32/10.54 (step @p1286 :rule trans :premises (@p1285 @p1284)) % 10.32/10.54 (step @p1287 :rule cong :premises (@p1286 @p1283) :args (@t655)) % 10.32/10.54 (step @p1288 :rule trans :premises (@p1241 @p1029)) % 10.32/10.54 (step @p1289 :rule cong :premises (@p1288) :args (@t586)) % 10.32/10.54 (step @p1290 :rule trans :premises (@p726 @p1289 @p1388 @p1287 @p1282)) % 10.32/10.54 (step-pop @p1400 :rule scope :premises (@p1290)) % 10.32/10.54 (step-pop @p1401 :rule scope :premises (@p1400)) % 10.32/10.54 (step-pop @p1402 :rule scope :premises (@p1401)) % 10.32/10.54 (step-pop @p1403 :rule scope :premises (@p1402)) % 10.32/10.54 (step-pop @p1404 :rule scope :premises (@p1403)) % 10.32/10.54 (step-pop @p1405 :rule scope :premises (@p1404)) % 10.32/10.54 (step-pop @p1406 :rule scope :premises (@p1405)) % 10.32/10.54 (step-pop @p1407 :rule scope :premises (@p1406)) % 10.32/10.54 (step-pop @p1408 :rule scope :premises (@p1407)) % 10.32/10.54 (step-pop @p1409 :rule scope :premises (@p1408)) % 10.32/10.54 (step-pop @p1410 :rule scope :premises (@p1409)) % 10.32/10.54 (step @p1291 :rule process_scope :premises (@p1410) :args (@t677)) % 10.32/10.54 (step @p1303 :rule and_intro :premises (@p1072 @p1128 @p1145 @p1253 @p988 @p1383 @p1382 @p1388 @p1029 @p733 @p726)) % 10.32/10.54 (step @p1304 :rule modus_ponens :premises (@p1303 @p1291)) % 10.32/10.54 (step-pop @p1411 :rule scope :premises (@p1304)) % 10.32/10.54 (step-pop @p1412 :rule scope :premises (@p1411)) % 10.32/10.54 (step-pop @p1413 :rule scope :premises (@p1412)) % 10.32/10.54 (step-pop @p1414 :rule scope :premises (@p1413)) % 10.32/10.54 (step-pop @p1415 :rule scope :premises (@p1414)) % 10.32/10.54 (step-pop @p1416 :rule scope :premises (@p1415)) % 10.32/10.54 (step-pop @p1417 :rule scope :premises (@p1416)) % 10.32/10.54 (step-pop @p1418 :rule scope :premises (@p1417)) % 10.32/10.54 (step-pop @p1419 :rule scope :premises (@p1418)) % 10.32/10.54 (step-pop @p1420 :rule scope :premises (@p1419)) % 10.32/10.54 (step-pop @p1421 :rule scope :premises (@p1420)) % 10.32/10.54 (step @p1305 :rule process_scope :premises (@p1421) :args (@t677)) % 10.32/10.54 (step @p1317 :rule implies_elim :premises (@p1305)) % 10.32/10.54 (step @p1318 :rule cnf_and_neg :args (@t838)) % 10.32/10.54 (step @p1319 :rule resolution :premises (@p1318 @p1317) :args (true @t838)) % 10.32/10.54 (step @p1320 :rule reordering :premises (@p1319) :args ((or @t417 (not @t587) (not @t707) (not @t735) @t665 (not @t683) @t749 @t783 @t677 (not @t797) (not @t790) (not @t657)))) % 10.32/10.54 (step @p1321 :rule chain_m_resolution :premises (@p1320 @p1253 @p1145 @p1128 @p1072 @p726 @p733 @p1029 @p988 @p964 @p962 @p938 @p936 @p935 @p933 @p872 @p919 @p914 @p909 @p903 @p885 @p883 @p872 @p580 @p868 @p866 @p580) :args (@t506 (@list false false false false false false false false true true false false false false false false false false true false false false false true false false) (@list @t797 @t790 @t782 @t748 @t587 @t416 @t735 @t707 @t677 @t680 @t683 @t684 @t681 @t682 @t652 @t664 @t666 @t668 @t670 @t657 @t660 @t652 @t429 @t646 @t648 @t429))) % 10.32/10.54 (step @p1322 :rule bool-double-not-elim :args (@t435)) % 10.32/10.58 (step @p1323 :rule refl :args (@t839)) % 10.32/10.58 (step @p1324 :rule refl :args (@t425)) % 10.32/10.58 (step @p1325 :rule nary_cong :premises (@p1324 @p1323 @p1322) :args ((or @t425 @t839 (not @t436)))) % 10.32/10.58 (assume-push @p1422 @t436) % 10.32/10.58 (assume-push @p1423 @t506) % 10.32/10.58 (assume-push @p1424 @t424) % 10.32/10.58 (step @p1329 :rule evaluate :args ((= true false))) % 10.32/10.58 (step @p1330 :rule symm :premises (@p1423)) % 10.32/10.58 (step @p1331 :rule cong :premises (@p1330 @p657) :args (@t424)) % 10.32/10.58 (step @p1332 :rule true_intro :premises (@p808)) % 10.32/10.58 (step @p1333 :rule symm :premises (@p1332)) % 10.32/10.58 (step @p1334 :rule trans :premises (@p1333 @p1331 @p656)) % 10.32/10.58 (step @p1335 false :rule eq_resolve :premises (@p1334 @p1329)) % 10.32/10.58 (step-pop @p1425 :rule scope :premises (@p1335)) % 10.32/10.58 (step-pop @p1426 :rule scope :premises (@p1425)) % 10.32/10.58 (step-pop @p1427 :rule scope :premises (@p1426)) % 10.32/10.58 (step @p1336 :rule process_scope :premises (@p1427) :args (false)) % 10.32/10.58 (assume-push @p1428 @t424) % 10.32/10.58 (assume-push @p1429 @t506) % 10.32/10.58 (assume-push @p1430 @t436) % 10.32/10.58 (step @p1343 :rule and_intro :premises (@p424 @p1429 @p808)) % 10.32/10.58 (step-pop @p1431 :rule scope :premises (@p1343)) % 10.32/10.58 (step-pop @p1432 :rule scope :premises (@p1431)) % 10.32/10.58 (step-pop @p1433 :rule scope :premises (@p1432)) % 10.32/10.58 (step @p1344 :rule process_scope :premises (@p1433) :args (@t840)) % 10.32/10.58 (step @p1348 :rule implies_elim :premises (@p1344)) % 10.32/10.58 (step @p1349 :rule resolution :premises (@p1348 @p1336) :args (true @t840)) % 10.32/10.58 (step @p1350 :rule not_and :premises (@p1349)) % 10.32/10.58 (step @p1351 :rule eq_resolve :premises (@p1350 @p1325)) % 10.32/10.58 (step @p1352 :rule reordering :premises (@p1351) :args ((or @t425 @t435 @t839))) % 10.32/10.58 (step @p1353 false :rule chain_m_resolution :premises (@p1352 @p1321 @p808 @p424) :args (false (@list false false true) (@list @t506 @t424 @t435))) % 10.32/10.58 ) % 10.32/10.58 % SZS output end Proof % 10.32/10.58 % cvc5 exiting %------------------------------------------------------------------------------