%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC295+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 : n011.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 08:58:46 AM UTC 2026 % Result : Theorem 10.70s 10.97s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC295+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:37:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 10.70/10.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 10.70/10.97 % SZS status Theorem % 10.70/10.97 % SZS output start Proof % 10.70/10.97 ( % 10.70/10.97 (declare-sort $$unsorted 0) % 10.70/10.97 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 10.70/10.97 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 10.70/10.97 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 10.70/10.97 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 10.70/10.97 (declare-const tptp.nil $$unsorted) % 10.70/10.97 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.ssList (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 10.70/10.97 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 10.70/10.97 (define @t1 () (@var "V" $$unsorted)) % 10.70/10.97 (define @t2 () (@var "U" $$unsorted)) % 10.70/10.97 (define @t3 () (= @t2 @t1)) % 10.70/10.97 (define @t4 () (not @t3)) % 10.70/10.97 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 10.70/10.97 (define @t6 () (tptp.ssItem @t1)) % 10.70/10.97 (define @t7 () (@list @t1)) % 10.70/10.97 (define @t8 () (tptp.ssItem @t2)) % 10.70/10.97 (define @t9 () (@list @t2)) % 10.70/10.97 (define @t10 () (@var "X" $$unsorted)) % 10.70/10.97 (define @t11 () (tptp.cons @t1 @t10)) % 10.70/10.97 (define @t12 () (@var "W" $$unsorted)) % 10.70/10.97 (define @t13 () (tptp.ssList @t10)) % 10.70/10.97 (define @t14 () (@list @t10)) % 10.70/10.97 (define @t15 () (tptp.ssList @t12)) % 10.70/10.97 (define @t16 () (@list @t12)) % 10.70/10.97 (define @t17 () (tptp.ssList @t2)) % 10.70/10.97 (define @t18 () (tptp.cons @t1 tptp.nil)) % 10.70/10.97 (define @t19 () (tptp.app @t1 @t12)) % 10.70/10.97 (define @t20 () (tptp.frontsegP @t2 @t1)) % 10.70/10.97 (define @t21 () (tptp.ssList @t1)) % 10.70/10.97 (define @t22 () (tptp.app @t12 @t1)) % 10.70/10.97 (define @t23 () (and @t15 (= @t22 @t2))) % 10.70/10.97 (define @t24 () (exists @t16 @t23)) % 10.70/10.97 (define @t25 () (tptp.rearsegP @t2 @t1)) % 10.70/10.97 (define @t26 () (= @t25 @t24)) % 10.70/10.97 (define @t27 () (=> @t21 @t26)) % 10.70/10.97 (define @t28 () (forall @t7 @t27)) % 10.70/10.97 (define @t29 () (=> @t17 @t28)) % 10.70/10.97 (define @t30 () (forall @t9 @t29)) % 10.70/10.97 (define @t31 () (tptp.segmentP @t2 @t1)) % 10.70/10.97 (define @t32 () (tptp.leq @t12 @t1)) % 10.70/10.97 (define @t33 () (tptp.leq @t1 @t12)) % 10.70/10.97 (define @t34 () (@var "Z" $$unsorted)) % 10.70/10.97 (define @t35 () (@var "Y" $$unsorted)) % 10.70/10.97 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 10.70/10.97 (define @t37 () (tptp.ssList @t34)) % 10.70/10.97 (define @t38 () (@list @t34)) % 10.70/10.97 (define @t39 () (tptp.ssList @t35)) % 10.70/10.97 (define @t40 () (@list @t35)) % 10.70/10.97 (define @t41 () (tptp.ssItem @t12)) % 10.70/10.97 (define @t42 () (tptp.lt @t1 @t12)) % 10.70/10.97 (define @t43 () (= @t1 @t12)) % 10.70/10.97 (define @t44 () (tptp.cons @t1 @t2)) % 10.70/10.97 (define @t45 () (tptp.ssList @t44)) % 10.70/10.97 (define @t46 () (forall @t7 (=> @t6 @t45))) % 10.70/10.97 (define @t47 () (=> @t17 @t46)) % 10.70/10.97 (define @t48 () (forall @t9 @t47)) % 10.70/10.97 (define @t49 () (tptp.ssList tptp.nil)) % 10.70/10.97 (define @t50 () (not (= @t44 @t2))) % 10.70/10.97 (define @t51 () (=> @t6 @t50)) % 10.70/10.97 (define @t52 () (forall @t7 @t51)) % 10.70/10.97 (define @t53 () (=> @t17 @t52)) % 10.70/10.97 (define @t54 () (forall @t9 @t53)) % 10.70/10.97 (define @t55 () (= @t1 @t2)) % 10.70/10.97 (define @t56 () (tptp.cons @t12 @t1)) % 10.70/10.97 (define @t57 () (and @t41 (= @t56 @t2))) % 10.70/10.97 (define @t58 () (exists @t16 @t57)) % 10.70/10.97 (define @t59 () (and @t21 @t58)) % 10.70/10.97 (define @t60 () (exists @t7 @t59)) % 10.70/10.97 (define @t61 () (= tptp.nil @t2)) % 10.70/10.97 (define @t62 () (or @t61 @t60)) % 10.70/10.97 (define @t63 () (=> @t17 @t62)) % 10.70/10.97 (define @t64 () (forall @t9 @t63)) % 10.70/10.97 (define @t65 () (tptp.hd @t2)) % 10.70/10.97 (define @t66 () (not @t61)) % 10.70/10.97 (define @t67 () (tptp.tl @t2)) % 10.70/10.97 (define @t68 () (tptp.ssList @t67)) % 10.70/10.97 (define @t69 () (=> @t66 @t68)) % 10.70/10.97 (define @t70 () (=> @t17 @t69)) % 10.70/10.97 (define @t71 () (forall @t9 @t70)) % 10.70/10.97 (define @t72 () (tptp.tl @t44)) % 10.70/10.97 (define @t73 () (=> @t6 (= @t72 @t2))) % 10.70/10.97 (define @t74 () (forall @t7 @t73)) % 10.70/10.97 (define @t75 () (=> @t17 @t74)) % 10.70/10.97 (define @t76 () (forall @t9 @t75)) % 10.70/10.97 (define @t77 () (tptp.app @t2 @t1)) % 10.70/10.97 (define @t78 () (tptp.ssList @t77)) % 10.70/10.97 (define @t79 () (forall @t7 (=> @t21 @t78))) % 10.70/10.97 (define @t80 () (=> @t17 @t79)) % 10.70/10.97 (define @t81 () (forall @t9 @t80)) % 10.70/10.97 (define @t82 () (tptp.app @t1 @t2)) % 10.70/10.97 (define @t83 () (tptp.leq @t1 @t2)) % 10.70/10.97 (define @t84 () (tptp.leq @t2 @t1)) % 10.70/10.97 (define @t85 () (tptp.geq @t2 @t1)) % 10.70/10.97 (define @t86 () (tptp.lt @t1 @t2)) % 10.70/10.97 (define @t87 () (tptp.lt @t2 @t1)) % 10.70/10.97 (define @t88 () (tptp.lt @t2 @t12)) % 10.70/10.97 (define @t89 () (tptp.gt @t2 @t1)) % 10.70/10.97 (define @t90 () (tptp.memberP @t12 @t2)) % 10.70/10.97 (define @t91 () (tptp.memberP @t1 @t2)) % 10.70/10.97 (define @t92 () (= (tptp.memberP @t19 @t2) (or @t91 @t90))) % 10.70/10.97 (define @t93 () (forall @t16 (=> @t15 @t92))) % 10.70/10.97 (define @t94 () (=> @t21 @t93)) % 10.70/10.97 (define @t95 () (forall @t7 @t94)) % 10.70/10.97 (define @t96 () (=> @t8 @t95)) % 10.70/10.97 (define @t97 () (forall @t9 @t96)) % 10.70/10.97 (define @t98 () (not (tptp.memberP tptp.nil @t2))) % 10.70/10.97 (define @t99 () (forall @t9 (=> @t8 @t98))) % 10.70/10.97 (define @t100 () (tptp.rearsegP @t2 @t2)) % 10.70/10.97 (define @t101 () (forall @t9 (=> @t17 @t100))) % 10.70/10.97 (define @t102 () (tptp.app @t12 @t2)) % 10.70/10.97 (define @t103 () (tptp.rearsegP @t102 @t1)) % 10.70/10.97 (define @t104 () (=> @t25 @t103)) % 10.70/10.97 (define @t105 () (forall @t16 (=> @t15 @t104))) % 10.70/10.97 (define @t106 () (=> @t21 @t105)) % 10.70/10.97 (define @t107 () (forall @t7 @t106)) % 10.70/10.97 (define @t108 () (=> @t17 @t107)) % 10.70/10.97 (define @t109 () (forall @t9 @t108)) % 10.70/10.97 (define @t110 () (tptp.rearsegP @t2 tptp.nil)) % 10.70/10.97 (define @t111 () (forall @t9 (=> @t17 @t110))) % 10.70/10.97 (define @t112 () (tptp.rearsegP tptp.nil @t2)) % 10.70/10.97 (define @t113 () (=> @t17 (= @t112 @t61))) % 10.70/10.97 (define @t114 () (forall @t9 @t113)) % 10.70/10.97 (define @t115 () (tptp.cons @t2 tptp.nil)) % 10.70/10.97 (define @t116 () (tptp.hd @t1)) % 10.70/10.97 (define @t117 () (= tptp.nil @t1)) % 10.70/10.97 (define @t118 () (not @t117)) % 10.70/10.97 (define @t119 () (tptp.cons @t2 @t1)) % 10.70/10.97 (define @t120 () (= @t12 @t2)) % 10.70/10.97 (define @t121 () (= @t44 (tptp.app @t18 @t2))) % 10.70/10.97 (define @t122 () (forall @t7 (=> @t6 @t121))) % 10.70/10.97 (define @t123 () (=> @t17 @t122)) % 10.70/10.97 (define @t124 () (forall @t9 @t123)) % 10.70/10.97 (define @t125 () (= (tptp.app @t77 @t12) (tptp.app @t2 @t19))) % 10.70/10.98 (define @t126 () (forall @t16 (=> @t15 @t125))) % 10.70/10.98 (define @t127 () (=> @t21 @t126)) % 10.70/10.98 (define @t128 () (forall @t7 @t127)) % 10.70/10.98 (define @t129 () (=> @t17 @t128)) % 10.70/10.98 (define @t130 () (forall @t9 @t129)) % 10.70/10.98 (define @t131 () (and @t117 @t61)) % 10.70/10.98 (define @t132 () (= tptp.nil @t77)) % 10.70/10.98 (define @t133 () (= @t132 @t131)) % 10.70/10.98 (define @t134 () (=> @t21 @t133)) % 10.70/10.98 (define @t135 () (forall @t7 @t134)) % 10.70/10.98 (define @t136 () (=> @t17 @t135)) % 10.70/10.98 (define @t137 () (forall @t9 @t136)) % 10.70/10.98 (define @t138 () (tptp.app @t2 tptp.nil)) % 10.70/10.98 (define @t139 () (=> @t17 (= @t138 @t2))) % 10.70/10.98 (define @t140 () (forall @t9 @t139)) % 10.70/10.98 (define @t141 () (= (tptp.tl @t77) (tptp.app @t67 @t1))) % 10.70/10.98 (define @t142 () (=> @t66 @t141)) % 10.70/10.98 (define @t143 () (=> @t21 @t142)) % 10.70/10.98 (define @t144 () (forall @t7 @t143)) % 10.70/10.98 (define @t145 () (=> @t17 @t144)) % 10.70/10.98 (define @t146 () (forall @t9 @t145)) % 10.70/10.98 (define @t147 () (not (= tptp.nil @t12))) % 10.70/10.98 (define @t148 () (not (= tptp.nil @t10))) % 10.70/10.98 (define @t149 () (or @t148 @t147)) % 10.70/10.98 (define @t150 () (@var "X4" $$unsorted)) % 10.70/10.98 (define @t151 () (@var "X3" $$unsorted)) % 10.70/10.98 (define @t152 () (tptp.leq @t151 @t150)) % 10.70/10.98 (define @t153 () (tptp.memberP @t10 @t150)) % 10.70/10.98 (define @t154 () (= @t151 @t150)) % 10.70/10.98 (define @t155 () (not @t154)) % 10.70/10.98 (define @t156 () (tptp.ssItem @t150)) % 10.70/10.98 (define @t157 () (and @t156 @t155 @t153 @t152)) % 10.70/10.98 (define @t158 () (@list @t150)) % 10.70/10.98 (define @t159 () (exists @t158 @t157)) % 10.70/10.98 (define @t160 () (not (tptp.memberP @t10 @t151))) % 10.70/10.98 (define @t161 () (tptp.cons @t151 tptp.nil)) % 10.70/10.98 (define @t162 () (not (= @t161 @t12))) % 10.70/10.98 (define @t163 () (or @t162 @t160 @t159)) % 10.70/10.98 (define @t164 () (tptp.ssItem @t151)) % 10.70/10.98 (define @t165 () (=> @t164 @t163)) % 10.70/10.98 (define @t166 () (@list @t151)) % 10.70/10.98 (define @t167 () (forall @t166 @t165)) % 10.70/10.98 (define @t168 () (and @t167 @t149)) % 10.70/10.98 (define @t169 () (@var "X2" $$unsorted)) % 10.70/10.98 (define @t170 () (@var "X1" $$unsorted)) % 10.70/10.98 (define @t171 () (and (or (not (tptp.memberP @t34 @t169)) (tptp.lt @t169 @t35)) (or (not (tptp.memberP @t170 @t169)) (tptp.lt @t35 @t169)))) % 10.70/10.98 (define @t172 () (tptp.ssItem @t169)) % 10.70/10.98 (define @t173 () (@list @t169)) % 10.70/10.98 (define @t174 () (forall @t173 (=> @t172 @t171))) % 10.70/10.98 (define @t175 () (tptp.cons @t35 tptp.nil)) % 10.70/10.98 (define @t176 () (tptp.app @t34 @t175)) % 10.70/10.98 (define @t177 () (tptp.app @t176 @t170)) % 10.70/10.98 (define @t178 () (not (= @t177 @t2))) % 10.70/10.98 (define @t179 () (or @t178 @t174)) % 10.70/10.98 (define @t180 () (tptp.ssList @t170)) % 10.70/10.98 (define @t181 () (=> @t180 @t179)) % 10.70/10.98 (define @t182 () (@list @t170)) % 10.70/10.98 (define @t183 () (forall @t182 @t181)) % 10.70/10.98 (define @t184 () (=> @t37 @t183)) % 10.70/10.98 (define @t185 () (forall @t38 @t184)) % 10.70/10.98 (define @t186 () (tptp.ssItem @t35)) % 10.70/10.98 (define @t187 () (=> @t186 @t185)) % 10.70/10.98 (define @t188 () (forall @t40 @t187)) % 10.70/10.98 (define @t189 () (not (= @t2 @t12))) % 10.70/10.98 (define @t190 () (not (= @t1 @t10))) % 10.70/10.98 (define @t191 () (or @t190 @t189 @t188 @t168)) % 10.70/10.98 (define @t192 () (=> @t13 @t191)) % 10.70/10.98 (define @t193 () (forall @t14 @t192)) % 10.70/10.98 (define @t194 () (=> @t15 @t193)) % 10.70/10.98 (define @t195 () (forall @t16 @t194)) % 10.70/10.98 (define @t196 () (=> @t21 @t195)) % 10.70/10.98 (define @t197 () (forall @t7 @t196)) % 10.70/10.98 (define @t198 () (=> @t17 @t197)) % 10.70/10.98 (define @t199 () (forall @t9 @t198)) % 10.70/10.98 (define @t200 () (not @t199)) % 10.70/10.98 (define @t201 () (@var "BOUND_VARIABLE_11265" $$unsorted)) % 10.70/10.98 (define @t202 () (@var "BOUND_VARIABLE_11261" $$unsorted)) % 10.70/10.98 (define @t203 () (@var "BOUND_VARIABLE_11263" $$unsorted)) % 10.70/10.98 (define @t204 () (tptp.app (tptp.app @t203 (tptp.cons @t202 tptp.nil)) @t201)) % 10.70/10.98 (define @t205 () (@var "BOUND_VARIABLE_11292" $$unsorted)) % 10.70/10.98 (define @t206 () (not (= tptp.nil @t205))) % 10.70/10.98 (define @t207 () (@var "BOUND_VARIABLE_11294" $$unsorted)) % 10.70/10.98 (define @t208 () (not @t156)) % 10.70/10.98 (define @t209 () (not (forall @t158 (or @t208 (= @t150 @t207) (not (tptp.memberP @t205 @t150)) (not (tptp.leq @t207 @t150)))))) % 10.70/10.98 (define @t210 () (not (tptp.memberP @t205 @t207))) % 10.70/10.98 (define @t211 () (tptp.cons @t207 tptp.nil)) % 10.70/10.98 (define @t212 () (not (tptp.ssItem @t207))) % 10.70/10.98 (define @t213 () (or @t212 (not (= @t204 @t211)) @t210 @t209)) % 10.70/10.98 (define @t214 () (and @t213 (or @t206 (not (= tptp.nil @t204))))) % 10.70/10.98 (define @t215 () (not (tptp.ssList @t205))) % 10.70/10.98 (define @t216 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 10.70/10.98 (define @t217 () (and (or (not (tptp.memberP @t203 @t216)) (tptp.lt @t216 @t202)) (or (not (tptp.memberP @t201 @t216)) (tptp.lt @t202 @t216)))) % 10.70/10.98 (define @t218 () (not (tptp.ssItem @t216))) % 10.70/10.98 (define @t219 () (not (tptp.ssList @t201))) % 10.70/10.98 (define @t220 () (not (tptp.ssList @t203))) % 10.70/10.98 (define @t221 () (not (tptp.ssItem @t202))) % 10.70/10.98 (define @t222 () (not (tptp.ssList @t204))) % 10.70/10.98 (define @t223 () (or @t222 @t221 @t220 @t219 @t218 @t217 @t215 @t214)) % 10.70/10.98 (define @t224 () (@list @t202 @t203 @t201 @t216 @t205 @t207)) % 10.70/10.98 (define @t225 () (forall @t224 @t223)) % 10.70/10.98 (define @t226 () (@quantifiers_skolemize @t225 3)) % 10.70/10.98 (define @t227 () (not (= @t204 tptp.nil))) % 10.70/10.98 (define @t228 () (or @t206 @t227)) % 10.70/10.98 (define @t229 () (and @t213 @t228)) % 10.70/10.98 (define @t230 () (not (= @t204 @t204))) % 10.70/10.98 (define @t231 () (or @t222 @t221 @t220 @t219 @t230 @t218 @t217 @t215 @t229)) % 10.70/10.98 (define @t232 () (= @t2 tptp.nil)) % 10.70/10.98 (define @t233 () (not @t232)) % 10.70/10.98 (define @t234 () (or @t212 (not (= @t2 @t211)) @t210 @t209)) % 10.70/10.98 (define @t235 () (and @t234 (or @t206 @t233))) % 10.70/10.98 (define @t236 () (not (= @t2 @t204))) % 10.70/10.98 (define @t237 () (not @t17)) % 10.70/10.98 (define @t238 () (or @t236 @t237 @t221 @t220 @t219 @t236 @t218 @t217 @t215 @t235)) % 10.70/10.98 (define @t239 () (or @t237 @t221 @t220 @t219 @t236 @t218 @t217 @t215 @t235)) % 10.70/10.98 (define @t240 () (forall @t9 @t239)) % 10.70/10.98 (define @t241 () (forall @t224 @t240)) % 10.70/10.98 (define @t242 () (forall (@list @t202 @t203 @t201 @t216 @t205 @t207 @t2) @t239)) % 10.70/10.98 (define @t243 () (@list @t2 @t202 @t203 @t201 @t216 @t205 @t207)) % 10.70/10.98 (define @t244 () (not (= @t205 tptp.nil))) % 10.70/10.98 (define @t245 () (or @t244 @t233)) % 10.70/10.98 (define @t246 () (and @t234 @t245)) % 10.70/10.98 (define @t247 () (or @t237 @t221 @t220 @t219 @t236 @t218 @t217 @t215 @t246)) % 10.70/10.98 (define @t248 () (or @t215 @t246)) % 10.70/10.98 (define @t249 () (or @t221 @t220 @t219 @t236 @t218 @t217)) % 10.70/10.98 (define @t250 () (or @t237 @t249 @t248)) % 10.70/10.98 (define @t251 () (forall @t243 @t250)) % 10.70/10.98 (define @t252 () (forall @t224 @t250)) % 10.70/10.98 (define @t253 () (forall (@list @t205 @t207) @t248)) % 10.70/10.98 (define @t254 () (@var "BOUND_VARIABLE_11236" $$unsorted)) % 10.70/10.98 (define @t255 () (forall (@list @t202 @t203 @t201 @t216) @t249)) % 10.70/10.98 (define @t256 () (@var "BOUND_VARIABLE_11035" $$unsorted)) % 10.70/10.98 (define @t257 () (@var "BOUND_VARIABLE_11033" $$unsorted)) % 10.70/10.98 (define @t258 () (@var "BOUND_VARIABLE_11031" $$unsorted)) % 10.70/10.98 (define @t259 () (or @t237 @t255 @t253)) % 10.70/10.98 (define @t260 () (= @t1 tptp.nil)) % 10.70/10.98 (define @t261 () (not @t260)) % 10.70/10.98 (define @t262 () (or @t261 @t233)) % 10.70/10.98 (define @t263 () (not (tptp.memberP @t1 @t150))) % 10.70/10.98 (define @t264 () (or (not (tptp.ssItem @t254)) (not (= @t2 (tptp.cons @t254 tptp.nil))) (not (tptp.memberP @t1 @t254)) (not (forall @t158 (or @t208 (= @t150 @t254) @t263 (not (tptp.leq @t254 @t150))))))) % 10.70/10.98 (define @t265 () (and @t264 @t262)) % 10.70/10.98 (define @t266 () (not @t21)) % 10.70/10.98 (define @t267 () (or @t266 @t265)) % 10.70/10.98 (define @t268 () (forall (@list @t1 @t254) @t267)) % 10.70/10.98 (define @t269 () (and (or (not (tptp.memberP @t258 @t256)) (tptp.lt @t256 @t35)) (or (not (tptp.memberP @t257 @t256)) (tptp.lt @t35 @t256)))) % 10.70/10.98 (define @t270 () (not (tptp.ssItem @t256))) % 10.70/10.98 (define @t271 () (not (= @t2 (tptp.app (tptp.app @t258 @t175) @t257)))) % 10.70/10.98 (define @t272 () (not (tptp.ssList @t257))) % 10.70/10.98 (define @t273 () (not (tptp.ssList @t258))) % 10.70/10.98 (define @t274 () (not @t186)) % 10.70/10.98 (define @t275 () (or @t274 @t273 @t272 @t271 @t270 @t269)) % 10.70/10.98 (define @t276 () (@list @t35 @t258 @t257 @t256)) % 10.70/10.98 (define @t277 () (forall @t276 @t275)) % 10.70/10.98 (define @t278 () (or @t237 @t277 @t268)) % 10.70/10.98 (define @t279 () (or @t277 @t237 @t268)) % 10.70/10.98 (define @t280 () (@list @t254)) % 10.70/10.98 (define @t281 () (forall @t280 @t267)) % 10.70/10.98 (define @t282 () (forall @t280 @t262)) % 10.70/10.98 (define @t283 () (forall @t280 @t264)) % 10.70/10.98 (define @t284 () (@var "BOUND_VARIABLE_11205" $$unsorted)) % 10.70/10.98 (define @t285 () (@list @t284)) % 10.70/10.98 (define @t286 () (and @t283 @t282)) % 10.70/10.98 (define @t287 () (forall @t280 @t265)) % 10.70/10.98 (define @t288 () (or @t266 @t287)) % 10.70/10.98 (define @t289 () (and (forall (@list @t284) (or (not (tptp.ssItem @t284)) (not (= @t2 (tptp.cons @t284 tptp.nil))) (not (tptp.memberP @t1 @t284)) (not (forall @t158 (or @t208 (= @t150 @t284) @t263 (not (tptp.leq @t284 @t150))))))) @t262)) % 10.70/10.98 (define @t290 () (or @t266 @t289)) % 10.70/10.98 (define @t291 () (forall @t7 @t290)) % 10.70/10.98 (define @t292 () (or @t277 @t237 @t291)) % 10.70/10.98 (define @t293 () (or @t277 @t237 @t290)) % 10.70/10.98 (define @t294 () (or @t266 @t277 @t237 @t289)) % 10.70/10.98 (define @t295 () (or @t277 @t266 @t237 @t289)) % 10.70/10.98 (define @t296 () (@var "BOUND_VARIABLE_11170" $$unsorted)) % 10.70/10.98 (define @t297 () (@list @t296)) % 10.70/10.98 (define @t298 () (forall @t297 @t262)) % 10.70/10.98 (define @t299 () (not (forall @t158 (or @t208 (= @t150 @t296) @t263 (not (tptp.leq @t296 @t150)))))) % 10.70/10.98 (define @t300 () (not (tptp.memberP @t1 @t296))) % 10.70/10.98 (define @t301 () (tptp.cons @t296 tptp.nil)) % 10.70/10.98 (define @t302 () (not (tptp.ssItem @t296))) % 10.70/10.98 (define @t303 () (or @t302 (not (= @t2 @t301)) @t300 @t299)) % 10.70/10.98 (define @t304 () (forall @t297 @t303)) % 10.70/10.98 (define @t305 () (@list @t296)) % 10.70/10.98 (define @t306 () (and @t304 @t298)) % 10.70/10.98 (define @t307 () (and @t303 @t262)) % 10.70/10.98 (define @t308 () (forall @t297 @t307)) % 10.70/10.98 (define @t309 () (or @t237 @t308)) % 10.70/10.98 (define @t310 () (or @t237 @t307)) % 10.70/10.98 (define @t311 () (not (= @t2 @t2))) % 10.70/10.98 (define @t312 () (or @t237 @t311 @t307)) % 10.70/10.98 (define @t313 () (not (= @t12 tptp.nil))) % 10.70/10.98 (define @t314 () (or @t261 @t313)) % 10.70/10.98 (define @t315 () (or @t302 (not (= @t12 @t301)) @t300 @t299)) % 10.70/10.98 (define @t316 () (and @t315 @t314)) % 10.70/10.98 (define @t317 () (not @t15)) % 10.70/10.98 (define @t318 () (or @t189 @t317 @t189 @t316)) % 10.70/10.98 (define @t319 () (or @t317 @t189 @t316)) % 10.70/10.98 (define @t320 () (forall @t16 @t319)) % 10.70/10.98 (define @t321 () (forall @t297 @t320)) % 10.70/10.98 (define @t322 () (forall (@list @t296 @t12) @t319)) % 10.70/10.98 (define @t323 () (forall (@list @t12 @t296) @t319)) % 10.70/10.98 (define @t324 () (forall @t297 @t319)) % 10.70/10.98 (define @t325 () (forall @t297 @t314)) % 10.70/10.98 (define @t326 () (forall @t297 @t315)) % 10.70/10.98 (define @t327 () (@var "BOUND_VARIABLE_11139" $$unsorted)) % 10.70/10.98 (define @t328 () (@list @t327)) % 10.70/10.98 (define @t329 () (and @t326 @t325)) % 10.70/10.98 (define @t330 () (forall @t297 @t316)) % 10.70/10.98 (define @t331 () (or @t317 @t189 @t330)) % 10.70/10.98 (define @t332 () (and (forall (@list @t327) (or (not (tptp.ssItem @t327)) (not (= @t12 (tptp.cons @t327 tptp.nil))) (not (tptp.memberP @t1 @t327)) (not (forall @t158 (or @t208 (= @t150 @t327) @t263 (not (tptp.leq @t327 @t150))))))) @t314)) % 10.70/10.98 (define @t333 () (or @t317 @t189 @t332)) % 10.70/10.98 (define @t334 () (forall @t16 @t333)) % 10.70/10.98 (define @t335 () (or @t277 @t266 @t334)) % 10.70/10.98 (define @t336 () (or @t277 @t266 @t333)) % 10.70/10.98 (define @t337 () (or @t317 @t189 @t277 @t266 @t332)) % 10.70/10.98 (define @t338 () (or @t189 @t277 @t266 @t332)) % 10.70/10.98 (define @t339 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 10.70/10.98 (define @t340 () (@list @t339)) % 10.70/10.98 (define @t341 () (forall @t340 @t314)) % 10.70/10.98 (define @t342 () (not (tptp.leq @t339 @t150))) % 10.70/10.98 (define @t343 () (= @t150 @t339)) % 10.70/10.98 (define @t344 () (not (= @t12 (tptp.cons @t339 tptp.nil)))) % 10.70/10.98 (define @t345 () (not (tptp.ssItem @t339))) % 10.70/10.98 (define @t346 () (or @t345 @t344 (not (tptp.memberP @t1 @t339)) (not (forall @t158 (or @t208 @t343 @t263 @t342))))) % 10.70/10.98 (define @t347 () (forall @t340 @t346)) % 10.70/10.98 (define @t348 () (@list @t339)) % 10.70/10.98 (define @t349 () (and @t347 @t341)) % 10.70/10.98 (define @t350 () (and @t346 @t314)) % 10.70/10.98 (define @t351 () (forall @t340 @t350)) % 10.70/10.98 (define @t352 () (or @t266 @t351)) % 10.70/10.98 (define @t353 () (or @t266 @t350)) % 10.70/10.98 (define @t354 () (not (= @t1 @t1))) % 10.70/10.98 (define @t355 () (or @t266 @t354 @t350)) % 10.70/10.98 (define @t356 () (or (not (= @t10 tptp.nil)) @t313)) % 10.70/10.98 (define @t357 () (not @t153)) % 10.70/10.98 (define @t358 () (not (tptp.memberP @t10 @t339))) % 10.70/10.98 (define @t359 () (and (or @t345 @t344 @t358 (not (forall @t158 (or @t208 @t343 @t357 @t342)))) @t356)) % 10.70/10.98 (define @t360 () (not @t13)) % 10.70/10.98 (define @t361 () (or @t190 @t360 @t190 @t359)) % 10.70/10.98 (define @t362 () (or @t360 @t190 @t359)) % 10.70/10.98 (define @t363 () (forall @t14 @t362)) % 10.70/10.98 (define @t364 () (forall @t340 @t363)) % 10.70/10.98 (define @t365 () (forall (@list @t339 @t10) @t362)) % 10.70/10.98 (define @t366 () (@list @t10 @t339)) % 10.70/10.98 (define @t367 () (or @t208 (= @t339 @t150) @t357 @t342)) % 10.70/10.98 (define @t368 () (forall @t158 @t367)) % 10.70/10.98 (define @t369 () (not @t368)) % 10.70/10.98 (define @t370 () (or @t345 @t344 @t358 @t369)) % 10.70/10.98 (define @t371 () (and @t370 @t356)) % 10.70/10.98 (define @t372 () (or @t360 @t190 @t371)) % 10.70/10.98 (define @t373 () (forall @t366 @t372)) % 10.70/10.98 (define @t374 () (forall @t340 @t372)) % 10.70/10.98 (define @t375 () (forall @t340 @t356)) % 10.70/10.98 (define @t376 () (forall @t340 @t370)) % 10.70/10.98 (define @t377 () (and @t376 @t375)) % 10.70/10.98 (define @t378 () (forall @t340 @t371)) % 10.70/10.98 (define @t379 () (or @t360 @t190 @t378)) % 10.70/10.98 (define @t380 () (not @t152)) % 10.70/10.98 (define @t381 () (not (forall @t158 (or @t208 @t154 @t357 @t380)))) % 10.70/10.98 (define @t382 () (not (= @t12 @t161))) % 10.70/10.98 (define @t383 () (not @t164)) % 10.70/10.98 (define @t384 () (or @t383 @t382 @t160 @t381)) % 10.70/10.98 (define @t385 () (and (forall @t166 @t384) @t356)) % 10.70/10.98 (define @t386 () (or @t360 @t190 @t385)) % 10.70/10.98 (define @t387 () (forall @t14 @t386)) % 10.70/10.98 (define @t388 () (or @t189 @t277 @t387)) % 10.70/10.98 (define @t389 () (or @t189 @t277 @t386)) % 10.70/10.98 (define @t390 () (or @t360 @t190 @t189 @t277 @t385)) % 10.70/10.98 (define @t391 () (or @t190 @t189 @t277 @t385)) % 10.70/10.98 (define @t392 () (or @t382 @t160 @t381)) % 10.70/10.98 (define @t393 () (not @t155)) % 10.70/10.98 (define @t394 () (or @t208 @t393 @t357 @t380)) % 10.70/10.98 (define @t395 () (forall @t158 (not @t157))) % 10.70/10.98 (define @t396 () (not @t395)) % 10.70/10.98 (define @t397 () (or @t273 @t272 @t271 @t270 @t269)) % 10.70/10.98 (define @t398 () (or @t274 @t397)) % 10.70/10.98 (define @t399 () (forall @t276 @t398)) % 10.70/10.98 (define @t400 () (@list @t258 @t257 @t256)) % 10.70/10.98 (define @t401 () (forall @t400 @t398)) % 10.70/10.98 (define @t402 () (forall @t400 @t397)) % 10.70/10.98 (define @t403 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 10.70/10.98 (define @t404 () (@var "BOUND_VARIABLE_11000" $$unsorted)) % 10.70/10.98 (define @t405 () (or @t274 @t402)) % 10.70/10.98 (define @t406 () (and (or (not (tptp.memberP @t34 @t403)) (tptp.lt @t403 @t35)) (or (not (tptp.memberP @t404 @t403)) (tptp.lt @t35 @t403)))) % 10.70/10.98 (define @t407 () (not (tptp.ssItem @t403))) % 10.70/10.98 (define @t408 () (not (= @t2 (tptp.app @t176 @t404)))) % 10.70/10.98 (define @t409 () (not (tptp.ssList @t404))) % 10.70/10.98 (define @t410 () (not @t37)) % 10.70/10.98 (define @t411 () (or @t410 @t409 @t408 @t407 @t406)) % 10.70/10.98 (define @t412 () (@list @t34 @t404 @t403)) % 10.70/10.98 (define @t413 () (forall @t412 @t411)) % 10.70/10.98 (define @t414 () (or @t409 @t408 @t407 @t406)) % 10.70/10.98 (define @t415 () (or @t410 @t414)) % 10.70/10.98 (define @t416 () (forall @t412 @t415)) % 10.70/10.98 (define @t417 () (@list @t404 @t403)) % 10.70/10.98 (define @t418 () (forall @t417 @t415)) % 10.70/10.98 (define @t419 () (forall @t417 @t414)) % 10.70/10.98 (define @t420 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 10.70/10.98 (define @t421 () (or @t410 @t419)) % 10.70/10.98 (define @t422 () (and (or (not (tptp.memberP @t34 @t420)) (tptp.lt @t420 @t35)) (or (not (tptp.memberP @t170 @t420)) (tptp.lt @t35 @t420)))) % 10.70/10.98 (define @t423 () (not (tptp.ssItem @t420))) % 10.70/10.98 (define @t424 () (not (= @t2 @t177))) % 10.70/10.98 (define @t425 () (not @t180)) % 10.70/10.98 (define @t426 () (or @t425 @t424 @t423 @t422)) % 10.70/10.98 (define @t427 () (@list @t170 @t420)) % 10.70/10.98 (define @t428 () (forall @t427 @t426)) % 10.70/10.98 (define @t429 () (or @t423 @t422)) % 10.70/10.98 (define @t430 () (or @t425 @t424 @t429)) % 10.70/10.98 (define @t431 () (forall @t427 @t430)) % 10.70/10.98 (define @t432 () (@list @t420)) % 10.70/10.98 (define @t433 () (forall @t432 @t430)) % 10.70/10.98 (define @t434 () (forall @t432 @t429)) % 10.70/10.98 (define @t435 () (or @t425 @t424 @t434)) % 10.70/10.98 (define @t436 () (forall @t173 (or (not @t172) @t171))) % 10.70/10.98 (define @t437 () (or @t425 @t424 @t436)) % 10.70/10.98 (define @t438 () (or @t424 @t436)) % 10.70/10.98 (define @t439 () (tptp.ssItem @t226)) % 10.70/10.98 (define @t440 () (@quantifiers_skolemize @t225 2)) % 10.70/10.98 (define @t441 () (@quantifiers_skolemize @t225 0)) % 10.70/10.98 (define @t442 () (tptp.cons @t441 tptp.nil)) % 10.70/10.98 (define @t443 () (@quantifiers_skolemize @t225 1)) % 10.70/10.98 (define @t444 () (tptp.app @t443 @t442)) % 10.70/10.98 (define @t445 () (tptp.app @t444 @t440)) % 10.70/10.98 (define @t446 () (= tptp.nil @t445)) % 10.70/10.98 (define @t447 () (not @t446)) % 10.70/10.98 (define @t448 () (@quantifiers_skolemize @t225 4)) % 10.70/10.98 (define @t449 () (or (not (= tptp.nil @t448)) @t447)) % 10.70/10.98 (define @t450 () (@quantifiers_skolemize @t225 5)) % 10.70/10.98 (define @t451 () (tptp.cons @t450 tptp.nil)) % 10.70/10.98 (define @t452 () (= @t445 @t451)) % 10.70/10.98 (define @t453 () (not @t452)) % 10.70/10.98 (define @t454 () (tptp.ssItem @t450)) % 10.70/10.98 (define @t455 () (not @t454)) % 10.70/10.98 (define @t456 () (or @t455 @t453 (not (tptp.memberP @t448 @t450)) (not (forall @t158 (or @t208 (= @t150 @t450) (not (tptp.memberP @t448 @t150)) (not (tptp.leq @t450 @t150))))))) % 10.70/10.98 (define @t457 () (and @t456 @t449)) % 10.70/10.98 (define @t458 () (tptp.memberP @t440 @t226)) % 10.70/10.98 (define @t459 () (not @t458)) % 10.70/10.98 (define @t460 () (or @t459 (tptp.lt @t441 @t226))) % 10.70/10.98 (define @t461 () (tptp.memberP @t443 @t226)) % 10.70/10.98 (define @t462 () (not @t461)) % 10.70/10.98 (define @t463 () (or @t462 (tptp.lt @t226 @t441))) % 10.70/10.98 (define @t464 () (and @t463 @t460)) % 10.70/10.98 (define @t465 () (not @t439)) % 10.70/10.98 (define @t466 () (tptp.ssList @t440)) % 10.70/10.98 (define @t467 () (not @t466)) % 10.70/10.98 (define @t468 () (tptp.ssList @t443)) % 10.70/10.98 (define @t469 () (not @t468)) % 10.70/10.98 (define @t470 () (tptp.ssItem @t441)) % 10.70/10.98 (define @t471 () (not @t470)) % 10.70/10.98 (define @t472 () (or (not (tptp.ssList @t445)) @t471 @t469 @t467 @t465 @t464 (not (tptp.ssList @t448)) @t457)) % 10.70/10.98 (define @t473 () (@list true)) % 10.70/10.98 (define @t474 () (@list @t472)) % 10.70/10.98 (define @t475 () (tptp.memberP tptp.nil @t226)) % 10.70/10.98 (define @t476 () (not @t475)) % 10.70/10.98 (define @t477 () (or @t465 @t476)) % 10.70/10.98 (define @t478 () (@list false false)) % 10.70/10.98 (define @t479 () (@var "BOUND_VARIABLE_9696" $$unsorted)) % 10.70/10.98 (define @t480 () (@var "BOUND_VARIABLE_9694" $$unsorted)) % 10.70/10.98 (define @t481 () (= (tptp.memberP (tptp.app @t480 @t479) @t2) (or (tptp.memberP @t480 @t2) (tptp.memberP @t479 @t2)))) % 10.70/10.98 (define @t482 () (not (tptp.ssList @t479))) % 10.70/10.98 (define @t483 () (not (tptp.ssList @t480))) % 10.70/10.98 (define @t484 () (not @t8)) % 10.70/10.98 (define @t485 () (or @t483 @t482 @t481)) % 10.70/10.98 (define @t486 () (or @t484 @t485)) % 10.70/10.98 (define @t487 () (forall (@list @t2 @t480 @t479) @t486)) % 10.70/10.98 (define @t488 () (@list @t480 @t479)) % 10.70/10.98 (define @t489 () (forall @t488 @t486)) % 10.70/10.98 (define @t490 () (forall @t488 @t485)) % 10.70/10.98 (define @t491 () (@var "BOUND_VARIABLE_9675" $$unsorted)) % 10.70/10.98 (define @t492 () (or @t484 @t490)) % 10.70/10.98 (define @t493 () (= (tptp.memberP (tptp.app @t1 @t491) @t2) (or @t91 (tptp.memberP @t491 @t2)))) % 10.70/10.98 (define @t494 () (not (tptp.ssList @t491))) % 10.70/10.98 (define @t495 () (or @t266 @t494 @t493)) % 10.70/10.98 (define @t496 () (@list @t1 @t491)) % 10.70/10.98 (define @t497 () (forall @t496 @t495)) % 10.70/10.98 (define @t498 () (or @t494 @t493)) % 10.70/10.98 (define @t499 () (or @t266 @t498)) % 10.70/10.98 (define @t500 () (forall @t496 @t499)) % 10.70/10.98 (define @t501 () (@list @t491)) % 10.70/10.98 (define @t502 () (forall @t501 @t499)) % 10.70/10.98 (define @t503 () (forall @t501 @t498)) % 10.70/10.98 (define @t504 () (@list @t12)) % 10.70/10.98 (define @t505 () (or @t266 @t503)) % 10.70/10.98 (define @t506 () (forall @t16 (or @t317 @t92))) % 10.70/10.98 (define @t507 () (tptp.tl @t444)) % 10.70/10.98 (define @t508 () (or @t237 @t232 @t68)) % 10.70/10.98 (define @t509 () (not @t233)) % 10.70/10.98 (define @t510 () (=> @t233 @t68)) % 10.70/10.98 (define @t511 () (tptp.ssList @t507)) % 10.70/10.98 (define @t512 () (tptp.ssList @t444)) % 10.70/10.98 (define @t513 () (not @t512)) % 10.70/10.98 (define @t514 () (= @t444 tptp.nil)) % 10.70/10.98 (define @t515 () (or @t513 @t514 @t511)) % 10.70/10.98 (define @t516 () (forall @t9 @t508)) % 10.70/10.98 (define @t517 () (= tptp.nil @t444)) % 10.70/10.98 (define @t518 () (or @t513 @t517 @t511)) % 10.70/10.98 (define @t519 () (@list false)) % 10.70/10.98 (define @t520 () (@var "BOUND_VARIABLE_10636" $$unsorted)) % 10.70/10.98 (define @t521 () (and (= @t520 tptp.nil) @t232)) % 10.70/10.98 (define @t522 () (= tptp.nil (tptp.app @t2 @t520))) % 10.70/10.98 (define @t523 () (= @t522 @t521)) % 10.70/10.98 (define @t524 () (not (tptp.ssList @t520))) % 10.70/10.98 (define @t525 () (or @t237 @t524 @t523)) % 10.70/10.98 (define @t526 () (or @t524 @t523)) % 10.70/10.98 (define @t527 () (or @t237 @t526)) % 10.70/10.98 (define @t528 () (@list @t2 @t520)) % 10.70/10.98 (define @t529 () (forall @t528 @t527)) % 10.70/10.98 (define @t530 () (@list @t520)) % 10.70/10.98 (define @t531 () (forall @t530 @t527)) % 10.70/10.98 (define @t532 () (forall @t530 @t526)) % 10.70/10.98 (define @t533 () (@list @t1)) % 10.70/10.98 (define @t534 () (or @t237 @t532)) % 10.70/10.98 (define @t535 () (= @t132 (and @t260 @t232))) % 10.70/10.98 (define @t536 () (forall @t7 (or @t266 @t535))) % 10.70/10.98 (define @t537 () (= tptp.nil @t442)) % 10.70/10.98 (define @t538 () (= @t443 tptp.nil)) % 10.70/10.98 (define @t539 () (and @t537 @t538)) % 10.70/10.98 (define @t540 () (= @t517 @t539)) % 10.70/10.98 (define @t541 () (tptp.ssList @t442)) % 10.70/10.98 (define @t542 () (not @t541)) % 10.70/10.98 (define @t543 () (or @t469 @t542 @t540)) % 10.70/10.98 (define @t544 () (forall @t528 (or @t237 @t524 (= @t522 (and (= tptp.nil @t520) @t232))))) % 10.70/10.98 (define @t545 () (@list @t443 @t442)) % 10.70/10.98 (define @t546 () (= tptp.nil @t443)) % 10.70/10.98 (define @t547 () (and @t537 @t546)) % 10.70/10.98 (define @t548 () (= @t517 @t547)) % 10.70/10.98 (define @t549 () (or @t469 @t542 @t548)) % 10.70/10.98 (define @t550 () (@list @t544)) % 10.70/10.98 (define @t551 () (@var "BOUND_VARIABLE_9164" $$unsorted)) % 10.70/10.98 (define @t552 () (tptp.ssList (tptp.cons @t551 @t2))) % 10.70/10.98 (define @t553 () (not (tptp.ssItem @t551))) % 10.70/10.98 (define @t554 () (or @t553 @t552)) % 10.70/10.98 (define @t555 () (or @t237 @t554)) % 10.70/10.98 (define @t556 () (forall (@list @t2 @t551) @t555)) % 10.70/10.98 (define @t557 () (@list @t551)) % 10.70/10.98 (define @t558 () (forall @t557 @t555)) % 10.70/10.98 (define @t559 () (forall @t557 @t554)) % 10.70/10.98 (define @t560 () (or @t237 @t559)) % 10.70/10.98 (define @t561 () (not @t6)) % 10.70/10.98 (define @t562 () (forall @t7 (or @t561 @t45))) % 10.70/10.98 (define @t563 () (@list tptp.nil @t441)) % 10.70/10.98 (define @t564 () (not @t49)) % 10.70/10.98 (define @t565 () (or @t564 @t471 @t541)) % 10.70/10.98 (define @t566 () (@list false false false)) % 10.70/10.98 (define @t567 () (@var "BOUND_VARIABLE_9187" $$unsorted)) % 10.70/10.98 (define @t568 () (not (= @t2 (tptp.cons @t567 @t2)))) % 10.70/10.98 (define @t569 () (not (tptp.ssItem @t567))) % 10.70/10.98 (define @t570 () (or @t569 @t568)) % 10.70/10.98 (define @t571 () (or @t237 @t570)) % 10.70/10.98 (define @t572 () (forall (@list @t2 @t567) @t571)) % 10.70/10.98 (define @t573 () (@list @t567)) % 10.70/10.98 (define @t574 () (forall @t573 @t571)) % 10.70/10.98 (define @t575 () (forall @t573 @t570)) % 10.70/10.98 (define @t576 () (or @t237 @t575)) % 10.70/10.98 (define @t577 () (not (= @t2 @t44))) % 10.70/10.98 (define @t578 () (forall @t7 (or @t561 @t577))) % 10.70/10.98 (define @t579 () (not @t537)) % 10.70/10.98 (define @t580 () (or @t564 @t471 @t579)) % 10.70/10.98 (define @t581 () (not @t547)) % 10.70/10.98 (define @t582 () (@list @t537)) % 10.70/10.98 (define @t583 () (not @t517)) % 10.70/10.98 (define @t584 () (@list true false)) % 10.70/10.98 (define @t585 () (@var "BOUND_VARIABLE_9408" $$unsorted)) % 10.70/10.98 (define @t586 () (tptp.ssList (tptp.app @t2 @t585))) % 10.70/10.98 (define @t587 () (not (tptp.ssList @t585))) % 10.70/10.98 (define @t588 () (or @t587 @t586)) % 10.70/10.98 (define @t589 () (or @t237 @t588)) % 10.70/10.98 (define @t590 () (forall (@list @t2 @t585) @t589)) % 10.70/10.98 (define @t591 () (@list @t585)) % 10.70/10.98 (define @t592 () (forall @t591 @t589)) % 10.70/10.98 (define @t593 () (forall @t591 @t588)) % 10.70/10.98 (define @t594 () (or @t237 @t593)) % 10.70/10.98 (define @t595 () (forall @t7 (or @t266 @t78))) % 10.70/10.98 (define @t596 () (or @t469 @t542 @t512)) % 10.70/10.98 (define @t597 () (or (tptp.memberP @t507 @t226) @t458)) % 10.70/10.98 (define @t598 () (tptp.app @t507 @t440)) % 10.70/10.98 (define @t599 () (tptp.memberP @t598 @t226)) % 10.70/10.98 (define @t600 () (= @t599 @t597)) % 10.70/10.98 (define @t601 () (not @t511)) % 10.70/10.98 (define @t602 () (or @t465 @t601 @t467 @t600)) % 10.70/10.98 (define @t603 () (@list false false false false)) % 10.70/10.98 (define @t604 () (@var "BOUND_VARIABLE_9388" $$unsorted)) % 10.70/10.98 (define @t605 () (= @t2 (tptp.tl (tptp.cons @t604 @t2)))) % 10.70/10.98 (define @t606 () (not (tptp.ssItem @t604))) % 10.70/10.98 (define @t607 () (or @t606 @t605)) % 10.70/10.98 (define @t608 () (or @t237 @t607)) % 10.70/10.98 (define @t609 () (forall (@list @t2 @t604) @t608)) % 10.70/10.98 (define @t610 () (@list @t604)) % 10.70/10.98 (define @t611 () (forall @t610 @t608)) % 10.70/10.98 (define @t612 () (forall @t610 @t607)) % 10.70/10.98 (define @t613 () (or @t237 @t612)) % 10.70/10.98 (define @t614 () (= @t2 @t72)) % 10.70/10.98 (define @t615 () (forall @t7 (or @t561 @t614))) % 10.70/10.98 (define @t616 () (= tptp.nil @t440)) % 10.70/10.98 (define @t617 () (and @t616 @t514)) % 10.70/10.98 (define @t618 () (= @t446 @t617)) % 10.70/10.98 (define @t619 () (or @t513 @t467 @t618)) % 10.70/10.98 (define @t620 () (@list @t444 @t440)) % 10.70/10.98 (define @t621 () (and @t616 @t517)) % 10.70/10.98 (define @t622 () (= @t446 @t621)) % 10.70/10.98 (define @t623 () (or @t513 @t467 @t622)) % 10.70/10.98 (define @t624 () (not @t621)) % 10.70/10.98 (define @t625 () (@list @t456)) % 10.70/10.98 (define @t626 () (tptp.tl @t451)) % 10.70/10.98 (define @t627 () (= tptp.nil @t626)) % 10.70/10.98 (define @t628 () (or @t564 @t455 @t627)) % 10.70/10.98 (define @t629 () (tptp.tl @t445)) % 10.70/10.98 (define @t630 () (@var "BOUND_VARIABLE_10703" $$unsorted)) % 10.70/10.98 (define @t631 () (= (tptp.tl (tptp.app @t2 @t630)) (tptp.app @t67 @t630))) % 10.70/10.98 (define @t632 () (not (tptp.ssList @t630))) % 10.70/10.98 (define @t633 () (or @t237 @t232 @t632 @t631)) % 10.70/10.98 (define @t634 () (or @t632 @t631)) % 10.70/10.98 (define @t635 () (or @t237 @t232 @t634)) % 10.70/10.98 (define @t636 () (@list @t2 @t630)) % 10.70/10.98 (define @t637 () (forall @t636 @t635)) % 10.70/10.98 (define @t638 () (@list @t630)) % 10.70/10.98 (define @t639 () (forall @t638 @t635)) % 10.70/10.98 (define @t640 () (forall @t638 @t634)) % 10.70/10.98 (define @t641 () (or @t237 @t232 @t640)) % 10.70/10.98 (define @t642 () (or @t266 @t141)) % 10.70/10.98 (define @t643 () (forall @t7 @t642)) % 10.70/10.98 (define @t644 () (or @t237 @t232 @t643)) % 10.70/10.98 (define @t645 () (or @t232 @t643)) % 10.70/10.98 (define @t646 () (or @t232 @t642)) % 10.70/10.98 (define @t647 () (or @t266 @t232 @t141)) % 10.70/10.98 (define @t648 () (=> @t233 @t141)) % 10.70/10.98 (define @t649 () (= @t629 @t598)) % 10.70/10.98 (define @t650 () (or @t513 @t514 @t467 @t649)) % 10.70/10.98 (define @t651 () (forall @t636 @t633)) % 10.70/10.98 (define @t652 () (or @t513 @t517 @t467 @t649)) % 10.70/10.98 (define @t653 () (@list @t651)) % 10.70/10.98 (define @t654 () (not @t597)) % 10.70/10.98 (define @t655 () (@var "BOUND_VARIABLE_9301" $$unsorted)) % 10.70/10.98 (define @t656 () (tptp.cons @t655 @t1)) % 10.70/10.98 (define @t657 () (not (= @t2 @t656))) % 10.70/10.98 (define @t658 () (not (tptp.ssItem @t655))) % 10.70/10.98 (define @t659 () (or @t266 @t658 @t657)) % 10.70/10.98 (define @t660 () (@list @t1 @t655)) % 10.70/10.98 (define @t661 () (not (forall @t660 @t659))) % 10.70/10.98 (define @t662 () (or @t237 @t232 @t661)) % 10.70/10.98 (define @t663 () (or @t232 @t661)) % 10.70/10.98 (define @t664 () (or @t658 @t657)) % 10.70/10.98 (define @t665 () (or @t266 @t664)) % 10.70/10.98 (define @t666 () (forall @t660 @t665)) % 10.70/10.98 (define @t667 () (@list @t655)) % 10.70/10.98 (define @t668 () (forall @t667 @t665)) % 10.70/10.98 (define @t669 () (forall @t667 @t664)) % 10.70/10.98 (define @t670 () (or @t266 @t669)) % 10.70/10.98 (define @t671 () (= @t2 @t56)) % 10.70/10.98 (define @t672 () (forall @t16 (or (not @t41) (not @t671)))) % 10.70/10.98 (define @t673 () (not @t672)) % 10.70/10.98 (define @t674 () (and @t21 @t673)) % 10.70/10.98 (define @t675 () (forall @t7 (not @t674))) % 10.70/10.98 (define @t676 () (not @t675)) % 10.70/10.98 (define @t677 () (and @t41 @t671)) % 10.70/10.98 (define @t678 () (forall @t16 (not @t677))) % 10.70/10.98 (define @t679 () (not @t678)) % 10.70/10.98 (define @t680 () (not (= @t443 @t656))) % 10.70/10.98 (define @t681 () (or @t266 @t658 @t680)) % 10.70/10.98 (define @t682 () (forall @t660 @t681)) % 10.70/10.98 (define @t683 () (not @t682)) % 10.70/10.98 (define @t684 () (or @t469 @t538 @t683)) % 10.70/10.98 (define @t685 () (forall @t9 @t662)) % 10.70/10.98 (define @t686 () (forall @t660 (or @t266 @t658 (not (= @t656 @t443))))) % 10.70/10.98 (define @t687 () (not @t686)) % 10.70/10.98 (define @t688 () (or @t469 @t546 @t687)) % 10.70/10.98 (define @t689 () (@list @t685)) % 10.70/10.98 (define @t690 () (@list @t442 @t440)) % 10.70/10.98 (define @t691 () (tptp.app @t442 @t440)) % 10.70/10.98 (define @t692 () (tptp.ssList @t691)) % 10.70/10.98 (define @t693 () (or @t542 @t467 @t692)) % 10.70/10.98 (define @t694 () (tptp.tl @t443)) % 10.70/10.98 (define @t695 () (tptp.app @t694 @t691)) % 10.70/10.98 (define @t696 () (tptp.app @t443 @t691)) % 10.70/10.98 (define @t697 () (= (tptp.tl @t696) @t695)) % 10.70/10.98 (define @t698 () (not @t692)) % 10.70/10.98 (define @t699 () (or @t469 @t538 @t698 @t697)) % 10.70/10.98 (define @t700 () (or @t469 @t546 @t698 @t697)) % 10.70/10.98 (define @t701 () (@quantifiers_skolemize @t686 0)) % 10.70/10.98 (define @t702 () (@quantifiers_skolemize @t686 1)) % 10.70/10.98 (define @t703 () (tptp.cons @t702 @t701)) % 10.70/10.98 (define @t704 () (= @t443 @t703)) % 10.70/10.98 (define @t705 () (not @t704)) % 10.70/10.98 (define @t706 () (tptp.ssItem @t702)) % 10.70/10.98 (define @t707 () (not @t706)) % 10.70/10.98 (define @t708 () (tptp.ssList @t701)) % 10.70/10.98 (define @t709 () (not @t708)) % 10.70/10.98 (define @t710 () (or @t709 @t707 @t705)) % 10.70/10.98 (define @t711 () (not @t710)) % 10.70/10.98 (define @t712 () (not (= @t703 @t443))) % 10.70/10.98 (define @t713 () (or @t709 @t707 @t712)) % 10.70/10.98 (define @t714 () (not @t713)) % 10.70/10.98 (define @t715 () (= tptp.nil @t691)) % 10.70/10.98 (define @t716 () (and @t715 (= @t701 tptp.nil))) % 10.70/10.98 (define @t717 () (= tptp.nil (tptp.app @t701 @t691))) % 10.70/10.98 (define @t718 () (= @t717 @t716)) % 10.70/10.98 (define @t719 () (or @t709 @t698 @t718)) % 10.70/10.98 (define @t720 () (and @t715 (= tptp.nil @t701))) % 10.70/10.98 (define @t721 () (= @t717 @t720)) % 10.70/10.98 (define @t722 () (or @t709 @t698 @t721)) % 10.70/10.98 (define @t723 () (= @t701 (tptp.tl @t703))) % 10.70/10.98 (define @t724 () (or @t709 @t707 @t723)) % 10.70/10.98 (define @t725 () (= @t442 tptp.nil)) % 10.70/10.98 (define @t726 () (and @t616 @t725)) % 10.70/10.98 (define @t727 () (= @t715 @t726)) % 10.70/10.98 (define @t728 () (or @t542 @t467 @t727)) % 10.70/10.98 (define @t729 () (and @t616 @t537)) % 10.70/10.98 (define @t730 () (= @t715 @t729)) % 10.70/10.98 (define @t731 () (or @t542 @t467 @t730)) % 10.70/10.98 (define @t732 () (not @t729)) % 10.70/10.98 (define @t733 () (not @t715)) % 10.70/10.98 (define @t734 () (not @t720)) % 10.70/10.98 (define @t735 () (@var "BOUND_VARIABLE_10567" $$unsorted)) % 10.70/10.98 (define @t736 () (= (tptp.cons @t735 @t2) (tptp.app (tptp.cons @t735 tptp.nil) @t2))) % 10.70/10.98 (define @t737 () (not (tptp.ssItem @t735))) % 10.70/10.98 (define @t738 () (or @t737 @t736)) % 10.70/10.98 (define @t739 () (or @t237 @t738)) % 10.70/10.98 (define @t740 () (forall (@list @t2 @t735) @t739)) % 10.70/10.98 (define @t741 () (@list @t735)) % 10.70/10.98 (define @t742 () (forall @t741 @t739)) % 10.70/10.98 (define @t743 () (forall @t741 @t738)) % 10.70/10.98 (define @t744 () (or @t237 @t743)) % 10.70/10.98 (define @t745 () (forall @t7 (or @t561 @t121))) % 10.70/10.98 (define @t746 () (tptp.app @t442 tptp.nil)) % 10.70/10.98 (define @t747 () (= @t442 @t746)) % 10.70/10.98 (define @t748 () (or @t564 @t471 @t747)) % 10.70/10.98 (define @t749 () (@var "BOUND_VARIABLE_10608" $$unsorted)) % 10.70/10.98 (define @t750 () (@var "BOUND_VARIABLE_10606" $$unsorted)) % 10.70/10.98 (define @t751 () (= (tptp.app (tptp.app @t2 @t750) @t749) (tptp.app @t2 (tptp.app @t750 @t749)))) % 10.70/10.98 (define @t752 () (not (tptp.ssList @t749))) % 10.70/10.98 (define @t753 () (not (tptp.ssList @t750))) % 10.70/10.98 (define @t754 () (or @t753 @t752 @t751)) % 10.70/10.98 (define @t755 () (or @t237 @t754)) % 10.70/10.98 (define @t756 () (forall (@list @t2 @t750 @t749) @t755)) % 10.70/10.98 (define @t757 () (@list @t750 @t749)) % 10.70/10.98 (define @t758 () (forall @t757 @t755)) % 10.70/10.98 (define @t759 () (forall @t757 @t754)) % 10.70/10.98 (define @t760 () (@var "BOUND_VARIABLE_10588" $$unsorted)) % 10.70/10.98 (define @t761 () (or @t237 @t759)) % 10.70/10.98 (define @t762 () (= (tptp.app @t77 @t760) (tptp.app @t2 (tptp.app @t1 @t760)))) % 10.70/10.98 (define @t763 () (not (tptp.ssList @t760))) % 10.70/10.98 (define @t764 () (or @t266 @t763 @t762)) % 10.70/10.98 (define @t765 () (@list @t1 @t760)) % 10.70/10.98 (define @t766 () (forall @t765 @t764)) % 10.70/10.98 (define @t767 () (or @t763 @t762)) % 10.70/10.98 (define @t768 () (or @t266 @t767)) % 10.70/10.98 (define @t769 () (forall @t765 @t768)) % 10.70/10.98 (define @t770 () (@list @t760)) % 10.70/10.98 (define @t771 () (forall @t770 @t768)) % 10.70/10.98 (define @t772 () (forall @t770 @t767)) % 10.70/10.98 (define @t773 () (or @t266 @t772)) % 10.70/10.98 (define @t774 () (forall @t16 (or @t317 @t125))) % 10.70/10.98 (define @t775 () (= @t445 @t696)) % 10.70/10.98 (define @t776 () (or @t469 @t542 @t467 @t775)) % 10.70/10.98 (define @t777 () (not (= @t442 @t656))) % 10.70/10.98 (define @t778 () (or @t266 @t658 @t777)) % 10.70/10.98 (define @t779 () (forall @t660 @t778)) % 10.70/10.98 (define @t780 () (not @t779)) % 10.70/10.98 (define @t781 () (or @t542 @t725 @t780)) % 10.70/10.98 (define @t782 () (forall @t660 (or @t266 @t658 (not (= @t656 @t442))))) % 10.70/10.98 (define @t783 () (not @t782)) % 10.70/10.98 (define @t784 () (or @t542 @t537 @t783)) % 10.70/10.98 (define @t785 () (@quantifiers_skolemize @t782 0)) % 10.70/10.98 (define @t786 () (@quantifiers_skolemize @t782 1)) % 10.70/10.98 (define @t787 () (tptp.cons @t786 @t785)) % 10.70/10.98 (define @t788 () (= @t442 @t787)) % 10.70/10.98 (define @t789 () (not @t788)) % 10.70/10.98 (define @t790 () (not (tptp.ssItem @t786))) % 10.70/10.98 (define @t791 () (not (tptp.ssList @t785))) % 10.70/10.98 (define @t792 () (or @t791 @t790 @t789)) % 10.70/10.98 (define @t793 () (not @t792)) % 10.70/10.98 (define @t794 () (not (= @t787 @t442))) % 10.70/10.98 (define @t795 () (or @t791 @t790 @t794)) % 10.70/10.98 (define @t796 () (not @t795)) % 10.70/10.98 (define @t797 () (@var "BOUND_VARIABLE_8389" $$unsorted)) % 10.70/10.98 (define @t798 () (= (tptp.rearsegP @t2 @t797) (not (forall @t16 (or @t317 (not (= @t2 (tptp.app @t12 @t797)))))))) % 10.70/10.98 (define @t799 () (not (tptp.ssList @t797))) % 10.70/10.98 (define @t800 () (or @t799 @t798)) % 10.70/10.98 (define @t801 () (or @t237 @t800)) % 10.70/10.98 (define @t802 () (forall (@list @t2 @t797) @t801)) % 10.70/10.98 (define @t803 () (@list @t797)) % 10.70/10.98 (define @t804 () (forall @t803 @t801)) % 10.70/10.98 (define @t805 () (forall @t803 @t800)) % 10.70/10.98 (define @t806 () (or @t237 @t805)) % 10.70/10.98 (define @t807 () (= @t2 @t22)) % 10.70/10.98 (define @t808 () (= @t25 (not (forall @t16 (or @t317 (not @t807)))))) % 10.70/10.98 (define @t809 () (forall @t7 (or @t266 @t808))) % 10.70/10.98 (define @t810 () (and @t15 @t807)) % 10.70/10.98 (define @t811 () (forall @t16 (not @t810))) % 10.70/10.98 (define @t812 () (not @t811)) % 10.70/10.98 (define @t813 () (forall @t16 (or @t317 (not (= @t440 (tptp.app @t12 tptp.nil)))))) % 10.70/10.98 (define @t814 () (not @t813)) % 10.70/10.98 (define @t815 () (tptp.rearsegP @t440 tptp.nil)) % 10.70/10.98 (define @t816 () (= @t815 @t814)) % 10.70/10.98 (define @t817 () (or @t467 @t564 @t816)) % 10.70/10.98 (define @t818 () (@list @t440)) % 10.70/10.98 (define @t819 () (or @t467 @t815)) % 10.70/10.98 (define @t820 () (@quantifiers_skolemize @t813 0)) % 10.70/10.98 (define @t821 () (tptp.app @t820 tptp.nil)) % 10.70/10.98 (define @t822 () (= @t440 @t821)) % 10.70/10.98 (define @t823 () (not @t822)) % 10.70/10.98 (define @t824 () (tptp.ssList @t820)) % 10.70/10.98 (define @t825 () (not @t824)) % 10.70/10.98 (define @t826 () (or @t825 @t823)) % 10.70/10.98 (define @t827 () (@list @t826)) % 10.70/10.98 (define @t828 () (= @t2 @t138)) % 10.70/10.98 (define @t829 () (@list @t820)) % 10.70/10.98 (define @t830 () (= @t820 @t821)) % 10.70/10.98 (define @t831 () (or @t825 @t830)) % 10.70/10.98 (define @t832 () (= @t112 @t232)) % 10.70/10.98 (define @t833 () (tptp.rearsegP tptp.nil @t820)) % 10.70/10.98 (define @t834 () (= @t820 tptp.nil)) % 10.70/10.98 (define @t835 () (or @t825 (= @t833 @t834))) % 10.70/10.98 (define @t836 () (forall @t9 (or @t237 @t832))) % 10.70/10.98 (define @t837 () (= tptp.nil @t820)) % 10.70/10.98 (define @t838 () (= @t837 @t833)) % 10.70/10.98 (define @t839 () (or @t825 @t838)) % 10.70/10.98 (define @t840 () (@var "BOUND_VARIABLE_10081" $$unsorted)) % 10.70/10.98 (define @t841 () (@var "BOUND_VARIABLE_10083" $$unsorted)) % 10.70/10.98 (define @t842 () (tptp.rearsegP (tptp.app @t841 @t2) @t840)) % 10.70/10.98 (define @t843 () (not (tptp.ssList @t841))) % 10.70/10.98 (define @t844 () (not (tptp.rearsegP @t2 @t840))) % 10.70/10.98 (define @t845 () (not (tptp.ssList @t840))) % 10.70/10.98 (define @t846 () (or @t845 @t844 @t843 @t842)) % 10.70/10.98 (define @t847 () (or @t237 @t846)) % 10.70/10.98 (define @t848 () (forall (@list @t2 @t840 @t841) @t847)) % 10.70/10.98 (define @t849 () (@list @t840 @t841)) % 10.70/10.98 (define @t850 () (forall @t849 @t847)) % 10.70/10.98 (define @t851 () (forall @t849 @t846)) % 10.70/10.98 (define @t852 () (@var "BOUND_VARIABLE_10065" $$unsorted)) % 10.70/10.98 (define @t853 () (or @t237 @t851)) % 10.70/10.98 (define @t854 () (tptp.rearsegP (tptp.app @t852 @t2) @t1)) % 10.70/10.98 (define @t855 () (not (tptp.ssList @t852))) % 10.70/10.98 (define @t856 () (not @t25)) % 10.70/10.98 (define @t857 () (or @t266 @t856 @t855 @t854)) % 10.70/10.98 (define @t858 () (@list @t1 @t852)) % 10.70/10.98 (define @t859 () (forall @t858 @t857)) % 10.70/10.98 (define @t860 () (or @t855 @t854)) % 10.70/10.98 (define @t861 () (or @t266 @t856 @t860)) % 10.70/10.98 (define @t862 () (forall @t858 @t861)) % 10.70/10.98 (define @t863 () (@list @t852)) % 10.70/10.98 (define @t864 () (forall @t863 @t861)) % 10.70/10.98 (define @t865 () (forall @t863 @t860)) % 10.70/10.98 (define @t866 () (or @t266 @t856 @t865)) % 10.70/10.98 (define @t867 () (or @t317 @t103)) % 10.70/10.98 (define @t868 () (forall @t16 @t867)) % 10.70/10.98 (define @t869 () (or @t266 @t856 @t868)) % 10.70/10.98 (define @t870 () (or @t856 @t868)) % 10.70/10.98 (define @t871 () (or @t856 @t867)) % 10.70/10.98 (define @t872 () (or @t317 @t856 @t103)) % 10.70/10.98 (define @t873 () (tptp.rearsegP @t440 @t440)) % 10.70/10.98 (define @t874 () (or @t467 @t873)) % 10.70/10.98 (define @t875 () (tptp.rearsegP @t598 @t440)) % 10.70/10.98 (define @t876 () (not @t873)) % 10.70/10.98 (define @t877 () (or @t467 @t467 @t876 @t601 @t875)) % 10.70/10.98 (define @t878 () (and @t452 @t627 @t747 @t775 @t704 @t723 @t788 @t822 @t837 @t830 @t697)) % 10.70/10.98 (define @t879 () (not @t546)) % 10.70/10.98 (define @t880 () (and @t476 @t546 @t461)) % 10.70/10.98 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 10.70/10.98 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 10.70/10.98 (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))))))))))) % 10.70/10.98 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 10.70/10.98 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 10.70/10.98 (assume @p6 @t30) % 10.70/10.98 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 10.70/10.98 (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))))))))))))))))) % 10.70/10.98 (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)))))))))))))))) % 10.70/10.98 (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))))))))))))))))) % 10.70/10.98 (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))))))))))))))) % 10.70/10.98 (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))))))))))))))) % 10.70/10.98 (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)))))))))))))))) % 10.70/10.98 (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))))))))))))) % 10.70/10.98 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 10.70/10.98 (assume @p16 @t48) % 10.70/10.98 (assume @p17 @t49) % 10.70/10.98 (assume @p18 @t54) % 10.70/10.98 (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))))))))))) % 10.70/10.98 (assume @p20 @t64) % 10.70/10.98 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t44))))))) % 10.70/10.98 (assume @p22 (forall @t9 (=> @t17 (=> @t66 (tptp.ssItem @t65))))) % 10.70/10.98 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t44) @t1)))))) % 10.70/10.98 (assume @p24 @t71) % 10.70/10.98 (assume @p25 @t76) % 10.70/10.98 (assume @p26 @t81) % 10.70/10.98 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t82) (tptp.app @t56 @t2))))))))) % 10.70/10.98 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 10.70/10.98 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t84 @t83) @t3)))))) % 10.70/10.98 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t84 @t33) (tptp.leq @t2 @t12))))))))) % 10.70/10.98 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 10.70/10.98 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t85 @t83)))))) % 10.70/10.98 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t87 (not @t86))))))) % 10.70/10.98 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t87 @t42) @t88)))))))) % 10.70/10.98 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t89 @t86)))))) % 10.70/10.98 (assume @p36 @t97) % 10.70/10.98 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t90))))))))) % 10.70/10.98 (assume @p38 @t99) % 10.70/10.98 (assume @p39 (not (tptp.singletonP tptp.nil))) % 10.70/10.98 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 10.70/10.98 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 10.70/10.98 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 10.70/10.98 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 10.70/10.98 (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)))))))))))) % 10.70/10.98 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 10.70/10.98 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t61)))) % 10.70/10.98 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 10.70/10.98 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 (tptp.rearsegP @t1 @t2)) @t3)))))) % 10.70/10.98 (assume @p49 @t101) % 10.70/10.98 (assume @p50 @t109) % 10.70/10.98 (assume @p51 @t111) % 10.70/10.98 (assume @p52 @t114) % 10.70/10.98 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 10.70/10.98 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 10.70/10.98 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 10.70/10.98 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t102 @t10) @t1))))))))))) % 10.70/10.98 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 10.70/10.98 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t61)))) % 10.70/10.98 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t115)))) % 10.70/10.98 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 10.70/10.98 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t115)))) % 10.70/10.98 (assume @p62 (tptp.totalorderP tptp.nil)) % 10.70/10.98 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t115)))) % 10.70/10.98 (assume @p64 (tptp.strictorderP tptp.nil)) % 10.70/10.98 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t115)))) % 10.70/10.98 (assume @p66 (tptp.totalorderedP tptp.nil)) % 10.70/10.98 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t119) (or @t117 (and @t118 (tptp.totalorderedP @t1) (tptp.leq @t2 @t116))))))))) % 10.70/10.98 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t115)))) % 10.70/10.98 (assume @p69 (tptp.strictorderedP tptp.nil)) % 10.70/10.98 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t119) (or @t117 (and @t118 (tptp.strictorderedP @t1) (tptp.lt @t2 @t116))))))))) % 10.70/10.98 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t115)))) % 10.70/10.98 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 10.70/10.98 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t115)))) % 10.70/10.98 (assume @p74 (tptp.equalelemsP tptp.nil)) % 10.70/10.98 (assume @p75 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 10.70/10.98 (assume @p76 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t21 (= @t67 @t1))))))) % 10.70/10.98 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t118 @t66 (= @t116 @t65) (= (tptp.tl @t1) @t67)) @t55)))))) % 10.70/10.98 (assume @p78 (forall @t9 (=> @t17 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 10.70/10.98 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t77) @t120)))))))) % 10.70/10.98 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t82) @t120)))))))) % 10.70/10.98 (assume @p81 @t124) % 10.70/10.98 (assume @p82 @t130) % 10.70/10.98 (assume @p83 @t137) % 10.70/10.98 (assume @p84 @t140) % 10.70/10.98 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t66 (= (tptp.hd @t77) @t65))))))) % 10.70/10.98 (assume @p86 @t146) % 10.70/10.98 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t85 (tptp.geq @t1 @t2)) @t3)))))) % 10.70/10.98 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t85 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 10.70/10.98 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 10.70/10.98 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 10.70/10.98 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t84 @t42) @t88)))))))) % 10.70/10.98 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t84 (or @t3 @t87))))))) % 10.70/10.98 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t87 (and @t4 @t84))))))) % 10.70/10.98 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t89 (not (tptp.gt @t1 @t2)))))))) % 10.70/10.98 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t89 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 10.70/10.98 (assume @p96 @t200) % 10.70/10.98 (assume @p97 true) % 10.70/10.98 (step @p98 :rule bool-impl-elim :args (@t8 @t98)) % 10.70/10.98 (step @p99 :rule cong :premises (@p98) :args (@t99)) % 10.70/10.98 (step @p100 :rule eq_resolve :premises (@p38 @p99)) % 10.70/10.98 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t226))) % 10.70/10.98 (step @p102 :rule aci_norm :args ((= (or @t222 @t221 @t220 @t219 false @t218 @t217 @t215 @t214) @t223))) % 10.70/10.98 (step @p103 :rule eq-symm :args (@t204 tptp.nil)) % 10.70/10.98 (step @p104 :rule cong :premises (@p103) :args (@t227)) % 10.70/10.98 (step @p105 :rule refl :args (@t206)) % 10.70/10.98 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t228)) % 10.70/10.98 (step @p107 :rule refl :args (@t213)) % 10.70/10.98 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t229)) % 10.70/10.98 (step @p109 :rule refl :args (@t215)) % 10.70/10.98 (step @p110 :rule refl :args (@t217)) % 10.70/10.98 (step @p111 :rule refl :args (@t218)) % 10.70/10.98 (step @p112 :rule evaluate :args ((not true))) % 10.70/10.98 (step @p113 :rule eq-refl :args (@t204)) % 10.70/10.98 (step @p114 :rule cong :premises (@p113) :args (@t230)) % 10.70/10.98 (step @p115 :rule trans :premises (@p114 @p112)) % 10.70/10.98 (step @p116 :rule refl :args (@t219)) % 10.70/10.98 (step @p117 :rule refl :args (@t220)) % 10.70/10.98 (step @p118 :rule refl :args (@t221)) % 10.70/10.98 (step @p119 :rule refl :args (@t222)) % 10.70/10.98 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115 @p111 @p110 @p109 @p108) :args (@t231)) % 10.70/10.98 (step @p121 :rule trans :premises (@p120 @p102)) % 10.70/10.98 (step @p122 :rule cong :premises (@p121) :args ((forall @t224 @t231))) % 10.70/10.98 (step @p123 :rule quant-var-elim-eq :args ((= (forall @t9 @t238) @t231))) % 10.70/10.98 (step @p124 :rule aci_norm :args ((= @t239 @t238))) % 10.70/10.98 (step @p125 :rule cong :premises (@p124) :args (@t240)) % 10.70/10.98 (step @p126 :rule trans :premises (@p125 @p123)) % 10.70/10.98 (step @p127 :rule cong :premises (@p126) :args (@t241)) % 10.70/10.98 (step @p128 :rule quant-merge-prenex :args ((= @t241 @t242))) % 10.70/10.98 (step @p129 :rule symm :premises (@p128)) % 10.70/10.98 (step @p130 :rule quant_var_reordering :args ((= (forall @t243 @t239) @t242))) % 10.70/10.98 (step @p131 :rule trans :premises (@p130 @p129 @p127)) % 10.70/10.98 (step @p132 :rule trans :premises (@p131 @p122)) % 10.70/10.98 (step @p133 :rule refl :args (@t233)) % 10.70/10.98 (step @p134 :rule eq-symm :args (@t205 tptp.nil)) % 10.70/10.98 (step @p135 :rule cong :premises (@p134) :args (@t244)) % 10.70/10.98 (step @p136 :rule nary_cong :premises (@p135 @p133) :args (@t245)) % 10.70/10.98 (step @p137 :rule refl :args (@t234)) % 10.70/10.98 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t246)) % 10.70/10.98 (step @p139 :rule refl :args (@t236)) % 10.70/10.98 (step @p140 :rule refl :args (@t237)) % 10.70/10.98 (step @p141 :rule nary_cong :premises (@p140 @p118 @p117 @p116 @p139 @p111 @p110 @p109 @p138) :args (@t247)) % 10.70/10.98 (step @p142 :rule aci_norm :args ((= @t250 @t247))) % 10.70/10.98 (step @p143 :rule trans :premises (@p142 @p141)) % 10.70/10.98 (step @p144 :rule cong :premises (@p143) :args (@t251)) % 10.70/10.98 (step @p145 :rule trans :premises (@p144 @p132)) % 10.70/10.98 (step @p146 :rule quant-merge-prenex :args ((= (forall @t9 @t252) @t251))) % 10.70/10.98 (step @p147 :rule alpha_equiv :args (@t253 (@list @t205 @t207) (@list @t1 @t254))) % 10.70/10.98 (step @p148 :rule alpha_equiv :args (@t255 (@list @t202 @t203 @t201 @t216) (@list @t35 @t258 @t257 @t256))) % 10.70/10.98 (step @p149 :rule refl :args (@t237)) % 10.70/10.98 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147) :args (@t259)) % 10.70/10.98 (step @p151 :rule quant-miniscope-or :args ((= @t252 @t259))) % 10.70/10.98 (step @p152 :rule trans :premises (@p151 @p150)) % 10.70/10.98 (step @p153 :rule symm :premises (@p152)) % 10.70/10.98 (step @p154 :rule cong :premises (@p153) :args ((forall @t9 @t278))) % 10.70/10.98 (step @p155 :rule trans :premises (@p154 @p146)) % 10.70/10.98 (step @p156 :rule trans :premises (@p155 @p145)) % 10.70/10.98 (step @p157 :rule aci_norm :args ((= (or @t237 @t279) @t278))) % 10.70/10.98 (step @p158 :rule bool-impl-elim :args (@t17 @t279)) % 10.70/10.98 (step @p159 :rule trans :premises (@p158 @p157)) % 10.70/10.98 (step @p160 :rule cong :premises (@p159) :args ((forall @t9 (=> @t17 @t279)))) % 10.70/10.98 (step @p161 :rule trans :premises (@p160 @p156)) % 10.70/10.98 (step @p162 :rule quant-merge-prenex :args ((= (forall @t7 @t281) @t268))) % 10.70/10.98 (step @p163 :rule quant-unused-vars :args ((= @t282 @t262))) % 10.70/10.98 (step @p164 :rule alpha_equiv :args (@t283 (@list @t254) @t285)) % 10.70/10.98 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t286)) % 10.70/10.98 (step @p166 :rule quant-miniscope-and :args ((= @t287 @t286))) % 10.70/10.98 (step @p167 :rule trans :premises (@p166 @p165)) % 10.70/10.98 (step @p168 :rule refl :args (@t266)) % 10.70/10.98 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t288)) % 10.70/10.98 (step @p170 :rule quant-miniscope-or :args ((= @t281 @t288))) % 10.70/10.98 (step @p171 :rule trans :premises (@p170 @p169)) % 10.70/10.98 (step @p172 :rule symm :premises (@p171)) % 10.70/10.98 (step @p173 :rule cong :premises (@p172) :args (@t291)) % 10.70/10.98 (step @p174 :rule trans :premises (@p173 @p162)) % 10.70/10.98 (step @p175 :rule refl :args (@t277)) % 10.70/10.98 (step @p176 :rule nary_cong :premises (@p175 @p140 @p174) :args (@t292)) % 10.70/10.98 (step @p177 :rule quant-miniscope-or :args ((= (forall @t7 @t293) @t292))) % 10.70/10.98 (step @p178 :rule aci_norm :args ((= @t294 @t293))) % 10.70/10.98 (step @p179 :rule cong :premises (@p178) :args ((forall @t7 @t294))) % 10.70/10.98 (step @p180 :rule trans :premises (@p179 @p177)) % 10.70/10.98 (step @p181 :rule trans :premises (@p180 @p176)) % 10.70/10.98 (step @p182 :rule aci_norm :args ((= (or @t266 @t295) @t294))) % 10.70/10.98 (step @p183 :rule bool-impl-elim :args (@t21 @t295)) % 10.70/10.98 (step @p184 :rule trans :premises (@p183 @p182)) % 10.70/10.98 (step @p185 :rule cong :premises (@p184) :args ((forall @t7 (=> @t21 @t295)))) % 10.70/10.98 (step @p186 :rule trans :premises (@p185 @p181)) % 10.70/10.98 (step @p187 :rule aci_norm :args ((= (or @t277 @t266 (or @t237 @t289)) @t295))) % 10.70/10.98 (step @p188 :rule quant-unused-vars :args ((= @t298 @t262))) % 10.70/10.98 (step @p189 :rule alpha_equiv :args (@t304 @t305 @t285)) % 10.70/10.98 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t306)) % 10.70/10.98 (step @p191 :rule quant-miniscope-and :args ((= @t308 @t306))) % 10.70/10.98 (step @p192 :rule trans :premises (@p191 @p190)) % 10.70/10.98 (step @p193 :rule nary_cong :premises (@p140 @p192) :args (@t309)) % 10.70/10.98 (step @p194 :rule quant-miniscope-or :args ((= (forall @t297 @t310) @t309))) % 10.70/10.98 (step @p195 :rule trans :premises (@p194 @p193)) % 10.70/10.98 (step @p196 :rule aci_norm :args ((= (or @t237 false @t307) @t310))) % 10.70/10.98 (step @p197 :rule refl :args (@t307)) % 10.70/10.98 (step @p198 :rule eq-refl :args (@t2)) % 10.70/10.98 (step @p199 :rule cong :premises (@p198) :args (@t311)) % 10.70/10.98 (step @p200 :rule trans :premises (@p199 @p112)) % 10.70/10.98 (step @p201 :rule nary_cong :premises (@p140 @p200 @p197) :args (@t312)) % 10.70/10.98 (step @p202 :rule trans :premises (@p201 @p196)) % 10.70/10.98 (step @p203 :rule cong :premises (@p202) :args ((forall @t297 @t312))) % 10.70/10.98 (step @p204 :rule trans :premises (@p203 @p195)) % 10.70/10.98 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t120) @t317 @t189 @t316)) @t312))) % 10.70/10.98 (step @p206 :rule refl :args (@t316)) % 10.70/10.98 (step @p207 :rule refl :args (@t189)) % 10.70/10.98 (step @p208 :rule refl :args (@t317)) % 10.70/10.98 (step @p209 :rule eq-symm :args (@t2 @t12)) % 10.70/10.98 (step @p210 :rule cong :premises (@p209) :args (@t189)) % 10.70/10.98 (step @p211 :rule nary_cong :premises (@p210 @p208 @p207 @p206) :args (@t318)) % 10.70/10.98 (step @p212 :rule aci_norm :args ((= @t319 @t318))) % 10.70/10.98 (step @p213 :rule trans :premises (@p212 @p211)) % 10.70/10.98 (step @p214 :rule cong :premises (@p213) :args (@t320)) % 10.70/10.98 (step @p215 :rule trans :premises (@p214 @p205)) % 10.70/10.98 (step @p216 :rule cong :premises (@p215) :args (@t321)) % 10.70/10.98 (step @p217 :rule quant-merge-prenex :args ((= @t321 @t322))) % 10.70/10.98 (step @p218 :rule symm :premises (@p217)) % 10.70/10.98 (step @p219 :rule quant_var_reordering :args ((= @t323 @t322))) % 10.70/10.98 (step @p220 :rule trans :premises (@p219 @p218 @p216)) % 10.70/10.98 (step @p221 :rule trans :premises (@p220 @p204)) % 10.70/10.98 (step @p222 :rule quant-merge-prenex :args ((= (forall @t16 @t324) @t323))) % 10.70/10.98 (step @p223 :rule quant-unused-vars :args ((= @t325 @t314))) % 10.70/10.98 (step @p224 :rule alpha_equiv :args (@t326 @t305 @t328)) % 10.70/10.98 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t329)) % 10.70/10.98 (step @p226 :rule quant-miniscope-and :args ((= @t330 @t329))) % 10.70/10.98 (step @p227 :rule trans :premises (@p226 @p225)) % 10.70/10.98 (step @p228 :rule nary_cong :premises (@p208 @p207 @p227) :args (@t331)) % 10.70/10.98 (step @p229 :rule quant-miniscope-or :args ((= @t324 @t331))) % 10.70/10.98 (step @p230 :rule trans :premises (@p229 @p228)) % 10.70/10.98 (step @p231 :rule symm :premises (@p230)) % 10.70/10.98 (step @p232 :rule cong :premises (@p231) :args (@t334)) % 10.70/10.98 (step @p233 :rule trans :premises (@p232 @p222)) % 10.70/10.98 (step @p234 :rule trans :premises (@p233 @p221)) % 10.70/10.98 (step @p235 :rule refl :args (@t266)) % 10.70/10.98 (step @p236 :rule nary_cong :premises (@p175 @p235 @p234) :args (@t335)) % 10.70/10.98 (step @p237 :rule trans :premises (@p236 @p187)) % 10.70/10.98 (step @p238 :rule quant-miniscope-or :args ((= (forall @t16 @t336) @t335))) % 10.70/10.98 (step @p239 :rule aci_norm :args ((= @t337 @t336))) % 10.70/10.98 (step @p240 :rule cong :premises (@p239) :args ((forall @t16 @t337))) % 10.70/10.98 (step @p241 :rule trans :premises (@p240 @p238)) % 10.70/10.98 (step @p242 :rule trans :premises (@p241 @p237)) % 10.70/10.98 (step @p243 :rule aci_norm :args ((= (or @t317 @t338) @t337))) % 10.70/10.98 (step @p244 :rule bool-impl-elim :args (@t15 @t338)) % 10.70/10.98 (step @p245 :rule trans :premises (@p244 @p243)) % 10.70/10.98 (step @p246 :rule cong :premises (@p245) :args ((forall @t16 (=> @t15 @t338)))) % 10.70/10.98 (step @p247 :rule trans :premises (@p246 @p242)) % 10.70/10.98 (step @p248 :rule aci_norm :args ((= (or @t189 @t277 (or @t266 @t332)) @t338))) % 10.70/10.98 (step @p249 :rule quant-unused-vars :args ((= @t341 @t314))) % 10.70/10.98 (step @p250 :rule alpha_equiv :args (@t347 @t348 @t328)) % 10.70/10.98 (step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t349)) % 10.70/10.98 (step @p252 :rule quant-miniscope-and :args ((= @t351 @t349))) % 10.70/10.98 (step @p253 :rule trans :premises (@p252 @p251)) % 10.70/10.98 (step @p254 :rule nary_cong :premises (@p235 @p253) :args (@t352)) % 10.70/10.98 (step @p255 :rule quant-miniscope-or :args ((= (forall @t340 @t353) @t352))) % 10.70/10.98 (step @p256 :rule trans :premises (@p255 @p254)) % 10.70/10.98 (step @p257 :rule aci_norm :args ((= (or @t266 false @t350) @t353))) % 10.70/10.98 (step @p258 :rule refl :args (@t350)) % 10.70/10.98 (step @p259 :rule eq-refl :args (@t1)) % 10.70/10.98 (step @p260 :rule cong :premises (@p259) :args (@t354)) % 10.70/10.98 (step @p261 :rule trans :premises (@p260 @p112)) % 10.70/10.98 (step @p262 :rule nary_cong :premises (@p235 @p261 @p258) :args 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% 10.70/10.98 (step-pop @p1449 :rule scope :premises (@p1339)) % 10.70/10.98 (step-pop @p1450 :rule scope :premises (@p1449)) % 10.70/10.98 (step-pop @p1451 :rule scope :premises (@p1450)) % 10.70/10.98 (step-pop @p1452 :rule scope :premises (@p1451)) % 10.70/10.98 (step-pop @p1453 :rule scope :premises (@p1452)) % 10.70/10.98 (step-pop @p1454 :rule scope :premises (@p1453)) % 10.70/10.98 (step-pop @p1455 :rule scope :premises (@p1454)) % 10.70/10.98 (step-pop @p1456 :rule scope :premises (@p1455)) % 10.70/10.98 (step-pop @p1457 :rule scope :premises (@p1456)) % 10.70/10.98 (step-pop @p1458 :rule scope :premises (@p1457)) % 10.70/10.98 (step-pop @p1459 :rule scope :premises (@p1458)) % 10.70/10.98 (step @p1340 :rule process_scope :premises (@p1459) :args (@t717)) % 10.70/10.98 (step @p1352 :rule and_intro :premises (@p1121 @p1177 @p1194 @p1302 @p1037 @p1432 @p1431 @p1437 @p1078 @p772 @p765)) % 10.70/10.98 (step @p1353 :rule modus_ponens :premises (@p1352 @p1340)) % 10.70/10.98 (step-pop @p1460 :rule scope :premises (@p1353)) % 10.70/10.98 (step-pop @p1461 :rule scope :premises (@p1460)) % 10.70/10.98 (step-pop @p1462 :rule scope :premises (@p1461)) % 10.70/10.98 (step-pop @p1463 :rule scope :premises (@p1462)) % 10.70/10.98 (step-pop @p1464 :rule scope :premises (@p1463)) % 10.70/10.98 (step-pop @p1465 :rule scope :premises (@p1464)) % 10.70/10.98 (step-pop @p1466 :rule scope :premises (@p1465)) % 10.70/10.98 (step-pop @p1467 :rule scope :premises (@p1466)) % 10.70/10.98 (step-pop @p1468 :rule scope :premises (@p1467)) % 10.70/10.98 (step-pop @p1469 :rule scope :premises (@p1468)) % 10.70/10.98 (step-pop @p1470 :rule scope :premises (@p1469)) % 0.35/11.03 (step @p1354 :rule process_scope :premises (@p1470) :args (@t717)) % 0.35/11.03 (step @p1366 :rule implies_elim :premises (@p1354)) % 0.35/11.03 (step @p1367 :rule cnf_and_neg :args (@t878)) % 0.35/11.03 (step @p1368 :rule resolution :premises (@p1367 @p1366) :args (true @t878)) % 0.35/11.03 (step @p1369 :rule reordering :premises (@p1368) :args ((or @t453 (not @t627) (not @t747) (not @t775) @t705 (not @t723) @t789 @t823 @t717 (not @t837) (not @t830) (not @t697)))) % 0.35/11.03 (step @p1370 :rule chain_m_resolution :premises (@p1369 @p1302 @p1194 @p1177 @p1121 @p765 @p772 @p1078 @p1037 @p1013 @p1011 @p987 @p985 @p984 @p982 @p921 @p968 @p963 @p958 @p952 @p934 @p932 @p921 @p619 @p917 @p915 @p619) :args (@t546 (@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 @t837 @t830 @t822 @t788 @t627 @t452 @t775 @t747 @t717 @t720 @t723 @t724 @t721 @t722 @t692 @t704 @t706 @t708 @t710 @t697 @t700 @t692 @t468 @t686 @t688 @t468))) % 0.35/11.03 (step @p1371 :rule bool-double-not-elim :args (@t475)) % 0.35/11.03 (step @p1372 :rule refl :args (@t879)) % 0.35/11.03 (step @p1373 :rule refl :args (@t462)) % 0.35/11.03 (step @p1374 :rule nary_cong :premises (@p1373 @p1372 @p1371) :args ((or @t462 @t879 (not @t476)))) % 0.35/11.03 (assume-push @p1471 @t476) % 0.35/11.03 (assume-push @p1472 @t546) % 0.35/11.03 (assume-push @p1473 @t461) % 0.35/11.03 (step @p1378 :rule evaluate :args ((= true false))) % 0.35/11.03 (step @p1379 :rule symm :premises (@p1472)) % 0.35/11.03 (step @p1380 :rule cong :premises (@p1379 @p696) :args (@t461)) % 0.35/11.03 (step @p1381 :rule true_intro :premises (@p857)) % 0.35/11.03 (step @p1382 :rule symm :premises (@p1381)) % 0.35/11.03 (step @p1383 :rule trans :premises (@p1382 @p1380 @p695)) % 0.35/11.03 (step @p1384 false :rule eq_resolve :premises (@p1383 @p1378)) % 0.35/11.03 (step-pop @p1474 :rule scope :premises (@p1384)) % 0.35/11.03 (step-pop @p1475 :rule scope :premises (@p1474)) % 0.35/11.03 (step-pop @p1476 :rule scope :premises (@p1475)) % 0.35/11.03 (step @p1385 :rule process_scope :premises (@p1476) :args (false)) % 0.35/11.03 (assume-push @p1477 @t461) % 0.35/11.03 (assume-push @p1478 @t546) % 0.35/11.03 (assume-push @p1479 @t476) % 0.35/11.03 (step @p1392 :rule and_intro :premises (@p459 @p1478 @p857)) % 0.35/11.03 (step-pop @p1480 :rule scope :premises (@p1392)) % 0.35/11.03 (step-pop @p1481 :rule scope :premises (@p1480)) % 0.35/11.03 (step-pop @p1482 :rule scope :premises (@p1481)) % 0.35/11.03 (step @p1393 :rule process_scope :premises (@p1482) :args (@t880)) % 0.35/11.03 (step @p1397 :rule implies_elim :premises (@p1393)) % 0.35/11.03 (step @p1398 :rule resolution :premises (@p1397 @p1385) :args (true @t880)) % 0.35/11.03 (step @p1399 :rule not_and :premises (@p1398)) % 0.35/11.03 (step @p1400 :rule eq_resolve :premises (@p1399 @p1374)) % 0.35/11.03 (step @p1401 :rule reordering :premises (@p1400) :args ((or @t462 @t475 @t879))) % 0.35/11.03 (step @p1402 false :rule chain_m_resolution :premises (@p1401 @p1370 @p857 @p459) :args (false (@list false false true) (@list @t546 @t461 @t475))) % 0.35/11.03 ) % 0.35/11.03 % SZS output end Proof % 0.35/11.03 % cvc5 exiting %------------------------------------------------------------------------------