%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC191+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 : n005.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 08:58:24 AM UTC 2026 % Result : Theorem 244.52s 244.74s % Output : Proof 244.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC191+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 19:22:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 244.52/244.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 244.52/244.74 --- Run --no-e-matching --full-saturate-quant at 6... % 244.52/244.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 244.52/244.74 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 244.52/244.74 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 244.52/244.74 --- Run --trigger-sel=max --full-saturate-quant at 15... % 244.52/244.74 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 244.52/244.74 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 244.52/244.74 --- Run --prenex-quant=none --full-saturate-quant at 30... % 244.52/244.74 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 244.52/244.74 --- Run --relevant-triggers --full-saturate-quant at 30... % 244.52/244.74 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 244.52/244.74 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 244.52/244.74 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 244.52/244.74 % SZS status Theorem % 244.52/244.74 % SZS output start Proof % 244.52/244.74 ( % 244.52/244.74 (declare-sort $$unsorted 0) % 244.52/244.74 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 244.52/244.74 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 244.52/244.74 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 244.52/244.74 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 244.52/244.74 (declare-const tptp.nil $$unsorted) % 244.52/244.74 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.ssList (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 244.52/244.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 244.52/244.74 (define @t1 () (@var "V" $$unsorted)) % 244.52/244.74 (define @t2 () (@var "U" $$unsorted)) % 244.52/244.74 (define @t3 () (= @t2 @t1)) % 244.52/244.74 (define @t4 () (not @t3)) % 244.52/244.74 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 244.52/244.74 (define @t6 () (tptp.ssItem @t1)) % 244.52/244.74 (define @t7 () (@list @t1)) % 244.52/244.74 (define @t8 () (tptp.ssItem @t2)) % 244.52/244.74 (define @t9 () (@list @t2)) % 244.52/244.74 (define @t10 () (@var "X" $$unsorted)) % 244.52/244.74 (define @t11 () (tptp.cons @t1 @t10)) % 244.52/244.74 (define @t12 () (@var "W" $$unsorted)) % 244.52/244.74 (define @t13 () (tptp.ssList @t10)) % 244.52/244.74 (define @t14 () (@list @t10)) % 244.52/244.74 (define @t15 () (tptp.ssList @t12)) % 244.52/244.74 (define @t16 () (@list @t12)) % 244.52/244.74 (define @t17 () (tptp.ssList @t2)) % 244.52/244.74 (define @t18 () (tptp.cons @t1 tptp.nil)) % 244.52/244.74 (define @t19 () (tptp.app @t1 @t12)) % 244.52/244.74 (define @t20 () (tptp.frontsegP @t2 @t1)) % 244.52/244.74 (define @t21 () (tptp.ssList @t1)) % 244.52/244.74 (define @t22 () (tptp.app @t12 @t1)) % 244.52/244.74 (define @t23 () (tptp.rearsegP @t2 @t1)) % 244.52/244.74 (define @t24 () (tptp.segmentP @t2 @t1)) % 244.52/244.74 (define @t25 () (tptp.leq @t12 @t1)) % 244.52/244.74 (define @t26 () (tptp.leq @t1 @t12)) % 244.52/244.74 (define @t27 () (@var "Z" $$unsorted)) % 244.52/244.74 (define @t28 () (@var "Y" $$unsorted)) % 244.52/244.74 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 244.52/244.74 (define @t30 () (tptp.ssList @t27)) % 244.52/244.74 (define @t31 () (@list @t27)) % 244.52/244.74 (define @t32 () (tptp.ssList @t28)) % 244.52/244.74 (define @t33 () (@list @t28)) % 244.52/244.74 (define @t34 () (tptp.ssItem @t12)) % 244.52/244.74 (define @t35 () (tptp.lt @t1 @t12)) % 244.52/244.74 (define @t36 () (= @t1 @t12)) % 244.52/244.74 (define @t37 () (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28)))) % 244.52/244.74 (define @t38 () (=> (= @t37 @t2) @t36)) % 244.52/244.74 (define @t39 () (=> @t32 @t38)) % 244.52/244.74 (define @t40 () (forall @t33 @t39)) % 244.52/244.74 (define @t41 () (=> @t13 @t40)) % 244.52/244.74 (define @t42 () (forall @t14 @t41)) % 244.52/244.74 (define @t43 () (=> @t34 @t42)) % 244.52/244.74 (define @t44 () (forall @t16 @t43)) % 244.52/244.74 (define @t45 () (=> @t6 @t44)) % 244.52/244.74 (define @t46 () (forall @t7 @t45)) % 244.52/244.74 (define @t47 () (tptp.equalelemsP @t2)) % 244.52/244.74 (define @t48 () (= @t47 @t46)) % 244.52/244.74 (define @t49 () (=> @t17 @t48)) % 244.52/244.74 (define @t50 () (forall @t9 @t49)) % 244.52/244.74 (define @t51 () (tptp.cons @t1 @t2)) % 244.52/244.74 (define @t52 () (tptp.ssList @t51)) % 244.52/244.74 (define @t53 () (forall @t7 (=> @t6 @t52))) % 244.52/244.74 (define @t54 () (=> @t17 @t53)) % 244.52/244.74 (define @t55 () (forall @t9 @t54)) % 244.52/244.74 (define @t56 () (tptp.ssList tptp.nil)) % 244.52/244.74 (define @t57 () (not (= @t51 @t2))) % 244.52/244.74 (define @t58 () (=> @t6 @t57)) % 244.52/244.74 (define @t59 () (forall @t7 @t58)) % 244.52/244.74 (define @t60 () (=> @t17 @t59)) % 244.52/244.74 (define @t61 () (forall @t9 @t60)) % 244.52/244.74 (define @t62 () (= @t1 @t2)) % 244.52/244.74 (define @t63 () (tptp.cons @t12 @t1)) % 244.52/244.74 (define @t64 () (= tptp.nil @t2)) % 244.52/244.74 (define @t65 () (tptp.hd @t2)) % 244.52/244.74 (define @t66 () (not @t64)) % 244.52/244.74 (define @t67 () (tptp.hd @t51)) % 244.52/244.74 (define @t68 () (=> @t6 (= @t67 @t1))) % 244.52/244.74 (define @t69 () (forall @t7 @t68)) % 244.52/244.74 (define @t70 () (=> @t17 @t69)) % 244.52/244.74 (define @t71 () (forall @t9 @t70)) % 244.52/244.74 (define @t72 () (tptp.tl @t2)) % 244.52/244.74 (define @t73 () (tptp.tl @t51)) % 244.52/244.74 (define @t74 () (=> @t6 (= @t73 @t2))) % 244.52/244.74 (define @t75 () (forall @t7 @t74)) % 244.52/244.74 (define @t76 () (=> @t17 @t75)) % 244.52/244.74 (define @t77 () (forall @t9 @t76)) % 244.52/244.74 (define @t78 () (tptp.app @t2 @t1)) % 244.52/244.74 (define @t79 () (tptp.ssList @t78)) % 244.52/244.74 (define @t80 () (forall @t7 (=> @t21 @t79))) % 244.52/244.74 (define @t81 () (=> @t17 @t80)) % 244.52/244.74 (define @t82 () (forall @t9 @t81)) % 244.52/244.74 (define @t83 () (tptp.app @t1 @t2)) % 244.52/244.74 (define @t84 () (= (tptp.cons @t12 @t83) (tptp.app @t63 @t2))) % 244.52/244.74 (define @t85 () (forall @t16 (=> @t34 @t84))) % 244.52/244.74 (define @t86 () (=> @t21 @t85)) % 244.52/244.74 (define @t87 () (forall @t7 @t86)) % 244.52/244.74 (define @t88 () (=> @t17 @t87)) % 244.52/244.74 (define @t89 () (forall @t9 @t88)) % 244.52/244.74 (define @t90 () (tptp.app tptp.nil @t2)) % 244.52/244.74 (define @t91 () (=> @t17 (= @t90 @t2))) % 244.52/244.74 (define @t92 () (forall @t9 @t91)) % 244.52/244.74 (define @t93 () (tptp.leq @t1 @t2)) % 244.52/244.74 (define @t94 () (tptp.leq @t2 @t1)) % 244.52/244.74 (define @t95 () (tptp.geq @t2 @t1)) % 244.52/244.74 (define @t96 () (tptp.lt @t1 @t2)) % 244.52/244.74 (define @t97 () (tptp.lt @t2 @t1)) % 244.52/244.74 (define @t98 () (tptp.lt @t2 @t12)) % 244.52/244.74 (define @t99 () (tptp.gt @t2 @t1)) % 244.52/244.74 (define @t100 () (tptp.memberP @t12 @t2)) % 244.52/244.74 (define @t101 () (tptp.frontsegP @t1 @t12)) % 244.52/244.74 (define @t102 () (tptp.frontsegP @t1 @t2)) % 244.52/244.74 (define @t103 () (tptp.app @t12 @t2)) % 244.52/244.74 (define @t104 () (tptp.cons @t2 tptp.nil)) % 244.52/244.74 (define @t105 () (tptp.hd @t1)) % 244.52/244.74 (define @t106 () (= tptp.nil @t1)) % 244.52/244.74 (define @t107 () (not @t106)) % 244.52/244.74 (define @t108 () (tptp.cons @t2 @t1)) % 244.52/244.74 (define @t109 () (= @t12 @t2)) % 244.52/244.74 (define @t110 () (= (tptp.app @t78 @t12) (tptp.app @t2 @t19))) % 244.52/244.74 (define @t111 () (forall @t16 (=> @t15 @t110))) % 244.52/244.74 (define @t112 () (=> @t21 @t111)) % 244.52/244.74 (define @t113 () (forall @t7 @t112)) % 244.52/244.74 (define @t114 () (=> @t17 @t113)) % 244.52/244.74 (define @t115 () (forall @t9 @t114)) % 244.52/244.74 (define @t116 () (tptp.hd @t78)) % 244.52/244.74 (define @t117 () (=> @t66 (= @t116 @t65))) % 244.52/244.74 (define @t118 () (=> @t21 @t117)) % 244.52/244.74 (define @t119 () (forall @t7 @t118)) % 244.52/244.74 (define @t120 () (=> @t17 @t119)) % 244.52/244.74 (define @t121 () (forall @t9 @t120)) % 244.52/244.74 (define @t122 () (= (tptp.tl @t78) (tptp.app @t72 @t1))) % 244.52/244.74 (define @t123 () (=> @t66 @t122)) % 244.52/244.74 (define @t124 () (=> @t21 @t123)) % 244.52/244.74 (define @t125 () (forall @t7 @t124)) % 244.52/244.74 (define @t126 () (=> @t17 @t125)) % 244.52/244.74 (define @t127 () (forall @t9 @t126)) % 244.52/244.74 (define @t128 () (@var "X1" $$unsorted)) % 244.52/244.74 (define @t129 () (= @t27 @t128)) % 244.52/244.74 (define @t130 () (@var "X3" $$unsorted)) % 244.52/244.74 (define @t131 () (tptp.cons @t128 tptp.nil)) % 244.52/244.74 (define @t132 () (tptp.cons @t27 tptp.nil)) % 244.52/244.74 (define @t133 () (@var "X2" $$unsorted)) % 244.52/244.74 (define @t134 () (tptp.app (tptp.app @t133 @t132) @t131)) % 244.52/244.74 (define @t135 () (tptp.app @t134 @t130)) % 244.52/244.74 (define @t136 () (not (= @t135 @t2))) % 244.52/244.74 (define @t137 () (or @t136 @t129)) % 244.52/244.74 (define @t138 () (tptp.ssList @t130)) % 244.52/244.74 (define @t139 () (=> @t138 @t137)) % 244.52/244.74 (define @t140 () (@list @t130)) % 244.52/244.74 (define @t141 () (forall @t140 @t139)) % 244.52/244.74 (define @t142 () (tptp.ssList @t133)) % 244.52/244.74 (define @t143 () (=> @t142 @t141)) % 244.52/244.74 (define @t144 () (@list @t133)) % 244.52/244.74 (define @t145 () (forall @t144 @t143)) % 244.52/244.74 (define @t146 () (tptp.ssItem @t128)) % 244.52/244.74 (define @t147 () (=> @t146 @t145)) % 244.52/244.74 (define @t148 () (@list @t128)) % 244.52/244.74 (define @t149 () (forall @t148 @t147)) % 244.52/244.74 (define @t150 () (tptp.ssItem @t27)) % 244.52/244.74 (define @t151 () (=> @t150 @t149)) % 244.52/244.74 (define @t152 () (forall @t31 @t151)) % 244.52/244.74 (define @t153 () (tptp.equalelemsP @t28)) % 244.52/244.74 (define @t154 () (tptp.segmentP @t28 @t12)) % 244.52/244.74 (define @t155 () (tptp.frontsegP @t10 @t28)) % 244.52/244.74 (define @t156 () (tptp.neq @t12 @t28)) % 244.52/244.74 (define @t157 () (and @t32 @t156 @t155 @t154 @t153)) % 244.52/244.74 (define @t158 () (exists @t33 @t157)) % 244.52/244.74 (define @t159 () (not (tptp.equalelemsP @t12))) % 244.52/244.74 (define @t160 () (not (tptp.frontsegP @t10 @t12))) % 244.52/244.74 (define @t161 () (not (= @t2 @t12))) % 244.52/244.74 (define @t162 () (not (= @t1 @t10))) % 244.52/244.74 (define @t163 () (or @t162 @t161 @t160 @t159 @t158 @t152)) % 244.52/244.74 (define @t164 () (=> @t13 @t163)) % 244.52/244.74 (define @t165 () (forall @t14 @t164)) % 244.52/244.74 (define @t166 () (=> @t15 @t165)) % 244.52/244.74 (define @t167 () (forall @t16 @t166)) % 244.52/244.74 (define @t168 () (=> @t21 @t167)) % 244.52/244.74 (define @t169 () (forall @t7 @t168)) % 244.52/244.74 (define @t170 () (=> @t17 @t169)) % 244.52/244.74 (define @t171 () (forall @t9 @t170)) % 244.52/244.74 (define @t172 () (not @t171)) % 244.52/244.74 (define @t173 () (not @t153)) % 244.52/244.74 (define @t174 () (@var "BOUND_VARIABLE_11101" $$unsorted)) % 244.52/244.74 (define @t175 () (@var "BOUND_VARIABLE_11097" $$unsorted)) % 244.52/244.74 (define @t176 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 244.52/244.74 (define @t177 () (@var "BOUND_VARIABLE_11099" $$unsorted)) % 244.52/244.74 (define @t178 () (tptp.app (tptp.app (tptp.app @t177 (tptp.cons @t176 tptp.nil)) (tptp.cons @t175 tptp.nil)) @t174)) % 244.52/244.74 (define @t179 () (@var "BOUND_VARIABLE_11120" $$unsorted)) % 244.52/244.74 (define @t180 () (not (tptp.frontsegP @t179 @t28))) % 244.52/244.74 (define @t181 () (not @t32)) % 244.52/244.74 (define @t182 () (not (forall @t33 (or @t181 (not (tptp.neq @t178 @t28)) @t180 (not (tptp.segmentP @t28 @t178)) @t173)))) % 244.52/244.74 (define @t183 () (not (tptp.frontsegP @t179 @t178))) % 244.52/244.74 (define @t184 () (not (tptp.ssList @t179))) % 244.52/244.74 (define @t185 () (not (tptp.ssList @t174))) % 244.52/244.74 (define @t186 () (not (tptp.ssList @t177))) % 244.52/244.74 (define @t187 () (= @t176 @t175)) % 244.52/244.74 (define @t188 () (not (tptp.ssItem @t175))) % 244.52/244.74 (define @t189 () (not (tptp.ssItem @t176))) % 244.52/244.74 (define @t190 () (not (tptp.equalelemsP @t178))) % 244.52/244.74 (define @t191 () (not (tptp.ssList @t178))) % 244.52/244.74 (define @t192 () (or @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t182)) % 244.52/244.74 (define @t193 () (not (= @t178 @t178))) % 244.52/244.74 (define @t194 () (or @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t193 @t184 @t183 @t182)) % 244.52/244.74 (define @t195 () (@list @t176 @t175 @t177 @t174 @t179)) % 244.52/244.74 (define @t196 () (not (tptp.segmentP @t28 @t2))) % 244.52/244.74 (define @t197 () (not (tptp.neq @t2 @t28))) % 244.52/244.74 (define @t198 () (not (forall @t33 (or @t181 @t197 @t180 @t196 @t173)))) % 244.52/244.74 (define @t199 () (not (tptp.frontsegP @t179 @t2))) % 244.52/244.74 (define @t200 () (not (= @t2 @t178))) % 244.52/244.74 (define @t201 () (not @t47)) % 244.52/244.74 (define @t202 () (not @t17)) % 244.52/244.74 (define @t203 () (or @t200 @t202 @t201 @t189 @t188 @t187 @t186 @t185 @t200 @t184 @t199 @t198)) % 244.52/244.74 (define @t204 () (or @t202 @t201 @t189 @t188 @t187 @t186 @t185 @t200 @t184 @t199 @t198)) % 244.52/244.74 (define @t205 () (forall @t9 @t204)) % 244.52/244.74 (define @t206 () (forall @t195 @t205)) % 244.52/244.74 (define @t207 () (forall (@list @t176 @t175 @t177 @t174 @t179 @t2) @t204)) % 244.52/244.74 (define @t208 () (@list @t2 @t176 @t175 @t177 @t174 @t179)) % 244.52/244.74 (define @t209 () (or @t184 @t199 @t198)) % 244.52/244.74 (define @t210 () (or @t189 @t188 @t187 @t186 @t185 @t200)) % 244.52/244.74 (define @t211 () (or @t202 @t210 @t201 @t209)) % 244.52/244.74 (define @t212 () (forall @t208 @t211)) % 244.52/244.74 (define @t213 () (forall @t195 @t211)) % 244.52/244.74 (define @t214 () (forall (@list @t179) @t209)) % 244.52/244.74 (define @t215 () (@list @t1)) % 244.52/244.74 (define @t216 () (forall (@list @t176 @t175 @t177 @t174) @t210)) % 244.52/244.74 (define @t217 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 244.52/244.74 (define @t218 () (@var "BOUND_VARIABLE_11021" $$unsorted)) % 244.52/244.74 (define @t219 () (@var "BOUND_VARIABLE_11019" $$unsorted)) % 244.52/244.74 (define @t220 () (or @t202 @t216 @t201 @t214)) % 244.52/244.74 (define @t221 () (not (tptp.frontsegP @t1 @t28))) % 244.52/244.74 (define @t222 () (not (forall @t33 (or @t181 @t197 @t221 @t196 @t173)))) % 244.52/244.74 (define @t223 () (not @t102)) % 244.52/244.74 (define @t224 () (not @t21)) % 244.52/244.74 (define @t225 () (or @t224 @t223 @t222)) % 244.52/244.74 (define @t226 () (forall @t7 @t225)) % 244.52/244.74 (define @t227 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t218 @t132) (tptp.cons @t219 tptp.nil)) @t217)))) % 244.52/244.74 (define @t228 () (not (tptp.ssList @t217))) % 244.52/244.74 (define @t229 () (not (tptp.ssList @t218))) % 244.52/244.74 (define @t230 () (= @t27 @t219)) % 244.52/244.74 (define @t231 () (not (tptp.ssItem @t219))) % 244.52/244.74 (define @t232 () (not @t150)) % 244.52/244.74 (define @t233 () (or @t232 @t231 @t230 @t229 @t228 @t227)) % 244.52/244.74 (define @t234 () (@list @t27 @t219 @t218 @t217)) % 244.52/244.74 (define @t235 () (forall @t234 @t233)) % 244.52/244.74 (define @t236 () (or @t202 @t235 @t201 @t226)) % 244.52/244.74 (define @t237 () (or @t235 @t202 @t201 @t226)) % 244.52/244.74 (define @t238 () (or @t235 @t202 @t201 @t225)) % 244.52/244.74 (define @t239 () (or @t224 @t235 @t202 @t201 @t223 @t222)) % 244.52/244.74 (define @t240 () (or @t235 @t224 @t202 @t201 @t223 @t222)) % 244.52/244.74 (define @t241 () (or @t202 @t201 @t223 @t222)) % 244.52/244.74 (define @t242 () (not (= @t2 @t2))) % 244.52/244.74 (define @t243 () (or @t202 @t242 @t201 @t223 @t222)) % 244.52/244.74 (define @t244 () (not @t154)) % 244.52/244.74 (define @t245 () (not @t156)) % 244.52/244.74 (define @t246 () (not (forall @t33 (or @t181 @t245 @t221 @t244 @t173)))) % 244.52/244.74 (define @t247 () (not @t101)) % 244.52/244.74 (define @t248 () (not @t15)) % 244.52/244.74 (define @t249 () (or @t161 @t248 @t161 @t159 @t247 @t246)) % 244.52/244.74 (define @t250 () (or @t248 @t161 @t159 @t247 @t246)) % 244.52/244.74 (define @t251 () (forall @t16 @t250)) % 244.52/244.74 (define @t252 () (or @t235 @t224 @t251)) % 244.52/244.74 (define @t253 () (or @t235 @t224 @t250)) % 244.52/244.74 (define @t254 () (or @t248 @t161 @t159 @t235 @t224 @t247 @t246)) % 244.52/244.74 (define @t255 () (or @t161 @t159 @t235 @t224 @t247 @t246)) % 244.52/244.74 (define @t256 () (or @t224 @t247 @t246)) % 244.52/244.74 (define @t257 () (not (= @t1 @t1))) % 244.52/244.74 (define @t258 () (or @t224 @t257 @t247 @t246)) % 244.52/244.74 (define @t259 () (not @t155)) % 244.52/244.74 (define @t260 () (or @t181 @t245 @t259 @t244 @t173)) % 244.52/244.74 (define @t261 () (not (forall @t33 @t260))) % 244.52/244.74 (define @t262 () (not @t13)) % 244.52/244.74 (define @t263 () (or @t162 @t262 @t162 @t160 @t261)) % 244.52/244.74 (define @t264 () (or @t262 @t162 @t160 @t261)) % 244.52/244.74 (define @t265 () (forall @t14 @t264)) % 244.52/244.74 (define @t266 () (or @t161 @t159 @t235 @t265)) % 244.52/244.74 (define @t267 () (or @t161 @t159 @t235 @t264)) % 244.52/244.74 (define @t268 () (or @t262 @t162 @t161 @t160 @t159 @t261 @t235)) % 244.52/244.74 (define @t269 () (or @t162 @t161 @t160 @t159 @t261 @t235)) % 244.52/244.74 (define @t270 () (or @t231 @t230 @t229 @t228 @t227)) % 244.52/244.74 (define @t271 () (or @t232 @t270)) % 244.52/244.74 (define @t272 () (forall @t234 @t271)) % 244.52/244.74 (define @t273 () (@list @t219 @t218 @t217)) % 244.52/244.74 (define @t274 () (forall @t273 @t271)) % 244.52/244.74 (define @t275 () (forall @t273 @t270)) % 244.52/244.74 (define @t276 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 244.52/244.74 (define @t277 () (@var "BOUND_VARIABLE_10995" $$unsorted)) % 244.52/244.74 (define @t278 () (or @t232 @t275)) % 244.52/244.74 (define @t279 () (not (= @t2 (tptp.app (tptp.app (tptp.app @t277 @t132) @t131) @t276)))) % 244.52/244.74 (define @t280 () (not (tptp.ssList @t276))) % 244.52/244.74 (define @t281 () (not (tptp.ssList @t277))) % 244.52/244.74 (define @t282 () (not @t146)) % 244.52/244.74 (define @t283 () (or @t282 @t129 @t281 @t280 @t279)) % 244.52/244.74 (define @t284 () (@list @t128 @t277 @t276)) % 244.52/244.74 (define @t285 () (forall @t284 @t283)) % 244.52/244.74 (define @t286 () (or @t281 @t280 @t279)) % 244.52/244.74 (define @t287 () (or @t282 @t129 @t286)) % 244.52/244.74 (define @t288 () (forall @t284 @t287)) % 244.52/244.74 (define @t289 () (@list @t277 @t276)) % 244.52/244.74 (define @t290 () (forall @t289 @t287)) % 244.52/244.74 (define @t291 () (forall @t289 @t286)) % 244.52/244.74 (define @t292 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 244.52/244.74 (define @t293 () (or @t282 @t129 @t291)) % 244.52/244.74 (define @t294 () (not (= @t2 (tptp.app @t134 @t292)))) % 244.52/244.74 (define @t295 () (not (tptp.ssList @t292))) % 244.52/244.74 (define @t296 () (not @t142)) % 244.52/244.74 (define @t297 () (or @t296 @t295 @t294)) % 244.52/244.74 (define @t298 () (@list @t133 @t292)) % 244.52/244.74 (define @t299 () (forall @t298 @t297)) % 244.52/244.74 (define @t300 () (or @t282 @t129 @t299)) % 244.52/244.74 (define @t301 () (or @t129 @t299)) % 244.52/244.74 (define @t302 () (or @t295 @t294)) % 244.52/244.74 (define @t303 () (or @t296 @t302)) % 244.52/244.74 (define @t304 () (forall @t298 @t303)) % 244.52/244.74 (define @t305 () (@list @t292)) % 244.52/244.74 (define @t306 () (forall @t305 @t303)) % 244.52/244.74 (define @t307 () (forall @t305 @t302)) % 244.52/244.74 (define @t308 () (or @t296 @t307)) % 244.52/244.74 (define @t309 () (not (= @t2 @t135))) % 244.52/244.74 (define @t310 () (not @t138)) % 244.52/244.74 (define @t311 () (or @t310 @t309)) % 244.52/244.74 (define @t312 () (forall @t140 @t311)) % 244.52/244.74 (define @t313 () (or @t296 @t312)) % 244.52/244.74 (define @t314 () (forall @t144 @t313)) % 244.52/244.74 (define @t315 () (or @t129 @t314)) % 244.52/244.74 (define @t316 () (or @t129 @t313)) % 244.52/244.74 (define @t317 () (or @t296 @t129 @t312)) % 244.52/244.74 (define @t318 () (or @t129 @t312)) % 244.52/244.74 (define @t319 () (or @t129 @t311)) % 244.52/244.74 (define @t320 () (or @t310 @t309 @t129)) % 244.52/244.74 (define @t321 () (or @t309 @t129)) % 244.52/244.74 (define @t322 () (forall @t33 (not @t157))) % 244.52/244.74 (define @t323 () (not @t322)) % 244.52/244.74 (define @t324 () (forall @t195 @t192)) % 244.52/244.74 (define @t325 () (@quantifiers_skolemize @t324 1)) % 244.52/244.74 (define @t326 () (tptp.ssItem @t325)) % 244.52/244.74 (define @t327 () (@quantifiers_skolemize @t324 3)) % 244.52/244.74 (define @t328 () (tptp.cons @t325 tptp.nil)) % 244.52/244.74 (define @t329 () (@quantifiers_skolemize @t324 0)) % 244.52/244.74 (define @t330 () (tptp.cons @t329 tptp.nil)) % 244.52/244.74 (define @t331 () (@quantifiers_skolemize @t324 2)) % 244.52/244.74 (define @t332 () (tptp.app @t331 @t330)) % 244.52/244.74 (define @t333 () (tptp.app @t332 @t328)) % 244.52/244.74 (define @t334 () (tptp.app @t333 @t327)) % 244.52/244.74 (define @t335 () (@quantifiers_skolemize @t324 4)) % 244.52/244.74 (define @t336 () (tptp.ssList @t327)) % 244.52/244.74 (define @t337 () (not @t336)) % 244.52/244.74 (define @t338 () (tptp.ssList @t331)) % 244.52/244.74 (define @t339 () (not @t338)) % 244.52/244.74 (define @t340 () (= @t329 @t325)) % 244.52/244.74 (define @t341 () (not @t326)) % 244.52/244.74 (define @t342 () (tptp.ssItem @t329)) % 244.52/244.74 (define @t343 () (not @t342)) % 244.52/244.74 (define @t344 () (tptp.equalelemsP @t334)) % 244.52/244.74 (define @t345 () (not @t344)) % 244.52/244.74 (define @t346 () (tptp.ssList @t334)) % 244.52/244.74 (define @t347 () (not @t346)) % 244.52/244.74 (define @t348 () (or @t347 @t345 @t343 @t341 @t340 @t339 @t337 (not (tptp.ssList @t335)) (not (tptp.frontsegP @t335 @t334)) (not (forall @t33 (or @t181 (not (tptp.neq @t334 @t28)) (not (tptp.frontsegP @t335 @t28)) (not (tptp.segmentP @t28 @t334)) @t173))))) % 244.52/244.74 (define @t349 () (@list true)) % 244.52/244.74 (define @t350 () (@list @t348)) % 244.52/244.74 (define @t351 () (@var "BOUND_VARIABLE_9339" $$unsorted)) % 244.52/244.74 (define @t352 () (= @t351 (tptp.hd (tptp.cons @t351 @t2)))) % 244.52/244.74 (define @t353 () (not (tptp.ssItem @t351))) % 244.52/244.74 (define @t354 () (or @t353 @t352)) % 244.52/244.74 (define @t355 () (or @t202 @t354)) % 244.52/244.74 (define @t356 () (forall (@list @t2 @t351) @t355)) % 244.52/244.74 (define @t357 () (@list @t351)) % 244.52/244.74 (define @t358 () (forall @t357 @t355)) % 244.52/244.74 (define @t359 () (forall @t357 @t354)) % 244.52/244.74 (define @t360 () (or @t202 @t359)) % 244.52/244.74 (define @t361 () (= @t1 @t67)) % 244.52/244.74 (define @t362 () (not @t6)) % 244.52/244.74 (define @t363 () (forall @t7 (or @t362 @t361))) % 244.52/244.74 (define @t364 () (@list tptp.nil @t329)) % 244.52/244.74 (define @t365 () (tptp.hd @t330)) % 244.52/244.74 (define @t366 () (= @t329 @t365)) % 244.52/244.74 (define @t367 () (not @t56)) % 244.52/244.74 (define @t368 () (or @t367 @t343 @t366)) % 244.52/244.74 (define @t369 () (@list false false false)) % 244.52/244.74 (define @t370 () (@var "BOUND_VARIABLE_10657" $$unsorted)) % 244.52/244.74 (define @t371 () (= @t65 (tptp.hd (tptp.app @t2 @t370)))) % 244.52/244.74 (define @t372 () (not (tptp.ssList @t370))) % 244.52/244.74 (define @t373 () (= @t2 tptp.nil)) % 244.52/244.74 (define @t374 () (or @t202 @t373 @t372 @t371)) % 244.52/244.74 (define @t375 () (or @t372 @t371)) % 244.52/244.74 (define @t376 () (or @t202 @t373 @t375)) % 244.52/244.74 (define @t377 () (@list @t2 @t370)) % 244.52/244.74 (define @t378 () (forall @t377 @t376)) % 244.52/244.74 (define @t379 () (@list @t370)) % 244.52/244.74 (define @t380 () (forall @t379 @t376)) % 244.52/244.74 (define @t381 () (forall @t379 @t375)) % 244.52/244.74 (define @t382 () (or @t202 @t373 @t381)) % 244.52/244.74 (define @t383 () (= @t65 @t116)) % 244.52/244.74 (define @t384 () (or @t224 @t383)) % 244.52/244.74 (define @t385 () (forall @t7 @t384)) % 244.52/244.74 (define @t386 () (or @t202 @t373 @t385)) % 244.52/244.74 (define @t387 () (or @t373 @t385)) % 244.52/244.74 (define @t388 () (or @t373 @t384)) % 244.52/244.74 (define @t389 () (or @t224 @t373 @t383)) % 244.52/244.74 (define @t390 () (not @t373)) % 244.52/244.74 (define @t391 () (not @t390)) % 244.52/244.74 (define @t392 () (=> @t390 @t383)) % 244.52/244.74 (define @t393 () (tptp.app @t328 @t327)) % 244.52/244.74 (define @t394 () (tptp.app @t330 @t393)) % 244.52/244.74 (define @t395 () (tptp.hd @t394)) % 244.52/244.74 (define @t396 () (= @t365 @t395)) % 244.52/244.74 (define @t397 () (tptp.ssList @t393)) % 244.52/244.74 (define @t398 () (not @t397)) % 244.52/244.74 (define @t399 () (tptp.ssList @t330)) % 244.52/244.74 (define @t400 () (not @t399)) % 244.52/244.74 (define @t401 () (= @t330 tptp.nil)) % 244.52/244.74 (define @t402 () (or @t400 @t401 @t398 @t396)) % 244.52/244.74 (define @t403 () (forall @t377 @t374)) % 244.52/244.74 (define @t404 () (@list @t330 @t393)) % 244.52/244.74 (define @t405 () (= tptp.nil @t330)) % 244.52/244.74 (define @t406 () (or @t400 @t405 @t398 @t396)) % 244.52/244.74 (define @t407 () (@list false)) % 244.52/244.74 (define @t408 () (@var "BOUND_VARIABLE_9145" $$unsorted)) % 244.52/244.74 (define @t409 () (tptp.ssList (tptp.cons @t408 @t2))) % 244.52/244.74 (define @t410 () (not (tptp.ssItem @t408))) % 244.52/244.74 (define @t411 () (or @t410 @t409)) % 244.52/244.74 (define @t412 () (or @t202 @t411)) % 244.52/244.74 (define @t413 () (forall (@list @t2 @t408) @t412)) % 244.52/244.74 (define @t414 () (@list @t408)) % 244.52/244.74 (define @t415 () (forall @t414 @t412)) % 244.52/244.74 (define @t416 () (forall @t414 @t411)) % 244.52/244.74 (define @t417 () (or @t202 @t416)) % 244.52/244.74 (define @t418 () (forall @t7 (or @t362 @t52))) % 244.52/244.74 (define @t419 () (tptp.cons @t325 @t327)) % 244.52/244.74 (define @t420 () (tptp.ssList @t419)) % 244.52/244.74 (define @t421 () (or @t337 @t341 @t420)) % 244.52/244.74 (define @t422 () (= @t2 @t90)) % 244.52/244.74 (define @t423 () (tptp.app tptp.nil @t327)) % 244.52/244.74 (define @t424 () (= @t327 @t423)) % 244.52/244.74 (define @t425 () (or @t337 @t424)) % 244.52/244.74 (define @t426 () (@list false false)) % 244.52/244.74 (define @t427 () (tptp.cons @t325 @t423)) % 244.52/244.74 (define @t428 () (@var "BOUND_VARIABLE_9426" $$unsorted)) % 244.52/244.74 (define @t429 () (@var "BOUND_VARIABLE_9428" $$unsorted)) % 244.52/244.74 (define @t430 () (= (tptp.cons @t429 (tptp.app @t428 @t2)) (tptp.app (tptp.cons @t429 @t428) @t2))) % 244.52/244.74 (define @t431 () (not (tptp.ssItem @t429))) % 244.52/244.74 (define @t432 () (not (tptp.ssList @t428))) % 244.52/244.74 (define @t433 () (or @t202 @t432 @t431 @t430)) % 244.52/244.74 (define @t434 () (or @t432 @t431 @t430)) % 244.52/244.74 (define @t435 () (or @t202 @t434)) % 244.52/244.74 (define @t436 () (@list @t2 @t428 @t429)) % 244.52/244.74 (define @t437 () (forall @t436 @t435)) % 244.52/244.74 (define @t438 () (@list @t428 @t429)) % 244.52/244.74 (define @t439 () (forall @t438 @t435)) % 244.52/244.74 (define @t440 () (forall @t438 @t434)) % 244.52/244.74 (define @t441 () (@var "BOUND_VARIABLE_9408" $$unsorted)) % 244.52/244.74 (define @t442 () (or @t202 @t440)) % 244.52/244.74 (define @t443 () (= (tptp.cons @t441 @t83) (tptp.app (tptp.cons @t441 @t1) @t2))) % 244.52/244.74 (define @t444 () (not (tptp.ssItem @t441))) % 244.52/244.74 (define @t445 () (or @t224 @t444 @t443)) % 244.52/244.74 (define @t446 () (@list @t1 @t441)) % 244.52/244.74 (define @t447 () (forall @t446 @t445)) % 244.52/244.74 (define @t448 () (or @t444 @t443)) % 244.52/244.74 (define @t449 () (or @t224 @t448)) % 244.52/244.74 (define @t450 () (forall @t446 @t449)) % 244.52/244.74 (define @t451 () (@list @t441)) % 244.52/244.74 (define @t452 () (forall @t451 @t449)) % 244.52/244.74 (define @t453 () (forall @t451 @t448)) % 244.52/244.74 (define @t454 () (@list @t12)) % 244.52/244.74 (define @t455 () (or @t224 @t453)) % 244.52/244.74 (define @t456 () (not @t34)) % 244.52/244.74 (define @t457 () (forall @t16 (or @t456 @t84))) % 244.52/244.74 (define @t458 () (or @t337 @t367 @t341 (= @t427 @t393))) % 244.52/244.74 (define @t459 () (forall @t436 @t433)) % 244.52/244.74 (define @t460 () (= @t393 @t427)) % 244.52/244.74 (define @t461 () (or @t337 @t367 @t341 @t460)) % 244.52/244.74 (define @t462 () (@list @t459)) % 244.52/244.74 (define @t463 () (@list false false false false)) % 244.52/244.74 (define @t464 () (or @t367 @t343 @t399)) % 244.52/244.74 (define @t465 () (@var "BOUND_VARIABLE_9168" $$unsorted)) % 244.52/244.74 (define @t466 () (not (= @t2 (tptp.cons @t465 @t2)))) % 244.52/244.74 (define @t467 () (not (tptp.ssItem @t465))) % 244.52/244.74 (define @t468 () (or @t467 @t466)) % 244.52/244.74 (define @t469 () (or @t202 @t468)) % 244.52/244.74 (define @t470 () (forall (@list @t2 @t465) @t469)) % 244.52/244.74 (define @t471 () (@list @t465)) % 244.52/244.74 (define @t472 () (forall @t471 @t469)) % 244.52/244.74 (define @t473 () (forall @t471 @t468)) % 244.52/244.74 (define @t474 () (or @t202 @t473)) % 244.52/244.74 (define @t475 () (not (= @t2 @t51))) % 244.52/244.74 (define @t476 () (forall @t7 (or @t362 @t475))) % 244.52/244.74 (define @t477 () (not @t405)) % 244.52/244.74 (define @t478 () (or @t367 @t343 @t477)) % 244.52/244.74 (define @t479 () (@list true false false false)) % 244.52/244.74 (define @t480 () (tptp.ssItem @t395)) % 244.52/244.74 (define @t481 () (@var "BOUND_VARIABLE_9092" $$unsorted)) % 244.52/244.74 (define @t482 () (@var "BOUND_VARIABLE_9088" $$unsorted)) % 244.52/244.74 (define @t483 () (@var "BOUND_VARIABLE_9090" $$unsorted)) % 244.52/244.74 (define @t484 () (tptp.app @t483 (tptp.cons @t1 (tptp.cons @t482 @t481)))) % 244.52/244.74 (define @t485 () (not (= @t2 @t484))) % 244.52/244.74 (define @t486 () (not (tptp.ssList @t481))) % 244.52/244.74 (define @t487 () (not (tptp.ssList @t483))) % 244.52/244.74 (define @t488 () (= @t1 @t482)) % 244.52/244.74 (define @t489 () (not (tptp.ssItem @t482))) % 244.52/244.74 (define @t490 () (or @t362 @t489 @t488 @t487 @t486 @t485)) % 244.52/244.74 (define @t491 () (@list @t1 @t482 @t483 @t481)) % 244.52/244.74 (define @t492 () (= @t47 (forall @t491 @t490))) % 244.52/244.74 (define @t493 () (or @t489 @t488 @t487 @t486 @t485)) % 244.52/244.74 (define @t494 () (or @t362 @t493)) % 244.52/244.74 (define @t495 () (forall @t491 @t494)) % 244.52/244.74 (define @t496 () (@list @t482 @t483 @t481)) % 244.52/244.74 (define @t497 () (forall @t496 @t494)) % 244.52/244.74 (define @t498 () (forall @t496 @t493)) % 244.52/244.74 (define @t499 () (@var "BOUND_VARIABLE_9067" $$unsorted)) % 244.52/244.74 (define @t500 () (@var "BOUND_VARIABLE_9065" $$unsorted)) % 244.52/244.74 (define @t501 () (or @t362 @t498)) % 244.52/244.74 (define @t502 () (not (= @t2 (tptp.app @t500 (tptp.cons @t1 (tptp.cons @t12 @t499)))))) % 244.52/244.74 (define @t503 () (not (tptp.ssList @t499))) % 244.52/244.74 (define @t504 () (not (tptp.ssList @t500))) % 244.52/244.74 (define @t505 () (or @t456 @t36 @t504 @t503 @t502)) % 244.52/244.74 (define @t506 () (@list @t12 @t500 @t499)) % 244.52/244.74 (define @t507 () (forall @t506 @t505)) % 244.52/244.74 (define @t508 () (or @t504 @t503 @t502)) % 244.52/244.74 (define @t509 () (or @t456 @t36 @t508)) % 244.52/244.74 (define @t510 () (forall @t506 @t509)) % 244.52/244.74 (define @t511 () (@list @t500 @t499)) % 244.52/244.74 (define @t512 () (forall @t511 @t509)) % 244.52/244.74 (define @t513 () (forall @t511 @t508)) % 244.52/244.74 (define @t514 () (@var "BOUND_VARIABLE_9045" $$unsorted)) % 244.52/244.74 (define @t515 () (or @t456 @t36 @t513)) % 244.52/244.74 (define @t516 () (not (= @t2 (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t514)))))) % 244.52/244.74 (define @t517 () (not (tptp.ssList @t514))) % 244.52/244.74 (define @t518 () (or @t262 @t517 @t516)) % 244.52/244.74 (define @t519 () (@list @t10 @t514)) % 244.52/244.74 (define @t520 () (forall @t519 @t518)) % 244.52/244.74 (define @t521 () (or @t456 @t36 @t520)) % 244.52/244.74 (define @t522 () (or @t36 @t520)) % 244.52/244.74 (define @t523 () (or @t517 @t516)) % 244.52/244.74 (define @t524 () (or @t262 @t523)) % 244.52/244.74 (define @t525 () (forall @t519 @t524)) % 244.52/244.74 (define @t526 () (@list @t514)) % 244.52/244.74 (define @t527 () (forall @t526 @t524)) % 244.52/244.74 (define @t528 () (forall @t526 @t523)) % 244.52/244.74 (define @t529 () (or @t262 @t528)) % 244.52/244.74 (define @t530 () (= @t2 @t37)) % 244.52/244.74 (define @t531 () (not @t530)) % 244.52/244.74 (define @t532 () (or @t181 @t531)) % 244.52/244.74 (define @t533 () (forall @t33 @t532)) % 244.52/244.74 (define @t534 () (or @t262 @t533)) % 244.52/244.74 (define @t535 () (forall @t14 @t534)) % 244.52/244.74 (define @t536 () (or @t36 @t535)) % 244.52/244.74 (define @t537 () (or @t36 @t534)) % 244.52/244.74 (define @t538 () (or @t262 @t36 @t533)) % 244.52/244.74 (define @t539 () (or @t36 @t533)) % 244.52/244.74 (define @t540 () (or @t36 @t532)) % 244.52/244.74 (define @t541 () (or @t181 @t531 @t36)) % 244.52/244.74 (define @t542 () (=> @t530 @t36)) % 244.52/244.74 (define @t543 () (tptp.app @t332 @t393)) % 244.52/244.74 (define @t544 () (not (= @t543 @t484))) % 244.52/244.74 (define @t545 () (or @t362 @t489 @t488 @t487 @t486 @t544)) % 244.52/244.74 (define @t546 () (forall @t491 @t545)) % 244.52/244.74 (define @t547 () (tptp.equalelemsP @t543)) % 244.52/244.74 (define @t548 () (= @t547 @t546)) % 244.52/244.74 (define @t549 () (tptp.ssList @t543)) % 244.52/244.74 (define @t550 () (not @t549)) % 244.52/244.74 (define @t551 () (or @t550 @t548)) % 244.52/244.74 (define @t552 () (forall @t9 (or @t202 @t492))) % 244.52/244.74 (define @t553 () (forall @t491 (or @t362 @t489 @t488 @t487 @t486 (not (= @t484 @t543))))) % 244.52/244.74 (define @t554 () (= @t547 @t553)) % 244.52/244.74 (define @t555 () (or @t550 @t554)) % 244.52/244.74 (define @t556 () (@var "BOUND_VARIABLE_10589" $$unsorted)) % 244.52/244.74 (define @t557 () (@var "BOUND_VARIABLE_10587" $$unsorted)) % 244.52/244.74 (define @t558 () (= (tptp.app (tptp.app @t2 @t557) @t556) (tptp.app @t2 (tptp.app @t557 @t556)))) % 244.52/244.74 (define @t559 () (not (tptp.ssList @t556))) % 244.52/244.74 (define @t560 () (not (tptp.ssList @t557))) % 244.52/244.74 (define @t561 () (or @t560 @t559 @t558)) % 244.52/244.74 (define @t562 () (or @t202 @t561)) % 244.52/244.74 (define @t563 () (forall (@list @t2 @t557 @t556) @t562)) % 244.52/244.74 (define @t564 () (@list @t557 @t556)) % 244.52/244.74 (define @t565 () (forall @t564 @t562)) % 244.52/244.74 (define @t566 () (forall @t564 @t561)) % 244.52/244.74 (define @t567 () (@var "BOUND_VARIABLE_10569" $$unsorted)) % 244.52/244.74 (define @t568 () (or @t202 @t566)) % 244.52/244.74 (define @t569 () (= (tptp.app @t78 @t567) (tptp.app @t2 (tptp.app @t1 @t567)))) % 244.52/244.74 (define @t570 () (not (tptp.ssList @t567))) % 244.52/244.74 (define @t571 () (or @t224 @t570 @t569)) % 244.52/244.74 (define @t572 () (@list @t1 @t567)) % 244.52/244.74 (define @t573 () (forall @t572 @t571)) % 244.52/244.74 (define @t574 () (or @t570 @t569)) % 244.52/244.74 (define @t575 () (or @t224 @t574)) % 244.52/244.74 (define @t576 () (forall @t572 @t575)) % 244.52/244.74 (define @t577 () (@list @t567)) % 244.52/244.74 (define @t578 () (forall @t577 @t575)) % 244.52/244.74 (define @t579 () (forall @t577 @t574)) % 244.52/244.74 (define @t580 () (or @t224 @t579)) % 244.52/244.74 (define @t581 () (forall @t16 (or @t248 @t110))) % 244.52/244.74 (define @t582 () (tptp.ssList @t328)) % 244.52/244.74 (define @t583 () (or @t367 @t341 @t582)) % 244.52/244.74 (define @t584 () (@var "BOUND_VARIABLE_9389" $$unsorted)) % 244.52/244.74 (define @t585 () (tptp.ssList (tptp.app @t2 @t584))) % 244.52/244.74 (define @t586 () (not (tptp.ssList @t584))) % 244.52/244.74 (define @t587 () (or @t586 @t585)) % 244.52/244.74 (define @t588 () (or @t202 @t587)) % 244.52/244.74 (define @t589 () (forall (@list @t2 @t584) @t588)) % 244.52/244.74 (define @t590 () (@list @t584)) % 244.52/244.74 (define @t591 () (forall @t590 @t588)) % 244.52/244.74 (define @t592 () (forall @t590 @t587)) % 244.52/244.74 (define @t593 () (or @t202 @t592)) % 244.52/244.74 (define @t594 () (forall @t7 (or @t224 @t79))) % 244.52/244.74 (define @t595 () (tptp.ssList @t332)) % 244.52/244.74 (define @t596 () (or @t339 @t400 @t595)) % 244.52/244.74 (define @t597 () (= @t334 @t543)) % 244.52/244.74 (define @t598 () (not @t582)) % 244.52/244.74 (define @t599 () (not @t595)) % 244.52/244.74 (define @t600 () (or @t599 @t598 @t337 @t597)) % 244.52/244.74 (define @t601 () (tptp.app @t331 (tptp.cons @t395 @t419))) % 244.52/244.74 (define @t602 () (not (= @t601 @t543))) % 244.52/244.74 (define @t603 () (not @t480)) % 244.52/244.74 (define @t604 () (= @t395 @t325)) % 244.52/244.74 (define @t605 () (or @t603 @t341 @t604 @t339 @t337 @t602)) % 244.52/244.74 (define @t606 () (= @t543 @t601)) % 244.52/244.74 (define @t607 () (not @t606)) % 244.52/244.74 (define @t608 () (= @t325 @t395)) % 244.52/244.74 (define @t609 () (or @t603 @t341 @t608 @t339 @t337 @t607)) % 244.52/244.74 (define @t610 () (tptp.app tptp.nil @t393)) % 244.52/244.74 (define @t611 () (= @t393 @t610)) % 244.52/244.74 (define @t612 () (or @t398 @t611)) % 244.52/244.74 (define @t613 () (@var "BOUND_VARIABLE_9369" $$unsorted)) % 244.52/244.74 (define @t614 () (= @t2 (tptp.tl (tptp.cons @t613 @t2)))) % 244.52/244.74 (define @t615 () (not (tptp.ssItem @t613))) % 244.52/244.74 (define @t616 () (or @t615 @t614)) % 244.52/244.74 (define @t617 () (or @t202 @t616)) % 244.52/244.74 (define @t618 () (forall (@list @t2 @t613) @t617)) % 244.52/244.74 (define @t619 () (@list @t613)) % 244.52/244.74 (define @t620 () (forall @t619 @t617)) % 244.52/244.74 (define @t621 () (forall @t619 @t616)) % 244.52/244.74 (define @t622 () (or @t202 @t621)) % 244.52/244.74 (define @t623 () (= @t2 @t73)) % 244.52/244.74 (define @t624 () (forall @t7 (or @t362 @t623))) % 244.52/244.74 (define @t625 () (tptp.tl @t330)) % 244.52/244.74 (define @t626 () (= tptp.nil @t625)) % 244.52/244.74 (define @t627 () (or @t367 @t343 @t626)) % 244.52/244.74 (define @t628 () (tptp.app @t625 @t393)) % 244.52/244.74 (define @t629 () (@var "BOUND_VARIABLE_10684" $$unsorted)) % 244.52/244.74 (define @t630 () (= (tptp.tl (tptp.app @t2 @t629)) (tptp.app @t72 @t629))) % 244.52/244.74 (define @t631 () (not (tptp.ssList @t629))) % 244.52/244.74 (define @t632 () (or @t202 @t373 @t631 @t630)) % 244.52/244.74 (define @t633 () (or @t631 @t630)) % 244.52/244.74 (define @t634 () (or @t202 @t373 @t633)) % 244.52/244.74 (define @t635 () (@list @t2 @t629)) % 244.52/244.74 (define @t636 () (forall @t635 @t634)) % 244.52/244.74 (define @t637 () (@list @t629)) % 244.52/244.74 (define @t638 () (forall @t637 @t634)) % 244.52/244.74 (define @t639 () (forall @t637 @t633)) % 244.52/244.74 (define @t640 () (or @t202 @t373 @t639)) % 244.52/244.74 (define @t641 () (or @t224 @t122)) % 244.52/244.74 (define @t642 () (forall @t7 @t641)) % 244.52/244.74 (define @t643 () (or @t202 @t373 @t642)) % 244.52/244.74 (define @t644 () (or @t373 @t642)) % 244.52/244.74 (define @t645 () (or @t373 @t641)) % 244.52/244.74 (define @t646 () (or @t224 @t373 @t122)) % 244.52/244.74 (define @t647 () (=> @t390 @t122)) % 244.52/244.74 (define @t648 () (tptp.tl @t394)) % 244.52/244.74 (define @t649 () (= @t648 @t628)) % 244.52/244.74 (define @t650 () (or @t400 @t401 @t398 @t649)) % 244.52/244.74 (define @t651 () (forall @t635 @t632)) % 244.52/244.74 (define @t652 () (or @t400 @t405 @t398 @t649)) % 244.52/244.74 (define @t653 () (tptp.cons @t329 @t610)) % 244.52/244.74 (define @t654 () (or @t398 @t367 @t343 (= @t653 @t394))) % 244.52/244.74 (define @t655 () (= @t394 @t653)) % 244.52/244.74 (define @t656 () (or @t398 @t367 @t343 @t655)) % 244.52/244.74 (define @t657 () (tptp.app @t330 @t328)) % 244.52/244.74 (define @t658 () (tptp.app @t657 @t327)) % 244.52/244.74 (define @t659 () (= @t658 @t394)) % 244.52/244.74 (define @t660 () (or @t400 @t598 @t337 @t659)) % 244.52/244.74 (define @t661 () (tptp.app @t331 @t658)) % 244.52/244.74 (define @t662 () (tptp.ssList @t657)) % 244.52/244.74 (define @t663 () (or @t400 @t598 @t662)) % 244.52/244.74 (define @t664 () (tptp.app @t331 @t657)) % 244.52/244.74 (define @t665 () (= (tptp.app @t664 @t327) @t661)) % 244.52/244.74 (define @t666 () (not @t662)) % 244.52/244.74 (define @t667 () (or @t339 @t666 @t337 @t665)) % 244.52/244.74 (define @t668 () (= @t333 @t664)) % 244.52/244.74 (define @t669 () (or @t339 @t400 @t598 @t668)) % 244.52/244.74 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 244.52/244.74 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 244.52/244.74 (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))))))))))) % 244.52/244.74 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 244.52/244.74 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 244.52/244.74 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 244.52/244.74 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 244.52/244.74 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 244.52/244.74 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 244.52/244.74 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 244.52/244.74 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 244.52/244.74 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 244.52/244.74 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 244.52/244.74 (assume @p14 @t50) % 244.52/244.74 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 244.52/244.74 (assume @p16 @t55) % 244.52/244.74 (assume @p17 @t56) % 244.52/244.74 (assume @p18 @t61) % 244.52/244.74 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 244.52/244.74 (assume @p20 (forall @t9 (=> @t17 (or @t64 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t63 @t2))))))))) % 244.52/244.74 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 244.52/244.74 (assume @p22 (forall @t9 (=> @t17 (=> @t66 (tptp.ssItem @t65))))) % 244.52/244.74 (assume @p23 @t71) % 244.52/244.74 (assume @p24 (forall @t9 (=> @t17 (=> @t66 (tptp.ssList @t72))))) % 244.52/244.74 (assume @p25 @t77) % 244.52/244.74 (assume @p26 @t82) % 244.52/244.74 (assume @p27 @t89) % 244.52/244.74 (assume @p28 @t92) % 244.52/244.74 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t94 @t93) @t3)))))) % 244.52/244.74 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t94 @t26) (tptp.leq @t2 @t12))))))))) % 244.52/244.74 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 244.52/244.74 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t93)))))) % 244.52/244.74 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not @t96))))))) % 244.52/244.74 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t97 @t35) @t98)))))))) % 244.52/244.74 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t96)))))) % 244.52/244.74 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t100))))))))) % 244.52/244.74 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t100))))))))) % 244.52/244.74 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 244.52/244.74 (assume @p39 (not (tptp.singletonP tptp.nil))) % 244.52/244.74 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 @t101) (tptp.frontsegP @t2 @t12))))))))) % 244.52/244.74 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t102) @t3)))))) % 244.52/244.74 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 244.52/244.74 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 244.52/244.74 (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)))))))))))) % 244.52/244.74 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 244.52/244.74 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 244.52/244.74 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 244.52/244.74 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 244.52/244.74 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 244.52/244.74 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t103 @t1))))))))) % 244.52/244.74 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 244.52/244.74 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 244.52/244.74 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 244.52/244.74 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 244.52/244.74 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 244.52/244.74 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t103 @t10) @t1))))))))))) % 244.52/244.74 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 244.52/244.74 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 244.52/244.74 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t104)))) % 244.52/244.74 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 244.52/244.74 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t104)))) % 244.52/244.74 (assume @p62 (tptp.totalorderP tptp.nil)) % 244.52/244.74 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t104)))) % 244.52/244.74 (assume @p64 (tptp.strictorderP tptp.nil)) % 244.52/244.74 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t104)))) % 244.52/244.74 (assume @p66 (tptp.totalorderedP tptp.nil)) % 244.52/244.74 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t108) (or @t106 (and @t107 (tptp.totalorderedP @t1) (tptp.leq @t2 @t105))))))))) % 244.52/244.74 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t104)))) % 244.52/244.74 (assume @p69 (tptp.strictorderedP tptp.nil)) % 244.52/244.74 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t108) (or @t106 (and @t107 (tptp.strictorderedP @t1) (tptp.lt @t2 @t105))))))))) % 244.52/244.74 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t104)))) % 244.52/244.74 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 244.52/244.74 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t104)))) % 244.52/244.74 (assume @p74 (tptp.equalelemsP tptp.nil)) % 244.52/244.74 (assume @p75 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 244.52/244.74 (assume @p76 (forall @t9 (=> @t17 (=> @t66 (exists @t7 (and @t21 (= @t72 @t1))))))) % 244.52/244.74 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t107 @t66 (= @t105 @t65) (= (tptp.tl @t1) @t72)) @t62)))))) % 244.52/244.74 (assume @p78 (forall @t9 (=> @t17 (=> @t66 (= (tptp.cons @t65 @t72) @t2))))) % 244.52/244.74 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t78) @t109)))))))) % 244.52/244.74 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t83) @t109)))))))) % 244.52/244.74 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t51 (tptp.app @t18 @t2))))))) % 244.52/244.74 (assume @p82 @t115) % 244.52/244.74 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t78) (and @t106 @t64))))))) % 244.52/244.74 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 244.52/244.74 (assume @p85 @t121) % 244.52/244.74 (assume @p86 @t127) % 244.52/244.74 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t95 (tptp.geq @t1 @t2)) @t3)))))) % 244.52/244.74 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t95 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 244.52/244.74 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 244.52/244.74 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 244.52/244.74 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t94 @t35) @t98)))))))) % 244.52/244.74 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (or @t3 @t97))))))) % 244.52/244.74 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 (and @t4 @t94))))))) % 244.52/244.74 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (not (tptp.gt @t1 @t2)))))))) % 244.52/244.74 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t99 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 244.52/244.74 (assume @p96 @t172) % 244.52/244.74 (assume @p97 true) % 244.52/244.74 (step @p98 :rule aci_norm :args ((= (or @t191 @t190 @t189 @t188 @t187 @t186 @t185 false @t184 @t183 @t182) @t192))) % 244.52/244.74 (step @p99 :rule refl :args (@t182)) % 244.52/244.74 (step @p100 :rule refl :args (@t183)) % 244.52/244.74 (step @p101 :rule refl :args (@t184)) % 244.52/244.74 (step @p102 :rule evaluate :args ((not true))) % 244.52/244.74 (step @p103 :rule eq-refl :args (@t178)) % 244.52/244.74 (step @p104 :rule cong :premises (@p103) :args (@t193)) % 244.52/244.74 (step @p105 :rule trans :premises (@p104 @p102)) % 244.52/244.74 (step @p106 :rule refl :args (@t185)) % 244.52/244.74 (step @p107 :rule refl :args (@t186)) % 244.52/244.74 (step @p108 :rule refl :args (@t187)) % 244.52/244.74 (step @p109 :rule refl :args (@t188)) % 244.52/244.74 (step @p110 :rule refl :args (@t189)) % 244.52/244.74 (step @p111 :rule refl :args (@t190)) % 244.52/244.74 (step @p112 :rule refl :args (@t191)) % 244.52/244.74 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p101 @p100 @p99) :args (@t194)) % 244.52/244.74 (step @p114 :rule trans :premises (@p113 @p98)) % 244.52/244.74 (step @p115 :rule cong :premises (@p114) :args ((forall @t195 @t194))) % 244.52/244.74 (step @p116 :rule quant-var-elim-eq :args ((= (forall @t9 @t203) @t194))) % 244.52/244.74 (step @p117 :rule aci_norm :args ((= @t204 @t203))) % 244.52/244.74 (step @p118 :rule cong :premises (@p117) :args (@t205)) % 244.52/244.74 (step @p119 :rule trans :premises (@p118 @p116)) % 244.52/244.74 (step @p120 :rule cong :premises (@p119) :args (@t206)) % 244.52/244.74 (step @p121 :rule quant-merge-prenex :args ((= @t206 @t207))) % 244.52/244.74 (step @p122 :rule symm :premises (@p121)) % 244.52/244.74 (step @p123 :rule quant_var_reordering :args ((= (forall @t208 @t204) @t207))) % 244.52/244.74 (step @p124 :rule trans :premises (@p123 @p122 @p120)) % 244.52/244.74 (step @p125 :rule trans :premises (@p124 @p115)) % 244.52/244.74 (step @p126 :rule aci_norm :args ((= @t211 @t204))) % 244.52/244.74 (step @p127 :rule cong :premises (@p126) :args (@t212)) % 244.52/244.74 (step @p128 :rule trans :premises (@p127 @p125)) % 244.52/244.74 (step @p129 :rule quant-merge-prenex :args ((= (forall @t9 @t213) @t212))) % 244.52/244.74 (step @p130 :rule alpha_equiv :args (@t214 (@list @t179) @t215)) % 244.52/244.74 (step @p131 :rule refl :args (@t201)) % 244.52/244.74 (step @p132 :rule alpha_equiv :args (@t216 (@list @t176 @t175 @t177 @t174) (@list @t27 @t219 @t218 @t217))) % 244.52/244.74 (step @p133 :rule refl :args (@t202)) % 244.52/244.74 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t220)) % 244.52/244.74 (step @p135 :rule quant-miniscope-or :args ((= @t213 @t220))) % 244.52/244.74 (step @p136 :rule trans :premises (@p135 @p134)) % 244.52/244.74 (step @p137 :rule symm :premises (@p136)) % 244.52/244.74 (step @p138 :rule cong :premises (@p137) :args ((forall @t9 @t236))) % 244.52/244.74 (step @p139 :rule trans :premises (@p138 @p129)) % 244.52/244.74 (step @p140 :rule trans :premises (@p139 @p128)) % 244.52/244.74 (step @p141 :rule aci_norm :args ((= (or @t202 @t237) @t236))) % 244.52/244.74 (step @p142 :rule bool-impl-elim :args (@t17 @t237)) % 244.52/244.74 (step @p143 :rule trans :premises (@p142 @p141)) % 244.52/244.74 (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t237)))) % 244.52/244.74 (step @p145 :rule trans :premises (@p144 @p140)) % 244.52/244.74 (step @p146 :rule quant-miniscope-or :args ((= (forall @t7 @t238) @t237))) % 244.52/244.74 (step @p147 :rule aci_norm :args ((= @t239 @t238))) % 244.52/244.74 (step @p148 :rule cong :premises (@p147) :args ((forall @t7 @t239))) % 244.52/244.74 (step @p149 :rule trans :premises (@p148 @p146)) % 244.52/244.74 (step @p150 :rule aci_norm :args ((= (or @t224 @t240) @t239))) % 244.52/244.74 (step @p151 :rule bool-impl-elim :args (@t21 @t240)) % 244.52/244.74 (step @p152 :rule trans :premises (@p151 @p150)) % 244.52/244.74 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 (=> @t21 @t240)))) % 244.52/244.74 (step @p154 :rule trans :premises (@p153 @p149)) % 244.52/244.74 (step @p155 :rule aci_norm :args ((= (or @t235 @t224 @t241) @t240))) % 244.52/244.74 (step @p156 :rule aci_norm :args ((= (or @t202 false @t201 @t223 @t222) @t241))) % 244.52/244.74 (step @p157 :rule refl :args (@t222)) % 244.52/244.74 (step @p158 :rule refl :args (@t223)) % 244.52/244.74 (step @p159 :rule refl :args (@t201)) % 244.52/244.74 (step @p160 :rule eq-refl :args (@t2)) % 244.52/244.74 (step @p161 :rule cong :premises (@p160) :args (@t242)) % 244.52/244.74 (step @p162 :rule trans :premises (@p161 @p102)) % 244.52/244.74 (step @p163 :rule refl :args (@t202)) % 244.52/244.74 (step @p164 :rule nary_cong :premises (@p163 @p162 @p159 @p158 @p157) :args (@t243)) % 244.52/244.74 (step @p165 :rule trans :premises (@p164 @p156)) % 244.52/244.74 (step @p166 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t109) @t248 @t161 @t159 @t247 @t246)) @t243))) % 244.52/244.74 (step @p167 :rule refl :args (@t246)) % 244.52/244.74 (step @p168 :rule refl :args (@t247)) % 244.52/244.74 (step @p169 :rule refl :args (@t159)) % 244.52/244.74 (step @p170 :rule refl :args (@t161)) % 244.52/244.74 (step @p171 :rule refl :args (@t248)) % 244.52/244.74 (step @p172 :rule eq-symm :args (@t2 @t12)) % 244.52/244.74 (step @p173 :rule cong :premises (@p172) :args (@t161)) % 244.52/244.74 (step @p174 :rule nary_cong :premises (@p173 @p171 @p170 @p169 @p168 @p167) :args (@t249)) % 244.52/244.74 (step @p175 :rule aci_norm :args ((= @t250 @t249))) % 244.52/244.74 (step @p176 :rule trans :premises (@p175 @p174)) % 244.52/244.74 (step @p177 :rule cong :premises (@p176) :args (@t251)) % 244.52/244.74 (step @p178 :rule trans :premises (@p177 @p166)) % 244.52/244.74 (step @p179 :rule trans :premises (@p178 @p165)) % 244.52/244.74 (step @p180 :rule refl :args (@t224)) % 244.52/244.74 (step @p181 :rule refl :args (@t235)) % 244.52/244.74 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t252)) % 244.52/244.74 (step @p183 :rule trans :premises (@p182 @p155)) % 244.52/244.74 (step @p184 :rule quant-miniscope-or :args ((= (forall @t16 @t253) @t252))) % 244.52/244.74 (step @p185 :rule aci_norm :args ((= @t254 @t253))) % 244.52/244.74 (step @p186 :rule cong :premises (@p185) :args ((forall @t16 @t254))) % 244.52/244.74 (step @p187 :rule trans :premises (@p186 @p184)) % 244.52/244.74 (step @p188 :rule trans :premises (@p187 @p183)) % 244.52/244.74 (step @p189 :rule aci_norm :args ((= (or @t248 @t255) @t254))) % 244.52/244.74 (step @p190 :rule bool-impl-elim :args (@t15 @t255)) % 244.52/244.74 (step @p191 :rule trans :premises (@p190 @p189)) % 244.52/244.74 (step @p192 :rule cong :premises (@p191) :args ((forall @t16 (=> @t15 @t255)))) % 244.52/244.74 (step @p193 :rule trans :premises (@p192 @p188)) % 244.52/244.74 (step @p194 :rule aci_norm :args ((= (or @t161 @t159 @t235 @t256) @t255))) % 244.52/244.74 (step @p195 :rule aci_norm :args ((= (or @t224 false @t247 @t246) @t256))) % 244.52/244.74 (step @p196 :rule refl :args (@t246)) % 244.52/244.74 (step @p197 :rule refl :args (@t247)) % 244.52/244.74 (step @p198 :rule eq-refl :args (@t1)) % 244.52/244.74 (step @p199 :rule cong :premises (@p198) :args (@t257)) % 244.52/244.74 (step @p200 :rule trans :premises (@p199 @p102)) % 244.52/244.74 (step @p201 :rule nary_cong :premises (@p180 @p200 @p197 @p196) :args (@t258)) % 244.52/244.74 (step @p202 :rule trans :premises (@p201 @p195)) % 244.52/244.74 (step @p203 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t262 @t162 @t160 @t261)) @t258))) % 244.52/244.74 (step @p204 :rule refl :args (@t261)) % 244.52/244.74 (step @p205 :rule refl :args (@t160)) % 244.52/244.74 (step @p206 :rule refl :args (@t162)) % 244.52/244.74 (step @p207 :rule refl :args (@t262)) % 244.52/244.74 (step @p208 :rule eq-symm :args (@t1 @t10)) % 244.52/244.74 (step @p209 :rule cong :premises (@p208) :args (@t162)) % 244.52/244.74 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206 @p205 @p204) :args (@t263)) % 244.52/244.74 (step @p211 :rule aci_norm :args ((= @t264 @t263))) % 244.52/244.74 (step @p212 :rule trans :premises (@p211 @p210)) % 244.52/244.74 (step @p213 :rule cong :premises (@p212) :args (@t265)) % 244.52/244.74 (step @p214 :rule trans :premises (@p213 @p203)) % 244.52/244.74 (step @p215 :rule trans :premises (@p214 @p202)) % 244.52/244.74 (step @p216 :rule refl :args (@t159)) % 244.52/244.74 (step @p217 :rule refl :args (@t161)) % 244.52/244.74 (step @p218 :rule nary_cong :premises (@p217 @p216 @p181 @p215) :args (@t266)) % 244.52/244.74 (step @p219 :rule trans :premises (@p218 @p194)) % 244.52/244.74 (step @p220 :rule quant-miniscope-or :args ((= (forall @t14 @t267) @t266))) % 244.52/244.74 (step @p221 :rule aci_norm :args ((= @t268 @t267))) % 244.52/244.74 (step @p222 :rule cong :premises (@p221) :args ((forall @t14 @t268))) % 244.52/244.74 (step @p223 :rule trans :premises (@p222 @p220)) % 244.52/244.74 (step @p224 :rule trans :premises (@p223 @p219)) % 244.52/244.74 (step @p225 :rule aci_norm :args ((= (or @t262 @t269) @t268))) % 244.52/244.74 (step @p226 :rule bool-impl-elim :args (@t13 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@p927 :rule symm :premises (@p923)) % 244.52/244.74 (step @p928 :rule symm :premises (@p869)) % 244.52/244.74 (step @p929 :rule trans :premises (@p928 @p927)) % 244.52/244.74 (step @p930 :rule trans :premises (@p410 @p603)) % 244.52/244.74 (step @p931 :rule cong :premises (@p930 @p929) :args (@t653)) % 244.52/244.74 (step @p932 :rule eq-symm :args (@t653 @t394)) % 244.52/244.74 (step @p933 :rule refl :args (@t343)) % 244.52/244.74 (step @p934 :rule nary_cong :premises (@p458 @p549 @p933 @p932) :args (@t654)) % 244.52/244.74 (step @p935 :rule cong :premises (@p552 @p934) :args ((=> @t459 @t654))) % 244.52/244.74 (assume-push @p994 @t459) % 244.52/244.74 (step @p937 :rule instantiate :premises (@p546) :args ((@list @t393 tptp.nil @t329))) % 244.52/244.74 (step-pop @p995 :rule scope :premises (@p937)) % 244.52/244.74 (step @p938 :rule process_scope :premises (@p995) :args (@t654)) % 244.52/244.74 (step @p940 :rule eq_resolve :premises (@p938 @p935)) % 244.52/244.74 (step @p941 :rule implies_elim :premises (@p940)) % 244.52/244.74 (step @p942 :rule chain_m_resolution :premises (@p941 @p546) :args (@t656 @t407 @t462)) % 244.52/244.74 (step @p943 :rule cnf_or_pos :args (@t656)) % 244.52/244.74 (step @p944 :rule reordering :premises (@p943) :args ((or @t367 @t343 @t398 @t655 (not @t656)))) % 244.52/244.74 (step @p945 :rule chain_m_resolution :premises (@p944 @p17 @p380 @p567 @p942) :args (@t655 @t463 (@list @t56 @t342 @t397 @t656))) % 244.52/244.74 (step @p946 :rule instantiate :premises (@p766) :args ((@list @t330 @t328 @t327))) % 244.52/244.74 (step @p947 :rule cnf_or_pos :args (@t660)) % 244.52/244.74 (step @p948 :rule reordering :premises (@p947) :args ((or @t337 @t400 @t598 @t659 (not @t660)))) % 244.52/244.74 (step @p949 :rule chain_m_resolution :premises (@p948 @p374 @p571 @p771 @p946) :args (@t659 @t463 (@list @t336 @t399 @t582 @t660))) % 244.52/244.74 (step @p950 :rule trans :premises (@p949 @p945 @p931 @p926)) % 244.52/244.74 (step @p951 :rule refl :args (@t331)) % 244.52/244.74 (step @p952 :rule cong :premises (@p951 @p950) :args (@t661)) % 244.52/244.74 (step @p953 :rule instantiate :premises (@p766) :args ((@list @t331 @t657 @t327))) % 244.52/244.74 (step @p954 :rule instantiate :premises (@p791) :args ((@list @t330 @t328))) % 244.52/244.74 (step @p955 :rule cnf_or_pos :args (@t663)) % 244.52/244.74 (step @p956 :rule reordering :premises (@p955) :args ((or @t400 @t598 @t662 (not @t663)))) % 244.52/244.74 (step @p957 :rule chain_m_resolution :premises (@p956 @p571 @p771 @p954) :args (@t662 @t369 (@list @t399 @t582 @t663))) % 244.52/244.74 (step @p958 :rule cnf_or_pos :args (@t667)) % 244.52/244.74 (step @p959 :rule reordering :premises (@p958) :args ((or @t339 @t337 @t666 @t665 (not @t667)))) % 244.52/244.74 (step @p960 :rule chain_m_resolution :premises (@p959 @p368 @p374 @p957 @p953) :args (@t665 @t463 (@list @t338 @t336 @t662 @t667))) % 244.52/244.76 (step @p961 :rule refl :args (@t327)) % 244.52/244.76 (step @p962 :rule instantiate :premises (@p766) :args ((@list @t331 @t330 @t328))) % 244.52/244.76 (step @p963 :rule cnf_or_pos :args (@t669)) % 244.52/244.76 (step @p964 :rule reordering :premises (@p963) :args ((or @t339 @t400 @t598 @t668 (not @t669)))) % 244.52/244.76 (step @p965 :rule chain_m_resolution :premises (@p964 @p368 @p571 @p771 @p962) :args (@t668 @t463 (@list @t338 @t399 @t582 @t669))) % 244.52/244.76 (step @p966 :rule cong :premises (@p965 @p961) :args (@t334)) % 244.52/244.76 (step @p967 :rule trans :premises (@p799 @p966 @p960 @p952)) % 244.52/244.76 (step @p968 :rule bool-eq-false :args (@t608)) % 244.52/244.76 (step @p969 :rule symm :premises (@p968)) % 244.52/244.76 (step @p970 :rule cong :premises (@p822) :args ((not @t604))) % 244.52/244.76 (step @p971 :rule bool-eq-false :args (@t604)) % 244.52/244.76 (step @p972 :rule trans :premises (@p971 @p970)) % 244.52/244.76 (step @p973 :rule trans :premises (@p972 @p969)) % 244.52/244.76 (step @p974 :rule cnf_or_neg :args (@t348 4)) % 244.52/244.76 (step @p975 :rule chain_m_resolution :premises (@p974 @p355) :args ((not @t340) @t349 @t350)) % 244.52/244.76 (step @p976 :rule false_intro :premises (@p975)) % 244.52/244.76 (step @p977 :rule cong :premises (@p605 @p508) :args (@t604)) % 244.52/244.76 (step @p978 :rule trans :premises (@p977 @p976)) % 244.52/244.76 (step @p979 :rule eq_resolve :premises (@p978 @p973)) % 244.52/244.76 (step @p980 :rule false_elim :premises (@p979)) % 244.52/244.76 (step @p981 :rule cnf_or_pos :args (@t609)) % 244.52/244.76 (step @p982 :rule reordering :premises (@p981) :args ((or @t341 @t339 @t337 @t603 @t608 @t607 (not @t609)))) % 244.52/244.76 (step @p983 false :rule chain_m_resolution :premises (@p982 @p980 @p967 @p833 @p608 @p374 @p368 @p362) :args (false (@list true false false false false false false) (@list @t608 @t606 @t609 @t480 @t336 @t338 @t326))) % 244.52/244.76 ) % 244.52/244.76 % SZS output end Proof % 244.52/244.76 % cvc5 exiting %------------------------------------------------------------------------------