%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC067+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 : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:55 AM UTC 2026 % Result : Theorem 1.31s 1.51s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWC067+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 19:12:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.31/1.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.31/1.51 % SZS status Theorem % 1.31/1.51 % SZS output start Proof % 1.31/1.51 ( % 1.31/1.51 (declare-sort $$unsorted 0) % 1.31/1.51 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.nil $$unsorted) % 1.31/1.51 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (define @t1 () (@var "V" $$unsorted)) % 1.31/1.51 (define @t2 () (@var "U" $$unsorted)) % 1.31/1.51 (define @t3 () (= @t2 @t1)) % 1.31/1.51 (define @t4 () (not @t3)) % 1.31/1.51 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.31/1.51 (define @t6 () (tptp.ssItem @t1)) % 1.31/1.51 (define @t7 () (@list @t1)) % 1.31/1.51 (define @t8 () (tptp.ssItem @t2)) % 1.31/1.51 (define @t9 () (@list @t2)) % 1.31/1.51 (define @t10 () (@var "X" $$unsorted)) % 1.31/1.51 (define @t11 () (tptp.cons @t1 @t10)) % 1.31/1.51 (define @t12 () (@var "W" $$unsorted)) % 1.31/1.51 (define @t13 () (tptp.ssList @t10)) % 1.31/1.51 (define @t14 () (@list @t10)) % 1.31/1.51 (define @t15 () (tptp.ssList @t12)) % 1.31/1.51 (define @t16 () (@list @t12)) % 1.31/1.51 (define @t17 () (tptp.ssList @t2)) % 1.31/1.51 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.31/1.51 (define @t19 () (tptp.app @t1 @t12)) % 1.31/1.51 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.31/1.51 (define @t21 () (tptp.ssList @t1)) % 1.31/1.51 (define @t22 () (tptp.app @t12 @t1)) % 1.31/1.51 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.31/1.51 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.31/1.51 (define @t25 () (tptp.leq @t12 @t1)) % 1.31/1.51 (define @t26 () (tptp.leq @t1 @t12)) % 1.31/1.51 (define @t27 () (@var "Z" $$unsorted)) % 1.31/1.51 (define @t28 () (@var "Y" $$unsorted)) % 1.31/1.51 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.31/1.51 (define @t30 () (tptp.ssList @t27)) % 1.31/1.51 (define @t31 () (@list @t27)) % 1.31/1.51 (define @t32 () (tptp.ssList @t28)) % 1.31/1.51 (define @t33 () (@list @t28)) % 1.31/1.51 (define @t34 () (tptp.ssItem @t12)) % 1.31/1.51 (define @t35 () (tptp.lt @t1 @t12)) % 1.31/1.51 (define @t36 () (tptp.strictorderedP @t2)) % 1.31/1.51 (define @t37 () (= @t1 @t12)) % 1.31/1.51 (define @t38 () (forall @t7 (=> @t21 @t5))) % 1.31/1.51 (define @t39 () (=> @t17 @t38)) % 1.31/1.51 (define @t40 () (forall @t9 @t39)) % 1.31/1.51 (define @t41 () (tptp.cons @t1 @t2)) % 1.31/1.51 (define @t42 () (tptp.ssList tptp.nil)) % 1.31/1.51 (define @t43 () (= @t1 @t2)) % 1.31/1.51 (define @t44 () (tptp.cons @t12 @t1)) % 1.31/1.51 (define @t45 () (= tptp.nil @t2)) % 1.31/1.51 (define @t46 () (tptp.hd @t2)) % 1.31/1.51 (define @t47 () (not @t45)) % 1.31/1.51 (define @t48 () (tptp.tl @t2)) % 1.31/1.51 (define @t49 () (tptp.app @t2 @t1)) % 1.31/1.51 (define @t50 () (tptp.ssList @t49)) % 1.31/1.51 (define @t51 () (forall @t7 (=> @t21 @t50))) % 1.31/1.51 (define @t52 () (=> @t17 @t51)) % 1.31/1.51 (define @t53 () (forall @t9 @t52)) % 1.31/1.51 (define @t54 () (tptp.app @t1 @t2)) % 1.31/1.51 (define @t55 () (tptp.leq @t1 @t2)) % 1.31/1.51 (define @t56 () (tptp.leq @t2 @t1)) % 1.31/1.51 (define @t57 () (tptp.geq @t2 @t1)) % 1.31/1.51 (define @t58 () (tptp.lt @t1 @t2)) % 1.31/1.51 (define @t59 () (tptp.lt @t2 @t1)) % 1.31/1.51 (define @t60 () (tptp.lt @t2 @t12)) % 1.31/1.51 (define @t61 () (tptp.gt @t2 @t1)) % 1.31/1.51 (define @t62 () (tptp.memberP @t12 @t2)) % 1.31/1.51 (define @t63 () (tptp.app @t12 @t2)) % 1.31/1.51 (define @t64 () (tptp.segmentP @t2 @t2)) % 1.31/1.51 (define @t65 () (forall @t9 (=> @t17 @t64))) % 1.31/1.51 (define @t66 () (tptp.segmentP (tptp.app @t63 @t10) @t1)) % 1.31/1.51 (define @t67 () (=> @t24 @t66)) % 1.31/1.51 (define @t68 () (forall @t14 (=> @t13 @t67))) % 1.31/1.51 (define @t69 () (=> @t15 @t68)) % 1.31/1.51 (define @t70 () (forall @t16 @t69)) % 1.31/1.51 (define @t71 () (=> @t21 @t70)) % 1.31/1.51 (define @t72 () (forall @t7 @t71)) % 1.31/1.51 (define @t73 () (=> @t17 @t72)) % 1.31/1.51 (define @t74 () (forall @t9 @t73)) % 1.31/1.51 (define @t75 () (tptp.segmentP @t2 tptp.nil)) % 1.31/1.51 (define @t76 () (forall @t9 (=> @t17 @t75))) % 1.31/1.51 (define @t77 () (tptp.cons @t2 tptp.nil)) % 1.31/1.51 (define @t78 () (tptp.hd @t1)) % 1.31/1.51 (define @t79 () (= tptp.nil @t1)) % 1.31/1.51 (define @t80 () (not @t79)) % 1.31/1.51 (define @t81 () (tptp.cons @t2 @t1)) % 1.31/1.51 (define @t82 () (= @t12 @t2)) % 1.31/1.51 (define @t83 () (and @t79 @t45)) % 1.31/1.51 (define @t84 () (= tptp.nil @t49)) % 1.31/1.51 (define @t85 () (= @t84 @t83)) % 1.31/1.51 (define @t86 () (=> @t21 @t85)) % 1.31/1.51 (define @t87 () (forall @t7 @t86)) % 1.31/1.51 (define @t88 () (=> @t17 @t87)) % 1.31/1.51 (define @t89 () (forall @t9 @t88)) % 1.31/1.51 (define @t90 () (@var "X9" $$unsorted)) % 1.31/1.51 (define @t91 () (tptp.segmentP @t2 @t90)) % 1.31/1.51 (define @t92 () (tptp.segmentP @t1 @t90)) % 1.31/1.51 (define @t93 () (tptp.neq @t90 tptp.nil)) % 1.31/1.51 (define @t94 () (tptp.ssList @t90)) % 1.31/1.51 (define @t95 () (and @t94 @t93 @t92 @t91)) % 1.31/1.51 (define @t96 () (@list @t90)) % 1.31/1.51 (define @t97 () (exists @t96 @t95)) % 1.31/1.51 (define @t98 () (not (tptp.neq @t1 tptp.nil))) % 1.31/1.51 (define @t99 () (or @t98 @t97)) % 1.31/1.51 (define @t100 () (or @t80 @t45)) % 1.31/1.51 (define @t101 () (and @t100 @t99)) % 1.31/1.51 (define @t102 () (not (= tptp.nil @t10))) % 1.31/1.51 (define @t103 () (and @t102 (= tptp.nil @t12))) % 1.31/1.51 (define @t104 () (@var "X5" $$unsorted)) % 1.31/1.51 (define @t105 () (@var "X7" $$unsorted)) % 1.31/1.51 (define @t106 () (tptp.lt @t105 @t104)) % 1.31/1.51 (define @t107 () (tptp.cons @t105 tptp.nil)) % 1.31/1.51 (define @t108 () (@var "X8" $$unsorted)) % 1.31/1.51 (define @t109 () (tptp.app @t108 @t107)) % 1.31/1.51 (define @t110 () (tptp.ssList @t108)) % 1.31/1.51 (define @t111 () (and @t110 (= @t109 @t12) @t106)) % 1.31/1.51 (define @t112 () (@list @t108)) % 1.31/1.51 (define @t113 () (exists @t112 @t111)) % 1.31/1.51 (define @t114 () (tptp.ssItem @t105)) % 1.31/1.51 (define @t115 () (and @t114 @t113)) % 1.31/1.51 (define @t116 () (@list @t105)) % 1.31/1.51 (define @t117 () (exists @t116 @t115)) % 1.31/1.51 (define @t118 () (@var "X6" $$unsorted)) % 1.31/1.51 (define @t119 () (tptp.cons @t104 tptp.nil)) % 1.31/1.51 (define @t120 () (tptp.app @t119 @t118)) % 1.31/1.51 (define @t121 () (tptp.ssList @t118)) % 1.31/1.51 (define @t122 () (and @t121 (= @t120 @t27) @t117)) % 1.31/1.51 (define @t123 () (@list @t118)) % 1.31/1.51 (define @t124 () (exists @t123 @t122)) % 1.31/1.51 (define @t125 () (tptp.ssItem @t104)) % 1.31/1.51 (define @t126 () (and @t125 @t124)) % 1.31/1.51 (define @t127 () (@list @t104)) % 1.31/1.51 (define @t128 () (exists @t127 @t126)) % 1.31/1.51 (define @t129 () (@var "X3" $$unsorted)) % 1.31/1.51 (define @t130 () (@var "X1" $$unsorted)) % 1.31/1.51 (define @t131 () (tptp.lt @t130 @t129)) % 1.31/1.51 (define @t132 () (@var "X4" $$unsorted)) % 1.31/1.51 (define @t133 () (tptp.cons @t129 tptp.nil)) % 1.31/1.51 (define @t134 () (tptp.app @t133 @t132)) % 1.31/1.51 (define @t135 () (tptp.ssList @t132)) % 1.31/1.51 (define @t136 () (and @t135 (= @t134 @t12) @t131)) % 1.31/1.51 (define @t137 () (@list @t132)) % 1.31/1.51 (define @t138 () (exists @t137 @t136)) % 1.31/1.51 (define @t139 () (tptp.ssItem @t129)) % 1.31/1.51 (define @t140 () (and @t139 @t138)) % 1.31/1.51 (define @t141 () (@list @t129)) % 1.31/1.51 (define @t142 () (exists @t141 @t140)) % 1.31/1.51 (define @t143 () (tptp.cons @t130 tptp.nil)) % 1.31/1.51 (define @t144 () (@var "X2" $$unsorted)) % 1.31/1.51 (define @t145 () (tptp.app @t144 @t143)) % 1.31/1.51 (define @t146 () (tptp.ssList @t144)) % 1.31/1.51 (define @t147 () (and @t146 (= @t145 @t28) @t142)) % 1.31/1.51 (define @t148 () (@list @t144)) % 1.31/1.51 (define @t149 () (exists @t148 @t147)) % 1.31/1.51 (define @t150 () (tptp.ssItem @t130)) % 1.31/1.51 (define @t151 () (and @t150 @t149)) % 1.31/1.51 (define @t152 () (@list @t130)) % 1.31/1.51 (define @t153 () (exists @t152 @t151)) % 1.31/1.51 (define @t154 () (not (tptp.strictorderedP @t12))) % 1.31/1.51 (define @t155 () (tptp.app @t28 @t12)) % 1.31/1.51 (define @t156 () (tptp.app @t155 @t27)) % 1.31/1.51 (define @t157 () (not (= @t156 @t10))) % 1.31/1.51 (define @t158 () (or @t157 @t154 @t153 @t128)) % 1.31/1.51 (define @t159 () (=> @t30 @t158)) % 1.31/1.51 (define @t160 () (forall @t31 @t159)) % 1.31/1.51 (define @t161 () (=> @t32 @t160)) % 1.31/1.51 (define @t162 () (forall @t33 @t161)) % 1.31/1.51 (define @t163 () (not (= @t2 @t12))) % 1.31/1.51 (define @t164 () (not (= @t1 @t10))) % 1.31/1.51 (define @t165 () (or @t164 @t163 @t162 @t103 @t101)) % 1.31/1.51 (define @t166 () (=> @t13 @t165)) % 1.31/1.51 (define @t167 () (forall @t14 @t166)) % 1.31/1.51 (define @t168 () (=> @t15 @t167)) % 1.31/1.51 (define @t169 () (forall @t16 @t168)) % 1.31/1.51 (define @t170 () (=> @t21 @t169)) % 1.31/1.51 (define @t171 () (forall @t7 @t170)) % 1.31/1.51 (define @t172 () (=> @t17 @t171)) % 1.31/1.51 (define @t173 () (forall @t9 @t172)) % 1.31/1.51 (define @t174 () (not @t173)) % 1.31/1.51 (define @t175 () (@var "BOUND_VARIABLE_11417" $$unsorted)) % 1.31/1.51 (define @t176 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 1.31/1.51 (define @t177 () (tptp.app @t119 @t176)) % 1.31/1.51 (define @t178 () (not (tptp.ssList @t176))) % 1.31/1.51 (define @t179 () (@var "BOUND_VARIABLE_11141" $$unsorted)) % 1.31/1.51 (define @t180 () (@var "BOUND_VARIABLE_11143" $$unsorted)) % 1.31/1.51 (define @t181 () (tptp.app @t180 (tptp.cons @t179 tptp.nil))) % 1.31/1.51 (define @t182 () (not (= @t2 @t181))) % 1.31/1.51 (define @t183 () (not (tptp.ssList @t180))) % 1.31/1.51 (define @t184 () (not (tptp.lt @t179 @t104))) % 1.31/1.51 (define @t185 () (not (tptp.ssItem @t179))) % 1.31/1.51 (define @t186 () (not @t125)) % 1.31/1.51 (define @t187 () (@list @t104 @t179 @t180 @t176)) % 1.31/1.51 (define @t188 () (not (forall @t187 (or @t186 @t185 @t184 @t183 @t182 @t178 (not (= @t177 @t175)))))) % 1.31/1.51 (define @t189 () (not (tptp.ssList @t175))) % 1.31/1.51 (define @t190 () (@var "BOUND_VARIABLE_11415" $$unsorted)) % 1.31/1.51 (define @t191 () (@var "BOUND_VARIABLE_11068" $$unsorted)) % 1.31/1.51 (define @t192 () (tptp.app @t191 @t143)) % 1.31/1.51 (define @t193 () (not (tptp.ssList @t191))) % 1.31/1.51 (define @t194 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 1.31/1.51 (define @t195 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 1.31/1.51 (define @t196 () (tptp.app (tptp.cons @t195 tptp.nil) @t194)) % 1.31/1.51 (define @t197 () (not (= @t2 @t196))) % 1.31/1.51 (define @t198 () (not (tptp.ssList @t194))) % 1.31/1.51 (define @t199 () (not (tptp.lt @t130 @t195))) % 1.31/1.51 (define @t200 () (not (tptp.ssItem @t195))) % 1.31/1.51 (define @t201 () (not @t150)) % 1.31/1.51 (define @t202 () (@list @t130 @t195 @t194 @t191)) % 1.31/1.51 (define @t203 () (not (forall @t202 (or @t201 @t200 @t199 @t198 @t197 @t193 (not (= @t192 @t190)))))) % 1.31/1.51 (define @t204 () (not (tptp.ssList @t190))) % 1.31/1.51 (define @t205 () (= @t2 tptp.nil)) % 1.31/1.51 (define @t206 () (tptp.app (tptp.app @t190 @t2) @t175)) % 1.31/1.51 (define @t207 () (not (= tptp.nil @t206))) % 1.31/1.51 (define @t208 () (and @t207 @t205)) % 1.31/1.51 (define @t209 () (not @t91)) % 1.31/1.51 (define @t210 () (not @t93)) % 1.31/1.51 (define @t211 () (not @t94)) % 1.31/1.51 (define @t212 () (and (or @t207 @t205) (or (not (tptp.neq @t206 tptp.nil)) (not (forall @t96 (or @t211 @t210 (not (tptp.segmentP @t206 @t90)) @t209)))))) % 1.31/1.51 (define @t213 () (not (tptp.ssList @t206))) % 1.31/1.51 (define @t214 () (not @t36)) % 1.31/1.51 (define @t215 () (not @t17)) % 1.31/1.51 (define @t216 () (or @t215 @t214 @t213 @t212 @t208 @t204 @t203 @t189 @t188)) % 1.31/1.51 (define @t217 () (@list @t2 @t190 @t175)) % 1.31/1.51 (define @t218 () (forall @t217 @t216)) % 1.31/1.51 (define @t219 () (@quantifiers_skolemize @t218 0)) % 1.31/1.51 (define @t220 () (@list @t219)) % 1.31/1.51 (define @t221 () (or @t213 @t212 @t208 @t204 @t203 @t189 @t188)) % 1.31/1.51 (define @t222 () (or @t215 @t214 @t221)) % 1.31/1.51 (define @t223 () (forall @t217 @t222)) % 1.31/1.51 (define @t224 () (@list @t190 @t175)) % 1.31/1.51 (define @t225 () (forall @t224 @t222)) % 1.31/1.51 (define @t226 () (forall @t224 @t221)) % 1.31/1.51 (define @t227 () (@var "BOUND_VARIABLE_11357" $$unsorted)) % 1.31/1.51 (define @t228 () (@var "BOUND_VARIABLE_11355" $$unsorted)) % 1.31/1.51 (define @t229 () (@list @t228 @t227)) % 1.31/1.51 (define @t230 () (or @t215 @t214 @t226)) % 1.31/1.51 (define @t231 () (not (forall @t187 (or @t186 @t185 @t184 @t183 @t182 @t178 (not (= @t177 @t227)))))) % 1.31/1.51 (define @t232 () (not (tptp.ssList @t227))) % 1.31/1.51 (define @t233 () (not (forall @t202 (or @t201 @t200 @t199 @t198 @t197 @t193 (not (= @t192 @t228)))))) % 1.31/1.51 (define @t234 () (not (tptp.ssList @t228))) % 1.31/1.51 (define @t235 () (tptp.app (tptp.app @t228 @t2) @t227)) % 1.31/1.51 (define @t236 () (not (= tptp.nil @t235))) % 1.31/1.51 (define @t237 () (and @t236 @t205)) % 1.31/1.51 (define @t238 () (or (not (tptp.neq @t235 tptp.nil)) (not (forall @t96 (or @t211 @t210 (not (tptp.segmentP @t235 @t90)) @t209))))) % 1.31/1.51 (define @t239 () (and (or @t236 @t205) @t238)) % 1.31/1.51 (define @t240 () (not (tptp.ssList @t235))) % 1.31/1.51 (define @t241 () (or @t240 @t239 @t237 @t234 @t233 @t232 @t231)) % 1.31/1.51 (define @t242 () (@list @t228 @t227)) % 1.31/1.51 (define @t243 () (or @t215 @t214 (forall @t242 @t241))) % 1.31/1.51 (define @t244 () (not (= @t235 @t235))) % 1.31/1.51 (define @t245 () (not (= @t235 tptp.nil))) % 1.31/1.51 (define @t246 () (and @t245 @t205)) % 1.31/1.51 (define @t247 () (or @t245 @t205)) % 1.31/1.51 (define @t248 () (and @t247 @t238)) % 1.31/1.51 (define @t249 () (or @t240 @t248 @t246 @t234 @t233 @t232 @t244 @t231)) % 1.31/1.51 (define @t250 () (not (= @t1 @t235))) % 1.31/1.51 (define @t251 () (= @t1 tptp.nil)) % 1.31/1.51 (define @t252 () (not @t251)) % 1.31/1.51 (define @t253 () (and @t252 @t205)) % 1.31/1.51 (define @t254 () (not @t92)) % 1.31/1.51 (define @t255 () (or @t211 @t210 @t254 @t209)) % 1.31/1.51 (define @t256 () (and (or @t252 @t205) (or @t98 (not (forall @t96 @t255))))) % 1.31/1.51 (define @t257 () (not @t21)) % 1.31/1.51 (define @t258 () (or @t250 @t257 @t256 @t253 @t234 @t233 @t232 @t250 @t231)) % 1.31/1.51 (define @t259 () (or @t257 @t256 @t253 @t234 @t233 @t232 @t250 @t231)) % 1.31/1.51 (define @t260 () (forall @t7 @t259)) % 1.31/1.51 (define @t261 () (forall @t242 @t260)) % 1.31/1.51 (define @t262 () (forall (@list @t228 @t227 @t1) @t259)) % 1.31/1.51 (define @t263 () (@list @t1 @t228 @t227)) % 1.31/1.51 (define @t264 () (or @t234 @t233 @t232 @t250 @t231)) % 1.31/1.51 (define @t265 () (or @t257 @t256 @t253 @t264)) % 1.31/1.51 (define @t266 () (forall @t263 @t265)) % 1.31/1.51 (define @t267 () (forall @t242 @t265)) % 1.31/1.51 (define @t268 () (forall @t242 @t264)) % 1.31/1.51 (define @t269 () (@var "BOUND_VARIABLE_11293" $$unsorted)) % 1.31/1.51 (define @t270 () (@var "BOUND_VARIABLE_11291" $$unsorted)) % 1.31/1.51 (define @t271 () (@list @t270 @t269)) % 1.31/1.51 (define @t272 () (or @t257 @t256 @t253 @t268)) % 1.31/1.51 (define @t273 () (not (= @t177 @t269))) % 1.31/1.51 (define @t274 () (not (forall @t187 (or @t186 @t185 @t184 @t183 @t182 @t178 @t273)))) % 1.31/1.51 (define @t275 () (not (= @t1 (tptp.app (tptp.app @t270 @t2) @t269)))) % 1.31/1.51 (define @t276 () (not (tptp.ssList @t269))) % 1.31/1.51 (define @t277 () (not (= @t192 @t270))) % 1.31/1.51 (define @t278 () (not (forall @t202 (or @t201 @t200 @t199 @t198 @t197 @t193 @t277)))) % 1.31/1.51 (define @t279 () (not (tptp.ssList @t270))) % 1.31/1.51 (define @t280 () (or @t279 @t278 @t276 @t275 @t274)) % 1.31/1.51 (define @t281 () (@list @t270 @t269)) % 1.31/1.51 (define @t282 () (forall @t281 @t280)) % 1.31/1.51 (define @t283 () (or @t257 @t256 @t253 @t282)) % 1.31/1.51 (define @t284 () (forall @t7 @t283)) % 1.31/1.51 (define @t285 () (or @t215 @t214 @t284)) % 1.31/1.51 (define @t286 () (or @t215 @t214 @t283)) % 1.31/1.51 (define @t287 () (or @t257 @t256 @t215 @t214 @t253 @t282)) % 1.31/1.51 (define @t288 () (or @t256 @t257 @t215 @t214 @t253 @t282)) % 1.31/1.51 (define @t289 () (or @t215 @t214 @t253 @t282)) % 1.31/1.51 (define @t290 () (or @t215 @t214 @t253 @t280)) % 1.31/1.51 (define @t291 () (or @t215 @t214 @t253 @t279 @t278 @t276 @t275 @t274)) % 1.31/1.51 (define @t292 () (not (= @t2 @t2))) % 1.31/1.51 (define @t293 () (or @t215 @t292 @t214 @t253 @t279 @t278 @t276 @t275 @t274)) % 1.31/1.51 (define @t294 () (not (= @t12 @t181))) % 1.31/1.51 (define @t295 () (not (forall @t187 (or @t186 @t185 @t184 @t183 @t294 @t178 @t273)))) % 1.31/1.51 (define @t296 () (not (= @t1 (tptp.app (tptp.app @t270 @t12) @t269)))) % 1.31/1.51 (define @t297 () (not (= @t12 @t196))) % 1.31/1.51 (define @t298 () (not (forall @t202 (or @t201 @t200 @t199 @t198 @t297 @t193 @t277)))) % 1.31/1.51 (define @t299 () (= @t12 tptp.nil)) % 1.31/1.51 (define @t300 () (and @t252 @t299)) % 1.31/1.51 (define @t301 () (not @t15)) % 1.31/1.51 (define @t302 () (or @t163 @t301 @t163 @t154 @t300 @t279 @t298 @t276 @t296 @t295)) % 1.31/1.51 (define @t303 () (or @t301 @t163 @t154 @t300 @t279 @t298 @t276 @t296 @t295)) % 1.31/1.51 (define @t304 () (forall @t16 @t303)) % 1.31/1.51 (define @t305 () (forall @t281 @t304)) % 1.31/1.51 (define @t306 () (forall (@list @t270 @t269 @t12) @t303)) % 1.31/1.51 (define @t307 () (@list @t12 @t270 @t269)) % 1.31/1.51 (define @t308 () (or @t279 @t298 @t276 @t296 @t295)) % 1.31/1.51 (define @t309 () (or @t301 @t163 @t154 @t300 @t308)) % 1.31/1.51 (define @t310 () (forall @t307 @t309)) % 1.31/1.51 (define @t311 () (forall @t281 @t309)) % 1.31/1.51 (define @t312 () (forall @t281 @t308)) % 1.31/1.51 (define @t313 () (@var "BOUND_VARIABLE_11238" $$unsorted)) % 1.31/1.51 (define @t314 () (@var "BOUND_VARIABLE_11236" $$unsorted)) % 1.31/1.51 (define @t315 () (@list @t314 @t313)) % 1.31/1.51 (define @t316 () (or @t301 @t163 @t154 @t300 @t312)) % 1.31/1.51 (define @t317 () (not (forall @t187 (or @t186 @t185 @t184 @t183 @t294 @t178 (not (= @t177 @t313)))))) % 1.31/1.51 (define @t318 () (tptp.app (tptp.app @t314 @t12) @t313)) % 1.31/1.51 (define @t319 () (not (= @t1 @t318))) % 1.31/1.51 (define @t320 () (not (tptp.ssList @t313))) % 1.31/1.51 (define @t321 () (not (forall @t202 (or @t201 @t200 @t199 @t198 @t297 @t193 (not (= @t192 @t314)))))) % 1.31/1.51 (define @t322 () (not (tptp.ssList @t314))) % 1.31/1.51 (define @t323 () (or @t322 @t321 @t320 @t319 @t317)) % 1.31/1.51 (define @t324 () (@list @t314 @t313)) % 1.31/1.51 (define @t325 () (forall @t324 @t323)) % 1.31/1.51 (define @t326 () (or @t301 @t163 @t154 @t300 @t325)) % 1.31/1.51 (define @t327 () (forall @t16 @t326)) % 1.31/1.51 (define @t328 () (or @t256 @t257 @t327)) % 1.31/1.51 (define @t329 () (or @t256 @t257 @t326)) % 1.31/1.51 (define @t330 () (or @t301 @t163 @t256 @t154 @t257 @t300 @t325)) % 1.31/1.51 (define @t331 () (or @t163 @t256 @t154 @t257 @t300 @t325)) % 1.31/1.51 (define @t332 () (or @t257 @t300 @t325)) % 1.31/1.51 (define @t333 () (or @t257 @t300 @t323)) % 1.31/1.51 (define @t334 () (or @t257 @t300 @t322 @t321 @t320 @t319 @t317)) % 1.31/1.51 (define @t335 () (not (= @t1 @t1))) % 1.31/1.51 (define @t336 () (or @t257 @t335 @t300 @t322 @t321 @t320 @t319 @t317)) % 1.31/1.51 (define @t337 () (not (= @t10 @t318))) % 1.31/1.51 (define @t338 () (and (not (= @t10 tptp.nil)) @t299)) % 1.31/1.51 (define @t339 () (not @t13)) % 1.31/1.51 (define @t340 () (or @t164 @t339 @t164 @t338 @t322 @t321 @t320 @t337 @t317)) % 1.31/1.51 (define @t341 () (or @t339 @t164 @t338 @t322 @t321 @t320 @t337 @t317)) % 1.31/1.51 (define @t342 () (forall @t14 @t341)) % 1.31/1.51 (define @t343 () (forall @t324 @t342)) % 1.31/1.51 (define @t344 () (forall (@list @t314 @t313 @t10) @t341)) % 1.31/1.51 (define @t345 () (@list @t10 @t314 @t313)) % 1.31/1.51 (define @t346 () (not (= @t314 @t192))) % 1.31/1.51 (define @t347 () (or @t201 @t200 @t199 @t198 @t297 @t193 @t346)) % 1.31/1.51 (define @t348 () (forall @t202 @t347)) % 1.31/1.51 (define @t349 () (not @t348)) % 1.31/1.51 (define @t350 () (or @t339 @t164 @t338 @t322 @t349 @t320 @t337 @t317)) % 1.31/1.51 (define @t351 () (or @t322 @t349 @t320 @t337 @t317)) % 1.31/1.51 (define @t352 () (or @t339 @t164 @t338 @t351)) % 1.31/1.51 (define @t353 () (forall @t345 @t352)) % 1.31/1.51 (define @t354 () (forall @t324 @t352)) % 1.31/1.51 (define @t355 () (forall @t324 @t351)) % 1.31/1.51 (define @t356 () (@var "BOUND_VARIABLE_11185" $$unsorted)) % 1.31/1.51 (define @t357 () (or @t339 @t164 @t338 @t355)) % 1.31/1.51 (define @t358 () (not (= @t10 (tptp.app @t155 @t356)))) % 1.31/1.51 (define @t359 () (not (tptp.ssList @t356))) % 1.31/1.51 (define @t360 () (not (= @t28 @t192))) % 1.31/1.51 (define @t361 () (or @t201 @t200 @t199 @t198 @t297 @t193 @t360)) % 1.31/1.51 (define @t362 () (not (forall @t202 @t361))) % 1.31/1.51 (define @t363 () (not @t32)) % 1.31/1.51 (define @t364 () (@list @t28 @t356)) % 1.31/1.51 (define @t365 () (forall @t364 (or @t363 @t362 @t359 @t358 (not (forall @t187 (or @t186 @t185 @t184 @t183 @t294 @t178 (not (= @t177 @t356)))))))) % 1.31/1.51 (define @t366 () (or @t339 @t164 @t338 @t365)) % 1.31/1.51 (define @t367 () (forall @t14 @t366)) % 1.31/1.51 (define @t368 () (or @t163 @t256 @t154 @t367)) % 1.31/1.51 (define @t369 () (or @t163 @t256 @t154 @t366)) % 1.31/1.51 (define @t370 () (or @t339 @t164 @t163 @t338 @t256 @t154 @t365)) % 1.31/1.51 (define @t371 () (or @t164 @t163 @t338 @t256 @t154 @t365)) % 1.31/1.51 (define @t372 () (forall @t96 (not @t95))) % 1.31/1.51 (define @t373 () (not @t372)) % 1.31/1.51 (define @t374 () (not (= @t356 @t177))) % 1.31/1.51 (define @t375 () (or @t186 @t185 @t184 @t183 @t294 @t178 @t374)) % 1.31/1.51 (define @t376 () (forall @t187 @t375)) % 1.31/1.51 (define @t377 () (not @t376)) % 1.31/1.51 (define @t378 () (or @t363 @t362 @t359 @t358 @t377)) % 1.31/1.51 (define @t379 () (or @t359 @t358 @t377)) % 1.31/1.51 (define @t380 () (or @t363 @t362 @t379)) % 1.31/1.51 (define @t381 () (forall @t364 @t380)) % 1.31/1.51 (define @t382 () (@list @t356)) % 1.31/1.51 (define @t383 () (forall @t382 @t380)) % 1.31/1.51 (define @t384 () (forall @t382 @t379)) % 1.31/1.51 (define @t385 () (or @t363 @t362 @t384)) % 1.31/1.51 (define @t386 () (not (= @t27 @t177))) % 1.31/1.51 (define @t387 () (or @t186 @t185 @t184 @t183 @t294 @t178 @t386)) % 1.31/1.51 (define @t388 () (not (forall @t187 @t387))) % 1.31/1.51 (define @t389 () (not (= @t10 @t156))) % 1.31/1.51 (define @t390 () (not @t30)) % 1.31/1.51 (define @t391 () (or @t390 @t389 @t388)) % 1.31/1.51 (define @t392 () (forall @t31 @t391)) % 1.31/1.51 (define @t393 () (or @t363 @t362 @t392)) % 1.31/1.51 (define @t394 () (forall @t33 @t393)) % 1.31/1.51 (define @t395 () (or @t154 @t394)) % 1.31/1.51 (define @t396 () (or @t154 @t393)) % 1.31/1.51 (define @t397 () (or @t363 @t154 @t362 @t392)) % 1.31/1.51 (define @t398 () (or @t154 @t362 @t392)) % 1.31/1.51 (define @t399 () (or @t154 @t362 @t391)) % 1.31/1.51 (define @t400 () (or @t390 @t389 @t154 @t362 @t388)) % 1.31/1.51 (define @t401 () (or @t389 @t154 @t362 @t388)) % 1.31/1.51 (define @t402 () (or @t178 @t386)) % 1.31/1.51 (define @t403 () (or @t185 @t184 @t183 @t294)) % 1.31/1.51 (define @t404 () (or @t186 @t403 @t402)) % 1.31/1.51 (define @t405 () (forall @t187 @t404)) % 1.31/1.51 (define @t406 () (forall (@list @t179 @t180 @t176) @t404)) % 1.31/1.51 (define @t407 () (forall (@list @t176) @t402)) % 1.31/1.51 (define @t408 () (forall (@list @t179 @t180) @t403)) % 1.31/1.51 (define @t409 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 1.31/1.51 (define @t410 () (or @t186 @t408 @t407)) % 1.31/1.51 (define @t411 () (= @t27 @t120)) % 1.31/1.51 (define @t412 () (not @t411)) % 1.31/1.51 (define @t413 () (not @t121)) % 1.31/1.51 (define @t414 () (or @t413 @t412)) % 1.31/1.51 (define @t415 () (forall @t123 @t414)) % 1.31/1.51 (define @t416 () (not (= @t12 (tptp.app @t409 @t107)))) % 1.31/1.51 (define @t417 () (not (tptp.ssList @t409))) % 1.31/1.51 (define @t418 () (not @t106)) % 1.31/1.51 (define @t419 () (not @t114)) % 1.31/1.51 (define @t420 () (or @t419 @t418 @t417 @t416)) % 1.31/1.51 (define @t421 () (@list @t105 @t409)) % 1.31/1.51 (define @t422 () (forall @t421 @t420)) % 1.31/1.51 (define @t423 () (or @t186 @t422 @t415)) % 1.31/1.51 (define @t424 () (or @t422 @t415)) % 1.31/1.51 (define @t425 () (not @t424)) % 1.31/1.51 (define @t426 () (and @t125 @t425)) % 1.31/1.51 (define @t427 () (forall @t127 (not @t426))) % 1.31/1.51 (define @t428 () (not @t427)) % 1.31/1.51 (define @t429 () (or @t422 @t414)) % 1.31/1.51 (define @t430 () (or @t413 @t412 @t422)) % 1.31/1.51 (define @t431 () (not @t422)) % 1.31/1.51 (define @t432 () (not @t431)) % 1.31/1.51 (define @t433 () (or @t413 @t412 @t432)) % 1.31/1.51 (define @t434 () (and @t121 @t411 @t431)) % 1.31/1.51 (define @t435 () (forall @t123 (not @t434))) % 1.31/1.51 (define @t436 () (not @t435)) % 1.31/1.51 (define @t437 () (or @t417 @t416)) % 1.31/1.51 (define @t438 () (or @t419 @t418 @t437)) % 1.31/1.51 (define @t439 () (forall @t421 @t438)) % 1.31/1.51 (define @t440 () (@list @t409)) % 1.31/1.51 (define @t441 () (forall @t440 @t438)) % 1.31/1.51 (define @t442 () (forall @t440 @t437)) % 1.31/1.51 (define @t443 () (or @t419 @t418 @t442)) % 1.31/1.51 (define @t444 () (= @t12 @t109)) % 1.31/1.51 (define @t445 () (not @t444)) % 1.31/1.51 (define @t446 () (not @t110)) % 1.31/1.51 (define @t447 () (or @t446 @t445)) % 1.31/1.51 (define @t448 () (forall @t112 @t447)) % 1.31/1.51 (define @t449 () (or @t419 @t418 @t448)) % 1.31/1.51 (define @t450 () (or @t418 @t448)) % 1.31/1.51 (define @t451 () (not @t450)) % 1.31/1.51 (define @t452 () (and @t114 @t451)) % 1.31/1.51 (define @t453 () (forall @t116 (not @t452))) % 1.31/1.51 (define @t454 () (not @t453)) % 1.31/1.51 (define @t455 () (or @t418 @t447)) % 1.31/1.51 (define @t456 () (or @t446 @t445 @t418)) % 1.31/1.51 (define @t457 () (and @t110 @t444 @t106)) % 1.31/1.51 (define @t458 () (forall @t112 (not @t457))) % 1.31/1.51 (define @t459 () (not @t458)) % 1.31/1.51 (define @t460 () (or @t193 @t360)) % 1.31/1.51 (define @t461 () (or @t200 @t199 @t198 @t297)) % 1.31/1.51 (define @t462 () (or @t201 @t461 @t460)) % 1.31/1.51 (define @t463 () (forall @t202 @t462)) % 1.31/1.51 (define @t464 () (forall (@list @t195 @t194 @t191) @t462)) % 1.31/1.51 (define @t465 () (forall (@list @t191) @t460)) % 1.31/1.51 (define @t466 () (forall (@list @t195 @t194) @t461)) % 1.31/1.51 (define @t467 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 1.31/1.51 (define @t468 () (or @t201 @t466 @t465)) % 1.31/1.51 (define @t469 () (= @t28 @t145)) % 1.31/1.51 (define @t470 () (not @t469)) % 1.31/1.51 (define @t471 () (not @t146)) % 1.31/1.51 (define @t472 () (or @t471 @t470)) % 1.31/1.51 (define @t473 () (forall @t148 @t472)) % 1.31/1.51 (define @t474 () (not (= @t12 (tptp.app @t133 @t467)))) % 1.31/1.51 (define @t475 () (not (tptp.ssList @t467))) % 1.31/1.51 (define @t476 () (not @t131)) % 1.31/1.51 (define @t477 () (not @t139)) % 1.31/1.51 (define @t478 () (or @t477 @t476 @t475 @t474)) % 1.31/1.51 (define @t479 () (@list @t129 @t467)) % 1.31/1.51 (define @t480 () (forall @t479 @t478)) % 1.31/1.51 (define @t481 () (or @t201 @t480 @t473)) % 1.31/1.51 (define @t482 () (or @t480 @t473)) % 1.31/1.51 (define @t483 () (not @t482)) % 1.31/1.51 (define @t484 () (and @t150 @t483)) % 1.31/1.51 (define @t485 () (forall @t152 (not @t484))) % 1.31/1.51 (define @t486 () (not @t485)) % 1.31/1.51 (define @t487 () (or @t480 @t472)) % 1.31/1.51 (define @t488 () (or @t471 @t470 @t480)) % 1.31/1.51 (define @t489 () (not @t480)) % 1.31/1.51 (define @t490 () (not @t489)) % 1.31/1.51 (define @t491 () (or @t471 @t470 @t490)) % 1.31/1.51 (define @t492 () (and @t146 @t469 @t489)) % 1.31/1.51 (define @t493 () (forall @t148 (not @t492))) % 1.31/1.51 (define @t494 () (not @t493)) % 1.31/1.51 (define @t495 () (or @t475 @t474)) % 1.31/1.51 (define @t496 () (or @t477 @t476 @t495)) % 1.31/1.51 (define @t497 () (forall @t479 @t496)) % 1.31/1.51 (define @t498 () (@list @t467)) % 1.31/1.51 (define @t499 () (forall @t498 @t496)) % 1.31/1.51 (define @t500 () (forall @t498 @t495)) % 1.31/1.51 (define @t501 () (or @t477 @t476 @t500)) % 1.31/1.51 (define @t502 () (= @t12 @t134)) % 1.31/1.51 (define @t503 () (not @t502)) % 1.31/1.51 (define @t504 () (not @t135)) % 1.31/1.51 (define @t505 () (or @t504 @t503)) % 1.31/1.51 (define @t506 () (forall @t137 @t505)) % 1.31/1.51 (define @t507 () (or @t477 @t476 @t506)) % 1.31/1.51 (define @t508 () (or @t476 @t506)) % 1.31/1.51 (define @t509 () (not @t508)) % 1.31/1.51 (define @t510 () (and @t139 @t509)) % 1.31/1.51 (define @t511 () (forall @t141 (not @t510))) % 1.31/1.51 (define @t512 () (not @t511)) % 1.31/1.51 (define @t513 () (or @t476 @t505)) % 1.31/1.51 (define @t514 () (or @t504 @t503 @t476)) % 1.31/1.51 (define @t515 () (and @t135 @t502 @t131)) % 1.31/1.51 (define @t516 () (forall @t137 (not @t515))) % 1.31/1.51 (define @t517 () (not @t516)) % 1.31/1.51 (define @t518 () (@quantifiers_skolemize @t218 2)) % 1.31/1.51 (define @t519 () (not (= @t177 @t518))) % 1.31/1.51 (define @t520 () (tptp.ssList @t518)) % 1.31/1.51 (define @t521 () (not @t520)) % 1.31/1.51 (define @t522 () (@quantifiers_skolemize @t218 1)) % 1.31/1.51 (define @t523 () (not (= @t192 @t522))) % 1.31/1.51 (define @t524 () (tptp.ssList @t522)) % 1.31/1.51 (define @t525 () (not @t524)) % 1.31/1.51 (define @t526 () (= tptp.nil @t219)) % 1.31/1.51 (define @t527 () (tptp.app @t522 @t219)) % 1.31/1.51 (define @t528 () (tptp.app @t527 @t518)) % 1.31/1.51 (define @t529 () (= tptp.nil @t528)) % 1.31/1.51 (define @t530 () (not @t529)) % 1.31/1.51 (define @t531 () (and @t530 @t526)) % 1.31/1.51 (define @t532 () (forall @t96 (or @t211 @t210 (not (tptp.segmentP @t528 @t90)) (not (tptp.segmentP @t219 @t90))))) % 1.31/1.51 (define @t533 () (not @t532)) % 1.31/1.51 (define @t534 () (tptp.neq @t528 tptp.nil)) % 1.31/1.51 (define @t535 () (not @t534)) % 1.31/1.51 (define @t536 () (or @t535 @t533)) % 1.31/1.51 (define @t537 () (or @t530 @t526)) % 1.31/1.51 (define @t538 () (and @t537 @t536)) % 1.31/1.51 (define @t539 () (tptp.ssList @t528)) % 1.31/1.51 (define @t540 () (not @t539)) % 1.31/1.51 (define @t541 () (not (tptp.strictorderedP @t219))) % 1.31/1.51 (define @t542 () (tptp.ssList @t219)) % 1.31/1.51 (define @t543 () (not @t542)) % 1.31/1.51 (define @t544 () (or @t543 @t541 @t540 @t538 @t531 @t525 (not (forall @t202 (or @t201 @t200 @t199 @t198 (not (= @t196 @t219)) @t193 @t523))) @t521 (not (forall @t187 (or @t186 @t185 @t184 @t183 (not (= @t181 @t219)) @t178 @t519))))) % 1.31/1.51 (define @t545 () (not @t544)) % 1.31/1.51 (define @t546 () (not @t218)) % 1.31/1.51 (define @t547 () (not (= @t219 @t181))) % 1.31/1.51 (define @t548 () (or @t186 @t185 @t184 @t183 @t547 @t178 @t519)) % 1.31/1.51 (define @t549 () (forall @t187 @t548)) % 1.31/1.51 (define @t550 () (not @t549)) % 1.31/1.51 (define @t551 () (not (= @t219 @t196))) % 1.31/1.51 (define @t552 () (or @t201 @t200 @t199 @t198 @t551 @t193 @t523)) % 1.31/1.51 (define @t553 () (forall @t202 @t552)) % 1.31/1.51 (define @t554 () (not @t553)) % 1.31/1.51 (define @t555 () (= @t219 tptp.nil)) % 1.31/1.51 (define @t556 () (and @t530 @t555)) % 1.31/1.51 (define @t557 () (or @t530 @t555)) % 1.31/1.51 (define @t558 () (and @t557 @t536)) % 1.31/1.51 (define @t559 () (or @t543 @t541 @t540 @t558 @t556 @t525 @t554 @t521 @t550)) % 1.31/1.51 (define @t560 () (not @t559)) % 1.31/1.51 (define @t561 () (@list true)) % 1.31/1.51 (define @t562 () (@list @t544)) % 1.31/1.51 (define @t563 () (tptp.segmentP @t219 tptp.nil)) % 1.31/1.51 (define @t564 () (or @t543 @t563)) % 1.31/1.51 (define @t565 () (@list false false)) % 1.31/1.51 (define @t566 () (not @t530)) % 1.31/1.51 (define @t567 () (not @t526)) % 1.31/1.51 (define @t568 () (@var "BOUND_VARIABLE_9169" $$unsorted)) % 1.31/1.51 (define @t569 () (= (tptp.neq @t2 @t568) (not (= @t2 @t568)))) % 1.31/1.51 (define @t570 () (not (tptp.ssList @t568))) % 1.31/1.51 (define @t571 () (or @t215 @t570 @t569)) % 1.31/1.51 (define @t572 () (or @t570 @t569)) % 1.31/1.51 (define @t573 () (or @t215 @t572)) % 1.31/1.51 (define @t574 () (@list @t2 @t568)) % 1.31/1.51 (define @t575 () (forall @t574 @t573)) % 1.31/1.51 (define @t576 () (@list @t568)) % 1.31/1.51 (define @t577 () (forall @t576 @t573)) % 1.31/1.51 (define @t578 () (forall @t576 @t572)) % 1.31/1.51 (define @t579 () (@list @t1)) % 1.31/1.51 (define @t580 () (or @t215 @t578)) % 1.31/1.51 (define @t581 () (forall @t7 (or @t257 @t5))) % 1.31/1.51 (define @t582 () (tptp.neq @t219 tptp.nil)) % 1.31/1.51 (define @t583 () (not @t555)) % 1.31/1.51 (define @t584 () (= @t582 @t583)) % 1.31/1.51 (define @t585 () (not @t42)) % 1.31/1.51 (define @t586 () (or @t543 @t585 @t584)) % 1.31/1.51 (define @t587 () (forall @t574 @t571)) % 1.31/1.51 (define @t588 () (= @t567 @t582)) % 1.31/1.51 (define @t589 () (or @t543 @t585 @t588)) % 1.31/1.51 (define @t590 () (@list false)) % 1.31/1.51 (define @t591 () (@list false false false)) % 1.31/1.51 (define @t592 () (not @t588)) % 1.31/1.51 (define @t593 () (@var "BOUND_VARIABLE_10268" $$unsorted)) % 1.31/1.51 (define @t594 () (@var "BOUND_VARIABLE_10272" $$unsorted)) % 1.31/1.51 (define @t595 () (@var "BOUND_VARIABLE_10270" $$unsorted)) % 1.31/1.51 (define @t596 () (tptp.segmentP (tptp.app (tptp.app @t595 @t2) @t594) @t593)) % 1.31/1.51 (define @t597 () (not (tptp.ssList @t594))) % 1.31/1.51 (define @t598 () (not (tptp.ssList @t595))) % 1.31/1.51 (define @t599 () (not (tptp.segmentP @t2 @t593))) % 1.31/1.51 (define @t600 () (not (tptp.ssList @t593))) % 1.31/1.51 (define @t601 () (or @t600 @t599 @t598 @t597 @t596)) % 1.31/1.51 (define @t602 () (or @t215 @t601)) % 1.31/1.51 (define @t603 () (forall (@list @t2 @t593 @t595 @t594) @t602)) % 1.31/1.51 (define @t604 () (@list @t593 @t595 @t594)) % 1.31/1.51 (define @t605 () (forall @t604 @t602)) % 1.31/1.51 (define @t606 () (forall @t604 @t601)) % 1.31/1.51 (define @t607 () (@var "BOUND_VARIABLE_10249" $$unsorted)) % 1.31/1.51 (define @t608 () (@var "BOUND_VARIABLE_10247" $$unsorted)) % 1.31/1.51 (define @t609 () (or @t215 @t606)) % 1.31/1.51 (define @t610 () (tptp.segmentP (tptp.app (tptp.app @t608 @t2) @t607) @t1)) % 1.31/1.51 (define @t611 () (not (tptp.ssList @t607))) % 1.31/1.51 (define @t612 () (not (tptp.ssList @t608))) % 1.31/1.51 (define @t613 () (not @t24)) % 1.31/1.51 (define @t614 () (or @t257 @t613 @t612 @t611 @t610)) % 1.31/1.51 (define @t615 () (@list @t1 @t608 @t607)) % 1.31/1.51 (define @t616 () (forall @t615 @t614)) % 1.31/1.51 (define @t617 () (or @t612 @t611 @t610)) % 1.31/1.51 (define @t618 () (or @t257 @t613 @t617)) % 1.31/1.51 (define @t619 () (forall @t615 @t618)) % 1.31/1.51 (define @t620 () (@list @t608 @t607)) % 1.31/1.51 (define @t621 () (forall @t620 @t618)) % 1.31/1.51 (define @t622 () (forall @t620 @t617)) % 1.31/1.51 (define @t623 () (@var "BOUND_VARIABLE_10230" $$unsorted)) % 1.31/1.51 (define @t624 () (or @t257 @t613 @t622)) % 1.31/1.51 (define @t625 () (tptp.segmentP (tptp.app @t63 @t623) @t1)) % 1.31/1.51 (define @t626 () (not (tptp.ssList @t623))) % 1.31/1.51 (define @t627 () (or @t301 @t626 @t625)) % 1.31/1.51 (define @t628 () (@list @t12 @t623)) % 1.31/1.51 (define @t629 () (forall @t628 @t627)) % 1.31/1.51 (define @t630 () (or @t257 @t613 @t629)) % 1.31/1.51 (define @t631 () (or @t613 @t629)) % 1.31/1.51 (define @t632 () (or @t626 @t625)) % 1.31/1.51 (define @t633 () (or @t301 @t632)) % 1.31/1.51 (define @t634 () (forall @t628 @t633)) % 1.31/1.51 (define @t635 () (@list @t623)) % 1.31/1.51 (define @t636 () (forall @t635 @t633)) % 1.31/1.51 (define @t637 () (forall @t635 @t632)) % 1.31/1.51 (define @t638 () (or @t301 @t637)) % 1.31/1.51 (define @t639 () (or @t339 @t66)) % 1.31/1.51 (define @t640 () (forall @t14 @t639)) % 1.31/1.51 (define @t641 () (or @t301 @t640)) % 1.31/1.51 (define @t642 () (forall @t16 @t641)) % 1.31/1.51 (define @t643 () (or @t613 @t642)) % 1.31/1.51 (define @t644 () (or @t613 @t641)) % 1.31/1.51 (define @t645 () (or @t301 @t613 @t640)) % 1.31/1.51 (define @t646 () (or @t613 @t640)) % 1.31/1.51 (define @t647 () (or @t613 @t639)) % 1.31/1.51 (define @t648 () (or @t339 @t613 @t66)) % 1.31/1.51 (define @t649 () (tptp.segmentP @t219 @t219)) % 1.31/1.51 (define @t650 () (or @t543 @t649)) % 1.31/1.51 (define @t651 () (tptp.segmentP @t528 @t219)) % 1.31/1.51 (define @t652 () (not @t649)) % 1.31/1.51 (define @t653 () (or @t543 @t543 @t652 @t525 @t521 @t651)) % 1.31/1.51 (define @t654 () (not @t651)) % 1.31/1.51 (define @t655 () (not @t582)) % 1.31/1.51 (define @t656 () (or @t543 @t655 @t654 @t652)) % 1.31/1.51 (define @t657 () (@var "BOUND_VARIABLE_10662" $$unsorted)) % 1.31/1.51 (define @t658 () (and (= @t657 tptp.nil) @t205)) % 1.31/1.51 (define @t659 () (= tptp.nil (tptp.app @t2 @t657))) % 1.31/1.51 (define @t660 () (= @t659 @t658)) % 1.31/1.51 (define @t661 () (not (tptp.ssList @t657))) % 1.31/1.51 (define @t662 () (or @t215 @t661 @t660)) % 1.31/1.51 (define @t663 () (or @t661 @t660)) % 1.31/1.51 (define @t664 () (or @t215 @t663)) % 1.31/1.51 (define @t665 () (@list @t2 @t657)) % 1.31/1.51 (define @t666 () (forall @t665 @t664)) % 1.31/1.51 (define @t667 () (@list @t657)) % 1.31/1.51 (define @t668 () (forall @t667 @t664)) % 1.31/1.51 (define @t669 () (forall @t667 @t663)) % 1.31/1.51 (define @t670 () (or @t215 @t669)) % 1.31/1.51 (define @t671 () (= @t84 (and @t251 @t205))) % 1.31/1.51 (define @t672 () (forall @t7 (or @t257 @t671))) % 1.31/1.51 (define @t673 () (and @t526 (= @t522 tptp.nil))) % 1.31/1.51 (define @t674 () (= tptp.nil @t527)) % 1.31/1.51 (define @t675 () (= @t674 @t673)) % 1.31/1.51 (define @t676 () (or @t525 @t543 @t675)) % 1.31/1.51 (define @t677 () (forall @t665 (or @t215 @t661 (= @t659 (and (= tptp.nil @t657) @t205))))) % 1.31/1.51 (define @t678 () (@list @t522 @t219)) % 1.31/1.51 (define @t679 () (and @t526 (= tptp.nil @t522))) % 1.31/1.51 (define @t680 () (= @t674 @t679)) % 1.31/1.51 (define @t681 () (or @t525 @t543 @t680)) % 1.31/1.51 (define @t682 () (@list @t677)) % 1.31/1.51 (define @t683 () (= tptp.nil @t518)) % 1.31/1.51 (define @t684 () (and @t683 (= @t527 tptp.nil))) % 1.31/1.51 (define @t685 () (= @t529 @t684)) % 1.31/1.51 (define @t686 () (tptp.ssList @t527)) % 1.31/1.51 (define @t687 () (not @t686)) % 1.31/1.51 (define @t688 () (or @t687 @t521 @t685)) % 1.31/1.51 (define @t689 () (and @t683 @t674)) % 1.31/1.51 (define @t690 () (= @t529 @t689)) % 1.31/1.51 (define @t691 () (or @t687 @t521 @t690)) % 1.31/1.51 (define @t692 () (@var "BOUND_VARIABLE_9434" $$unsorted)) % 1.31/1.51 (define @t693 () (tptp.ssList (tptp.app @t2 @t692))) % 1.31/1.51 (define @t694 () (not (tptp.ssList @t692))) % 1.31/1.51 (define @t695 () (or @t694 @t693)) % 1.31/1.51 (define @t696 () (or @t215 @t695)) % 1.31/1.51 (define @t697 () (forall (@list @t2 @t692) @t696)) % 1.31/1.51 (define @t698 () (@list @t692)) % 1.31/1.51 (define @t699 () (forall @t698 @t696)) % 1.31/1.51 (define @t700 () (forall @t698 @t695)) % 1.31/1.51 (define @t701 () (or @t215 @t700)) % 1.31/1.51 (define @t702 () (forall @t7 (or @t257 @t50))) % 1.31/1.51 (define @t703 () (or @t525 @t543 @t686)) % 1.31/1.51 (define @t704 () (@list @t536)) % 1.31/1.51 (define @t705 () (@list @t528)) % 1.31/1.51 (define @t706 () (tptp.segmentP @t219 @t528)) % 1.31/1.51 (define @t707 () (not @t706)) % 1.31/1.51 (define @t708 () (tptp.segmentP @t528 @t528)) % 1.31/1.51 (define @t709 () (not @t708)) % 1.31/1.51 (define @t710 () (or @t540 @t535 @t709 @t707)) % 1.31/1.51 (define @t711 () (or @t540 @t708)) % 1.31/1.51 (define @t712 () (and @t529 @t563)) % 1.31/1.51 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.31/1.51 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.31/1.51 (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))))))))))) % 1.31/1.51 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.31/1.51 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.31/1.51 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.31/1.51 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.31/1.51 (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))))))))))))))))) % 1.31/1.51 (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)))))))))))))))) % 1.31/1.51 (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))))))))))))))))) % 1.31/1.51 (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))))))))))))))) % 1.31/1.51 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 1.31/1.51 (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 @t37)))))))))))))))) % 1.31/1.51 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t37))))))))))))) % 1.31/1.51 (assume @p15 @t40) % 1.31/1.51 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 1.31/1.51 (assume @p17 @t42) % 1.31/1.51 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 1.31/1.51 (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) @t43))))))))))) % 1.31/1.51 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 1.31/1.51 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 1.31/1.51 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 1.31/1.51 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 1.31/1.51 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 1.31/1.51 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 1.31/1.51 (assume @p26 @t53) % 1.31/1.51 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t54) (tptp.app @t44 @t2))))))))) % 1.31/1.51 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.31/1.51 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 @t55) @t3)))))) % 1.31/1.51 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t26) (tptp.leq @t2 @t12))))))))) % 1.31/1.51 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.31/1.51 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t55)))))) % 1.31/1.51 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not @t58))))))) % 1.31/1.51 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t35) @t60)))))))) % 1.31/1.51 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t58)))))) % 1.31/1.51 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t62))))))))) % 1.31/1.51 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t62))))))))) % 1.31/1.51 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.31/1.51 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.31/1.51 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.31/1.51 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.31/1.51 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.31/1.51 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.31/1.51 (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)))))))))))) % 1.31/1.51 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.31/1.51 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 1.31/1.51 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.31/1.51 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.31/1.51 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.31/1.51 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t63 @t1))))))))) % 1.31/1.51 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.31/1.51 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 1.31/1.51 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.31/1.51 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.31/1.51 (assume @p55 @t65) % 1.31/1.51 (assume @p56 @t74) % 1.31/1.51 (assume @p57 @t76) % 1.31/1.51 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 1.31/1.51 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 1.31/1.51 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.31/1.51 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 1.31/1.51 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.31/1.51 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 1.31/1.51 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.31/1.51 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 1.31/1.51 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.31/1.51 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 1.31/1.51 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 1.31/1.51 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.31/1.51 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 1.31/1.51 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 1.31/1.51 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.31/1.51 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 1.31/1.51 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.31/1.51 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 1.31/1.51 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 1.31/1.51 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t80 @t47 (= @t78 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 1.31/1.51 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 1.31/1.51 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t82)))))))) % 1.31/1.51 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t54) @t82)))))))) % 1.31/1.51 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 1.31/1.51 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 1.31/1.51 (assume @p83 @t89) % 1.31/1.51 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.31/1.51 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 1.31/1.51 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 1.31/1.51 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 (tptp.geq @t1 @t2)) @t3)))))) % 1.31/1.51 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.31/1.51 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.31/1.51 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.31/1.51 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t35) @t60)))))))) % 1.31/1.51 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (or @t3 @t59))))))) % 1.31/1.51 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 (and @t4 @t56))))))) % 1.31/1.51 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not (tptp.gt @t1 @t2)))))))) % 1.31/1.51 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.31/1.51 (assume @p96 @t174) % 1.31/1.51 (assume @p97 true) % 1.31/1.51 (step @p98 :rule bool-impl-elim :args (@t17 @t75)) % 1.31/1.51 (step @p99 :rule cong :premises (@p98) :args (@t76)) % 1.31/1.51 (step @p100 :rule eq_resolve :premises (@p57 @p99)) % 1.31/1.51 (step @p101 :rule instantiate :premises (@p100) :args (@t220)) % 1.31/1.51 (step @p102 :rule aci_norm :args ((= @t222 @t216))) % 1.31/1.51 (step @p103 :rule cong :premises (@p102) :args (@t223)) % 1.31/1.51 (step @p104 :rule quant-merge-prenex :args ((= (forall @t9 @t225) @t223))) % 1.31/1.51 (step @p105 :rule alpha_equiv :args (@t226 (@list @t190 @t175) @t229)) % 1.31/1.51 (step @p106 :rule refl :args (@t214)) % 1.31/1.51 (step @p107 :rule refl :args (@t215)) % 1.31/1.51 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t230)) % 1.31/1.51 (step @p109 :rule quant-miniscope-or :args ((= @t225 @t230))) % 1.31/1.51 (step @p110 :rule trans :premises (@p109 @p108)) % 1.31/1.51 (step @p111 :rule symm :premises (@p110)) % 1.31/1.51 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 @t243))) % 1.31/1.51 (step @p113 :rule trans :premises (@p112 @p104)) % 1.31/1.51 (step @p114 :rule trans :premises (@p113 @p103)) % 1.31/1.51 (step @p115 :rule aci_norm :args ((= (or @t215 @t243) @t243))) % 1.31/1.51 (step @p116 :rule bool-impl-elim :args (@t17 @t243)) % 1.31/1.51 (step @p117 :rule trans :premises (@p116 @p115)) % 1.31/1.51 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 (=> @t17 @t243)))) % 1.31/1.51 (step @p119 :rule trans :premises (@p118 @p114)) % 1.31/1.51 (step @p120 :rule aci_norm :args ((= (or @t240 @t239 @t237 @t234 @t233 @t232 false @t231) @t241))) % 1.31/1.51 (step @p121 :rule refl :args (@t231)) % 1.31/1.51 (step @p122 :rule evaluate :args ((not true))) % 1.31/1.51 (step @p123 :rule eq-refl :args (@t235)) % 1.31/1.51 (step @p124 :rule cong :premises (@p123) :args (@t244)) % 1.31/1.51 (step @p125 :rule trans :premises (@p124 @p122)) % 1.31/1.51 (step @p126 :rule refl :args (@t232)) % 1.31/1.51 (step @p127 :rule refl :args (@t233)) % 1.31/1.51 (step @p128 :rule refl :args (@t234)) % 1.31/1.51 (step @p129 :rule refl :args (@t205)) % 1.31/1.51 (step @p130 :rule eq-symm :args (@t235 tptp.nil)) % 1.31/1.51 (step @p131 :rule cong :premises (@p130) :args (@t245)) % 1.31/1.51 (step @p132 :rule nary_cong :premises (@p131 @p129) :args (@t246)) % 1.31/1.51 (step @p133 :rule refl :args (@t238)) % 1.31/1.51 (step @p134 :rule nary_cong :premises (@p131 @p129) :args (@t247)) % 1.31/1.51 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t248)) % 1.31/1.51 (step @p136 :rule refl :args (@t240)) % 1.31/1.51 (step @p137 :rule nary_cong :premises (@p136 @p135 @p132 @p128 @p127 @p126 @p125 @p121) :args (@t249)) % 1.31/1.51 (step @p138 :rule trans :premises (@p137 @p120)) % 1.31/1.51 (step @p139 :rule cong :premises (@p138) :args ((forall @t242 @t249))) % 1.31/1.51 (step @p140 :rule quant-var-elim-eq :args ((= (forall @t7 @t258) @t249))) % 1.31/1.51 (step @p141 :rule aci_norm :args ((= @t259 @t258))) % 1.31/1.51 (step @p142 :rule cong :premises (@p141) :args (@t260)) % 1.31/1.51 (step @p143 :rule trans :premises (@p142 @p140)) % 1.31/1.51 (step @p144 :rule cong :premises (@p143) :args (@t261)) % 1.31/1.51 (step @p145 :rule quant-merge-prenex :args ((= @t261 @t262))) % 1.31/1.51 (step @p146 :rule symm :premises (@p145)) % 1.31/1.51 (step @p147 :rule quant_var_reordering :args ((= (forall @t263 @t259) @t262))) % 1.31/1.51 (step @p148 :rule trans :premises (@p147 @p146 @p144)) % 1.31/1.51 (step @p149 :rule trans :premises (@p148 @p139)) % 1.31/1.51 (step @p150 :rule aci_norm :args ((= @t265 @t259))) % 1.31/1.51 (step @p151 :rule cong :premises (@p150) :args (@t266)) % 1.31/1.51 (step @p152 :rule trans :premises (@p151 @p149)) % 1.31/1.51 (step @p153 :rule quant-merge-prenex :args ((= (forall @t7 @t267) @t266))) % 1.31/1.51 (step @p154 :rule alpha_equiv :args (@t268 @t229 @t271)) % 1.31/1.51 (step @p155 :rule refl :args (@t253)) % 1.31/1.51 (step @p156 :rule refl :args (@t256)) % 1.31/1.51 (step @p157 :rule refl :args (@t257)) % 1.31/1.51 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154) :args (@t272)) % 1.31/1.51 (step @p159 :rule quant-miniscope-or :args ((= @t267 @t272))) % 1.31/1.51 (step @p160 :rule trans :premises (@p159 @p158)) % 1.31/1.51 (step @p161 :rule symm :premises (@p160)) % 1.31/1.51 (step @p162 :rule cong :premises (@p161) :args (@t284)) % 1.31/1.51 (step @p163 :rule trans :premises (@p162 @p153)) % 1.31/1.51 (step @p164 :rule trans :premises (@p163 @p152)) % 1.31/1.51 (step @p165 :rule refl :args (@t214)) % 1.31/1.51 (step @p166 :rule refl :args (@t215)) % 1.31/1.51 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t285)) % 1.31/1.51 (step @p168 :rule quant-miniscope-or :args ((= (forall @t7 @t286) @t285))) % 1.31/1.51 (step @p169 :rule aci_norm :args ((= @t287 @t286))) % 1.31/1.51 (step @p170 :rule cong :premises (@p169) :args ((forall @t7 @t287))) % 1.31/1.51 (step @p171 :rule trans :premises (@p170 @p168)) % 1.31/1.51 (step @p172 :rule trans :premises (@p171 @p167)) % 1.31/1.51 (step @p173 :rule aci_norm :args ((= (or @t257 @t288) @t287))) % 1.31/1.51 (step @p174 :rule bool-impl-elim :args (@t21 @t288)) % 1.31/1.51 (step @p175 :rule trans :premises (@p174 @p173)) % 1.31/1.51 (step @p176 :rule cong :premises (@p175) :args ((forall @t7 (=> @t21 @t288)))) % 1.31/1.51 (step @p177 :rule trans :premises (@p176 @p172)) % 1.31/1.51 (step @p178 :rule aci_norm :args ((= (or @t256 @t257 @t289) @t288))) % 1.31/1.51 (step @p179 :rule quant-miniscope-or :args ((= (forall @t281 @t290) @t289))) % 1.31/1.51 (step @p180 :rule aci_norm :args ((= @t291 @t290))) % 1.31/1.51 (step @p181 :rule cong :premises (@p180) :args ((forall @t281 @t291))) % 1.31/1.51 (step @p182 :rule trans :premises (@p181 @p179)) % 1.31/1.51 (step @p183 :rule aci_norm :args ((= (or @t215 false @t214 @t253 @t279 @t278 @t276 @t275 @t274) @t291))) % 1.31/1.51 (step @p184 :rule refl :args (@t274)) % 1.31/1.51 (step @p185 :rule refl :args (@t275)) % 1.31/1.51 (step @p186 :rule refl :args (@t276)) % 1.31/1.51 (step @p187 :rule refl :args (@t278)) % 1.31/1.51 (step @p188 :rule refl :args (@t279)) % 1.31/1.51 (step @p189 :rule refl :args (@t253)) % 1.31/1.51 (step @p190 :rule eq-refl :args (@t2)) % 1.31/1.51 (step @p191 :rule cong :premises (@p190) :args (@t292)) % 1.31/1.51 (step @p192 :rule trans :premises (@p191 @p122)) % 1.31/1.51 (step @p193 :rule nary_cong :premises (@p166 @p192 @p165 @p189 @p188 @p187 @p186 @p185 @p184) :args (@t293)) % 1.31/1.51 (step @p194 :rule trans :premises (@p193 @p183)) % 1.31/1.51 (step @p195 :rule cong :premises (@p194) :args ((forall @t281 @t293))) % 1.31/1.51 (step @p196 :rule trans :premises (@p195 @p182)) % 1.31/1.51 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t82) @t301 @t163 @t154 @t300 @t279 @t298 @t276 @t296 @t295)) @t293))) % 1.31/1.51 (step @p198 :rule refl :args (@t295)) % 1.31/1.51 (step @p199 :rule refl :args (@t296)) % 1.31/1.51 (step @p200 :rule refl :args (@t276)) % 1.31/1.51 (step @p201 :rule refl :args (@t298)) % 1.31/1.51 (step @p202 :rule refl :args (@t279)) % 1.31/1.51 (step @p203 :rule refl :args 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:rule bool-impl-elim :args (@t21 @t671)) % 1.31/1.51 (step @p889 :rule cong :premises (@p888) :args ((forall @t7 (=> @t21 @t671)))) % 1.31/1.51 (step @p890 :rule nary_cong :premises (@p349 @p348) :args (@t83)) % 1.31/1.51 (step @p891 :rule refl :args (@t84)) % 1.31/1.51 (step @p892 :rule cong :premises (@p891 @p890) :args (@t85)) % 1.31/1.51 (step @p893 :rule cong :premises (@p634 @p892) :args (@t86)) % 1.31/1.51 (step @p894 :rule cong :premises (@p893) :args (@t87)) % 1.31/1.51 (step @p895 :rule trans :premises (@p894 @p889)) % 1.31/1.51 (step @p896 :rule cong :premises (@p638 @p895) :args (@t88)) % 1.31/1.51 (step @p897 :rule cong :premises (@p896) :args (@t89)) % 1.31/1.51 (step @p898 :rule trans :premises (@p897 @p887)) % 1.31/1.51 (step @p899 :rule eq_resolve :premises (@p83 @p898)) % 1.31/1.51 (step @p900 :rule eq-symm :args (@t522 tptp.nil)) % 1.31/1.51 (step @p901 :rule refl :args (@t526)) % 1.31/1.51 (step @p902 :rule nary_cong :premises (@p901 @p900) :args (@t673)) % 1.31/1.51 (step @p903 :rule refl :args (@t674)) % 1.31/1.51 (step @p904 :rule cong :premises (@p903 @p902) :args (@t675)) % 1.31/1.51 (step @p905 :rule nary_cong :premises (@p660 @p669 @p904) :args (@t676)) % 1.31/1.51 (step @p906 :rule refl :args (@t677)) % 1.31/1.51 (step @p907 :rule cong :premises (@p906 @p905) :args ((=> @t677 @t676))) % 1.31/1.51 (assume-push @p1029 @t677) % 1.31/1.51 (step @p909 :rule instantiate :premises (@p899) :args (@t678)) % 1.31/1.51 (step-pop @p1030 :rule scope :premises (@p909)) % 1.31/1.51 (step @p910 :rule process_scope :premises (@p1030) :args (@t676)) % 1.31/1.51 (step @p912 :rule eq_resolve :premises (@p910 @p907)) % 1.31/1.51 (step @p913 :rule implies_elim :premises (@p912)) % 1.31/1.51 (step @p914 :rule chain_m_resolution :premises (@p913 @p899) :args (@t681 @t590 @t682)) % 1.31/1.51 (step @p915 :rule cnf_or_pos :args (@t681)) % 1.31/1.51 (step @p916 :rule reordering :premises (@p915) :args ((or @t543 @t525 @t680 (not @t681)))) % 1.31/1.51 (step @p917 :rule chain_m_resolution :premises (@p916 @p688 @p854 @p914) :args (@t680 @t591 (@list @t542 @t524 @t681))) % 1.31/1.51 (step @p918 :rule eq-symm :args (@t527 tptp.nil)) % 1.31/1.51 (step @p919 :rule refl :args (@t683)) % 1.31/1.51 (step @p920 :rule nary_cong :premises (@p919 @p918) :args (@t684)) % 1.31/1.51 (step @p921 :rule refl :args (@t529)) % 1.31/1.51 (step @p922 :rule cong :premises (@p921 @p920) :args (@t685)) % 1.31/1.51 (step @p923 :rule refl :args (@t687)) % 1.31/1.51 (step @p924 :rule nary_cong :premises (@p923 @p653 @p922) :args (@t688)) % 1.31/1.51 (step @p925 :rule cong :premises (@p906 @p924) :args ((=> @t677 @t688))) % 1.31/1.51 (assume-push @p1031 @t677) % 1.31/1.51 (step @p927 :rule instantiate :premises (@p899) :args ((@list @t527 @t518))) % 1.31/1.51 (step-pop @p1032 :rule scope :premises (@p927)) % 1.31/1.51 (step @p928 :rule process_scope :premises (@p1032) :args (@t688)) % 1.31/1.51 (step @p930 :rule eq_resolve :premises (@p928 @p925)) % 1.31/1.51 (step @p931 :rule implies_elim :premises (@p930)) % 1.31/1.51 (step @p932 :rule chain_m_resolution :premises (@p931 @p899) :args (@t691 @t590 @t682)) % 1.31/1.51 (step @p933 :rule aci_norm :args ((= @t696 (or @t215 @t694 @t693)))) % 1.31/1.51 (step @p934 :rule cong :premises (@p933) :args (@t697)) % 1.31/1.51 (step @p935 :rule quant-merge-prenex :args ((= (forall @t9 @t699) @t697))) % 1.31/1.51 (step @p936 :rule alpha_equiv :args (@t700 (@list @t692) @t579)) % 1.31/1.51 (step @p937 :rule nary_cong :premises (@p107 @p936) :args (@t701)) % 1.31/1.51 (step @p938 :rule quant-miniscope-or :args ((= @t699 @t701))) % 1.31/1.51 (step @p939 :rule trans :premises (@p938 @p937)) % 1.31/1.51 (step @p940 :rule symm :premises (@p939)) % 1.31/1.51 (step @p941 :rule cong :premises (@p940) :args ((forall @t9 (or @t215 @t702)))) % 1.31/1.51 (step @p942 :rule trans :premises (@p941 @p935)) % 1.31/1.51 (step @p943 :rule trans :premises (@p942 @p934)) % 1.31/1.51 (step @p944 :rule bool-impl-elim :args (@t17 @t702)) % 1.31/1.51 (step @p945 :rule cong :premises (@p944) :args ((forall @t9 (=> @t17 @t702)))) % 1.31/1.51 (step @p946 :rule trans :premises (@p945 @p943)) % 1.31/1.51 (step @p947 :rule bool-impl-elim :args (@t21 @t50)) % 1.31/1.51 (step @p948 :rule cong :premises (@p947) :args (@t51)) % 1.31/1.51 (step @p949 :rule cong :premises (@p638 @p948) :args (@t52)) % 1.31/1.51 (step @p950 :rule cong :premises (@p949) :args (@t53)) % 1.31/1.51 (step @p951 :rule trans :premises (@p950 @p946)) % 1.31/1.51 (step @p952 :rule eq_resolve :premises (@p26 @p951)) % 1.31/1.51 (step @p953 :rule instantiate :premises (@p952) :args (@t678)) % 1.31/1.51 (step @p954 :rule cnf_or_pos :args (@t703)) % 1.31/1.51 (step @p955 :rule reordering :premises (@p954) :args ((or @t543 @t525 @t686 (not @t703)))) % 1.31/1.51 (step @p956 :rule chain_m_resolution :premises (@p955 @p688 @p854 @p953) :args (@t686 @t591 (@list @t542 @t524 @t703))) % 1.31/1.51 (step @p957 :rule cnf_or_pos :args (@t691)) % 1.31/1.51 (step @p958 :rule reordering :premises (@p957) :args ((or @t521 @t687 @t690 (not @t691)))) % 1.31/1.51 (step @p959 :rule chain_m_resolution :premises (@p958 @p848 @p956 @p932) :args (@t690 @t591 (@list @t520 @t686 @t691))) % 1.31/1.51 (step @p960 :rule cnf_equiv_pos1 :args (@t690)) % 1.31/1.51 (step @p961 :rule reordering :premises (@p960) :args ((or @t530 @t689 (not @t690)))) % 1.31/1.51 (step @p962 :rule chain_m_resolution :premises (@p961 @p866 @p959) :args (@t689 @t565 (@list @t529 @t690))) % 1.31/1.51 (step @p963 :rule cnf_and_pos :args (@t689 1)) % 1.31/1.51 (step @p964 :rule reordering :premises (@p963) :args ((or @t674 (not @t689)))) % 1.31/1.51 (step @p965 :rule chain_m_resolution :premises (@p964 @p962) :args (@t674 @t590 (@list @t689))) % 1.31/1.51 (step @p966 :rule cnf_equiv_pos1 :args (@t680)) % 1.31/1.51 (step @p967 :rule reordering :premises (@p966) :args ((or @t679 (not @t674) (not @t680)))) % 1.31/1.51 (step @p968 :rule chain_m_resolution :premises (@p967 @p965 @p917) :args (@t679 @t565 (@list @t674 @t680))) % 1.31/1.51 (step @p969 :rule cnf_and_pos :args (@t679 0)) % 1.31/1.51 (step @p970 :rule reordering :premises (@p969) :args ((or @t526 (not @t679)))) % 1.31/1.51 (step @p971 :rule chain_m_resolution :premises (@p970 @p968) :args (@t526 @t590 (@list @t679))) % 1.31/1.51 (step @p972 :rule cnf_or_neg :args (@t537 1)) % 1.31/1.51 (step @p973 :rule chain_m_resolution :premises (@p972 @p971) :args (@t537 @t590 (@list @t526))) % 1.31/1.51 (step @p974 :rule chain_m_resolution :premises (@p708 @p707 @p973) :args ((not @t536) (@list true false) (@list @t538 @t537))) % 1.31/1.51 (step @p975 :rule chain_m_resolution :premises (@p758 @p974) :args (@t532 @t561 @t704)) % 1.31/1.51 (assume-push @p1033 @t532) % 1.31/1.51 (step @p977 :rule instantiate :premises (@p1033) :args (@t705)) % 1.31/1.51 (step-pop @p1034 :rule scope :premises (@p977)) % 1.31/1.51 (step @p978 :rule process_scope :premises (@p1034) :args (@t710)) % 1.31/1.51 (step @p980 :rule implies_elim :premises (@p978)) % 1.31/1.51 (step @p981 :rule chain_m_resolution :premises (@p980 @p975) :args (@t710 @t590 (@list @t532))) % 1.31/1.51 (step @p982 :rule instantiate :premises (@p838) :args (@t705)) % 1.31/1.51 (step @p983 :rule bool-double-not-elim :args (@t539)) % 1.31/1.51 (step @p984 :rule nary_cong :premises (@p683 @p983) :args ((or @t544 (not @t540)))) % 1.31/1.51 (step @p985 :rule cnf_or_neg :args (@t544 2)) % 1.31/1.51 (step @p986 :rule eq_resolve :premises (@p985 @p984)) % 1.31/1.51 (step @p987 :rule reordering :premises (@p986) :args ((or @t539 @t544))) % 1.31/1.51 (step @p988 :rule chain_m_resolution :premises (@p987 @p681) :args (@t539 @t561 @t562)) % 1.31/1.51 (step @p989 :rule cnf_or_pos :args (@t711)) % 1.31/1.51 (step @p990 :rule reordering :premises (@p989) :args ((or @t540 @t708 (not @t711)))) % 1.31/1.51 (step @p991 :rule chain_m_resolution :premises (@p990 @p988 @p982) :args (@t708 @t565 (@list @t539 @t711))) % 1.31/1.51 (step @p992 :rule bool-double-not-elim :args (@t534)) % 1.31/1.51 (step @p993 :rule nary_cong :premises (@p664 @p992) :args ((or @t536 (not @t535)))) % 1.31/1.51 (step @p994 :rule cnf_or_neg :args (@t536 0)) % 1.31/1.51 (step @p995 :rule eq_resolve :premises (@p994 @p993)) % 1.31/1.51 (step @p996 :rule reordering :premises (@p995) :args ((or @t534 @t536))) % 1.31/1.51 (step @p997 :rule chain_m_resolution :premises (@p996 @p974) :args (@t534 @t561 @t704)) % 1.31/1.51 (step @p998 :rule cnf_or_pos :args (@t710)) % 1.31/1.51 (step @p999 :rule reordering :premises (@p998) :args ((or @t540 @t535 @t709 @t707 (not @t710)))) % 1.31/1.51 (step @p1000 :rule chain_m_resolution :premises (@p999 @p988 @p997 @p991 @p981) :args (@t707 (@list false false false false) (@list @t539 @t534 @t708 @t710))) % 1.31/1.51 (assume-push @p1035 @t529) % 1.31/1.51 (assume-push @p1036 @t563) % 1.31/1.51 (assume-push @p1037 @t563) % 1.31/1.51 (assume-push @p1038 @t529) % 1.31/1.51 (step @p1005 :rule true_intro :premises (@p691)) % 1.31/1.51 (step @p1006 :rule symm :premises (@p1035)) % 1.31/1.52 (step @p1007 :rule refl :args (@t219)) % 1.31/1.52 (step @p1008 :rule cong :premises (@p1007 @p1006) :args (@t706)) % 1.31/1.52 (step @p1009 :rule trans :premises (@p1008 @p1005)) % 1.31/1.52 (step @p1010 :rule true_elim :premises (@p1009)) % 1.31/1.52 (step-pop @p1039 :rule scope :premises (@p1010)) % 1.31/1.52 (step-pop @p1040 :rule scope :premises (@p1039)) % 1.31/1.52 (step @p1011 :rule process_scope :premises (@p1040) :args (@t706)) % 1.31/1.52 (step @p1014 :rule and_intro :premises (@p691 @p1035)) % 1.31/1.52 (step @p1015 :rule modus_ponens :premises (@p1014 @p1011)) % 1.31/1.52 (step-pop @p1041 :rule scope :premises (@p1015)) % 1.31/1.52 (step-pop @p1042 :rule scope :premises (@p1041)) % 1.31/1.52 (step @p1016 :rule process_scope :premises (@p1042) :args (@t706)) % 1.31/1.52 (step @p1019 :rule implies_elim :premises (@p1016)) % 1.31/1.52 (step @p1020 :rule cnf_and_neg :args (@t712)) % 1.31/1.52 (step @p1021 :rule resolution :premises (@p1020 @p1019) :args (true @t712)) % 1.31/1.52 (step @p1022 false :rule chain_m_resolution :premises (@p1021 @p1000 @p866 @p691) :args (false (@list true false false) (@list @t706 @t529 @t563))) % 1.31/1.52 ) % 1.31/1.52 % SZS output end Proof % 1.31/1.52 % cvc5 exiting %------------------------------------------------------------------------------