%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC092+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 : n014.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 08:58:01 AM UTC 2026 % Result : Theorem 15.95s 16.13s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC092+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:14:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 15.95/16.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.95/16.13 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.13 % SZS status Theorem % 15.95/16.13 % SZS output start Proof % 15.95/16.13 ( % 15.95/16.13 (declare-sort $$unsorted 0) % 15.95/16.13 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.95/16.13 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.95/16.13 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.13 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.13 (declare-const tptp.nil $$unsorted) % 15.95/16.13 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.95/16.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.95/16.13 (define @t1 () (@var "V" $$unsorted)) % 15.95/16.13 (define @t2 () (@var "U" $$unsorted)) % 15.95/16.13 (define @t3 () (= @t2 @t1)) % 15.95/16.13 (define @t4 () (not @t3)) % 15.95/16.13 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 15.95/16.13 (define @t6 () (tptp.ssItem @t1)) % 15.95/16.13 (define @t7 () (@list @t1)) % 15.95/16.13 (define @t8 () (tptp.ssItem @t2)) % 15.95/16.13 (define @t9 () (@list @t2)) % 15.95/16.13 (define @t10 () (@var "X" $$unsorted)) % 15.95/16.13 (define @t11 () (tptp.cons @t1 @t10)) % 15.95/16.13 (define @t12 () (@var "W" $$unsorted)) % 15.95/16.13 (define @t13 () (tptp.ssList @t10)) % 15.95/16.13 (define @t14 () (@list @t10)) % 15.95/16.13 (define @t15 () (tptp.ssList @t12)) % 15.95/16.13 (define @t16 () (@list @t12)) % 15.95/16.13 (define @t17 () (tptp.ssList @t2)) % 15.95/16.13 (define @t18 () (tptp.cons @t1 tptp.nil)) % 15.95/16.13 (define @t19 () (tptp.app @t1 @t12)) % 15.95/16.13 (define @t20 () (tptp.frontsegP @t2 @t1)) % 15.95/16.13 (define @t21 () (tptp.ssList @t1)) % 15.95/16.13 (define @t22 () (tptp.app @t12 @t1)) % 15.95/16.13 (define @t23 () (tptp.rearsegP @t2 @t1)) % 15.95/16.13 (define @t24 () (tptp.segmentP @t2 @t1)) % 15.95/16.13 (define @t25 () (tptp.leq @t12 @t1)) % 15.95/16.13 (define @t26 () (tptp.leq @t1 @t12)) % 15.95/16.13 (define @t27 () (@var "Z" $$unsorted)) % 15.95/16.13 (define @t28 () (@var "Y" $$unsorted)) % 15.95/16.13 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 15.95/16.13 (define @t30 () (tptp.ssList @t27)) % 15.95/16.13 (define @t31 () (@list @t27)) % 15.95/16.13 (define @t32 () (tptp.ssList @t28)) % 15.95/16.13 (define @t33 () (@list @t28)) % 15.95/16.13 (define @t34 () (tptp.ssItem @t12)) % 15.95/16.13 (define @t35 () (tptp.lt @t1 @t12)) % 15.95/16.13 (define @t36 () (tptp.strictorderedP @t2)) % 15.95/16.13 (define @t37 () (= @t1 @t12)) % 15.95/16.13 (define @t38 () (forall @t7 (=> @t21 @t5))) % 15.95/16.13 (define @t39 () (=> @t17 @t38)) % 15.95/16.13 (define @t40 () (forall @t9 @t39)) % 15.95/16.13 (define @t41 () (tptp.cons @t1 @t2)) % 15.95/16.13 (define @t42 () (tptp.ssList tptp.nil)) % 15.95/16.13 (define @t43 () (= @t1 @t2)) % 15.95/16.13 (define @t44 () (tptp.cons @t12 @t1)) % 15.95/16.13 (define @t45 () (= tptp.nil @t2)) % 15.95/16.13 (define @t46 () (tptp.hd @t2)) % 15.95/16.13 (define @t47 () (not @t45)) % 15.95/16.13 (define @t48 () (tptp.tl @t2)) % 15.95/16.13 (define @t49 () (tptp.app @t2 @t1)) % 15.95/16.13 (define @t50 () (tptp.app @t1 @t2)) % 15.95/16.13 (define @t51 () (tptp.app tptp.nil @t2)) % 15.95/16.13 (define @t52 () (=> @t17 (= @t51 @t2))) % 15.95/16.13 (define @t53 () (forall @t9 @t52)) % 15.95/16.13 (define @t54 () (tptp.leq @t1 @t2)) % 15.95/16.13 (define @t55 () (tptp.leq @t2 @t1)) % 15.95/16.13 (define @t56 () (tptp.geq @t2 @t1)) % 15.95/16.13 (define @t57 () (tptp.lt @t1 @t2)) % 15.95/16.13 (define @t58 () (tptp.lt @t2 @t1)) % 15.95/16.13 (define @t59 () (tptp.lt @t2 @t12)) % 15.95/16.13 (define @t60 () (tptp.gt @t2 @t1)) % 15.95/16.13 (define @t61 () (tptp.memberP @t12 @t2)) % 15.95/16.13 (define @t62 () (tptp.app @t12 @t2)) % 15.95/16.13 (define @t63 () (tptp.segmentP @t2 @t2)) % 15.95/16.13 (define @t64 () (forall @t9 (=> @t17 @t63))) % 15.95/16.13 (define @t65 () (tptp.segmentP (tptp.app @t62 @t10) @t1)) % 15.95/16.13 (define @t66 () (=> @t24 @t65)) % 15.95/16.13 (define @t67 () (forall @t14 (=> @t13 @t66))) % 15.95/16.13 (define @t68 () (=> @t15 @t67)) % 15.95/16.13 (define @t69 () (forall @t16 @t68)) % 15.95/16.13 (define @t70 () (=> @t21 @t69)) % 15.95/16.13 (define @t71 () (forall @t7 @t70)) % 15.95/16.13 (define @t72 () (=> @t17 @t71)) % 15.95/16.13 (define @t73 () (forall @t9 @t72)) % 15.95/16.13 (define @t74 () (tptp.cons @t2 tptp.nil)) % 15.95/16.13 (define @t75 () (tptp.hd @t1)) % 15.95/16.13 (define @t76 () (= tptp.nil @t1)) % 15.95/16.13 (define @t77 () (not @t76)) % 15.95/16.13 (define @t78 () (tptp.cons @t2 @t1)) % 15.95/16.13 (define @t79 () (= @t12 @t2)) % 15.95/16.13 (define @t80 () (not (= tptp.nil @t10))) % 15.95/16.13 (define @t81 () (and @t80 (= tptp.nil @t12))) % 15.95/16.13 (define @t82 () (@var "X1" $$unsorted)) % 15.95/16.13 (define @t83 () (@var "X3" $$unsorted)) % 15.95/16.13 (define @t84 () (tptp.lt @t83 @t82)) % 15.95/16.13 (define @t85 () (tptp.cons @t83 tptp.nil)) % 15.95/16.13 (define @t86 () (@var "X4" $$unsorted)) % 15.95/16.13 (define @t87 () (tptp.app @t86 @t85)) % 15.95/16.13 (define @t88 () (tptp.ssList @t86)) % 15.95/16.13 (define @t89 () (and @t88 (= @t87 @t12) @t84)) % 15.95/16.13 (define @t90 () (@list @t86)) % 15.95/16.13 (define @t91 () (exists @t90 @t89)) % 15.95/16.13 (define @t92 () (tptp.ssItem @t83)) % 15.95/16.13 (define @t93 () (and @t92 @t91)) % 15.95/16.13 (define @t94 () (@list @t83)) % 15.95/16.13 (define @t95 () (exists @t94 @t93)) % 15.95/16.13 (define @t96 () (@var "X2" $$unsorted)) % 15.95/16.13 (define @t97 () (tptp.cons @t82 tptp.nil)) % 15.95/16.13 (define @t98 () (tptp.app @t97 @t96)) % 15.95/16.13 (define @t99 () (tptp.ssList @t96)) % 15.95/16.13 (define @t100 () (and @t99 (= @t98 @t27) @t95)) % 15.95/16.13 (define @t101 () (@list @t96)) % 15.95/16.13 (define @t102 () (exists @t101 @t100)) % 15.95/16.13 (define @t103 () (tptp.ssItem @t82)) % 15.95/16.13 (define @t104 () (and @t103 @t102)) % 15.95/16.13 (define @t105 () (@list @t82)) % 15.95/16.13 (define @t106 () (exists @t105 @t104)) % 15.95/16.13 (define @t107 () (not (tptp.strictorderedP @t12))) % 15.95/16.13 (define @t108 () (tptp.app @t12 @t27)) % 15.95/16.13 (define @t109 () (not (= @t108 @t10))) % 15.95/16.13 (define @t110 () (or @t109 @t107 @t106)) % 15.95/16.13 (define @t111 () (=> @t30 @t110)) % 15.95/16.13 (define @t112 () (forall @t31 @t111)) % 15.95/16.13 (define @t113 () (tptp.segmentP @t2 @t28)) % 15.95/16.13 (define @t114 () (tptp.segmentP @t1 @t28)) % 15.95/16.13 (define @t115 () (tptp.neq @t28 tptp.nil)) % 15.95/16.13 (define @t116 () (and @t32 @t115 @t114 @t113)) % 15.95/16.13 (define @t117 () (exists @t33 @t116)) % 15.95/16.13 (define @t118 () (not (tptp.neq @t1 tptp.nil))) % 15.95/16.13 (define @t119 () (not (= @t2 @t12))) % 15.95/16.13 (define @t120 () (not (= @t1 @t10))) % 15.95/16.13 (define @t121 () (or @t120 @t119 @t118 @t117 @t112 @t81)) % 15.95/16.13 (define @t122 () (=> @t13 @t121)) % 15.95/16.13 (define @t123 () (forall @t14 @t122)) % 15.95/16.13 (define @t124 () (=> @t15 @t123)) % 15.95/16.13 (define @t125 () (forall @t16 @t124)) % 15.95/16.13 (define @t126 () (=> @t21 @t125)) % 15.95/16.13 (define @t127 () (forall @t7 @t126)) % 15.95/16.13 (define @t128 () (=> @t17 @t127)) % 15.95/16.13 (define @t129 () (forall @t9 @t128)) % 15.95/16.13 (define @t130 () (not @t129)) % 15.95/16.13 (define @t131 () (= @t2 @t51)) % 15.95/16.13 (define @t132 () (@var "BOUND_VARIABLE_11214" $$unsorted)) % 15.95/16.13 (define @t133 () (@var "BOUND_VARIABLE_11041" $$unsorted)) % 15.95/16.13 (define @t134 () (tptp.app @t97 @t133)) % 15.95/16.13 (define @t135 () (not (tptp.ssList @t133))) % 15.95/16.13 (define @t136 () (@var "BOUND_VARIABLE_11026" $$unsorted)) % 15.95/16.13 (define @t137 () (@var "BOUND_VARIABLE_11028" $$unsorted)) % 15.95/16.13 (define @t138 () (tptp.app @t137 (tptp.cons @t136 tptp.nil))) % 15.95/16.13 (define @t139 () (not (= @t2 @t138))) % 15.95/16.13 (define @t140 () (not (tptp.ssList @t137))) % 15.95/16.13 (define @t141 () (not (tptp.lt @t136 @t82))) % 15.95/16.13 (define @t142 () (not (tptp.ssItem @t136))) % 15.95/16.13 (define @t143 () (not @t103)) % 15.95/16.13 (define @t144 () (@list @t82 @t136 @t137 @t133)) % 15.95/16.13 (define @t145 () (not (forall @t144 (or @t143 @t142 @t141 @t140 @t139 @t135 (not (= @t134 @t132)))))) % 15.95/16.13 (define @t146 () (not (tptp.ssList @t132))) % 15.95/16.13 (define @t147 () (= @t2 tptp.nil)) % 15.95/16.13 (define @t148 () (tptp.app @t2 @t132)) % 15.95/16.13 (define @t149 () (and (not (= tptp.nil @t148)) @t147)) % 15.95/16.13 (define @t150 () (not @t113)) % 15.95/16.13 (define @t151 () (not @t115)) % 15.95/16.13 (define @t152 () (not @t32)) % 15.95/16.13 (define @t153 () (not (forall @t33 (or @t152 @t151 (not (tptp.segmentP @t148 @t28)) @t150)))) % 15.95/16.13 (define @t154 () (not (tptp.neq @t148 tptp.nil))) % 15.95/16.13 (define @t155 () (not (tptp.ssList @t148))) % 15.95/16.13 (define @t156 () (not @t36)) % 15.95/16.13 (define @t157 () (not @t17)) % 15.95/16.13 (define @t158 () (or @t157 @t156 @t155 @t154 @t153 @t149 @t146 @t145)) % 15.95/16.13 (define @t159 () (@list @t2 @t132)) % 15.95/16.13 (define @t160 () (forall @t159 @t158)) % 15.95/16.13 (define @t161 () (@quantifiers_skolemize @t160 0)) % 15.95/16.13 (define @t162 () (@list @t161)) % 15.95/16.13 (define @t163 () (or @t155 @t154 @t153 @t149 @t146 @t145)) % 15.95/16.13 (define @t164 () (or @t157 @t156 @t163)) % 15.95/16.13 (define @t165 () (forall @t159 @t164)) % 15.95/16.13 (define @t166 () (@list @t132)) % 15.95/16.13 (define @t167 () (forall @t166 @t164)) % 15.95/16.13 (define @t168 () (forall @t166 @t163)) % 15.95/16.13 (define @t169 () (@var "BOUND_VARIABLE_11169" $$unsorted)) % 15.95/16.13 (define @t170 () (@list @t169)) % 15.95/16.13 (define @t171 () (or @t157 @t156 @t168)) % 15.95/16.13 (define @t172 () (not (forall @t144 (or @t143 @t142 @t141 @t140 @t139 @t135 (not (= @t134 @t169)))))) % 15.95/16.13 (define @t173 () (not (tptp.ssList @t169))) % 15.95/16.13 (define @t174 () (tptp.app @t2 @t169)) % 15.95/16.13 (define @t175 () (and (not (= tptp.nil @t174)) @t147)) % 15.95/16.13 (define @t176 () (not (forall @t33 (or @t152 @t151 (not (tptp.segmentP @t174 @t28)) @t150)))) % 15.95/16.13 (define @t177 () (not (tptp.neq @t174 tptp.nil))) % 15.95/16.13 (define @t178 () (not (tptp.ssList @t174))) % 15.95/16.13 (define @t179 () (or @t178 @t177 @t176 @t175 @t173 @t172)) % 15.95/16.13 (define @t180 () (@list @t169)) % 15.95/16.13 (define @t181 () (or @t157 @t156 (forall @t180 @t179))) % 15.95/16.13 (define @t182 () (not (= @t174 @t174))) % 15.95/16.13 (define @t183 () (not (= @t174 tptp.nil))) % 15.95/16.13 (define @t184 () (and @t183 @t147)) % 15.95/16.13 (define @t185 () (or @t178 @t177 @t176 @t184 @t173 @t182 @t172)) % 15.95/16.13 (define @t186 () (not (= @t1 @t174))) % 15.95/16.13 (define @t187 () (not (= @t1 tptp.nil))) % 15.95/16.13 (define @t188 () (and @t187 @t147)) % 15.95/16.13 (define @t189 () (not @t114)) % 15.95/16.13 (define @t190 () (or @t152 @t151 @t189 @t150)) % 15.95/16.13 (define @t191 () (not (forall @t33 @t190))) % 15.95/16.13 (define @t192 () (not @t21)) % 15.95/16.13 (define @t193 () (or @t186 @t192 @t118 @t191 @t188 @t173 @t186 @t172)) % 15.95/16.13 (define @t194 () (or @t192 @t118 @t191 @t188 @t173 @t186 @t172)) % 15.95/16.13 (define @t195 () (forall @t7 @t194)) % 15.95/16.13 (define @t196 () (forall @t180 @t195)) % 15.95/16.13 (define @t197 () (forall (@list @t169 @t1) @t194)) % 15.95/16.13 (define @t198 () (@list @t1 @t169)) % 15.95/16.13 (define @t199 () (or @t173 @t186 @t172)) % 15.95/16.13 (define @t200 () (or @t192 @t118 @t191 @t188 @t199)) % 15.95/16.13 (define @t201 () (forall @t198 @t200)) % 15.95/16.13 (define @t202 () (forall @t180 @t200)) % 15.95/16.13 (define @t203 () (forall @t180 @t199)) % 15.95/16.13 (define @t204 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 15.95/16.13 (define @t205 () (@list @t204)) % 15.95/16.13 (define @t206 () (or @t192 @t118 @t191 @t188 @t203)) % 15.95/16.13 (define @t207 () (not (= @t134 @t204))) % 15.95/16.13 (define @t208 () (not (forall @t144 (or @t143 @t142 @t141 @t140 @t139 @t135 @t207)))) % 15.95/16.13 (define @t209 () (not (= @t1 (tptp.app @t2 @t204)))) % 15.95/16.13 (define @t210 () (not (tptp.ssList @t204))) % 15.95/16.13 (define @t211 () (or @t210 @t209 @t208)) % 15.95/16.13 (define @t212 () (@list @t204)) % 15.95/16.13 (define @t213 () (forall @t212 @t211)) % 15.95/16.13 (define @t214 () (or @t192 @t118 @t191 @t188 @t213)) % 15.95/16.13 (define @t215 () (forall @t7 @t214)) % 15.95/16.13 (define @t216 () (or @t157 @t156 @t215)) % 15.95/16.13 (define @t217 () (or @t157 @t156 @t214)) % 15.95/16.13 (define @t218 () (or @t192 @t118 @t191 @t157 @t156 @t188 @t213)) % 15.95/16.13 (define @t219 () (or @t118 @t191 @t192 @t157 @t156 @t188 @t213)) % 15.95/16.13 (define @t220 () (or @t157 @t156 @t188 @t213)) % 15.95/16.13 (define @t221 () (or @t157 @t156 @t188 @t211)) % 15.95/16.13 (define @t222 () (or @t157 @t156 @t188 @t210 @t209 @t208)) % 15.95/16.13 (define @t223 () (not (= @t2 @t2))) % 15.95/16.13 (define @t224 () (or @t157 @t223 @t156 @t188 @t210 @t209 @t208)) % 15.95/16.13 (define @t225 () (not (= @t12 @t138))) % 15.95/16.13 (define @t226 () (not (forall @t144 (or @t143 @t142 @t141 @t140 @t225 @t135 @t207)))) % 15.95/16.13 (define @t227 () (not (= @t1 (tptp.app @t12 @t204)))) % 15.95/16.13 (define @t228 () (= @t12 tptp.nil)) % 15.95/16.13 (define @t229 () (and @t187 @t228)) % 15.95/16.13 (define @t230 () (not @t15)) % 15.95/16.13 (define @t231 () (or @t119 @t230 @t119 @t107 @t229 @t210 @t227 @t226)) % 15.95/16.13 (define @t232 () (or @t230 @t119 @t107 @t229 @t210 @t227 @t226)) % 15.95/16.13 (define @t233 () (forall @t16 @t232)) % 15.95/16.13 (define @t234 () (forall @t212 @t233)) % 15.95/16.13 (define @t235 () (forall (@list @t204 @t12) @t232)) % 15.95/16.13 (define @t236 () (@list @t12 @t204)) % 15.95/16.13 (define @t237 () (or @t210 @t227 @t226)) % 15.95/16.13 (define @t238 () (or @t230 @t119 @t107 @t229 @t237)) % 15.95/16.13 (define @t239 () (forall @t236 @t238)) % 15.95/16.13 (define @t240 () (forall @t212 @t238)) % 15.95/16.13 (define @t241 () (forall @t212 @t237)) % 15.95/16.13 (define @t242 () (@var "BOUND_VARIABLE_11076" $$unsorted)) % 15.95/16.13 (define @t243 () (@list @t242)) % 15.95/16.13 (define @t244 () (or @t230 @t119 @t107 @t229 @t241)) % 15.95/16.13 (define @t245 () (not (forall @t144 (or @t143 @t142 @t141 @t140 @t225 @t135 (not (= @t134 @t242)))))) % 15.95/16.13 (define @t246 () (tptp.app @t12 @t242)) % 15.95/16.13 (define @t247 () (not (= @t1 @t246))) % 15.95/16.13 (define @t248 () (not (tptp.ssList @t242))) % 15.95/16.13 (define @t249 () (or @t248 @t247 @t245)) % 15.95/16.13 (define @t250 () (@list @t242)) % 15.95/16.13 (define @t251 () (forall @t250 @t249)) % 15.95/16.13 (define @t252 () (or @t230 @t119 @t107 @t229 @t251)) % 15.95/16.13 (define @t253 () (forall @t16 @t252)) % 15.95/16.13 (define @t254 () (or @t118 @t191 @t192 @t253)) % 15.95/16.13 (define @t255 () (or @t118 @t191 @t192 @t252)) % 15.95/16.13 (define @t256 () (or @t230 @t119 @t118 @t191 @t107 @t192 @t229 @t251)) % 15.95/16.13 (define @t257 () (or @t119 @t118 @t191 @t107 @t192 @t229 @t251)) % 15.95/16.13 (define @t258 () (or @t192 @t229 @t251)) % 15.95/16.13 (define @t259 () (or @t192 @t229 @t249)) % 15.95/16.13 (define @t260 () (or @t192 @t229 @t248 @t247 @t245)) % 15.95/16.13 (define @t261 () (not (= @t1 @t1))) % 15.95/16.13 (define @t262 () (or @t192 @t261 @t229 @t248 @t247 @t245)) % 15.95/16.13 (define @t263 () (not (= @t10 @t246))) % 15.95/16.13 (define @t264 () (and (not (= @t10 tptp.nil)) @t228)) % 15.95/16.13 (define @t265 () (not @t13)) % 15.95/16.13 (define @t266 () (or @t120 @t265 @t120 @t264 @t248 @t263 @t245)) % 15.95/16.13 (define @t267 () (or @t265 @t120 @t264 @t248 @t263 @t245)) % 15.95/16.13 (define @t268 () (forall @t14 @t267)) % 15.95/16.13 (define @t269 () (forall @t250 @t268)) % 15.95/16.13 (define @t270 () (forall (@list @t242 @t10) @t267)) % 15.95/16.13 (define @t271 () (@list @t10 @t242)) % 15.95/16.13 (define @t272 () (not (= @t242 @t134))) % 15.95/16.13 (define @t273 () (or @t143 @t142 @t141 @t140 @t225 @t135 @t272)) % 15.95/16.13 (define @t274 () (forall @t144 @t273)) % 15.95/16.13 (define @t275 () (not @t274)) % 15.95/16.13 (define @t276 () (or @t265 @t120 @t264 @t248 @t263 @t275)) % 15.95/16.13 (define @t277 () (or @t248 @t263 @t275)) % 15.95/16.13 (define @t278 () (or @t265 @t120 @t264 @t277)) % 15.95/16.13 (define @t279 () (forall @t271 @t278)) % 15.95/16.13 (define @t280 () (forall @t250 @t278)) % 15.95/16.13 (define @t281 () (forall @t250 @t277)) % 15.95/16.13 (define @t282 () (or @t265 @t120 @t264 @t281)) % 15.95/16.13 (define @t283 () (not (= @t27 @t134))) % 15.95/16.13 (define @t284 () (or @t143 @t142 @t141 @t140 @t225 @t135 @t283)) % 15.95/16.13 (define @t285 () (not (forall @t144 @t284))) % 15.95/16.13 (define @t286 () (not (= @t10 @t108))) % 15.95/16.13 (define @t287 () (not @t30)) % 15.95/16.13 (define @t288 () (or @t287 @t286 @t285)) % 15.95/16.13 (define @t289 () (forall @t31 @t288)) % 15.95/16.13 (define @t290 () (or @t265 @t120 @t264 @t289)) % 15.95/16.13 (define @t291 () (forall @t14 @t290)) % 15.95/16.13 (define @t292 () (or @t119 @t118 @t191 @t107 @t291)) % 15.95/16.13 (define @t293 () (or @t119 @t118 @t191 @t107 @t290)) % 15.95/16.13 (define @t294 () (or @t265 @t120 @t119 @t118 @t191 @t264 @t107 @t289)) % 15.95/16.13 (define @t295 () (or @t120 @t119 @t118 @t191 @t264 @t107 @t289)) % 15.95/16.13 (define @t296 () (or @t107 @t289)) % 15.95/16.13 (define @t297 () (or @t107 @t288)) % 15.95/16.13 (define @t298 () (or @t287 @t286 @t107 @t285)) % 15.95/16.13 (define @t299 () (or @t286 @t107 @t285)) % 15.95/16.13 (define @t300 () (or @t135 @t283)) % 15.95/16.13 (define @t301 () (or @t142 @t141 @t140 @t225)) % 15.95/16.13 (define @t302 () (or @t143 @t301 @t300)) % 15.95/16.13 (define @t303 () (forall @t144 @t302)) % 15.95/16.13 (define @t304 () (forall (@list @t136 @t137 @t133) @t302)) % 15.95/16.13 (define @t305 () (forall (@list @t133) @t300)) % 15.95/16.13 (define @t306 () (forall (@list @t136 @t137) @t301)) % 15.95/16.13 (define @t307 () (@var "BOUND_VARIABLE_10991" $$unsorted)) % 15.95/16.13 (define @t308 () (or @t143 @t306 @t305)) % 15.95/16.13 (define @t309 () (= @t27 @t98)) % 15.95/16.13 (define @t310 () (not @t309)) % 15.95/16.13 (define @t311 () (not @t99)) % 15.95/16.13 (define @t312 () (or @t311 @t310)) % 15.95/16.13 (define @t313 () (forall @t101 @t312)) % 15.95/16.13 (define @t314 () (not (= @t12 (tptp.app @t307 @t85)))) % 15.95/16.13 (define @t315 () (not (tptp.ssList @t307))) % 15.95/16.13 (define @t316 () (not @t84)) % 15.95/16.13 (define @t317 () (not @t92)) % 15.95/16.13 (define @t318 () (or @t317 @t316 @t315 @t314)) % 15.95/16.13 (define @t319 () (@list @t83 @t307)) % 15.95/16.13 (define @t320 () (forall @t319 @t318)) % 15.95/16.13 (define @t321 () (or @t143 @t320 @t313)) % 15.95/16.13 (define @t322 () (or @t320 @t313)) % 15.95/16.13 (define @t323 () (not @t322)) % 15.95/16.13 (define @t324 () (and @t103 @t323)) % 15.95/16.13 (define @t325 () (forall @t105 (not @t324))) % 15.95/16.13 (define @t326 () (not @t325)) % 15.95/16.13 (define @t327 () (or @t320 @t312)) % 15.95/16.13 (define @t328 () (or @t311 @t310 @t320)) % 15.95/16.13 (define @t329 () (not @t320)) % 15.95/16.13 (define @t330 () (not @t329)) % 15.95/16.13 (define @t331 () (or @t311 @t310 @t330)) % 15.95/16.13 (define @t332 () (and @t99 @t309 @t329)) % 15.95/16.13 (define @t333 () (forall @t101 (not @t332))) % 15.95/16.13 (define @t334 () (not @t333)) % 15.95/16.13 (define @t335 () (or @t315 @t314)) % 15.95/16.13 (define @t336 () (or @t317 @t316 @t335)) % 15.95/16.13 (define @t337 () (forall @t319 @t336)) % 15.95/16.13 (define @t338 () (@list @t307)) % 15.95/16.13 (define @t339 () (forall @t338 @t336)) % 15.95/16.13 (define @t340 () (forall @t338 @t335)) % 15.95/16.13 (define @t341 () (or @t317 @t316 @t340)) % 15.95/16.13 (define @t342 () (= @t12 @t87)) % 15.95/16.13 (define @t343 () (not @t342)) % 15.95/16.13 (define @t344 () (not @t88)) % 15.95/16.13 (define @t345 () (or @t344 @t343)) % 15.95/16.13 (define @t346 () (forall @t90 @t345)) % 15.95/16.13 (define @t347 () (or @t317 @t316 @t346)) % 15.95/16.13 (define @t348 () (or @t316 @t346)) % 15.95/16.13 (define @t349 () (not @t348)) % 15.95/16.13 (define @t350 () (and @t92 @t349)) % 15.95/16.13 (define @t351 () (forall @t94 (not @t350))) % 15.95/16.13 (define @t352 () (not @t351)) % 15.95/16.13 (define @t353 () (or @t316 @t345)) % 15.95/16.13 (define @t354 () (or @t344 @t343 @t316)) % 15.95/16.13 (define @t355 () (and @t88 @t342 @t84)) % 15.95/16.13 (define @t356 () (forall @t90 (not @t355))) % 15.95/16.13 (define @t357 () (not @t356)) % 15.95/16.13 (define @t358 () (forall @t33 (not @t116))) % 15.95/16.13 (define @t359 () (not @t358)) % 15.95/16.13 (define @t360 () (@quantifiers_skolemize @t160 1)) % 15.95/16.13 (define @t361 () (not (= @t134 @t360))) % 15.95/16.13 (define @t362 () (tptp.ssList @t360)) % 15.95/16.13 (define @t363 () (not @t362)) % 15.95/16.13 (define @t364 () (= tptp.nil @t161)) % 15.95/16.13 (define @t365 () (tptp.app @t161 @t360)) % 15.95/16.13 (define @t366 () (= tptp.nil @t365)) % 15.95/16.13 (define @t367 () (not @t366)) % 15.95/16.13 (define @t368 () (and @t367 @t364)) % 15.95/16.13 (define @t369 () (forall @t33 (or @t152 @t151 (not (tptp.segmentP @t365 @t28)) (not (tptp.segmentP @t161 @t28))))) % 15.95/16.13 (define @t370 () (not @t369)) % 15.95/16.13 (define @t371 () (tptp.neq @t365 tptp.nil)) % 15.95/16.13 (define @t372 () (not @t371)) % 15.95/16.13 (define @t373 () (not (tptp.ssList @t365))) % 15.95/16.13 (define @t374 () (not (tptp.strictorderedP @t161))) % 15.95/16.13 (define @t375 () (tptp.ssList @t161)) % 15.95/16.13 (define @t376 () (not @t375)) % 15.95/16.13 (define @t377 () (or @t376 @t374 @t373 @t372 @t370 @t368 @t363 (not (forall @t144 (or @t143 @t142 @t141 @t140 (not (= @t138 @t161)) @t135 @t361))))) % 15.95/16.13 (define @t378 () (not @t377)) % 15.95/16.13 (define @t379 () (not @t160)) % 15.95/16.13 (define @t380 () (not (= @t161 @t138))) % 15.95/16.13 (define @t381 () (or @t143 @t142 @t141 @t140 @t380 @t135 @t361)) % 15.95/16.13 (define @t382 () (forall @t144 @t381)) % 15.95/16.13 (define @t383 () (not @t382)) % 15.95/16.13 (define @t384 () (= @t161 tptp.nil)) % 15.95/16.13 (define @t385 () (and @t367 @t384)) % 15.95/16.13 (define @t386 () (or @t376 @t374 @t373 @t372 @t370 @t385 @t363 @t383)) % 15.95/16.13 (define @t387 () (not @t386)) % 15.95/16.13 (define @t388 () (@list true)) % 15.95/16.13 (define @t389 () (@list @t377)) % 15.95/16.13 (define @t390 () (tptp.app tptp.nil @t161)) % 15.95/16.13 (define @t391 () (= @t161 @t390)) % 15.95/16.13 (define @t392 () (or @t376 @t391)) % 15.95/16.13 (define @t393 () (@list false false)) % 15.95/16.13 (define @t394 () (tptp.segmentP @t161 @t161)) % 15.95/16.13 (define @t395 () (or @t376 @t394)) % 15.95/16.13 (define @t396 () (@var "BOUND_VARIABLE_9133" $$unsorted)) % 15.95/16.13 (define @t397 () (= (tptp.neq @t2 @t396) (not (= @t2 @t396)))) % 15.95/16.13 (define @t398 () (not (tptp.ssList @t396))) % 15.95/16.13 (define @t399 () (or @t157 @t398 @t397)) % 15.95/16.13 (define @t400 () (or @t398 @t397)) % 15.95/16.13 (define @t401 () (or @t157 @t400)) % 15.95/16.13 (define @t402 () (@list @t2 @t396)) % 15.95/16.13 (define @t403 () (forall @t402 @t401)) % 15.95/16.13 (define @t404 () (@list @t396)) % 15.95/16.13 (define @t405 () (forall @t404 @t401)) % 15.95/16.13 (define @t406 () (forall @t404 @t400)) % 15.95/16.13 (define @t407 () (or @t157 @t406)) % 15.95/16.13 (define @t408 () (forall @t7 (or @t192 @t5))) % 15.95/16.13 (define @t409 () (tptp.neq @t161 tptp.nil)) % 15.95/16.13 (define @t410 () (not @t364)) % 15.95/16.13 (define @t411 () (not @t384)) % 15.95/16.13 (define @t412 () (= @t409 @t411)) % 15.95/16.13 (define @t413 () (not @t42)) % 15.95/16.13 (define @t414 () (or @t376 @t413 @t412)) % 15.95/16.13 (define @t415 () (forall @t402 @t399)) % 15.95/16.13 (define @t416 () (= @t410 @t409)) % 15.95/16.13 (define @t417 () (or @t376 @t413 @t416)) % 15.95/16.13 (define @t418 () (@list false)) % 15.95/16.13 (define @t419 () (@list @t415)) % 15.95/16.13 (define @t420 () (tptp.neq tptp.nil tptp.nil)) % 15.95/16.13 (define @t421 () (not (= tptp.nil tptp.nil))) % 15.95/16.13 (define @t422 () (= @t420 @t421)) % 15.95/16.13 (define @t423 () (or @t413 @t413 @t422)) % 15.95/16.13 (define @t424 () (not @t420)) % 15.95/16.13 (define @t425 () (or @t413 @t413 @t424)) % 15.95/16.13 (define @t426 () (= false true)) % 15.95/16.13 (define @t427 () (not @t416)) % 15.95/16.13 (define @t428 () (not @t394)) % 15.95/16.13 (define @t429 () (tptp.segmentP @t365 @t161)) % 15.95/16.13 (define @t430 () (not @t429)) % 15.95/16.13 (define @t431 () (not @t409)) % 15.95/16.13 (define @t432 () (or @t376 @t431 @t430 @t428)) % 15.95/16.13 (define @t433 () (@var "BOUND_VARIABLE_10232" $$unsorted)) % 15.95/16.13 (define @t434 () (@var "BOUND_VARIABLE_10236" $$unsorted)) % 15.95/16.13 (define @t435 () (@var "BOUND_VARIABLE_10234" $$unsorted)) % 15.95/16.13 (define @t436 () (tptp.segmentP (tptp.app (tptp.app @t435 @t2) @t434) @t433)) % 15.95/16.13 (define @t437 () (not (tptp.ssList @t434))) % 15.95/16.13 (define @t438 () (not (tptp.ssList @t435))) % 15.95/16.13 (define @t439 () (not (tptp.segmentP @t2 @t433))) % 15.95/16.13 (define @t440 () (not (tptp.ssList @t433))) % 15.95/16.13 (define @t441 () (or @t440 @t439 @t438 @t437 @t436)) % 15.95/16.13 (define @t442 () (or @t157 @t441)) % 15.95/16.13 (define @t443 () (forall (@list @t2 @t433 @t435 @t434) @t442)) % 15.95/16.13 (define @t444 () (@list @t433 @t435 @t434)) % 15.95/16.13 (define @t445 () (forall @t444 @t442)) % 15.95/16.13 (define @t446 () (forall @t444 @t441)) % 15.95/16.13 (define @t447 () (@var "BOUND_VARIABLE_10213" $$unsorted)) % 15.95/16.13 (define @t448 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 15.95/16.13 (define @t449 () (or @t157 @t446)) % 15.95/16.13 (define @t450 () (tptp.segmentP (tptp.app (tptp.app @t448 @t2) @t447) @t1)) % 15.95/16.13 (define @t451 () (not (tptp.ssList @t447))) % 15.95/16.13 (define @t452 () (not (tptp.ssList @t448))) % 15.95/16.13 (define @t453 () (not @t24)) % 15.95/16.13 (define @t454 () (or @t192 @t453 @t452 @t451 @t450)) % 15.95/16.13 (define @t455 () (@list @t1 @t448 @t447)) % 15.95/16.13 (define @t456 () (forall @t455 @t454)) % 15.95/16.13 (define @t457 () (or @t452 @t451 @t450)) % 15.95/16.13 (define @t458 () (or @t192 @t453 @t457)) % 15.95/16.13 (define @t459 () (forall @t455 @t458)) % 15.95/16.13 (define @t460 () (@list @t448 @t447)) % 15.95/16.13 (define @t461 () (forall @t460 @t458)) % 15.95/16.13 (define @t462 () (forall @t460 @t457)) % 15.95/16.13 (define @t463 () (@var "BOUND_VARIABLE_10194" $$unsorted)) % 15.95/16.13 (define @t464 () (or @t192 @t453 @t462)) % 15.95/16.13 (define @t465 () (tptp.segmentP (tptp.app @t62 @t463) @t1)) % 15.95/16.13 (define @t466 () (not (tptp.ssList @t463))) % 15.95/16.13 (define @t467 () (or @t230 @t466 @t465)) % 15.95/16.13 (define @t468 () (@list @t12 @t463)) % 15.95/16.13 (define @t469 () (forall @t468 @t467)) % 15.95/16.13 (define @t470 () (or @t192 @t453 @t469)) % 15.95/16.13 (define @t471 () (or @t453 @t469)) % 15.95/16.13 (define @t472 () (or @t466 @t465)) % 15.95/16.13 (define @t473 () (or @t230 @t472)) % 15.95/16.13 (define @t474 () (forall @t468 @t473)) % 15.95/16.13 (define @t475 () (@list @t463)) % 15.95/16.13 (define @t476 () (forall @t475 @t473)) % 15.95/16.13 (define @t477 () (forall @t475 @t472)) % 15.95/16.13 (define @t478 () (or @t230 @t477)) % 15.95/16.13 (define @t479 () (or @t265 @t65)) % 15.95/16.13 (define @t480 () (forall @t14 @t479)) % 15.95/16.13 (define @t481 () (or @t230 @t480)) % 15.95/16.13 (define @t482 () (forall @t16 @t481)) % 15.95/16.13 (define @t483 () (or @t453 @t482)) % 15.95/16.13 (define @t484 () (or @t453 @t481)) % 15.95/16.13 (define @t485 () (or @t230 @t453 @t480)) % 15.95/16.13 (define @t486 () (or @t453 @t480)) % 15.95/16.13 (define @t487 () (or @t453 @t479)) % 15.95/16.13 (define @t488 () (or @t265 @t453 @t65)) % 15.95/16.13 (define @t489 () (tptp.segmentP (tptp.app @t390 @t360) @t161)) % 15.95/16.13 (define @t490 () (or @t376 @t376 @t428 @t413 @t363 @t489)) % 15.95/16.13 (define @t491 () (not @t489)) % 15.95/16.13 (define @t492 () (not @t391)) % 15.95/16.13 (define @t493 () (and @t489 @t391 @t430)) % 15.95/16.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.95/16.13 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.95/16.13 (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))))))))))) % 15.95/16.13 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.95/16.13 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 15.95/16.13 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 15.95/16.13 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 15.95/16.13 (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))))))))))))))))) % 15.95/16.13 (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)))))))))))))))) % 15.95/16.13 (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))))))))))))))))) % 15.95/16.13 (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))))))))))))))) % 15.95/16.13 (assume @p12 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 15.95/16.13 (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)))))))))))))))) % 15.95/16.13 (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))))))))))))) % 15.95/16.13 (assume @p15 @t40) % 15.95/16.13 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 15.95/16.13 (assume @p17 @t42) % 15.95/16.13 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 15.95/16.13 (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))))))))))) % 15.95/16.13 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 15.95/16.13 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 15.95/16.13 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 15.95/16.13 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 15.95/16.13 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 15.95/16.13 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 15.95/16.13 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 15.95/16.13 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 15.95/16.13 (assume @p28 @t53) % 15.95/16.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 15.95/16.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 15.95/16.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.95/16.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 15.95/16.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 15.95/16.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 15.95/16.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 15.95/16.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t61))))))))) % 15.95/16.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 15.95/16.13 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.95/16.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.95/16.13 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.95/16.13 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.95/16.13 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 15.95/16.13 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.95/16.13 (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)))))))))))) % 15.95/16.13 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.95/16.13 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 15.95/16.13 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.95/16.13 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.95/16.13 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.95/16.13 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 15.95/16.13 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.95/16.13 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 15.95/16.13 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.95/16.13 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.95/16.13 (assume @p55 @t64) % 15.95/16.13 (assume @p56 @t73) % 15.95/16.13 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.95/16.13 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 15.95/16.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 15.95/16.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.95/16.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 15.95/16.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.95/16.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 15.95/16.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.95/16.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 15.95/16.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.95/16.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 15.95/16.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 15.95/16.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.95/16.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 15.95/16.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 15.95/16.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.95/16.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 15.95/16.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.95/16.13 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 15.95/16.13 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 15.95/16.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t47 (= @t75 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 15.95/16.13 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 15.95/16.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t79)))))))) % 15.95/16.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t79)))))))) % 15.95/16.13 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 15.95/16.13 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 15.95/16.13 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t76 @t45))))))) % 15.95/16.13 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.95/16.13 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 15.95/16.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 15.95/16.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 15.95/16.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.95/16.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.95/16.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.95/16.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 15.95/16.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 15.95/16.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 15.95/16.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 15.95/16.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.95/16.13 (assume @p96 @t130) % 15.95/16.13 (assume @p97 true) % 15.95/16.13 (step @p98 :rule bool-impl-elim :args (@t17 @t131)) % 15.95/16.13 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t131)))) % 15.95/16.13 (step @p100 :rule eq-symm :args (@t51 @t2)) % 15.95/16.13 (step @p101 :rule refl :args (@t17)) % 15.95/16.13 (step @p102 :rule cong :premises (@p101 @p100) :args (@t52)) % 15.95/16.13 (step @p103 :rule cong :premises (@p102) :args (@t53)) % 15.95/16.13 (step @p104 :rule trans :premises (@p103 @p99)) % 15.95/16.13 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 15.95/16.13 (step @p106 :rule instantiate :premises (@p105) :args (@t162)) % 15.95/16.13 (step @p107 :rule aci_norm :args ((= @t164 @t158))) % 15.95/16.13 (step @p108 :rule cong :premises (@p107) :args (@t165)) % 15.95/16.13 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t167) @t165))) % 15.95/16.13 (step @p110 :rule alpha_equiv :args (@t168 (@list @t132) @t170)) % 15.95/16.13 (step @p111 :rule refl :args (@t156)) % 15.95/16.13 (step @p112 :rule refl :args (@t157)) % 15.95/16.13 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t171)) % 15.95/16.13 (step @p114 :rule quant-miniscope-or :args ((= @t167 @t171))) % 15.95/16.13 (step @p115 :rule trans :premises (@p114 @p113)) % 15.95/16.13 (step @p116 :rule symm :premises (@p115)) % 15.95/16.13 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t181))) % 15.95/16.13 (step @p118 :rule trans :premises (@p117 @p109)) % 15.95/16.13 (step @p119 :rule trans :premises (@p118 @p108)) % 15.95/16.13 (step @p120 :rule aci_norm :args ((= (or @t157 @t181) @t181))) % 15.95/16.13 (step @p121 :rule bool-impl-elim :args (@t17 @t181)) % 15.95/16.13 (step @p122 :rule trans :premises (@p121 @p120)) % 15.95/16.13 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t181)))) % 15.95/16.13 (step @p124 :rule trans :premises (@p123 @p119)) % 15.95/16.13 (step @p125 :rule aci_norm :args ((= (or @t178 @t177 @t176 @t175 @t173 false @t172) @t179))) % 15.95/16.13 (step @p126 :rule refl :args (@t172)) % 15.95/16.13 (step @p127 :rule evaluate :args ((not true))) % 15.95/16.13 (step @p128 :rule eq-refl :args (@t174)) % 15.95/16.13 (step @p129 :rule cong :premises (@p128) :args (@t182)) % 15.95/16.13 (step @p130 :rule trans :premises (@p129 @p127)) % 15.95/16.13 (step @p131 :rule refl :args (@t173)) % 15.95/16.13 (step @p132 :rule refl :args (@t147)) % 15.95/16.13 (step @p133 :rule eq-symm :args (@t174 tptp.nil)) % 15.95/16.13 (step @p134 :rule cong :premises (@p133) :args (@t183)) % 15.95/16.13 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t184)) % 15.95/16.13 (step @p136 :rule refl :args (@t176)) % 15.95/16.13 (step @p137 :rule refl :args (@t177)) % 15.95/16.13 (step @p138 :rule refl :args (@t178)) % 15.95/16.13 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135 @p131 @p130 @p126) :args (@t185)) % 15.95/16.13 (step @p140 :rule trans :premises (@p139 @p125)) % 15.95/16.13 (step @p141 :rule cong :premises (@p140) :args ((forall @t180 @t185))) % 15.95/16.13 (step @p142 :rule quant-var-elim-eq :args ((= (forall @t7 @t193) @t185))) % 15.95/16.13 (step @p143 :rule aci_norm :args ((= @t194 @t193))) % 15.95/16.13 (step @p144 :rule cong :premises (@p143) :args (@t195)) % 15.95/16.13 (step @p145 :rule trans :premises (@p144 @p142)) % 15.95/16.13 (step @p146 :rule cong :premises (@p145) :args (@t196)) % 15.95/16.13 (step @p147 :rule quant-merge-prenex :args ((= @t196 @t197))) % 15.95/16.13 (step @p148 :rule symm :premises (@p147)) % 15.95/16.13 (step @p149 :rule quant_var_reordering :args ((= (forall @t198 @t194) @t197))) % 15.95/16.13 (step @p150 :rule trans :premises (@p149 @p148 @p146)) % 15.95/16.13 (step @p151 :rule trans :premises (@p150 @p141)) % 15.95/16.13 (step @p152 :rule aci_norm :args ((= @t200 @t194))) % 15.95/16.13 (step @p153 :rule cong :premises (@p152) :args (@t201)) % 15.95/16.13 (step @p154 :rule trans :premises (@p153 @p151)) % 15.95/16.13 (step @p155 :rule quant-merge-prenex :args ((= (forall @t7 @t202) @t201))) % 15.95/16.13 (step @p156 :rule alpha_equiv :args (@t203 @t170 @t205)) % 15.95/16.13 (step @p157 :rule refl :args (@t188)) % 15.95/16.13 (step @p158 :rule refl :args (@t191)) % 15.95/16.13 (step @p159 :rule refl :args (@t118)) % 15.95/16.13 (step @p160 :rule refl :args (@t192)) % 15.95/16.13 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157 @p156) :args (@t206)) % 15.95/16.13 (step @p162 :rule quant-miniscope-or :args ((= @t202 @t206))) % 15.95/16.13 (step @p163 :rule trans :premises (@p162 @p161)) % 15.95/16.13 (step @p164 :rule symm :premises (@p163)) % 15.95/16.13 (step @p165 :rule cong :premises (@p164) :args (@t215)) % 15.95/16.13 (step @p166 :rule trans :premises (@p165 @p155)) % 15.95/16.13 (step @p167 :rule trans :premises (@p166 @p154)) % 15.95/16.13 (step @p168 :rule refl :args (@t156)) % 15.95/16.13 (step @p169 :rule refl :args (@t157)) % 15.95/16.13 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args (@t216)) % 15.95/16.13 (step @p171 :rule quant-miniscope-or :args ((= (forall @t7 @t217) @t216))) % 15.95/16.13 (step @p172 :rule aci_norm :args ((= @t218 @t217))) % 15.95/16.13 (step @p173 :rule cong :premises (@p172) :args ((forall @t7 @t218))) % 15.95/16.13 (step @p174 :rule trans :premises (@p173 @p171)) % 15.95/16.13 (step @p175 :rule trans :premises (@p174 @p170)) % 15.95/16.13 (step @p176 :rule aci_norm :args ((= (or @t192 @t219) @t218))) % 15.95/16.13 (step @p177 :rule bool-impl-elim :args (@t21 @t219)) % 15.95/16.13 (step @p178 :rule trans :premises (@p177 @p176)) % 15.95/16.13 (step @p179 :rule cong :premises (@p178) :args ((forall @t7 (=> @t21 @t219)))) % 15.95/16.13 (step @p180 :rule trans :premises (@p179 @p175)) % 15.95/16.13 (step @p181 :rule aci_norm :args ((= (or @t118 @t191 @t192 @t220) @t219))) % 15.95/16.13 (step @p182 :rule quant-miniscope-or :args ((= (forall @t212 @t221) @t220))) % 15.95/16.13 (step @p183 :rule aci_norm :args ((= @t222 @t221))) % 15.95/16.13 (step @p184 :rule cong :premises (@p183) :args ((forall @t212 @t222))) % 15.95/16.13 (step @p185 :rule trans :premises (@p184 @p182)) % 15.95/16.13 (step @p186 :rule aci_norm :args ((= (or @t157 false @t156 @t188 @t210 @t209 @t208) @t222))) % 15.95/16.13 (step @p187 :rule refl :args (@t208)) % 15.95/16.13 (step @p188 :rule refl :args (@t209)) % 15.95/16.13 (step @p189 :rule refl :args (@t210)) % 15.95/16.13 (step @p190 :rule refl :args (@t188)) % 15.95/16.13 (step @p191 :rule eq-refl :args (@t2)) % 15.95/16.13 (step @p192 :rule cong :premises (@p191) :args (@t223)) % 15.95/16.13 (step @p193 :rule trans :premises (@p192 @p127)) % 15.95/16.13 (step @p194 :rule nary_cong :premises (@p169 @p193 @p168 @p190 @p189 @p188 @p187) :args (@t224)) % 15.95/16.13 (step @p195 :rule trans :premises (@p194 @p186)) % 15.95/16.13 (step @p196 :rule cong :premises (@p195) :args ((forall @t212 @t224))) % 15.95/16.13 (step @p197 :rule trans :premises (@p196 @p185)) % 15.95/16.13 (step @p198 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t79) @t230 @t119 @t107 @t229 @t210 @t227 @t226)) @t224))) % 15.95/16.13 (step @p199 :rule refl :args (@t226)) % 15.95/16.13 (step @p200 :rule refl :args (@t227)) % 15.95/16.13 (step @p201 :rule refl :args (@t210)) % 15.95/16.13 (step @p202 :rule refl :args (@t229)) % 15.95/16.13 (step @p203 :rule refl :args (@t107)) % 15.95/16.13 (step @p204 :rule refl :args (@t119)) % 15.95/16.13 (step @p205 :rule refl :args (@t230)) % 15.95/16.13 (step @p206 :rule eq-symm :args (@t2 @t12)) % 15.95/16.13 (step @p207 :rule cong :premises (@p206) :args (@t119)) % 15.95/16.13 (step @p208 :rule nary_cong :premises (@p207 @p205 @p204 @p203 @p202 @p201 @p200 @p199) :args (@t231)) % 15.95/16.13 (step @p209 :rule aci_norm :args ((= @t232 @t231))) % 15.95/16.13 (step @p210 :rule trans :premises (@p209 @p208)) % 15.95/16.13 (step @p211 :rule cong :premises (@p210) :args (@t233)) % 15.95/16.13 (step @p212 :rule trans :premises (@p211 @p198)) % 15.95/16.13 (step @p213 :rule cong :premises (@p212) :args (@t234)) % 15.95/16.13 (step @p214 :rule quant-merge-prenex :args ((= @t234 @t235))) % 15.95/16.13 (step @p215 :rule symm :premises (@p214)) % 15.95/16.13 (step @p216 :rule quant_var_reordering :args ((= (forall @t236 @t232) @t235))) % 15.95/16.13 (step @p217 :rule trans :premises (@p216 @p215 @p213)) % 15.95/16.13 (step @p218 :rule trans :premises (@p217 @p197)) % 15.95/16.13 (step @p219 :rule aci_norm :args ((= @t238 @t232))) % 15.95/16.13 (step @p220 :rule cong :premises (@p219) :args (@t239)) % 15.95/16.13 (step @p221 :rule trans :premises (@p220 @p218)) % 15.95/16.13 (step @p222 :rule quant-merge-prenex :args ((= (forall @t16 @t240) @t239))) % 15.95/16.13 (step @p223 :rule alpha_equiv :args (@t241 @t205 @t243)) % 15.95/16.13 (step @p224 :rule nary_cong :premises (@p205 @p204 @p203 @p202 @p223) :args (@t244)) % 15.95/16.13 (step @p225 :rule quant-miniscope-or :args ((= @t240 @t244))) % 15.95/16.13 (step @p226 :rule trans :premises (@p225 @p224)) % 15.95/16.13 (step @p227 :rule symm :premises (@p226)) % 15.95/16.13 (step @p228 :rule cong :premises (@p227) :args (@t253)) % 15.95/16.13 (step @p229 :rule trans :premises (@p228 @p222)) % 15.95/16.13 (step @p230 :rule trans :premises (@p229 @p221)) % 15.95/16.13 (step @p231 :rule refl :args (@t192)) % 15.95/16.13 (step @p232 :rule refl :args (@t191)) % 15.95/16.13 (step @p233 :rule refl :args (@t118)) % 15.95/16.13 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231 @p230) :args (@t254)) % 15.95/16.13 (step @p235 :rule trans :premises (@p234 @p181)) % 15.95/16.13 (step @p236 :rule quant-miniscope-or :args ((= (forall @t16 @t255) @t254))) % 15.95/16.13 (step @p237 :rule aci_norm :args ((= @t256 @t255))) % 15.95/16.13 (step @p238 :rule cong :premises (@p237) :args ((forall @t16 @t256))) % 15.95/16.13 (step @p239 :rule trans :premises (@p238 @p236)) % 15.95/16.13 (step @p240 :rule trans :premises (@p239 @p235)) % 15.95/16.13 (step @p241 :rule aci_norm :args ((= (or @t230 @t257) @t256))) % 15.95/16.13 (step @p242 :rule bool-impl-elim :args (@t15 @t257)) % 15.95/16.13 (step @p243 :rule trans :premises (@p242 @p241)) % 15.95/16.13 (step @p244 :rule cong :premises (@p243) :args ((forall @t16 (=> @t15 @t257)))) % 15.95/16.13 (step @p245 :rule trans :premises (@p244 @p240)) % 15.95/16.13 (step @p246 :rule aci_norm :args ((= (or @t119 @t118 @t191 @t107 @t258) @t257))) % 15.95/16.13 (step @p247 :rule quant-miniscope-or :args ((= (forall @t250 @t259) @t258))) % 15.95/16.13 (step @p248 :rule aci_norm :args ((= @t260 @t259))) % 15.95/16.13 (step @p249 :rule cong :premises (@p248) :args ((forall @t250 @t260))) % 15.95/16.13 (step @p250 :rule trans :premises (@p249 @p247)) % 15.95/16.13 (step @p251 :rule aci_norm :args ((= (or @t192 false @t229 @t248 @t247 @t245) @t260))) % 15.95/16.13 (step @p252 :rule refl :args (@t245)) % 15.95/16.13 (step @p253 :rule refl :args (@t247)) % 15.95/16.13 (step @p254 :rule refl :args (@t248)) % 15.95/16.13 (step @p255 :rule refl :args (@t229)) % 15.95/16.13 (step @p256 :rule eq-refl :args (@t1)) % 15.95/16.13 (step @p257 :rule cong :premises (@p256) :args (@t261)) % 15.95/16.13 (step @p258 :rule trans :premises (@p257 @p127)) % 15.95/16.13 (step @p259 :rule nary_cong :premises (@p231 @p258 @p255 @p254 @p253 @p252) :args (@t262)) % 15.95/16.13 (step @p260 :rule trans :premises (@p259 @p251)) % 15.95/16.13 (step @p261 :rule cong :premises (@p260) :args ((forall @t250 @t262))) % 15.95/16.13 (step @p262 :rule trans :premises (@p261 @p250)) % 15.95/16.13 (step @p263 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t265 @t120 @t264 @t248 @t263 @t245)) @t262))) % 15.95/16.13 (step @p264 :rule refl :args (@t245)) % 15.95/16.13 (step @p265 :rule refl :args (@t263)) % 15.95/16.13 (step @p266 :rule refl :args (@t248)) % 15.95/16.13 (step @p267 :rule refl :args (@t264)) % 15.95/16.13 (step @p268 :rule refl :args (@t120)) % 15.95/16.13 (step @p269 :rule refl :args (@t265)) % 15.95/16.13 (step @p270 :rule eq-symm :args (@t1 @t10)) % 15.95/16.13 (step @p271 :rule cong :premises (@p270) :args (@t120)) % 15.95/16.13 (step @p272 :rule nary_cong :premises (@p271 @p269 @p268 @p267 @p266 @p265 @p264) :args (@t266)) % 15.95/16.13 (step @p273 :rule aci_norm :args ((= @t267 @t266))) % 15.95/16.13 (step @p274 :rule trans :premises (@p273 @p272)) % 15.95/16.13 (step @p275 :rule cong :premises (@p274) :args (@t268)) % 15.95/16.13 (step @p276 :rule trans :premises (@p275 @p263)) % 15.95/16.13 (step @p277 :rule cong :premises (@p276) :args (@t269)) % 15.95/16.13 (step @p278 :rule quant-merge-prenex :args ((= @t269 @t270))) % 15.95/16.13 (step @p279 :rule symm :premises (@p278)) % 15.95/16.13 (step @p280 :rule quant_var_reordering :args ((= (forall @t271 @t267) @t270))) % 15.95/16.13 (step @p281 :rule trans :premises (@p280 @p279 @p277)) % 15.95/16.13 (step @p282 :rule trans :premises (@p281 @p262)) % 15.95/16.13 (step @p283 :rule eq-symm :args (@t242 @t134)) % 15.95/16.13 (step @p284 :rule cong :premises (@p283) :args (@t272)) % 15.95/16.13 (step @p285 :rule refl :args (@t135)) % 15.95/16.13 (step @p286 :rule refl :args (@t225)) % 15.95/16.13 (step @p287 :rule refl :args (@t140)) % 15.95/16.13 (step @p288 :rule refl :args (@t141)) % 15.95/16.13 (step @p289 :rule refl :args (@t142)) % 15.95/16.13 (step @p290 :rule refl :args (@t143)) % 15.95/16.13 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288 @p287 @p286 @p285 @p284) :args (@t273)) % 15.95/16.13 (step @p292 :rule cong :premises (@p291) :args (@t274)) % 15.95/16.13 (step @p293 :rule cong :premises (@p292) :args (@t275)) % 15.95/16.13 (step @p294 :rule refl :args (@t263)) % 15.95/16.13 (step @p295 :rule refl :args (@t264)) % 15.95/16.13 (step @p296 :rule refl :args (@t120)) % 15.95/16.13 (step @p297 :rule refl :args (@t265)) % 15.95/16.13 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p254 @p294 @p293) :args (@t276)) % 15.95/16.13 (step @p299 :rule aci_norm :args ((= @t278 @t276))) % 15.95/16.13 (step @p300 :rule trans :premises (@p299 @p298)) % 15.95/16.13 (step @p301 :rule cong :premises (@p300) :args (@t279)) % 15.95/16.13 (step @p302 :rule trans :premises (@p301 @p282)) % 15.95/16.13 (step @p303 :rule quant-merge-prenex :args ((= (forall @t14 @t280) @t279))) % 15.95/16.13 (step @p304 :rule alpha_equiv :args (@t281 @t243 (@list @t27))) % 15.95/16.13 (step @p305 :rule nary_cong :premises (@p269 @p268 @p267 @p304) :args (@t282)) % 15.95/16.13 (step @p306 :rule quant-miniscope-or :args ((= @t280 @t282))) % 15.95/16.13 (step @p307 :rule trans :premises (@p306 @p305)) % 15.95/16.13 (step @p308 :rule symm :premises (@p307)) % 15.95/16.13 (step @p309 :rule cong :premises (@p308) :args (@t291)) % 15.95/16.13 (step @p310 :rule trans :premises (@p309 @p303)) % 15.95/16.13 (step @p311 :rule trans :premises (@p310 @p302)) % 15.95/16.13 (step @p312 :rule refl :args (@t107)) % 15.95/16.13 (step @p313 :rule refl :args (@t119)) % 15.95/16.13 (step @p314 :rule nary_cong :premises (@p313 @p233 @p232 @p312 @p311) :args (@t292)) % 15.95/16.13 (step @p315 :rule trans :premises (@p314 @p246)) % 15.95/16.13 (step @p316 :rule quant-miniscope-or :args ((= (forall @t14 @t293) @t292))) % 15.95/16.13 (step @p317 :rule aci_norm :args ((= @t294 @t293))) % 15.95/16.13 (step @p318 :rule cong :premises (@p317) :args ((forall @t14 @t294))) % 15.95/16.13 (step @p319 :rule trans :premises (@p318 @p316)) % 15.95/16.13 (step @p320 :rule trans :premises (@p319 @p315)) % 15.95/16.13 (step @p321 :rule aci_norm :args ((= (or @t265 @t295) @t294))) % 15.95/16.13 (step @p322 :rule bool-impl-elim :args (@t13 @t295)) % 15.95/16.13 (step @p323 :rule trans :premises (@p322 @p321)) % 15.95/16.13 (step @p324 :rule cong :premises (@p323) :args ((forall @t14 (=> @t13 @t295)))) % 15.95/16.13 (step @p325 :rule trans :premises (@p324 @p320)) % 15.95/16.13 (step @p326 :rule aci_norm :args ((= (or @t120 @t119 @t118 @t191 @t296 @t264) @t295))) % 15.95/16.13 (step @p327 :rule eq-symm :args (tptp.nil @t12)) % 15.95/16.13 (step @p328 :rule eq-symm :args (tptp.nil @t10)) % 15.95/16.13 (step @p329 :rule cong :premises (@p328) :args (@t80)) % 15.95/16.13 (step @p330 :rule nary_cong :premises (@p329 @p327) :args (@t81)) % 15.95/16.13 (step @p331 :rule quant-miniscope-or :args ((= (forall @t31 @t297) @t296))) % 15.95/16.13 (step @p332 :rule aci_norm :args ((= @t298 @t297))) % 15.95/16.13 (step @p333 :rule cong :premises (@p332) :args ((forall @t31 @t298))) % 15.95/16.13 (step @p334 :rule trans :premises (@p333 @p331)) % 15.95/16.13 (step @p335 :rule aci_norm :args ((= (or @t287 @t299) @t298))) % 15.95/16.13 (step @p336 :rule bool-impl-elim :args (@t30 @t299)) % 15.95/16.13 (step @p337 :rule trans :premises (@p336 @p335)) % 15.95/16.13 (step @p338 :rule cong :premises (@p337) :args ((forall @t31 (=> @t30 @t299)))) % 15.95/16.13 (step @p339 :rule trans :premises (@p338 @p334)) % 15.95/16.13 (step @p340 :rule aci_norm :args ((= @t302 @t284))) % 15.95/16.13 (step @p341 :rule cong :premises (@p340) :args (@t303)) % 15.95/16.13 (step @p342 :rule quant-merge-prenex :args ((= (forall @t105 @t304) @t303))) % 15.95/16.13 (step @p343 :rule alpha_equiv :args (@t305 (@list @t133) (@list @t96))) % 15.95/16.13 (step @p344 :rule alpha_equiv :args (@t306 (@list @t136 @t137) (@list @t83 @t307))) % 15.95/16.13 (step @p345 :rule refl :args (@t143)) % 15.95/16.13 (step @p346 :rule nary_cong :premises (@p345 @p344 @p343) :args (@t308)) % 15.95/16.13 (step @p347 :rule quant-miniscope-or :args ((= @t304 @t308))) % 15.95/16.13 (step @p348 :rule trans :premises (@p347 @p346)) % 15.95/16.13 (step @p349 :rule symm :premises (@p348)) % 15.95/16.13 (step @p350 :rule cong :premises (@p349) :args ((forall @t105 @t321))) % 15.95/16.13 (step @p351 :rule trans :premises (@p350 @p342)) % 15.95/16.13 (step @p352 :rule trans :premises (@p351 @p341)) % 15.95/16.13 (step @p353 :rule aci_norm :args ((= (or @t143 @t322) @t321))) % 15.95/16.13 (step @p354 :rule bool-double-not-elim :args (@t322)) % 15.95/16.13 (step @p355 :rule nary_cong :premises (@p345 @p354) :args ((or @t143 (not @t323)))) % 15.95/16.13 (step @p356 :rule bool-and-de-morgan :args (@t103 @t323 true)) % 15.95/16.13 (step @p357 :rule trans :premises (@p356 @p355)) % 15.95/16.13 (step @p358 :rule trans :premises (@p357 @p353)) % 15.95/16.13 (step @p359 :rule cong :premises (@p358) :args (@t325)) % 15.95/16.13 (step @p360 :rule trans :premises (@p359 @p352)) % 15.95/16.13 (step @p361 :rule cong :premises (@p360) :args (@t326)) % 15.95/16.13 (step @p362 :rule exists-elim :args ((= (exists @t105 @t324) @t326))) % 15.95/16.13 (step @p363 :rule trans :premises (@p362 @p361)) % 15.95/16.13 (step @p364 :rule quant-miniscope-or :args ((= (forall @t101 @t327) @t322))) % 15.95/16.13 (step @p365 :rule aci_norm :args ((= @t328 @t327))) % 15.95/16.13 (step @p366 :rule cong :premises (@p365) :args ((forall @t101 @t328))) % 15.95/16.13 (step @p367 :rule trans :premises (@p366 @p364)) % 15.95/16.13 (step @p368 :rule bool-double-not-elim :args (@t320)) % 15.95/16.13 (step @p369 :rule refl :args (@t310)) % 15.95/16.13 (step @p370 :rule refl :args (@t311)) % 15.95/16.13 (step @p371 :rule nary_cong :premises (@p370 @p369 @p368) :args (@t331)) % 15.95/16.13 (step @p372 :rule aci_norm :args ((= (or @t311 (or @t310 @t330)) @t331))) % 15.95/16.13 (step @p373 :rule trans :premises (@p372 @p371)) % 15.95/16.13 (step @p374 :rule bool-and-de-morgan :args (@t309 @t329 true)) % 15.95/16.13 (step @p375 :rule nary_cong :premises (@p370 @p374) :args ((or @t311 (not (and @t309 @t329))))) % 15.95/16.13 (step @p376 :rule bool-and-de-morgan :args (@t99 @t309 (and @t329))) % 15.95/16.13 (step @p377 :rule trans :premises (@p376 @p375)) % 15.95/16.13 (step @p378 :rule trans :premises (@p377 @p373)) % 15.95/16.13 (step @p379 :rule cong :premises (@p378) :args (@t333)) % 15.95/16.13 (step @p380 :rule trans :premises (@p379 @p367)) % 15.95/16.13 (step @p381 :rule cong :premises (@p380) :args (@t334)) % 15.95/16.13 (step @p382 :rule exists-elim :args ((= (exists @t101 @t332) @t334))) % 15.95/16.13 (step @p383 :rule trans :premises (@p382 @p381)) % 15.95/16.13 (step @p384 :rule aci_norm :args ((= @t336 @t318))) % 15.95/16.13 (step @p385 :rule cong :premises (@p384) :args (@t337)) % 15.95/16.13 (step @p386 :rule quant-merge-prenex :args ((= (forall @t94 @t339) @t337))) % 15.95/16.13 (step @p387 :rule alpha_equiv :args (@t340 (@list @t307) (@list @t86))) % 15.95/16.13 (step @p388 :rule refl :args (@t316)) % 15.95/16.13 (step @p389 :rule refl :args (@t317)) % 15.95/16.13 (step @p390 :rule nary_cong :premises (@p389 @p388 @p387) :args (@t341)) % 15.95/16.13 (step @p391 :rule quant-miniscope-or :args ((= @t339 @t341))) % 15.95/16.13 (step @p392 :rule trans :premises (@p391 @p390)) % 15.95/16.13 (step @p393 :rule symm :premises (@p392)) % 15.95/16.13 (step @p394 :rule cong :premises (@p393) :args ((forall @t94 @t347))) % 15.95/16.13 (step @p395 :rule trans :premises (@p394 @p386)) % 15.95/16.13 (step @p396 :rule trans :premises (@p395 @p385)) % 15.95/16.13 (step @p397 :rule aci_norm :args ((= (or @t317 @t348) @t347))) % 15.95/16.13 (step @p398 :rule bool-double-not-elim :args (@t348)) % 15.95/16.13 (step @p399 :rule nary_cong :premises (@p389 @p398) :args ((or @t317 (not @t349)))) % 15.95/16.13 (step @p400 :rule bool-and-de-morgan :args (@t92 @t349 true)) % 15.95/16.13 (step @p401 :rule trans :premises (@p400 @p399)) % 15.95/16.13 (step @p402 :rule trans :premises (@p401 @p397)) % 15.95/16.13 (step @p403 :rule cong :premises (@p402) :args (@t351)) % 15.95/16.13 (step @p404 :rule trans :premises (@p403 @p396)) % 15.95/16.13 (step @p405 :rule cong :premises (@p404) :args (@t352)) % 15.95/16.13 (step @p406 :rule exists-elim :args ((= (exists @t94 @t350) @t352))) % 15.95/16.13 (step @p407 :rule trans :premises (@p406 @p405)) % 15.95/16.13 (step @p408 :rule quant-miniscope-or :args ((= (forall @t90 @t353) @t348))) % 15.95/16.13 (step @p409 :rule aci_norm :args ((= @t354 @t353))) % 15.95/16.13 (step @p410 :rule cong :premises (@p409) :args ((forall @t90 @t354))) % 15.95/16.13 (step @p411 :rule trans :premises (@p410 @p408)) % 15.95/16.13 (step @p412 :rule aci_norm :args ((= (or @t344 (or @t343 @t316)) @t354))) % 15.95/16.13 (step @p413 :rule bool-and-de-morgan :args (@t342 @t84 true)) % 15.95/16.13 (step @p414 :rule refl :args (@t344)) % 15.95/16.13 (step @p415 :rule nary_cong :premises (@p414 @p413) :args ((or @t344 (not (and @t342 @t84))))) % 15.95/16.13 (step @p416 :rule bool-and-de-morgan :args (@t88 @t342 (and @t84))) % 15.95/16.13 (step @p417 :rule trans :premises (@p416 @p415)) % 15.95/16.13 (step @p418 :rule trans :premises (@p417 @p412)) % 15.95/16.13 (step @p419 :rule cong :premises (@p418) :args (@t356)) % 15.95/16.13 (step @p420 :rule trans :premises (@p419 @p411)) % 15.95/16.13 (step @p421 :rule cong :premises (@p420) :args (@t357)) % 15.95/16.13 (step @p422 :rule exists-elim :args ((= (exists @t90 @t355) @t357))) % 15.95/16.13 (step @p423 :rule trans :premises (@p422 @p421)) % 15.95/16.13 (step @p424 :rule refl :args (@t84)) % 15.95/16.13 (step @p425 :rule eq-symm :args (@t87 @t12)) % 15.95/16.13 (step @p426 :rule refl :args (@t88)) % 15.95/16.13 (step @p427 :rule nary_cong :premises (@p426 @p425 @p424) :args (@t89)) % 15.95/16.13 (step @p428 :rule cong :premises (@p427) :args (@t91)) % 15.95/16.13 (step @p429 :rule trans :premises (@p428 @p423)) % 15.95/16.13 (step @p430 :rule refl :args (@t92)) % 15.95/16.13 (step @p431 :rule nary_cong :premises (@p430 @p429) :args (@t93)) % 15.95/16.13 (step @p432 :rule cong :premises (@p431) :args (@t95)) % 15.95/16.13 (step @p433 :rule trans :premises (@p432 @p407)) % 15.95/16.13 (step @p434 :rule eq-symm :args (@t98 @t27)) % 15.95/16.13 (step @p435 :rule refl :args (@t99)) % 15.95/16.13 (step @p436 :rule nary_cong :premises (@p435 @p434 @p433) :args (@t100)) % 15.95/16.13 (step @p437 :rule cong :premises (@p436) :args (@t102)) % 15.95/16.13 (step @p438 :rule trans :premises (@p437 @p383)) % 15.95/16.13 (step @p439 :rule refl :args (@t103)) % 15.95/16.13 (step @p440 :rule nary_cong :premises (@p439 @p438) :args (@t104)) % 15.95/16.13 (step @p441 :rule cong :premises (@p440) :args (@t106)) % 15.95/16.13 (step @p442 :rule trans :premises (@p441 @p363)) % 15.95/16.13 (step @p443 :rule eq-symm :args (@t108 @t10)) % 15.95/16.13 (step @p444 :rule cong :premises (@p443) :args (@t109)) % 15.95/16.13 (step @p445 :rule nary_cong :premises (@p444 @p312 @p442) :args (@t110)) % 15.95/16.13 (step @p446 :rule refl :args (@t30)) % 15.95/16.13 (step @p447 :rule cong :premises (@p446 @p445) :args (@t111)) % 15.95/16.13 (step @p448 :rule cong :premises (@p447) :args (@t112)) % 15.95/16.13 (step @p449 :rule trans :premises (@p448 @p339)) % 15.95/16.13 (step @p450 :rule aci_norm :args ((= (or @t152 (or @t151 (or @t189 @t150))) @t190))) % 15.95/16.13 (step @p451 :rule bool-and-de-morgan :args (@t114 @t113 true)) % 15.95/16.13 (step @p452 :rule refl :args (@t151)) % 15.95/16.13 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t151 (not (and @t114 @t113))))) % 15.95/16.13 (step @p454 :rule bool-and-de-morgan :args (@t115 @t114 (and @t113))) % 15.95/16.13 (step @p455 :rule trans :premises (@p454 @p453)) % 15.95/16.13 (step @p456 :rule refl :args (@t152)) % 15.95/16.13 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t152 (not (and @t115 @t114 @t113))))) % 15.95/16.13 (step @p458 :rule bool-and-de-morgan :args (@t32 @t115 (and @t114 @t113))) % 15.95/16.13 (step @p459 :rule trans :premises (@p458 @p457)) % 15.95/16.13 (step @p460 :rule trans :premises (@p459 @p450)) % 15.95/16.13 (step @p461 :rule cong :premises (@p460) :args (@t358)) % 15.95/16.13 (step @p462 :rule cong :premises (@p461) :args (@t359)) % 15.95/16.13 (step @p463 :rule exists-elim :args ((= @t117 @t359))) % 15.95/16.13 (step @p464 :rule trans :premises (@p463 @p462)) % 15.95/16.13 (step @p465 :rule nary_cong :premises (@p296 @p313 @p233 @p464 @p449 @p330) :args (@t121)) % 15.95/16.13 (step @p466 :rule trans :premises (@p465 @p326)) % 15.95/16.13 (step @p467 :rule refl :args (@t13)) % 15.95/16.13 (step @p468 :rule cong :premises (@p467 @p466) :args (@t122)) % 15.95/16.13 (step @p469 :rule cong :premises (@p468) :args (@t123)) % 15.95/16.13 (step @p470 :rule trans :premises (@p469 @p325)) % 15.95/16.13 (step @p471 :rule refl :args (@t15)) % 15.95/16.13 (step @p472 :rule cong :premises (@p471 @p470) :args (@t124)) % 15.95/16.13 (step @p473 :rule cong :premises (@p472) :args (@t125)) % 15.95/16.13 (step @p474 :rule trans :premises (@p473 @p245)) % 15.95/16.13 (step @p475 :rule refl :args (@t21)) % 15.95/16.13 (step @p476 :rule cong :premises (@p475 @p474) :args (@t126)) % 15.95/16.13 (step @p477 :rule cong :premises (@p476) :args (@t127)) % 15.95/16.13 (step @p478 :rule trans :premises (@p477 @p180)) % 15.95/16.13 (step @p479 :rule cong :premises (@p101 @p478) :args (@t128)) % 15.95/16.13 (step @p480 :rule cong :premises (@p479) :args (@t129)) % 15.95/16.13 (step @p481 :rule trans :premises (@p480 @p124)) % 15.95/16.13 (step @p482 :rule cong :premises (@p481) :args (@t130)) % 15.95/16.13 (step @p483 :rule eq_resolve :premises (@p96 @p482)) % 15.95/16.13 (step @p484 :rule refl :args (@t378)) % 15.95/16.13 (step @p485 :rule bool-double-not-elim :args (@t160)) % 15.95/16.13 (step @p486 :rule nary_cong :premises (@p485 @p484) :args ((or (not @t379) @t378))) % 15.95/16.13 (step @p487 :rule refl :args (@t361)) % 15.95/16.13 (step @p488 :rule eq-symm :args (@t161 @t138)) % 15.95/16.13 (step @p489 :rule cong :premises (@p488) :args (@t380)) % 15.95/16.13 (step @p490 :rule nary_cong :premises (@p290 @p289 @p288 @p287 @p489 @p285 @p487) :args (@t381)) % 15.95/16.13 (step @p491 :rule cong :premises (@p490) :args (@t382)) % 15.95/16.13 (step @p492 :rule cong :premises (@p491) :args (@t383)) % 15.95/16.13 (step @p493 :rule refl :args (@t363)) % 15.95/16.13 (step @p494 :rule eq-symm :args (@t161 tptp.nil)) % 15.95/16.13 (step @p495 :rule refl :args (@t367)) % 15.95/16.13 (step @p496 :rule nary_cong :premises (@p495 @p494) :args (@t385)) % 15.95/16.13 (step @p497 :rule refl :args (@t370)) % 15.95/16.13 (step @p498 :rule refl :args (@t372)) % 15.95/16.13 (step @p499 :rule refl :args (@t373)) % 15.95/16.13 (step @p500 :rule refl :args (@t374)) % 15.95/16.13 (step @p501 :rule refl :args (@t376)) % 15.95/16.13 (step @p502 :rule nary_cong :premises (@p501 @p500 @p499 @p498 @p497 @p496 @p493 @p492) :args (@t386)) % 15.95/16.13 (step @p503 :rule cong :premises (@p502) :args (@t387)) % 15.95/16.13 (step @p504 :rule refl :args (@t379)) % 15.95/16.13 (step @p505 :rule cong :premises (@p504 @p503) :args ((=> @t379 @t387))) % 15.95/16.13 (assume-push @p764 @t379) % 15.95/16.13 (step @p507 :rule skolemize :premises (@p483)) % 15.95/16.13 (step-pop @p765 :rule scope :premises (@p507)) % 15.95/16.13 (step @p508 :rule process_scope :premises (@p765) :args (@t387)) % 15.95/16.13 (step @p510 :rule eq_resolve :premises (@p508 @p505)) % 15.95/16.13 (step @p511 :rule implies_elim :premises (@p510)) % 15.95/16.13 (step @p512 :rule eq_resolve :premises (@p511 @p486)) % 15.95/16.13 (step @p513 :rule chain_m_resolution :premises (@p512 @p483) :args (@t378 @t388 (@list @t160))) % 15.95/16.13 (step @p514 :rule bool-double-not-elim :args (@t375)) % 15.95/16.13 (step @p515 :rule refl :args (@t377)) % 15.95/16.13 (step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or @t377 (not @t376)))) % 15.95/16.13 (step @p517 :rule cnf_or_neg :args (@t377 0)) % 15.95/16.13 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 15.95/16.13 (step @p519 :rule reordering :premises (@p518) :args ((or @t375 @t377))) % 15.95/16.13 (step @p520 :rule chain_m_resolution :premises (@p519 @p513) :args (@t375 @t388 @t389)) % 15.95/16.13 (step @p521 :rule cnf_or_pos :args (@t392)) % 15.95/16.13 (step @p522 :rule reordering :premises (@p521) :args ((or @t376 @t391 (not @t392)))) % 15.95/16.13 (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p106) :args (@t391 @t393 (@list @t375 @t392))) % 15.95/16.13 (step @p524 :rule bool-double-not-elim :args (@t369)) % 15.95/16.13 (step @p525 :rule nary_cong :premises (@p515 @p524) :args ((or @t377 (not @t370)))) % 15.95/16.13 (step @p526 :rule cnf_or_neg :args (@t377 4)) % 15.95/16.13 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 15.95/16.13 (step @p528 :rule reordering :premises (@p527) :args ((or @t369 @t377))) % 15.95/16.13 (step @p529 :rule chain_m_resolution :premises (@p528 @p513) :args (@t369 @t388 @t389)) % 15.95/16.13 (step @p530 :rule instantiate :premises (@p529) :args (@t162)) % 15.95/16.13 (step @p531 :rule bool-impl-elim :args (@t17 @t63)) % 15.95/16.13 (step @p532 :rule cong :premises (@p531) :args (@t64)) % 15.95/16.13 (step @p533 :rule eq_resolve :premises (@p55 @p532)) % 15.95/16.13 (step @p534 :rule instantiate :premises (@p533) :args (@t162)) % 15.95/16.13 (step @p535 :rule cnf_or_pos :args (@t395)) % 15.95/16.13 (step @p536 :rule reordering :premises (@p535) :args ((or @t376 @t394 (not @t395)))) % 15.95/16.13 (step @p537 :rule chain_m_resolution :premises (@p536 @p520 @p534) :args (@t394 @t393 (@list @t375 @t395))) % 15.95/16.13 (step @p538 :rule aci_norm :args ((= @t401 @t399))) % 15.95/16.13 (step @p539 :rule cong :premises (@p538) :args (@t403)) % 15.95/16.13 (step @p540 :rule quant-merge-prenex :args ((= (forall @t9 @t405) @t403))) % 15.95/16.13 (step @p541 :rule alpha_equiv :args (@t406 (@list @t396) (@list @t1))) % 15.95/16.13 (step @p542 :rule nary_cong :premises (@p112 @p541) :args (@t407)) % 15.95/16.13 (step @p543 :rule quant-miniscope-or :args ((= @t405 @t407))) % 15.95/16.13 (step @p544 :rule trans :premises (@p543 @p542)) % 15.95/16.13 (step @p545 :rule symm :premises (@p544)) % 15.95/16.13 (step @p546 :rule cong :premises (@p545) :args ((forall @t9 (or @t157 @t408)))) % 15.95/16.13 (step @p547 :rule trans :premises (@p546 @p540)) % 15.95/16.13 (step @p548 :rule trans :premises (@p547 @p539)) % 15.95/16.13 (step @p549 :rule bool-impl-elim :args (@t17 @t408)) % 15.95/16.13 (step @p550 :rule cong :premises (@p549) :args ((forall @t9 (=> @t17 @t408)))) % 15.95/16.13 (step @p551 :rule trans :premises (@p550 @p548)) % 15.95/16.13 (step @p552 :rule bool-impl-elim :args (@t21 @t5)) % 15.95/16.13 (step @p553 :rule cong :premises (@p552) :args (@t38)) % 15.95/16.13 (step @p554 :rule cong :premises (@p101 @p553) :args (@t39)) % 15.95/16.13 (step @p555 :rule cong :premises (@p554) :args (@t40)) % 15.95/16.13 (step @p556 :rule trans :premises (@p555 @p551)) % 15.95/16.13 (step @p557 :rule eq_resolve :premises (@p15 @p556)) % 15.95/16.13 (step @p558 :rule eq-symm :args (@t409 @t410)) % 15.95/16.13 (step @p559 :rule cong :premises (@p494) :args (@t411)) % 15.95/16.13 (step @p560 :rule refl :args (@t409)) % 15.95/16.13 (step @p561 :rule cong :premises (@p560 @p559) :args (@t412)) % 15.95/16.13 (step @p562 :rule trans :premises (@p561 @p558)) % 15.95/16.13 (step @p563 :rule refl :args (@t413)) % 15.95/16.13 (step @p564 :rule nary_cong :premises (@p501 @p563 @p562) :args (@t414)) % 15.95/16.13 (step @p565 :rule refl :args (@t415)) % 15.95/16.13 (step @p566 :rule cong :premises (@p565 @p564) :args ((=> @t415 @t414))) % 15.95/16.13 (assume-push @p766 @t415) % 15.95/16.13 (step @p568 :rule instantiate :premises (@p557) :args ((@list @t161 tptp.nil))) % 15.95/16.13 (step-pop @p767 :rule scope :premises (@p568)) % 15.95/16.13 (step @p569 :rule process_scope :premises (@p767) :args (@t414)) % 15.95/16.13 (step @p571 :rule eq_resolve :premises (@p569 @p566)) % 15.95/16.13 (step @p572 :rule implies_elim :premises (@p571)) % 15.95/16.13 (step @p573 :rule chain_m_resolution :premises (@p572 @p557) :args (@t417 @t418 @t419)) % 15.95/16.13 (step @p574 :rule cnf_or_pos :args (@t417)) % 15.95/16.13 (step @p575 :rule reordering :premises (@p574) :args ((or @t413 @t376 @t416 (not @t417)))) % 15.95/16.13 (step @p576 :rule chain_m_resolution :premises (@p575 @p17 @p520 @p573) :args (@t416 (@list false false false) (@list @t42 @t375 @t417))) % 15.95/16.13 (step @p577 :rule cnf_or_neg :args (@t377 5)) % 15.95/16.13 (step @p578 :rule chain_m_resolution :premises (@p577 @p513) :args ((not @t368) @t388 @t389)) % 15.95/16.13 (step @p579 :rule bool-eq-false :args (@t420)) % 15.95/16.13 (step @p580 :rule eq-refl :args (tptp.nil)) % 15.95/16.13 (step @p581 :rule cong :premises (@p580) :args (@t421)) % 15.95/16.13 (step @p582 :rule trans :premises (@p581 @p127)) % 15.95/16.13 (step @p583 :rule refl :args (@t420)) % 15.95/16.13 (step @p584 :rule cong :premises (@p583 @p582) :args (@t422)) % 15.95/16.13 (step @p585 :rule trans :premises (@p584 @p579)) % 15.95/16.13 (step @p586 :rule nary_cong :premises (@p563 @p563 @p585) :args (@t423)) % 15.95/16.13 (step @p587 :rule cong :premises (@p565 @p586) :args ((=> @t415 @t423))) % 15.95/16.13 (assume-push @p768 @t415) % 15.95/16.13 (step @p589 :rule instantiate :premises (@p557) :args ((@list tptp.nil tptp.nil))) % 15.95/16.13 (step-pop @p769 :rule scope :premises (@p589)) % 15.95/16.13 (step @p590 :rule process_scope :premises (@p769) :args (@t423)) % 15.95/16.13 (step @p592 :rule eq_resolve :premises (@p590 @p587)) % 15.95/16.13 (step @p593 :rule implies_elim :premises (@p592)) % 15.95/16.13 (step @p594 :rule chain_m_resolution :premises (@p593 @p557) :args (@t425 @t418 @t419)) % 15.95/16.13 (step @p595 :rule cnf_or_pos :args (@t425)) % 15.95/16.13 (step @p596 :rule factoring :premises (@p595)) % 15.95/16.13 (step @p597 :rule reordering :premises (@p596) :args ((or @t413 @t424 (not @t425)))) % 15.95/16.13 (step @p598 :rule chain_m_resolution :premises (@p597 @p17 @p594) :args (@t424 @t393 (@list @t42 @t425))) % 15.95/16.13 (step @p599 :rule bool-double-not-elim :args (@t371)) % 15.95/16.13 (step @p600 :rule nary_cong :premises (@p515 @p599) :args ((or @t377 (not @t372)))) % 15.95/16.13 (step @p601 :rule cnf_or_neg :args (@t377 3)) % 15.95/16.13 (step @p602 :rule eq_resolve :premises (@p601 @p600)) % 15.95/16.13 (step @p603 :rule reordering :premises (@p602) :args ((or @t371 @t377))) % 15.95/16.13 (step @p604 :rule chain_m_resolution :premises (@p603 @p513) :args (@t371 @t388 @t389)) % 15.95/16.13 (step @p605 :rule bool-double-not-elim :args (@t420)) % 15.95/16.13 (step @p606 :rule nary_cong :premises (@p498 @p495 @p605) :args ((or @t372 @t367 (not @t424)))) % 15.95/16.13 (assume-push @p770 @t371) % 15.95/16.13 (assume-push @p771 @t366) % 15.95/16.13 (assume-push @p772 @t424) % 15.95/16.13 (step @p610 :rule evaluate :args (@t426)) % 15.95/16.13 (step @p611 :rule true_intro :premises (@p604)) % 15.95/16.13 (step @p612 :rule refl :args (tptp.nil)) % 15.95/16.13 (step @p613 :rule cong :premises (@p771 @p612) :args (@t420)) % 15.95/16.13 (step @p614 :rule false_intro :premises (@p598)) % 15.95/16.13 (step @p615 :rule symm :premises (@p614)) % 15.95/16.13 (step @p616 :rule trans :premises (@p615 @p613 @p611)) % 15.95/16.13 (step @p617 false :rule eq_resolve :premises (@p616 @p610)) % 15.95/16.13 (step-pop @p773 :rule scope :premises (@p617)) % 15.95/16.13 (step-pop @p774 :rule scope :premises (@p773)) % 15.95/16.13 (step-pop @p775 :rule scope :premises (@p774)) % 15.95/16.13 (step @p618 :rule process_scope :premises (@p775) :args (false)) % 15.95/16.13 (step @p622 :rule not_and :premises (@p618)) % 15.95/16.13 (step @p623 :rule eq_resolve :premises (@p622 @p606)) % 15.95/16.13 (step @p624 :rule chain_m_resolution :premises (@p623 @p604 @p598) :args (@t367 (@list false true) (@list @t371 @t420))) % 15.95/16.13 (step @p625 :rule refl :args (@t410)) % 15.95/16.13 (step @p626 :rule bool-double-not-elim :args (@t366)) % 15.95/16.13 (step @p627 :rule refl :args (@t368)) % 15.95/16.13 (step @p628 :rule nary_cong :premises (@p627 @p626 @p625) :args ((or @t368 (not @t367) @t410))) % 15.95/16.13 (step @p629 :rule cnf_and_neg :args (@t368)) % 15.95/16.13 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 15.95/16.13 (step @p631 :rule reordering :premises (@p630) :args ((or @t366 @t368 @t410))) % 15.95/16.13 (step @p632 :rule chain_m_resolution :premises (@p631 @p624 @p578) :args (@t410 (@list true true) (@list @t366 @t368))) % 15.95/16.13 (step @p633 :rule bool-double-not-elim :args (@t364)) % 15.95/16.13 (step @p634 :rule refl :args (@t427)) % 15.95/16.13 (step @p635 :rule nary_cong :premises (@p634 @p633 @p560) :args ((or @t427 (not @t410) @t409))) % 15.95/16.13 (step @p636 :rule cnf_equiv_pos1 :args (@t416)) % 15.95/16.13 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 15.95/16.13 (step @p638 :rule reordering :premises (@p637) :args ((or @t364 @t409 @t427))) % 15.95/16.13 (step @p639 :rule chain_m_resolution :premises (@p638 @p632 @p576) :args (@t409 (@list true false) (@list @t364 @t416))) % 15.95/16.13 (step @p640 :rule cnf_or_pos :args (@t432)) % 15.95/16.13 (step @p641 :rule reordering :premises (@p640) :args ((or @t376 @t431 @t430 @t428 (not @t432)))) % 15.95/16.13 (step @p642 :rule chain_m_resolution :premises (@p641 @p520 @p639 @p537 @p530) :args (@t430 (@list false false false false) (@list @t375 @t409 @t394 @t432))) % 15.95/16.13 (step @p643 :rule aci_norm :args ((= @t442 (or @t157 @t440 @t439 @t438 @t437 @t436)))) % 15.95/16.13 (step @p644 :rule cong :premises (@p643) :args (@t443)) % 15.95/16.13 (step @p645 :rule quant-merge-prenex :args ((= (forall @t9 @t445) @t443))) % 15.95/16.13 (step @p646 :rule alpha_equiv :args (@t446 (@list @t433 @t435 @t434) (@list @t1 @t448 @t447))) % 15.95/16.13 (step @p647 :rule nary_cong :premises (@p112 @p646) :args (@t449)) % 15.95/16.13 (step @p648 :rule quant-miniscope-or :args ((= @t445 @t449))) % 15.95/16.13 (step @p649 :rule trans :premises (@p648 @p647)) % 15.95/16.13 (step @p650 :rule symm :premises (@p649)) % 15.95/16.13 (step @p651 :rule cong :premises (@p650) :args ((forall @t9 (or @t157 @t456)))) % 15.95/16.13 (step @p652 :rule trans :premises (@p651 @p645)) % 15.95/16.13 (step @p653 :rule trans :premises (@p652 @p644)) % 15.95/16.13 (step @p654 :rule bool-impl-elim :args (@t17 @t456)) % 15.95/16.13 (step @p655 :rule cong :premises (@p654) :args ((forall @t9 (=> @t17 @t456)))) % 15.95/16.13 (step @p656 :rule trans :premises (@p655 @p653)) % 15.95/16.13 (step @p657 :rule aci_norm :args ((= @t458 @t454))) % 15.95/16.13 (step @p658 :rule cong :premises (@p657) :args (@t459)) % 15.95/16.13 (step @p659 :rule quant-merge-prenex :args ((= (forall @t7 @t461) @t459))) % 15.95/16.13 (step @p660 :rule alpha_equiv :args (@t462 (@list @t448 @t447) (@list @t12 @t463))) % 15.95/16.13 (step @p661 :rule refl :args (@t453)) % 15.95/16.13 (step @p662 :rule nary_cong :premises (@p160 @p661 @p660) :args (@t464)) % 15.95/16.13 (step @p663 :rule quant-miniscope-or :args ((= @t461 @t464))) % 15.95/16.13 (step @p664 :rule trans :premises (@p663 @p662)) % 15.95/16.13 (step @p665 :rule symm :premises (@p664)) % 15.95/16.13 (step @p666 :rule cong :premises (@p665) :args ((forall @t7 @t470))) % 15.95/16.13 (step @p667 :rule trans :premises (@p666 @p659)) % 15.95/16.13 (step @p668 :rule trans :premises (@p667 @p658)) % 15.95/16.13 (step @p669 :rule aci_norm :args ((= (or @t192 @t471) @t470))) % 15.95/16.13 (step @p670 :rule bool-impl-elim :args (@t21 @t471)) % 15.95/16.13 (step @p671 :rule trans :premises (@p670 @p669)) % 15.95/16.13 (step @p672 :rule cong :premises (@p671) :args ((forall @t7 (=> @t21 @t471)))) % 15.95/16.13 (step @p673 :rule trans :premises (@p672 @p668)) % 15.95/16.13 (step @p674 :rule aci_norm :args ((= @t473 @t467))) % 15.95/16.13 (step @p675 :rule cong :premises (@p674) :args (@t474)) % 15.95/16.13 (step @p676 :rule quant-merge-prenex :args ((= (forall @t16 @t476) @t474))) % 15.95/16.13 (step @p677 :rule alpha_equiv :args (@t477 (@list @t463) (@list @t10))) % 15.95/16.13 (step @p678 :rule nary_cong :premises (@p205 @p677) :args (@t478)) % 15.95/16.13 (step @p679 :rule quant-miniscope-or :args ((= @t476 @t478))) % 15.95/16.13 (step @p680 :rule trans :premises (@p679 @p678)) % 15.95/16.13 (step @p681 :rule symm :premises (@p680)) % 15.95/16.13 (step @p682 :rule cong :premises (@p681) :args (@t482)) % 15.95/16.13 (step @p683 :rule trans :premises (@p682 @p676)) % 15.95/16.13 (step @p684 :rule trans :premises (@p683 @p675)) % 15.95/16.13 (step @p685 :rule refl :args (@t453)) % 15.95/16.13 (step @p686 :rule nary_cong :premises (@p685 @p684) :args (@t483)) % 15.95/16.13 (step @p687 :rule quant-miniscope-or :args ((= (forall @t16 @t484) @t483))) % 15.95/16.13 (step @p688 :rule aci_norm :args ((= @t485 @t484))) % 15.95/16.13 (step @p689 :rule cong :premises (@p688) :args ((forall @t16 @t485))) % 15.95/16.13 (step @p690 :rule trans :premises (@p689 @p687)) % 15.95/16.13 (step @p691 :rule trans :premises (@p690 @p686)) % 15.95/16.13 (step @p692 :rule aci_norm :args ((= (or @t230 @t486) @t485))) % 15.95/16.13 (step @p693 :rule bool-impl-elim :args (@t15 @t486)) % 15.95/16.13 (step @p694 :rule trans :premises (@p693 @p692)) % 15.95/16.13 (step @p695 :rule cong :premises (@p694) :args ((forall @t16 (=> @t15 @t486)))) % 15.95/16.13 (step @p696 :rule trans :premises (@p695 @p691)) % 15.95/16.13 (step @p697 :rule quant-miniscope-or :args ((= (forall @t14 @t487) @t486))) % 15.95/16.13 (step @p698 :rule aci_norm :args ((= @t488 @t487))) % 15.95/16.13 (step @p699 :rule cong :premises (@p698) :args ((forall @t14 @t488))) % 15.95/16.13 (step @p700 :rule trans :premises (@p699 @p697)) % 15.95/16.13 (step @p701 :rule aci_norm :args ((= (or @t265 (or @t453 @t65)) @t488))) % 15.95/16.13 (step @p702 :rule bool-impl-elim :args (@t24 @t65)) % 15.95/16.13 (step @p703 :rule nary_cong :premises (@p269 @p702) :args ((or @t265 @t66))) % 15.95/16.13 (step @p704 :rule trans :premises (@p703 @p701)) % 15.95/16.13 (step @p705 :rule bool-impl-elim :args (@t13 @t66)) % 15.95/16.13 (step @p706 :rule trans :premises (@p705 @p704)) % 15.95/16.13 (step @p707 :rule cong :premises (@p706) :args (@t67)) % 15.95/16.13 (step @p708 :rule trans :premises (@p707 @p700)) % 15.95/16.13 (step @p709 :rule cong :premises (@p471 @p708) :args (@t68)) % 15.95/16.13 (step @p710 :rule cong :premises (@p709) :args (@t69)) % 15.95/16.13 (step @p711 :rule trans :premises (@p710 @p696)) % 15.95/16.13 (step @p712 :rule cong :premises (@p475 @p711) :args (@t70)) % 15.95/16.13 (step @p713 :rule cong :premises (@p712) :args (@t71)) % 15.95/16.13 (step @p714 :rule trans :premises (@p713 @p673)) % 15.95/16.13 (step @p715 :rule cong :premises (@p101 @p714) :args (@t72)) % 15.95/16.13 (step @p716 :rule cong :premises (@p715) :args (@t73)) % 15.95/16.13 (step @p717 :rule trans :premises (@p716 @p656)) % 15.95/16.13 (step @p718 :rule eq_resolve :premises (@p56 @p717)) % 15.95/16.13 (step @p719 :rule instantiate :premises (@p718) :args ((@list @t161 @t161 tptp.nil @t360))) % 15.95/16.13 (step @p720 :rule bool-double-not-elim :args (@t362)) % 15.95/16.13 (step @p721 :rule nary_cong :premises (@p515 @p720) :args ((or @t377 (not @t363)))) % 15.95/16.13 (step @p722 :rule cnf_or_neg :args (@t377 6)) % 15.95/16.13 (step @p723 :rule eq_resolve :premises (@p722 @p721)) % 15.95/16.13 (step @p724 :rule reordering :premises (@p723) :args ((or @t362 @t377))) % 15.95/16.13 (step @p725 :rule chain_m_resolution :premises (@p724 @p513) :args (@t362 @t388 @t389)) % 15.95/16.13 (step @p726 :rule cnf_or_pos :args (@t490)) % 15.95/16.13 (step @p727 :rule factoring :premises (@p726)) % 15.95/16.13 (step @p728 :rule reordering :premises (@p727) :args ((or @t413 @t376 @t363 @t428 @t489 (not @t490)))) % 15.95/16.13 (step @p729 :rule chain_m_resolution :premises (@p728 @p17 @p520 @p725 @p537 @p719) :args (@t489 (@list false false false false false) (@list @t42 @t375 @t362 @t394 @t490))) % 15.95/16.13 (step @p730 :rule refl :args (@t491)) % 15.95/16.13 (step @p731 :rule bool-double-not-elim :args (@t429)) % 15.95/16.13 (step @p732 :rule refl :args (@t492)) % 15.95/16.13 (step @p733 :rule nary_cong :premises (@p732 @p731 @p730) :args ((or @t492 (not @t430) @t491))) % 15.95/16.13 (assume-push @p776 @t489) % 15.95/16.13 (assume-push @p777 @t391) % 15.95/16.13 (assume-push @p778 @t430) % 15.95/16.13 (step @p610 :rule evaluate :args (@t426)) % 15.95/16.13 (step @p737 :rule true_intro :premises (@p729)) % 15.95/16.13 (step @p738 :rule refl :args (@t161)) % 15.95/16.13 (step @p739 :rule refl :args (@t360)) % 15.95/16.13 (step @p740 :rule cong :premises (@p523 @p739) :args (@t365)) % 15.95/16.13 (step @p741 :rule cong :premises (@p740 @p738) :args (@t429)) % 15.95/16.13 (step @p742 :rule false_intro :premises (@p778)) % 15.95/16.13 (step @p743 :rule symm :premises (@p742)) % 15.95/16.13 (step @p744 :rule trans :premises (@p743 @p741 @p737)) % 15.95/16.13 (step @p745 false :rule eq_resolve :premises (@p744 @p610)) % 15.95/16.13 (step-pop @p779 :rule scope :premises (@p745)) % 15.95/16.13 (step-pop @p780 :rule scope :premises (@p779)) % 15.95/16.13 (step-pop @p781 :rule scope :premises (@p780)) % 15.95/16.13 (step @p746 :rule process_scope :premises (@p781) :args (false)) % 15.95/16.13 (assume-push @p782 @t391) % 15.95/16.13 (assume-push @p783 @t430) % 15.95/16.13 (assume-push @p784 @t489) % 15.95/16.13 (step @p753 :rule and_intro :premises (@p729 @p523 @p783)) % 15.95/16.13 (step-pop @p785 :rule scope :premises (@p753)) % 15.95/16.13 (step-pop @p786 :rule scope :premises (@p785)) % 15.95/16.13 (step-pop @p787 :rule scope :premises (@p786)) % 15.95/16.13 (step @p754 :rule process_scope :premises (@p787) :args (@t493)) % 15.95/16.13 (step @p758 :rule implies_elim :premises (@p754)) % 15.95/16.13 (step @p759 :rule resolution :premises (@p758 @p746) :args (true @t493)) % 15.95/16.13 (step @p760 :rule not_and :premises (@p759)) % 15.95/16.13 (step @p761 :rule eq_resolve :premises (@p760 @p733)) % 15.95/16.13 (step @p762 :rule reordering :premises (@p761) :args ((or @t429 @t492 @t491))) % 15.95/16.13 (step @p763 false :rule chain_m_resolution :premises (@p762 @p729 @p642 @p523) :args (false (@list false true false) (@list @t489 @t429 @t391))) % 15.95/16.13 ) % 15.95/16.13 % SZS output end Proof % 15.95/16.13 % cvc5 exiting %------------------------------------------------------------------------------