%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC012+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:41 AM UTC 2026 % Result : Theorem 0.85s 1.10s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC012+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:09:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.10 % SZS status Theorem % 0.85/1.10 % SZS output start Proof % 0.85/1.10 ( % 0.85/1.10 (declare-sort $$unsorted 0) % 0.85/1.10 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.85/1.10 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.85/1.10 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.10 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.10 (declare-const tptp.nil $$unsorted) % 0.85/1.10 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.85/1.10 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.85/1.10 (define @t1 () (@var "V" $$unsorted)) % 0.85/1.10 (define @t2 () (@var "U" $$unsorted)) % 0.85/1.10 (define @t3 () (= @t2 @t1)) % 0.85/1.10 (define @t4 () (not @t3)) % 0.85/1.10 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.85/1.10 (define @t6 () (tptp.ssItem @t1)) % 0.85/1.10 (define @t7 () (@list @t1)) % 0.85/1.10 (define @t8 () (tptp.ssItem @t2)) % 0.85/1.10 (define @t9 () (@list @t2)) % 0.85/1.10 (define @t10 () (@var "X" $$unsorted)) % 0.85/1.10 (define @t11 () (tptp.cons @t1 @t10)) % 0.85/1.10 (define @t12 () (@var "W" $$unsorted)) % 0.85/1.10 (define @t13 () (tptp.ssList @t10)) % 0.85/1.10 (define @t14 () (@list @t10)) % 0.85/1.10 (define @t15 () (tptp.ssList @t12)) % 0.85/1.10 (define @t16 () (@list @t12)) % 0.85/1.10 (define @t17 () (tptp.ssList @t2)) % 0.85/1.10 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.85/1.10 (define @t19 () (tptp.app @t1 @t12)) % 0.85/1.10 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.85/1.10 (define @t21 () (tptp.ssList @t1)) % 0.85/1.10 (define @t22 () (tptp.app @t12 @t1)) % 0.85/1.10 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.85/1.10 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.85/1.10 (define @t25 () (tptp.leq @t12 @t1)) % 0.85/1.10 (define @t26 () (tptp.leq @t1 @t12)) % 0.85/1.10 (define @t27 () (@var "Z" $$unsorted)) % 0.85/1.10 (define @t28 () (@var "Y" $$unsorted)) % 0.85/1.10 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.85/1.10 (define @t30 () (tptp.ssList @t27)) % 0.85/1.10 (define @t31 () (@list @t27)) % 0.85/1.10 (define @t32 () (tptp.ssList @t28)) % 0.85/1.10 (define @t33 () (@list @t28)) % 0.85/1.10 (define @t34 () (tptp.ssItem @t12)) % 0.85/1.10 (define @t35 () (tptp.lt @t1 @t12)) % 0.85/1.10 (define @t36 () (= @t1 @t12)) % 0.85/1.10 (define @t37 () (tptp.cons @t1 @t2)) % 0.85/1.10 (define @t38 () (tptp.ssList tptp.nil)) % 0.85/1.10 (define @t39 () (= @t1 @t2)) % 0.85/1.10 (define @t40 () (tptp.cons @t12 @t1)) % 0.85/1.10 (define @t41 () (= tptp.nil @t2)) % 0.85/1.10 (define @t42 () (tptp.hd @t2)) % 0.85/1.10 (define @t43 () (not @t41)) % 0.85/1.10 (define @t44 () (tptp.tl @t2)) % 0.85/1.10 (define @t45 () (tptp.app @t2 @t1)) % 0.85/1.10 (define @t46 () (tptp.app @t1 @t2)) % 0.85/1.10 (define @t47 () (tptp.leq @t1 @t2)) % 0.85/1.10 (define @t48 () (tptp.leq @t2 @t1)) % 0.85/1.10 (define @t49 () (tptp.geq @t2 @t1)) % 0.85/1.10 (define @t50 () (tptp.lt @t1 @t2)) % 0.85/1.10 (define @t51 () (tptp.lt @t2 @t1)) % 0.85/1.10 (define @t52 () (tptp.lt @t2 @t12)) % 0.85/1.10 (define @t53 () (tptp.gt @t2 @t1)) % 0.85/1.10 (define @t54 () (tptp.memberP @t12 @t2)) % 0.85/1.10 (define @t55 () (tptp.app @t12 @t2)) % 0.85/1.10 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.85/1.10 (define @t57 () (tptp.hd @t1)) % 0.85/1.10 (define @t58 () (= tptp.nil @t1)) % 0.85/1.10 (define @t59 () (not @t58)) % 0.85/1.10 (define @t60 () (tptp.cons @t2 @t1)) % 0.85/1.10 (define @t61 () (= @t12 @t2)) % 0.85/1.10 (define @t62 () (tptp.app @t2 tptp.nil)) % 0.85/1.10 (define @t63 () (=> @t17 (= @t62 @t2))) % 0.85/1.10 (define @t64 () (forall @t9 @t63)) % 0.85/1.10 (define @t65 () (tptp.neq @t1 tptp.nil)) % 0.85/1.10 (define @t66 () (not @t65)) % 0.85/1.10 (define @t67 () (or @t66 (tptp.neq @t10 tptp.nil))) % 0.85/1.10 (define @t68 () (@var "X2" $$unsorted)) % 0.85/1.10 (define @t69 () (tptp.app @t12 (tptp.cons @t68 tptp.nil))) % 0.85/1.10 (define @t70 () (not (= @t69 @t10))) % 0.85/1.10 (define @t71 () (tptp.ssItem @t68)) % 0.85/1.10 (define @t72 () (=> @t71 @t70)) % 0.85/1.10 (define @t73 () (@list @t68)) % 0.85/1.10 (define @t74 () (forall @t73 @t72)) % 0.85/1.10 (define @t75 () (@var "X1" $$unsorted)) % 0.85/1.10 (define @t76 () (tptp.app @t27 @t75)) % 0.85/1.10 (define @t77 () (tptp.cons @t28 tptp.nil)) % 0.85/1.10 (define @t78 () (tptp.app @t27 @t77)) % 0.85/1.10 (define @t79 () (tptp.app @t78 @t75)) % 0.85/1.10 (define @t80 () (tptp.ssList @t75)) % 0.85/1.10 (define @t81 () (and @t80 (= @t79 @t1) (= @t76 @t2))) % 0.85/1.10 (define @t82 () (@list @t75)) % 0.85/1.10 (define @t83 () (exists @t82 @t81)) % 0.85/1.10 (define @t84 () (and @t30 @t83)) % 0.85/1.10 (define @t85 () (exists @t31 @t84)) % 0.85/1.10 (define @t86 () (tptp.ssItem @t28)) % 0.85/1.10 (define @t87 () (and @t86 @t85)) % 0.85/1.10 (define @t88 () (exists @t33 @t87)) % 0.85/1.10 (define @t89 () (or @t66 @t88 @t74)) % 0.85/1.10 (define @t90 () (and @t89 @t67)) % 0.85/1.10 (define @t91 () (not (= @t2 @t12))) % 0.85/1.10 (define @t92 () (not (= @t1 @t10))) % 0.85/1.10 (define @t93 () (or @t92 @t91 @t90)) % 0.85/1.10 (define @t94 () (=> @t13 @t93)) % 0.85/1.10 (define @t95 () (forall @t14 @t94)) % 0.85/1.10 (define @t96 () (=> @t15 @t95)) % 0.85/1.10 (define @t97 () (forall @t16 @t96)) % 0.85/1.10 (define @t98 () (=> @t21 @t97)) % 0.85/1.10 (define @t99 () (forall @t7 @t98)) % 0.85/1.10 (define @t100 () (=> @t17 @t99)) % 0.85/1.10 (define @t101 () (forall @t9 @t100)) % 0.85/1.10 (define @t102 () (not @t101)) % 0.85/1.10 (define @t103 () (@var "BOUND_VARIABLE_11148" $$unsorted)) % 0.85/1.10 (define @t104 () (not (tptp.ssItem @t103))) % 0.85/1.10 (define @t105 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 0.85/1.10 (define @t106 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 0.85/1.10 (define @t107 () (tptp.app @t106 @t105)) % 0.85/1.10 (define @t108 () (not (= @t2 @t107))) % 0.85/1.10 (define @t109 () (tptp.app @t2 (tptp.cons @t103 tptp.nil))) % 0.85/1.10 (define @t110 () (tptp.app (tptp.app @t106 @t77) @t105)) % 0.85/1.10 (define @t111 () (not (tptp.ssList @t105))) % 0.85/1.10 (define @t112 () (not (tptp.ssList @t106))) % 0.85/1.10 (define @t113 () (not @t86)) % 0.85/1.10 (define @t114 () (@list @t28 @t106 @t105)) % 0.85/1.10 (define @t115 () (not (forall @t114 (or @t113 @t112 @t111 (not (= @t110 @t109)) @t108)))) % 0.85/1.10 (define @t116 () (not (tptp.neq @t109 tptp.nil))) % 0.85/1.10 (define @t117 () (not (tptp.ssList @t109))) % 0.85/1.10 (define @t118 () (not @t17)) % 0.85/1.10 (define @t119 () (or @t118 @t117 @t116 @t115 @t104)) % 0.85/1.10 (define @t120 () (or @t117 @t116 @t115 @t104)) % 0.85/1.10 (define @t121 () (or @t118 @t120)) % 0.85/1.10 (define @t122 () (@list @t2 @t103)) % 0.85/1.10 (define @t123 () (forall @t122 @t121)) % 0.85/1.10 (define @t124 () (@list @t103)) % 0.85/1.10 (define @t125 () (forall @t124 @t121)) % 0.85/1.10 (define @t126 () (forall @t124 @t120)) % 0.85/1.10 (define @t127 () (@var "BOUND_VARIABLE_11108" $$unsorted)) % 0.85/1.10 (define @t128 () (@list @t127)) % 0.85/1.10 (define @t129 () (or @t118 @t126)) % 0.85/1.10 (define @t130 () (not (tptp.ssItem @t127))) % 0.85/1.10 (define @t131 () (tptp.app @t2 (tptp.cons @t127 tptp.nil))) % 0.85/1.10 (define @t132 () (not (forall @t114 (or @t113 @t112 @t111 (not (= @t110 @t131)) @t108)))) % 0.85/1.10 (define @t133 () (not (tptp.neq @t131 tptp.nil))) % 0.85/1.10 (define @t134 () (not (tptp.ssList @t131))) % 0.85/1.10 (define @t135 () (or @t134 @t133 @t132 @t130)) % 0.85/1.10 (define @t136 () (@list @t127)) % 0.85/1.10 (define @t137 () (or @t118 (forall @t136 @t135))) % 0.85/1.10 (define @t138 () (not (= @t131 @t131))) % 0.85/1.10 (define @t139 () (not (= @t131 @t110))) % 0.85/1.10 (define @t140 () (or @t113 @t112 @t111 @t139 @t108)) % 0.85/1.10 (define @t141 () (forall @t114 @t140)) % 0.85/1.10 (define @t142 () (not @t141)) % 0.85/1.10 (define @t143 () (or @t134 @t133 @t142 @t130 @t138)) % 0.85/1.10 (define @t144 () (not (= @t1 @t131))) % 0.85/1.10 (define @t145 () (not (= @t1 @t110))) % 0.85/1.10 (define @t146 () (or @t113 @t112 @t111 @t145 @t108)) % 0.85/1.10 (define @t147 () (not (forall @t114 @t146))) % 0.85/1.10 (define @t148 () (not @t21)) % 0.85/1.10 (define @t149 () (or @t144 @t148 @t66 @t147 @t130 @t144)) % 0.85/1.10 (define @t150 () (or @t148 @t66 @t147 @t130 @t144)) % 0.85/1.10 (define @t151 () (forall @t7 @t150)) % 0.85/1.10 (define @t152 () (forall @t136 @t151)) % 0.85/1.10 (define @t153 () (forall (@list @t127 @t1) @t150)) % 0.85/1.10 (define @t154 () (@list @t1 @t127)) % 0.85/1.10 (define @t155 () (or @t130 @t144)) % 0.85/1.10 (define @t156 () (or @t148 @t66 @t147 @t155)) % 0.85/1.10 (define @t157 () (forall @t154 @t156)) % 0.85/1.10 (define @t158 () (forall @t136 @t156)) % 0.85/1.10 (define @t159 () (forall @t136 @t155)) % 0.85/1.10 (define @t160 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 0.85/1.10 (define @t161 () (@list @t160)) % 0.85/1.10 (define @t162 () (or @t148 @t66 @t147 @t159)) % 0.85/1.10 (define @t163 () (tptp.cons @t160 tptp.nil)) % 0.85/1.10 (define @t164 () (not (= @t1 (tptp.app @t2 @t163)))) % 0.85/1.10 (define @t165 () (not (tptp.ssItem @t160))) % 0.85/1.10 (define @t166 () (or @t165 @t164)) % 0.85/1.10 (define @t167 () (@list @t160)) % 0.85/1.10 (define @t168 () (forall @t167 @t166)) % 0.85/1.10 (define @t169 () (or @t148 @t66 @t147 @t168)) % 0.85/1.10 (define @t170 () (forall @t7 @t169)) % 0.85/1.10 (define @t171 () (or @t118 @t170)) % 0.85/1.10 (define @t172 () (or @t118 @t169)) % 0.85/1.10 (define @t173 () (or @t148 @t66 @t147 @t118 @t168)) % 0.85/1.10 (define @t174 () (or @t118 @t168)) % 0.85/1.10 (define @t175 () (or @t118 @t166)) % 0.85/1.10 (define @t176 () (or @t118 @t165 @t164)) % 0.85/1.10 (define @t177 () (not (= @t2 @t2))) % 0.85/1.10 (define @t178 () (or @t118 @t177 @t165 @t164)) % 0.85/1.10 (define @t179 () (not (= @t1 (tptp.app @t12 @t163)))) % 0.85/1.10 (define @t180 () (not @t15)) % 0.85/1.10 (define @t181 () (or @t91 @t180 @t91 @t165 @t179)) % 0.85/1.10 (define @t182 () (or @t180 @t91 @t165 @t179)) % 0.85/1.10 (define @t183 () (forall @t16 @t182)) % 0.85/1.10 (define @t184 () (forall @t167 @t183)) % 0.85/1.10 (define @t185 () (forall (@list @t160 @t12) @t182)) % 0.85/1.10 (define @t186 () (@list @t12 @t160)) % 0.85/1.10 (define @t187 () (or @t165 @t179)) % 0.85/1.10 (define @t188 () (or @t180 @t91 @t187)) % 0.85/1.10 (define @t189 () (forall @t186 @t188)) % 0.85/1.10 (define @t190 () (forall @t167 @t188)) % 0.85/1.10 (define @t191 () (forall @t167 @t187)) % 0.85/1.10 (define @t192 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 0.85/1.10 (define @t193 () (@list @t192)) % 0.85/1.10 (define @t194 () (or @t180 @t91 @t191)) % 0.85/1.10 (define @t195 () (tptp.app @t12 (tptp.cons @t192 tptp.nil))) % 0.85/1.10 (define @t196 () (not (= @t1 @t195))) % 0.85/1.10 (define @t197 () (not (tptp.ssItem @t192))) % 0.85/1.10 (define @t198 () (or @t197 @t196)) % 0.85/1.10 (define @t199 () (@list @t192)) % 0.85/1.10 (define @t200 () (forall @t199 @t198)) % 0.85/1.10 (define @t201 () (or @t180 @t91 @t200)) % 0.85/1.10 (define @t202 () (forall @t16 @t201)) % 0.85/1.10 (define @t203 () (or @t148 @t66 @t147 @t202)) % 0.85/1.10 (define @t204 () (or @t148 @t66 @t147 @t201)) % 0.85/1.10 (define @t205 () (or @t180 @t91 @t148 @t66 @t147 @t200)) % 0.85/1.10 (define @t206 () (or @t91 @t148 @t66 @t147 @t200)) % 0.85/1.10 (define @t207 () (or @t148 @t66 @t147 @t200)) % 0.85/1.10 (define @t208 () (or @t148 @t66 @t147 @t198)) % 0.85/1.10 (define @t209 () (or @t148 @t66 @t147 @t197 @t196)) % 0.85/1.10 (define @t210 () (or @t66 @t147 @t197 @t196)) % 0.85/1.10 (define @t211 () (and @t210 true)) % 0.85/1.10 (define @t212 () (or @t148 @t211)) % 0.85/1.10 (define @t213 () (and @t210 (or @t66 @t65))) % 0.85/1.10 (define @t214 () (or @t148 @t213)) % 0.85/1.10 (define @t215 () (not (= @t1 @t1))) % 0.85/1.10 (define @t216 () (or @t148 @t215 @t213)) % 0.85/1.10 (define @t217 () (not (= @t10 @t195))) % 0.85/1.10 (define @t218 () (or @t66 @t147 @t197 @t217)) % 0.85/1.10 (define @t219 () (and @t218 @t67)) % 0.85/1.10 (define @t220 () (not @t13)) % 0.85/1.10 (define @t221 () (or @t92 @t220 @t92 @t219)) % 0.85/1.10 (define @t222 () (or @t220 @t92 @t219)) % 0.85/1.10 (define @t223 () (forall @t14 @t222)) % 0.85/1.10 (define @t224 () (forall @t199 @t223)) % 0.85/1.10 (define @t225 () (forall (@list @t192 @t10) @t222)) % 0.85/1.10 (define @t226 () (@list @t10 @t192)) % 0.85/1.10 (define @t227 () (or @t197 @t217)) % 0.85/1.10 (define @t228 () (or @t66 @t147 @t227)) % 0.85/1.10 (define @t229 () (and @t228 @t67)) % 0.85/1.10 (define @t230 () (or @t220 @t92 @t229)) % 0.85/1.10 (define @t231 () (forall @t226 @t230)) % 0.85/1.10 (define @t232 () (forall @t199 @t230)) % 0.85/1.10 (define @t233 () (forall @t199 @t67)) % 0.85/1.10 (define @t234 () (forall @t199 @t227)) % 0.85/1.10 (define @t235 () (or @t66 @t147 @t234)) % 0.85/1.10 (define @t236 () (forall @t199 @t228)) % 0.85/1.10 (define @t237 () (and @t236 @t233)) % 0.85/1.10 (define @t238 () (forall @t199 @t229)) % 0.85/1.10 (define @t239 () (or @t220 @t92 @t238)) % 0.85/1.10 (define @t240 () (not (= @t10 @t69))) % 0.85/1.10 (define @t241 () (and (or @t66 @t147 (forall @t73 (or (not @t71) @t240))) @t67)) % 0.85/1.10 (define @t242 () (or @t220 @t92 @t241)) % 0.85/1.10 (define @t243 () (forall @t14 @t242)) % 0.85/1.10 (define @t244 () (or @t91 @t243)) % 0.85/1.10 (define @t245 () (or @t91 @t242)) % 0.85/1.10 (define @t246 () (or @t220 @t92 @t91 @t241)) % 0.85/1.10 (define @t247 () (or @t92 @t91 @t241)) % 0.85/1.10 (define @t248 () (or @t112 @t111 @t145 @t108)) % 0.85/1.10 (define @t249 () (or @t113 @t248)) % 0.85/1.10 (define @t250 () (forall @t114 @t249)) % 0.85/1.10 (define @t251 () (@list @t106 @t105)) % 0.85/1.10 (define @t252 () (forall @t251 @t249)) % 0.85/1.10 (define @t253 () (forall @t251 @t248)) % 0.85/1.10 (define @t254 () (@var "BOUND_VARIABLE_10961" $$unsorted)) % 0.85/1.10 (define @t255 () (or @t113 @t253)) % 0.85/1.10 (define @t256 () (not (= @t2 (tptp.app @t27 @t254)))) % 0.85/1.10 (define @t257 () (not (= @t1 (tptp.app @t78 @t254)))) % 0.85/1.10 (define @t258 () (not (tptp.ssList @t254))) % 0.85/1.10 (define @t259 () (not @t30)) % 0.85/1.10 (define @t260 () (or @t259 @t258 @t257 @t256)) % 0.85/1.10 (define @t261 () (@list @t27 @t254)) % 0.85/1.10 (define @t262 () (forall @t261 @t260)) % 0.85/1.10 (define @t263 () (not @t262)) % 0.85/1.10 (define @t264 () (and @t86 @t263)) % 0.85/1.10 (define @t265 () (forall @t33 (not @t264))) % 0.85/1.10 (define @t266 () (not @t265)) % 0.85/1.10 (define @t267 () (or @t258 @t257 @t256)) % 0.85/1.10 (define @t268 () (or @t259 @t267)) % 0.85/1.10 (define @t269 () (forall @t261 @t268)) % 0.85/1.10 (define @t270 () (@list @t254)) % 0.85/1.10 (define @t271 () (forall @t270 @t268)) % 0.85/1.10 (define @t272 () (forall @t270 @t267)) % 0.85/1.10 (define @t273 () (or @t259 @t272)) % 0.85/1.10 (define @t274 () (= @t2 @t76)) % 0.85/1.10 (define @t275 () (not @t274)) % 0.85/1.10 (define @t276 () (= @t1 @t79)) % 0.85/1.10 (define @t277 () (not @t276)) % 0.85/1.10 (define @t278 () (not @t80)) % 0.85/1.10 (define @t279 () (or @t278 @t277 @t275)) % 0.85/1.10 (define @t280 () (forall @t82 @t279)) % 0.85/1.10 (define @t281 () (not @t280)) % 0.85/1.10 (define @t282 () (and @t30 @t281)) % 0.85/1.10 (define @t283 () (forall @t31 (not @t282))) % 0.85/1.10 (define @t284 () (not @t283)) % 0.85/1.10 (define @t285 () (and @t80 @t276 @t274)) % 0.85/1.10 (define @t286 () (forall @t82 (not @t285))) % 0.85/1.10 (define @t287 () (not @t286)) % 0.85/1.10 (define @t288 () (forall @t122 @t119)) % 0.85/1.10 (define @t289 () (@quantifiers_skolemize @t288 1)) % 0.85/1.10 (define @t290 () (tptp.ssItem @t289)) % 0.85/1.10 (define @t291 () (not @t290)) % 0.85/1.10 (define @t292 () (@quantifiers_skolemize @t288 0)) % 0.85/1.10 (define @t293 () (tptp.app @t292 (tptp.cons @t289 tptp.nil))) % 0.85/1.10 (define @t294 () (not (= @t110 @t293))) % 0.85/1.10 (define @t295 () (forall @t114 (or @t113 @t112 @t111 @t294 (not (= @t107 @t292))))) % 0.85/1.10 (define @t296 () (not @t295)) % 0.85/1.10 (define @t297 () (not (tptp.neq @t293 tptp.nil))) % 0.85/1.10 (define @t298 () (tptp.ssList @t293)) % 0.85/1.10 (define @t299 () (not @t298)) % 0.85/1.10 (define @t300 () (tptp.ssList @t292)) % 0.85/1.10 (define @t301 () (not @t300)) % 0.85/1.10 (define @t302 () (or @t301 @t299 @t297 @t296 @t291)) % 0.85/1.10 (define @t303 () (not @t302)) % 0.85/1.10 (define @t304 () (not @t288)) % 0.85/1.10 (define @t305 () (not (= @t292 @t107))) % 0.85/1.10 (define @t306 () (or @t113 @t112 @t111 @t294 @t305)) % 0.85/1.10 (define @t307 () (forall @t114 @t306)) % 0.85/1.10 (define @t308 () (not @t307)) % 0.85/1.10 (define @t309 () (or @t301 @t299 @t297 @t308 @t291)) % 0.85/1.10 (define @t310 () (not @t309)) % 0.85/1.10 (define @t311 () (@list true)) % 0.85/1.10 (define @t312 () (@list @t302)) % 0.85/1.10 (define @t313 () (= @t2 @t62)) % 0.85/1.10 (define @t314 () (tptp.app @t293 tptp.nil)) % 0.85/1.10 (define @t315 () (= @t293 @t314)) % 0.85/1.10 (define @t316 () (or @t299 @t315)) % 0.85/1.10 (define @t317 () (@list false false)) % 0.85/1.10 (define @t318 () (tptp.app @t292 tptp.nil)) % 0.85/1.10 (define @t319 () (= @t292 @t318)) % 0.85/1.10 (define @t320 () (or @t301 @t319)) % 0.85/1.10 (define @t321 () (not @t319)) % 0.85/1.10 (define @t322 () (not @t315)) % 0.85/1.10 (define @t323 () (not @t38)) % 0.85/1.10 (define @t324 () (or @t291 @t301 @t323 @t322 @t321)) % 0.85/1.10 (define @t325 () (not @t324)) % 0.85/1.10 (define @t326 () (not (= @t318 @t292))) % 0.85/1.10 (define @t327 () (not (= @t314 @t293))) % 0.85/1.10 (define @t328 () (or @t291 @t301 @t323 @t327 @t326)) % 0.85/1.10 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.85/1.10 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.85/1.10 (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))))))))))) % 0.85/1.10 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.85/1.10 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.85/1.10 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.85/1.10 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.85/1.10 (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))))))))))))))))) % 0.85/1.10 (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)))))))))))))))) % 0.85/1.10 (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))))))))))))))))) % 0.85/1.10 (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))))))))))))))) % 0.85/1.10 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.85/1.10 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.85/1.10 (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) @t36))))))))))))) % 0.85/1.10 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.85/1.10 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.85/1.10 (assume @p17 @t38) % 0.85/1.10 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.85/1.10 (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) @t39))))))))))) % 0.85/1.10 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.85/1.10 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.85/1.10 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.85/1.10 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.85/1.10 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.85/1.10 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.85/1.10 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.85/1.10 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.85/1.10 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.85/1.10 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.85/1.10 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.85/1.10 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.85/1.10 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.85/1.10 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.85/1.10 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.85/1.10 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.85/1.10 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.85/1.10 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.85/1.10 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.85/1.10 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.85/1.10 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.85/1.10 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.85/1.10 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.85/1.10 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.85/1.10 (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)))))))))))) % 0.85/1.10 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.85/1.10 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.85/1.10 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.85/1.10 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.85/1.10 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.85/1.10 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.85/1.10 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.85/1.10 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.85/1.10 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.85/1.10 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.85/1.10 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.85/1.10 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.85/1.10 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.85/1.10 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.85/1.10 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t56)))) % 0.85/1.10 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.85/1.10 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t56)))) % 0.85/1.10 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.85/1.10 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t56)))) % 0.85/1.10 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.85/1.10 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t56)))) % 0.85/1.10 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.85/1.10 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t60) (or @t58 (and @t59 (tptp.totalorderedP @t1) (tptp.leq @t2 @t57))))))))) % 0.85/1.10 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t56)))) % 0.85/1.10 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.85/1.10 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t60) (or @t58 (and @t59 (tptp.strictorderedP @t1) (tptp.lt @t2 @t57))))))))) % 0.85/1.10 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t56)))) % 0.85/1.10 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.85/1.10 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t56)))) % 0.85/1.10 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.85/1.10 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.85/1.10 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.85/1.10 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t59 @t43 (= @t57 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.85/1.10 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.85/1.10 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t61)))))))) % 0.85/1.10 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t61)))))))) % 0.85/1.10 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.85/1.10 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.85/1.10 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t58 @t41))))))) % 0.85/1.10 (assume @p84 @t64) % 0.85/1.10 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.85/1.10 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.85/1.10 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.85/1.10 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.85/1.10 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.85/1.10 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.85/1.10 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.85/1.10 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.85/1.10 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.85/1.10 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.85/1.10 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.85/1.10 (assume @p96 @t102) % 0.85/1.10 (assume @p97 true) % 0.85/1.10 (step @p98 :rule aci_norm :args ((= @t121 @t119))) % 0.85/1.10 (step @p99 :rule cong :premises (@p98) :args (@t123)) % 0.85/1.10 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t125) @t123))) % 0.85/1.10 (step @p101 :rule alpha_equiv :args (@t126 (@list @t103) @t128)) % 0.85/1.10 (step @p102 :rule refl :args (@t118)) % 0.85/1.10 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t129)) % 0.85/1.10 (step @p104 :rule quant-miniscope-or :args ((= @t125 @t129))) % 0.85/1.10 (step @p105 :rule trans :premises (@p104 @p103)) % 0.85/1.10 (step @p106 :rule symm :premises (@p105)) % 0.85/1.10 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t137))) % 0.85/1.10 (step @p108 :rule trans :premises (@p107 @p100)) % 0.85/1.10 (step @p109 :rule trans :premises (@p108 @p99)) % 0.85/1.10 (step @p110 :rule aci_norm :args ((= (or @t118 @t137) @t137))) % 0.85/1.10 (step @p111 :rule bool-impl-elim :args (@t17 @t137)) % 0.85/1.10 (step @p112 :rule trans :premises (@p111 @p110)) % 0.85/1.10 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t137)))) % 0.85/1.10 (step @p114 :rule trans :premises (@p113 @p109)) % 0.85/1.10 (step @p115 :rule aci_norm :args ((= (or @t134 @t133 @t132 @t130 false) @t135))) % 0.85/1.10 (step @p116 :rule evaluate :args ((not true))) % 0.85/1.10 (step @p117 :rule eq-refl :args (@t131)) % 0.85/1.10 (step @p118 :rule cong :premises (@p117) :args (@t138)) % 0.85/1.10 (step @p119 :rule trans :premises (@p118 @p116)) % 0.85/1.10 (step @p120 :rule refl :args (@t130)) % 0.85/1.10 (step @p121 :rule refl :args (@t108)) % 0.85/1.10 (step @p122 :rule eq-symm :args (@t131 @t110)) % 0.85/1.10 (step @p123 :rule cong :premises (@p122) :args (@t139)) % 0.85/1.10 (step @p124 :rule refl :args (@t111)) % 0.85/1.10 (step @p125 :rule refl :args (@t112)) % 0.85/1.10 (step @p126 :rule refl :args (@t113)) % 0.85/1.10 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p121) :args (@t140)) % 0.85/1.10 (step @p128 :rule cong :premises (@p127) :args (@t141)) % 0.85/1.10 (step @p129 :rule cong :premises (@p128) :args (@t142)) % 0.85/1.10 (step @p130 :rule refl :args (@t133)) % 0.85/1.10 (step @p131 :rule refl :args (@t134)) % 0.85/1.10 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p120 @p119) :args (@t143)) % 0.85/1.10 (step @p133 :rule trans :premises (@p132 @p115)) % 0.85/1.10 (step @p134 :rule cong :premises (@p133) :args ((forall @t136 @t143))) % 0.85/1.10 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t7 @t149) @t143))) % 0.85/1.10 (step @p136 :rule aci_norm :args ((= @t150 @t149))) % 0.85/1.10 (step @p137 :rule cong :premises (@p136) :args (@t151)) % 0.85/1.10 (step @p138 :rule trans :premises (@p137 @p135)) % 0.85/1.10 (step @p139 :rule cong :premises (@p138) :args (@t152)) % 0.85/1.10 (step @p140 :rule quant-merge-prenex :args ((= @t152 @t153))) % 0.85/1.10 (step @p141 :rule symm :premises (@p140)) % 0.85/1.10 (step @p142 :rule quant_var_reordering :args ((= (forall @t154 @t150) @t153))) % 0.85/1.10 (step @p143 :rule trans :premises (@p142 @p141 @p139)) % 0.85/1.10 (step @p144 :rule trans :premises (@p143 @p134)) % 0.85/1.10 (step @p145 :rule aci_norm :args ((= @t156 @t150))) % 0.85/1.10 (step @p146 :rule cong :premises (@p145) :args (@t157)) % 0.85/1.10 (step @p147 :rule trans :premises (@p146 @p144)) % 0.85/1.10 (step @p148 :rule quant-merge-prenex :args ((= (forall @t7 @t158) @t157))) % 0.85/1.10 (step @p149 :rule alpha_equiv :args (@t159 @t128 @t161)) % 0.85/1.10 (step @p150 :rule refl :args (@t147)) % 0.85/1.10 (step @p151 :rule refl :args (@t66)) % 0.85/1.10 (step @p152 :rule refl :args (@t148)) % 0.85/1.10 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150 @p149) :args (@t162)) % 0.85/1.10 (step @p154 :rule quant-miniscope-or :args ((= @t158 @t162))) % 0.85/1.10 (step @p155 :rule trans :premises (@p154 @p153)) % 0.85/1.10 (step @p156 :rule symm :premises (@p155)) % 0.85/1.10 (step @p157 :rule cong :premises (@p156) :args (@t170)) % 0.85/1.10 (step @p158 :rule trans :premises (@p157 @p148)) % 0.85/1.10 (step @p159 :rule trans :premises (@p158 @p147)) % 0.85/1.10 (step @p160 :rule refl :args (@t118)) % 0.85/1.10 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t171)) % 0.85/1.10 (step @p162 :rule quant-miniscope-or :args ((= (forall @t7 @t172) @t171))) % 0.85/1.10 (step @p163 :rule aci_norm :args ((= @t173 @t172))) % 0.85/1.10 (step @p164 :rule cong :premises (@p163) :args ((forall @t7 @t173))) % 0.85/1.10 (step @p165 :rule trans :premises (@p164 @p162)) % 0.85/1.10 (step @p166 :rule trans :premises (@p165 @p161)) % 0.85/1.10 (step @p167 :rule aci_norm :args ((= (or @t148 @t173) @t173))) % 0.85/1.10 (step @p168 :rule bool-impl-elim :args (@t21 @t173)) % 0.85/1.10 (step @p169 :rule trans :premises (@p168 @p167)) % 0.85/1.10 (step @p170 :rule cong :premises (@p169) :args ((forall @t7 (=> @t21 @t173)))) % 0.85/1.10 (step @p171 :rule trans :premises (@p170 @p166)) % 0.85/1.10 (step @p172 :rule aci_norm :args ((= (or @t148 @t66 @t147 @t174) @t173))) % 0.85/1.10 (step @p173 :rule quant-miniscope-or :args ((= (forall @t167 @t175) @t174))) % 0.85/1.10 (step @p174 :rule aci_norm :args ((= @t176 @t175))) % 0.85/1.10 (step @p175 :rule cong :premises (@p174) :args ((forall @t167 @t176))) % 0.85/1.10 (step @p176 :rule trans :premises (@p175 @p173)) % 0.85/1.10 (step @p177 :rule aci_norm :args ((= (or @t118 false @t165 @t164) @t176))) % 0.85/1.10 (step @p178 :rule refl :args (@t164)) % 0.85/1.10 (step @p179 :rule refl :args (@t165)) % 0.85/1.10 (step @p180 :rule eq-refl :args (@t2)) % 0.85/1.10 (step @p181 :rule cong :premises (@p180) :args (@t177)) % 0.85/1.10 (step @p182 :rule trans :premises (@p181 @p116)) % 0.85/1.10 (step @p183 :rule nary_cong :premises (@p160 @p182 @p179 @p178) :args (@t178)) % 0.85/1.10 (step @p184 :rule trans :premises (@p183 @p177)) % 0.85/1.10 (step @p185 :rule cong :premises (@p184) :args ((forall @t167 @t178))) % 0.85/1.10 (step @p186 :rule trans :premises (@p185 @p176)) % 0.85/1.10 (step @p187 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t61) @t180 @t91 @t165 @t179)) @t178))) % 0.85/1.10 (step @p188 :rule refl :args (@t179)) % 0.85/1.10 (step @p189 :rule refl :args (@t165)) % 0.85/1.10 (step @p190 :rule refl :args (@t91)) % 0.85/1.10 (step @p191 :rule refl :args (@t180)) % 0.85/1.10 (step @p192 :rule eq-symm :args (@t2 @t12)) % 0.85/1.10 (step @p193 :rule cong :premises (@p192) :args (@t91)) % 0.85/1.10 (step @p194 :rule nary_cong :premises (@p193 @p191 @p190 @p189 @p188) :args (@t181)) % 0.85/1.10 (step @p195 :rule aci_norm :args ((= @t182 @t181))) % 0.85/1.10 (step @p196 :rule trans :premises (@p195 @p194)) % 0.85/1.10 (step @p197 :rule cong :premises (@p196) :args (@t183)) % 0.85/1.10 (step @p198 :rule trans :premises (@p197 @p187)) % 0.85/1.10 (step @p199 :rule cong :premises (@p198) :args (@t184)) % 0.85/1.10 (step @p200 :rule quant-merge-prenex :args ((= @t184 @t185))) % 0.85/1.10 (step @p201 :rule symm :premises (@p200)) % 0.85/1.10 (step @p202 :rule quant_var_reordering :args ((= (forall @t186 @t182) @t185))) % 0.85/1.10 (step @p203 :rule trans :premises (@p202 @p201 @p199)) % 0.85/1.10 (step @p204 :rule trans :premises (@p203 @p186)) % 0.85/1.10 (step @p205 :rule aci_norm :args ((= @t188 @t182))) % 0.85/1.10 (step @p206 :rule cong :premises (@p205) :args (@t189)) % 0.85/1.10 (step @p207 :rule trans :premises (@p206 @p204)) % 0.85/1.10 (step @p208 :rule quant-merge-prenex :args ((= (forall @t16 @t190) @t189))) % 0.85/1.10 (step @p209 :rule alpha_equiv :args (@t191 @t161 @t193)) % 0.85/1.10 (step @p210 :rule nary_cong :premises (@p191 @p190 @p209) :args (@t194)) % 0.85/1.10 (step @p211 :rule quant-miniscope-or :args ((= @t190 @t194))) % 0.85/1.10 (step @p212 :rule trans :premises (@p211 @p210)) % 0.85/1.10 (step @p213 :rule symm :premises (@p212)) % 0.85/1.10 (step @p214 :rule cong :premises (@p213) :args (@t202)) % 0.85/1.10 (step @p215 :rule trans :premises (@p214 @p208)) % 0.85/1.10 (step @p216 :rule trans :premises (@p215 @p207)) % 0.85/1.10 (step @p217 :rule refl :args (@t147)) % 0.85/1.10 (step @p218 :rule refl :args (@t66)) % 0.85/1.10 (step @p219 :rule refl :args (@t148)) % 0.85/1.10 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217 @p216) :args (@t203)) % 0.85/1.10 (step @p221 :rule trans :premises (@p220 @p172)) % 0.85/1.10 (step @p222 :rule quant-miniscope-or :args ((= (forall @t16 @t204) @t203))) % 0.85/1.10 (step @p223 :rule aci_norm :args ((= @t205 @t204))) % 0.85/1.10 (step @p224 :rule cong :premises (@p223) :args ((forall @t16 @t205))) % 0.85/1.10 (step @p225 :rule trans :premises (@p224 @p222)) % 0.85/1.10 (step @p226 :rule trans :premises (@p225 @p221)) % 0.85/1.10 (step @p227 :rule aci_norm :args ((= (or @t180 @t206) @t205))) % 0.85/1.10 (step @p228 :rule bool-impl-elim :args (@t15 @t206)) % 0.85/1.10 (step @p229 :rule trans :premises (@p228 @p227)) % 0.85/1.10 (step @p230 :rule cong :premises (@p229) :args ((forall @t16 (=> @t15 @t206)))) % 0.85/1.10 (step @p231 :rule trans :premises (@p230 @p226)) % 0.85/1.10 (step @p232 :rule aci_norm :args ((= (or @t91 @t207) @t206))) % 0.85/1.10 (step @p233 :rule quant-miniscope-or :args ((= (forall @t199 @t208) @t207))) % 0.85/1.10 (step @p234 :rule aci_norm :args ((= @t209 @t208))) % 0.85/1.10 (step @p235 :rule cong :premises (@p234) :args ((forall @t199 @t209))) % 0.85/1.10 (step @p236 :rule trans :premises (@p235 @p233)) % 0.85/1.10 (step @p237 :rule aci_norm :args ((= (or @t148 @t210) @t209))) % 0.85/1.10 (step @p238 :rule aci_norm :args ((= @t211 @t210))) % 0.85/1.10 (step @p239 :rule nary_cong :premises (@p219 @p238) :args (@t212)) % 0.85/1.10 (step @p240 :rule trans :premises (@p239 @p237)) % 0.85/1.10 (step @p241 :rule cong :premises (@p240) :args ((forall @t199 @t212))) % 0.85/1.10 (step @p242 :rule trans :premises (@p241 @p236)) % 0.85/1.10 (step @p243 :rule bool-or-taut2 :args (false @t65 false false)) % 0.85/1.10 (step @p244 :rule refl :args (@t210)) % 0.85/1.10 (step @p245 :rule nary_cong :premises (@p244 @p243) :args (@t213)) % 0.85/1.10 (step @p246 :rule nary_cong :premises (@p152 @p245) :args (@t214)) % 0.85/1.10 (step @p247 :rule cong :premises (@p246) :args ((forall @t199 @t214))) % 0.85/1.10 (step @p248 :rule trans :premises (@p247 @p242)) % 0.85/1.10 (step @p249 :rule aci_norm :args ((= (or @t148 false @t213) @t214))) % 0.85/1.10 (step @p250 :rule refl :args (@t213)) % 0.85/1.10 (step @p251 :rule eq-refl :args (@t1)) % 0.85/1.10 (step @p252 :rule cong :premises (@p251) :args (@t215)) % 0.85/1.10 (step @p253 :rule trans :premises (@p252 @p116)) % 0.85/1.10 (step @p254 :rule nary_cong :premises (@p219 @p253 @p250) :args (@t216)) % 0.85/1.10 (step @p255 :rule trans :premises (@p254 @p249)) % 0.85/1.10 (step @p256 :rule cong :premises (@p255) :args ((forall @t199 @t216))) % 0.85/1.10 (step @p257 :rule trans :premises (@p256 @p248)) % 0.85/1.10 (step @p258 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t220 @t92 @t219)) @t216))) % 0.85/1.10 (step @p259 :rule refl :args (@t219)) % 0.85/1.10 (step @p260 :rule refl :args (@t92)) % 0.85/1.10 (step @p261 :rule refl :args (@t220)) % 0.85/1.10 (step @p262 :rule eq-symm :args (@t1 @t10)) % 0.85/1.10 (step @p263 :rule cong :premises (@p262) :args (@t92)) % 0.85/1.10 (step @p264 :rule nary_cong :premises (@p263 @p261 @p260 @p259) :args (@t221)) % 0.85/1.10 (step @p265 :rule aci_norm :args ((= @t222 @t221))) % 0.85/1.10 (step @p266 :rule trans :premises (@p265 @p264)) % 0.85/1.10 (step @p267 :rule cong :premises (@p266) :args (@t223)) % 0.85/1.10 (step @p268 :rule trans :premises (@p267 @p258)) % 0.85/1.10 (step @p269 :rule cong :premises (@p268) :args (@t224)) % 0.85/1.10 (step @p270 :rule quant-merge-prenex :args ((= @t224 @t225))) % 0.85/1.10 (step @p271 :rule symm :premises (@p270)) % 0.85/1.10 (step @p272 :rule quant_var_reordering :args ((= 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(step @p287 :rule quant-miniscope-or :args ((= @t236 @t235))) % 0.85/1.10 (step @p288 :rule trans :premises (@p287 @p286)) % 0.85/1.10 (step @p289 :rule nary_cong :premises (@p288 @p284) :args (@t237)) % 0.85/1.10 (step @p290 :rule quant-miniscope-and :args ((= @t238 @t237))) % 0.85/1.10 (step @p291 :rule trans :premises (@p290 @p289)) % 0.85/1.10 (step @p292 :rule nary_cong :premises (@p261 @p260 @p291) :args (@t239)) % 0.85/1.10 (step @p293 :rule quant-miniscope-or :args ((= @t232 @t239))) % 0.85/1.10 (step @p294 :rule trans :premises (@p293 @p292)) % 0.85/1.10 (step @p295 :rule symm :premises (@p294)) % 0.85/1.10 (step @p296 :rule cong :premises (@p295) :args (@t243)) % 0.85/1.10 (step @p297 :rule trans :premises (@p296 @p283)) % 0.85/1.10 (step @p298 :rule trans :premises (@p297 @p282)) % 0.85/1.10 (step @p299 :rule refl :args (@t91)) % 0.85/1.10 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (@t244)) % 0.85/1.10 (step @p301 :rule trans :premises (@p300 @p232)) % 0.85/1.10 (step @p302 :rule quant-miniscope-or :args ((= (forall @t14 @t245) @t244))) % 0.85/1.10 (step @p303 :rule aci_norm :args ((= @t246 @t245))) % 0.85/1.10 (step @p304 :rule cong :premises (@p303) :args ((forall @t14 @t246))) % 0.85/1.10 (step @p305 :rule trans :premises (@p304 @p302)) % 0.85/1.10 (step @p306 :rule trans :premises (@p305 @p301)) % 0.85/1.10 (step @p307 :rule aci_norm :args ((= (or @t220 @t247) @t246))) % 0.85/1.10 (step @p308 :rule bool-impl-elim :args (@t13 @t247)) % 0.85/1.10 (step @p309 :rule trans :premises (@p308 @p307)) % 0.85/1.10 (step @p310 :rule cong :premises (@p309) :args ((forall @t14 (=> @t13 @t247)))) % 0.85/1.10 (step @p311 :rule trans :premises (@p310 @p306)) % 0.85/1.10 (step @p312 :rule bool-impl-elim :args (@t71 @t240)) % 0.85/1.10 (step @p313 :rule cong :premises (@p312) :args ((forall @t73 (=> @t71 @t240)))) % 0.85/1.10 (step @p314 :rule eq-symm :args (@t69 @t10)) % 0.85/1.10 (step @p315 :rule cong :premises (@p314) :args (@t70)) % 0.85/1.10 (step @p316 :rule refl :args (@t71)) % 0.85/1.10 (step @p317 :rule cong :premises (@p316 @p315) :args (@t72)) % 0.85/1.10 (step @p318 :rule cong :premises (@p317) :args (@t74)) % 0.85/1.10 (step @p319 :rule trans :premises (@p318 @p313)) % 0.85/1.10 (step @p320 :rule aci_norm :args ((= @t249 @t146))) % 0.85/1.10 (step @p321 :rule cong :premises (@p320) :args (@t250)) % 0.85/1.10 (step @p322 :rule quant-merge-prenex :args ((= (forall @t33 @t252) @t250))) % 0.85/1.10 (step @p323 :rule alpha_equiv :args (@t253 (@list @t106 @t105) (@list @t27 @t254))) % 0.85/1.10 (step @p324 :rule refl :args (@t113)) % 0.85/1.10 (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t255)) % 0.85/1.10 (step @p326 :rule quant-miniscope-or :args ((= @t252 @t255))) % 0.85/1.10 (step @p327 :rule trans :premises (@p326 @p325)) % 0.85/1.10 (step @p328 :rule symm :premises (@p327)) % 0.85/1.10 (step @p329 :rule cong :premises (@p328) :args ((forall @t33 (or @t113 @t262)))) % 0.85/1.10 (step @p330 :rule trans :premises (@p329 @p322)) % 0.85/1.10 (step @p331 :rule trans :premises (@p330 @p321)) % 0.85/1.10 (step @p332 :rule bool-double-not-elim :args (@t262)) % 0.85/1.10 (step @p333 :rule nary_cong :premises (@p324 @p332) :args ((or @t113 (not @t263)))) % 0.85/1.10 (step @p334 :rule bool-and-de-morgan :args (@t86 @t263 true)) % 0.85/1.10 (step @p335 :rule trans :premises (@p334 @p333)) % 0.85/1.10 (step @p336 :rule cong :premises (@p335) :args (@t265)) % 0.85/1.10 (step @p337 :rule trans :premises (@p336 @p331)) % 0.85/1.10 (step @p338 :rule cong :premises (@p337) :args (@t266)) % 0.85/1.10 (step @p339 :rule exists-elim :args ((= (exists @t33 @t264) @t266))) % 0.85/1.10 (step @p340 :rule trans :premises (@p339 @p338)) % 0.85/1.10 (step @p341 :rule aci_norm :args ((= @t268 @t260))) % 0.85/1.10 (step @p342 :rule cong :premises (@p341) :args (@t269)) % 0.85/1.10 (step @p343 :rule quant-merge-prenex :args ((= (forall @t31 @t271) @t269))) % 0.85/1.10 (step @p344 :rule alpha_equiv :args (@t272 (@list @t254) (@list @t75))) % 0.85/1.10 (step @p345 :rule refl :args (@t259)) % 0.85/1.10 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t273)) % 0.85/1.10 (step @p347 :rule quant-miniscope-or :args ((= @t271 @t273))) % 0.85/1.10 (step @p348 :rule trans :premises (@p347 @p346)) % 0.85/1.10 (step @p349 :rule symm :premises (@p348)) % 0.85/1.10 (step @p350 :rule cong :premises (@p349) :args ((forall @t31 (or @t259 @t280)))) % 0.85/1.10 (step @p351 :rule trans :premises (@p350 @p343)) % 0.85/1.10 (step @p352 :rule trans :premises (@p351 @p342)) % 0.85/1.10 (step @p353 :rule bool-double-not-elim :args (@t280)) % 0.85/1.10 (step @p354 :rule nary_cong :premises (@p345 @p353) :args ((or @t259 (not @t281)))) % 0.85/1.10 (step @p355 :rule bool-and-de-morgan :args (@t30 @t281 true)) % 0.85/1.10 (step @p356 :rule trans :premises (@p355 @p354)) % 0.85/1.10 (step @p357 :rule cong :premises (@p356) :args (@t283)) % 0.85/1.10 (step @p358 :rule trans :premises (@p357 @p352)) % 0.85/1.10 (step @p359 :rule cong :premises (@p358) :args (@t284)) % 0.85/1.10 (step @p360 :rule exists-elim :args ((= (exists @t31 @t282) @t284))) % 0.85/1.10 (step @p361 :rule trans :premises (@p360 @p359)) % 0.85/1.10 (step @p362 :rule aci_norm :args ((= (or @t278 (or @t277 @t275)) @t279))) % 0.85/1.10 (step @p363 :rule bool-and-de-morgan :args (@t276 @t274 true)) % 0.85/1.10 (step @p364 :rule refl :args (@t278)) % 0.85/1.10 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or @t278 (not (and @t276 @t274))))) % 0.85/1.10 (step @p366 :rule bool-and-de-morgan :args (@t80 @t276 (and @t274))) % 0.85/1.10 (step @p367 :rule trans :premises (@p366 @p365)) % 0.85/1.10 (step @p368 :rule trans :premises (@p367 @p362)) % 0.85/1.10 (step @p369 :rule cong :premises (@p368) :args (@t286)) % 0.85/1.10 (step @p370 :rule cong :premises (@p369) :args (@t287)) % 0.85/1.10 (step @p371 :rule exists-elim :args ((= (exists @t82 @t285) @t287))) % 0.85/1.10 (step @p372 :rule trans :premises (@p371 @p370)) % 0.85/1.10 (step @p373 :rule eq-symm :args (@t76 @t2)) % 0.85/1.10 (step @p374 :rule eq-symm :args (@t79 @t1)) % 0.85/1.10 (step @p375 :rule refl :args (@t80)) % 0.85/1.10 (step @p376 :rule nary_cong :premises (@p375 @p374 @p373) :args (@t81)) % 0.85/1.10 (step @p377 :rule cong :premises (@p376) :args (@t83)) % 0.85/1.10 (step @p378 :rule trans :premises (@p377 @p372)) % 0.85/1.10 (step @p379 :rule refl :args (@t30)) % 0.85/1.10 (step @p380 :rule nary_cong :premises (@p379 @p378) :args (@t84)) % 0.85/1.10 (step @p381 :rule cong :premises (@p380) :args (@t85)) % 0.85/1.10 (step @p382 :rule trans :premises (@p381 @p361)) % 0.85/1.10 (step @p383 :rule refl :args (@t86)) % 0.85/1.10 (step @p384 :rule nary_cong :premises (@p383 @p382) :args (@t87)) % 0.85/1.10 (step @p385 :rule cong :premises (@p384) :args (@t88)) % 0.85/1.10 (step @p386 :rule trans :premises (@p385 @p340)) % 0.85/1.10 (step @p387 :rule nary_cong :premises (@p218 @p386 @p319) :args (@t89)) % 0.85/1.10 (step @p388 :rule nary_cong :premises (@p387 @p275) :args (@t90)) % 0.85/1.10 (step @p389 :rule nary_cong :premises (@p278 @p299 @p388) :args (@t93)) % 0.85/1.10 (step @p390 :rule refl :args (@t13)) % 0.85/1.10 (step @p391 :rule cong :premises (@p390 @p389) :args (@t94)) % 0.85/1.10 (step @p392 :rule cong :premises (@p391) :args (@t95)) % 0.85/1.10 (step @p393 :rule trans :premises (@p392 @p311)) % 0.85/1.10 (step @p394 :rule refl :args (@t15)) % 0.85/1.10 (step @p395 :rule cong :premises (@p394 @p393) :args (@t96)) % 0.85/1.10 (step @p396 :rule cong :premises (@p395) :args (@t97)) % 0.85/1.10 (step @p397 :rule trans :premises (@p396 @p231)) % 0.85/1.10 (step @p398 :rule refl :args (@t21)) % 0.85/1.10 (step @p399 :rule cong :premises (@p398 @p397) :args (@t98)) % 0.85/1.10 (step @p400 :rule cong :premises (@p399) :args (@t99)) % 0.85/1.10 (step @p401 :rule trans :premises (@p400 @p171)) % 0.85/1.10 (step @p402 :rule refl :args (@t17)) % 0.85/1.10 (step @p403 :rule cong :premises (@p402 @p401) :args (@t100)) % 0.85/1.10 (step @p404 :rule cong :premises (@p403) :args (@t101)) % 0.85/1.10 (step @p405 :rule trans :premises (@p404 @p114)) % 0.85/1.10 (step @p406 :rule cong :premises (@p405) :args (@t102)) % 0.85/1.10 (step @p407 :rule eq_resolve :premises (@p96 @p406)) % 0.85/1.10 (step @p408 :rule refl :args (@t303)) % 0.85/1.10 (step @p409 :rule bool-double-not-elim :args (@t288)) % 0.85/1.10 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((or (not @t304) @t303))) % 0.85/1.10 (step @p411 :rule refl :args (@t291)) % 0.85/1.10 (step @p412 :rule eq-symm :args (@t292 @t107)) % 0.85/1.10 (step @p413 :rule cong :premises (@p412) :args (@t305)) % 0.85/1.10 (step @p414 :rule refl :args (@t294)) % 0.85/1.10 (step @p415 :rule nary_cong :premises (@p126 @p125 @p124 @p414 @p413) :args (@t306)) % 0.85/1.10 (step @p416 :rule cong :premises (@p415) :args (@t307)) % 0.85/1.10 (step @p417 :rule cong :premises (@p416) :args (@t308)) % 0.85/1.10 (step @p418 :rule refl :args (@t297)) % 0.85/1.10 (step @p419 :rule refl :args (@t299)) % 0.85/1.10 (step @p420 :rule refl :args (@t301)) % 0.85/1.10 (step @p421 :rule nary_cong :premises (@p420 @p419 @p418 @p417 @p411) :args (@t309)) % 0.85/1.10 (step @p422 :rule cong :premises (@p421) :args (@t310)) % 0.85/1.10 (step @p423 :rule refl :args (@t304)) % 0.85/1.10 (step @p424 :rule cong :premises (@p423 @p422) :args ((=> @t304 @t310))) % 0.85/1.10 (assume-push @p491 @t304) % 0.85/1.10 (step @p426 :rule skolemize :premises (@p407)) % 0.85/1.10 (step-pop @p492 :rule scope :premises (@p426)) % 0.85/1.10 (step @p427 :rule process_scope :premises (@p492) :args (@t310)) % 0.85/1.10 (step @p429 :rule eq_resolve :premises (@p427 @p424)) % 0.85/1.10 (step @p430 :rule implies_elim :premises (@p429)) % 0.85/1.10 (step @p431 :rule eq_resolve :premises (@p430 @p410)) % 0.85/1.10 (step @p432 :rule chain_m_resolution :premises (@p431 @p407) :args (@t303 @t311 (@list @t288))) % 0.85/1.10 (step @p433 :rule bool-double-not-elim :args (@t295)) % 0.85/1.10 (step @p434 :rule refl :args (@t302)) % 0.85/1.10 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t302 (not @t296)))) % 0.85/1.10 (step @p436 :rule cnf_or_neg :args (@t302 3)) % 0.85/1.10 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.85/1.10 (step @p438 :rule reordering :premises (@p437) :args ((or @t295 @t302))) % 0.85/1.10 (step @p439 :rule chain_m_resolution :premises (@p438 @p432) :args (@t295 @t311 @t312)) % 0.85/1.10 (step @p440 :rule bool-impl-elim :args (@t17 @t313)) % 0.85/1.10 (step @p441 :rule cong :premises (@p440) :args ((forall @t9 (=> @t17 @t313)))) % 0.85/1.10 (step @p442 :rule eq-symm :args (@t62 @t2)) % 0.85/1.10 (step @p443 :rule cong :premises (@p402 @p442) :args (@t63)) % 0.85/1.10 (step @p444 :rule cong :premises (@p443) :args (@t64)) % 0.85/1.10 (step @p445 :rule trans :premises (@p444 @p441)) % 0.85/1.10 (step @p446 :rule eq_resolve :premises (@p84 @p445)) % 0.85/1.10 (step @p447 :rule instantiate :premises (@p446) :args ((@list @t293))) % 0.85/1.10 (step @p448 :rule bool-double-not-elim :args (@t298)) % 0.85/1.10 (step @p449 :rule nary_cong :premises (@p434 @p448) :args ((or @t302 (not @t299)))) % 0.85/1.10 (step @p450 :rule cnf_or_neg :args (@t302 1)) % 0.85/1.10 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 0.85/1.10 (step @p452 :rule reordering :premises (@p451) :args ((or @t298 @t302))) % 0.85/1.10 (step @p453 :rule chain_m_resolution :premises (@p452 @p432) :args (@t298 @t311 @t312)) % 0.85/1.10 (step @p454 :rule cnf_or_pos :args (@t316)) % 0.85/1.10 (step @p455 :rule reordering :premises (@p454) :args ((or @t299 @t315 (not @t316)))) % 0.85/1.10 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p447) :args (@t315 @t317 (@list @t298 @t316))) % 0.85/1.10 (step @p457 :rule instantiate :premises (@p446) :args ((@list @t292))) % 0.85/1.10 (step @p458 :rule bool-double-not-elim :args (@t300)) % 0.85/1.10 (step @p459 :rule nary_cong :premises (@p434 @p458) :args ((or @t302 (not @t301)))) % 0.85/1.10 (step @p460 :rule cnf_or_neg :args (@t302 0)) % 0.85/1.10 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.85/1.10 (step @p462 :rule reordering :premises (@p461) :args ((or @t300 @t302))) % 0.85/1.10 (step @p463 :rule chain_m_resolution :premises (@p462 @p432) :args (@t300 @t311 @t312)) % 0.85/1.10 (step @p464 :rule cnf_or_pos :args (@t320)) % 0.85/1.10 (step @p465 :rule reordering :premises (@p464) :args ((or @t301 @t319 (not @t320)))) % 0.85/1.10 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p457) :args (@t319 @t317 (@list @t300 @t320))) % 0.85/1.10 (step @p467 :rule bool-double-not-elim :args (@t290)) % 0.85/1.11 (step @p468 :rule nary_cong :premises (@p434 @p467) :args ((or @t302 (not @t291)))) % 0.85/1.11 (step @p469 :rule cnf_or_neg :args (@t302 4)) % 0.85/1.11 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 0.85/1.11 (step @p471 :rule reordering :premises (@p470) :args ((or @t290 @t302))) % 0.85/1.11 (step @p472 :rule chain_m_resolution :premises (@p471 @p432) :args (@t290 @t311 @t312)) % 0.85/1.11 (step @p473 :rule cnf_or_pos :args (@t324)) % 0.85/1.11 (step @p474 :rule reordering :premises (@p473) :args ((or @t323 @t301 @t291 @t321 @t322 @t325))) % 0.85/1.11 (step @p475 :rule chain_m_resolution :premises (@p474 @p17 @p463 @p472 @p466 @p456) :args (@t325 (@list false false false false false) (@list @t38 @t300 @t290 @t319 @t315))) % 0.85/1.11 (step @p476 :rule eq-symm :args (@t318 @t292)) % 0.85/1.11 (step @p477 :rule cong :premises (@p476) :args (@t326)) % 0.85/1.11 (step @p478 :rule eq-symm :args (@t314 @t293)) % 0.85/1.11 (step @p479 :rule cong :premises (@p478) :args (@t327)) % 0.85/1.11 (step @p480 :rule refl :args (@t323)) % 0.85/1.11 (step @p481 :rule nary_cong :premises (@p411 @p420 @p480 @p479 @p477) :args (@t328)) % 0.85/1.11 (step @p482 :rule refl :args (@t295)) % 0.85/1.11 (step @p483 :rule cong :premises (@p482 @p481) :args ((=> @t295 @t328))) % 0.85/1.11 (assume-push @p493 @t295) % 0.85/1.11 (step @p485 :rule instantiate :premises (@p439) :args ((@list @t289 @t292 tptp.nil))) % 0.85/1.11 (step-pop @p494 :rule scope :premises (@p485)) % 0.85/1.11 (step @p486 :rule process_scope :premises (@p494) :args (@t328)) % 0.85/1.11 (step @p488 :rule eq_resolve :premises (@p486 @p483)) % 0.85/1.11 (step @p489 :rule implies_elim :premises (@p488)) % 0.85/1.11 (step @p490 false :rule chain_m_resolution :premises (@p489 @p475 @p439) :args (false (@list true false) (@list @t324 @t295))) % 0.85/1.11 ) % 0.85/1.11 % SZS output end Proof % 0.85/1.11 % cvc5 exiting %------------------------------------------------------------------------------