%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC013+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 : n023.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 08:57:42 AM UTC 2026 % Result : Theorem 0.84s 1.11s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC013+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:10:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.11 % SZS status Theorem % 0.84/1.11 % SZS output start Proof % 0.84/1.11 ( % 0.84/1.11 (declare-sort $$unsorted 0) % 0.84/1.11 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.84/1.11 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.84/1.11 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.11 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.11 (declare-const tptp.nil $$unsorted) % 0.84/1.11 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.84/1.11 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.84/1.11 (define @t1 () (@var "V" $$unsorted)) % 0.84/1.11 (define @t2 () (@var "U" $$unsorted)) % 0.84/1.11 (define @t3 () (= @t2 @t1)) % 0.84/1.11 (define @t4 () (not @t3)) % 0.84/1.11 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.84/1.11 (define @t6 () (tptp.ssItem @t1)) % 0.84/1.11 (define @t7 () (@list @t1)) % 0.84/1.11 (define @t8 () (tptp.ssItem @t2)) % 0.84/1.11 (define @t9 () (@list @t2)) % 0.84/1.11 (define @t10 () (@var "X" $$unsorted)) % 0.84/1.11 (define @t11 () (tptp.cons @t1 @t10)) % 0.84/1.11 (define @t12 () (@var "W" $$unsorted)) % 0.84/1.11 (define @t13 () (tptp.ssList @t10)) % 0.84/1.11 (define @t14 () (@list @t10)) % 0.84/1.11 (define @t15 () (tptp.ssList @t12)) % 0.84/1.11 (define @t16 () (@list @t12)) % 0.84/1.11 (define @t17 () (tptp.ssList @t2)) % 0.84/1.11 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.84/1.11 (define @t19 () (tptp.app @t1 @t12)) % 0.84/1.11 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.84/1.11 (define @t21 () (tptp.ssList @t1)) % 0.84/1.11 (define @t22 () (tptp.app @t12 @t1)) % 0.84/1.11 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.84/1.11 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.84/1.11 (define @t25 () (tptp.leq @t12 @t1)) % 0.84/1.11 (define @t26 () (tptp.leq @t1 @t12)) % 0.84/1.11 (define @t27 () (@var "Z" $$unsorted)) % 0.84/1.11 (define @t28 () (@var "Y" $$unsorted)) % 0.84/1.11 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.84/1.11 (define @t30 () (tptp.ssList @t27)) % 0.84/1.11 (define @t31 () (@list @t27)) % 0.84/1.11 (define @t32 () (tptp.ssList @t28)) % 0.84/1.11 (define @t33 () (@list @t28)) % 0.84/1.11 (define @t34 () (tptp.ssItem @t12)) % 0.84/1.11 (define @t35 () (tptp.lt @t1 @t12)) % 0.84/1.11 (define @t36 () (= @t1 @t12)) % 0.84/1.11 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.84/1.11 (define @t38 () (=> @t17 @t37)) % 0.84/1.11 (define @t39 () (forall @t9 @t38)) % 0.84/1.11 (define @t40 () (tptp.cons @t1 @t2)) % 0.84/1.11 (define @t41 () (tptp.ssList @t40)) % 0.84/1.11 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.84/1.11 (define @t43 () (=> @t17 @t42)) % 0.84/1.11 (define @t44 () (forall @t9 @t43)) % 0.84/1.11 (define @t45 () (tptp.ssList tptp.nil)) % 0.84/1.11 (define @t46 () (= @t1 @t2)) % 0.84/1.11 (define @t47 () (tptp.cons @t12 @t1)) % 0.84/1.11 (define @t48 () (= tptp.nil @t2)) % 0.84/1.11 (define @t49 () (tptp.hd @t2)) % 0.84/1.11 (define @t50 () (tptp.ssItem @t49)) % 0.84/1.11 (define @t51 () (not @t48)) % 0.84/1.11 (define @t52 () (=> @t51 @t50)) % 0.84/1.11 (define @t53 () (=> @t17 @t52)) % 0.84/1.11 (define @t54 () (forall @t9 @t53)) % 0.84/1.11 (define @t55 () (tptp.tl @t2)) % 0.84/1.11 (define @t56 () (tptp.app @t2 @t1)) % 0.84/1.11 (define @t57 () (tptp.app @t1 @t2)) % 0.84/1.11 (define @t58 () (tptp.leq @t1 @t2)) % 0.84/1.11 (define @t59 () (tptp.leq @t2 @t1)) % 0.84/1.11 (define @t60 () (tptp.geq @t2 @t1)) % 0.84/1.11 (define @t61 () (tptp.lt @t1 @t2)) % 0.84/1.11 (define @t62 () (tptp.lt @t2 @t1)) % 0.84/1.11 (define @t63 () (tptp.lt @t2 @t12)) % 0.84/1.11 (define @t64 () (tptp.gt @t2 @t1)) % 0.84/1.11 (define @t65 () (tptp.memberP @t12 @t2)) % 0.84/1.11 (define @t66 () (tptp.app @t12 @t2)) % 0.84/1.11 (define @t67 () (tptp.cons @t2 tptp.nil)) % 0.84/1.11 (define @t68 () (tptp.hd @t1)) % 0.84/1.11 (define @t69 () (= tptp.nil @t1)) % 0.84/1.11 (define @t70 () (not @t69)) % 0.84/1.11 (define @t71 () (tptp.cons @t2 @t1)) % 0.84/1.11 (define @t72 () (= @t12 @t2)) % 0.84/1.11 (define @t73 () (tptp.neq @t1 tptp.nil)) % 0.84/1.11 (define @t74 () (not @t73)) % 0.84/1.11 (define @t75 () (or @t74 (tptp.neq @t10 tptp.nil))) % 0.84/1.11 (define @t76 () (tptp.neq tptp.nil @t1)) % 0.84/1.11 (define @t77 () (@var "X2" $$unsorted)) % 0.84/1.11 (define @t78 () (= @t68 @t77)) % 0.84/1.11 (define @t79 () (@var "X1" $$unsorted)) % 0.84/1.11 (define @t80 () (tptp.cons @t77 tptp.nil)) % 0.84/1.11 (define @t81 () (tptp.ssItem @t77)) % 0.84/1.11 (define @t82 () (and @t81 (= @t80 @t79) @t78 @t76)) % 0.84/1.11 (define @t83 () (@list @t77)) % 0.84/1.11 (define @t84 () (exists @t83 @t82)) % 0.84/1.11 (define @t85 () (= @t2 @t79)) % 0.84/1.11 (define @t86 () (tptp.ssList @t79)) % 0.84/1.11 (define @t87 () (and @t86 @t85 @t84)) % 0.84/1.11 (define @t88 () (@list @t79)) % 0.84/1.11 (define @t89 () (exists @t88 @t87)) % 0.84/1.11 (define @t90 () (tptp.neq tptp.nil @t10)) % 0.84/1.11 (define @t91 () (tptp.hd @t10)) % 0.84/1.11 (define @t92 () (tptp.cons @t27 tptp.nil)) % 0.84/1.11 (define @t93 () (tptp.ssItem @t27)) % 0.84/1.11 (define @t94 () (and @t93 (= @t92 @t28) (= @t91 @t27) @t90)) % 0.84/1.11 (define @t95 () (exists @t31 @t94)) % 0.84/1.11 (define @t96 () (= @t12 @t28)) % 0.84/1.11 (define @t97 () (not @t96)) % 0.84/1.11 (define @t98 () (and @t32 @t97 @t95)) % 0.84/1.11 (define @t99 () (exists @t33 @t98)) % 0.84/1.11 (define @t100 () (or @t74 @t99 @t89)) % 0.84/1.11 (define @t101 () (and @t100 @t75)) % 0.84/1.11 (define @t102 () (not (= @t2 @t12))) % 0.84/1.11 (define @t103 () (not (= @t1 @t10))) % 0.84/1.11 (define @t104 () (or @t103 @t102 @t101)) % 0.84/1.11 (define @t105 () (=> @t13 @t104)) % 0.84/1.11 (define @t106 () (forall @t14 @t105)) % 0.84/1.11 (define @t107 () (=> @t15 @t106)) % 0.84/1.11 (define @t108 () (forall @t16 @t107)) % 0.84/1.11 (define @t109 () (=> @t21 @t108)) % 0.84/1.11 (define @t110 () (forall @t7 @t109)) % 0.84/1.11 (define @t111 () (=> @t17 @t110)) % 0.84/1.11 (define @t112 () (forall @t9 @t111)) % 0.84/1.11 (define @t113 () (not @t112)) % 0.84/1.11 (define @t114 () (@var "BOUND_VARIABLE_9141" $$unsorted)) % 0.84/1.11 (define @t115 () (tptp.ssList (tptp.cons @t114 @t2))) % 0.84/1.11 (define @t116 () (not (tptp.ssItem @t114))) % 0.84/1.11 (define @t117 () (not @t17)) % 0.84/1.11 (define @t118 () (or @t117 @t116 @t115)) % 0.84/1.11 (define @t119 () (or @t116 @t115)) % 0.84/1.11 (define @t120 () (or @t117 @t119)) % 0.84/1.11 (define @t121 () (@list @t2 @t114)) % 0.84/1.11 (define @t122 () (forall @t121 @t120)) % 0.84/1.11 (define @t123 () (@list @t114)) % 0.84/1.11 (define @t124 () (forall @t123 @t120)) % 0.84/1.11 (define @t125 () (forall @t123 @t119)) % 0.84/1.11 (define @t126 () (@list @t1)) % 0.84/1.11 (define @t127 () (or @t117 @t125)) % 0.84/1.11 (define @t128 () (forall @t7 (or (not @t6) @t41))) % 0.84/1.11 (define @t129 () (= @t2 tptp.nil)) % 0.84/1.11 (define @t130 () (or @t117 @t129 @t50)) % 0.84/1.11 (define @t131 () (not @t129)) % 0.84/1.11 (define @t132 () (=> @t131 @t50)) % 0.84/1.11 (define @t133 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 0.84/1.11 (define @t134 () (tptp.hd @t133)) % 0.84/1.11 (define @t135 () (tptp.cons @t134 tptp.nil)) % 0.84/1.11 (define @t136 () (= @t2 @t135)) % 0.84/1.11 (define @t137 () (tptp.ssItem @t134)) % 0.84/1.11 (define @t138 () (tptp.neq tptp.nil @t133)) % 0.84/1.11 (define @t139 () (and @t138 @t137 (tptp.ssList @t135) (not @t136))) % 0.84/1.11 (define @t140 () (and @t138 @t137 @t17 @t136)) % 0.84/1.11 (define @t141 () (not (tptp.neq @t133 tptp.nil))) % 0.84/1.11 (define @t142 () (not (tptp.ssList @t133))) % 0.84/1.11 (define @t143 () (or @t117 @t142 @t141 @t140 @t139)) % 0.84/1.11 (define @t144 () (@list @t2 @t133)) % 0.84/1.11 (define @t145 () (forall @t144 @t143)) % 0.84/1.11 (define @t146 () (@quantifiers_skolemize @t145 1)) % 0.84/1.11 (define @t147 () (tptp.hd @t146)) % 0.84/1.11 (define @t148 () (tptp.ssItem @t147)) % 0.84/1.11 (define @t149 () (tptp.ssList @t146)) % 0.84/1.11 (define @t150 () (not @t149)) % 0.84/1.11 (define @t151 () (= @t146 tptp.nil)) % 0.84/1.11 (define @t152 () (or @t150 @t151 @t148)) % 0.84/1.11 (define @t153 () (forall @t9 @t130)) % 0.84/1.11 (define @t154 () (= tptp.nil @t146)) % 0.84/1.11 (define @t155 () (or @t150 @t154 @t148)) % 0.84/1.11 (define @t156 () (@list false)) % 0.84/1.11 (define @t157 () (@var "BOUND_VARIABLE_9120" $$unsorted)) % 0.84/1.11 (define @t158 () (= (tptp.neq @t2 @t157) (not (= @t2 @t157)))) % 0.84/1.11 (define @t159 () (not (tptp.ssList @t157))) % 0.84/1.11 (define @t160 () (or @t117 @t159 @t158)) % 0.84/1.11 (define @t161 () (or @t159 @t158)) % 0.84/1.11 (define @t162 () (or @t117 @t161)) % 0.84/1.11 (define @t163 () (@list @t2 @t157)) % 0.84/1.11 (define @t164 () (forall @t163 @t162)) % 0.84/1.11 (define @t165 () (@list @t157)) % 0.84/1.11 (define @t166 () (forall @t165 @t162)) % 0.84/1.11 (define @t167 () (forall @t165 @t161)) % 0.84/1.11 (define @t168 () (or @t117 @t167)) % 0.84/1.11 (define @t169 () (not @t21)) % 0.84/1.11 (define @t170 () (forall @t7 (or @t169 @t5))) % 0.84/1.11 (define @t171 () (not @t151)) % 0.84/1.11 (define @t172 () (tptp.neq @t146 tptp.nil)) % 0.84/1.11 (define @t173 () (= @t172 @t171)) % 0.84/1.11 (define @t174 () (not @t45)) % 0.84/1.11 (define @t175 () (or @t150 @t174 @t173)) % 0.84/1.11 (define @t176 () (forall @t163 @t160)) % 0.84/1.11 (define @t177 () (not @t154)) % 0.84/1.11 (define @t178 () (= @t172 @t177)) % 0.84/1.11 (define @t179 () (or @t150 @t174 @t178)) % 0.84/1.11 (define @t180 () (or @t142 @t141 @t140 @t139)) % 0.84/1.11 (define @t181 () (or @t117 @t180)) % 0.84/1.11 (define @t182 () (forall @t144 @t181)) % 0.84/1.11 (define @t183 () (@list @t133)) % 0.84/1.11 (define @t184 () (forall @t183 @t181)) % 0.84/1.11 (define @t185 () (forall @t183 @t180)) % 0.84/1.11 (define @t186 () (or @t117 @t185)) % 0.84/1.11 (define @t187 () (tptp.cons @t68 tptp.nil)) % 0.84/1.11 (define @t188 () (= @t2 @t187)) % 0.84/1.11 (define @t189 () (not @t188)) % 0.84/1.11 (define @t190 () (tptp.ssList @t187)) % 0.84/1.11 (define @t191 () (tptp.ssItem @t68)) % 0.84/1.11 (define @t192 () (and @t76 @t191 @t190 @t189)) % 0.84/1.11 (define @t193 () (and @t76 @t191 @t17 @t188)) % 0.84/1.11 (define @t194 () (or @t169 @t74 @t193 @t192)) % 0.84/1.11 (define @t195 () (or @t117 (forall @t7 @t194))) % 0.84/1.11 (define @t196 () (or @t117 @t194)) % 0.84/1.11 (define @t197 () (or @t169 @t74 @t193 @t117 @t192)) % 0.84/1.11 (define @t198 () (or @t117 @t192)) % 0.84/1.11 (define @t199 () (not (= @t2 @t2))) % 0.84/1.11 (define @t200 () (or @t117 @t199 @t192)) % 0.84/1.11 (define @t201 () (and @t76 @t191 @t190 (not (= @t12 @t187)))) % 0.84/1.11 (define @t202 () (not @t15)) % 0.84/1.11 (define @t203 () (or @t102 @t202 @t102 @t201)) % 0.84/1.11 (define @t204 () (or @t202 @t102 @t201)) % 0.84/1.11 (define @t205 () (forall @t16 @t204)) % 0.84/1.11 (define @t206 () (or @t169 @t74 @t193 @t205)) % 0.84/1.11 (define @t207 () (or @t169 @t74 @t193 @t204)) % 0.84/1.11 (define @t208 () (or @t202 @t102 @t169 @t74 @t201 @t193)) % 0.84/1.11 (define @t209 () (or @t74 @t201 @t193)) % 0.84/1.11 (define @t210 () (and @t209 true)) % 0.84/1.11 (define @t211 () (or @t202 @t102 @t169 @t210)) % 0.84/1.11 (define @t212 () (and @t209 (or @t74 @t73))) % 0.84/1.11 (define @t213 () (or @t102 @t169 @t212)) % 0.84/1.11 (define @t214 () (or @t169 @t212)) % 0.84/1.11 (define @t215 () (not (= @t1 @t1))) % 0.84/1.11 (define @t216 () (or @t169 @t215 @t212)) % 0.84/1.11 (define @t217 () (tptp.cons @t91 tptp.nil)) % 0.84/1.11 (define @t218 () (= @t12 @t217)) % 0.84/1.11 (define @t219 () (not @t218)) % 0.84/1.11 (define @t220 () (tptp.ssList @t217)) % 0.84/1.11 (define @t221 () (tptp.ssItem @t91)) % 0.84/1.11 (define @t222 () (and (or @t74 (and @t90 @t221 @t220 @t219) @t193) @t75)) % 0.84/1.11 (define @t223 () (not @t13)) % 0.84/1.11 (define @t224 () (or @t103 @t223 @t103 @t222)) % 0.84/1.11 (define @t225 () (or @t223 @t103 @t222)) % 0.84/1.11 (define @t226 () (forall @t14 @t225)) % 0.84/1.11 (define @t227 () (or @t102 @t226)) % 0.84/1.11 (define @t228 () (or @t102 @t225)) % 0.84/1.11 (define @t229 () (or @t223 @t103 @t102 @t222)) % 0.84/1.11 (define @t230 () (not @t189)) % 0.84/1.11 (define @t231 () (not @t117)) % 0.84/1.11 (define @t232 () (not @t191)) % 0.84/1.11 (define @t233 () (not @t232)) % 0.84/1.11 (define @t234 () (not @t76)) % 0.84/1.11 (define @t235 () (not @t234)) % 0.84/1.11 (define @t236 () (and @t235 @t233 @t231 @t230)) % 0.84/1.11 (define @t237 () (or @t117 @t189)) % 0.84/1.11 (define @t238 () (not @t220)) % 0.84/1.11 (define @t239 () (not @t238)) % 0.84/1.11 (define @t240 () (not @t221)) % 0.84/1.11 (define @t241 () (not @t240)) % 0.84/1.11 (define @t242 () (not @t90)) % 0.84/1.11 (define @t243 () (not @t242)) % 0.84/1.11 (define @t244 () (and @t243 @t241 @t239 @t219)) % 0.84/1.11 (define @t245 () (or @t238 @t218)) % 0.84/1.11 (define @t246 () (or @t234 @t232 @t117 @t189)) % 0.84/1.11 (define @t247 () (or @t242 @t240 @t238 @t218)) % 0.84/1.11 (define @t248 () (or @t74 (not @t247) (not @t246))) % 0.84/1.11 (define @t249 () (and @t248 @t75)) % 0.84/1.11 (define @t250 () (or @t103 @t102 @t249)) % 0.84/1.11 (define @t251 () (or @t117 @t199 @t189)) % 0.84/1.11 (define @t252 () (not (= @t79 @t187))) % 0.84/1.11 (define @t253 () (not @t85)) % 0.84/1.11 (define @t254 () (not @t86)) % 0.84/1.11 (define @t255 () (or @t253 @t254 @t253 @t252)) % 0.84/1.11 (define @t256 () (or @t254 @t253 @t252)) % 0.84/1.11 (define @t257 () (forall @t88 @t256)) % 0.84/1.11 (define @t258 () (or @t234 @t232 @t257)) % 0.84/1.11 (define @t259 () (or @t234 @t232 @t256)) % 0.84/1.11 (define @t260 () (or @t254 @t253 @t234 @t232 @t252)) % 0.84/1.11 (define @t261 () (or @t234 @t232 @t252)) % 0.84/1.11 (define @t262 () (not @t261)) % 0.84/1.11 (define @t263 () (not @t262)) % 0.84/1.11 (define @t264 () (or @t254 @t253 @t263)) % 0.84/1.11 (define @t265 () (and @t86 @t85 @t262)) % 0.84/1.11 (define @t266 () (forall @t88 (not @t265))) % 0.84/1.11 (define @t267 () (not @t266)) % 0.84/1.11 (define @t268 () (or @t232 @t252)) % 0.84/1.11 (define @t269 () (not (= @t68 @t68))) % 0.84/1.11 (define @t270 () (or @t232 @t252 @t269)) % 0.84/1.11 (define @t271 () (not @t78)) % 0.84/1.11 (define @t272 () (= @t79 @t80)) % 0.84/1.11 (define @t273 () (not @t272)) % 0.84/1.11 (define @t274 () (not @t81)) % 0.84/1.11 (define @t275 () (or @t271 @t274 @t273 @t271)) % 0.84/1.11 (define @t276 () (or @t274 @t273 @t271)) % 0.84/1.11 (define @t277 () (forall @t83 @t276)) % 0.84/1.11 (define @t278 () (or @t234 @t277)) % 0.84/1.11 (define @t279 () (or @t234 @t276)) % 0.84/1.11 (define @t280 () (or @t274 @t273 @t271 @t234)) % 0.84/1.11 (define @t281 () (and @t81 @t272 @t78 @t76)) % 0.84/1.11 (define @t282 () (forall @t83 (not @t281))) % 0.84/1.11 (define @t283 () (not @t282)) % 0.84/1.11 (define @t284 () (not (= @t217 @t217))) % 0.84/1.11 (define @t285 () (or @t238 @t218 @t284)) % 0.84/1.11 (define @t286 () (not (= @t28 @t217))) % 0.84/1.11 (define @t287 () (not @t32)) % 0.84/1.11 (define @t288 () (or @t286 @t287 @t96 @t286)) % 0.84/1.11 (define @t289 () (or @t287 @t96 @t286)) % 0.84/1.11 (define @t290 () (forall @t33 @t289)) % 0.84/1.11 (define @t291 () (or @t242 @t240 @t290)) % 0.84/1.11 (define @t292 () (or @t242 @t240 @t289)) % 0.84/1.11 (define @t293 () (or @t287 @t96 @t242 @t240 @t286)) % 0.84/1.11 (define @t294 () (or @t242 @t240 @t286)) % 0.84/1.11 (define @t295 () (not @t294)) % 0.84/1.11 (define @t296 () (not @t295)) % 0.84/1.11 (define @t297 () (not @t97)) % 0.84/1.11 (define @t298 () (or @t287 @t297 @t296)) % 0.84/1.11 (define @t299 () (and @t32 @t97 @t295)) % 0.84/1.11 (define @t300 () (forall @t33 (not @t299))) % 0.84/1.11 (define @t301 () (not @t300)) % 0.84/1.11 (define @t302 () (or @t240 @t286)) % 0.84/1.11 (define @t303 () (not (= @t91 @t91))) % 0.84/1.11 (define @t304 () (or @t240 @t286 @t303)) % 0.84/1.11 (define @t305 () (= @t27 @t91)) % 0.84/1.11 (define @t306 () (not @t305)) % 0.84/1.11 (define @t307 () (= @t28 @t92)) % 0.84/1.11 (define @t308 () (not @t307)) % 0.84/1.11 (define @t309 () (not @t93)) % 0.84/1.11 (define @t310 () (or @t306 @t309 @t308 @t306)) % 0.84/1.11 (define @t311 () (or @t309 @t308 @t306)) % 0.84/1.11 (define @t312 () (forall @t31 @t311)) % 0.84/1.11 (define @t313 () (or @t242 @t312)) % 0.84/1.11 (define @t314 () (or @t242 @t311)) % 0.84/1.11 (define @t315 () (or @t309 @t308 @t306 @t242)) % 0.84/1.11 (define @t316 () (and @t93 @t307 @t305 @t90)) % 0.84/1.11 (define @t317 () (forall @t31 (not @t316))) % 0.84/1.11 (define @t318 () (not @t317)) % 0.84/1.11 (define @t319 () (tptp.cons @t147 tptp.nil)) % 0.84/1.11 (define @t320 () (@quantifiers_skolemize @t145 0)) % 0.84/1.11 (define @t321 () (= @t320 @t319)) % 0.84/1.11 (define @t322 () (not @t321)) % 0.84/1.11 (define @t323 () (tptp.ssList @t319)) % 0.84/1.11 (define @t324 () (tptp.neq tptp.nil @t146)) % 0.84/1.11 (define @t325 () (and @t324 @t148 @t323 @t322)) % 0.84/1.11 (define @t326 () (tptp.ssList @t320)) % 0.84/1.11 (define @t327 () (and @t324 @t148 @t326 @t321)) % 0.84/1.11 (define @t328 () (not @t172)) % 0.84/1.11 (define @t329 () (not @t326)) % 0.84/1.11 (define @t330 () (or @t329 @t150 @t328 @t327 @t325)) % 0.84/1.11 (define @t331 () (@list true)) % 0.84/1.11 (define @t332 () (@list @t330)) % 0.84/1.11 (define @t333 () (@list false false false)) % 0.84/1.11 (define @t334 () (@list false true false)) % 0.84/1.11 (define @t335 () (= @t324 @t177)) % 0.84/1.11 (define @t336 () (or @t174 @t150 @t335)) % 0.84/1.11 (define @t337 () (not @t335)) % 0.84/1.11 (define @t338 () (@list true false)) % 0.84/1.11 (define @t339 () (not @t148)) % 0.84/1.11 (define @t340 () (not @t324)) % 0.84/1.11 (define @t341 () (not @t323)) % 0.84/1.11 (define @t342 () (or @t174 @t339 @t323)) % 0.84/1.11 (define @t343 () (not @t342)) % 0.84/1.11 (define @t344 () (forall @t121 @t118)) % 0.84/1.11 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.84/1.11 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.84/1.11 (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))))))))))) % 0.84/1.11 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.84/1.11 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.84/1.11 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.84/1.11 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.84/1.11 (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))))))))))))))))) % 0.84/1.11 (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)))))))))))))))) % 0.84/1.11 (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))))))))))))))))) % 0.84/1.11 (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))))))))))))))) % 0.84/1.11 (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))))))))))))))) % 0.84/1.11 (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)))))))))))))))) % 0.84/1.11 (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))))))))))))) % 0.84/1.11 (assume @p15 @t39) % 0.84/1.11 (assume @p16 @t44) % 0.84/1.11 (assume @p17 @t45) % 0.84/1.11 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.84/1.11 (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) @t46))))))))))) % 0.84/1.11 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 0.84/1.11 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.84/1.11 (assume @p22 @t54) % 0.84/1.11 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.84/1.11 (assume @p24 (forall @t9 (=> @t17 (=> @t51 (tptp.ssList @t55))))) % 0.84/1.11 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.84/1.11 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t56)))))) % 0.84/1.11 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t57) (tptp.app @t47 @t2))))))))) % 0.84/1.11 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.84/1.11 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 @t58) @t3)))))) % 0.84/1.11 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t26) (tptp.leq @t2 @t12))))))))) % 0.84/1.11 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.84/1.11 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t58)))))) % 0.84/1.11 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not @t61))))))) % 0.84/1.11 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t62 @t35) @t63)))))))) % 0.84/1.11 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 @t61)))))) % 0.84/1.11 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t65))))))))) % 0.84/1.11 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t65))))))))) % 0.84/1.11 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.84/1.11 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.84/1.11 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.84/1.11 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.84/1.11 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.84/1.11 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.84/1.11 (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)))))))))))) % 0.84/1.11 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.84/1.11 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 0.84/1.11 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.84/1.11 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.84/1.11 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.84/1.11 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t66 @t1))))))))) % 0.84/1.11 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.84/1.11 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 0.84/1.11 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.84/1.11 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.84/1.11 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.84/1.11 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 0.84/1.11 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.84/1.11 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 0.84/1.11 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t67)))) % 0.84/1.11 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.84/1.11 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t67)))) % 0.84/1.11 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.84/1.11 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t67)))) % 0.84/1.11 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.84/1.11 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t67)))) % 0.84/1.11 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.84/1.11 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t71) (or @t69 (and @t70 (tptp.totalorderedP @t1) (tptp.leq @t2 @t68))))))))) % 0.84/1.11 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t67)))) % 0.84/1.11 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.84/1.11 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t71) (or @t69 (and @t70 (tptp.strictorderedP @t1) (tptp.lt @t2 @t68))))))))) % 0.84/1.11 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t67)))) % 0.84/1.11 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.84/1.11 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t67)))) % 0.84/1.11 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.84/1.11 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 0.84/1.11 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 0.84/1.11 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t70 @t51 (= @t68 @t49) (= (tptp.tl @t1) @t55)) @t46)))))) % 0.84/1.11 (assume @p78 (forall @t9 (=> @t17 (=> @t51 (= (tptp.cons @t49 @t55) @t2))))) % 0.84/1.11 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t56) @t72)))))))) % 0.84/1.11 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t72)))))))) % 0.84/1.11 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.84/1.11 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t56 @t12) (tptp.app @t2 @t19))))))))) % 0.84/1.11 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t56) (and @t69 @t48))))))) % 0.84/1.11 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.84/1.11 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t56) @t49))))))) % 0.84/1.11 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t56) (tptp.app @t55 @t1)))))))) % 0.84/1.11 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 (tptp.geq @t1 @t2)) @t3)))))) % 0.84/1.11 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.84/1.11 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.84/1.11 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.84/1.11 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t35) @t63)))))))) % 0.84/1.11 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (or @t3 @t62))))))) % 0.84/1.11 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 (and @t4 @t59))))))) % 0.84/1.11 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not (tptp.gt @t1 @t2)))))))) % 0.84/1.11 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.84/1.11 (assume @p96 @t113) % 0.84/1.11 (assume @p97 true) % 0.84/1.11 (step @p98 :rule aci_norm :args ((= @t120 @t118))) % 0.84/1.11 (step @p99 :rule cong :premises (@p98) :args (@t122)) % 0.84/1.11 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t124) @t122))) % 0.84/1.11 (step @p101 :rule alpha_equiv :args (@t125 (@list @t114) @t126)) % 0.84/1.11 (step @p102 :rule refl :args (@t117)) % 0.84/1.11 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t127)) % 0.84/1.11 (step @p104 :rule quant-miniscope-or :args ((= @t124 @t127))) % 0.84/1.11 (step @p105 :rule trans :premises (@p104 @p103)) % 0.84/1.11 (step @p106 :rule symm :premises (@p105)) % 0.84/1.11 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t117 @t128)))) % 0.84/1.11 (step @p108 :rule trans :premises (@p107 @p100)) % 0.84/1.11 (step @p109 :rule trans :premises (@p108 @p99)) % 0.84/1.11 (step @p110 :rule bool-impl-elim :args (@t17 @t128)) % 0.84/1.11 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t128)))) % 0.84/1.11 (step @p112 :rule trans :premises (@p111 @p109)) % 0.84/1.11 (step @p113 :rule bool-impl-elim :args (@t6 @t41)) % 0.84/1.11 (step @p114 :rule cong :premises (@p113) :args (@t42)) % 0.84/1.11 (step @p115 :rule refl :args (@t17)) % 0.84/1.11 (step @p116 :rule cong :premises (@p115 @p114) :args (@t43)) % 0.84/1.11 (step @p117 :rule cong :premises (@p116) :args (@t44)) % 0.84/1.11 (step @p118 :rule trans :premises (@p117 @p112)) % 0.84/1.11 (step @p119 :rule eq_resolve :premises (@p16 @p118)) % 0.84/1.11 (step @p120 :rule aci_norm :args ((= (or @t117 (or @t129 @t50)) @t130))) % 0.84/1.11 (step @p121 :rule refl :args (@t50)) % 0.84/1.11 (step @p122 :rule bool-double-not-elim :args (@t129)) % 0.84/1.11 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t131) @t50))) % 0.84/1.11 (step @p124 :rule bool-impl-elim :args (@t131 @t50)) % 0.84/1.11 (step @p125 :rule trans :premises (@p124 @p123)) % 0.84/1.11 (step @p126 :rule nary_cong :premises (@p102 @p125) :args ((or @t117 @t132))) % 0.84/1.11 (step @p127 :rule trans :premises (@p126 @p120)) % 0.84/1.11 (step @p128 :rule bool-impl-elim :args (@t17 @t132)) % 0.84/1.11 (step @p129 :rule trans :premises (@p128 @p127)) % 0.84/1.11 (step @p130 :rule cong :premises (@p129) :args ((forall @t9 (=> @t17 @t132)))) % 0.84/1.11 (step @p131 :rule refl :args (@t50)) % 0.84/1.11 (step @p132 :rule eq-symm :args (tptp.nil @t2)) % 0.84/1.11 (step @p133 :rule cong :premises (@p132) :args (@t51)) % 0.84/1.11 (step @p134 :rule cong :premises (@p133 @p131) :args (@t52)) % 0.84/1.11 (step @p135 :rule cong :premises (@p115 @p134) :args (@t53)) % 0.84/1.11 (step @p136 :rule cong :premises (@p135) :args (@t54)) % 0.84/1.11 (step @p137 :rule trans :premises (@p136 @p130)) % 0.84/1.11 (step @p138 :rule eq_resolve :premises (@p22 @p137)) % 0.84/1.11 (step @p139 :rule refl :args (@t148)) % 0.84/1.11 (step @p140 :rule eq-symm :args (@t146 tptp.nil)) % 0.84/1.11 (step @p141 :rule refl :args (@t150)) % 0.84/1.11 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args (@t152)) % 0.84/1.11 (step @p143 :rule refl :args (@t153)) % 0.84/1.11 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t153 @t152))) % 0.84/1.11 (assume-push @p609 @t153) % 0.84/1.11 (step @p146 :rule instantiate :premises (@p138) :args ((@list @t146))) % 0.84/1.11 (step-pop @p610 :rule scope :premises (@p146)) % 0.84/1.11 (step @p147 :rule process_scope :premises (@p610) :args (@t152)) % 0.84/1.11 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.84/1.11 (step @p150 :rule implies_elim :premises (@p149)) % 0.84/1.11 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t155 @t156 (@list @t153))) % 0.84/1.11 (step @p152 :rule aci_norm :args ((= @t162 @t160))) % 0.84/1.11 (step @p153 :rule cong :premises (@p152) :args (@t164)) % 0.84/1.11 (step @p154 :rule quant-merge-prenex :args ((= (forall @t9 @t166) @t164))) % 0.84/1.11 (step @p155 :rule alpha_equiv :args (@t167 (@list @t157) @t126)) % 0.84/1.11 (step @p156 :rule nary_cong :premises (@p102 @p155) :args (@t168)) % 0.84/1.11 (step @p157 :rule quant-miniscope-or :args ((= @t166 @t168))) % 0.84/1.11 (step @p158 :rule trans :premises (@p157 @p156)) % 0.84/1.11 (step @p159 :rule symm :premises (@p158)) % 0.84/1.11 (step @p160 :rule cong :premises (@p159) :args ((forall @t9 (or @t117 @t170)))) % 0.84/1.11 (step @p161 :rule trans :premises (@p160 @p154)) % 0.84/1.11 (step @p162 :rule trans :premises (@p161 @p153)) % 0.84/1.11 (step @p163 :rule bool-impl-elim :args (@t17 @t170)) % 0.84/1.11 (step @p164 :rule cong :premises (@p163) :args ((forall @t9 (=> @t17 @t170)))) % 0.84/1.11 (step @p165 :rule trans :premises (@p164 @p162)) % 0.84/1.11 (step @p166 :rule bool-impl-elim :args (@t21 @t5)) % 0.84/1.11 (step @p167 :rule cong :premises (@p166) :args (@t37)) % 0.84/1.11 (step @p168 :rule cong :premises (@p115 @p167) :args (@t38)) % 0.84/1.11 (step @p169 :rule cong :premises (@p168) :args (@t39)) % 0.84/1.11 (step @p170 :rule trans :premises (@p169 @p165)) % 0.84/1.11 (step @p171 :rule eq_resolve :premises (@p15 @p170)) % 0.84/1.11 (step @p172 :rule cong :premises (@p140) :args (@t171)) % 0.84/1.11 (step @p173 :rule refl :args (@t172)) % 0.84/1.11 (step @p174 :rule cong :premises (@p173 @p172) :args (@t173)) % 0.84/1.11 (step @p175 :rule refl :args (@t174)) % 0.84/1.11 (step @p176 :rule nary_cong :premises (@p141 @p175 @p174) :args (@t175)) % 0.84/1.11 (step @p177 :rule refl :args (@t176)) % 0.84/1.11 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t176 @t175))) % 0.84/1.11 (assume-push @p611 @t176) % 0.84/1.11 (step @p180 :rule instantiate :premises (@p171) :args ((@list @t146 tptp.nil))) % 0.84/1.11 (step-pop @p612 :rule scope :premises (@p180)) % 0.84/1.11 (step @p181 :rule process_scope :premises (@p612) :args (@t175)) % 0.84/1.11 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.84/1.11 (step @p184 :rule implies_elim :premises (@p183)) % 0.84/1.11 (step @p185 :rule chain_m_resolution :premises (@p184 @p171) :args (@t179 @t156 (@list @t176))) % 0.84/1.11 (step @p186 :rule aci_norm :args ((= @t181 @t143))) % 0.84/1.11 (step @p187 :rule cong :premises (@p186) :args (@t182)) % 0.84/1.11 (step @p188 :rule quant-merge-prenex :args ((= (forall @t9 @t184) @t182))) % 0.84/1.11 (step @p189 :rule alpha_equiv :args (@t185 (@list @t133) @t126)) % 0.84/1.11 (step @p190 :rule nary_cong :premises (@p102 @p189) :args (@t186)) % 0.84/1.11 (step @p191 :rule quant-miniscope-or :args ((= @t184 @t186))) % 0.84/1.11 (step @p192 :rule trans :premises (@p191 @p190)) % 0.84/1.11 (step @p193 :rule symm :premises (@p192)) % 0.84/1.11 (step @p194 :rule cong :premises (@p193) :args ((forall @t9 @t195))) % 0.84/1.11 (step @p195 :rule trans :premises (@p194 @p188)) % 0.84/1.11 (step @p196 :rule trans :premises (@p195 @p187)) % 0.84/1.11 (step @p197 :rule aci_norm :args ((= (or @t117 @t195) @t195))) % 0.84/1.11 (step @p198 :rule bool-impl-elim :args (@t17 @t195)) % 0.84/1.11 (step @p199 :rule trans :premises (@p198 @p197)) % 0.84/1.11 (step @p200 :rule cong :premises (@p199) :args ((forall @t9 (=> @t17 @t195)))) % 0.84/1.11 (step @p201 :rule trans :premises (@p200 @p196)) % 0.84/1.11 (step @p202 :rule quant-miniscope-or :args ((= (forall @t7 @t196) @t195))) % 0.84/1.11 (step @p203 :rule aci_norm :args ((= @t197 @t196))) % 0.84/1.11 (step @p204 :rule cong :premises (@p203) :args ((forall @t7 @t197))) % 0.84/1.11 (step @p205 :rule trans :premises (@p204 @p202)) % 0.84/1.11 (step @p206 :rule aci_norm :args ((= (or @t169 @t197) @t197))) % 0.84/1.11 (step @p207 :rule bool-impl-elim :args (@t21 @t197)) % 0.84/1.11 (step @p208 :rule trans :premises (@p207 @p206)) % 0.84/1.11 (step @p209 :rule cong :premises (@p208) :args ((forall @t7 (=> @t21 @t197)))) % 0.84/1.11 (step @p210 :rule trans :premises (@p209 @p205)) % 0.84/1.11 (step @p211 :rule aci_norm :args ((= (or @t169 @t74 @t193 @t198) @t197))) % 0.84/1.11 (step @p212 :rule aci_norm :args ((= (or @t117 false @t192) @t198))) % 0.84/1.11 (step @p213 :rule refl :args (@t192)) % 0.84/1.11 (step @p214 :rule evaluate :args ((not true))) % 0.84/1.11 (step @p215 :rule eq-refl :args (@t2)) % 0.84/1.11 (step @p216 :rule cong :premises (@p215) :args (@t199)) % 0.84/1.11 (step @p217 :rule trans :premises (@p216 @p214)) % 0.84/1.11 (step @p218 :rule refl :args (@t117)) % 0.84/1.11 (step @p219 :rule nary_cong :premises (@p218 @p217 @p213) :args (@t200)) % 0.84/1.11 (step @p220 :rule trans :premises (@p219 @p212)) % 0.84/1.11 (step @p221 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t72) @t202 @t102 @t201)) @t200))) % 0.84/1.11 (step @p222 :rule refl :args (@t201)) % 0.84/1.11 (step @p223 :rule refl :args (@t102)) % 0.84/1.11 (step @p224 :rule refl :args (@t202)) % 0.84/1.11 (step @p225 :rule eq-symm :args (@t2 @t12)) % 0.84/1.11 (step @p226 :rule cong :premises (@p225) :args (@t102)) % 0.84/1.11 (step @p227 :rule nary_cong :premises (@p226 @p224 @p223 @p222) :args (@t203)) % 0.84/1.11 (step @p228 :rule aci_norm :args ((= @t204 @t203))) % 0.84/1.11 (step @p229 :rule trans :premises (@p228 @p227)) % 0.84/1.11 (step @p230 :rule cong :premises (@p229) :args (@t205)) % 0.84/1.11 (step @p231 :rule trans :premises (@p230 @p221)) % 0.84/1.11 (step @p232 :rule trans :premises (@p231 @p220)) % 0.84/1.11 (step @p233 :rule refl :args (@t193)) % 0.84/1.11 (step @p234 :rule refl :args (@t74)) % 0.84/1.11 (step @p235 :rule refl :args (@t169)) % 0.84/1.11 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p232) :args (@t206)) % 0.84/1.11 (step @p237 :rule trans :premises (@p236 @p211)) % 0.84/1.11 (step @p238 :rule quant-miniscope-or :args ((= (forall @t16 @t207) @t206))) % 0.84/1.11 (step @p239 :rule aci_norm :args ((= @t208 @t207))) % 0.84/1.11 (step @p240 :rule cong :premises (@p239) :args ((forall @t16 @t208))) % 0.84/1.11 (step @p241 :rule trans :premises (@p240 @p238)) % 0.84/1.11 (step @p242 :rule trans :premises (@p241 @p237)) % 0.84/1.11 (step @p243 :rule aci_norm :args ((= (or @t202 @t102 @t169 @t209) @t208))) % 0.84/1.11 (step @p244 :rule aci_norm :args ((= @t210 @t209))) % 0.84/1.11 (step @p245 :rule refl :args (@t102)) % 0.84/1.11 (step @p246 :rule refl :args (@t202)) % 0.84/1.11 (step @p247 :rule nary_cong :premises (@p246 @p245 @p235 @p244) :args (@t211)) % 0.84/1.11 (step @p248 :rule trans :premises (@p247 @p243)) % 0.84/1.11 (step @p249 :rule cong :premises (@p248) :args ((forall @t16 @t211))) % 0.84/1.11 (step @p250 :rule trans :premises (@p249 @p242)) % 0.84/1.11 (step @p251 :rule aci_norm :args ((= (or @t202 (or @t102 @t169 @t210)) @t211))) % 0.84/1.11 (step @p252 :rule bool-or-taut2 :args (false @t73 false false)) % 0.84/1.11 (step @p253 :rule refl :args (@t209)) % 0.84/1.11 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t212)) % 0.84/1.11 (step @p255 :rule refl :args (@t169)) % 0.84/1.11 (step @p256 :rule nary_cong :premises (@p223 @p255 @p254) :args (@t213)) % 0.84/1.11 (step @p257 :rule nary_cong :premises (@p224 @p256) :args ((or @t202 @t213))) % 0.84/1.11 (step @p258 :rule trans :premises (@p257 @p251)) % 0.84/1.11 (step @p259 :rule bool-impl-elim :args (@t15 @t213)) % 0.84/1.11 (step @p260 :rule trans :premises (@p259 @p258)) % 0.84/1.11 (step @p261 :rule cong :premises (@p260) :args ((forall @t16 (=> @t15 @t213)))) % 0.84/1.11 (step @p262 :rule trans :premises (@p261 @p250)) % 0.84/1.11 (step @p263 :rule aci_norm :args ((= (or @t102 @t214) @t213))) % 0.84/1.11 (step @p264 :rule aci_norm :args ((= (or @t169 false @t212) @t214))) % 0.84/1.11 (step @p265 :rule refl :args (@t212)) % 0.84/1.11 (step @p266 :rule eq-refl :args (@t1)) % 0.84/1.11 (step @p267 :rule cong :premises (@p266) :args (@t215)) % 0.84/1.11 (step @p268 :rule trans :premises (@p267 @p214)) % 0.84/1.11 (step @p269 :rule nary_cong :premises (@p235 @p268 @p265) :args (@t216)) % 0.84/1.11 (step @p270 :rule trans :premises (@p269 @p264)) % 0.84/1.11 (step @p271 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t223 @t103 @t222)) @t216))) % 0.84/1.11 (step @p272 :rule refl :args (@t222)) % 0.84/1.11 (step @p273 :rule refl :args (@t103)) % 0.84/1.11 (step @p274 :rule refl :args (@t223)) % 0.84/1.11 (step @p275 :rule eq-symm :args (@t1 @t10)) % 0.84/1.11 (step @p276 :rule cong :premises (@p275) :args (@t103)) % 0.84/1.11 (step @p277 :rule nary_cong :premises (@p276 @p274 @p273 @p272) :args (@t224)) % 0.84/1.11 (step @p278 :rule aci_norm :args ((= @t225 @t224))) % 0.84/1.11 (step @p279 :rule trans :premises (@p278 @p277)) % 0.84/1.11 (step @p280 :rule cong :premises (@p279) :args (@t226)) % 0.84/1.11 (step @p281 :rule trans :premises (@p280 @p271)) % 0.84/1.11 (step @p282 :rule trans :premises (@p281 @p270)) % 0.84/1.11 (step @p283 :rule nary_cong :premises (@p245 @p282) :args (@t227)) % 0.84/1.11 (step @p284 :rule trans :premises (@p283 @p263)) % 0.84/1.11 (step @p285 :rule quant-miniscope-or :args ((= (forall @t14 @t228) @t227))) % 0.84/1.11 (step @p286 :rule aci_norm :args ((= @t229 @t228))) % 0.84/1.11 (step @p287 :rule cong :premises (@p286) :args ((forall @t14 @t229))) % 0.84/1.11 (step @p288 :rule trans :premises (@p287 @p285)) % 0.84/1.11 (step @p289 :rule trans :premises (@p288 @p284)) % 0.84/1.11 (step @p290 :rule aci_norm :args ((= (or @t223 (or @t103 @t102 @t222)) @t229))) % 0.84/1.11 (step @p291 :rule refl :args (@t75)) % 0.84/1.11 (step @p292 :rule bool-double-not-elim :args (@t188)) % 0.84/1.11 (step @p293 :rule bool-double-not-elim :args (@t17)) % 0.84/1.11 (step @p294 :rule bool-double-not-elim :args (@t191)) % 0.84/1.11 (step @p295 :rule bool-double-not-elim :args (@t76)) % 0.84/1.11 (step @p296 :rule nary_cong :premises (@p295 @p294 @p293 @p292) :args (@t236)) % 0.84/1.11 (step @p297 :rule aci_norm :args ((= (and @t235 (and @t233 (and @t231 @t230))) @t236))) % 0.84/1.11 (step @p298 :rule trans :premises (@p297 @p296)) % 0.84/1.11 (step @p299 :rule bool-or-de-morgan :args (@t117 @t189 false)) % 0.84/1.11 (step @p300 :rule refl :args (@t233)) % 0.84/1.11 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((and @t233 (not @t237)))) % 0.84/1.11 (step @p302 :rule bool-or-de-morgan :args (@t232 @t117 (or @t189))) % 0.84/1.11 (step @p303 :rule trans :premises (@p302 @p301)) % 0.84/1.11 (step @p304 :rule refl :args (@t235)) % 0.84/1.11 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((and @t235 (not (or @t232 @t117 @t189))))) % 0.84/1.11 (step @p306 :rule bool-or-de-morgan :args (@t234 @t232 (or @t117 @t189))) % 0.84/1.11 (step @p307 :rule trans :premises (@p306 @p305)) % 0.84/1.11 (step @p308 :rule trans :premises (@p307 @p298)) % 0.84/1.11 (step @p309 :rule refl :args (@t219)) % 0.84/1.11 (step @p310 :rule bool-double-not-elim :args (@t220)) % 0.84/1.11 (step @p311 :rule bool-double-not-elim :args (@t221)) % 0.84/1.11 (step @p312 :rule bool-double-not-elim :args (@t90)) % 0.84/1.11 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309) :args (@t244)) % 0.84/1.11 (step @p314 :rule aci_norm :args ((= (and @t243 (and @t241 (and @t239 @t219))) @t244))) % 0.84/1.11 (step @p315 :rule trans :premises (@p314 @p313)) % 0.84/1.11 (step @p316 :rule bool-or-de-morgan :args (@t238 @t218 false)) % 0.84/1.11 (step @p317 :rule refl :args (@t241)) % 0.84/1.11 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((and @t241 (not @t245)))) % 0.84/1.11 (step @p319 :rule bool-or-de-morgan :args (@t240 @t238 (or @t218))) % 0.84/1.11 (step @p320 :rule trans :premises (@p319 @p318)) % 0.84/1.11 (step @p321 :rule refl :args (@t243)) % 0.84/1.11 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((and @t243 (not (or @t240 @t238 @t218))))) % 0.84/1.11 (step @p323 :rule bool-or-de-morgan :args (@t242 @t240 (or @t238 @t218))) % 0.84/1.11 (step @p324 :rule trans :premises (@p323 @p322)) % 0.84/1.11 (step @p325 :rule trans :premises (@p324 @p315)) % 0.84/1.11 (step @p326 :rule refl :args (@t74)) % 0.84/1.11 (step @p327 :rule nary_cong :premises (@p326 @p325 @p308) :args (@t248)) % 0.84/1.11 (step @p328 :rule nary_cong :premises (@p327 @p291) :args (@t249)) % 0.84/1.11 (step @p329 :rule nary_cong :premises (@p273 @p223 @p328) :args (@t250)) % 0.84/1.11 (step @p330 :rule nary_cong :premises (@p274 @p329) :args ((or @t223 @t250))) % 0.84/1.11 (step @p331 :rule trans :premises (@p330 @p290)) % 0.84/1.11 (step @p332 :rule bool-impl-elim :args (@t13 @t250)) % 0.84/1.11 (step @p333 :rule trans :premises (@p332 @p331)) % 0.84/1.11 (step @p334 :rule cong :premises (@p333) :args ((forall @t14 (=> @t13 @t250)))) % 0.84/1.11 (step @p335 :rule trans :premises (@p334 @p289)) % 0.84/1.11 (step @p336 :rule refl :args (@t75)) % 0.84/1.11 (step @p337 :rule aci_norm :args ((= (or @t234 @t232 @t237) @t246))) % 0.84/1.11 (step @p338 :rule aci_norm :args ((= (or @t117 false @t189) @t237))) % 0.84/1.11 (step @p339 :rule refl :args (@t189)) % 0.84/1.11 (step @p340 :rule nary_cong :premises (@p218 @p217 @p339) :args (@t251)) % 0.84/1.11 (step @p341 :rule trans :premises (@p340 @p338)) % 0.84/1.11 (step @p342 :rule quant-var-elim-eq :args ((= (forall @t88 (or (not (= @t79 @t2)) @t254 @t253 @t252)) @t251))) % 0.84/1.11 (step @p343 :rule refl :args (@t252)) % 0.84/1.11 (step @p344 :rule refl :args (@t253)) % 0.84/1.11 (step @p345 :rule refl :args (@t254)) % 0.84/1.11 (step @p346 :rule eq-symm :args (@t2 @t79)) % 0.84/1.11 (step @p347 :rule cong :premises (@p346) :args (@t253)) % 0.84/1.11 (step @p348 :rule nary_cong :premises (@p347 @p345 @p344 @p343) :args (@t255)) % 0.84/1.11 (step @p349 :rule aci_norm :args ((= @t256 @t255))) % 0.84/1.11 (step @p350 :rule trans :premises (@p349 @p348)) % 0.84/1.11 (step @p351 :rule cong :premises (@p350) :args (@t257)) % 0.84/1.11 (step @p352 :rule trans :premises (@p351 @p342)) % 0.84/1.11 (step @p353 :rule trans :premises (@p352 @p341)) % 0.84/1.11 (step @p354 :rule refl :args (@t232)) % 0.84/1.11 (step @p355 :rule refl :args (@t234)) % 0.84/1.11 (step @p356 :rule nary_cong :premises (@p355 @p354 @p353) :args (@t258)) % 0.84/1.11 (step @p357 :rule trans :premises (@p356 @p337)) % 0.84/1.11 (step @p358 :rule quant-miniscope-or :args ((= (forall @t88 @t259) @t258))) % 0.84/1.11 (step @p359 :rule aci_norm :args ((= @t260 @t259))) % 0.84/1.11 (step @p360 :rule cong :premises (@p359) :args ((forall @t88 @t260))) % 0.84/1.11 (step @p361 :rule trans :premises (@p360 @p358)) % 0.84/1.11 (step @p362 :rule trans :premises (@p361 @p357)) % 0.84/1.11 (step @p363 :rule aci_norm :args ((= (or @t254 @t253 @t261) @t260))) % 0.84/1.11 (step @p364 :rule bool-double-not-elim :args (@t261)) % 0.84/1.11 (step @p365 :rule nary_cong :premises (@p345 @p344 @p364) :args (@t264)) % 0.84/1.11 (step @p366 :rule aci_norm :args ((= (or @t254 (or @t253 @t263)) @t264))) % 0.84/1.11 (step @p367 :rule trans :premises (@p366 @p365)) % 0.84/1.11 (step @p368 :rule bool-and-de-morgan :args (@t85 @t262 true)) % 0.84/1.11 (step @p369 :rule nary_cong :premises (@p345 @p368) :args ((or @t254 (not (and @t85 @t262))))) % 0.84/1.11 (step @p370 :rule bool-and-de-morgan :args (@t86 @t85 (and @t262))) % 0.84/1.11 (step @p371 :rule trans :premises (@p370 @p369)) % 0.84/1.11 (step @p372 :rule trans :premises (@p371 @p367)) % 0.84/1.11 (step @p373 :rule trans :premises (@p372 @p363)) % 0.84/1.11 (step @p374 :rule cong :premises (@p373) :args (@t266)) % 0.84/1.11 (step @p375 :rule trans :premises (@p374 @p362)) % 0.84/1.11 (step @p376 :rule cong :premises (@p375) :args (@t267)) % 0.84/1.11 (step @p377 :rule exists-elim :args ((= (exists @t88 @t265) @t267))) % 0.84/1.11 (step @p378 :rule trans :premises (@p377 @p376)) % 0.84/1.11 (step @p379 :rule aci_norm :args ((= (or @t234 @t268) @t261))) % 0.84/1.11 (step @p380 :rule aci_norm :args ((= (or @t232 @t252 false) @t268))) % 0.84/1.11 (step @p381 :rule eq-refl :args (@t68)) % 0.84/1.11 (step @p382 :rule cong :premises (@p381) :args (@t269)) % 0.84/1.11 (step @p383 :rule trans :premises (@p382 @p214)) % 0.84/1.11 (step @p384 :rule refl :args (@t252)) % 0.84/1.11 (step @p385 :rule nary_cong :premises (@p354 @p384 @p383) :args (@t270)) % 0.84/1.11 (step @p386 :rule trans :premises (@p385 @p380)) % 0.84/1.11 (step @p387 :rule quant-var-elim-eq :args ((= (forall @t83 (or (not (= @t77 @t68)) @t274 @t273 @t271)) @t270))) % 0.84/1.11 (step @p388 :rule refl :args (@t271)) % 0.84/1.11 (step @p389 :rule refl :args (@t273)) % 0.84/1.11 (step @p390 :rule refl :args (@t274)) % 0.84/1.11 (step @p391 :rule eq-symm :args (@t68 @t77)) % 0.84/1.11 (step @p392 :rule cong :premises (@p391) :args (@t271)) % 0.84/1.11 (step @p393 :rule nary_cong :premises (@p392 @p390 @p389 @p388) :args (@t275)) % 0.84/1.11 (step @p394 :rule aci_norm :args ((= @t276 @t275))) % 0.84/1.11 (step @p395 :rule trans :premises (@p394 @p393)) % 0.84/1.11 (step @p396 :rule cong :premises (@p395) :args (@t277)) % 0.84/1.11 (step @p397 :rule trans :premises (@p396 @p387)) % 0.84/1.11 (step @p398 :rule trans :premises (@p397 @p386)) % 0.84/1.11 (step @p399 :rule nary_cong :premises (@p355 @p398) :args (@t278)) % 0.84/1.11 (step @p400 :rule trans :premises (@p399 @p379)) % 0.84/1.11 (step @p401 :rule quant-miniscope-or :args ((= (forall @t83 @t279) @t278))) % 0.84/1.11 (step @p402 :rule aci_norm :args ((= @t280 @t279))) % 0.84/1.11 (step @p403 :rule cong :premises (@p402) :args ((forall @t83 @t280))) % 0.84/1.11 (step @p404 :rule trans :premises (@p403 @p401)) % 0.84/1.11 (step @p405 :rule trans :premises (@p404 @p400)) % 0.84/1.11 (step @p406 :rule aci_norm :args ((= (or @t274 (or @t273 (or @t271 @t234))) @t280))) % 0.84/1.11 (step @p407 :rule bool-and-de-morgan :args (@t78 @t76 true)) % 0.84/1.11 (step @p408 :rule nary_cong :premises (@p389 @p407) :args ((or @t273 (not (and @t78 @t76))))) % 0.84/1.11 (step @p409 :rule bool-and-de-morgan :args (@t272 @t78 (and @t76))) % 0.84/1.11 (step @p410 :rule trans :premises (@p409 @p408)) % 0.84/1.11 (step @p411 :rule nary_cong :premises (@p390 @p410) :args ((or @t274 (not (and @t272 @t78 @t76))))) % 0.84/1.11 (step @p412 :rule bool-and-de-morgan :args (@t81 @t272 (and @t78 @t76))) % 0.84/1.11 (step @p413 :rule trans :premises (@p412 @p411)) % 0.84/1.11 (step @p414 :rule trans :premises (@p413 @p406)) % 0.84/1.11 (step @p415 :rule cong :premises (@p414) :args (@t282)) % 0.84/1.11 (step @p416 :rule trans :premises (@p415 @p405)) % 0.84/1.11 (step @p417 :rule cong :premises (@p416) :args (@t283)) % 0.84/1.11 (step @p418 :rule exists-elim :args ((= (exists @t83 @t281) @t283))) % 0.84/1.11 (step @p419 :rule trans :premises (@p418 @p417)) % 0.84/1.11 (step @p420 :rule refl :args (@t76)) % 0.84/1.11 (step @p421 :rule refl :args (@t78)) % 0.84/1.11 (step @p422 :rule eq-symm :args (@t80 @t79)) % 0.84/1.11 (step @p423 :rule refl :args (@t81)) % 0.84/1.11 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421 @p420) :args (@t82)) % 0.84/1.11 (step @p425 :rule cong :premises (@p424) :args (@t84)) % 0.84/1.11 (step @p426 :rule trans :premises (@p425 @p419)) % 0.84/1.11 (step @p427 :rule refl :args (@t85)) % 0.84/1.11 (step @p428 :rule refl :args (@t86)) % 0.84/1.11 (step @p429 :rule nary_cong :premises (@p428 @p427 @p426) :args (@t87)) % 0.84/1.11 (step @p430 :rule cong :premises (@p429) :args (@t89)) % 0.84/1.11 (step @p431 :rule trans :premises (@p430 @p378)) % 0.84/1.11 (step @p432 :rule aci_norm :args ((= (or @t242 @t240 @t245) @t247))) % 0.84/1.11 (step @p433 :rule aci_norm :args ((= (or @t238 @t218 false) @t245))) % 0.84/1.11 (step @p434 :rule eq-refl :args (@t217)) % 0.84/1.11 (step @p435 :rule cong :premises (@p434) :args (@t284)) % 0.84/1.11 (step @p436 :rule trans :premises (@p435 @p214)) % 0.84/1.11 (step @p437 :rule refl :args (@t218)) % 0.84/1.11 (step @p438 :rule refl :args (@t238)) % 0.84/1.11 (step @p439 :rule nary_cong :premises (@p438 @p437 @p436) :args (@t285)) % 0.84/1.11 (step @p440 :rule trans :premises (@p439 @p433)) % 0.84/1.11 (step @p441 :rule quant-var-elim-eq :args ((= (forall @t33 @t288) @t285))) % 0.84/1.11 (step @p442 :rule aci_norm :args ((= @t289 @t288))) % 0.84/1.11 (step @p443 :rule cong :premises (@p442) :args (@t290)) % 0.84/1.11 (step @p444 :rule trans :premises (@p443 @p441)) % 0.84/1.11 (step @p445 :rule trans :premises (@p444 @p440)) % 0.84/1.11 (step @p446 :rule refl :args (@t240)) % 0.84/1.11 (step @p447 :rule refl :args (@t242)) % 0.84/1.11 (step @p448 :rule nary_cong :premises (@p447 @p446 @p445) :args (@t291)) % 0.84/1.11 (step @p449 :rule trans :premises (@p448 @p432)) % 0.84/1.11 (step @p450 :rule quant-miniscope-or :args ((= (forall @t33 @t292) @t291))) % 0.84/1.11 (step @p451 :rule aci_norm :args ((= @t293 @t292))) % 0.84/1.11 (step @p452 :rule cong :premises (@p451) :args ((forall @t33 @t293))) % 0.84/1.11 (step @p453 :rule trans :premises (@p452 @p450)) % 0.84/1.11 (step @p454 :rule trans :premises (@p453 @p449)) % 0.84/1.11 (step @p455 :rule aci_norm :args ((= (or @t287 @t96 @t294) @t293))) % 0.84/1.11 (step @p456 :rule bool-double-not-elim :args (@t294)) % 0.84/1.11 (step @p457 :rule bool-double-not-elim :args (@t96)) % 0.84/1.11 (step @p458 :rule refl :args (@t287)) % 0.84/1.11 (step @p459 :rule nary_cong :premises (@p458 @p457 @p456) :args (@t298)) % 0.84/1.11 (step @p460 :rule aci_norm :args ((= (or @t287 (or @t297 @t296)) @t298))) % 0.84/1.11 (step @p461 :rule trans :premises (@p460 @p459)) % 0.84/1.11 (step @p462 :rule bool-and-de-morgan :args (@t97 @t295 true)) % 0.84/1.11 (step @p463 :rule nary_cong :premises (@p458 @p462) :args ((or @t287 (not (and @t97 @t295))))) % 0.84/1.11 (step @p464 :rule bool-and-de-morgan :args (@t32 @t97 (and @t295))) % 0.84/1.11 (step @p465 :rule trans :premises (@p464 @p463)) % 0.84/1.11 (step @p466 :rule trans :premises (@p465 @p461)) % 0.84/1.11 (step @p467 :rule trans :premises (@p466 @p455)) % 0.84/1.11 (step @p468 :rule cong :premises (@p467) :args (@t300)) % 0.84/1.11 (step @p469 :rule trans :premises (@p468 @p454)) % 0.84/1.11 (step @p470 :rule cong :premises (@p469) :args (@t301)) % 0.84/1.11 (step @p471 :rule exists-elim :args ((= (exists @t33 @t299) @t301))) % 0.84/1.11 (step @p472 :rule trans :premises (@p471 @p470)) % 0.84/1.11 (step @p473 :rule aci_norm :args ((= (or @t242 @t302) @t294))) % 0.84/1.11 (step @p474 :rule aci_norm :args ((= (or @t240 @t286 false) @t302))) % 0.84/1.11 (step @p475 :rule eq-refl :args (@t91)) % 0.84/1.11 (step @p476 :rule cong :premises (@p475) :args (@t303)) % 0.84/1.11 (step @p477 :rule trans :premises (@p476 @p214)) % 0.84/1.11 (step @p478 :rule refl :args (@t286)) % 0.84/1.11 (step @p479 :rule nary_cong :premises (@p446 @p478 @p477) :args (@t304)) % 0.84/1.11 (step @p480 :rule trans :premises (@p479 @p474)) % 0.84/1.11 (step @p481 :rule quant-var-elim-eq :args ((= (forall @t31 @t310) @t304))) % 0.84/1.11 (step @p482 :rule aci_norm :args ((= @t311 @t310))) % 0.84/1.11 (step @p483 :rule cong :premises (@p482) :args (@t312)) % 0.84/1.11 (step @p484 :rule trans :premises (@p483 @p481)) % 0.84/1.11 (step @p485 :rule trans :premises (@p484 @p480)) % 0.84/1.11 (step @p486 :rule nary_cong :premises (@p447 @p485) :args (@t313)) % 0.84/1.11 (step @p487 :rule trans :premises (@p486 @p473)) % 0.84/1.11 (step @p488 :rule quant-miniscope-or :args ((= (forall @t31 @t314) @t313))) % 0.84/1.11 (step @p489 :rule aci_norm :args ((= @t315 @t314))) % 0.84/1.11 (step @p490 :rule cong :premises (@p489) :args ((forall @t31 @t315))) % 0.84/1.11 (step @p491 :rule trans :premises (@p490 @p488)) % 0.84/1.11 (step @p492 :rule trans :premises (@p491 @p487)) % 0.84/1.11 (step @p493 :rule aci_norm :args ((= (or @t309 (or @t308 (or @t306 @t242))) @t315))) % 0.84/1.11 (step @p494 :rule bool-and-de-morgan :args (@t305 @t90 true)) % 0.84/1.11 (step @p495 :rule refl :args (@t308)) % 0.84/1.11 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t308 (not (and @t305 @t90))))) % 0.84/1.11 (step @p497 :rule bool-and-de-morgan :args (@t307 @t305 (and @t90))) % 0.84/1.11 (step @p498 :rule trans :premises (@p497 @p496)) % 0.84/1.11 (step @p499 :rule refl :args (@t309)) % 0.84/1.11 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or @t309 (not (and @t307 @t305 @t90))))) % 0.84/1.11 (step @p501 :rule bool-and-de-morgan :args (@t93 @t307 (and @t305 @t90))) % 0.84/1.11 (step @p502 :rule trans :premises (@p501 @p500)) % 0.84/1.11 (step @p503 :rule trans :premises (@p502 @p493)) % 0.84/1.11 (step @p504 :rule cong :premises (@p503) :args (@t317)) % 0.84/1.11 (step @p505 :rule trans :premises (@p504 @p492)) % 0.84/1.11 (step @p506 :rule cong :premises (@p505) :args (@t318)) % 0.84/1.11 (step @p507 :rule exists-elim :args ((= (exists @t31 @t316) @t318))) % 0.84/1.11 (step @p508 :rule trans :premises (@p507 @p506)) % 0.84/1.11 (step @p509 :rule refl :args (@t90)) % 0.84/1.11 (step @p510 :rule eq-symm :args (@t91 @t27)) % 0.84/1.11 (step @p511 :rule eq-symm :args (@t92 @t28)) % 0.84/1.11 (step @p512 :rule refl :args (@t93)) % 0.84/1.11 (step @p513 :rule nary_cong :premises (@p512 @p511 @p510 @p509) :args (@t94)) % 0.84/1.11 (step @p514 :rule cong :premises (@p513) :args (@t95)) % 0.84/1.11 (step @p515 :rule trans :premises (@p514 @p508)) % 0.84/1.11 (step @p516 :rule refl :args (@t97)) % 0.84/1.11 (step @p517 :rule refl :args (@t32)) % 0.84/1.11 (step @p518 :rule nary_cong :premises (@p517 @p516 @p515) :args (@t98)) % 0.84/1.11 (step @p519 :rule cong :premises (@p518) :args (@t99)) % 0.84/1.11 (step @p520 :rule trans :premises (@p519 @p472)) % 0.84/1.11 (step @p521 :rule nary_cong :premises (@p234 @p520 @p431) :args (@t100)) % 0.84/1.11 (step @p522 :rule nary_cong :premises (@p521 @p336) :args (@t101)) % 0.84/1.11 (step @p523 :rule refl :args (@t103)) % 0.84/1.11 (step @p524 :rule nary_cong :premises (@p523 @p245 @p522) :args (@t104)) % 0.84/1.11 (step @p525 :rule refl :args (@t13)) % 0.84/1.11 (step @p526 :rule cong :premises (@p525 @p524) :args (@t105)) % 0.84/1.11 (step @p527 :rule cong :premises (@p526) :args (@t106)) % 0.84/1.11 (step @p528 :rule trans :premises (@p527 @p335)) % 0.84/1.11 (step @p529 :rule refl :args (@t15)) % 0.84/1.11 (step @p530 :rule cong :premises (@p529 @p528) :args (@t107)) % 0.84/1.11 (step @p531 :rule cong :premises (@p530) :args (@t108)) % 0.84/1.11 (step @p532 :rule trans :premises (@p531 @p262)) % 0.84/1.11 (step @p533 :rule refl :args (@t21)) % 0.84/1.11 (step @p534 :rule cong :premises (@p533 @p532) :args (@t109)) % 0.84/1.11 (step @p535 :rule cong :premises (@p534) :args (@t110)) % 0.84/1.11 (step @p536 :rule trans :premises (@p535 @p210)) % 0.84/1.11 (step @p537 :rule cong :premises (@p115 @p536) :args (@t111)) % 0.84/1.11 (step @p538 :rule cong :premises (@p537) :args (@t112)) % 0.84/1.11 (step @p539 :rule trans :premises (@p538 @p201)) % 0.84/1.11 (step @p540 :rule cong :premises (@p539) :args (@t113)) % 0.84/1.11 (step @p541 :rule eq_resolve :premises (@p96 @p540)) % 0.84/1.11 (step @p542 :rule skolemize :premises (@p541)) % 0.84/1.11 (step @p543 :rule bool-double-not-elim :args (@t149)) % 0.84/1.11 (step @p544 :rule refl :args (@t330)) % 0.84/1.11 (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or @t330 (not @t150)))) % 0.84/1.11 (step @p546 :rule cnf_or_neg :args (@t330 1)) % 0.84/1.11 (step @p547 :rule eq_resolve :premises (@p546 @p545)) % 0.84/1.11 (step @p548 :rule reordering :premises (@p547) :args ((or @t149 @t330))) % 0.84/1.11 (step @p549 :rule chain_m_resolution :premises (@p548 @p542) :args (@t149 @t331 @t332)) % 0.84/1.11 (step @p550 :rule cnf_or_pos :args (@t179)) % 0.84/1.11 (step @p551 :rule reordering :premises (@p550) :args ((or @t174 @t150 @t178 (not @t179)))) % 0.84/1.11 (step @p552 :rule chain_m_resolution :premises (@p551 @p17 @p549 @p185) :args (@t178 @t333 (@list @t45 @t149 @t179))) % 0.84/1.11 (step @p553 :rule bool-double-not-elim :args (@t172)) % 0.84/1.11 (step @p554 :rule nary_cong :premises (@p544 @p553) :args ((or @t330 (not @t328)))) % 0.84/1.11 (step @p555 :rule cnf_or_neg :args (@t330 2)) % 0.84/1.11 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 0.84/1.11 (step @p557 :rule reordering :premises (@p556) :args ((or @t172 @t330))) % 0.84/1.11 (step @p558 :rule chain_m_resolution :premises (@p557 @p542) :args (@t172 @t331 @t332)) % 0.84/1.11 (step @p559 :rule cnf_equiv_pos1 :args (@t178)) % 0.84/1.11 (step @p560 :rule reordering :premises (@p559) :args ((or @t328 @t177 (not @t178)))) % 0.84/1.11 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p552) :args (@t177 (@list false false) (@list @t172 @t178))) % 0.84/1.11 (step @p562 :rule cnf_or_pos :args (@t155)) % 0.84/1.11 (step @p563 :rule reordering :premises (@p562) :args ((or @t150 @t148 @t154 (not @t155)))) % 0.84/1.11 (step @p564 :rule chain_m_resolution :premises (@p563 @p549 @p561 @p151) :args (@t148 @t334 (@list @t149 @t154 @t155))) % 0.84/1.11 (step @p565 :rule instantiate :premises (@p171) :args ((@list tptp.nil @t146))) % 0.84/1.11 (step @p566 :rule cnf_or_pos :args (@t336)) % 0.84/1.11 (step @p567 :rule reordering :premises (@p566) :args ((or @t174 @t150 @t335 (not @t336)))) % 0.84/1.11 (step @p568 :rule chain_m_resolution :premises (@p567 @p17 @p549 @p565) :args (@t335 @t333 (@list @t45 @t149 @t336))) % 0.84/1.11 (step @p569 :rule bool-double-not-elim :args (@t154)) % 0.84/1.11 (step @p570 :rule refl :args (@t324)) % 0.84/1.11 (step @p571 :rule refl :args (@t337)) % 0.84/1.11 (step @p572 :rule nary_cong :premises (@p571 @p570 @p569) :args ((or @t337 @t324 (not @t177)))) % 0.84/1.11 (step @p573 :rule cnf_equiv_pos2 :args (@t335)) % 0.84/1.11 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 0.84/1.11 (step @p575 :rule reordering :premises (@p574) :args ((or @t324 @t154 @t337))) % 0.84/1.11 (step @p576 :rule chain_m_resolution :premises (@p575 @p561 @p568) :args (@t324 @t338 (@list @t154 @t335))) % 0.84/1.11 (step @p577 :rule cnf_or_neg :args (@t330 4)) % 0.84/1.11 (step @p578 :rule chain_m_resolution :premises (@p577 @p542) :args ((not @t325) @t331 @t332)) % 0.84/1.11 (step @p579 :rule cnf_or_neg :args (@t330 3)) % 0.84/1.11 (step @p580 :rule chain_m_resolution :premises (@p579 @p542) :args ((not @t327) @t331 @t332)) % 0.84/1.11 (step @p581 :rule bool-double-not-elim :args (@t326)) % 0.84/1.11 (step @p582 :rule nary_cong :premises (@p544 @p581) :args ((or @t330 (not @t329)))) % 0.84/1.11 (step @p583 :rule cnf_or_neg :args (@t330 0)) % 0.84/1.11 (step @p584 :rule eq_resolve :premises (@p583 @p582)) % 0.84/1.11 (step @p585 :rule reordering :premises (@p584) :args ((or @t326 @t330))) % 0.84/1.11 (step @p586 :rule chain_m_resolution :premises (@p585 @p542) :args (@t326 @t331 @t332)) % 0.84/1.11 (step @p587 :rule cnf_and_neg :args (@t327)) % 0.84/1.11 (step @p588 :rule reordering :premises (@p587) :args ((or @t329 @t327 @t322 @t340 @t339))) % 0.84/1.11 (step @p589 :rule chain_m_resolution :premises (@p588 @p586 @p580 @p576 @p564) :args (@t322 (@list false true false false) (@list @t326 @t327 @t324 @t148))) % 0.84/1.11 (step @p590 :rule bool-double-not-elim :args (@t321)) % 0.84/1.11 (step @p591 :rule refl :args (@t341)) % 0.84/1.11 (step @p592 :rule refl :args (@t339)) % 0.84/1.11 (step @p593 :rule refl :args (@t340)) % 0.84/1.11 (step @p594 :rule refl :args (@t325)) % 0.84/1.11 (step @p595 :rule nary_cong :premises (@p594 @p593 @p592 @p591 @p590) :args ((or @t325 @t340 @t339 @t341 (not @t322)))) % 0.84/1.11 (step @p596 :rule cnf_and_neg :args (@t325)) % 0.84/1.11 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 0.84/1.11 (step @p598 :rule reordering :premises (@p597) :args ((or @t321 @t325 @t340 @t339 @t341))) % 0.84/1.11 (step @p599 :rule chain_m_resolution :premises (@p598 @p589 @p578 @p576 @p564) :args (@t341 (@list true true false false) (@list @t321 @t325 @t324 @t148))) % 0.84/1.11 (step @p600 :rule cnf_or_pos :args (@t342)) % 0.84/1.11 (step @p601 :rule reordering :premises (@p600) :args ((or @t174 @t323 @t339 @t343))) % 0.84/1.11 (step @p602 :rule chain_m_resolution :premises (@p601 @p17 @p599 @p564) :args (@t343 @t334 (@list @t45 @t323 @t148))) % 0.84/1.11 (assume-push @p613 @t344) % 0.84/1.11 (step @p604 :rule instantiate :premises (@p119) :args ((@list tptp.nil @t147))) % 0.84/1.11 (step-pop @p614 :rule scope :premises (@p604)) % 0.84/1.11 (step @p605 :rule process_scope :premises (@p614) :args (@t342)) % 0.84/1.11 (step @p607 :rule implies_elim :premises (@p605)) % 0.84/1.11 (step @p608 false :rule chain_m_resolution :premises (@p607 @p602 @p119) :args (false @t338 (@list @t342 @t344))) % 0.84/1.11 ) % 0.84/1.11 % SZS output end Proof % 0.84/1.11 % cvc5 exiting %------------------------------------------------------------------------------