%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC061+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 : n015.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 08:57:53 AM UTC 2026 % Result : Theorem 19.32s 19.60s % Output : Proof 15.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC061+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:12:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 19.32/19.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.32/19.60 --- Run --no-e-matching --full-saturate-quant at 6... % 19.32/19.60 % SZS status Theorem % 19.32/19.60 % SZS output start Proof % 19.32/19.60 ( % 19.32/19.60 (declare-sort $$unsorted 0) % 19.32/19.60 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 19.32/19.60 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 19.32/19.60 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 19.32/19.60 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 19.32/19.60 (declare-const tptp.nil $$unsorted) % 19.32/19.60 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.ssList (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 19.32/19.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 19.32/19.60 (define @t1 () (@var "V" $$unsorted)) % 19.32/19.60 (define @t2 () (@var "U" $$unsorted)) % 19.32/19.60 (define @t3 () (= @t2 @t1)) % 19.32/19.60 (define @t4 () (not @t3)) % 19.32/19.60 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 19.32/19.60 (define @t6 () (tptp.ssItem @t1)) % 19.32/19.60 (define @t7 () (@list @t1)) % 19.32/19.60 (define @t8 () (tptp.ssItem @t2)) % 19.32/19.60 (define @t9 () (@list @t2)) % 19.32/19.60 (define @t10 () (@var "X" $$unsorted)) % 19.32/19.60 (define @t11 () (tptp.cons @t1 @t10)) % 19.32/19.60 (define @t12 () (@var "W" $$unsorted)) % 19.32/19.60 (define @t13 () (tptp.ssList @t10)) % 19.32/19.60 (define @t14 () (@list @t10)) % 19.32/19.60 (define @t15 () (tptp.ssList @t12)) % 19.32/19.60 (define @t16 () (@list @t12)) % 19.32/19.60 (define @t17 () (tptp.ssList @t2)) % 19.32/19.60 (define @t18 () (tptp.cons @t1 tptp.nil)) % 19.32/19.60 (define @t19 () (tptp.app @t1 @t12)) % 19.32/19.60 (define @t20 () (tptp.frontsegP @t2 @t1)) % 19.32/19.60 (define @t21 () (tptp.ssList @t1)) % 19.32/19.60 (define @t22 () (tptp.app @t12 @t1)) % 19.32/19.60 (define @t23 () (tptp.rearsegP @t2 @t1)) % 19.32/19.60 (define @t24 () (tptp.segmentP @t2 @t1)) % 19.32/19.60 (define @t25 () (tptp.leq @t12 @t1)) % 19.32/19.60 (define @t26 () (tptp.leq @t1 @t12)) % 19.32/19.60 (define @t27 () (@var "Z" $$unsorted)) % 19.32/19.60 (define @t28 () (@var "Y" $$unsorted)) % 19.32/19.60 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 19.32/19.60 (define @t30 () (tptp.ssList @t27)) % 19.32/19.60 (define @t31 () (@list @t27)) % 19.32/19.60 (define @t32 () (tptp.ssList @t28)) % 19.32/19.60 (define @t33 () (@list @t28)) % 19.32/19.60 (define @t34 () (tptp.ssItem @t12)) % 19.32/19.60 (define @t35 () (tptp.lt @t1 @t12)) % 19.32/19.60 (define @t36 () (= @t1 @t12)) % 19.32/19.60 (define @t37 () (forall @t7 (=> @t21 @t5))) % 19.32/19.60 (define @t38 () (=> @t17 @t37)) % 19.32/19.60 (define @t39 () (forall @t9 @t38)) % 19.32/19.60 (define @t40 () (tptp.cons @t1 @t2)) % 19.32/19.60 (define @t41 () (tptp.ssList @t40)) % 19.32/19.60 (define @t42 () (forall @t7 (=> @t6 @t41))) % 19.32/19.60 (define @t43 () (=> @t17 @t42)) % 19.32/19.60 (define @t44 () (forall @t9 @t43)) % 19.32/19.60 (define @t45 () (tptp.ssList tptp.nil)) % 19.32/19.60 (define @t46 () (= @t1 @t2)) % 19.32/19.60 (define @t47 () (tptp.cons @t12 @t1)) % 19.32/19.60 (define @t48 () (= tptp.nil @t2)) % 19.32/19.60 (define @t49 () (tptp.hd @t2)) % 19.32/19.60 (define @t50 () (not @t48)) % 19.32/19.60 (define @t51 () (tptp.tl @t2)) % 19.32/19.60 (define @t52 () (tptp.app @t2 @t1)) % 19.32/19.60 (define @t53 () (tptp.app @t1 @t2)) % 19.32/19.60 (define @t54 () (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))) % 19.32/19.60 (define @t55 () (forall @t16 (=> @t34 @t54))) % 19.32/19.60 (define @t56 () (=> @t21 @t55)) % 19.32/19.60 (define @t57 () (forall @t7 @t56)) % 19.32/19.60 (define @t58 () (=> @t17 @t57)) % 19.32/19.60 (define @t59 () (forall @t9 @t58)) % 19.32/19.60 (define @t60 () (tptp.app tptp.nil @t2)) % 19.32/19.60 (define @t61 () (=> @t17 (= @t60 @t2))) % 19.32/19.60 (define @t62 () (forall @t9 @t61)) % 19.32/19.60 (define @t63 () (tptp.leq @t1 @t2)) % 19.32/19.60 (define @t64 () (tptp.leq @t2 @t1)) % 19.32/19.60 (define @t65 () (tptp.geq @t2 @t1)) % 19.32/19.60 (define @t66 () (tptp.lt @t1 @t2)) % 19.32/19.60 (define @t67 () (tptp.lt @t2 @t1)) % 19.32/19.60 (define @t68 () (tptp.lt @t2 @t12)) % 19.32/19.60 (define @t69 () (tptp.gt @t2 @t1)) % 19.32/19.60 (define @t70 () (tptp.memberP @t12 @t2)) % 19.32/19.60 (define @t71 () (tptp.app @t12 @t2)) % 19.32/19.60 (define @t72 () (tptp.segmentP @t2 @t2)) % 19.32/19.60 (define @t73 () (forall @t9 (=> @t17 @t72))) % 19.32/19.60 (define @t74 () (tptp.segmentP (tptp.app @t71 @t10) @t1)) % 19.32/19.60 (define @t75 () (=> @t24 @t74)) % 19.32/19.60 (define @t76 () (forall @t14 (=> @t13 @t75))) % 19.32/19.60 (define @t77 () (=> @t15 @t76)) % 19.32/19.60 (define @t78 () (forall @t16 @t77)) % 19.32/19.60 (define @t79 () (=> @t21 @t78)) % 19.32/19.60 (define @t80 () (forall @t7 @t79)) % 19.32/19.60 (define @t81 () (=> @t17 @t80)) % 19.32/19.60 (define @t82 () (forall @t9 @t81)) % 19.32/19.60 (define @t83 () (tptp.cons @t2 tptp.nil)) % 19.32/19.60 (define @t84 () (tptp.hd @t1)) % 19.32/19.60 (define @t85 () (= tptp.nil @t1)) % 19.32/19.60 (define @t86 () (not @t85)) % 19.32/19.60 (define @t87 () (tptp.cons @t2 @t1)) % 19.32/19.60 (define @t88 () (= @t12 @t2)) % 19.32/19.60 (define @t89 () (tptp.app @t2 tptp.nil)) % 19.32/19.60 (define @t90 () (=> @t17 (= @t89 @t2))) % 19.32/19.60 (define @t91 () (forall @t9 @t90)) % 19.32/19.60 (define @t92 () (@var "X1" $$unsorted)) % 19.32/19.60 (define @t93 () (tptp.segmentP @t2 @t92)) % 19.32/19.60 (define @t94 () (tptp.segmentP @t1 @t92)) % 19.32/19.60 (define @t95 () (tptp.neq @t92 tptp.nil)) % 19.32/19.60 (define @t96 () (tptp.ssList @t92)) % 19.32/19.60 (define @t97 () (and @t96 @t95 @t94 @t93)) % 19.32/19.60 (define @t98 () (@list @t92)) % 19.32/19.60 (define @t99 () (exists @t98 @t97)) % 19.32/19.60 (define @t100 () (tptp.neq @t1 tptp.nil)) % 19.32/19.60 (define @t101 () (not @t100)) % 19.32/19.60 (define @t102 () (or @t101 @t99)) % 19.32/19.60 (define @t103 () (or @t86 @t48)) % 19.32/19.60 (define @t104 () (and @t103 @t102)) % 19.32/19.60 (define @t105 () (tptp.neq @t10 tptp.nil)) % 19.32/19.60 (define @t106 () (tptp.cons @t28 tptp.nil)) % 19.32/19.60 (define @t107 () (tptp.app @t27 @t106)) % 19.32/19.60 (define @t108 () (not (= @t107 @t12))) % 19.32/19.60 (define @t109 () (tptp.app @t106 @t27)) % 19.32/19.60 (define @t110 () (not (= @t109 @t10))) % 19.32/19.60 (define @t111 () (not @t30)) % 19.32/19.60 (define @t112 () (or @t111 @t110 @t108)) % 19.32/19.60 (define @t113 () (forall @t31 @t112)) % 19.32/19.60 (define @t114 () (tptp.ssItem @t28)) % 19.32/19.60 (define @t115 () (=> @t114 @t113)) % 19.32/19.60 (define @t116 () (forall @t33 @t115)) % 19.32/19.60 (define @t117 () (and @t116 @t105)) % 19.32/19.60 (define @t118 () (not (= tptp.nil @t12))) % 19.32/19.60 (define @t119 () (and @t118 (= tptp.nil @t10))) % 19.32/19.60 (define @t120 () (not (= @t2 @t12))) % 19.32/19.60 (define @t121 () (not (= @t1 @t10))) % 19.32/19.60 (define @t122 () (not @t13)) % 19.32/19.60 (define @t123 () (or @t122 @t121 @t120 @t119 @t117 @t104)) % 19.32/19.60 (define @t124 () (forall @t14 @t123)) % 19.32/19.60 (define @t125 () (=> @t15 @t124)) % 19.32/19.60 (define @t126 () (forall @t16 @t125)) % 19.32/19.60 (define @t127 () (=> @t21 @t126)) % 19.32/19.60 (define @t128 () (forall @t7 @t127)) % 19.32/19.60 (define @t129 () (=> @t17 @t128)) % 19.32/19.60 (define @t130 () (forall @t9 @t129)) % 19.32/19.60 (define @t131 () (not @t130)) % 19.32/19.60 (define @t132 () (@var "BOUND_VARIABLE_11148" $$unsorted)) % 19.32/19.60 (define @t133 () (tptp.neq @t132 tptp.nil)) % 19.32/19.60 (define @t134 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 19.32/19.60 (define @t135 () (tptp.cons @t134 tptp.nil)) % 19.32/19.60 (define @t136 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 19.32/19.60 (define @t137 () (and (or (not (tptp.ssItem @t134)) (not (tptp.ssList @t136)) (not (= @t132 (tptp.app @t135 @t136))) (not (= @t2 (tptp.app @t136 @t135)))) @t133)) % 19.32/19.60 (define @t138 () (= @t2 tptp.nil)) % 19.32/19.60 (define @t139 () (not @t138)) % 19.32/19.60 (define @t140 () (= @t132 tptp.nil)) % 19.32/19.60 (define @t141 () (and @t139 @t140)) % 19.32/19.60 (define @t142 () (not @t93)) % 19.32/19.60 (define @t143 () (not @t95)) % 19.32/19.60 (define @t144 () (not @t96)) % 19.32/19.60 (define @t145 () (or (not @t133) (not (forall @t98 (or @t144 @t143 (not (tptp.segmentP @t132 @t92)) @t142))))) % 19.32/19.60 (define @t146 () (not @t140)) % 19.32/19.60 (define @t147 () (or @t146 @t138)) % 19.32/19.60 (define @t148 () (and @t147 @t145)) % 19.32/19.60 (define @t149 () (not (tptp.ssList @t132))) % 19.32/19.60 (define @t150 () (not @t17)) % 19.32/19.60 (define @t151 () (or @t150 @t149 @t148 @t141 @t137)) % 19.32/19.60 (define @t152 () (or @t149 @t148 @t141 @t137)) % 19.32/19.60 (define @t153 () (or @t150 @t152)) % 19.32/19.60 (define @t154 () (@list @t2 @t132 @t134 @t136)) % 19.32/19.60 (define @t155 () (forall @t154 @t153)) % 19.32/19.60 (define @t156 () (@list @t132 @t134 @t136)) % 19.32/19.60 (define @t157 () (forall @t156 @t153)) % 19.32/19.60 (define @t158 () (forall @t156 @t152)) % 19.32/19.60 (define @t159 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 19.32/19.60 (define @t160 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 19.32/19.60 (define @t161 () (or @t150 @t158)) % 19.32/19.60 (define @t162 () (tptp.cons @t160 tptp.nil)) % 19.32/19.60 (define @t163 () (or (not (tptp.ssItem @t160)) (not (tptp.ssList @t159)) (not (= @t1 (tptp.app @t162 @t159))) (not (= @t2 (tptp.app @t159 @t162))))) % 19.32/19.60 (define @t164 () (and @t163 @t100)) % 19.32/19.60 (define @t165 () (= @t1 tptp.nil)) % 19.32/19.60 (define @t166 () (and @t139 @t165)) % 19.32/19.60 (define @t167 () (not @t94)) % 19.32/19.60 (define @t168 () (or @t144 @t143 @t167 @t142)) % 19.32/19.60 (define @t169 () (and (or (not @t165) @t138) (or @t101 (not (forall @t98 @t168))))) % 19.32/19.60 (define @t170 () (not @t21)) % 19.32/19.60 (define @t171 () (or @t170 @t169 @t166 @t164)) % 19.32/19.60 (define @t172 () (forall (@list @t1 @t160 @t159) @t171)) % 19.32/19.60 (define @t173 () (or @t150 @t172)) % 19.32/19.60 (define @t174 () (@list @t160 @t159)) % 19.32/19.60 (define @t175 () (forall @t174 @t171)) % 19.32/19.60 (define @t176 () (forall @t174 @t100)) % 19.32/19.60 (define @t177 () (forall @t174 @t163)) % 19.32/19.60 (define @t178 () (@var "BOUND_VARIABLE_11093" $$unsorted)) % 19.32/19.60 (define @t179 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 19.32/19.60 (define @t180 () (@list @t179 @t178)) % 19.32/19.60 (define @t181 () (and @t177 @t176)) % 19.32/19.60 (define @t182 () (forall @t174 @t164)) % 19.32/19.60 (define @t183 () (or @t170 @t169 @t166 @t182)) % 19.32/19.60 (define @t184 () (tptp.cons @t179 tptp.nil)) % 19.32/19.60 (define @t185 () (and (forall (@list @t179 @t178) (or (not (tptp.ssItem @t179)) (not (tptp.ssList @t178)) (not (= @t1 (tptp.app @t184 @t178))) (not (= @t2 (tptp.app @t178 @t184))))) @t100)) % 19.32/19.60 (define @t186 () (or @t170 @t169 @t166 @t185)) % 19.32/19.60 (define @t187 () (forall @t7 @t186)) % 19.32/19.60 (define @t188 () (or @t150 @t187)) % 19.32/19.60 (define @t189 () (or @t150 @t186)) % 19.32/19.60 (define @t190 () (or @t170 @t169 @t150 @t166 @t185)) % 19.32/19.60 (define @t191 () (or @t169 @t170 @t150 @t166 @t185)) % 19.32/19.60 (define @t192 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 19.32/19.60 (define @t193 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 19.32/19.60 (define @t194 () (@list @t193 @t192)) % 19.32/19.60 (define @t195 () (forall @t194 @t100)) % 19.32/19.60 (define @t196 () (tptp.cons @t193 tptp.nil)) % 19.32/19.60 (define @t197 () (tptp.app @t192 @t196)) % 19.32/19.60 (define @t198 () (not (= @t1 (tptp.app @t196 @t192)))) % 19.32/19.60 (define @t199 () (not (tptp.ssList @t192))) % 19.32/19.60 (define @t200 () (not (tptp.ssItem @t193))) % 19.32/19.60 (define @t201 () (or @t200 @t199 @t198 (not (= @t2 @t197)))) % 19.32/19.60 (define @t202 () (forall @t194 @t201)) % 19.32/19.60 (define @t203 () (@list @t193 @t192)) % 19.32/19.60 (define @t204 () (and @t202 @t195)) % 19.32/19.60 (define @t205 () (and @t201 @t100)) % 19.32/19.60 (define @t206 () (forall @t194 @t205)) % 19.32/19.60 (define @t207 () (or @t150 @t166 @t206)) % 19.32/19.60 (define @t208 () (or @t150 @t166 @t205)) % 19.32/19.60 (define @t209 () (not (= @t2 @t2))) % 19.32/19.60 (define @t210 () (or @t150 @t209 @t166 @t205)) % 19.32/19.60 (define @t211 () (or @t200 @t199 @t198 (not (= @t12 @t197)))) % 19.32/19.60 (define @t212 () (and @t211 @t100)) % 19.32/19.60 (define @t213 () (not (= @t12 tptp.nil))) % 19.32/19.60 (define @t214 () (and @t213 @t165)) % 19.32/19.60 (define @t215 () (not @t15)) % 19.32/19.60 (define @t216 () (or @t120 @t215 @t120 @t214 @t212)) % 19.32/19.60 (define @t217 () (or @t215 @t120 @t214 @t212)) % 19.32/19.60 (define @t218 () (forall @t16 @t217)) % 19.32/19.60 (define @t219 () (forall @t194 @t218)) % 19.32/19.60 (define @t220 () (forall (@list @t193 @t192 @t12) @t217)) % 19.32/19.60 (define @t221 () (forall (@list @t12 @t193 @t192) @t217)) % 19.32/19.60 (define @t222 () (forall @t194 @t217)) % 19.32/19.60 (define @t223 () (forall @t194 @t211)) % 19.32/19.60 (define @t224 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 19.32/19.60 (define @t225 () (@var "BOUND_VARIABLE_11023" $$unsorted)) % 19.32/19.60 (define @t226 () (@list @t225 @t224)) % 19.32/19.60 (define @t227 () (and @t223 @t195)) % 19.32/19.60 (define @t228 () (forall @t194 @t212)) % 19.32/19.60 (define @t229 () (or @t215 @t120 @t214 @t228)) % 19.32/19.60 (define @t230 () (tptp.cons @t225 tptp.nil)) % 19.32/19.60 (define @t231 () (and (forall (@list @t225 @t224) (or (not (tptp.ssItem @t225)) (not (tptp.ssList @t224)) (not (= @t1 (tptp.app @t230 @t224))) (not (= @t12 (tptp.app @t224 @t230))))) @t100)) % 15.66/19.60 (define @t232 () (or @t215 @t120 @t214 @t231)) % 15.66/19.60 (define @t233 () (forall @t16 @t232)) % 15.66/19.60 (define @t234 () (or @t169 @t170 @t233)) % 15.66/19.60 (define @t235 () (or @t169 @t170 @t232)) % 15.66/19.60 (define @t236 () (or @t215 @t120 @t169 @t170 @t214 @t231)) % 15.66/19.60 (define @t237 () (or @t120 @t169 @t170 @t214 @t231)) % 15.66/19.60 (define @t238 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 15.66/19.60 (define @t239 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 15.66/19.60 (define @t240 () (@list @t239 @t238)) % 15.66/19.60 (define @t241 () (forall @t240 @t100)) % 15.66/19.60 (define @t242 () (tptp.cons @t239 tptp.nil)) % 15.66/19.60 (define @t243 () (not (= @t12 (tptp.app @t238 @t242)))) % 15.66/19.60 (define @t244 () (tptp.app @t242 @t238)) % 15.66/19.60 (define @t245 () (not (tptp.ssList @t238))) % 15.66/19.60 (define @t246 () (not (tptp.ssItem @t239))) % 15.66/19.60 (define @t247 () (or @t246 @t245 (not (= @t1 @t244)) @t243)) % 15.66/19.60 (define @t248 () (forall @t240 @t247)) % 15.66/19.60 (define @t249 () (@list @t239 @t238)) % 15.66/19.60 (define @t250 () (and @t248 @t241)) % 15.66/19.60 (define @t251 () (and @t247 @t100)) % 15.66/19.60 (define @t252 () (forall @t240 @t251)) % 15.66/19.60 (define @t253 () (or @t170 @t214 @t252)) % 15.66/19.60 (define @t254 () (or @t170 @t214 @t251)) % 15.66/19.60 (define @t255 () (not (= @t1 @t1))) % 15.66/19.60 (define @t256 () (or @t170 @t255 @t214 @t251)) % 15.66/19.60 (define @t257 () (or @t246 @t245 (not (= @t10 @t244)) @t243)) % 15.66/19.60 (define @t258 () (and @t257 @t105)) % 15.66/19.60 (define @t259 () (and @t213 (= @t10 tptp.nil))) % 15.66/19.60 (define @t260 () (or @t121 @t122 @t121 @t259 @t258)) % 15.66/19.60 (define @t261 () (or @t122 @t121 @t259 @t258)) % 15.66/19.60 (define @t262 () (forall @t14 @t261)) % 15.66/19.60 (define @t263 () (forall @t240 @t262)) % 15.66/19.60 (define @t264 () (forall (@list @t239 @t238 @t10) @t261)) % 15.66/19.60 (define @t265 () (forall (@list @t10 @t239 @t238) @t261)) % 15.66/19.60 (define @t266 () (forall @t240 @t261)) % 15.66/19.60 (define @t267 () (forall @t240 @t105)) % 15.66/19.60 (define @t268 () (forall @t240 @t257)) % 15.66/19.60 (define @t269 () (@var "BOUND_VARIABLE_10955" $$unsorted)) % 15.66/19.60 (define @t270 () (and @t268 @t267)) % 15.66/19.60 (define @t271 () (forall @t240 @t258)) % 15.66/19.60 (define @t272 () (or @t122 @t121 @t259 @t271)) % 15.66/19.60 (define @t273 () (not (= @t12 (tptp.app @t269 @t106)))) % 15.66/19.60 (define @t274 () (not (= @t10 (tptp.app @t106 @t269)))) % 15.66/19.60 (define @t275 () (not (tptp.ssList @t269))) % 15.66/19.60 (define @t276 () (not @t114)) % 15.66/19.60 (define @t277 () (or @t276 @t275 @t274 @t273)) % 15.66/19.60 (define @t278 () (@list @t28 @t269)) % 15.66/19.60 (define @t279 () (and (forall @t278 @t277) @t105)) % 15.66/19.60 (define @t280 () (or @t122 @t121 @t259 @t279)) % 15.66/19.60 (define @t281 () (forall @t14 @t280)) % 15.66/19.60 (define @t282 () (or @t120 @t169 @t281)) % 15.66/19.60 (define @t283 () (or @t120 @t169 @t280)) % 15.66/19.60 (define @t284 () (or @t122 @t121 @t120 @t259 @t279 @t169)) % 15.66/19.60 (define @t285 () (forall @t98 (not @t97))) % 15.66/19.60 (define @t286 () (not @t285)) % 15.66/19.60 (define @t287 () (or @t275 @t274 @t273)) % 15.66/19.60 (define @t288 () (or @t276 @t287)) % 15.66/19.60 (define @t289 () (forall @t278 @t288)) % 15.66/19.60 (define @t290 () (@list @t269)) % 15.66/19.60 (define @t291 () (forall @t290 @t288)) % 15.66/19.60 (define @t292 () (forall @t290 @t287)) % 15.66/19.60 (define @t293 () (or @t276 @t292)) % 15.66/19.60 (define @t294 () (forall @t31 (or @t111 (not (= @t10 @t109)) (not (= @t12 @t107))))) % 15.66/19.60 (define @t295 () (= tptp.nil @t132)) % 15.66/19.60 (define @t296 () (forall @t154 (or @t150 @t149 (and (or (not @t295) @t138) @t145) (and @t139 @t295) @t137))) % 15.66/19.60 (define @t297 () (@quantifiers_skolemize @t296 1)) % 15.66/19.60 (define @t298 () (tptp.neq @t297 tptp.nil)) % 15.66/19.60 (define @t299 () (@quantifiers_skolemize @t296 2)) % 15.66/19.60 (define @t300 () (tptp.cons @t299 tptp.nil)) % 15.66/19.60 (define @t301 () (@quantifiers_skolemize @t296 3)) % 15.66/19.60 (define @t302 () (tptp.app @t301 @t300)) % 15.66/19.60 (define @t303 () (@quantifiers_skolemize @t296 0)) % 15.66/19.60 (define @t304 () (= @t303 @t302)) % 15.66/19.60 (define @t305 () (not @t304)) % 15.66/19.60 (define @t306 () (tptp.app @t300 @t301)) % 15.66/19.60 (define @t307 () (= @t297 @t306)) % 15.66/19.60 (define @t308 () (not @t307)) % 15.66/19.60 (define @t309 () (tptp.ssList @t301)) % 15.66/19.60 (define @t310 () (not @t309)) % 15.66/19.60 (define @t311 () (tptp.ssItem @t299)) % 15.66/19.60 (define @t312 () (not @t311)) % 15.66/19.60 (define @t313 () (or @t312 @t310 @t308 @t305)) % 15.66/19.60 (define @t314 () (and @t313 @t298)) % 15.66/19.60 (define @t315 () (= tptp.nil @t297)) % 15.66/19.60 (define @t316 () (= tptp.nil @t303)) % 15.66/19.60 (define @t317 () (not @t316)) % 15.66/19.60 (define @t318 () (and @t317 @t315)) % 15.66/19.60 (define @t319 () (forall @t98 (or @t144 @t143 (not (tptp.segmentP @t297 @t92)) (not (tptp.segmentP @t303 @t92))))) % 15.66/19.60 (define @t320 () (not @t319)) % 15.66/19.60 (define @t321 () (not @t298)) % 15.66/19.60 (define @t322 () (or @t321 @t320)) % 15.66/19.60 (define @t323 () (not @t315)) % 15.66/19.60 (define @t324 () (or @t323 @t316)) % 15.66/19.60 (define @t325 () (and @t324 @t322)) % 15.66/19.60 (define @t326 () (tptp.ssList @t297)) % 15.66/19.60 (define @t327 () (not @t326)) % 15.66/19.60 (define @t328 () (tptp.ssList @t303)) % 15.66/19.60 (define @t329 () (not @t328)) % 15.66/19.60 (define @t330 () (or @t329 @t327 @t325 @t318 @t314)) % 15.66/19.60 (define @t331 () (not @t330)) % 15.66/19.60 (define @t332 () (not @t296)) % 15.66/19.60 (define @t333 () (= @t303 tptp.nil)) % 15.66/19.60 (define @t334 () (not @t333)) % 15.66/19.60 (define @t335 () (and @t334 @t315)) % 15.66/19.60 (define @t336 () (or @t323 @t333)) % 15.66/19.60 (define @t337 () (and @t336 @t322)) % 15.66/19.60 (define @t338 () (or @t329 @t327 @t337 @t335 @t314)) % 15.66/19.60 (define @t339 () (not @t338)) % 15.66/19.60 (define @t340 () (@list true)) % 15.66/19.60 (define @t341 () (@list @t330)) % 15.66/19.60 (define @t342 () (not @t317)) % 15.66/19.60 (define @t343 () (@var "BOUND_VARIABLE_9117" $$unsorted)) % 15.66/19.60 (define @t344 () (= (tptp.neq @t2 @t343) (not (= @t2 @t343)))) % 15.66/19.60 (define @t345 () (not (tptp.ssList @t343))) % 15.66/19.60 (define @t346 () (or @t150 @t345 @t344)) % 15.66/19.60 (define @t347 () (or @t345 @t344)) % 15.66/19.60 (define @t348 () (or @t150 @t347)) % 15.66/19.60 (define @t349 () (@list @t2 @t343)) % 15.66/19.60 (define @t350 () (forall @t349 @t348)) % 15.66/19.60 (define @t351 () (@list @t343)) % 15.66/19.60 (define @t352 () (forall @t351 @t348)) % 15.66/19.60 (define @t353 () (forall @t351 @t347)) % 15.66/19.60 (define @t354 () (@list @t1)) % 15.66/19.60 (define @t355 () (or @t150 @t353)) % 15.66/19.60 (define @t356 () (forall @t7 (or @t170 @t5))) % 15.66/19.60 (define @t357 () (tptp.neq tptp.nil tptp.nil)) % 15.66/19.60 (define @t358 () (not (= tptp.nil tptp.nil))) % 15.66/19.60 (define @t359 () (= @t357 @t358)) % 15.66/19.60 (define @t360 () (not @t45)) % 15.66/19.60 (define @t361 () (or @t360 @t360 @t359)) % 15.66/19.60 (define @t362 () (forall @t349 @t346)) % 15.66/19.60 (define @t363 () (not @t357)) % 15.66/19.60 (define @t364 () (or @t360 @t360 @t363)) % 15.66/19.60 (define @t365 () (@list false)) % 15.66/19.60 (define @t366 () (@list @t362)) % 15.66/19.60 (define @t367 () (@list false false)) % 15.66/19.60 (define @t368 () (and @t315 @t363)) % 15.66/19.60 (define @t369 () (= @t2 @t60)) % 15.66/19.60 (define @t370 () (tptp.app tptp.nil tptp.nil)) % 15.66/19.60 (define @t371 () (= tptp.nil @t370)) % 15.66/19.60 (define @t372 () (or @t360 @t371)) % 15.66/19.60 (define @t373 () (= @t2 @t89)) % 15.66/19.60 (define @t374 () (@list @t303)) % 15.66/19.60 (define @t375 () (tptp.app @t303 tptp.nil)) % 15.66/19.60 (define @t376 () (= @t303 @t375)) % 15.66/19.60 (define @t377 () (or @t329 @t376)) % 15.66/19.60 (define @t378 () (@list @t297)) % 15.66/19.60 (define @t379 () (tptp.app @t297 tptp.nil)) % 15.66/19.60 (define @t380 () (= @t297 @t379)) % 15.66/19.60 (define @t381 () (or @t327 @t380)) % 15.66/19.60 (define @t382 () (@var "BOUND_VARIABLE_9138" $$unsorted)) % 15.66/19.60 (define @t383 () (tptp.ssList (tptp.cons @t382 @t2))) % 15.66/19.60 (define @t384 () (not (tptp.ssItem @t382))) % 15.66/19.60 (define @t385 () (or @t384 @t383)) % 15.66/19.60 (define @t386 () (or @t150 @t385)) % 15.66/19.60 (define @t387 () (forall (@list @t2 @t382) @t386)) % 15.66/19.60 (define @t388 () (@list @t382)) % 15.66/19.60 (define @t389 () (forall @t388 @t386)) % 15.66/19.60 (define @t390 () (forall @t388 @t385)) % 15.66/19.60 (define @t391 () (or @t150 @t390)) % 15.66/19.60 (define @t392 () (forall @t7 (or (not @t6) @t41))) % 15.66/19.60 (define @t393 () (not @t323)) % 15.66/19.60 (define @t394 () (@list true false)) % 15.66/19.60 (define @t395 () (@list @t322)) % 15.66/19.60 (define @t396 () (not @t313)) % 15.66/19.60 (define @t397 () (@list @t313)) % 15.66/19.60 (define @t398 () (tptp.ssList @t300)) % 15.66/19.60 (define @t399 () (or @t360 @t312 @t398)) % 15.66/19.60 (define @t400 () (@list false false false)) % 15.66/19.60 (define @t401 () (= @t300 (tptp.app tptp.nil @t300))) % 15.66/19.60 (define @t402 () (not @t398)) % 15.66/19.60 (define @t403 () (or @t402 @t401)) % 15.66/19.60 (define @t404 () (@var "BOUND_VARIABLE_9419" $$unsorted)) % 15.66/19.60 (define @t405 () (@var "BOUND_VARIABLE_9421" $$unsorted)) % 15.66/19.60 (define @t406 () (= (tptp.cons @t405 (tptp.app @t404 @t2)) (tptp.app (tptp.cons @t405 @t404) @t2))) % 15.66/19.60 (define @t407 () (not (tptp.ssItem @t405))) % 15.66/19.60 (define @t408 () (not (tptp.ssList @t404))) % 15.66/19.60 (define @t409 () (or @t408 @t407 @t406)) % 15.66/19.60 (define @t410 () (or @t150 @t409)) % 15.66/19.60 (define @t411 () (forall (@list @t2 @t404 @t405) @t410)) % 15.66/19.60 (define @t412 () (@list @t404 @t405)) % 15.66/19.60 (define @t413 () (forall @t412 @t410)) % 15.66/19.60 (define @t414 () (forall @t412 @t409)) % 15.66/19.60 (define @t415 () (@var "BOUND_VARIABLE_9401" $$unsorted)) % 15.66/19.60 (define @t416 () (or @t150 @t414)) % 15.66/19.60 (define @t417 () (= (tptp.cons @t415 @t53) (tptp.app (tptp.cons @t415 @t1) @t2))) % 15.66/19.60 (define @t418 () (not (tptp.ssItem @t415))) % 15.66/19.60 (define @t419 () (or @t170 @t418 @t417)) % 15.66/19.60 (define @t420 () (@list @t1 @t415)) % 15.66/19.60 (define @t421 () (forall @t420 @t419)) % 15.66/19.60 (define @t422 () (or @t418 @t417)) % 15.66/19.60 (define @t423 () (or @t170 @t422)) % 15.66/19.60 (define @t424 () (forall @t420 @t423)) % 15.66/19.60 (define @t425 () (@list @t415)) % 15.66/19.60 (define @t426 () (forall @t425 @t423)) % 15.66/19.60 (define @t427 () (forall @t425 @t422)) % 15.66/19.60 (define @t428 () (or @t170 @t427)) % 15.66/19.60 (define @t429 () (forall @t16 (or (not @t34) @t54))) % 15.66/19.60 (define @t430 () (tptp.app @t300 tptp.nil)) % 15.66/19.60 (define @t431 () (= (tptp.cons @t299 @t370) @t430)) % 15.66/19.60 (define @t432 () (or @t360 @t360 @t312 @t431)) % 15.66/19.60 (define @t433 () (not (= @t301 tptp.nil))) % 15.66/19.60 (define @t434 () (tptp.neq @t301 tptp.nil)) % 15.66/19.60 (define @t435 () (= @t434 @t433)) % 15.66/19.60 (define @t436 () (or @t310 @t360 @t435)) % 15.66/19.60 (define @t437 () (= tptp.nil @t301)) % 15.66/19.60 (define @t438 () (not @t437)) % 15.66/19.60 (define @t439 () (= @t434 @t438)) % 15.66/19.60 (define @t440 () (or @t310 @t360 @t439)) % 15.66/19.60 (define @t441 () (@list @t301)) % 15.66/19.60 (define @t442 () (tptp.segmentP @t303 @t301)) % 15.66/19.60 (define @t443 () (not @t442)) % 15.66/19.60 (define @t444 () (tptp.segmentP @t297 @t301)) % 15.66/19.60 (define @t445 () (not @t444)) % 15.66/19.60 (define @t446 () (not @t434)) % 15.66/19.60 (define @t447 () (or @t310 @t446 @t445 @t443)) % 15.66/19.60 (define @t448 () (@list @t319)) % 15.66/19.60 (define @t449 () (@var "BOUND_VARIABLE_10216" $$unsorted)) % 15.66/19.60 (define @t450 () (@var "BOUND_VARIABLE_10220" $$unsorted)) % 15.66/19.60 (define @t451 () (@var "BOUND_VARIABLE_10218" $$unsorted)) % 15.66/19.60 (define @t452 () (tptp.segmentP (tptp.app (tptp.app @t451 @t2) @t450) @t449)) % 15.66/19.60 (define @t453 () (not (tptp.ssList @t450))) % 15.66/19.60 (define @t454 () (not (tptp.ssList @t451))) % 15.66/19.60 (define @t455 () (not (tptp.segmentP @t2 @t449))) % 15.66/19.60 (define @t456 () (not (tptp.ssList @t449))) % 15.66/19.60 (define @t457 () (or @t456 @t455 @t454 @t453 @t452)) % 15.66/19.60 (define @t458 () (or @t150 @t457)) % 15.66/19.60 (define @t459 () (forall (@list @t2 @t449 @t451 @t450) @t458)) % 15.66/19.60 (define @t460 () (@list @t449 @t451 @t450)) % 15.66/19.60 (define @t461 () (forall @t460 @t458)) % 15.66/19.60 (define @t462 () (forall @t460 @t457)) % 15.66/19.60 (define @t463 () (@var "BOUND_VARIABLE_10197" $$unsorted)) % 15.66/19.60 (define @t464 () (@var "BOUND_VARIABLE_10195" $$unsorted)) % 15.66/19.60 (define @t465 () (or @t150 @t462)) % 15.66/19.60 (define @t466 () (tptp.segmentP (tptp.app (tptp.app @t464 @t2) @t463) @t1)) % 15.66/19.60 (define @t467 () (not (tptp.ssList @t463))) % 15.66/19.60 (define @t468 () (not (tptp.ssList @t464))) % 15.66/19.60 (define @t469 () (not @t24)) % 15.66/19.60 (define @t470 () (or @t170 @t469 @t468 @t467 @t466)) % 15.66/19.60 (define @t471 () (@list @t1 @t464 @t463)) % 15.66/19.60 (define @t472 () (forall @t471 @t470)) % 15.66/19.60 (define @t473 () (or @t468 @t467 @t466)) % 15.66/19.60 (define @t474 () (or @t170 @t469 @t473)) % 15.66/19.60 (define @t475 () (forall @t471 @t474)) % 15.66/19.60 (define @t476 () (@list @t464 @t463)) % 15.66/19.60 (define @t477 () (forall @t476 @t474)) % 15.66/19.60 (define @t478 () (forall @t476 @t473)) % 15.66/19.60 (define @t479 () (@var "BOUND_VARIABLE_10178" $$unsorted)) % 15.66/19.60 (define @t480 () (or @t170 @t469 @t478)) % 15.66/19.60 (define @t481 () (tptp.segmentP (tptp.app @t71 @t479) @t1)) % 15.66/19.60 (define @t482 () (not (tptp.ssList @t479))) % 15.66/19.60 (define @t483 () (or @t215 @t482 @t481)) % 15.66/19.60 (define @t484 () (@list @t12 @t479)) % 15.66/19.60 (define @t485 () (forall @t484 @t483)) % 15.66/19.60 (define @t486 () (or @t170 @t469 @t485)) % 15.66/19.60 (define @t487 () (or @t469 @t485)) % 15.66/19.60 (define @t488 () (or @t482 @t481)) % 15.66/19.60 (define @t489 () (or @t215 @t488)) % 15.66/19.60 (define @t490 () (forall @t484 @t489)) % 15.66/19.60 (define @t491 () (@list @t479)) % 15.66/19.60 (define @t492 () (forall @t491 @t489)) % 15.66/19.60 (define @t493 () (forall @t491 @t488)) % 15.66/19.60 (define @t494 () (or @t215 @t493)) % 15.66/19.60 (define @t495 () (or @t122 @t74)) % 15.66/19.60 (define @t496 () (forall @t14 @t495)) % 15.66/19.60 (define @t497 () (or @t215 @t496)) % 15.66/19.60 (define @t498 () (forall @t16 @t497)) % 15.66/19.60 (define @t499 () (or @t469 @t498)) % 15.66/19.60 (define @t500 () (or @t469 @t497)) % 15.66/19.60 (define @t501 () (or @t215 @t469 @t496)) % 15.66/19.60 (define @t502 () (or @t469 @t496)) % 15.66/19.60 (define @t503 () (or @t469 @t495)) % 15.66/19.60 (define @t504 () (or @t122 @t469 @t74)) % 15.66/19.60 (define @t505 () (tptp.segmentP @t301 @t301)) % 15.66/19.60 (define @t506 () (or @t310 @t505)) % 15.66/19.60 (define @t507 () (tptp.app tptp.nil @t301)) % 15.66/19.60 (define @t508 () (tptp.segmentP (tptp.app @t507 @t300) @t301)) % 15.66/19.60 (define @t509 () (not @t505)) % 15.66/19.60 (define @t510 () (or @t310 @t310 @t509 @t360 @t402 @t508)) % 15.66/19.60 (define @t511 () (@list false false false false false)) % 15.66/19.60 (define @t512 () (= @t301 @t507)) % 15.66/19.60 (define @t513 () (or @t310 @t512)) % 15.66/19.60 (define @t514 () (and @t304 @t512 @t508)) % 15.66/19.60 (define @t515 () (tptp.segmentP (tptp.app @t306 tptp.nil) @t301)) % 15.66/19.60 (define @t516 () (or @t310 @t310 @t509 @t402 @t360 @t515)) % 15.66/19.60 (define @t517 () (and @t307 @t380 @t515)) % 15.66/19.60 (define @t518 () (not @t380)) % 15.66/19.60 (define @t519 () (@list false false false false)) % 15.66/19.60 (define @t520 () (not @t439)) % 15.66/19.60 (define @t521 () (= @t375 @t379)) % 15.66/19.60 (define @t522 () (and @t307 @t304 @t371 @t376 @t380 @t437 @t431 @t401)) % 15.66/19.60 (define @t523 () (not @t376)) % 15.66/19.60 (define @t524 () (not @t371)) % 15.66/19.60 (define @t525 () (tptp.neq @t303 tptp.nil)) % 15.66/19.60 (define @t526 () (or @t329 @t360 (= @t525 @t334))) % 15.66/19.60 (define @t527 () (= @t317 @t525)) % 15.66/19.60 (define @t528 () (or @t329 @t360 @t527)) % 15.66/19.60 (define @t529 () (tptp.segmentP @t303 @t303)) % 15.66/19.60 (define @t530 () (not @t529)) % 15.66/19.60 (define @t531 () (tptp.segmentP @t297 @t303)) % 15.66/19.60 (define @t532 () (not @t531)) % 15.66/19.60 (define @t533 () (not @t525)) % 15.66/19.60 (define @t534 () (or @t329 @t533 @t532 @t530)) % 15.66/19.60 (define @t535 () (or @t329 @t529)) % 15.66/19.60 (define @t536 () (tptp.segmentP @t297 @t297)) % 15.66/19.60 (define @t537 () (or @t327 @t536)) % 15.66/19.60 (define @t538 () (not @t521)) % 15.66/19.60 (define @t539 () (not @t536)) % 15.66/19.60 (define @t540 () (and @t532 @t376 @t521 @t380 @t536)) % 15.66/19.60 (define @t541 () (not @t527)) % 15.66/19.60 (define @t542 () (= @t370 @t375)) % 15.66/19.60 (define @t543 () (not @t542)) % 15.66/19.60 (define @t544 () (and @t371 @t543 @t376)) % 15.66/19.60 (define @t545 () (and @t323 @t371 @t376 @t380 @t521)) % 15.66/19.60 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.66/19.60 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.66/19.60 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 15.66/19.60 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.66/19.60 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 15.66/19.60 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 15.66/19.60 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 15.66/19.60 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 15.66/19.60 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 15.66/19.60 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 15.66/19.60 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 15.66/19.60 (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))))))))))))))) % 15.66/19.60 (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)))))))))))))))) % 15.66/19.60 (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))))))))))))) % 15.66/19.60 (assume @p15 @t39) % 15.66/19.60 (assume @p16 @t44) % 15.66/19.60 (assume @p17 @t45) % 15.66/19.60 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 15.66/19.60 (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))))))))))) % 15.66/19.60 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 15.66/19.60 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 15.66/19.60 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 15.66/19.60 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 15.66/19.60 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 15.66/19.60 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 15.66/19.60 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t52)))))) % 15.66/19.60 (assume @p27 @t59) % 15.66/19.60 (assume @p28 @t62) % 15.66/19.60 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t64 @t63) @t3)))))) % 15.66/19.60 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t26) (tptp.leq @t2 @t12))))))))) % 15.66/19.60 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.66/19.60 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t63)))))) % 15.66/19.60 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not @t66))))))) % 15.66/19.60 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t68)))))))) % 15.66/19.60 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 @t66)))))) % 15.66/19.60 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t70))))))))) % 15.66/19.60 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t70))))))))) % 15.66/19.60 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.66/19.60 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.66/19.60 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.66/19.60 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.66/19.60 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 15.66/19.60 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.66/19.60 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 15.66/19.60 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.66/19.60 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 15.66/19.60 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.66/19.60 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.66/19.60 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.66/19.60 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t71 @t1))))))))) % 15.66/19.60 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.66/19.60 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 15.66/19.60 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.66/19.60 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.66/19.60 (assume @p55 @t73) % 15.66/19.60 (assume @p56 @t82) % 15.66/19.60 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.66/19.60 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 15.66/19.60 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t83)))) % 15.66/19.60 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.66/19.60 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t83)))) % 15.66/19.60 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.66/19.60 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t83)))) % 15.66/19.60 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.66/19.60 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t83)))) % 15.66/19.60 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.66/19.60 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t87) (or @t85 (and @t86 (tptp.totalorderedP @t1) (tptp.leq @t2 @t84))))))))) % 15.66/19.60 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t83)))) % 15.66/19.60 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.66/19.60 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t87) (or @t85 (and @t86 (tptp.strictorderedP @t1) (tptp.lt @t2 @t84))))))))) % 15.66/19.60 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t83)))) % 15.66/19.60 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.66/19.60 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t83)))) % 15.66/19.60 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.66/19.60 (assume @p75 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t6 (= @t49 @t1))))))) % 15.66/19.60 (assume @p76 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t21 (= @t51 @t1))))))) % 15.66/19.60 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t86 @t50 (= @t84 @t49) (= (tptp.tl @t1) @t51)) @t46)))))) % 15.66/19.60 (assume @p78 (forall @t9 (=> @t17 (=> @t50 (= (tptp.cons @t49 @t51) @t2))))) % 15.66/19.60 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t52) @t88)))))))) % 15.66/19.60 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t88)))))))) % 15.66/19.60 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 15.66/19.60 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 15.66/19.60 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t52) (and @t85 @t48))))))) % 15.66/19.60 (assume @p84 @t91) % 15.66/19.60 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.hd @t52) @t49))))))) % 15.66/19.60 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.tl @t52) (tptp.app @t51 @t1)))))))) % 15.66/19.60 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 (tptp.geq @t1 @t2)) @t3)))))) % 15.66/19.60 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.66/19.60 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.66/19.60 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.66/19.60 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t35) @t68)))))))) % 15.66/19.60 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (or @t3 @t67))))))) % 15.66/19.60 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 (and @t4 @t64))))))) % 15.66/19.60 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t69 (not (tptp.gt @t1 @t2)))))))) % 15.66/19.60 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t69 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.66/19.60 (assume @p96 @t131) % 15.66/19.60 (assume @p97 true) % 15.66/19.60 (step @p98 :rule refl :args (@t137)) % 15.66/19.60 (step @p99 :rule eq-symm :args (@t132 tptp.nil)) % 15.66/19.60 (step @p100 :rule refl :args (@t139)) % 15.66/19.60 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t141)) % 15.66/19.60 (step @p102 :rule refl :args (@t145)) % 15.66/19.60 (step @p103 :rule refl :args (@t138)) % 15.66/19.60 (step @p104 :rule cong :premises (@p99) :args (@t146)) % 15.66/19.60 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t147)) % 15.66/19.60 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t148)) % 15.66/19.60 (step @p107 :rule refl :args (@t149)) % 15.66/19.60 (step @p108 :rule refl :args (@t150)) % 15.66/19.60 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p101 @p98) :args (@t151)) % 15.66/19.60 (step @p110 :rule aci_norm :args ((= @t153 @t151))) % 15.66/19.60 (step @p111 :rule trans :premises (@p110 @p109)) % 15.66/19.60 (step @p112 :rule cong :premises (@p111) :args (@t155)) % 15.66/19.60 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t155))) % 15.66/19.60 (step @p114 :rule alpha_equiv :args (@t158 (@list @t132 @t134 @t136) (@list @t1 @t160 @t159))) % 15.66/19.60 (step @p115 :rule refl :args (@t150)) % 15.66/19.60 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t161)) % 15.66/19.60 (step @p117 :rule quant-miniscope-or :args ((= @t157 @t161))) % 15.66/19.60 (step @p118 :rule trans :premises (@p117 @p116)) % 15.66/19.60 (step @p119 :rule symm :premises (@p118)) % 15.66/19.60 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t173))) % 15.66/19.60 (step @p121 :rule trans :premises (@p120 @p113)) % 15.66/19.60 (step @p122 :rule trans :premises (@p121 @p112)) % 15.66/19.60 (step @p123 :rule aci_norm :args ((= (or @t150 @t173) @t173))) % 15.66/19.60 (step @p124 :rule bool-impl-elim :args (@t17 @t173)) % 15.66/19.60 (step @p125 :rule trans :premises (@p124 @p123)) % 15.66/19.60 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t173)))) % 15.66/19.60 (step @p127 :rule trans :premises (@p126 @p122)) % 15.66/19.60 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t175) @t172))) % 15.66/19.60 (step @p129 :rule quant-unused-vars :args ((= @t176 @t100))) % 15.66/19.60 (step @p130 :rule alpha_equiv :args (@t177 (@list @t160 @t159) @t180)) % 15.66/19.60 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t181)) % 15.66/19.60 (step @p132 :rule quant-miniscope-and :args ((= @t182 @t181))) % 15.66/19.60 (step @p133 :rule trans :premises (@p132 @p131)) % 15.66/19.60 (step @p134 :rule refl :args (@t166)) % 15.66/19.60 (step @p135 :rule refl :args (@t169)) % 15.66/19.60 (step @p136 :rule refl :args (@t170)) % 15.66/19.60 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t183)) % 15.66/19.60 (step @p138 :rule quant-miniscope-or :args ((= @t175 @t183))) % 15.66/19.60 (step @p139 :rule trans :premises (@p138 @p137)) % 15.66/19.60 (step @p140 :rule symm :premises (@p139)) % 15.66/19.60 (step @p141 :rule cong :premises (@p140) :args (@t187)) % 15.66/19.60 (step @p142 :rule trans :premises (@p141 @p128)) % 15.66/19.60 (step @p143 :rule nary_cong :premises (@p108 @p142) :args (@t188)) % 15.66/19.60 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t189) @t188))) % 15.66/19.60 (step @p145 :rule aci_norm :args ((= @t190 @t189))) % 15.66/19.60 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t190))) % 15.66/19.60 (step @p147 :rule trans :premises (@p146 @p144)) % 15.66/19.60 (step @p148 :rule trans :premises (@p147 @p143)) % 15.66/19.60 (step @p149 :rule aci_norm :args ((= (or @t170 @t191) @t190))) % 15.66/19.60 (step @p150 :rule bool-impl-elim :args (@t21 @t191)) % 15.66/19.60 (step @p151 :rule trans :premises (@p150 @p149)) % 15.66/19.60 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 (=> @t21 @t191)))) % 15.66/19.60 (step @p153 :rule trans :premises (@p152 @p148)) % 15.66/19.60 (step @p154 :rule aci_norm :args ((= (or @t169 @t170 (or @t150 @t166 @t185)) @t191))) % 15.66/19.60 (step @p155 :rule quant-unused-vars :args ((= @t195 @t100))) % 15.66/19.60 (step @p156 :rule alpha_equiv :args (@t202 @t203 @t180)) % 15.66/19.60 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t204)) % 15.66/19.60 (step @p158 :rule quant-miniscope-and :args ((= @t206 @t204))) % 15.66/19.60 (step @p159 :rule trans :premises (@p158 @p157)) % 15.66/19.60 (step @p160 :rule refl :args (@t166)) % 15.66/19.60 (step @p161 :rule nary_cong :premises (@p108 @p160 @p159) :args (@t207)) % 15.66/19.60 (step @p162 :rule quant-miniscope-or :args ((= (forall @t194 @t208) @t207))) % 15.66/19.60 (step @p163 :rule trans :premises (@p162 @p161)) % 15.66/19.60 (step @p164 :rule aci_norm :args ((= (or @t150 false @t166 @t205) @t208))) % 15.66/19.60 (step @p165 :rule refl :args (@t205)) % 15.66/19.60 (step @p166 :rule evaluate :args ((not true))) % 15.66/19.60 (step @p167 :rule eq-refl :args (@t2)) % 15.66/19.60 (step @p168 :rule cong :premises (@p167) :args (@t209)) % 15.66/19.60 (step @p169 :rule trans :premises (@p168 @p166)) % 15.66/19.60 (step @p170 :rule nary_cong :premises (@p108 @p169 @p160 @p165) :args (@t210)) % 15.66/19.60 (step @p171 :rule trans :premises (@p170 @p164)) % 15.66/19.60 (step @p172 :rule cong :premises (@p171) :args ((forall @t194 @t210))) % 15.66/19.60 (step @p173 :rule trans :premises (@p172 @p163)) % 15.66/19.60 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t88) @t215 @t120 @t214 @t212)) @t210))) % 15.66/19.60 (step @p175 :rule refl :args (@t212)) % 15.66/19.60 (step @p176 :rule refl :args (@t214)) % 15.66/19.60 (step @p177 :rule refl :args (@t120)) % 15.66/19.60 (step @p178 :rule refl :args (@t215)) % 15.66/19.60 (step @p179 :rule eq-symm :args (@t2 @t12)) % 15.66/19.60 (step @p180 :rule cong :premises (@p179) :args (@t120)) % 15.66/19.60 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176 @p175) :args (@t216)) % 15.66/19.60 (step @p182 :rule aci_norm :args ((= @t217 @t216))) % 15.66/19.60 (step @p183 :rule trans :premises (@p182 @p181)) % 15.66/19.60 (step @p184 :rule cong :premises (@p183) :args (@t218)) % 15.66/19.60 (step @p185 :rule trans :premises (@p184 @p174)) % 15.66/19.60 (step @p186 :rule cong :premises (@p185) :args (@t219)) % 15.66/19.60 (step @p187 :rule quant-merge-prenex :args ((= @t219 @t220))) % 15.66/19.60 (step @p188 :rule symm :premises (@p187)) % 15.66/19.60 (step @p189 :rule quant_var_reordering :args ((= @t221 @t220))) % 15.66/19.60 (step @p190 :rule trans :premises (@p189 @p188 @p186)) % 15.66/19.60 (step @p191 :rule trans :premises (@p190 @p173)) % 15.66/19.60 (step @p192 :rule quant-merge-prenex :args ((= (forall @t16 @t222) @t221))) % 15.66/19.60 (step @p193 :rule alpha_equiv :args (@t223 @t203 @t226)) % 15.66/19.60 (step @p194 :rule nary_cong :premises (@p193 @p155) :args (@t227)) % 15.66/19.60 (step @p195 :rule quant-miniscope-and :args ((= @t228 @t227))) % 15.66/19.60 (step @p196 :rule trans :premises (@p195 @p194)) % 15.66/19.60 (step @p197 :rule nary_cong :premises (@p178 @p177 @p176 @p196) :args (@t229)) % 15.66/19.60 (step @p198 :rule quant-miniscope-or :args ((= @t222 @t229))) % 15.66/19.60 (step @p199 :rule trans :premises (@p198 @p197)) % 15.66/19.60 (step @p200 :rule symm :premises (@p199)) % 15.66/19.60 (step @p201 :rule cong :premises (@p200) :args (@t233)) % 15.66/19.60 (step @p202 :rule trans :premises (@p201 @p192)) % 15.66/19.60 (step @p203 :rule trans :premises (@p202 @p191)) % 15.66/19.60 (step @p204 :rule refl :args (@t170)) % 15.66/19.60 (step @p205 :rule refl :args (@t169)) % 15.66/19.60 (step @p206 :rule nary_cong :premises (@p205 @p204 @p203) :args (@t234)) % 15.66/19.60 (step @p207 :rule trans :premises (@p206 @p154)) % 15.66/19.60 (step @p208 :rule quant-miniscope-or :args ((= (forall @t16 @t235) @t234))) % 15.66/19.60 (step @p209 :rule aci_norm :args ((= @t236 @t235))) % 15.66/19.60 (step @p210 :rule cong :premises (@p209) :args ((forall @t16 @t236))) % 15.66/19.60 (step @p211 :rule trans :premises (@p210 @p208)) % 15.66/19.60 (step @p212 :rule trans :premises (@p211 @p207)) % 15.66/19.60 (step @p213 :rule aci_norm :args ((= (or @t215 @t237) @t236))) % 15.66/19.60 (step @p214 :rule bool-impl-elim :args (@t15 @t237)) % 15.66/19.60 (step @p215 :rule trans :premises (@p214 @p213)) % 15.66/19.60 (step @p216 :rule cong :premises (@p215) :args ((forall @t16 (=> @t15 @t237)))) % 15.66/19.60 (step @p217 :rule trans :premises (@p216 @p212)) % 15.66/19.60 (step @p218 :rule aci_norm :args ((= (or @t120 @t169 (or @t170 @t214 @t231)) @t237))) % 15.66/19.60 (step @p219 :rule quant-unused-vars :args ((= @t241 @t100))) % 15.66/19.60 (step @p220 :rule alpha_equiv :args (@t248 @t249 @t226)) % 15.66/19.60 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t250)) % 15.66/19.60 (step @p222 :rule quant-miniscope-and :args ((= @t252 @t250))) % 15.66/19.60 (step @p223 :rule trans :premises (@p222 @p221)) % 15.66/19.60 (step @p224 :rule refl :args (@t214)) % 15.66/19.60 (step @p225 :rule nary_cong :premises (@p204 @p224 @p223) :args (@t253)) % 15.66/19.60 (step @p226 :rule quant-miniscope-or :args ((= (forall @t240 @t254) @t253))) % 15.66/19.60 (step @p227 :rule trans :premises (@p226 @p225)) % 15.66/19.60 (step @p228 :rule aci_norm :args ((= (or @t170 false @t214 @t251) @t254))) % 15.66/19.60 (step @p229 :rule refl :args (@t251)) % 15.66/19.60 (step @p230 :rule eq-refl :args (@t1)) % 15.66/19.60 (step @p231 :rule cong :premises (@p230) :args (@t255)) % 15.66/19.60 (step @p232 :rule trans :premises (@p231 @p166)) % 15.66/19.60 (step @p233 :rule nary_cong :premises (@p204 @p232 @p224 @p229) :args (@t256)) % 15.66/19.60 (step @p234 :rule trans :premises (@p233 @p228)) % 15.66/19.60 (step @p235 :rule cong :premises (@p234) :args ((forall @t240 @t256))) % 15.66/19.60 (step @p236 :rule trans :premises (@p235 @p227)) % 15.66/19.60 (step @p237 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t122 @t121 @t259 @t258)) @t256))) % 15.66/19.60 (step @p238 :rule refl :args (@t258)) % 15.66/19.60 (step @p239 :rule refl :args (@t259)) % 15.66/19.60 (step @p240 :rule refl :args (@t121)) % 15.66/19.60 (step @p241 :rule refl :args (@t122)) % 15.66/19.60 (step @p242 :rule eq-symm :args (@t1 @t10)) % 15.66/19.60 (step @p243 :rule cong :premises (@p242) :args (@t121)) % 15.66/19.60 (step @p244 :rule nary_cong :premises (@p243 @p241 @p240 @p239 @p238) :args (@t260)) % 15.66/19.60 (step @p245 :rule aci_norm :args ((= @t261 @t260))) % 15.66/19.60 (step @p246 :rule trans :premises (@p245 @p244)) % 15.66/19.60 (step @p247 :rule cong :premises (@p246) :args (@t262)) % 15.66/19.60 (step @p248 :rule trans :premises (@p247 @p237)) % 15.66/19.60 (step @p249 :rule cong :premises (@p248) :args (@t263)) % 15.66/19.60 (step @p250 :rule quant-merge-prenex :args ((= @t263 @t264))) % 15.66/19.60 (step @p251 :rule symm :premises (@p250)) % 15.66/19.60 (step @p252 :rule quant_var_reordering :args ((= @t265 @t264))) % 15.66/19.60 (step @p253 :rule trans :premises (@p252 @p251 @p249)) % 15.66/19.60 (step @p254 :rule trans :premises (@p253 @p236)) % 15.66/19.60 (step @p255 :rule quant-merge-prenex :args ((= (forall @t14 @t266) @t265))) % 15.66/19.60 (step @p256 :rule quant-unused-vars :args ((= @t267 @t105))) % 15.66/19.60 (step @p257 :rule alpha_equiv :args (@t268 @t249 (@list @t28 @t269))) % 15.66/19.60 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t270)) % 15.66/19.60 (step @p259 :rule quant-miniscope-and :args ((= @t271 @t270))) % 15.66/19.60 (step @p260 :rule trans :premises (@p259 @p258)) % 15.66/19.60 (step @p261 :rule nary_cong :premises (@p241 @p240 @p239 @p260) :args (@t272)) % 15.66/19.60 (step @p262 :rule quant-miniscope-or :args ((= @t266 @t272))) % 15.66/19.60 (step @p263 :rule trans :premises (@p262 @p261)) % 15.66/19.60 (step @p264 :rule symm :premises (@p263)) % 15.66/19.60 (step @p265 :rule cong :premises (@p264) :args (@t281)) % 15.66/19.60 (step @p266 :rule trans :premises (@p265 @p255)) % 15.66/19.60 (step @p267 :rule trans :premises (@p266 @p254)) % 15.66/19.60 (step @p268 :rule refl :args (@t120)) % 15.66/19.60 (step @p269 :rule nary_cong :premises (@p268 @p205 @p267) :args (@t282)) % 15.66/19.60 (step @p270 :rule trans :premises (@p269 @p218)) % 15.66/19.60 (step @p271 :rule quant-miniscope-or :args ((= (forall @t14 @t283) @t282))) % 15.66/19.60 (step @p272 :rule aci_norm :args ((= @t284 @t283))) % 15.66/19.60 (step @p273 :rule cong :premises (@p272) :args ((forall @t14 @t284))) % 15.66/19.60 (step @p274 :rule trans :premises (@p273 @p271)) % 15.66/19.60 (step @p275 :rule trans :premises (@p274 @p270)) % 15.66/19.60 (step @p276 :rule aci_norm :args ((= (or @t144 (or @t143 (or @t167 @t142))) @t168))) % 15.66/19.60 (step @p277 :rule bool-and-de-morgan :args (@t94 @t93 true)) % 15.66/19.60 (step @p278 :rule refl :args (@t143)) % 15.66/19.60 (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or @t143 (not (and @t94 @t93))))) % 15.66/19.60 (step @p280 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93))) % 15.66/19.60 (step @p281 :rule trans :premises (@p280 @p279)) % 15.66/19.60 (step @p282 :rule refl :args (@t144)) % 15.66/19.60 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t144 (not (and @t95 @t94 @t93))))) % 15.66/19.60 (step @p284 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93))) % 15.66/19.60 (step @p285 :rule trans :premises (@p284 @p283)) % 15.66/19.60 (step @p286 :rule trans :premises (@p285 @p276)) % 15.66/19.60 (step @p287 :rule cong :premises (@p286) :args (@t285)) % 15.66/19.60 (step @p288 :rule cong :premises (@p287) :args (@t286)) % 15.66/19.60 (step @p289 :rule exists-elim :args ((= @t99 @t286))) % 15.66/19.60 (step @p290 :rule trans :premises (@p289 @p288)) % 15.66/19.60 (step @p291 :rule refl :args (@t101)) % 15.66/19.60 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t102)) % 15.66/19.60 (step @p293 :rule eq-symm :args (tptp.nil @t2)) % 15.66/19.60 (step @p294 :rule eq-symm :args (tptp.nil @t1)) % 15.66/19.60 (step @p295 :rule cong :premises (@p294) :args (@t86)) % 15.66/19.60 (step @p296 :rule nary_cong :premises (@p295 @p293) :args (@t103)) % 15.66/19.60 (step @p297 :rule nary_cong :premises (@p296 @p292) :args (@t104)) % 15.66/19.60 (step @p298 :rule refl :args (@t105)) % 15.66/19.60 (step @p299 :rule aci_norm :args ((= @t288 @t277))) % 15.66/19.60 (step @p300 :rule cong :premises (@p299) :args (@t289)) % 15.66/19.60 (step @p301 :rule quant-merge-prenex :args ((= (forall @t33 @t291) @t289))) % 15.66/19.60 (step @p302 :rule alpha_equiv :args (@t292 (@list @t269) (@list @t27))) % 15.66/19.60 (step @p303 :rule refl :args (@t276)) % 15.66/19.60 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t293)) % 15.66/19.60 (step @p305 :rule quant-miniscope-or :args ((= @t291 @t293))) % 15.66/19.60 (step @p306 :rule trans :premises (@p305 @p304)) % 15.66/19.60 (step @p307 :rule symm :premises (@p306)) % 15.66/19.60 (step @p308 :rule cong :premises (@p307) :args ((forall @t33 (or @t276 @t294)))) % 15.66/19.60 (step @p309 :rule trans :premises (@p308 @p301)) % 15.66/19.60 (step @p310 :rule trans :premises (@p309 @p300)) % 15.66/19.60 (step @p311 :rule bool-impl-elim :args (@t114 @t294)) % 15.66/19.60 (step @p312 :rule cong :premises (@p311) :args ((forall @t33 (=> @t114 @t294)))) % 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:premises (@p1045)) % 15.66/19.60 (step @p782 :rule process_scope :premises (@p1046) :args (@t444)) % 15.66/19.60 (step @p786 :rule implies_elim :premises (@p782)) % 15.66/19.60 (step @p787 :rule cnf_and_neg :args (@t517)) % 15.66/19.60 (step @p788 :rule resolution :premises (@p787 @p786) :args (true @t517)) % 15.66/19.60 (step @p789 :rule reordering :premises (@p788) :args ((or @t308 @t518 @t444 (not @t515)))) % 15.66/19.60 (step @p790 :rule chain_m_resolution :premises (@p789 @p763 @p499 @p757) :args (@t444 @t400 (@list @t307 @t380 @t515))) % 15.66/19.60 (step @p791 :rule cnf_or_pos :args (@t447)) % 15.66/19.60 (step @p792 :rule reordering :premises (@p791) :args ((or @t310 @t446 @t445 @t443 (not @t447)))) % 15.66/19.60 (step @p793 :rule chain_m_resolution :premises (@p792 @p610 @p790 @p752 @p625) :args (@t446 @t519 (@list @t309 @t444 @t442 @t447))) % 15.66/19.60 (step @p794 :rule bool-double-not-elim :args (@t437)) % 15.66/19.60 (step @p795 :rule refl :args (@t520)) % 15.66/19.60 (step @p796 :rule nary_cong :premises (@p795 @p593 @p794) :args ((or @t520 @t434 (not @t438)))) % 15.66/19.60 (step @p797 :rule cnf_equiv_pos2 :args (@t439)) % 15.66/19.60 (step @p798 :rule eq_resolve :premises (@p797 @p796)) % 15.66/19.60 (step @p799 :rule reordering :premises (@p798) :args ((or @t437 @t434 @t520))) % 15.66/19.60 (step @p800 :rule chain_m_resolution :premises (@p799 @p793 @p613) :args (@t437 @t394 (@list @t434 @t439))) % 15.66/19.60 (assume-push @p1047 @t307) % 15.66/19.60 (assume-push @p1048 @t304) % 15.66/19.60 (assume-push @p1049 @t371) % 15.66/19.60 (assume-push @p1050 @t376) % 15.66/19.60 (assume-push @p1051 @t380) % 15.66/19.60 (assume-push @p1052 @t437) % 15.66/19.60 (assume-push @p1053 @t431) % 15.66/19.60 (assume-push @p1054 @t401) % 15.66/19.60 (assume-push @p1055 @t380) % 15.66/19.60 (assume-push @p1056 @t307) % 15.66/19.60 (assume-push @p1057 @t437) % 15.66/19.60 (assume-push @p1058 @t431) % 15.66/19.60 (assume-push @p1059 @t371) % 15.66/19.60 (assume-push @p1060 @t401) % 15.66/19.60 (assume-push @p1061 @t304) % 15.66/19.60 (assume-push @p1062 @t376) % 15.66/19.60 (step @p817 :rule symm :premises (@p1047)) % 15.66/19.60 (step @p732 :rule refl :args (@t300)) % 15.66/19.60 (step @p818 :rule cong :premises (@p732 @p1052) :args (@t430)) % 15.66/19.60 (step @p819 :rule refl :args (@t299)) % 15.66/19.60 (step @p820 :rule cong :premises (@p819 @p471) :args (@t300)) % 15.66/19.60 (step @p821 :rule symm :premises (@p1054)) % 15.66/19.60 (step @p822 :rule symm :premises (@p1052)) % 15.66/19.60 (step @p823 :rule cong :premises (@p822 @p732) :args (@t302)) % 15.66/19.60 (step @p824 :rule symm :premises (@p489)) % 15.66/19.60 (step @p825 :rule trans :premises (@p824 @p1048 @p823 @p821 @p820 @p1053 @p818 @p817 @p499)) % 15.66/19.60 (step-pop @p1063 :rule scope :premises (@p825)) % 15.66/19.60 (step-pop @p1064 :rule scope :premises (@p1063)) % 15.66/19.60 (step-pop @p1065 :rule scope :premises (@p1064)) % 15.66/19.60 (step-pop @p1066 :rule scope :premises (@p1065)) % 15.66/19.60 (step-pop @p1067 :rule scope :premises (@p1066)) % 15.66/19.60 (step-pop @p1068 :rule scope :premises (@p1067)) % 15.66/19.60 (step-pop @p1069 :rule scope :premises (@p1068)) % 15.66/19.60 (step-pop @p1070 :rule scope :premises (@p1069)) % 15.66/19.60 (step @p826 :rule process_scope :premises (@p1070) :args (@t521)) % 15.66/19.60 (step @p835 :rule and_intro :premises (@p499 @p1047 @p1052 @p1053 @p471 @p1054 @p1048 @p489)) % 15.66/19.60 (step @p836 :rule modus_ponens :premises (@p835 @p826)) % 15.66/19.60 (step-pop @p1071 :rule scope :premises (@p836)) % 15.66/19.60 (step-pop @p1072 :rule scope :premises (@p1071)) % 15.66/19.60 (step-pop @p1073 :rule scope :premises (@p1072)) % 15.66/19.60 (step-pop @p1074 :rule scope :premises (@p1073)) % 15.66/19.60 (step-pop @p1075 :rule scope :premises (@p1074)) % 15.66/19.60 (step-pop @p1076 :rule scope :premises (@p1075)) % 15.66/19.60 (step-pop @p1077 :rule scope :premises (@p1076)) % 15.66/19.60 (step-pop @p1078 :rule scope :premises (@p1077)) % 15.66/19.60 (step @p837 :rule process_scope :premises (@p1078) :args (@t521)) % 15.66/19.60 (step @p846 :rule implies_elim :premises (@p837)) % 15.66/19.60 (step @p847 :rule cnf_and_neg :args (@t522)) % 15.66/19.60 (step @p848 :rule resolution :premises (@p847 @p846) :args (true @t522)) % 15.66/19.60 (step @p849 :rule reordering :premises (@p848) :args ((or @t308 @t305 @t524 @t523 @t518 @t521 @t438 (not @t431) (not @t401)))) % 15.66/19.60 (step @p850 :rule chain_m_resolution :premises (@p849 @p763 @p723 @p471 @p489 @p499 @p800 @p590 @p548) :args (@t521 (@list false false false false false false false false) (@list @t307 @t304 @t371 @t376 @t380 @t437 @t431 @t401))) % 15.66/19.60 (step @p851 :rule refl :args (@t525)) % 15.66/19.60 (step @p852 :rule cong :premises (@p355 @p851) :args ((= @t334 @t525))) % 15.66/19.60 (step @p853 :rule eq-symm :args (@t525 @t334)) % 15.66/19.60 (step @p854 :rule trans :premises (@p853 @p852)) % 15.66/19.60 (step @p855 :rule nary_cong :premises (@p362 @p419 @p854) :args (@t526)) % 15.66/19.60 (step @p856 :rule cong :premises (@p421 @p855) :args ((=> @t362 @t526))) % 15.66/19.60 (assume-push @p1079 @t362) % 15.66/19.60 (step @p858 :rule instantiate :premises (@p411) :args ((@list @t303 tptp.nil))) % 15.66/19.60 (step-pop @p1080 :rule scope :premises (@p858)) % 15.66/19.60 (step @p859 :rule process_scope :premises (@p1080) :args (@t526)) % 15.66/19.60 (step @p861 :rule eq_resolve :premises (@p859 @p856)) % 15.66/19.60 (step @p862 :rule implies_elim :premises (@p861)) % 15.66/19.60 (step @p863 :rule chain_m_resolution :premises (@p862 @p411) :args (@t528 @t365 @t366)) % 15.66/19.60 (step @p864 :rule cnf_or_pos :args (@t528)) % 15.66/19.60 (step @p865 :rule reordering :premises (@p864) :args ((or @t360 @t329 @t527 (not @t528)))) % 15.66/19.60 (step @p866 :rule chain_m_resolution :premises (@p865 @p17 @p486 @p863) :args (@t527 @t400 (@list @t45 @t328 @t528))) % 15.66/19.60 (assume-push @p1081 @t319) % 15.66/19.60 (step @p868 :rule instantiate :premises (@p1081) :args (@t374)) % 15.66/19.60 (step-pop @p1082 :rule scope :premises (@p868)) % 15.66/19.60 (step @p869 :rule process_scope :premises (@p1082) :args (@t534)) % 15.66/19.60 (step @p871 :rule implies_elim :premises (@p869)) % 15.66/19.60 (step @p872 :rule chain_m_resolution :premises (@p871 @p619) :args (@t534 @t365 @t448)) % 15.66/19.60 (step @p873 :rule instantiate :premises (@p705) :args (@t374)) % 15.66/19.60 (step @p874 :rule cnf_or_pos :args (@t535)) % 15.66/19.60 (step @p875 :rule reordering :premises (@p874) :args ((or @t329 @t529 (not @t535)))) % 15.66/19.60 (step @p876 :rule chain_m_resolution :premises (@p875 @p486 @p873) :args (@t529 @t367 (@list @t328 @t535))) % 15.66/19.60 (step @p877 :rule instantiate :premises (@p705) :args (@t378)) % 15.66/19.60 (step @p878 :rule cnf_or_pos :args (@t537)) % 15.66/19.60 (step @p879 :rule reordering :premises (@p878) :args ((or @t327 @t536 (not @t537)))) % 15.66/19.60 (step @p880 :rule chain_m_resolution :premises (@p879 @p496 @p877) :args (@t536 @t367 (@list @t326 @t537))) % 15.66/19.60 (step @p881 :rule refl :args (@t538)) % 15.66/19.60 (step @p882 :rule refl :args (@t539)) % 15.66/19.60 (step @p883 :rule refl :args (@t518)) % 15.66/19.60 (step @p884 :rule bool-double-not-elim :args (@t531)) % 15.66/19.60 (step @p885 :rule refl :args (@t523)) % 15.66/19.60 (step @p886 :rule nary_cong :premises (@p885 @p884 @p883 @p882 @p881) :args ((or @t523 (not @t532) @t518 @t539 @t538))) % 15.66/19.60 (assume-push @p1083 @t532) % 15.66/19.60 (assume-push @p1084 @t376) % 15.66/19.60 (assume-push @p1085 @t521) % 15.66/19.60 (assume-push @p1086 @t380) % 15.66/19.60 (assume-push @p1087 @t536) % 15.66/19.60 (step @p892 :rule evaluate :args ((= true false))) % 15.66/19.60 (step @p893 :rule false_intro :premises (@p1083)) % 15.66/19.60 (step @p824 :rule symm :premises (@p489)) % 15.66/19.60 (step @p894 :rule symm :premises (@p1085)) % 15.66/19.60 (step @p895 :rule trans :premises (@p499 @p894 @p824)) % 15.66/19.60 (step @p896 :rule refl :args (@t297)) % 15.66/19.60 (step @p897 :rule cong :premises (@p896 @p895) :args (@t536)) % 15.66/19.60 (step @p898 :rule true_intro :premises (@p880)) % 15.66/19.60 (step @p899 :rule symm :premises (@p898)) % 15.66/19.60 (step @p900 :rule trans :premises (@p899 @p897 @p893)) % 15.66/19.60 (step @p901 false :rule eq_resolve :premises (@p900 @p892)) % 15.66/19.60 (step-pop @p1088 :rule scope :premises (@p901)) % 15.66/19.60 (step-pop @p1089 :rule scope :premises (@p1088)) % 15.66/19.60 (step-pop @p1090 :rule scope :premises (@p1089)) % 15.66/19.60 (step-pop @p1091 :rule scope :premises (@p1090)) % 15.66/19.60 (step-pop @p1092 :rule scope :premises (@p1091)) % 15.66/19.60 (step @p902 :rule process_scope :premises (@p1092) :args (false)) % 15.66/19.60 (assume-push @p1093 @t376) % 15.66/19.60 (assume-push @p1094 @t532) % 15.66/19.60 (assume-push @p1095 @t380) % 15.66/19.60 (assume-push @p1096 @t536) % 15.66/19.60 (assume-push @p1097 @t521) % 15.66/19.60 (step @p913 :rule and_intro :premises (@p1094 @p489 @p1097 @p499 @p880)) % 15.66/19.60 (step-pop @p1098 :rule scope :premises (@p913)) % 15.66/19.60 (step-pop @p1099 :rule scope :premises (@p1098)) % 15.66/19.60 (step-pop @p1100 :rule scope :premises (@p1099)) % 15.66/19.60 (step-pop @p1101 :rule scope :premises (@p1100)) % 15.66/19.60 (step-pop @p1102 :rule scope :premises (@p1101)) % 15.66/19.60 (step @p914 :rule process_scope :premises (@p1102) :args (@t540)) % 15.66/19.60 (step @p920 :rule implies_elim :premises (@p914)) % 15.66/19.60 (step @p921 :rule resolution :premises (@p920 @p902) :args (true @t540)) % 15.66/19.60 (step @p922 :rule not_and :premises (@p921)) % 15.66/19.60 (step @p923 :rule eq_resolve :premises (@p922 @p886)) % 15.66/19.60 (step @p924 :rule reordering :premises (@p923) :args ((or @t531 @t523 @t539 @t518 @t538))) % 15.66/19.60 (step @p925 :rule chain_m_resolution :premises (@p924 @p489 @p880 @p499 @p850) :args (@t531 @t519 (@list @t376 @t536 @t380 @t521))) % 15.66/19.60 (step @p926 :rule cnf_or_pos :args (@t534)) % 15.66/19.60 (step @p927 :rule reordering :premises (@p926) :args ((or @t329 @t533 @t532 @t530 (not @t534)))) % 15.66/19.60 (step @p928 :rule chain_m_resolution :premises (@p927 @p486 @p925 @p876 @p872) :args (@t533 @t519 (@list @t328 @t531 @t529 @t534))) % 15.66/19.60 (step @p929 :rule refl :args (@t541)) % 15.66/19.60 (step @p930 :rule nary_cong :premises (@p929 @p377 @p851) :args ((or @t541 @t342 @t525))) % 15.66/19.60 (step @p931 :rule cnf_equiv_pos1 :args (@t527)) % 15.66/19.60 (step @p932 :rule eq_resolve :premises (@p931 @p930)) % 15.66/19.60 (step @p933 :rule reordering :premises (@p932) :args ((or @t316 @t525 @t541))) % 15.66/19.60 (step @p934 :rule chain_m_resolution :premises (@p933 @p928 @p866) :args (@t316 @t394 (@list @t525 @t527))) % 15.66/19.60 (step @p935 :rule refl :args (@t317)) % 15.66/19.60 (step @p936 :rule bool-double-not-elim :args (@t542)) % 15.66/19.60 (step @p937 :rule refl :args (@t524)) % 15.66/19.60 (step @p938 :rule nary_cong :premises (@p937 @p936 @p885 @p935) :args ((or @t524 (not @t543) @t523 @t317))) % 15.66/19.60 (assume-push @p1103 @t371) % 15.66/19.60 (assume-push @p1104 @t543) % 15.66/19.60 (assume-push @p1105 @t376) % 15.66/19.60 (assume-push @p1106 @t543) % 15.66/19.60 (assume-push @p1107 @t371) % 15.66/19.60 (assume-push @p1108 @t376) % 15.66/19.60 (step @p945 :rule false_intro :premises (@p1104)) % 15.66/19.60 (step @p946 :rule cong :premises (@p471 @p489) :args (@t316)) % 15.66/19.60 (step @p947 :rule trans :premises (@p946 @p945)) % 15.66/19.60 (step @p948 :rule false_elim :premises (@p947)) % 15.66/19.60 (step-pop @p1109 :rule scope :premises (@p948)) % 15.66/19.60 (step-pop @p1110 :rule scope :premises (@p1109)) % 15.66/19.60 (step-pop @p1111 :rule scope :premises (@p1110)) % 15.66/19.60 (step @p949 :rule process_scope :premises (@p1111) :args (@t317)) % 15.66/19.60 (step @p953 :rule and_intro :premises (@p1104 @p471 @p489)) % 15.66/19.60 (step @p954 :rule modus_ponens :premises (@p953 @p949)) % 15.66/19.60 (step-pop @p1112 :rule scope :premises (@p954)) % 15.66/19.60 (step-pop @p1113 :rule scope :premises (@p1112)) % 15.66/19.60 (step-pop @p1114 :rule scope :premises (@p1113)) % 15.66/19.60 (step @p955 :rule process_scope :premises (@p1114) :args (@t317)) % 15.66/19.60 (step @p959 :rule implies_elim :premises (@p955)) % 15.66/19.60 (step @p960 :rule cnf_and_neg :args (@t544)) % 15.66/19.60 (step @p961 :rule resolution :premises (@p960 @p959) :args (true @t544)) % 15.66/19.60 (step @p962 :rule eq_resolve :premises (@p961 @p938)) % 15.66/19.60 (step @p963 :rule reordering :premises (@p962) :args ((or @t317 @t524 @t542 @t523))) % 15.66/19.60 (step @p964 :rule chain_m_resolution :premises (@p963 @p934 @p471 @p489) :args (@t542 @t400 (@list @t316 @t371 @t376))) % 15.66/19.60 (step @p965 :rule refl :args (@t543)) % 15.66/19.60 (step @p966 :rule nary_cong :premises (@p524 @p937 @p885 @p883 @p881 @p965) :args ((or @t393 @t524 @t523 @t518 @t538 @t543))) % 15.66/19.60 (assume-push @p1115 @t323) % 15.66/19.60 (assume-push @p1116 @t371) % 15.66/19.60 (assume-push @p1117 @t376) % 15.66/19.60 (assume-push @p1118 @t380) % 15.66/19.60 (assume-push @p1119 @t521) % 15.66/19.60 (assume-push @p1120 @t323) % 15.66/19.60 (assume-push @p1121 @t380) % 15.66/19.60 (assume-push @p1122 @t521) % 15.66/19.60 (assume-push @p1123 @t376) % 15.66/19.60 (assume-push @p1124 @t371) % 15.66/19.60 (step @p977 :rule false_intro :premises (@p1115)) % 15.66/19.60 (step @p978 :rule symm :premises (@p499)) % 15.66/19.60 (step @p979 :rule trans :premises (@p489 @p1119 @p978)) % 15.66/19.60 (step @p980 :rule symm :premises (@p979)) % 15.66/19.60 (step @p981 :rule trans :premises (@p980 @p489)) % 15.66/19.60 (step @p982 :rule symm :premises (@p981)) % 15.66/19.60 (step @p983 :rule symm :premises (@p471)) % 15.66/19.60 (step @p984 :rule cong :premises (@p983 @p982) :args (@t542)) % 15.66/19.60 (step @p985 :rule trans :premises (@p984 @p977)) % 15.66/19.60 (step @p986 :rule false_elim :premises (@p985)) % 15.66/19.60 (step-pop @p1125 :rule scope :premises (@p986)) % 15.66/19.60 (step-pop @p1126 :rule scope :premises (@p1125)) % 15.66/19.60 (step-pop @p1127 :rule scope :premises (@p1126)) % 15.66/19.60 (step-pop @p1128 :rule scope :premises (@p1127)) % 15.66/19.60 (step-pop @p1129 :rule scope :premises (@p1128)) % 15.66/19.60 (step @p987 :rule process_scope :premises (@p1129) :args (@t543)) % 15.66/19.60 (step @p993 :rule and_intro :premises (@p1115 @p499 @p1119 @p489 @p471)) % 15.66/19.60 (step @p994 :rule modus_ponens :premises (@p993 @p987)) % 15.66/19.60 (step-pop @p1130 :rule scope :premises (@p994)) % 15.66/19.60 (step-pop @p1131 :rule scope :premises (@p1130)) % 15.66/19.60 (step-pop @p1132 :rule scope :premises (@p1131)) % 15.66/19.60 (step-pop @p1133 :rule scope :premises (@p1132)) % 15.66/19.60 (step-pop @p1134 :rule scope :premises (@p1133)) % 15.66/19.60 (step @p995 :rule process_scope :premises (@p1134) :args (@t543)) % 15.66/19.60 (step @p1001 :rule implies_elim :premises (@p995)) % 15.66/19.60 (step @p1002 :rule cnf_and_neg :args (@t545)) % 15.66/19.60 (step @p1003 :rule resolution :premises (@p1002 @p1001) :args (true @t545)) % 15.66/19.60 (step @p1004 :rule eq_resolve :premises (@p1003 @p966)) % 15.66/19.60 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t315 @t524 @t543 @t523 @t518 @t538))) % 15.66/19.60 (step @p1006 false :rule chain_m_resolution :premises (@p1005 @p964 @p850 @p499 @p489 @p471 @p460) :args (false (@list false false false false false true) (@list @t542 @t521 @t380 @t376 @t371 @t315))) % 15.66/19.60 ) % 15.66/19.60 % SZS output end Proof % 15.66/19.60 % cvc5 exiting %------------------------------------------------------------------------------