%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC346+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 : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:57 AM UTC 2026 % Result : Theorem 1.12s 1.31s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC346+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 : n005.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 19:42:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.31 % SZS status Theorem % 1.12/1.31 % SZS output start Proof % 1.12/1.31 ( % 1.12/1.31 (declare-sort $$unsorted 0) % 1.12/1.31 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.12/1.31 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.12/1.31 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.31 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.31 (declare-const tptp.nil $$unsorted) % 1.12/1.31 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.12/1.31 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.12/1.31 (define @t1 () (@var "V" $$unsorted)) % 1.12/1.31 (define @t2 () (@var "U" $$unsorted)) % 1.12/1.31 (define @t3 () (= @t2 @t1)) % 1.12/1.31 (define @t4 () (not @t3)) % 1.12/1.31 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.12/1.31 (define @t6 () (tptp.ssItem @t1)) % 1.12/1.31 (define @t7 () (@list @t1)) % 1.12/1.31 (define @t8 () (tptp.ssItem @t2)) % 1.12/1.31 (define @t9 () (@list @t2)) % 1.12/1.31 (define @t10 () (@var "X" $$unsorted)) % 1.12/1.31 (define @t11 () (tptp.cons @t1 @t10)) % 1.12/1.31 (define @t12 () (@var "W" $$unsorted)) % 1.12/1.31 (define @t13 () (tptp.ssList @t10)) % 1.12/1.31 (define @t14 () (@list @t10)) % 1.12/1.31 (define @t15 () (tptp.ssList @t12)) % 1.12/1.31 (define @t16 () (@list @t12)) % 1.12/1.31 (define @t17 () (tptp.ssList @t2)) % 1.12/1.31 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.12/1.31 (define @t19 () (tptp.app @t1 @t12)) % 1.12/1.31 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.12/1.31 (define @t21 () (tptp.ssList @t1)) % 1.12/1.31 (define @t22 () (tptp.app @t12 @t1)) % 1.12/1.31 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.12/1.31 (define @t24 () (tptp.app @t22 @t10)) % 1.12/1.31 (define @t25 () (and @t13 (= @t24 @t2))) % 1.12/1.31 (define @t26 () (exists @t14 @t25)) % 1.12/1.31 (define @t27 () (and @t15 @t26)) % 1.12/1.31 (define @t28 () (exists @t16 @t27)) % 1.12/1.31 (define @t29 () (tptp.segmentP @t2 @t1)) % 1.12/1.31 (define @t30 () (= @t29 @t28)) % 1.12/1.31 (define @t31 () (=> @t21 @t30)) % 1.12/1.31 (define @t32 () (forall @t7 @t31)) % 1.12/1.31 (define @t33 () (=> @t17 @t32)) % 1.12/1.31 (define @t34 () (forall @t9 @t33)) % 1.12/1.31 (define @t35 () (tptp.leq @t12 @t1)) % 1.12/1.31 (define @t36 () (tptp.leq @t1 @t12)) % 1.12/1.31 (define @t37 () (@var "Z" $$unsorted)) % 1.12/1.31 (define @t38 () (@var "Y" $$unsorted)) % 1.12/1.31 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 1.12/1.31 (define @t40 () (tptp.ssList @t37)) % 1.12/1.31 (define @t41 () (@list @t37)) % 1.12/1.31 (define @t42 () (tptp.ssList @t38)) % 1.12/1.31 (define @t43 () (@list @t38)) % 1.12/1.31 (define @t44 () (tptp.ssItem @t12)) % 1.12/1.31 (define @t45 () (tptp.lt @t1 @t12)) % 1.12/1.31 (define @t46 () (tptp.strictorderedP @t2)) % 1.12/1.31 (define @t47 () (= @t1 @t12)) % 1.12/1.31 (define @t48 () (tptp.cons @t1 @t2)) % 1.12/1.31 (define @t49 () (tptp.ssList tptp.nil)) % 1.12/1.31 (define @t50 () (= @t1 @t2)) % 1.12/1.31 (define @t51 () (tptp.cons @t12 @t1)) % 1.12/1.31 (define @t52 () (= tptp.nil @t2)) % 1.12/1.31 (define @t53 () (tptp.hd @t2)) % 1.12/1.31 (define @t54 () (not @t52)) % 1.12/1.31 (define @t55 () (tptp.tl @t2)) % 1.12/1.31 (define @t56 () (tptp.app @t2 @t1)) % 1.12/1.31 (define @t57 () (tptp.app @t1 @t2)) % 1.12/1.31 (define @t58 () (tptp.leq @t1 @t2)) % 1.12/1.31 (define @t59 () (tptp.leq @t2 @t1)) % 1.12/1.31 (define @t60 () (tptp.geq @t2 @t1)) % 1.12/1.31 (define @t61 () (tptp.lt @t1 @t2)) % 1.12/1.31 (define @t62 () (tptp.lt @t2 @t1)) % 1.12/1.31 (define @t63 () (tptp.lt @t2 @t12)) % 1.12/1.31 (define @t64 () (tptp.gt @t2 @t1)) % 1.12/1.31 (define @t65 () (tptp.memberP @t12 @t2)) % 1.12/1.31 (define @t66 () (tptp.app @t12 @t2)) % 1.12/1.31 (define @t67 () (tptp.segmentP @t1 @t2)) % 1.12/1.31 (define @t68 () (tptp.segmentP @t2 @t2)) % 1.12/1.31 (define @t69 () (forall @t9 (=> @t17 @t68))) % 1.12/1.31 (define @t70 () (tptp.cons @t2 tptp.nil)) % 1.12/1.31 (define @t71 () (tptp.hd @t1)) % 1.12/1.31 (define @t72 () (= tptp.nil @t1)) % 1.12/1.31 (define @t73 () (not @t72)) % 1.12/1.31 (define @t74 () (tptp.cons @t2 @t1)) % 1.12/1.31 (define @t75 () (tptp.strictorderedP @t70)) % 1.12/1.31 (define @t76 () (forall @t9 (=> @t8 @t75))) % 1.12/1.31 (define @t77 () (tptp.strictorderedP tptp.nil)) % 1.12/1.31 (define @t78 () (= @t12 @t2)) % 1.12/1.31 (define @t79 () (and @t67 @t46)) % 1.12/1.31 (define @t80 () (not (= tptp.nil @t12))) % 1.12/1.31 (define @t81 () (not (= tptp.nil @t10))) % 1.12/1.31 (define @t82 () (or @t81 @t80)) % 1.12/1.31 (define @t83 () (@var "X3" $$unsorted)) % 1.12/1.31 (define @t84 () (tptp.lt @t83 @t38)) % 1.12/1.31 (define @t85 () (@var "X1" $$unsorted)) % 1.12/1.31 (define @t86 () (tptp.memberP @t85 @t83)) % 1.12/1.31 (define @t87 () (tptp.ssItem @t83)) % 1.12/1.31 (define @t88 () (and @t87 @t86 @t84)) % 1.12/1.31 (define @t89 () (@list @t83)) % 1.12/1.31 (define @t90 () (exists @t89 @t88)) % 1.12/1.31 (define @t91 () (@var "X2" $$unsorted)) % 1.12/1.31 (define @t92 () (tptp.lt @t38 @t91)) % 1.12/1.31 (define @t93 () (tptp.memberP @t37 @t91)) % 1.12/1.31 (define @t94 () (tptp.ssItem @t91)) % 1.12/1.31 (define @t95 () (and @t94 @t93 @t92)) % 1.12/1.31 (define @t96 () (@list @t91)) % 1.12/1.31 (define @t97 () (exists @t96 @t95)) % 1.12/1.31 (define @t98 () (tptp.app @t37 @t12)) % 1.12/1.31 (define @t99 () (tptp.app @t98 @t85)) % 1.12/1.31 (define @t100 () (not (= @t99 @t10))) % 1.12/1.31 (define @t101 () (tptp.cons @t38 tptp.nil)) % 1.12/1.31 (define @t102 () (not (= @t101 @t12))) % 1.12/1.31 (define @t103 () (not (tptp.ssList @t85))) % 1.12/1.31 (define @t104 () (or @t103 @t102 @t100 @t97 @t90)) % 1.12/1.31 (define @t105 () (@list @t85)) % 1.12/1.31 (define @t106 () (forall @t105 @t104)) % 1.12/1.31 (define @t107 () (=> @t40 @t106)) % 1.12/1.31 (define @t108 () (forall @t41 @t107)) % 1.12/1.31 (define @t109 () (tptp.ssItem @t38)) % 1.12/1.31 (define @t110 () (=> @t109 @t108)) % 1.12/1.31 (define @t111 () (forall @t43 @t110)) % 1.12/1.31 (define @t112 () (and @t111 @t82)) % 1.12/1.31 (define @t113 () (not (= @t2 @t12))) % 1.12/1.31 (define @t114 () (not (= @t1 @t10))) % 1.12/1.31 (define @t115 () (not @t13)) % 1.12/1.31 (define @t116 () (or @t115 @t114 @t113 @t112 @t79)) % 1.12/1.31 (define @t117 () (forall @t14 @t116)) % 1.12/1.31 (define @t118 () (=> @t15 @t117)) % 1.12/1.31 (define @t119 () (forall @t16 @t118)) % 1.12/1.31 (define @t120 () (=> @t21 @t119)) % 1.12/1.31 (define @t121 () (forall @t7 @t120)) % 1.12/1.31 (define @t122 () (=> @t17 @t121)) % 1.12/1.31 (define @t123 () (forall @t9 @t122)) % 1.12/1.31 (define @t124 () (not @t123)) % 1.12/1.31 (define @t125 () (not (= @t2 tptp.nil))) % 1.12/1.31 (define @t126 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 1.12/1.31 (define @t127 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 1.12/1.31 (define @t128 () (@var "BOUND_VARIABLE_11307" $$unsorted)) % 1.12/1.31 (define @t129 () (not @t87)) % 1.12/1.31 (define @t130 () (@var "BOUND_VARIABLE_11305" $$unsorted)) % 1.12/1.31 (define @t131 () (not @t94)) % 1.12/1.31 (define @t132 () (or (not (tptp.ssItem @t127)) (not (= @t2 (tptp.cons @t127 tptp.nil))) (not (tptp.ssList @t130)) (not (forall @t96 (or @t131 (not (tptp.memberP @t130 @t91)) (not (tptp.lt @t127 @t91))))) (not (tptp.ssList @t128)) (not (= @t126 (tptp.app (tptp.app @t130 @t2) @t128))) (not (forall @t89 (or @t129 (not (tptp.memberP @t128 @t83)) (not (tptp.lt @t83 @t127))))))) % 1.12/1.31 (define @t133 () (and (tptp.segmentP @t126 @t2) @t46)) % 1.12/1.31 (define @t134 () (not (tptp.ssList @t126))) % 1.12/1.31 (define @t135 () (not @t17)) % 1.12/1.31 (define @t136 () (@list @t2 @t126 @t127 @t130 @t128)) % 1.12/1.31 (define @t137 () (forall @t136 (or @t135 @t134 @t133 (and @t132 (or (not (= tptp.nil @t126)) @t125))))) % 1.12/1.31 (define @t138 () (@quantifiers_skolemize @t137 1)) % 1.12/1.31 (define @t139 () (= tptp.nil @t138)) % 1.12/1.31 (define @t140 () (@quantifiers_skolemize @t137 0)) % 1.12/1.31 (define @t141 () (= tptp.nil @t140)) % 1.12/1.31 (define @t142 () (not @t141)) % 1.12/1.31 (define @t143 () (not @t139)) % 1.12/1.31 (define @t144 () (or @t143 @t142)) % 1.12/1.31 (define @t145 () (tptp.segmentP tptp.nil tptp.nil)) % 1.12/1.31 (define @t146 () (not @t49)) % 1.12/1.31 (define @t147 () (or @t146 @t145)) % 1.12/1.31 (define @t148 () (tptp.segmentP @t138 @t140)) % 1.12/1.31 (define @t149 () (and @t139 @t141 @t145)) % 1.12/1.31 (define @t150 () (tptp.strictorderedP @t140)) % 1.12/1.31 (define @t151 () (and @t77 @t141)) % 1.12/1.31 (define @t152 () (not (= @t126 tptp.nil))) % 1.12/1.31 (define @t153 () (or @t152 @t125)) % 1.12/1.31 (define @t154 () (and @t132 @t153)) % 1.12/1.31 (define @t155 () (or @t135 @t134 @t133 @t154)) % 1.12/1.31 (define @t156 () (or @t134 @t133 @t154)) % 1.12/1.31 (define @t157 () (or @t135 @t156)) % 1.12/1.31 (define @t158 () (forall @t136 @t157)) % 1.12/1.31 (define @t159 () (@list @t126 @t127 @t130 @t128)) % 1.12/1.31 (define @t160 () (forall @t159 @t157)) % 1.12/1.31 (define @t161 () (forall @t159 @t156)) % 1.12/1.31 (define @t162 () (@var "BOUND_VARIABLE_11263" $$unsorted)) % 1.12/1.31 (define @t163 () (@var "BOUND_VARIABLE_11261" $$unsorted)) % 1.12/1.31 (define @t164 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 1.12/1.31 (define @t165 () (or @t135 @t161)) % 1.12/1.31 (define @t166 () (not (= @t1 tptp.nil))) % 1.12/1.31 (define @t167 () (or @t166 @t125)) % 1.12/1.31 (define @t168 () (or (not (tptp.ssItem @t164)) (not (= @t2 (tptp.cons @t164 tptp.nil))) (not (tptp.ssList @t163)) (not (forall @t96 (or @t131 (not (tptp.memberP @t163 @t91)) (not (tptp.lt @t164 @t91))))) (not (tptp.ssList @t162)) (not (= @t1 (tptp.app (tptp.app @t163 @t2) @t162))) (not (forall @t89 (or @t129 (not (tptp.memberP @t162 @t83)) (not (tptp.lt @t83 @t164))))))) % 1.12/1.31 (define @t169 () (and @t168 @t167)) % 1.12/1.31 (define @t170 () (not @t21)) % 1.12/1.31 (define @t171 () (or @t170 @t79 @t169)) % 1.12/1.31 (define @t172 () (forall (@list @t1 @t164 @t163 @t162) @t171)) % 1.12/1.31 (define @t173 () (or @t135 @t172)) % 1.12/1.31 (define @t174 () (@list @t164 @t163 @t162)) % 1.12/1.31 (define @t175 () (forall @t174 @t171)) % 1.12/1.31 (define @t176 () (forall @t174 @t167)) % 1.12/1.31 (define @t177 () (forall @t174 @t168)) % 1.12/1.31 (define @t178 () (@var "BOUND_VARIABLE_11210" $$unsorted)) % 1.12/1.31 (define @t179 () (@var "BOUND_VARIABLE_11208" $$unsorted)) % 1.12/1.31 (define @t180 () (@var "BOUND_VARIABLE_11206" $$unsorted)) % 1.12/1.31 (define @t181 () (@list @t180 @t179 @t178)) % 1.12/1.31 (define @t182 () (and @t177 @t176)) % 1.12/1.31 (define @t183 () (forall @t174 @t169)) % 1.12/1.31 (define @t184 () (or @t170 @t79 @t183)) % 1.12/1.31 (define @t185 () (and (forall (@list @t180 @t179 @t178) (or (not (tptp.ssItem @t180)) (not (= @t2 (tptp.cons @t180 tptp.nil))) (not (tptp.ssList @t179)) (not (forall @t96 (or @t131 (not (tptp.memberP @t179 @t91)) (not (tptp.lt @t180 @t91))))) (not (tptp.ssList @t178)) (not (= @t1 (tptp.app (tptp.app @t179 @t2) @t178))) (not (forall @t89 (or @t129 (not (tptp.memberP @t178 @t83)) (not (tptp.lt @t83 @t180))))))) @t167)) % 1.12/1.31 (define @t186 () (or @t170 @t79 @t185)) % 1.12/1.31 (define @t187 () (forall @t7 @t186)) % 1.12/1.31 (define @t188 () (or @t135 @t187)) % 1.12/1.31 (define @t189 () (or @t135 @t186)) % 1.12/1.31 (define @t190 () (or @t170 @t79 @t135 @t185)) % 1.12/1.31 (define @t191 () (or @t79 @t170 @t135 @t185)) % 1.12/1.31 (define @t192 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 1.12/1.31 (define @t193 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 1.12/1.31 (define @t194 () (@var "BOUND_VARIABLE_11149" $$unsorted)) % 1.12/1.31 (define @t195 () (@list @t194 @t193 @t192)) % 1.12/1.31 (define @t196 () (forall @t195 @t167)) % 1.12/1.31 (define @t197 () (not (forall @t89 (or @t129 (not (tptp.memberP @t192 @t83)) (not (tptp.lt @t83 @t194)))))) % 1.12/1.31 (define @t198 () (not (tptp.ssList @t192))) % 1.12/1.31 (define @t199 () (not (forall @t96 (or @t131 (not (tptp.memberP @t193 @t91)) (not (tptp.lt @t194 @t91)))))) % 1.12/1.31 (define @t200 () (not (tptp.ssList @t193))) % 1.12/1.31 (define @t201 () (tptp.cons @t194 tptp.nil)) % 1.12/1.31 (define @t202 () (not (tptp.ssItem @t194))) % 1.12/1.31 (define @t203 () (or @t202 (not (= @t2 @t201)) @t200 @t199 @t198 (not (= @t1 (tptp.app (tptp.app @t193 @t2) @t192))) @t197)) % 1.12/1.31 (define @t204 () (forall @t195 @t203)) % 1.12/1.31 (define @t205 () (@list @t194 @t193 @t192)) % 1.12/1.31 (define @t206 () (and @t204 @t196)) % 1.12/1.31 (define @t207 () (and @t203 @t167)) % 1.12/1.31 (define @t208 () (forall @t195 @t207)) % 1.12/1.31 (define @t209 () (or @t135 @t208)) % 1.12/1.31 (define @t210 () (or @t135 @t207)) % 1.12/1.31 (define @t211 () (not (= @t2 @t2))) % 1.12/1.31 (define @t212 () (or @t135 @t211 @t207)) % 1.12/1.31 (define @t213 () (not (= @t12 tptp.nil))) % 1.12/1.31 (define @t214 () (or @t166 @t213)) % 1.12/1.31 (define @t215 () (or @t202 (not (= @t12 @t201)) @t200 @t199 @t198 (not (= @t1 (tptp.app (tptp.app @t193 @t12) @t192))) @t197)) % 1.12/1.31 (define @t216 () (and @t215 @t214)) % 1.12/1.31 (define @t217 () (not @t15)) % 1.12/1.31 (define @t218 () (or @t113 @t217 @t113 @t216)) % 1.12/1.31 (define @t219 () (or @t217 @t113 @t216)) % 1.12/1.31 (define @t220 () (forall @t16 @t219)) % 1.12/1.31 (define @t221 () (forall @t195 @t220)) % 1.12/1.31 (define @t222 () (forall (@list @t194 @t193 @t192 @t12) @t219)) % 1.12/1.31 (define @t223 () (forall (@list @t12 @t194 @t193 @t192) @t219)) % 1.12/1.31 (define @t224 () (forall @t195 @t219)) % 1.12/1.31 (define @t225 () (forall @t195 @t214)) % 1.12/1.31 (define @t226 () (forall @t195 @t215)) % 1.12/1.31 (define @t227 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 1.12/1.31 (define @t228 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 1.12/1.31 (define @t229 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 1.12/1.31 (define @t230 () (@list @t229 @t228 @t227)) % 1.12/1.31 (define @t231 () (and @t226 @t225)) % 1.12/1.31 (define @t232 () (forall @t195 @t216)) % 1.12/1.31 (define @t233 () (or @t217 @t113 @t232)) % 1.12/1.31 (define @t234 () (and (forall (@list @t229 @t228 @t227) (or (not (tptp.ssItem @t229)) (not (= @t12 (tptp.cons @t229 tptp.nil))) (not (tptp.ssList @t228)) (not (forall @t96 (or @t131 (not (tptp.memberP @t228 @t91)) (not (tptp.lt @t229 @t91))))) (not (tptp.ssList @t227)) (not (= @t1 (tptp.app (tptp.app @t228 @t12) @t227))) (not (forall @t89 (or @t129 (not (tptp.memberP @t227 @t83)) (not (tptp.lt @t83 @t229))))))) @t214)) % 1.12/1.31 (define @t235 () (or @t217 @t113 @t234)) % 1.12/1.31 (define @t236 () (forall @t16 @t235)) % 1.12/1.31 (define @t237 () (or @t79 @t170 @t236)) % 1.12/1.31 (define @t238 () (or @t79 @t170 @t235)) % 1.12/1.31 (define @t239 () (or @t217 @t113 @t79 @t170 @t234)) % 1.12/1.31 (define @t240 () (or @t113 @t79 @t170 @t234)) % 1.12/1.31 (define @t241 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 1.12/1.31 (define @t242 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 1.12/1.31 (define @t243 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 1.12/1.31 (define @t244 () (@list @t243 @t242 @t241)) % 1.12/1.31 (define @t245 () (forall @t244 @t214)) % 1.12/1.31 (define @t246 () (not (forall @t89 (or @t129 (not (tptp.memberP @t241 @t83)) (not (tptp.lt @t83 @t243)))))) % 1.12/1.31 (define @t247 () (tptp.app (tptp.app @t242 @t12) @t241)) % 1.12/1.31 (define @t248 () (not (tptp.ssList @t241))) % 1.12/1.31 (define @t249 () (not (forall @t96 (or @t131 (not (tptp.memberP @t242 @t91)) (not (tptp.lt @t243 @t91)))))) % 1.12/1.31 (define @t250 () (not (tptp.ssList @t242))) % 1.12/1.31 (define @t251 () (not (= @t12 (tptp.cons @t243 tptp.nil)))) % 1.12/1.31 (define @t252 () (not (tptp.ssItem @t243))) % 1.12/1.31 (define @t253 () (or @t252 @t251 @t250 @t249 @t248 (not (= @t1 @t247)) @t246)) % 1.12/1.31 (define @t254 () (forall @t244 @t253)) % 1.12/1.31 (define @t255 () (@list @t243 @t242 @t241)) % 1.12/1.31 (define @t256 () (and @t254 @t245)) % 1.12/1.31 (define @t257 () (and @t253 @t214)) % 1.12/1.31 (define @t258 () (forall @t244 @t257)) % 1.12/1.31 (define @t259 () (or @t170 @t258)) % 1.12/1.31 (define @t260 () (or @t170 @t257)) % 1.12/1.31 (define @t261 () (not (= @t1 @t1))) % 1.12/1.31 (define @t262 () (or @t170 @t261 @t257)) % 1.12/1.31 (define @t263 () (or (not (= @t10 tptp.nil)) @t213)) % 1.12/1.31 (define @t264 () (or @t252 @t251 @t250 @t249 @t248 (not (= @t10 @t247)) @t246)) % 1.12/1.31 (define @t265 () (and @t264 @t263)) % 1.12/1.31 (define @t266 () (or @t114 @t115 @t114 @t265)) % 1.12/1.31 (define @t267 () (or @t115 @t114 @t265)) % 1.12/1.31 (define @t268 () (forall @t14 @t267)) % 1.12/1.31 (define @t269 () (forall @t244 @t268)) % 1.12/1.31 (define @t270 () (forall (@list @t243 @t242 @t241 @t10) @t267)) % 1.12/1.31 (define @t271 () (forall (@list @t10 @t243 @t242 @t241) @t267)) % 1.12/1.31 (define @t272 () (forall @t244 @t267)) % 1.12/1.31 (define @t273 () (forall @t244 @t263)) % 1.12/1.31 (define @t274 () (forall @t244 @t264)) % 1.12/1.31 (define @t275 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 1.12/1.31 (define @t276 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 1.12/1.31 (define @t277 () (and @t274 @t273)) % 1.12/1.31 (define @t278 () (forall @t244 @t265)) % 1.12/1.31 (define @t279 () (or @t115 @t114 @t278)) % 1.12/1.31 (define @t280 () (not @t84)) % 1.12/1.31 (define @t281 () (not (forall @t89 (or @t129 (not (tptp.memberP @t275 @t83)) @t280)))) % 1.12/1.31 (define @t282 () (not (= @t10 (tptp.app (tptp.app @t276 @t12) @t275)))) % 1.12/1.31 (define @t283 () (not (tptp.ssList @t275))) % 1.12/1.31 (define @t284 () (not @t92)) % 1.12/1.31 (define @t285 () (not (forall @t96 (or @t131 (not (tptp.memberP @t276 @t91)) @t284)))) % 1.12/1.31 (define @t286 () (not (tptp.ssList @t276))) % 1.12/1.31 (define @t287 () (not (= @t12 @t101))) % 1.12/1.31 (define @t288 () (not @t109)) % 1.12/1.31 (define @t289 () (or @t288 @t287 @t286 @t285 @t283 @t282 @t281)) % 1.12/1.31 (define @t290 () (@list @t38 @t276 @t275)) % 1.12/1.31 (define @t291 () (and (forall @t290 @t289) @t263)) % 1.12/1.31 (define @t292 () (or @t115 @t114 @t291)) % 1.12/1.31 (define @t293 () (forall @t14 @t292)) % 1.12/1.31 (define @t294 () (or @t113 @t79 @t293)) % 1.12/1.31 (define @t295 () (or @t113 @t79 @t292)) % 1.12/1.31 (define @t296 () (or @t115 @t114 @t113 @t291 @t79)) % 1.12/1.31 (define @t297 () (or @t286 @t285 @t283 @t282 @t281)) % 1.12/1.31 (define @t298 () (or @t288 @t287 @t297)) % 1.12/1.31 (define @t299 () (forall @t290 @t298)) % 1.12/1.31 (define @t300 () (@list @t276 @t275)) % 1.12/1.31 (define @t301 () (forall @t300 @t298)) % 1.12/1.31 (define @t302 () (forall @t300 @t297)) % 1.12/1.31 (define @t303 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 1.12/1.31 (define @t304 () (or @t288 @t287 @t302)) % 1.12/1.31 (define @t305 () (not (forall @t89 (or @t129 (not (tptp.memberP @t303 @t83)) @t280)))) % 1.12/1.31 (define @t306 () (not (= @t10 (tptp.app @t98 @t303)))) % 1.12/1.31 (define @t307 () (not (tptp.ssList @t303))) % 1.12/1.31 (define @t308 () (not @t93)) % 1.12/1.31 (define @t309 () (or @t131 @t308 @t284)) % 1.12/1.31 (define @t310 () (not (forall @t96 @t309))) % 1.12/1.31 (define @t311 () (not @t40)) % 1.12/1.31 (define @t312 () (or @t311 @t310 @t307 @t306 @t305)) % 1.12/1.31 (define @t313 () (@list @t37 @t303)) % 1.12/1.31 (define @t314 () (forall @t313 @t312)) % 1.12/1.31 (define @t315 () (or @t288 @t287 @t314)) % 1.12/1.31 (define @t316 () (or @t287 @t314)) % 1.12/1.31 (define @t317 () (or @t307 @t306 @t305)) % 1.12/1.31 (define @t318 () (or @t311 @t310 @t317)) % 1.12/1.31 (define @t319 () (forall @t313 @t318)) % 1.12/1.31 (define @t320 () (@list @t303)) % 1.12/1.31 (define @t321 () (forall @t320 @t318)) % 1.12/1.31 (define @t322 () (forall @t320 @t317)) % 1.12/1.31 (define @t323 () (or @t311 @t310 @t322)) % 1.12/1.31 (define @t324 () (not @t86)) % 1.12/1.31 (define @t325 () (or @t129 @t324 @t280)) % 1.12/1.31 (define @t326 () (not (forall @t89 @t325))) % 1.12/1.31 (define @t327 () (not (= @t10 @t99))) % 1.12/1.31 (define @t328 () (or @t103 @t327 @t326)) % 1.12/1.31 (define @t329 () (forall @t105 @t328)) % 1.12/1.31 (define @t330 () (or @t311 @t310 @t329)) % 1.12/1.31 (define @t331 () (forall @t41 @t330)) % 1.12/1.31 (define @t332 () (or @t287 @t331)) % 1.12/1.31 (define @t333 () (or @t287 @t330)) % 1.12/1.31 (define @t334 () (or @t311 @t287 @t310 @t329)) % 1.12/1.31 (define @t335 () (or @t287 @t310 @t329)) % 1.12/1.31 (define @t336 () (or @t287 @t310 @t328)) % 1.12/1.31 (define @t337 () (or @t103 @t287 @t327 @t310 @t326)) % 1.12/1.31 (define @t338 () (forall @t89 (not @t88))) % 1.12/1.31 (define @t339 () (not @t338)) % 1.12/1.31 (define @t340 () (forall @t96 (not @t95))) % 1.12/1.31 (define @t341 () (not @t340)) % 1.12/1.31 (define @t342 () (@quantifiers_skolemize @t137 2)) % 1.12/1.31 (define @t343 () (@quantifiers_skolemize @t137 4)) % 1.12/1.31 (define @t344 () (@quantifiers_skolemize @t137 3)) % 1.12/1.31 (define @t345 () (= @t138 (tptp.app (tptp.app @t344 @t140) @t343))) % 1.12/1.31 (define @t346 () (not @t345)) % 1.12/1.31 (define @t347 () (tptp.ssList @t343)) % 1.12/1.31 (define @t348 () (not @t347)) % 1.12/1.31 (define @t349 () (tptp.ssList @t344)) % 1.12/1.31 (define @t350 () (not @t349)) % 1.12/1.31 (define @t351 () (tptp.cons @t342 tptp.nil)) % 1.12/1.31 (define @t352 () (= @t140 @t351)) % 1.12/1.31 (define @t353 () (not @t352)) % 1.12/1.31 (define @t354 () (tptp.ssItem @t342)) % 1.12/1.31 (define @t355 () (not @t354)) % 1.12/1.31 (define @t356 () (or @t355 @t353 @t350 (not (forall @t96 (or @t131 (not (tptp.memberP @t344 @t91)) (not (tptp.lt @t342 @t91))))) @t348 @t346 (not (forall @t89 (or @t129 (not (tptp.memberP @t343 @t83)) (not (tptp.lt @t83 @t342))))))) % 1.12/1.31 (define @t357 () (and @t356 @t144)) % 1.12/1.31 (define @t358 () (and @t148 @t150)) % 1.12/1.31 (define @t359 () (tptp.ssList @t138)) % 1.12/1.31 (define @t360 () (not @t359)) % 1.12/1.31 (define @t361 () (tptp.ssList @t140)) % 1.12/1.31 (define @t362 () (not @t361)) % 1.12/1.31 (define @t363 () (or @t362 @t360 @t358 @t357)) % 1.12/1.31 (define @t364 () (not @t363)) % 1.12/1.31 (define @t365 () (not @t137)) % 1.12/1.31 (define @t366 () (not (= @t140 tptp.nil))) % 1.12/1.31 (define @t367 () (or @t143 @t366)) % 1.12/1.31 (define @t368 () (and @t356 @t367)) % 1.12/1.31 (define @t369 () (or @t362 @t360 @t358 @t368)) % 1.12/1.31 (define @t370 () (not @t369)) % 1.12/1.31 (define @t371 () (@list true)) % 1.12/1.31 (define @t372 () (@list @t363)) % 1.12/1.31 (define @t373 () (@list true false)) % 1.12/1.31 (define @t374 () (@list @t356)) % 1.12/1.31 (define @t375 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 1.12/1.31 (define @t376 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 1.12/1.31 (define @t377 () (not (tptp.ssList @t375))) % 1.12/1.31 (define @t378 () (@list @t12 @t375)) % 1.12/1.31 (define @t379 () (= (tptp.segmentP @t2 @t376) (not (forall @t378 (or @t217 @t377 (not (= @t2 (tptp.app (tptp.app @t12 @t376) @t375)))))))) % 1.12/1.31 (define @t380 () (not (tptp.ssList @t376))) % 1.12/1.31 (define @t381 () (or @t380 @t379)) % 1.12/1.31 (define @t382 () (or @t135 @t381)) % 1.12/1.31 (define @t383 () (forall (@list @t2 @t376) @t382)) % 1.12/1.31 (define @t384 () (@list @t376)) % 1.12/1.31 (define @t385 () (forall @t384 @t382)) % 1.12/1.31 (define @t386 () (forall @t384 @t381)) % 1.12/1.31 (define @t387 () (or @t135 @t386)) % 1.12/1.31 (define @t388 () (not (= @t2 (tptp.app @t22 @t375)))) % 1.12/1.31 (define @t389 () (or @t217 @t377 @t388)) % 1.12/1.31 (define @t390 () (= @t29 (not (forall @t378 @t389)))) % 1.12/1.31 (define @t391 () (forall @t7 (or @t170 @t390))) % 1.12/1.31 (define @t392 () (or @t377 @t388)) % 1.12/1.31 (define @t393 () (or @t217 @t392)) % 1.12/1.31 (define @t394 () (forall @t378 @t393)) % 1.12/1.31 (define @t395 () (@list @t375)) % 1.12/1.31 (define @t396 () (forall @t395 @t393)) % 1.12/1.31 (define @t397 () (forall @t395 @t392)) % 1.12/1.31 (define @t398 () (or @t217 @t397)) % 1.12/1.31 (define @t399 () (= @t2 @t24)) % 1.12/1.31 (define @t400 () (forall @t14 (or @t115 (not @t399)))) % 1.12/1.31 (define @t401 () (not @t400)) % 1.12/1.31 (define @t402 () (and @t15 @t401)) % 1.12/1.31 (define @t403 () (forall @t16 (not @t402))) % 1.12/1.31 (define @t404 () (not @t403)) % 1.12/1.31 (define @t405 () (and @t13 @t399)) % 1.12/1.31 (define @t406 () (forall @t14 (not @t405))) % 1.12/1.31 (define @t407 () (not @t406)) % 1.12/1.31 (define @t408 () (forall @t378 (or @t217 @t377 (not (= @t138 (tptp.app (tptp.app @t12 @t140) @t375)))))) % 1.12/1.31 (define @t409 () (not @t408)) % 1.12/1.31 (define @t410 () (= @t148 @t409)) % 1.12/1.31 (define @t411 () (or @t360 @t362 @t410)) % 1.12/1.31 (define @t412 () (@list false false false)) % 1.12/1.31 (define @t413 () (or @t350 @t348 @t346)) % 1.12/1.31 (define @t414 () (not @t413)) % 1.12/1.31 (define @t415 () (not @t410)) % 1.12/1.31 (define @t416 () (not @t150)) % 1.12/1.31 (define @t417 () (tptp.strictorderedP @t351)) % 1.12/1.31 (define @t418 () (not @t417)) % 1.12/1.31 (define @t419 () (and @t352 @t416)) % 1.12/1.31 (define @t420 () (or @t355 @t417)) % 1.12/1.31 (define @t421 () (not @t420)) % 1.12/1.31 (define @t422 () (forall @t9 (or (not @t8) @t75))) % 1.12/1.31 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.12/1.31 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.12/1.31 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 1.12/1.31 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.12/1.31 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.12/1.31 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.12/1.31 (assume @p7 @t34) % 1.12/1.31 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 1.12/1.31 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 1.12/1.31 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 1.12/1.31 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 1.12/1.31 (assume @p12 (forall @t9 (=> @t17 (= @t46 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 1.12/1.31 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t47)))))))))))))))) % 1.12/1.31 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t47))))))))))))) % 1.12/1.31 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.12/1.31 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 1.12/1.31 (assume @p17 @t49) % 1.12/1.31 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 1.12/1.31 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t50))))))))))) % 1.12/1.31 (assume @p20 (forall @t9 (=> @t17 (or @t52 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t51 @t2))))))))) % 1.12/1.31 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 1.12/1.31 (assume @p22 (forall @t9 (=> @t17 (=> @t54 (tptp.ssItem @t53))))) % 1.12/1.31 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 1.12/1.31 (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t55))))) % 1.12/1.31 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 1.12/1.31 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t56)))))) % 1.12/1.31 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t57) (tptp.app @t51 @t2))))))))) % 1.12/1.31 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.12/1.31 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 @t58) @t3)))))) % 1.12/1.31 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t59 @t36) (tptp.leq @t2 @t12))))))))) % 1.12/1.31 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.12/1.31 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t58)))))) % 1.12/1.31 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not @t61))))))) % 1.12/1.31 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t63)))))))) % 1.12/1.31 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 @t61)))))) % 1.12/1.31 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t65))))))))) % 1.12/1.31 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t65))))))))) % 1.12/1.31 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.12/1.31 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.12/1.31 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.12/1.31 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.12/1.31 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.12/1.31 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.12/1.31 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 1.12/1.31 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.12/1.31 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52)))) % 1.12/1.31 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.12/1.31 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.12/1.31 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.12/1.31 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t66 @t1))))))))) % 1.12/1.31 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.12/1.31 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52)))) % 1.12/1.31 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.12/1.31 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t67) @t3)))))) % 1.12/1.31 (assume @p55 @t69) % 1.12/1.31 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 1.12/1.31 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.12/1.31 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52)))) % 1.12/1.31 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t70)))) % 1.12/1.31 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.12/1.31 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t70)))) % 1.12/1.31 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.12/1.31 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t70)))) % 1.12/1.31 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.12/1.31 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t70)))) % 1.12/1.31 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.12/1.31 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t74) (or @t72 (and @t73 (tptp.totalorderedP @t1) (tptp.leq @t2 @t71))))))))) % 1.12/1.31 (assume @p68 @t76) % 1.12/1.31 (assume @p69 @t77) % 1.12/1.31 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t74) (or @t72 (and @t73 (tptp.strictorderedP @t1) (tptp.lt @t2 @t71))))))))) % 1.12/1.31 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t70)))) % 1.12/1.31 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.12/1.31 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t70)))) % 1.12/1.31 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.12/1.31 (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t53 @t1))))))) % 1.12/1.31 (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t55 @t1))))))) % 1.12/1.31 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t73 @t54 (= @t71 @t53) (= (tptp.tl @t1) @t55)) @t50)))))) % 1.12/1.31 (assume @p78 (forall @t9 (=> @t17 (=> @t54 (= (tptp.cons @t53 @t55) @t2))))) % 1.12/1.31 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t56) @t78)))))))) % 1.12/1.31 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t78)))))))) % 1.12/1.31 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 1.12/1.31 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t56 @t12) (tptp.app @t2 @t19))))))))) % 1.12/1.31 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t56) (and @t72 @t52))))))) % 1.12/1.31 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.12/1.31 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t56) @t53))))))) % 1.12/1.31 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t56) (tptp.app @t55 @t1)))))))) % 1.12/1.31 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 (tptp.geq @t1 @t2)) @t3)))))) % 1.12/1.31 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t60 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.12/1.31 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.12/1.31 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.12/1.31 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t59 @t45) @t63)))))))) % 1.12/1.31 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (or @t3 @t62))))))) % 1.12/1.31 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 (and @t4 @t59))))))) % 1.12/1.31 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not (tptp.gt @t1 @t2)))))))) % 1.12/1.31 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t64 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.12/1.31 (assume @p96 @t124) % 1.12/1.31 (assume @p97 true) % 1.12/1.31 (step @p98 :rule bool-impl-elim :args (@t8 @t75)) % 1.12/1.31 (step @p99 :rule cong :premises (@p98) :args (@t76)) % 1.12/1.31 (step @p100 :rule eq_resolve :premises (@p68 @p99)) % 1.12/1.31 (step @p101 :rule bool-double-not-elim :args (@t139)) % 1.12/1.31 (step @p102 :rule refl :args (@t144)) % 1.12/1.31 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t144 (not @t143)))) % 1.12/1.31 (step @p104 :rule cnf_or_neg :args (@t144 0)) % 1.12/1.31 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 1.12/1.31 (step @p106 :rule reordering :premises (@p105) :args ((or @t139 @t144))) % 1.12/1.31 (step @p107 :rule bool-double-not-elim :args (@t141)) % 1.12/1.31 (step @p108 :rule nary_cong :premises (@p102 @p107) :args ((or @t144 (not @t142)))) % 1.12/1.31 (step @p109 :rule cnf_or_neg :args (@t144 1)) % 1.12/1.31 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 1.12/1.31 (step @p111 :rule reordering :premises (@p110) :args ((or @t141 @t144))) % 1.12/1.31 (step @p112 :rule bool-impl-elim :args (@t17 @t68)) % 1.12/1.31 (step @p113 :rule cong :premises (@p112) :args (@t69)) % 1.12/1.31 (step @p114 :rule eq_resolve :premises (@p55 @p113)) % 1.12/1.31 (step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.nil))) % 1.12/1.31 (step @p116 :rule cnf_or_pos :args (@t147)) % 1.12/1.31 (step @p117 :rule reordering :premises (@p116) :args ((or @t146 @t145 (not @t147)))) % 1.12/1.31 (step @p118 :rule chain_m_resolution :premises (@p117 @p17 @p115) :args (@t145 (@list false false) (@list @t49 @t147))) % 1.12/1.31 (assume-push @p642 @t139) % 1.12/1.31 (assume-push @p643 @t141) % 1.12/1.31 (assume-push @p644 @t145) % 1.12/1.31 (assume-push @p645 @t145) % 1.12/1.31 (assume-push @p646 @t141) % 1.12/1.31 (assume-push @p647 @t139) % 1.12/1.31 (step @p125 :rule true_intro :premises (@p118)) % 1.12/1.31 (step @p126 :rule symm :premises (@p643)) % 1.12/1.31 (step @p127 :rule refl :args (tptp.nil)) % 1.12/1.31 (step @p128 :rule cong :premises (@p127 @p126) :args ((tptp.segmentP tptp.nil @t140))) % 1.12/1.31 (step @p129 :rule refl :args (@t140)) % 1.12/1.31 (step @p130 :rule symm :premises (@p642)) % 1.12/1.31 (step @p131 :rule cong :premises (@p130 @p129) :args (@t148)) % 1.12/1.31 (step @p132 :rule trans :premises (@p131 @p128 @p125)) % 1.12/1.31 (step @p133 :rule true_elim :premises (@p132)) % 1.12/1.31 (step-pop @p648 :rule scope :premises (@p133)) % 1.12/1.31 (step-pop @p649 :rule scope :premises (@p648)) % 1.12/1.31 (step-pop @p650 :rule scope :premises (@p649)) % 1.12/1.31 (step @p134 :rule process_scope :premises (@p650) :args (@t148)) % 1.12/1.31 (step @p138 :rule and_intro :premises (@p118 @p643 @p642)) % 1.12/1.31 (step @p139 :rule modus_ponens :premises (@p138 @p134)) % 1.12/1.31 (step-pop @p651 :rule scope :premises (@p139)) % 1.12/1.31 (step-pop @p652 :rule scope :premises (@p651)) % 1.12/1.31 (step-pop @p653 :rule scope :premises (@p652)) % 1.12/1.31 (step @p140 :rule process_scope :premises (@p653) :args (@t148)) % 1.12/1.31 (step @p144 :rule implies_elim :premises (@p140)) % 1.12/1.31 (step @p145 :rule cnf_and_neg :args (@t149)) % 1.12/1.31 (step @p146 :rule resolution :premises (@p145 @p144) :args (true @t149)) % 1.12/1.31 (step @p147 :rule reordering :premises (@p146) :args ((or @t148 @t143 @t142 (not @t145)))) % 1.12/1.31 (assume-push @p654 @t77) % 1.12/1.31 (assume-push @p655 @t141) % 1.12/1.31 (assume-push @p656 @t77) % 1.12/1.31 (assume-push @p657 @t141) % 1.12/1.31 (step @p152 :rule true_intro :premises (@p69)) % 1.12/1.31 (step @p153 :rule symm :premises (@p655)) % 1.12/1.31 (step @p154 :rule cong :premises (@p153) :args (@t150)) % 1.12/1.31 (step @p155 :rule trans :premises (@p154 @p152)) % 1.12/1.31 (step @p156 :rule true_elim :premises (@p155)) % 1.12/1.31 (step-pop @p658 :rule scope :premises (@p156)) % 1.12/1.31 (step-pop @p659 :rule scope :premises (@p658)) % 1.12/1.31 (step @p157 :rule process_scope :premises (@p659) :args (@t150)) % 1.12/1.31 (step @p160 :rule and_intro :premises (@p69 @p655)) % 1.12/1.31 (step @p161 :rule modus_ponens :premises (@p160 @p157)) % 1.12/1.31 (step-pop @p660 :rule scope :premises (@p161)) % 1.12/1.31 (step-pop @p661 :rule scope :premises (@p660)) % 1.12/1.31 (step @p162 :rule process_scope :premises (@p661) :args (@t150)) % 1.12/1.31 (step @p165 :rule implies_elim :premises (@p162)) % 1.12/1.31 (step @p166 :rule cnf_and_neg :args (@t151)) % 1.12/1.31 (step @p167 :rule resolution :premises (@p166 @p165) :args (true @t151)) % 1.12/1.31 (step @p168 :rule reordering :premises (@p167) :args ((or (not @t77) @t150 @t142))) % 1.12/1.31 (step @p169 :rule refl :args (@t125)) % 1.12/1.31 (step @p170 :rule eq-symm :args (@t126 tptp.nil)) % 1.12/1.31 (step @p171 :rule cong :premises (@p170) :args (@t152)) % 1.12/1.31 (step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t153)) % 1.12/1.31 (step @p173 :rule refl :args (@t132)) % 1.12/1.31 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t154)) % 1.12/1.31 (step @p175 :rule refl :args (@t133)) % 1.12/1.31 (step @p176 :rule refl :args (@t134)) % 1.12/1.31 (step @p177 :rule refl :args (@t135)) % 1.12/1.31 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175 @p174) :args (@t155)) % 1.12/1.31 (step @p179 :rule aci_norm :args ((= @t157 @t155))) % 1.12/1.31 (step @p180 :rule trans :premises (@p179 @p178)) % 1.12/1.31 (step @p181 :rule cong :premises (@p180) :args (@t158)) % 1.12/1.31 (step @p182 :rule quant-merge-prenex :args ((= (forall @t9 @t160) @t158))) % 1.12/1.31 (step @p183 :rule alpha_equiv :args (@t161 (@list @t126 @t127 @t130 @t128) (@list @t1 @t164 @t163 @t162))) % 1.12/1.31 (step @p184 :rule refl :args (@t135)) % 1.12/1.31 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t165)) % 1.12/1.31 (step @p186 :rule quant-miniscope-or :args ((= @t160 @t165))) % 1.12/1.31 (step @p187 :rule trans :premises (@p186 @p185)) % 1.12/1.31 (step @p188 :rule symm :premises (@p187)) % 1.12/1.31 (step @p189 :rule cong :premises (@p188) :args ((forall @t9 @t173))) % 1.12/1.31 (step @p190 :rule trans :premises (@p189 @p182)) % 1.12/1.31 (step @p191 :rule trans :premises (@p190 @p181)) % 1.12/1.31 (step @p192 :rule aci_norm :args ((= (or @t135 @t173) @t173))) % 1.12/1.31 (step @p193 :rule bool-impl-elim :args (@t17 @t173)) % 1.12/1.31 (step @p194 :rule trans :premises (@p193 @p192)) % 1.12/1.31 (step @p195 :rule cong :premises (@p194) :args ((forall @t9 (=> @t17 @t173)))) % 1.12/1.31 (step @p196 :rule trans :premises (@p195 @p191)) % 1.12/1.31 (step @p197 :rule quant-merge-prenex :args ((= (forall @t7 @t175) @t172))) % 1.12/1.31 (step @p198 :rule quant-unused-vars :args ((= @t176 @t167))) % 1.12/1.31 (step @p199 :rule alpha_equiv :args (@t177 (@list @t164 @t163 @t162) @t181)) % 1.12/1.31 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t182)) % 1.12/1.31 (step @p201 :rule quant-miniscope-and :args ((= @t183 @t182))) % 1.12/1.31 (step @p202 :rule trans :premises (@p201 @p200)) % 1.12/1.31 (step @p203 :rule refl :args (@t79)) % 1.12/1.31 (step @p204 :rule refl :args (@t170)) % 1.12/1.31 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t184)) % 1.12/1.31 (step @p206 :rule quant-miniscope-or :args ((= @t175 @t184))) % 1.12/1.31 (step @p207 :rule trans :premises (@p206 @p205)) % 1.12/1.31 (step @p208 :rule symm :premises (@p207)) % 1.12/1.31 (step @p209 :rule cong :premises (@p208) :args (@t187)) % 1.12/1.31 (step @p210 :rule trans :premises (@p209 @p197)) % 1.12/1.31 (step @p211 :rule nary_cong :premises (@p177 @p210) :args (@t188)) % 1.12/1.31 (step @p212 :rule quant-miniscope-or :args ((= (forall @t7 @t189) @t188))) % 1.12/1.31 (step @p213 :rule aci_norm :args ((= @t190 @t189))) % 1.12/1.31 (step @p214 :rule cong :premises (@p213) :args ((forall @t7 @t190))) % 1.12/1.31 (step @p215 :rule trans :premises (@p214 @p212)) % 1.12/1.31 (step @p216 :rule trans :premises (@p215 @p211)) % 1.12/1.31 (step @p217 :rule aci_norm :args ((= (or @t170 @t191) @t190))) % 1.12/1.31 (step @p218 :rule bool-impl-elim :args (@t21 @t191)) % 1.12/1.31 (step @p219 :rule trans :premises (@p218 @p217)) % 1.12/1.31 (step @p220 :rule cong :premises (@p219) :args ((forall @t7 (=> @t21 @t191)))) % 1.12/1.31 (step @p221 :rule trans :premises (@p220 @p216)) % 1.12/1.31 (step @p222 :rule aci_norm :args ((= (or @t79 @t170 (or @t135 @t185)) @t191))) % 1.12/1.31 (step @p223 :rule quant-unused-vars :args ((= @t196 @t167))) % 1.12/1.31 (step @p224 :rule alpha_equiv :args (@t204 @t205 @t181)) % 1.12/1.31 (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t206)) % 1.12/1.31 (step @p226 :rule quant-miniscope-and :args ((= @t208 @t206))) % 1.12/1.31 (step @p227 :rule trans :premises (@p226 @p225)) % 1.12/1.31 (step @p228 :rule nary_cong :premises (@p177 @p227) :args (@t209)) % 1.12/1.31 (step @p229 :rule quant-miniscope-or :args ((= (forall @t195 @t210) @t209))) % 1.12/1.31 (step @p230 :rule trans :premises (@p229 @p228)) % 1.12/1.31 (step @p231 :rule aci_norm :args ((= (or @t135 false @t207) @t210))) % 1.12/1.31 (step @p232 :rule refl :args (@t207)) % 1.12/1.31 (step @p233 :rule evaluate :args ((not true))) % 1.12/1.31 (step @p234 :rule eq-refl :args (@t2)) % 1.12/1.31 (step @p235 :rule cong :premises (@p234) :args (@t211)) % 1.12/1.31 (step @p236 :rule trans :premises (@p235 @p233)) % 1.12/1.31 (step @p237 :rule nary_cong :premises (@p177 @p236 @p232) :args (@t212)) % 1.12/1.31 (step @p238 :rule trans :premises (@p237 @p231)) % 1.12/1.31 (step @p239 :rule cong :premises (@p238) :args ((forall @t195 @t212))) % 1.12/1.31 (step @p240 :rule trans :premises (@p239 @p230)) % 1.12/1.31 (step @p241 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t78) @t217 @t113 @t216)) @t212))) % 1.12/1.31 (step @p242 :rule refl :args (@t216)) % 1.12/1.31 (step @p243 :rule refl :args (@t113)) % 1.12/1.31 (step @p244 :rule refl :args (@t217)) % 1.12/1.31 (step @p245 :rule eq-symm :args (@t2 @t12)) % 1.12/1.31 (step @p246 :rule cong :premises (@p245) :args (@t113)) % 1.12/1.31 (step @p247 :rule nary_cong :premises (@p246 @p244 @p243 @p242) :args (@t218)) % 1.12/1.31 (step @p248 :rule aci_norm :args ((= @t219 @t218))) % 1.12/1.31 (step @p249 :rule trans :premises (@p248 @p247)) % 1.12/1.31 (step @p250 :rule cong :premises (@p249) :args (@t220)) % 1.12/1.31 (step @p251 :rule trans :premises (@p250 @p241)) % 1.12/1.31 (step @p252 :rule cong :premises (@p251) :args (@t221)) % 1.12/1.31 (step @p253 :rule quant-merge-prenex :args ((= @t221 @t222))) % 1.12/1.31 (step @p254 :rule symm :premises (@p253)) % 1.12/1.31 (step @p255 :rule quant_var_reordering :args ((= @t223 @t222))) % 1.12/1.31 (step @p256 :rule trans :premises (@p255 @p254 @p252)) % 1.12/1.31 (step @p257 :rule trans :premises (@p256 @p240)) % 1.12/1.31 (step @p258 :rule quant-merge-prenex :args ((= (forall @t16 @t224) @t223))) % 1.12/1.31 (step @p259 :rule quant-unused-vars :args ((= @t225 @t214))) % 1.12/1.31 (step @p260 :rule alpha_equiv :args (@t226 @t205 @t230)) % 1.12/1.31 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t231)) % 1.12/1.31 (step @p262 :rule quant-miniscope-and :args ((= @t232 @t231))) % 1.12/1.31 (step @p263 :rule trans :premises (@p262 @p261)) % 1.12/1.31 (step @p264 :rule nary_cong :premises (@p244 @p243 @p263) :args (@t233)) % 1.12/1.31 (step @p265 :rule quant-miniscope-or :args ((= @t224 @t233))) % 1.12/1.31 (step @p266 :rule trans :premises (@p265 @p264)) % 1.12/1.31 (step @p267 :rule symm :premises (@p266)) % 1.12/1.31 (step @p268 :rule cong :premises (@p267) :args (@t236)) % 1.12/1.31 (step @p269 :rule trans :premises (@p268 @p258)) % 1.12/1.31 (step @p270 :rule trans :premises (@p269 @p257)) % 1.12/1.31 (step @p271 :rule refl :args (@t170)) % 1.12/1.31 (step @p272 :rule refl :args (@t79)) % 1.12/1.31 (step @p273 :rule nary_cong :premises (@p272 @p271 @p270) :args (@t237)) % 1.12/1.31 (step @p274 :rule trans :premises (@p273 @p222)) % 1.12/1.31 (step @p275 :rule quant-miniscope-or :args ((= (forall @t16 @t238) @t237))) % 1.12/1.31 (step @p276 :rule aci_norm :args ((= @t239 @t238))) % 1.12/1.31 (step @p277 :rule cong :premises (@p276) :args ((forall @t16 @t239))) % 1.12/1.31 (step @p278 :rule trans :premises (@p277 @p275)) % 1.12/1.31 (step @p279 :rule trans :premises (@p278 @p274)) % 1.12/1.31 (step @p280 :rule aci_norm :args ((= (or @t217 @t240) @t239))) % 1.12/1.31 (step @p281 :rule bool-impl-elim :args (@t15 @t240)) % 1.12/1.31 (step @p282 :rule trans :premises (@p281 @p280)) % 1.12/1.31 (step @p283 :rule cong :premises (@p282) :args ((forall @t16 (=> @t15 @t240)))) % 1.12/1.31 (step @p284 :rule trans :premises (@p283 @p279)) % 1.12/1.31 (step @p285 :rule aci_norm :args ((= (or @t113 @t79 (or @t170 @t234)) @t240))) % 1.12/1.31 (step @p286 :rule quant-unused-vars :args ((= @t245 @t214))) % 1.12/1.31 (step @p287 :rule alpha_equiv :args (@t254 @t255 @t230)) % 1.12/1.31 (step @p288 :rule nary_cong :premises (@p287 @p286) :args (@t256)) % 1.12/1.31 (step @p289 :rule quant-miniscope-and :args ((= @t258 @t256))) % 1.12/1.31 (step @p290 :rule trans :premises (@p289 @p288)) % 1.12/1.31 (step @p291 :rule nary_cong :premises (@p271 @p290) :args (@t259)) % 1.12/1.31 (step @p292 :rule quant-miniscope-or :args ((= (forall @t244 @t260) @t259))) % 1.12/1.31 (step @p293 :rule trans :premises (@p292 @p291)) % 1.12/1.31 (step @p294 :rule aci_norm :args ((= (or @t170 false @t257) @t260))) % 1.12/1.31 (step @p295 :rule refl :args (@t257)) % 1.12/1.31 (step @p296 :rule eq-refl :args (@t1)) % 1.12/1.31 (step @p297 :rule cong :premises (@p296) :args (@t261)) % 1.12/1.31 (step @p298 :rule trans :premises (@p297 @p233)) % 1.12/1.31 (step @p299 :rule nary_cong :premises (@p271 @p298 @p295) :args (@t262)) % 1.12/1.31 (step @p300 :rule trans :premises (@p299 @p294)) % 1.12/1.31 (step @p301 :rule cong :premises (@p300) :args ((forall @t244 @t262))) % 1.12/1.31 (step @p302 :rule trans :premises (@p301 @p293)) % 1.12/1.31 (step @p303 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t115 @t114 @t265)) @t262))) % 1.12/1.31 (step @p304 :rule refl :args (@t265)) % 1.12/1.31 (step @p305 :rule refl :args (@t114)) % 1.12/1.31 (step @p306 :rule refl :args (@t115)) % 1.12/1.31 (step @p307 :rule eq-symm :args (@t1 @t10)) % 1.12/1.31 (step @p308 :rule cong :premises (@p307) :args (@t114)) % 1.12/1.31 (step @p309 :rule nary_cong :premises (@p308 @p306 @p305 @p304) :args (@t266)) % 1.12/1.31 (step @p310 :rule aci_norm :args ((= @t267 @t266))) % 1.12/1.31 (step @p311 :rule trans :premises (@p310 @p309)) % 1.12/1.31 (step @p312 :rule cong :premises (@p311) :args (@t268)) % 1.12/1.31 (step @p313 :rule trans :premises (@p312 @p303)) % 1.12/1.31 (step @p314 :rule cong :premises (@p313) :args (@t269)) % 1.12/1.31 (step @p315 :rule quant-merge-prenex :args ((= @t269 @t270))) % 1.12/1.31 (step @p316 :rule symm :premises (@p315)) % 1.12/1.31 (step @p317 :rule quant_var_reordering :args ((= @t271 @t270))) % 1.12/1.31 (step @p318 :rule trans :premises (@p317 @p316 @p314)) % 1.12/1.31 (step @p319 :rule trans :premises (@p318 @p302)) % 1.12/1.31 (step @p320 :rule quant-merge-prenex :args ((= (forall @t14 @t272) @t271))) % 1.12/1.31 (step @p321 :rule quant-unused-vars :args ((= @t273 @t263))) % 1.12/1.31 (step @p322 :rule alpha_equiv :args (@t274 @t255 (@list @t38 @t276 @t275))) % 1.12/1.31 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t277)) % 1.12/1.31 (step @p324 :rule quant-miniscope-and :args ((= @t278 @t277))) % 1.12/1.31 (step @p325 :rule trans :premises (@p324 @p323)) % 1.12/1.31 (step @p326 :rule nary_cong :premises (@p306 @p305 @p325) :args (@t279)) % 1.12/1.31 (step @p327 :rule quant-miniscope-or :args ((= @t272 @t279))) % 1.12/1.31 (step @p328 :rule trans :premises (@p327 @p326)) % 1.12/1.31 (step @p329 :rule symm :premises (@p328)) % 1.12/1.31 (step @p330 :rule cong :premises (@p329) :args (@t293)) % 1.12/1.31 (step @p331 :rule trans :premises (@p330 @p320)) % 1.12/1.31 (step @p332 :rule trans :premises (@p331 @p319)) % 1.12/1.31 (step @p333 :rule refl :args (@t113)) % 1.12/1.31 (step @p334 :rule nary_cong :premises (@p333 @p272 @p332) :args (@t294)) % 1.12/1.31 (step @p335 :rule trans :premises (@p334 @p285)) % 1.12/1.31 (step @p336 :rule quant-miniscope-or :args ((= (forall @t14 @t295) @t294))) % 1.12/1.31 (step @p337 :rule aci_norm :args ((= @t296 @t295))) % 1.12/1.31 (step @p338 :rule cong :premises (@p337) :args ((forall @t14 @t296))) % 1.12/1.31 (step @p339 :rule trans :premises (@p338 @p336)) % 1.12/1.31 (step @p340 :rule trans :premises (@p339 @p335)) % 1.12/1.31 (step @p341 :rule eq-symm :args (tptp.nil @t12)) % 1.12/1.31 (step @p342 :rule cong :premises (@p341) :args (@t80)) % 1.12/1.31 (step @p343 :rule eq-symm :args (tptp.nil @t10)) % 1.12/1.31 (step @p344 :rule cong :premises (@p343) :args (@t81)) % 1.12/1.31 (step @p345 :rule nary_cong :premises (@p344 @p342) :args (@t82)) % 1.12/1.31 (step @p346 :rule aci_norm :args ((= @t298 @t289))) % 1.12/1.31 (step @p347 :rule cong :premises (@p346) :args (@t299)) % 1.12/1.31 (step @p348 :rule quant-merge-prenex :args ((= (forall @t43 @t301) @t299))) % 1.12/1.31 (step @p349 :rule alpha_equiv :args (@t302 (@list @t276 @t275) (@list @t37 @t303))) % 1.12/1.31 (step @p350 :rule refl :args (@t287)) % 1.12/1.31 (step @p351 :rule refl :args (@t288)) % 1.12/1.31 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349) :args (@t304)) % 1.12/1.31 (step @p353 :rule quant-miniscope-or :args ((= @t301 @t304))) % 1.12/1.31 (step @p354 :rule trans :premises (@p353 @p352)) % 1.12/1.31 (step @p355 :rule symm :premises (@p354)) % 1.12/1.31 (step @p356 :rule cong :premises (@p355) :args ((forall @t43 @t315))) % 1.12/1.31 (step @p357 :rule trans :premises (@p356 @p348)) % 1.12/1.31 (step @p358 :rule trans :premises (@p357 @p347)) % 1.12/1.31 (step @p359 :rule aci_norm :args ((= (or @t288 @t316) @t315))) % 1.12/1.31 (step @p360 :rule bool-impl-elim :args (@t109 @t316)) % 1.12/1.31 (step @p361 :rule trans :premises (@p360 @p359)) % 1.12/1.31 (step @p362 :rule cong :premises (@p361) :args ((forall @t43 (=> @t109 @t316)))) % 1.12/1.31 (step @p363 :rule trans :premises (@p362 @p358)) % 1.12/1.31 (step @p364 :rule aci_norm :args ((= @t318 @t312))) % 1.12/1.31 (step @p365 :rule cong :premises (@p364) :args (@t319)) % 1.12/1.31 (step @p366 :rule quant-merge-prenex :args ((= (forall @t41 @t321) @t319))) % 1.12/1.31 (step @p367 :rule alpha_equiv :args (@t322 (@list @t303) (@list @t85))) % 1.12/1.31 (step @p368 :rule refl :args (@t310)) % 1.12/1.31 (step @p369 :rule refl :args (@t311)) % 1.12/1.31 (step @p370 :rule nary_cong :premises (@p369 @p368 @p367) :args (@t323)) % 1.12/1.31 (step @p371 :rule quant-miniscope-or :args ((= @t321 @t323))) % 1.12/1.31 (step @p372 :rule trans :premises (@p371 @p370)) % 1.12/1.31 (step @p373 :rule symm :premises (@p372)) % 1.12/1.31 (step @p374 :rule cong :premises (@p373) :args (@t331)) % 1.12/1.31 (step @p375 :rule trans :premises (@p374 @p366)) % 1.12/1.31 (step @p376 :rule trans :premises (@p375 @p365)) % 1.12/1.31 (step @p377 :rule refl :args (@t287)) % 1.12/1.31 (step @p378 :rule nary_cong :premises (@p377 @p376) :args (@t332)) % 1.12/1.31 (step @p379 :rule quant-miniscope-or :args ((= (forall @t41 @t333) @t332))) % 1.12/1.31 (step @p380 :rule aci_norm :args ((= @t334 @t333))) % 1.12/1.31 (step @p381 :rule cong :premises (@p380) :args ((forall @t41 @t334))) % 1.12/1.31 (step @p382 :rule trans :premises (@p381 @p379)) % 1.12/1.31 (step @p383 :rule trans :premises (@p382 @p378)) % 1.12/1.31 (step @p384 :rule aci_norm :args ((= (or @t311 @t335) @t334))) % 1.12/1.31 (step @p385 :rule bool-impl-elim :args (@t40 @t335)) % 1.12/1.31 (step @p386 :rule trans :premises (@p385 @p384)) % 1.12/1.31 (step @p387 :rule cong :premises (@p386) :args ((forall @t41 (=> @t40 @t335)))) % 1.12/1.31 (step @p388 :rule trans :premises (@p387 @p383)) % 1.12/1.31 (step @p389 :rule quant-miniscope-or :args ((= (forall @t105 @t336) @t335))) % 1.12/1.31 (step @p390 :rule aci_norm :args ((= @t337 @t336))) % 1.12/1.31 (step @p391 :rule cong :premises (@p390) :args ((forall @t105 @t337))) % 1.12/1.31 (step @p392 :rule trans :premises (@p391 @p389)) % 1.12/1.31 (step @p393 :rule aci_norm :args ((= (or @t129 (or @t324 @t280)) @t325))) % 1.12/1.31 (step @p394 :rule bool-and-de-morgan :args (@t86 @t84 true)) % 1.12/1.31 (step @p395 :rule refl :args (@t129)) % 1.12/1.31 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t129 (not (and @t86 @t84))))) % 1.12/1.31 (step @p397 :rule bool-and-de-morgan :args (@t87 @t86 (and @t84))) % 1.12/1.31 (step @p398 :rule trans :premises (@p397 @p396)) % 1.12/1.31 (step @p399 :rule trans :premises (@p398 @p393)) % 1.12/1.31 (step @p400 :rule cong :premises (@p399) :args (@t338)) % 1.12/1.31 (step @p401 :rule cong :premises (@p400) :args (@t339)) % 1.12/1.31 (step @p402 :rule exists-elim :args ((= @t90 @t339))) % 1.12/1.31 (step @p403 :rule trans :premises (@p402 @p401)) % 1.12/1.31 (step @p404 :rule aci_norm :args ((= (or @t131 (or @t308 @t284)) @t309))) % 1.12/1.31 (step @p405 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 1.12/1.31 (step @p406 :rule refl :args (@t131)) % 1.12/1.31 (step @p407 :rule nary_cong :premises (@p406 @p405) :args ((or @t131 (not (and @t93 @t92))))) % 1.12/1.31 (step @p408 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92))) % 1.12/1.31 (step @p409 :rule trans :premises (@p408 @p407)) % 1.12/1.31 (step @p410 :rule trans :premises (@p409 @p404)) % 1.12/1.31 (step @p411 :rule cong :premises (@p410) :args (@t340)) % 1.12/1.31 (step @p412 :rule cong :premises (@p411) :args (@t341)) % 1.12/1.31 (step @p413 :rule exists-elim :args ((= @t97 @t341))) % 1.12/1.31 (step @p414 :rule trans :premises (@p413 @p412)) % 1.12/1.31 (step @p415 :rule eq-symm :args (@t99 @t10)) % 1.12/1.31 (step @p416 :rule cong :premises (@p415) :args (@t100)) % 1.12/1.31 (step @p417 :rule eq-symm :args (@t101 @t12)) % 1.12/1.31 (step @p418 :rule cong :premises (@p417) :args (@t102)) % 1.12/1.31 (step @p419 :rule refl :args (@t103)) % 1.12/1.31 (step @p420 :rule nary_cong :premises (@p419 @p418 @p416 @p414 @p403) :args (@t104)) % 1.12/1.31 (step @p421 :rule cong :premises (@p420) :args (@t106)) % 1.12/1.31 (step @p422 :rule trans :premises (@p421 @p392)) % 1.12/1.31 (step @p423 :rule refl :args (@t40)) % 1.12/1.31 (step @p424 :rule cong :premises (@p423 @p422) :args (@t107)) % 1.12/1.31 (step @p425 :rule cong :premises (@p424) :args (@t108)) % 1.12/1.31 (step @p426 :rule trans :premises (@p425 @p388)) % 1.12/1.31 (step @p427 :rule refl :args (@t109)) % 1.12/1.31 (step @p428 :rule cong :premises (@p427 @p426) :args (@t110)) % 1.12/1.31 (step @p429 :rule cong :premises (@p428) :args (@t111)) % 1.12/1.31 (step @p430 :rule trans :premises (@p429 @p363)) % 1.12/1.31 (step @p431 :rule nary_cong :premises (@p430 @p345) :args (@t112)) % 1.12/1.31 (step @p432 :rule refl :args (@t114)) % 1.12/1.31 (step @p433 :rule refl :args (@t115)) % 1.12/1.31 (step @p434 :rule nary_cong :premises (@p433 @p432 @p333 @p431 @p272) :args (@t116)) % 1.12/1.31 (step @p435 :rule cong :premises (@p434) :args (@t117)) % 1.12/1.31 (step @p436 :rule trans :premises (@p435 @p340)) % 1.12/1.31 (step @p437 :rule refl :args (@t15)) % 1.12/1.31 (step @p438 :rule cong :premises (@p437 @p436) :args (@t118)) % 1.12/1.31 (step @p439 :rule cong :premises (@p438) :args (@t119)) % 1.12/1.31 (step @p440 :rule trans :premises (@p439 @p284)) % 1.12/1.31 (step @p441 :rule refl :args (@t21)) % 1.12/1.31 (step @p442 :rule cong :premises (@p441 @p440) :args (@t120)) % 1.12/1.31 (step @p443 :rule cong :premises (@p442) :args (@t121)) % 1.12/1.31 (step @p444 :rule trans :premises (@p443 @p221)) % 1.12/1.31 (step @p445 :rule refl :args (@t17)) % 1.12/1.31 (step @p446 :rule cong :premises (@p445 @p444) :args (@t122)) % 1.12/1.31 (step @p447 :rule cong :premises (@p446) :args (@t123)) % 1.12/1.31 (step @p448 :rule trans :premises (@p447 @p196)) % 1.12/1.31 (step @p449 :rule cong :premises (@p448) :args (@t124)) % 1.12/1.31 (step @p450 :rule eq_resolve :premises (@p96 @p449)) % 1.12/1.31 (step @p451 :rule refl :args (@t364)) % 1.12/1.31 (step @p452 :rule bool-double-not-elim :args (@t137)) % 1.12/1.31 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or (not @t365) @t364))) % 1.12/1.31 (step @p454 :rule eq-symm :args (@t140 tptp.nil)) % 1.12/1.31 (step @p455 :rule cong :premises (@p454) :args (@t366)) % 1.12/1.31 (step @p456 :rule refl :args (@t143)) % 1.12/1.31 (step @p457 :rule nary_cong :premises (@p456 @p455) :args (@t367)) % 1.12/1.31 (step @p458 :rule refl :args (@t356)) % 1.12/1.31 (step @p459 :rule nary_cong :premises (@p458 @p457) :args (@t368)) % 1.12/1.31 (step @p460 :rule refl :args (@t358)) % 1.12/1.31 (step @p461 :rule refl :args (@t360)) % 1.12/1.31 (step @p462 :rule refl :args (@t362)) % 1.12/1.31 (step @p463 :rule nary_cong :premises (@p462 @p461 @p460 @p459) :args (@t369)) % 1.12/1.31 (step @p464 :rule cong :premises (@p463) :args (@t370)) % 1.12/1.31 (step @p465 :rule refl :args (@t365)) % 1.12/1.31 (step @p466 :rule cong :premises (@p465 @p464) :args ((=> @t365 @t370))) % 1.12/1.31 (assume-push @p662 @t365) % 1.12/1.31 (step @p468 :rule skolemize :premises (@p450)) % 1.12/1.31 (step-pop @p663 :rule scope :premises (@p468)) % 1.12/1.31 (step @p469 :rule process_scope :premises (@p663) :args (@t370)) % 1.12/1.31 (step @p471 :rule eq_resolve :premises (@p469 @p466)) % 1.12/1.31 (step @p472 :rule implies_elim :premises (@p471)) % 1.12/1.31 (step @p473 :rule eq_resolve :premises (@p472 @p453)) % 1.12/1.31 (step @p474 :rule chain_m_resolution :premises (@p473 @p450) :args (@t364 @t371 (@list @t137))) % 1.12/1.31 (step @p475 :rule cnf_or_neg :args (@t363 2)) % 1.12/1.31 (step @p476 :rule chain_m_resolution :premises (@p475 @p474) :args ((not @t358) @t371 @t372)) % 1.12/1.31 (step @p477 :rule cnf_and_neg :args (@t358)) % 1.12/1.31 (step @p478 :rule chain_m_resolution :premises (@p477 @p476 @p168 @p69 @p147 @p118 @p111 @p106) :args (@t144 (@list true false false false false false false) (@list @t358 @t150 @t77 @t148 @t145 @t141 @t139))) % 1.12/1.31 (step @p479 :rule cnf_or_neg :args (@t363 3)) % 1.12/1.31 (step @p480 :rule chain_m_resolution :premises (@p479 @p474) :args ((not @t357) @t371 @t372)) % 1.12/1.31 (step @p481 :rule cnf_and_neg :args (@t357)) % 1.12/1.31 (step @p482 :rule chain_m_resolution :premises (@p481 @p480 @p478) :args ((not @t356) @t373 (@list @t357 @t144))) % 1.12/1.31 (step @p483 :rule bool-double-not-elim :args (@t352)) % 1.12/1.31 (step @p484 :rule nary_cong :premises (@p458 @p483) :args ((or @t356 (not @t353)))) % 1.12/1.31 (step @p485 :rule cnf_or_neg :args (@t356 1)) % 1.12/1.31 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 1.12/1.31 (step @p487 :rule reordering :premises (@p486) :args ((or @t352 @t356))) % 1.12/1.31 (step @p488 :rule chain_m_resolution :premises (@p487 @p482) :args (@t352 @t371 @t374)) % 1.12/1.31 (step @p489 :rule aci_norm :args ((= @t382 (or @t135 @t380 @t379)))) % 1.12/1.31 (step @p490 :rule cong :premises (@p489) :args (@t383)) % 1.12/1.31 (step @p491 :rule quant-merge-prenex :args ((= (forall @t9 @t385) @t383))) % 1.12/1.31 (step @p492 :rule alpha_equiv :args (@t386 (@list @t376) (@list @t1))) % 1.12/1.31 (step @p493 :rule nary_cong :premises (@p184 @p492) :args (@t387)) % 1.12/1.31 (step @p494 :rule quant-miniscope-or :args ((= @t385 @t387))) % 1.12/1.31 (step @p495 :rule trans :premises (@p494 @p493)) % 1.12/1.31 (step @p496 :rule symm :premises (@p495)) % 1.12/1.31 (step @p497 :rule cong :premises (@p496) :args ((forall @t9 (or @t135 @t391)))) % 1.12/1.31 (step @p498 :rule trans :premises (@p497 @p491)) % 1.12/1.31 (step @p499 :rule trans :premises (@p498 @p490)) % 1.12/1.31 (step @p500 :rule bool-impl-elim :args (@t17 @t391)) % 1.12/1.31 (step @p501 :rule cong :premises (@p500) :args ((forall @t9 (=> @t17 @t391)))) % 1.12/1.31 (step @p502 :rule trans :premises (@p501 @p499)) % 1.12/1.31 (step @p503 :rule bool-impl-elim :args (@t21 @t390)) % 1.12/1.31 (step @p504 :rule cong :premises (@p503) :args ((forall @t7 (=> @t21 @t390)))) % 1.12/1.31 (step @p505 :rule aci_norm :args ((= @t393 @t389))) % 1.12/1.31 (step @p506 :rule cong :premises (@p505) :args (@t394)) % 1.12/1.31 (step @p507 :rule quant-merge-prenex :args ((= (forall @t16 @t396) @t394))) % 1.12/1.31 (step @p508 :rule alpha_equiv :args (@t397 (@list @t375) (@list @t10))) % 1.12/1.31 (step @p509 :rule nary_cong :premises (@p244 @p508) :args (@t398)) % 1.12/1.31 (step @p510 :rule quant-miniscope-or :args ((= @t396 @t398))) % 1.12/1.31 (step @p511 :rule trans :premises (@p510 @p509)) % 1.12/1.31 (step @p512 :rule symm :premises (@p511)) % 1.12/1.31 (step @p513 :rule cong :premises (@p512) :args ((forall @t16 (or @t217 @t400)))) % 1.12/1.31 (step @p514 :rule trans :premises (@p513 @p507)) % 1.12/1.31 (step @p515 :rule trans :premises (@p514 @p506)) % 1.12/1.31 (step @p516 :rule bool-double-not-elim :args (@t400)) % 1.12/1.31 (step @p517 :rule nary_cong :premises (@p244 @p516) :args ((or @t217 (not @t401)))) % 1.12/1.31 (step @p518 :rule bool-and-de-morgan :args (@t15 @t401 true)) % 1.12/1.31 (step @p519 :rule trans :premises (@p518 @p517)) % 1.12/1.31 (step @p520 :rule cong :premises (@p519) :args (@t403)) % 1.12/1.31 (step @p521 :rule trans :premises (@p520 @p515)) % 1.12/1.31 (step @p522 :rule cong :premises (@p521) :args (@t404)) % 1.12/1.31 (step @p523 :rule exists-elim :args ((= (exists @t16 @t402) @t404))) % 1.12/1.31 (step @p524 :rule trans :premises (@p523 @p522)) % 1.12/1.31 (step @p525 :rule bool-and-de-morgan :args (@t13 @t399 true)) % 1.12/1.31 (step @p526 :rule cong :premises (@p525) :args (@t406)) % 1.12/1.31 (step @p527 :rule cong :premises (@p526) :args (@t407)) % 1.12/1.31 (step @p528 :rule exists-elim :args ((= (exists @t14 @t405) @t407))) % 1.12/1.31 (step @p529 :rule trans :premises (@p528 @p527)) % 1.12/1.31 (step @p530 :rule eq-symm :args (@t24 @t2)) % 1.12/1.31 (step @p531 :rule refl :args (@t13)) % 1.12/1.31 (step @p532 :rule nary_cong :premises (@p531 @p530) :args (@t25)) % 1.12/1.31 (step @p533 :rule cong :premises (@p532) :args (@t26)) % 1.12/1.31 (step @p534 :rule trans :premises (@p533 @p529)) % 1.12/1.31 (step @p535 :rule nary_cong :premises (@p437 @p534) :args (@t27)) % 1.12/1.31 (step @p536 :rule cong :premises (@p535) :args (@t28)) % 1.12/1.31 (step @p537 :rule trans :premises (@p536 @p524)) % 1.12/1.31 (step @p538 :rule refl :args (@t29)) % 1.12/1.31 (step @p539 :rule cong :premises (@p538 @p537) :args (@t30)) % 1.12/1.31 (step @p540 :rule cong :premises (@p441 @p539) :args (@t31)) % 1.12/1.31 (step @p541 :rule cong :premises (@p540) :args (@t32)) % 1.12/1.31 (step @p542 :rule trans :premises (@p541 @p504)) % 1.12/1.31 (step @p543 :rule cong :premises (@p445 @p542) :args (@t33)) % 1.12/1.31 (step @p544 :rule cong :premises (@p543) :args (@t34)) % 1.12/1.31 (step @p545 :rule trans :premises (@p544 @p502)) % 1.12/1.31 (step @p546 :rule eq_resolve :premises (@p7 @p545)) % 1.12/1.31 (step @p547 :rule instantiate :premises (@p546) :args ((@list @t138 @t140))) % 1.12/1.31 (step @p548 :rule bool-double-not-elim :args (@t359)) % 1.12/1.31 (step @p549 :rule refl :args (@t363)) % 1.12/1.31 (step @p550 :rule nary_cong :premises (@p549 @p548) :args ((or @t363 (not @t360)))) % 1.12/1.31 (step @p551 :rule cnf_or_neg :args (@t363 1)) % 1.12/1.31 (step @p552 :rule eq_resolve :premises (@p551 @p550)) % 1.12/1.31 (step @p553 :rule reordering :premises (@p552) :args ((or @t359 @t363))) % 1.12/1.31 (step @p554 :rule chain_m_resolution :premises (@p553 @p474) :args (@t359 @t371 @t372)) % 1.12/1.31 (step @p555 :rule bool-double-not-elim :args (@t361)) % 1.12/1.31 (step @p556 :rule nary_cong :premises (@p549 @p555) :args ((or @t363 (not @t362)))) % 1.12/1.31 (step @p557 :rule cnf_or_neg :args (@t363 0)) % 1.12/1.31 (step @p558 :rule eq_resolve :premises (@p557 @p556)) % 1.12/1.31 (step @p559 :rule reordering :premises (@p558) :args ((or @t361 @t363))) % 1.12/1.31 (step @p560 :rule chain_m_resolution :premises (@p559 @p474) :args (@t361 @t371 @t372)) % 1.12/1.31 (step @p561 :rule cnf_or_pos :args (@t411)) % 1.12/1.31 (step @p562 :rule reordering :premises (@p561) :args ((or @t362 @t360 @t410 (not @t411)))) % 1.12/1.31 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p554 @p547) :args (@t410 @t412 (@list @t361 @t359 @t411))) % 1.12/1.31 (step @p564 :rule bool-double-not-elim :args (@t345)) % 1.12/1.31 (step @p565 :rule nary_cong :premises (@p458 @p564) :args ((or @t356 (not @t346)))) % 1.12/1.31 (step @p566 :rule cnf_or_neg :args (@t356 5)) % 1.12/1.31 (step @p567 :rule eq_resolve :premises (@p566 @p565)) % 1.12/1.31 (step @p568 :rule reordering :premises (@p567) :args ((or @t345 @t356))) % 1.12/1.31 (step @p569 :rule chain_m_resolution :premises (@p568 @p482) :args (@t345 @t371 @t374)) % 1.12/1.31 (step @p570 :rule bool-double-not-elim :args (@t347)) % 1.12/1.31 (step @p571 :rule nary_cong :premises (@p458 @p570) :args ((or @t356 (not @t348)))) % 1.12/1.31 (step @p572 :rule cnf_or_neg :args (@t356 4)) % 1.12/1.31 (step @p573 :rule eq_resolve :premises (@p572 @p571)) % 1.12/1.31 (step @p574 :rule reordering :premises (@p573) :args ((or @t347 @t356))) % 1.12/1.31 (step @p575 :rule chain_m_resolution :premises (@p574 @p482) :args (@t347 @t371 @t374)) % 1.12/1.31 (step @p576 :rule bool-double-not-elim :args (@t349)) % 1.12/1.31 (step @p577 :rule nary_cong :premises (@p458 @p576) :args ((or @t356 (not @t350)))) % 1.12/1.31 (step @p578 :rule cnf_or_neg :args (@t356 2)) % 1.12/1.31 (step @p579 :rule eq_resolve :premises (@p578 @p577)) % 1.12/1.31 (step @p580 :rule reordering :premises (@p579) :args ((or @t349 @t356))) % 1.12/1.31 (step @p581 :rule chain_m_resolution :premises (@p580 @p482) :args (@t349 @t371 @t374)) % 1.12/1.31 (step @p582 :rule cnf_or_pos :args (@t413)) % 1.12/1.31 (step @p583 :rule reordering :premises (@p582) :args ((or @t350 @t348 @t346 @t414))) % 1.12/1.31 (step @p584 :rule chain_m_resolution :premises (@p583 @p581 @p575 @p569) :args (@t414 @t412 (@list @t349 @t347 @t345))) % 1.12/1.31 (assume-push @p664 @t408) % 1.12/1.31 (step @p586 :rule instantiate :premises (@p664) :args ((@list @t344 @t343))) % 1.12/1.31 (step-pop @p665 :rule scope :premises (@p586)) % 1.12/1.31 (step @p587 :rule process_scope :premises (@p665) :args (@t413)) % 1.12/1.31 (step @p589 :rule implies_elim :premises (@p587)) % 1.12/1.31 (step @p590 :rule chain_m_resolution :premises (@p589 @p584) :args (@t409 @t371 (@list @t413))) % 1.12/1.31 (step @p591 :rule bool-double-not-elim :args (@t408)) % 1.12/1.31 (step @p592 :rule refl :args (@t148)) % 1.12/1.31 (step @p593 :rule refl :args (@t415)) % 1.12/1.31 (step @p594 :rule nary_cong :premises (@p593 @p592 @p591) :args ((or @t415 @t148 (not @t409)))) % 1.12/1.31 (step @p595 :rule cnf_equiv_pos2 :args (@t410)) % 1.12/1.31 (step @p596 :rule eq_resolve :premises (@p595 @p594)) % 1.12/1.31 (step @p597 :rule reordering :premises (@p596) :args ((or @t148 @t408 @t415))) % 1.12/1.31 (step @p598 :rule chain_m_resolution :premises (@p597 @p590 @p563) :args (@t148 @t373 (@list @t408 @t410))) % 1.12/1.31 (step @p599 :rule chain_m_resolution :premises (@p477 @p476 @p598) :args (@t416 @t373 (@list @t358 @t148))) % 1.12/1.31 (step @p600 :rule refl :args (@t418)) % 1.12/1.31 (step @p601 :rule bool-double-not-elim :args (@t150)) % 1.12/1.31 (step @p602 :rule refl :args (@t353)) % 1.12/1.31 (step @p603 :rule nary_cong :premises (@p602 @p601 @p600) :args ((or @t353 (not @t416) @t418))) % 1.12/1.31 (assume-push @p666 @t352) % 1.12/1.31 (assume-push @p667 @t416) % 1.12/1.31 (assume-push @p668 @t416) % 1.12/1.31 (assume-push @p669 @t352) % 1.12/1.31 (step @p608 :rule false_intro :premises (@p667)) % 1.12/1.31 (step @p609 :rule symm :premises (@p666)) % 1.12/1.31 (step @p610 :rule cong :premises (@p609) :args (@t417)) % 1.12/1.31 (step @p611 :rule trans :premises (@p610 @p608)) % 1.12/1.31 (step @p612 :rule false_elim :premises (@p611)) % 1.12/1.31 (step-pop @p670 :rule scope :premises (@p612)) % 1.12/1.31 (step-pop @p671 :rule scope :premises (@p670)) % 1.12/1.31 (step @p613 :rule process_scope :premises (@p671) :args (@t418)) % 1.12/1.31 (step @p616 :rule and_intro :premises (@p667 @p666)) % 1.12/1.31 (step @p617 :rule modus_ponens :premises (@p616 @p613)) % 1.12/1.31 (step-pop @p672 :rule scope :premises (@p617)) % 1.12/1.31 (step-pop @p673 :rule scope :premises (@p672)) % 1.12/1.31 (step @p618 :rule process_scope :premises (@p673) :args (@t418)) % 1.12/1.31 (step @p621 :rule implies_elim :premises (@p618)) % 1.12/1.31 (step @p622 :rule cnf_and_neg :args (@t419)) % 1.12/1.31 (step @p623 :rule resolution :premises (@p622 @p621) :args (true @t419)) % 1.12/1.31 (step @p624 :rule eq_resolve :premises (@p623 @p603)) % 1.12/1.31 (step @p625 :rule reordering :premises (@p624) :args ((or @t150 @t353 @t418))) % 1.12/1.31 (step @p626 :rule chain_m_resolution :premises (@p625 @p599 @p488) :args (@t418 @t373 (@list @t150 @t352))) % 1.12/1.31 (step @p627 :rule bool-double-not-elim :args (@t354)) % 1.12/1.31 (step @p628 :rule nary_cong :premises (@p458 @p627) :args ((or @t356 (not @t355)))) % 1.12/1.31 (step @p629 :rule cnf_or_neg :args (@t356 0)) % 1.12/1.31 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 1.12/1.31 (step @p631 :rule reordering :premises (@p630) :args ((or @t354 @t356))) % 1.12/1.31 (step @p632 :rule chain_m_resolution :premises (@p631 @p482) :args (@t354 @t371 @t374)) % 1.12/1.31 (step @p633 :rule cnf_or_pos :args (@t420)) % 1.12/1.31 (step @p634 :rule reordering :premises (@p633) :args ((or @t355 @t417 @t421))) % 1.12/1.31 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p626) :args (@t421 (@list false true) (@list @t354 @t417))) % 1.12/1.31 (assume-push @p674 @t422) % 1.12/1.31 (step @p637 :rule instantiate :premises (@p100) :args ((@list @t342))) % 1.12/1.31 (step-pop @p675 :rule scope :premises (@p637)) % 1.12/1.32 (step @p638 :rule process_scope :premises (@p675) :args (@t420)) % 1.12/1.32 (step @p640 :rule implies_elim :premises (@p638)) % 1.12/1.32 (step @p641 false :rule chain_m_resolution :premises (@p640 @p635 @p100) :args (false @t373 (@list @t420 @t422))) % 1.12/1.32 ) % 1.12/1.32 % SZS output end Proof % 1.12/1.32 % cvc5 exiting %------------------------------------------------------------------------------