%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC330+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:53 AM UTC 2026 % Result : Theorem 1.12s 1.32s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC330+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 19:41:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.32 % SZS status Theorem % 1.12/1.32 % SZS output start Proof % 1.12/1.32 ( % 1.12/1.32 (declare-sort $$unsorted 0) % 1.12/1.32 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.nil $$unsorted) % 1.12/1.32 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (define @t1 () (@var "V" $$unsorted)) % 1.12/1.32 (define @t2 () (@var "U" $$unsorted)) % 1.12/1.32 (define @t3 () (= @t2 @t1)) % 1.12/1.32 (define @t4 () (not @t3)) % 1.12/1.32 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.12/1.32 (define @t6 () (tptp.ssItem @t1)) % 1.12/1.32 (define @t7 () (@list @t1)) % 1.12/1.32 (define @t8 () (tptp.ssItem @t2)) % 1.12/1.32 (define @t9 () (@list @t2)) % 1.12/1.32 (define @t10 () (@var "X" $$unsorted)) % 1.12/1.32 (define @t11 () (tptp.cons @t1 @t10)) % 1.12/1.32 (define @t12 () (@var "W" $$unsorted)) % 1.12/1.32 (define @t13 () (tptp.ssList @t10)) % 1.12/1.32 (define @t14 () (@list @t10)) % 1.12/1.32 (define @t15 () (tptp.ssList @t12)) % 1.12/1.32 (define @t16 () (@list @t12)) % 1.12/1.32 (define @t17 () (tptp.ssList @t2)) % 1.12/1.32 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.12/1.32 (define @t19 () (tptp.app @t1 @t12)) % 1.12/1.32 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.12/1.32 (define @t21 () (tptp.ssList @t1)) % 1.12/1.32 (define @t22 () (tptp.app @t12 @t1)) % 1.12/1.32 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.12/1.32 (define @t24 () (tptp.app @t22 @t10)) % 1.12/1.32 (define @t25 () (and @t13 (= @t24 @t2))) % 1.12/1.32 (define @t26 () (exists @t14 @t25)) % 1.12/1.32 (define @t27 () (and @t15 @t26)) % 1.12/1.32 (define @t28 () (exists @t16 @t27)) % 1.12/1.32 (define @t29 () (tptp.segmentP @t2 @t1)) % 1.12/1.32 (define @t30 () (= @t29 @t28)) % 1.12/1.32 (define @t31 () (=> @t21 @t30)) % 1.12/1.32 (define @t32 () (forall @t7 @t31)) % 1.12/1.32 (define @t33 () (=> @t17 @t32)) % 1.12/1.32 (define @t34 () (forall @t9 @t33)) % 1.12/1.32 (define @t35 () (tptp.leq @t12 @t1)) % 1.12/1.32 (define @t36 () (tptp.leq @t1 @t12)) % 1.12/1.32 (define @t37 () (@var "Z" $$unsorted)) % 1.12/1.32 (define @t38 () (@var "Y" $$unsorted)) % 1.12/1.32 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 1.12/1.32 (define @t40 () (tptp.ssList @t37)) % 1.12/1.32 (define @t41 () (@list @t37)) % 1.12/1.32 (define @t42 () (tptp.ssList @t38)) % 1.12/1.32 (define @t43 () (@list @t38)) % 1.12/1.32 (define @t44 () (tptp.ssItem @t12)) % 1.12/1.32 (define @t45 () (tptp.lt @t1 @t12)) % 1.12/1.32 (define @t46 () (= @t1 @t12)) % 1.12/1.32 (define @t47 () (tptp.equalelemsP @t2)) % 1.12/1.32 (define @t48 () (tptp.cons @t1 @t2)) % 1.12/1.32 (define @t49 () (tptp.ssList tptp.nil)) % 1.12/1.32 (define @t50 () (= @t1 @t2)) % 1.12/1.32 (define @t51 () (tptp.cons @t12 @t1)) % 1.12/1.32 (define @t52 () (= tptp.nil @t2)) % 1.12/1.32 (define @t53 () (tptp.hd @t2)) % 1.12/1.32 (define @t54 () (not @t52)) % 1.12/1.32 (define @t55 () (tptp.tl @t2)) % 1.12/1.32 (define @t56 () (tptp.app @t2 @t1)) % 1.12/1.32 (define @t57 () (tptp.app @t1 @t2)) % 1.12/1.32 (define @t58 () (tptp.leq @t1 @t2)) % 1.12/1.32 (define @t59 () (tptp.leq @t2 @t1)) % 1.12/1.32 (define @t60 () (tptp.geq @t2 @t1)) % 1.12/1.32 (define @t61 () (tptp.lt @t1 @t2)) % 1.12/1.32 (define @t62 () (tptp.lt @t2 @t1)) % 1.12/1.32 (define @t63 () (tptp.lt @t2 @t12)) % 1.12/1.32 (define @t64 () (tptp.gt @t2 @t1)) % 1.12/1.32 (define @t65 () (tptp.memberP @t12 @t2)) % 1.12/1.32 (define @t66 () (tptp.app @t12 @t2)) % 1.12/1.32 (define @t67 () (tptp.segmentP @t1 @t2)) % 1.12/1.32 (define @t68 () (tptp.segmentP @t2 @t2)) % 1.12/1.32 (define @t69 () (forall @t9 (=> @t17 @t68))) % 1.12/1.32 (define @t70 () (tptp.cons @t2 tptp.nil)) % 1.12/1.32 (define @t71 () (tptp.hd @t1)) % 1.12/1.32 (define @t72 () (= tptp.nil @t1)) % 1.12/1.32 (define @t73 () (not @t72)) % 1.12/1.32 (define @t74 () (tptp.cons @t2 @t1)) % 1.12/1.32 (define @t75 () (tptp.equalelemsP @t70)) % 1.12/1.32 (define @t76 () (forall @t9 (=> @t8 @t75))) % 1.12/1.32 (define @t77 () (tptp.equalelemsP tptp.nil)) % 1.12/1.32 (define @t78 () (= @t12 @t2)) % 1.12/1.32 (define @t79 () (and @t67 @t47)) % 1.12/1.32 (define @t80 () (not (= tptp.nil @t12))) % 1.12/1.32 (define @t81 () (not (= tptp.nil @t10))) % 1.12/1.32 (define @t82 () (or @t81 @t80)) % 1.12/1.32 (define @t83 () (@var "X3" $$unsorted)) % 1.12/1.32 (define @t84 () (tptp.lt @t83 @t38)) % 1.12/1.32 (define @t85 () (@var "X1" $$unsorted)) % 1.12/1.32 (define @t86 () (tptp.memberP @t85 @t83)) % 1.12/1.32 (define @t87 () (tptp.ssItem @t83)) % 1.12/1.32 (define @t88 () (and @t87 @t86 @t84)) % 1.12/1.32 (define @t89 () (@list @t83)) % 1.12/1.32 (define @t90 () (exists @t89 @t88)) % 1.12/1.32 (define @t91 () (@var "X2" $$unsorted)) % 1.12/1.32 (define @t92 () (tptp.lt @t38 @t91)) % 1.12/1.32 (define @t93 () (tptp.memberP @t37 @t91)) % 1.12/1.32 (define @t94 () (tptp.ssItem @t91)) % 1.12/1.32 (define @t95 () (and @t94 @t93 @t92)) % 1.12/1.32 (define @t96 () (@list @t91)) % 1.12/1.32 (define @t97 () (exists @t96 @t95)) % 1.12/1.32 (define @t98 () (tptp.app @t37 @t12)) % 1.12/1.32 (define @t99 () (tptp.app @t98 @t85)) % 1.12/1.32 (define @t100 () (not (= @t99 @t10))) % 1.12/1.32 (define @t101 () (tptp.cons @t38 tptp.nil)) % 1.12/1.32 (define @t102 () (not (= @t101 @t12))) % 1.12/1.32 (define @t103 () (not (tptp.ssList @t85))) % 1.12/1.32 (define @t104 () (or @t103 @t102 @t100 @t97 @t90)) % 1.12/1.32 (define @t105 () (@list @t85)) % 1.12/1.32 (define @t106 () (forall @t105 @t104)) % 1.12/1.32 (define @t107 () (=> @t40 @t106)) % 1.12/1.32 (define @t108 () (forall @t41 @t107)) % 1.12/1.32 (define @t109 () (tptp.ssItem @t38)) % 1.12/1.32 (define @t110 () (=> @t109 @t108)) % 1.12/1.32 (define @t111 () (forall @t43 @t110)) % 1.12/1.32 (define @t112 () (and @t111 @t82)) % 1.12/1.32 (define @t113 () (not (= @t2 @t12))) % 1.12/1.32 (define @t114 () (not (= @t1 @t10))) % 1.12/1.32 (define @t115 () (not @t13)) % 1.12/1.32 (define @t116 () (or @t115 @t114 @t113 @t112 @t79)) % 1.12/1.32 (define @t117 () (forall @t14 @t116)) % 1.12/1.32 (define @t118 () (=> @t15 @t117)) % 1.12/1.32 (define @t119 () (forall @t16 @t118)) % 1.12/1.32 (define @t120 () (=> @t21 @t119)) % 1.12/1.32 (define @t121 () (forall @t7 @t120)) % 1.12/1.32 (define @t122 () (=> @t17 @t121)) % 1.12/1.32 (define @t123 () (forall @t9 @t122)) % 1.12/1.32 (define @t124 () (not @t123)) % 1.12/1.32 (define @t125 () (not (= @t2 tptp.nil))) % 1.12/1.32 (define @t126 () (@var "BOUND_VARIABLE_11301" $$unsorted)) % 1.12/1.32 (define @t127 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 1.12/1.32 (define @t128 () (@var "BOUND_VARIABLE_11307" $$unsorted)) % 1.12/1.32 (define @t129 () (not @t87)) % 1.12/1.32 (define @t130 () (@var "BOUND_VARIABLE_11305" $$unsorted)) % 1.12/1.32 (define @t131 () (not @t94)) % 1.12/1.32 (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))))))) % 1.12/1.32 (define @t133 () (and (tptp.segmentP @t126 @t2) @t47)) % 1.12/1.32 (define @t134 () (not (tptp.ssList @t126))) % 1.12/1.32 (define @t135 () (not @t17)) % 1.12/1.32 (define @t136 () (@list @t2 @t126 @t127 @t130 @t128)) % 1.12/1.32 (define @t137 () (forall @t136 (or @t135 @t134 @t133 (and @t132 (or (not (= tptp.nil @t126)) @t125))))) % 1.12/1.32 (define @t138 () (@quantifiers_skolemize @t137 1)) % 1.12/1.32 (define @t139 () (= tptp.nil @t138)) % 1.12/1.32 (define @t140 () (@quantifiers_skolemize @t137 0)) % 1.12/1.32 (define @t141 () (= tptp.nil @t140)) % 1.12/1.32 (define @t142 () (not @t141)) % 1.12/1.32 (define @t143 () (not @t139)) % 1.12/1.32 (define @t144 () (or @t143 @t142)) % 1.12/1.32 (define @t145 () (tptp.segmentP tptp.nil tptp.nil)) % 1.12/1.32 (define @t146 () (not @t49)) % 1.12/1.32 (define @t147 () (or @t146 @t145)) % 1.12/1.32 (define @t148 () (@list false false)) % 1.12/1.32 (define @t149 () (tptp.segmentP @t138 @t140)) % 1.12/1.32 (define @t150 () (and @t139 @t141 @t145)) % 1.12/1.32 (define @t151 () (tptp.equalelemsP @t140)) % 1.12/1.32 (define @t152 () (and @t77 @t141)) % 1.12/1.32 (define @t153 () (not (= @t126 tptp.nil))) % 1.12/1.32 (define @t154 () (or @t153 @t125)) % 1.12/1.32 (define @t155 () (and @t132 @t154)) % 1.12/1.32 (define @t156 () (or @t135 @t134 @t133 @t155)) % 1.12/1.32 (define @t157 () (or @t134 @t133 @t155)) % 1.12/1.32 (define @t158 () (or @t135 @t157)) % 1.12/1.32 (define @t159 () (forall @t136 @t158)) % 1.12/1.32 (define @t160 () (@list @t126 @t127 @t130 @t128)) % 1.12/1.32 (define @t161 () (forall @t160 @t158)) % 1.12/1.32 (define @t162 () (forall @t160 @t157)) % 1.12/1.32 (define @t163 () (@var "BOUND_VARIABLE_11263" $$unsorted)) % 1.12/1.32 (define @t164 () (@var "BOUND_VARIABLE_11261" $$unsorted)) % 1.12/1.32 (define @t165 () (@var "BOUND_VARIABLE_11259" $$unsorted)) % 1.12/1.32 (define @t166 () (or @t135 @t162)) % 1.12/1.32 (define @t167 () (not (= @t1 tptp.nil))) % 1.12/1.32 (define @t168 () (or @t167 @t125)) % 1.12/1.32 (define @t169 () (or (not (tptp.ssItem @t165)) (not (= @t2 (tptp.cons @t165 tptp.nil))) (not (tptp.ssList @t164)) (not (forall @t96 (or @t131 (not (tptp.memberP @t164 @t91)) (not (tptp.lt @t165 @t91))))) (not (tptp.ssList @t163)) (not (= @t1 (tptp.app (tptp.app @t164 @t2) @t163))) (not (forall @t89 (or @t129 (not (tptp.memberP @t163 @t83)) (not (tptp.lt @t83 @t165))))))) % 1.12/1.32 (define @t170 () (and @t169 @t168)) % 1.12/1.32 (define @t171 () (not @t21)) % 1.12/1.32 (define @t172 () (or @t171 @t79 @t170)) % 1.12/1.32 (define @t173 () (forall (@list @t1 @t165 @t164 @t163) @t172)) % 1.12/1.32 (define @t174 () (or @t135 @t173)) % 1.12/1.32 (define @t175 () (@list @t165 @t164 @t163)) % 1.12/1.32 (define @t176 () (forall @t175 @t172)) % 1.12/1.32 (define @t177 () (forall @t175 @t168)) % 1.12/1.32 (define @t178 () (forall @t175 @t169)) % 1.12/1.32 (define @t179 () (@var "BOUND_VARIABLE_11210" $$unsorted)) % 1.12/1.32 (define @t180 () (@var "BOUND_VARIABLE_11208" $$unsorted)) % 1.12/1.32 (define @t181 () (@var "BOUND_VARIABLE_11206" $$unsorted)) % 1.12/1.32 (define @t182 () (@list @t181 @t180 @t179)) % 1.12/1.32 (define @t183 () (and @t178 @t177)) % 1.12/1.32 (define @t184 () (forall @t175 @t170)) % 1.12/1.32 (define @t185 () (or @t171 @t79 @t184)) % 1.12/1.32 (define @t186 () (and (forall (@list @t181 @t180 @t179) (or (not (tptp.ssItem @t181)) (not (= @t2 (tptp.cons @t181 tptp.nil))) (not (tptp.ssList @t180)) (not (forall @t96 (or @t131 (not (tptp.memberP @t180 @t91)) (not (tptp.lt @t181 @t91))))) (not (tptp.ssList @t179)) (not (= @t1 (tptp.app (tptp.app @t180 @t2) @t179))) (not (forall @t89 (or @t129 (not (tptp.memberP @t179 @t83)) (not (tptp.lt @t83 @t181))))))) @t168)) % 1.12/1.32 (define @t187 () (or @t171 @t79 @t186)) % 1.12/1.32 (define @t188 () (forall @t7 @t187)) % 1.12/1.32 (define @t189 () (or @t135 @t188)) % 1.12/1.32 (define @t190 () (or @t135 @t187)) % 1.12/1.32 (define @t191 () (or @t171 @t79 @t135 @t186)) % 1.12/1.32 (define @t192 () (or @t79 @t171 @t135 @t186)) % 1.12/1.32 (define @t193 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 1.12/1.32 (define @t194 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 1.12/1.32 (define @t195 () (@var "BOUND_VARIABLE_11149" $$unsorted)) % 1.12/1.32 (define @t196 () (@list @t195 @t194 @t193)) % 1.12/1.32 (define @t197 () (forall @t196 @t168)) % 1.12/1.32 (define @t198 () (not (forall @t89 (or @t129 (not (tptp.memberP @t193 @t83)) (not (tptp.lt @t83 @t195)))))) % 1.12/1.32 (define @t199 () (not (tptp.ssList @t193))) % 1.12/1.32 (define @t200 () (not (forall @t96 (or @t131 (not (tptp.memberP @t194 @t91)) (not (tptp.lt @t195 @t91)))))) % 1.12/1.32 (define @t201 () (not (tptp.ssList @t194))) % 1.12/1.32 (define @t202 () (tptp.cons @t195 tptp.nil)) % 1.12/1.32 (define @t203 () (not (tptp.ssItem @t195))) % 1.12/1.32 (define @t204 () (or @t203 (not (= @t2 @t202)) @t201 @t200 @t199 (not (= @t1 (tptp.app (tptp.app @t194 @t2) @t193))) @t198)) % 1.12/1.32 (define @t205 () (forall @t196 @t204)) % 1.12/1.32 (define @t206 () (@list @t195 @t194 @t193)) % 1.12/1.32 (define @t207 () (and @t205 @t197)) % 1.12/1.32 (define @t208 () (and @t204 @t168)) % 1.12/1.32 (define @t209 () (forall @t196 @t208)) % 1.12/1.32 (define @t210 () (or @t135 @t209)) % 1.12/1.32 (define @t211 () (or @t135 @t208)) % 1.12/1.32 (define @t212 () (not (= @t2 @t2))) % 1.12/1.32 (define @t213 () (or @t135 @t212 @t208)) % 1.12/1.32 (define @t214 () (not (= @t12 tptp.nil))) % 1.12/1.32 (define @t215 () (or @t167 @t214)) % 1.12/1.32 (define @t216 () (or @t203 (not (= @t12 @t202)) @t201 @t200 @t199 (not (= @t1 (tptp.app (tptp.app @t194 @t12) @t193))) @t198)) % 1.12/1.32 (define @t217 () (and @t216 @t215)) % 1.12/1.32 (define @t218 () (not @t15)) % 1.12/1.32 (define @t219 () (or @t113 @t218 @t113 @t217)) % 1.12/1.32 (define @t220 () (or @t218 @t113 @t217)) % 1.12/1.32 (define @t221 () (forall @t16 @t220)) % 1.12/1.32 (define @t222 () (forall @t196 @t221)) % 1.12/1.32 (define @t223 () (forall (@list @t195 @t194 @t193 @t12) @t220)) % 1.12/1.32 (define @t224 () (forall (@list @t12 @t195 @t194 @t193) @t220)) % 1.12/1.32 (define @t225 () (forall @t196 @t220)) % 1.12/1.32 (define @t226 () (forall @t196 @t215)) % 1.12/1.32 (define @t227 () (forall @t196 @t216)) % 1.12/1.32 (define @t228 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 1.12/1.32 (define @t229 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 1.12/1.32 (define @t230 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 1.12/1.32 (define @t231 () (@list @t230 @t229 @t228)) % 1.12/1.32 (define @t232 () (and @t227 @t226)) % 1.12/1.32 (define @t233 () (forall @t196 @t217)) % 1.12/1.32 (define @t234 () (or @t218 @t113 @t233)) % 1.12/1.32 (define @t235 () (and (forall (@list @t230 @t229 @t228) (or (not (tptp.ssItem @t230)) (not (= @t12 (tptp.cons @t230 tptp.nil))) (not (tptp.ssList @t229)) (not (forall @t96 (or @t131 (not (tptp.memberP @t229 @t91)) (not (tptp.lt @t230 @t91))))) (not (tptp.ssList @t228)) (not (= @t1 (tptp.app (tptp.app @t229 @t12) @t228))) (not (forall @t89 (or @t129 (not (tptp.memberP @t228 @t83)) (not (tptp.lt @t83 @t230))))))) @t215)) % 1.12/1.32 (define @t236 () (or @t218 @t113 @t235)) % 1.12/1.32 (define @t237 () (forall @t16 @t236)) % 1.12/1.32 (define @t238 () (or @t79 @t171 @t237)) % 1.12/1.32 (define @t239 () (or @t79 @t171 @t236)) % 1.12/1.32 (define @t240 () (or @t218 @t113 @t79 @t171 @t235)) % 1.12/1.32 (define @t241 () (or @t113 @t79 @t171 @t235)) % 1.12/1.32 (define @t242 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 1.12/1.32 (define @t243 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 1.12/1.32 (define @t244 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 1.12/1.32 (define @t245 () (@list @t244 @t243 @t242)) % 1.12/1.32 (define @t246 () (forall @t245 @t215)) % 1.12/1.32 (define @t247 () (not (forall @t89 (or @t129 (not (tptp.memberP @t242 @t83)) (not (tptp.lt @t83 @t244)))))) % 1.12/1.32 (define @t248 () (tptp.app (tptp.app @t243 @t12) @t242)) % 1.12/1.32 (define @t249 () (not (tptp.ssList @t242))) % 1.12/1.32 (define @t250 () (not (forall @t96 (or @t131 (not (tptp.memberP @t243 @t91)) (not (tptp.lt @t244 @t91)))))) % 1.12/1.32 (define @t251 () (not (tptp.ssList @t243))) % 1.12/1.32 (define @t252 () (not (= @t12 (tptp.cons @t244 tptp.nil)))) % 1.12/1.32 (define @t253 () (not (tptp.ssItem @t244))) % 1.12/1.32 (define @t254 () (or @t253 @t252 @t251 @t250 @t249 (not (= @t1 @t248)) @t247)) % 1.12/1.32 (define @t255 () (forall @t245 @t254)) % 1.12/1.32 (define @t256 () (@list @t244 @t243 @t242)) % 1.12/1.32 (define @t257 () (and @t255 @t246)) % 1.12/1.32 (define @t258 () (and @t254 @t215)) % 1.12/1.32 (define @t259 () (forall @t245 @t258)) % 1.12/1.32 (define @t260 () (or @t171 @t259)) % 1.12/1.32 (define @t261 () (or @t171 @t258)) % 1.12/1.32 (define @t262 () (not (= @t1 @t1))) % 1.12/1.32 (define @t263 () (or @t171 @t262 @t258)) % 1.12/1.32 (define @t264 () (or (not (= @t10 tptp.nil)) @t214)) % 1.12/1.32 (define @t265 () (or @t253 @t252 @t251 @t250 @t249 (not (= @t10 @t248)) @t247)) % 1.12/1.32 (define @t266 () (and @t265 @t264)) % 1.12/1.32 (define @t267 () (or @t114 @t115 @t114 @t266)) % 1.12/1.32 (define @t268 () (or @t115 @t114 @t266)) % 1.12/1.32 (define @t269 () (forall @t14 @t268)) % 1.12/1.32 (define @t270 () (forall @t245 @t269)) % 1.12/1.32 (define @t271 () (forall (@list @t244 @t243 @t242 @t10) @t268)) % 1.12/1.32 (define @t272 () (forall (@list @t10 @t244 @t243 @t242) @t268)) % 1.12/1.32 (define @t273 () (forall @t245 @t268)) % 1.12/1.32 (define @t274 () (forall @t245 @t264)) % 1.12/1.32 (define @t275 () (forall @t245 @t265)) % 1.12/1.32 (define @t276 () (@var "BOUND_VARIABLE_11008" $$unsorted)) % 1.12/1.32 (define @t277 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 1.12/1.32 (define @t278 () (and @t275 @t274)) % 1.12/1.32 (define @t279 () (forall @t245 @t266)) % 1.12/1.32 (define @t280 () (or @t115 @t114 @t279)) % 1.12/1.32 (define @t281 () (not @t84)) % 1.12/1.32 (define @t282 () (not (forall @t89 (or @t129 (not (tptp.memberP @t276 @t83)) @t281)))) % 1.12/1.32 (define @t283 () (not (= @t10 (tptp.app (tptp.app @t277 @t12) @t276)))) % 1.12/1.32 (define @t284 () (not (tptp.ssList @t276))) % 1.12/1.32 (define @t285 () (not @t92)) % 1.12/1.32 (define @t286 () (not (forall @t96 (or @t131 (not (tptp.memberP @t277 @t91)) @t285)))) % 1.12/1.32 (define @t287 () (not (tptp.ssList @t277))) % 1.12/1.32 (define @t288 () (not (= @t12 @t101))) % 1.12/1.32 (define @t289 () (not @t109)) % 1.12/1.32 (define @t290 () (or @t289 @t288 @t287 @t286 @t284 @t283 @t282)) % 1.12/1.32 (define @t291 () (@list @t38 @t277 @t276)) % 1.12/1.32 (define @t292 () (and (forall @t291 @t290) @t264)) % 1.12/1.32 (define @t293 () (or @t115 @t114 @t292)) % 1.12/1.32 (define @t294 () (forall @t14 @t293)) % 1.12/1.32 (define @t295 () (or @t113 @t79 @t294)) % 1.12/1.32 (define @t296 () (or @t113 @t79 @t293)) % 1.12/1.32 (define @t297 () (or @t115 @t114 @t113 @t292 @t79)) % 1.12/1.32 (define @t298 () (or @t287 @t286 @t284 @t283 @t282)) % 1.12/1.32 (define @t299 () (or @t289 @t288 @t298)) % 1.12/1.32 (define @t300 () (forall @t291 @t299)) % 1.12/1.32 (define @t301 () (@list @t277 @t276)) % 1.12/1.32 (define @t302 () (forall @t301 @t299)) % 1.12/1.32 (define @t303 () (forall @t301 @t298)) % 1.12/1.32 (define @t304 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 1.12/1.32 (define @t305 () (or @t289 @t288 @t303)) % 1.12/1.32 (define @t306 () (not (forall @t89 (or @t129 (not (tptp.memberP @t304 @t83)) @t281)))) % 1.12/1.32 (define @t307 () (not (= @t10 (tptp.app @t98 @t304)))) % 1.12/1.32 (define @t308 () (not (tptp.ssList @t304))) % 1.12/1.32 (define @t309 () (not @t93)) % 1.12/1.32 (define @t310 () (or @t131 @t309 @t285)) % 1.12/1.32 (define @t311 () (not (forall @t96 @t310))) % 1.12/1.32 (define @t312 () (not @t40)) % 1.12/1.32 (define @t313 () (or @t312 @t311 @t308 @t307 @t306)) % 1.12/1.32 (define @t314 () (@list @t37 @t304)) % 1.12/1.32 (define @t315 () (forall @t314 @t313)) % 1.12/1.32 (define @t316 () (or @t289 @t288 @t315)) % 1.12/1.32 (define @t317 () (or @t288 @t315)) % 1.12/1.32 (define @t318 () (or @t308 @t307 @t306)) % 1.12/1.32 (define @t319 () (or @t312 @t311 @t318)) % 1.12/1.32 (define @t320 () (forall @t314 @t319)) % 1.12/1.32 (define @t321 () (@list @t304)) % 1.12/1.32 (define @t322 () (forall @t321 @t319)) % 1.12/1.32 (define @t323 () (forall @t321 @t318)) % 1.12/1.32 (define @t324 () (or @t312 @t311 @t323)) % 1.12/1.32 (define @t325 () (not @t86)) % 1.12/1.32 (define @t326 () (or @t129 @t325 @t281)) % 1.12/1.32 (define @t327 () (not (forall @t89 @t326))) % 1.12/1.32 (define @t328 () (not (= @t10 @t99))) % 1.12/1.32 (define @t329 () (or @t103 @t328 @t327)) % 1.12/1.32 (define @t330 () (forall @t105 @t329)) % 1.12/1.32 (define @t331 () (or @t312 @t311 @t330)) % 1.12/1.32 (define @t332 () (forall @t41 @t331)) % 1.12/1.32 (define @t333 () (or @t288 @t332)) % 1.12/1.32 (define @t334 () (or @t288 @t331)) % 1.12/1.32 (define @t335 () (or @t312 @t288 @t311 @t330)) % 1.12/1.32 (define @t336 () (or @t288 @t311 @t330)) % 1.12/1.32 (define @t337 () (or @t288 @t311 @t329)) % 1.12/1.32 (define @t338 () (or @t103 @t288 @t328 @t311 @t327)) % 1.12/1.32 (define @t339 () (forall @t89 (not @t88))) % 1.12/1.32 (define @t340 () (not @t339)) % 1.12/1.32 (define @t341 () (forall @t96 (not @t95))) % 1.12/1.32 (define @t342 () (not @t341)) % 1.12/1.32 (define @t343 () (@quantifiers_skolemize @t137 2)) % 1.12/1.32 (define @t344 () (@quantifiers_skolemize @t137 4)) % 1.12/1.32 (define @t345 () (@quantifiers_skolemize @t137 3)) % 1.12/1.32 (define @t346 () (= @t138 (tptp.app (tptp.app @t345 @t140) @t344))) % 1.12/1.32 (define @t347 () (not @t346)) % 1.12/1.32 (define @t348 () (tptp.ssList @t344)) % 1.12/1.32 (define @t349 () (not @t348)) % 1.12/1.32 (define @t350 () (tptp.ssList @t345)) % 1.12/1.32 (define @t351 () (not @t350)) % 1.12/1.32 (define @t352 () (tptp.cons @t343 tptp.nil)) % 1.12/1.32 (define @t353 () (= @t140 @t352)) % 1.12/1.32 (define @t354 () (not @t353)) % 1.12/1.32 (define @t355 () (tptp.ssItem @t343)) % 1.12/1.32 (define @t356 () (not @t355)) % 1.12/1.32 (define @t357 () (or @t356 @t354 @t351 (not (forall @t96 (or @t131 (not (tptp.memberP @t345 @t91)) (not (tptp.lt @t343 @t91))))) @t349 @t347 (not (forall @t89 (or @t129 (not (tptp.memberP @t344 @t83)) (not (tptp.lt @t83 @t343))))))) % 1.12/1.32 (define @t358 () (and @t357 @t144)) % 1.12/1.32 (define @t359 () (and @t149 @t151)) % 1.12/1.32 (define @t360 () (tptp.ssList @t138)) % 1.12/1.32 (define @t361 () (not @t360)) % 1.12/1.32 (define @t362 () (tptp.ssList @t140)) % 1.12/1.32 (define @t363 () (not @t362)) % 1.12/1.32 (define @t364 () (or @t363 @t361 @t359 @t358)) % 1.12/1.32 (define @t365 () (not @t364)) % 1.12/1.32 (define @t366 () (not @t137)) % 1.12/1.32 (define @t367 () (not (= @t140 tptp.nil))) % 1.12/1.32 (define @t368 () (or @t143 @t367)) % 1.12/1.32 (define @t369 () (and @t357 @t368)) % 1.12/1.32 (define @t370 () (or @t363 @t361 @t359 @t369)) % 1.12/1.32 (define @t371 () (not @t370)) % 1.12/1.32 (define @t372 () (@list true)) % 1.12/1.32 (define @t373 () (@list @t364)) % 1.12/1.32 (define @t374 () (@list true false)) % 1.12/1.32 (define @t375 () (@list @t357)) % 1.12/1.32 (define @t376 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 1.12/1.32 (define @t377 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 1.12/1.32 (define @t378 () (not (tptp.ssList @t376))) % 1.12/1.32 (define @t379 () (@list @t12 @t376)) % 1.12/1.32 (define @t380 () (= (tptp.segmentP @t2 @t377) (not (forall @t379 (or @t218 @t378 (not (= @t2 (tptp.app (tptp.app @t12 @t377) @t376)))))))) % 1.12/1.32 (define @t381 () (not (tptp.ssList @t377))) % 1.12/1.32 (define @t382 () (or @t381 @t380)) % 1.12/1.32 (define @t383 () (or @t135 @t382)) % 1.12/1.32 (define @t384 () (forall (@list @t2 @t377) @t383)) % 1.12/1.32 (define @t385 () (@list @t377)) % 1.12/1.32 (define @t386 () (forall @t385 @t383)) % 1.12/1.32 (define @t387 () (forall @t385 @t382)) % 1.12/1.32 (define @t388 () (or @t135 @t387)) % 1.12/1.32 (define @t389 () (not (= @t2 (tptp.app @t22 @t376)))) % 1.12/1.32 (define @t390 () (or @t218 @t378 @t389)) % 1.12/1.32 (define @t391 () (= @t29 (not (forall @t379 @t390)))) % 1.12/1.32 (define @t392 () (forall @t7 (or @t171 @t391))) % 1.12/1.32 (define @t393 () (or @t378 @t389)) % 1.12/1.32 (define @t394 () (or @t218 @t393)) % 1.12/1.32 (define @t395 () (forall @t379 @t394)) % 1.12/1.32 (define @t396 () (@list @t376)) % 1.12/1.32 (define @t397 () (forall @t396 @t394)) % 1.12/1.32 (define @t398 () (forall @t396 @t393)) % 1.12/1.32 (define @t399 () (or @t218 @t398)) % 1.12/1.32 (define @t400 () (= @t2 @t24)) % 1.12/1.32 (define @t401 () (forall @t14 (or @t115 (not @t400)))) % 1.12/1.32 (define @t402 () (not @t401)) % 1.12/1.32 (define @t403 () (and @t15 @t402)) % 1.12/1.32 (define @t404 () (forall @t16 (not @t403))) % 1.12/1.32 (define @t405 () (not @t404)) % 1.12/1.32 (define @t406 () (and @t13 @t400)) % 1.12/1.32 (define @t407 () (forall @t14 (not @t406))) % 1.12/1.32 (define @t408 () (not @t407)) % 1.12/1.32 (define @t409 () (forall @t379 (or @t218 @t378 (not (= @t138 (tptp.app (tptp.app @t12 @t140) @t376)))))) % 1.12/1.32 (define @t410 () (not @t409)) % 1.12/1.32 (define @t411 () (= @t149 @t410)) % 1.12/1.32 (define @t412 () (or @t361 @t363 @t411)) % 1.12/1.32 (define @t413 () (@list false false false)) % 1.12/1.32 (define @t414 () (or @t351 @t349 @t347)) % 1.12/1.32 (define @t415 () (not @t414)) % 1.12/1.32 (define @t416 () (not @t411)) % 1.12/1.32 (define @t417 () (not @t151)) % 1.12/1.32 (define @t418 () (tptp.equalelemsP @t352)) % 1.12/1.32 (define @t419 () (or @t356 @t418)) % 1.12/1.32 (define @t420 () (not @t418)) % 1.12/1.32 (define @t421 () (and @t353 @t417)) % 1.12/1.32 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.12/1.32 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.12/1.32 (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))))))))))) % 1.12/1.32 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.12/1.32 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.12/1.32 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.12/1.32 (assume @p7 @t34) % 1.12/1.32 (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))))))))))))))))) % 1.12/1.32 (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)))))))))))))))) % 1.12/1.32 (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))))))))))))))))) % 1.12/1.32 (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))))))))))))))) % 1.12/1.32 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 1.12/1.32 (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 @t46)))))))))))))))) % 1.12/1.32 (assume @p14 (forall @t9 (=> @t17 (= @t47 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 1.12/1.32 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 1.12/1.32 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t48)))))) % 1.12/1.32 (assume @p17 @t49) % 1.12/1.32 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t48 @t2))))))) % 1.12/1.32 (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))))))))))) % 1.12/1.32 (assume @p20 (forall @t9 (=> @t17 (or @t52 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t51 @t2))))))))) % 1.12/1.32 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t48))))))) % 1.12/1.32 (assume @p22 (forall @t9 (=> @t17 (=> @t54 (tptp.ssItem @t53))))) % 1.12/1.32 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t48) @t1)))))) % 1.12/1.32 (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t55))))) % 1.12/1.32 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t48) @t2)))))) % 1.12/1.32 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t56)))))) % 1.12/1.32 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t57) (tptp.app @t51 @t2))))))))) % 1.12/1.32 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.12/1.32 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 @t58) @t3)))))) % 1.12/1.32 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t59 @t36) (tptp.leq @t2 @t12))))))))) % 1.12/1.32 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.12/1.32 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t58)))))) % 1.12/1.32 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (not @t61))))))) % 1.12/1.32 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @t45) @t63)))))))) % 1.12/1.32 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 @t61)))))) % 1.12/1.32 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t65))))))))) % 1.12/1.32 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t65))))))))) % 1.12/1.32 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.12/1.32 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.12/1.32 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.12/1.32 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.12/1.32 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.12/1.32 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.12/1.32 (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)))))))))))) % 1.12/1.32 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.12/1.32 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52)))) % 1.12/1.32 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.12/1.32 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.12/1.32 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.12/1.32 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t66 @t1))))))))) % 1.12/1.32 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.12/1.32 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52)))) % 1.12/1.32 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.12/1.32 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t67) @t3)))))) % 1.12/1.32 (assume @p55 @t69) % 1.12/1.32 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t66 @t10) @t1))))))))))) % 1.12/1.32 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.12/1.32 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52)))) % 1.12/1.32 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t70)))) % 1.12/1.32 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.12/1.32 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t70)))) % 1.12/1.32 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.12/1.32 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t70)))) % 1.12/1.32 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.12/1.32 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t70)))) % 1.12/1.32 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.12/1.32 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t74) (or @t72 (and @t73 (tptp.totalorderedP @t1) (tptp.leq @t2 @t71))))))))) % 1.12/1.32 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t70)))) % 1.12/1.32 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.12/1.32 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t74) (or @t72 (and @t73 (tptp.strictorderedP @t1) (tptp.lt @t2 @t71))))))))) % 1.12/1.32 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t70)))) % 1.12/1.32 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.12/1.32 (assume @p73 @t76) % 1.12/1.32 (assume @p74 @t77) % 1.12/1.32 (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t53 @t1))))))) % 1.12/1.32 (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t55 @t1))))))) % 1.12/1.32 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t73 @t54 (= @t71 @t53) (= (tptp.tl @t1) @t55)) @t50)))))) % 1.12/1.32 (assume @p78 (forall @t9 (=> @t17 (=> @t54 (= (tptp.cons @t53 @t55) @t2))))) % 1.12/1.32 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t56) @t78)))))))) % 1.12/1.32 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t78)))))))) % 1.12/1.32 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t48 (tptp.app @t18 @t2))))))) % 1.12/1.32 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t56 @t12) (tptp.app @t2 @t19))))))))) % 1.12/1.32 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t56) (and @t72 @t52))))))) % 1.12/1.32 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.12/1.32 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t56) @t53))))))) % 1.12/1.32 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t56) (tptp.app @t55 @t1)))))))) % 1.12/1.32 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 (tptp.geq @t1 @t2)) @t3)))))) % 1.12/1.32 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t60 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.12/1.32 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.12/1.32 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.12/1.32 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t59 @t45) @t63)))))))) % 1.12/1.32 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (or @t3 @t62))))))) % 1.12/1.32 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 (and @t4 @t59))))))) % 1.12/1.32 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not (tptp.gt @t1 @t2)))))))) % 1.12/1.32 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t64 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.12/1.32 (assume @p96 @t124) % 1.12/1.32 (assume @p97 true) % 1.12/1.32 (step @p98 :rule bool-double-not-elim :args (@t139)) % 1.12/1.32 (step @p99 :rule refl :args (@t144)) % 1.12/1.32 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t144 (not @t143)))) % 1.12/1.32 (step @p101 :rule cnf_or_neg :args (@t144 0)) % 1.12/1.32 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.12/1.32 (step @p103 :rule reordering :premises (@p102) :args ((or @t139 @t144))) % 1.12/1.32 (step @p104 :rule bool-double-not-elim :args (@t141)) % 1.12/1.32 (step @p105 :rule nary_cong :premises (@p99 @p104) :args ((or @t144 (not @t142)))) % 1.12/1.32 (step @p106 :rule cnf_or_neg :args (@t144 1)) % 1.12/1.32 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 1.12/1.32 (step @p108 :rule reordering :premises (@p107) :args ((or @t141 @t144))) % 1.12/1.32 (step @p109 :rule bool-impl-elim :args (@t17 @t68)) % 1.12/1.32 (step @p110 :rule cong :premises (@p109) :args (@t69)) % 1.12/1.32 (step @p111 :rule eq_resolve :premises (@p55 @p110)) % 1.12/1.32 (step @p112 :rule instantiate :premises (@p111) :args ((@list tptp.nil))) % 1.12/1.32 (step @p113 :rule cnf_or_pos :args (@t147)) % 1.12/1.32 (step @p114 :rule reordering :premises (@p113) :args ((or @t146 @t145 (not @t147)))) % 1.12/1.32 (step @p115 :rule chain_m_resolution :premises (@p114 @p17 @p112) :args (@t145 @t148 (@list @t49 @t147))) % 1.12/1.32 (assume-push @p637 @t139) % 1.12/1.32 (assume-push @p638 @t141) % 1.12/1.32 (assume-push @p639 @t145) % 1.12/1.32 (assume-push @p640 @t145) % 1.12/1.32 (assume-push @p641 @t141) % 1.12/1.32 (assume-push @p642 @t139) % 1.12/1.32 (step @p122 :rule true_intro :premises (@p115)) % 1.12/1.32 (step @p123 :rule symm :premises (@p638)) % 1.12/1.32 (step @p124 :rule refl :args (tptp.nil)) % 1.12/1.32 (step @p125 :rule cong :premises (@p124 @p123) :args ((tptp.segmentP tptp.nil @t140))) % 1.12/1.32 (step @p126 :rule refl :args (@t140)) % 1.12/1.32 (step @p127 :rule symm :premises (@p637)) % 1.12/1.32 (step @p128 :rule cong :premises (@p127 @p126) :args (@t149)) % 1.12/1.32 (step @p129 :rule trans :premises (@p128 @p125 @p122)) % 1.12/1.32 (step @p130 :rule true_elim :premises (@p129)) % 1.12/1.32 (step-pop @p643 :rule scope :premises (@p130)) % 1.12/1.32 (step-pop @p644 :rule scope :premises (@p643)) % 1.12/1.32 (step-pop @p645 :rule scope :premises (@p644)) % 1.12/1.32 (step @p131 :rule process_scope :premises (@p645) :args (@t149)) % 1.12/1.32 (step @p135 :rule and_intro :premises (@p115 @p638 @p637)) % 1.12/1.32 (step @p136 :rule modus_ponens :premises (@p135 @p131)) % 1.12/1.32 (step-pop @p646 :rule scope :premises (@p136)) % 1.12/1.32 (step-pop @p647 :rule scope :premises (@p646)) % 1.12/1.32 (step-pop @p648 :rule scope :premises (@p647)) % 1.12/1.32 (step @p137 :rule process_scope :premises (@p648) :args (@t149)) % 1.12/1.32 (step @p141 :rule implies_elim :premises (@p137)) % 1.12/1.32 (step @p142 :rule cnf_and_neg :args (@t150)) % 1.12/1.32 (step @p143 :rule resolution :premises (@p142 @p141) :args (true @t150)) % 1.12/1.32 (step @p144 :rule reordering :premises (@p143) :args ((or @t149 @t143 @t142 (not @t145)))) % 1.12/1.32 (assume-push @p649 @t77) % 1.12/1.32 (assume-push @p650 @t141) % 1.12/1.32 (assume-push @p651 @t77) % 1.12/1.32 (assume-push @p652 @t141) % 1.12/1.32 (step @p149 :rule true_intro :premises (@p74)) % 1.12/1.32 (step @p150 :rule symm :premises (@p650)) % 1.12/1.32 (step @p151 :rule cong :premises (@p150) :args (@t151)) % 1.12/1.32 (step @p152 :rule trans :premises (@p151 @p149)) % 1.12/1.32 (step @p153 :rule true_elim :premises (@p152)) % 1.12/1.32 (step-pop @p653 :rule scope :premises (@p153)) % 1.12/1.32 (step-pop @p654 :rule scope :premises (@p653)) % 1.12/1.32 (step @p154 :rule process_scope :premises (@p654) :args (@t151)) % 1.12/1.32 (step @p157 :rule and_intro :premises (@p74 @p650)) % 1.12/1.32 (step @p158 :rule modus_ponens :premises (@p157 @p154)) % 1.12/1.32 (step-pop @p655 :rule scope :premises (@p158)) % 1.12/1.32 (step-pop @p656 :rule scope :premises (@p655)) % 1.12/1.32 (step @p159 :rule process_scope :premises (@p656) :args (@t151)) % 1.12/1.32 (step @p162 :rule implies_elim :premises (@p159)) % 1.12/1.32 (step @p163 :rule cnf_and_neg :args (@t152)) % 1.12/1.32 (step @p164 :rule resolution :premises (@p163 @p162) :args (true @t152)) % 1.12/1.32 (step @p165 :rule reordering :premises (@p164) :args ((or (not @t77) @t151 @t142))) % 1.12/1.32 (step @p166 :rule refl :args (@t125)) % 1.12/1.32 (step @p167 :rule eq-symm :args (@t126 tptp.nil)) % 1.12/1.32 (step @p168 :rule cong :premises (@p167) :args (@t153)) % 1.12/1.32 (step @p169 :rule nary_cong :premises (@p168 @p166) :args (@t154)) % 1.12/1.32 (step @p170 :rule refl :args (@t132)) % 1.12/1.32 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t155)) % 1.12/1.32 (step @p172 :rule refl :args (@t133)) % 1.12/1.32 (step @p173 :rule refl :args (@t134)) % 1.12/1.32 (step @p174 :rule refl :args (@t135)) % 1.12/1.32 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172 @p171) :args (@t156)) % 1.12/1.32 (step @p176 :rule aci_norm :args ((= @t158 @t156))) % 1.12/1.32 (step @p177 :rule trans :premises (@p176 @p175)) % 1.12/1.32 (step @p178 :rule cong :premises (@p177) :args (@t159)) % 1.12/1.32 (step @p179 :rule quant-merge-prenex :args ((= (forall @t9 @t161) @t159))) % 1.12/1.32 (step @p180 :rule alpha_equiv :args (@t162 (@list @t126 @t127 @t130 @t128) (@list @t1 @t165 @t164 @t163))) % 1.12/1.32 (step @p181 :rule refl :args (@t135)) % 1.12/1.32 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t166)) % 1.12/1.32 (step @p183 :rule quant-miniscope-or :args ((= @t161 @t166))) % 1.12/1.32 (step @p184 :rule 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trans :premises (@p444 @p193)) % 1.12/1.32 (step @p446 :rule cong :premises (@p445) :args (@t124)) % 1.12/1.32 (step @p447 :rule eq_resolve :premises (@p96 @p446)) % 1.12/1.32 (step @p448 :rule refl :args (@t365)) % 1.12/1.32 (step @p449 :rule bool-double-not-elim :args (@t137)) % 1.12/1.32 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t366) @t365))) % 1.12/1.32 (step @p451 :rule eq-symm :args (@t140 tptp.nil)) % 1.12/1.32 (step @p452 :rule cong :premises (@p451) :args (@t367)) % 1.12/1.32 (step @p453 :rule refl :args (@t143)) % 1.12/1.32 (step @p454 :rule nary_cong :premises (@p453 @p452) :args (@t368)) % 1.12/1.32 (step @p455 :rule refl :args (@t357)) % 1.12/1.32 (step @p456 :rule nary_cong :premises (@p455 @p454) :args (@t369)) % 1.12/1.32 (step @p457 :rule refl :args (@t359)) % 1.12/1.32 (step @p458 :rule refl :args (@t361)) % 1.12/1.32 (step @p459 :rule refl :args (@t363)) % 1.12/1.32 (step @p460 :rule nary_cong :premises (@p459 @p458 @p457 @p456) :args (@t370)) % 1.12/1.32 (step @p461 :rule cong :premises (@p460) :args (@t371)) % 1.12/1.32 (step @p462 :rule refl :args (@t366)) % 1.12/1.32 (step @p463 :rule cong :premises (@p462 @p461) :args ((=> @t366 @t371))) % 1.12/1.32 (assume-push @p657 @t366) % 1.12/1.32 (step @p465 :rule skolemize :premises (@p447)) % 1.12/1.32 (step-pop @p658 :rule scope :premises (@p465)) % 1.12/1.32 (step @p466 :rule process_scope :premises (@p658) :args (@t371)) % 1.12/1.32 (step @p468 :rule eq_resolve :premises (@p466 @p463)) % 1.12/1.32 (step @p469 :rule implies_elim :premises (@p468)) % 1.12/1.32 (step @p470 :rule eq_resolve :premises (@p469 @p450)) % 1.12/1.32 (step @p471 :rule chain_m_resolution :premises (@p470 @p447) :args (@t365 @t372 (@list @t137))) % 1.12/1.32 (step @p472 :rule cnf_or_neg :args (@t364 2)) % 1.12/1.32 (step @p473 :rule chain_m_resolution :premises (@p472 @p471) :args ((not @t359) @t372 @t373)) % 1.12/1.32 (step @p474 :rule cnf_and_neg :args (@t359)) % 1.12/1.32 (step @p475 :rule chain_m_resolution :premises (@p474 @p473 @p165 @p74 @p144 @p115 @p108 @p103) :args (@t144 (@list true false false false false false false) (@list @t359 @t151 @t77 @t149 @t145 @t141 @t139))) % 1.12/1.32 (step @p476 :rule cnf_or_neg :args (@t364 3)) % 1.12/1.32 (step @p477 :rule chain_m_resolution :premises (@p476 @p471) :args ((not @t358) @t372 @t373)) % 1.12/1.32 (step @p478 :rule cnf_and_neg :args (@t358)) % 1.12/1.32 (step @p479 :rule chain_m_resolution :premises (@p478 @p477 @p475) :args ((not @t357) @t374 (@list @t358 @t144))) % 1.12/1.32 (step @p480 :rule bool-double-not-elim :args (@t353)) % 1.12/1.32 (step @p481 :rule nary_cong :premises (@p455 @p480) :args ((or @t357 (not @t354)))) % 1.12/1.32 (step @p482 :rule cnf_or_neg :args (@t357 1)) % 1.12/1.32 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 1.12/1.32 (step @p484 :rule reordering :premises (@p483) :args ((or @t353 @t357))) % 1.12/1.32 (step @p485 :rule chain_m_resolution :premises (@p484 @p479) :args (@t353 @t372 @t375)) % 1.12/1.32 (step @p486 :rule aci_norm :args ((= @t383 (or @t135 @t381 @t380)))) % 1.12/1.32 (step @p487 :rule cong :premises (@p486) :args (@t384)) % 1.12/1.32 (step @p488 :rule quant-merge-prenex :args ((= (forall @t9 @t386) @t384))) % 1.12/1.32 (step @p489 :rule alpha_equiv :args (@t387 (@list @t377) (@list @t1))) % 1.12/1.32 (step @p490 :rule nary_cong :premises (@p181 @p489) :args (@t388)) % 1.12/1.32 (step @p491 :rule quant-miniscope-or :args ((= @t386 @t388))) % 1.12/1.32 (step @p492 :rule trans :premises (@p491 @p490)) % 1.12/1.32 (step @p493 :rule symm :premises (@p492)) % 1.12/1.32 (step @p494 :rule cong :premises (@p493) :args ((forall @t9 (or @t135 @t392)))) % 1.12/1.32 (step @p495 :rule trans :premises (@p494 @p488)) % 1.12/1.32 (step @p496 :rule trans :premises (@p495 @p487)) % 1.12/1.32 (step @p497 :rule bool-impl-elim :args (@t17 @t392)) % 1.12/1.32 (step @p498 :rule cong :premises (@p497) :args ((forall @t9 (=> @t17 @t392)))) % 1.12/1.32 (step @p499 :rule trans :premises (@p498 @p496)) % 1.12/1.32 (step @p500 :rule bool-impl-elim :args (@t21 @t391)) % 1.12/1.32 (step @p501 :rule cong :premises (@p500) :args ((forall @t7 (=> @t21 @t391)))) % 1.12/1.32 (step @p502 :rule aci_norm :args ((= @t394 @t390))) % 1.12/1.32 (step @p503 :rule cong :premises (@p502) :args (@t395)) % 1.12/1.32 (step @p504 :rule quant-merge-prenex :args ((= (forall @t16 @t397) @t395))) % 1.12/1.32 (step @p505 :rule alpha_equiv :args (@t398 (@list @t376) (@list @t10))) % 1.12/1.32 (step @p506 :rule nary_cong :premises (@p241 @p505) :args (@t399)) % 1.12/1.32 (step @p507 :rule quant-miniscope-or :args ((= @t397 @t399))) % 1.12/1.32 (step @p508 :rule trans :premises (@p507 @p506)) % 1.12/1.32 (step @p509 :rule symm :premises (@p508)) % 1.12/1.32 (step @p510 :rule cong :premises (@p509) :args ((forall @t16 (or @t218 @t401)))) % 1.12/1.32 (step @p511 :rule trans :premises (@p510 @p504)) % 1.12/1.32 (step @p512 :rule trans :premises (@p511 @p503)) % 1.12/1.32 (step @p513 :rule bool-double-not-elim :args (@t401)) % 1.12/1.32 (step @p514 :rule nary_cong :premises (@p241 @p513) :args ((or @t218 (not @t402)))) % 1.12/1.32 (step @p515 :rule bool-and-de-morgan :args (@t15 @t402 true)) % 1.12/1.32 (step @p516 :rule trans :premises (@p515 @p514)) % 1.12/1.32 (step @p517 :rule cong :premises (@p516) :args (@t404)) % 1.12/1.32 (step @p518 :rule trans :premises (@p517 @p512)) % 1.12/1.32 (step @p519 :rule cong :premises (@p518) :args (@t405)) % 1.12/1.32 (step @p520 :rule exists-elim :args ((= (exists @t16 @t403) @t405))) % 1.12/1.32 (step @p521 :rule trans :premises (@p520 @p519)) % 1.12/1.32 (step @p522 :rule bool-and-de-morgan :args (@t13 @t400 true)) % 1.12/1.32 (step @p523 :rule cong :premises (@p522) :args (@t407)) % 1.12/1.32 (step @p524 :rule cong :premises (@p523) :args (@t408)) % 1.12/1.32 (step @p525 :rule exists-elim :args ((= (exists @t14 @t406) @t408))) % 1.12/1.32 (step @p526 :rule trans :premises (@p525 @p524)) % 1.12/1.32 (step @p527 :rule eq-symm :args (@t24 @t2)) % 1.12/1.32 (step @p528 :rule refl :args (@t13)) % 1.12/1.32 (step @p529 :rule nary_cong :premises (@p528 @p527) :args (@t25)) % 1.12/1.32 (step @p530 :rule cong :premises (@p529) :args (@t26)) % 1.12/1.32 (step @p531 :rule trans :premises (@p530 @p526)) % 1.12/1.32 (step @p532 :rule nary_cong :premises (@p434 @p531) :args (@t27)) % 1.12/1.32 (step @p533 :rule cong :premises (@p532) :args (@t28)) % 1.12/1.32 (step @p534 :rule trans :premises (@p533 @p521)) % 1.12/1.32 (step @p535 :rule refl :args (@t29)) % 1.12/1.32 (step @p536 :rule cong :premises (@p535 @p534) :args (@t30)) % 1.12/1.32 (step @p537 :rule cong :premises (@p438 @p536) :args (@t31)) % 1.12/1.32 (step @p538 :rule cong :premises (@p537) :args (@t32)) % 1.12/1.32 (step @p539 :rule trans :premises (@p538 @p501)) % 1.12/1.32 (step @p540 :rule cong :premises (@p442 @p539) :args (@t33)) % 1.12/1.32 (step @p541 :rule cong :premises (@p540) :args (@t34)) % 1.12/1.32 (step @p542 :rule trans :premises (@p541 @p499)) % 1.12/1.32 (step @p543 :rule eq_resolve :premises (@p7 @p542)) % 1.12/1.32 (step @p544 :rule instantiate :premises (@p543) :args ((@list @t138 @t140))) % 1.12/1.32 (step @p545 :rule bool-double-not-elim :args (@t360)) % 1.12/1.32 (step @p546 :rule refl :args (@t364)) % 1.12/1.32 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or @t364 (not @t361)))) % 1.12/1.32 (step @p548 :rule cnf_or_neg :args (@t364 1)) % 1.12/1.32 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 1.12/1.32 (step @p550 :rule reordering :premises (@p549) :args ((or @t360 @t364))) % 1.12/1.32 (step @p551 :rule chain_m_resolution :premises (@p550 @p471) :args (@t360 @t372 @t373)) % 1.12/1.32 (step @p552 :rule bool-double-not-elim :args (@t362)) % 1.12/1.32 (step @p553 :rule nary_cong :premises (@p546 @p552) :args ((or @t364 (not @t363)))) % 1.12/1.32 (step @p554 :rule cnf_or_neg :args (@t364 0)) % 1.12/1.32 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 1.12/1.32 (step @p556 :rule reordering :premises (@p555) :args ((or @t362 @t364))) % 1.12/1.32 (step @p557 :rule chain_m_resolution :premises (@p556 @p471) :args (@t362 @t372 @t373)) % 1.12/1.32 (step @p558 :rule cnf_or_pos :args (@t412)) % 1.12/1.32 (step @p559 :rule reordering :premises (@p558) :args ((or @t363 @t361 @t411 (not @t412)))) % 1.12/1.32 (step @p560 :rule chain_m_resolution :premises (@p559 @p557 @p551 @p544) :args (@t411 @t413 (@list @t362 @t360 @t412))) % 1.12/1.32 (step @p561 :rule bool-double-not-elim :args (@t346)) % 1.12/1.32 (step @p562 :rule nary_cong :premises (@p455 @p561) :args ((or @t357 (not @t347)))) % 1.12/1.32 (step @p563 :rule cnf_or_neg :args (@t357 5)) % 1.12/1.32 (step @p564 :rule eq_resolve :premises (@p563 @p562)) % 1.12/1.32 (step @p565 :rule reordering :premises (@p564) :args ((or @t346 @t357))) % 1.12/1.32 (step @p566 :rule chain_m_resolution :premises (@p565 @p479) :args (@t346 @t372 @t375)) % 1.12/1.32 (step @p567 :rule bool-double-not-elim :args (@t348)) % 1.12/1.32 (step @p568 :rule nary_cong :premises (@p455 @p567) :args ((or @t357 (not @t349)))) % 1.12/1.32 (step @p569 :rule cnf_or_neg :args (@t357 4)) % 1.12/1.32 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 1.12/1.32 (step @p571 :rule reordering :premises (@p570) :args ((or @t348 @t357))) % 1.12/1.32 (step @p572 :rule chain_m_resolution :premises (@p571 @p479) :args (@t348 @t372 @t375)) % 1.12/1.32 (step @p573 :rule bool-double-not-elim :args (@t350)) % 1.12/1.32 (step @p574 :rule nary_cong :premises (@p455 @p573) :args ((or @t357 (not @t351)))) % 1.12/1.32 (step @p575 :rule cnf_or_neg :args (@t357 2)) % 1.12/1.32 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 1.12/1.32 (step @p577 :rule reordering :premises (@p576) :args ((or @t350 @t357))) % 1.12/1.32 (step @p578 :rule chain_m_resolution :premises (@p577 @p479) :args (@t350 @t372 @t375)) % 1.12/1.32 (step @p579 :rule cnf_or_pos :args (@t414)) % 1.12/1.32 (step @p580 :rule reordering :premises (@p579) :args ((or @t351 @t349 @t347 @t415))) % 1.12/1.32 (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p572 @p566) :args (@t415 @t413 (@list @t350 @t348 @t346))) % 1.12/1.32 (assume-push @p659 @t409) % 1.12/1.32 (step @p583 :rule instantiate :premises (@p659) :args ((@list @t345 @t344))) % 1.12/1.32 (step-pop @p660 :rule scope :premises (@p583)) % 1.12/1.32 (step @p584 :rule process_scope :premises (@p660) :args (@t414)) % 1.12/1.32 (step @p586 :rule implies_elim :premises (@p584)) % 1.12/1.32 (step @p587 :rule chain_m_resolution :premises (@p586 @p581) :args (@t410 @t372 (@list @t414))) % 1.12/1.32 (step @p588 :rule bool-double-not-elim :args (@t409)) % 1.12/1.32 (step @p589 :rule refl :args (@t149)) % 1.12/1.32 (step @p590 :rule refl :args (@t416)) % 1.12/1.32 (step @p591 :rule nary_cong :premises (@p590 @p589 @p588) :args ((or @t416 @t149 (not @t410)))) % 1.12/1.32 (step @p592 :rule cnf_equiv_pos2 :args (@t411)) % 1.12/1.32 (step @p593 :rule eq_resolve :premises (@p592 @p591)) % 1.12/1.32 (step @p594 :rule reordering :premises (@p593) :args ((or @t149 @t409 @t416))) % 1.12/1.32 (step @p595 :rule chain_m_resolution :premises (@p594 @p587 @p560) :args (@t149 @t374 (@list @t409 @t411))) % 1.12/1.32 (step @p596 :rule chain_m_resolution :premises (@p474 @p473 @p595) :args (@t417 @t374 (@list @t359 @t149))) % 1.12/1.32 (step @p597 :rule bool-impl-elim :args (@t8 @t75)) % 1.12/1.32 (step @p598 :rule cong :premises (@p597) :args (@t76)) % 1.12/1.32 (step @p599 :rule eq_resolve :premises (@p73 @p598)) % 1.12/1.32 (step @p600 :rule instantiate :premises (@p599) :args ((@list @t343))) % 1.12/1.32 (step @p601 :rule bool-double-not-elim :args (@t355)) % 1.12/1.32 (step @p602 :rule nary_cong :premises (@p455 @p601) :args ((or @t357 (not @t356)))) % 1.12/1.33 (step @p603 :rule cnf_or_neg :args (@t357 0)) % 1.12/1.33 (step @p604 :rule eq_resolve :premises (@p603 @p602)) % 1.12/1.33 (step @p605 :rule reordering :premises (@p604) :args ((or @t355 @t357))) % 1.12/1.33 (step @p606 :rule chain_m_resolution :premises (@p605 @p479) :args (@t355 @t372 @t375)) % 1.12/1.33 (step @p607 :rule cnf_or_pos :args (@t419)) % 1.12/1.33 (step @p608 :rule reordering :premises (@p607) :args ((or @t356 @t418 (not @t419)))) % 1.12/1.33 (step @p609 :rule chain_m_resolution :premises (@p608 @p606 @p600) :args (@t418 @t148 (@list @t355 @t419))) % 1.12/1.33 (step @p610 :rule refl :args (@t420)) % 1.12/1.33 (step @p611 :rule bool-double-not-elim :args (@t151)) % 1.12/1.33 (step @p612 :rule refl :args (@t354)) % 1.12/1.33 (step @p613 :rule nary_cong :premises (@p612 @p611 @p610) :args ((or @t354 (not @t417) @t420))) % 1.12/1.33 (assume-push @p661 @t353) % 1.12/1.33 (assume-push @p662 @t417) % 1.12/1.33 (assume-push @p663 @t417) % 1.12/1.33 (assume-push @p664 @t353) % 1.12/1.33 (step @p618 :rule false_intro :premises (@p662)) % 1.12/1.33 (step @p619 :rule symm :premises (@p661)) % 1.12/1.33 (step @p620 :rule cong :premises (@p619) :args (@t418)) % 1.12/1.33 (step @p621 :rule trans :premises (@p620 @p618)) % 1.12/1.33 (step @p622 :rule false_elim :premises (@p621)) % 1.12/1.33 (step-pop @p665 :rule scope :premises (@p622)) % 1.12/1.33 (step-pop @p666 :rule scope :premises (@p665)) % 1.12/1.33 (step @p623 :rule process_scope :premises (@p666) :args (@t420)) % 1.12/1.33 (step @p626 :rule and_intro :premises (@p662 @p661)) % 1.12/1.33 (step @p627 :rule modus_ponens :premises (@p626 @p623)) % 1.12/1.33 (step-pop @p667 :rule scope :premises (@p627)) % 1.12/1.33 (step-pop @p668 :rule scope :premises (@p667)) % 1.12/1.33 (step @p628 :rule process_scope :premises (@p668) :args (@t420)) % 1.12/1.33 (step @p631 :rule implies_elim :premises (@p628)) % 1.12/1.33 (step @p632 :rule cnf_and_neg :args (@t421)) % 1.12/1.33 (step @p633 :rule resolution :premises (@p632 @p631) :args (true @t421)) % 1.12/1.33 (step @p634 :rule eq_resolve :premises (@p633 @p613)) % 1.12/1.33 (step @p635 :rule reordering :premises (@p634) :args ((or @t151 @t354 @t420))) % 1.12/1.33 (step @p636 false :rule chain_m_resolution :premises (@p635 @p609 @p596 @p485) :args (false (@list false true false) (@list @t418 @t151 @t353))) % 1.12/1.33 ) % 1.12/1.33 % SZS output end Proof % 1.12/1.33 % cvc5 exiting %------------------------------------------------------------------------------