%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC331+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 : n017.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 08:58:54 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 % 0.12/0.13 % Problem : SWC331+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:40:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.53 %----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 () (= @t1 @t12)) % 1.12/1.31 (define @t47 () (tptp.equalelemsP @t2)) % 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.app tptp.nil @t2)) % 1.12/1.31 (define @t59 () (=> @t17 (= @t58 @t2))) % 1.12/1.31 (define @t60 () (forall @t9 @t59)) % 1.12/1.31 (define @t61 () (tptp.leq @t1 @t2)) % 1.12/1.31 (define @t62 () (tptp.leq @t2 @t1)) % 1.12/1.31 (define @t63 () (tptp.geq @t2 @t1)) % 1.12/1.31 (define @t64 () (tptp.lt @t1 @t2)) % 1.12/1.31 (define @t65 () (tptp.lt @t2 @t1)) % 1.12/1.31 (define @t66 () (tptp.lt @t2 @t12)) % 1.12/1.31 (define @t67 () (tptp.gt @t2 @t1)) % 1.12/1.31 (define @t68 () (tptp.memberP @t12 @t2)) % 1.12/1.31 (define @t69 () (tptp.app @t12 @t2)) % 1.12/1.31 (define @t70 () (tptp.segmentP @t1 @t2)) % 1.12/1.31 (define @t71 () (tptp.cons @t2 tptp.nil)) % 1.12/1.31 (define @t72 () (tptp.hd @t1)) % 1.12/1.31 (define @t73 () (= tptp.nil @t1)) % 1.12/1.31 (define @t74 () (not @t73)) % 1.12/1.31 (define @t75 () (tptp.cons @t2 @t1)) % 1.12/1.31 (define @t76 () (= @t12 @t2)) % 1.12/1.31 (define @t77 () (and @t70 @t47)) % 1.12/1.31 (define @t78 () (not (= tptp.nil @t10))) % 1.12/1.31 (define @t79 () (and @t78 (= tptp.nil @t12))) % 1.12/1.31 (define @t80 () (tptp.cons @t37 tptp.nil)) % 1.12/1.31 (define @t81 () (@var "X2" $$unsorted)) % 1.12/1.31 (define @t82 () (tptp.app @t81 @t80)) % 1.12/1.31 (define @t83 () (tptp.ssList @t81)) % 1.12/1.31 (define @t84 () (and @t83 (= @t82 @t12))) % 1.12/1.31 (define @t85 () (@list @t81)) % 1.12/1.31 (define @t86 () (exists @t85 @t84)) % 1.12/1.31 (define @t87 () (@var "X1" $$unsorted)) % 1.12/1.31 (define @t88 () (tptp.app @t80 @t87)) % 1.12/1.31 (define @t89 () (tptp.ssList @t87)) % 1.12/1.31 (define @t90 () (and @t89 (= @t88 @t38) @t86)) % 1.12/1.31 (define @t91 () (@list @t87)) % 1.12/1.31 (define @t92 () (exists @t91 @t90)) % 1.12/1.31 (define @t93 () (tptp.ssItem @t37)) % 1.12/1.31 (define @t94 () (and @t93 @t92)) % 1.12/1.31 (define @t95 () (exists @t41 @t94)) % 1.12/1.31 (define @t96 () (not (tptp.equalelemsP @t12))) % 1.12/1.31 (define @t97 () (tptp.app @t12 @t38)) % 1.12/1.31 (define @t98 () (not (= @t97 @t10))) % 1.12/1.31 (define @t99 () (or @t98 @t96 @t95)) % 1.12/1.31 (define @t100 () (=> @t42 @t99)) % 1.12/1.31 (define @t101 () (forall @t43 @t100)) % 1.12/1.31 (define @t102 () (not (= @t2 @t12))) % 1.12/1.31 (define @t103 () (not (= @t1 @t10))) % 1.12/1.31 (define @t104 () (or @t103 @t102 @t101 @t79 @t77)) % 1.12/1.31 (define @t105 () (=> @t13 @t104)) % 1.12/1.31 (define @t106 () (forall @t14 @t105)) % 1.12/1.31 (define @t107 () (=> @t15 @t106)) % 1.12/1.31 (define @t108 () (forall @t16 @t107)) % 1.12/1.31 (define @t109 () (=> @t21 @t108)) % 1.12/1.31 (define @t110 () (forall @t7 @t109)) % 1.12/1.31 (define @t111 () (=> @t17 @t110)) % 1.12/1.31 (define @t112 () (forall @t9 @t111)) % 1.12/1.31 (define @t113 () (not @t112)) % 1.12/1.31 (define @t114 () (= @t2 @t58)) % 1.12/1.31 (define @t115 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 1.12/1.31 (define @t116 () (@var "BOUND_VARIABLE_10984" $$unsorted)) % 1.12/1.31 (define @t117 () (tptp.app @t80 @t116)) % 1.12/1.31 (define @t118 () (not (tptp.ssList @t116))) % 1.12/1.31 (define @t119 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 1.12/1.31 (define @t120 () (tptp.app @t119 @t80)) % 1.12/1.31 (define @t121 () (not (= @t2 @t120))) % 1.12/1.31 (define @t122 () (not (tptp.ssList @t119))) % 1.12/1.31 (define @t123 () (not @t93)) % 1.12/1.31 (define @t124 () (@list @t37 @t119 @t116)) % 1.12/1.31 (define @t125 () (not (forall @t124 (or @t123 @t122 @t121 @t118 (not (= @t117 @t115)))))) % 1.12/1.31 (define @t126 () (not (tptp.ssList @t115))) % 1.12/1.31 (define @t127 () (= @t2 tptp.nil)) % 1.12/1.31 (define @t128 () (tptp.app @t2 @t115)) % 1.12/1.31 (define @t129 () (and (not (= tptp.nil @t128)) @t127)) % 1.12/1.31 (define @t130 () (and (tptp.segmentP @t128 @t2) @t47)) % 1.12/1.31 (define @t131 () (not (tptp.ssList @t128))) % 1.12/1.31 (define @t132 () (not @t47)) % 1.12/1.31 (define @t133 () (not @t17)) % 1.12/1.31 (define @t134 () (or @t133 @t132 @t131 @t130 @t129 @t126 @t125)) % 1.12/1.31 (define @t135 () (@list @t2 @t115)) % 1.12/1.31 (define @t136 () (forall @t135 @t134)) % 1.12/1.31 (define @t137 () (@quantifiers_skolemize @t136 0)) % 1.12/1.31 (define @t138 () (or @t131 @t130 @t129 @t126 @t125)) % 1.12/1.31 (define @t139 () (or @t133 @t132 @t138)) % 1.12/1.31 (define @t140 () (forall @t135 @t139)) % 1.12/1.31 (define @t141 () (@list @t115)) % 1.12/1.31 (define @t142 () (forall @t141 @t139)) % 1.12/1.31 (define @t143 () (forall @t141 @t138)) % 1.12/1.31 (define @t144 () (@var "BOUND_VARIABLE_11112" $$unsorted)) % 1.12/1.31 (define @t145 () (@list @t144)) % 1.12/1.31 (define @t146 () (or @t133 @t132 @t143)) % 1.12/1.31 (define @t147 () (not (forall @t124 (or @t123 @t122 @t121 @t118 (not (= @t117 @t144)))))) % 1.12/1.31 (define @t148 () (not (tptp.ssList @t144))) % 1.12/1.31 (define @t149 () (tptp.app @t2 @t144)) % 1.12/1.31 (define @t150 () (and (not (= tptp.nil @t149)) @t127)) % 1.12/1.31 (define @t151 () (and (tptp.segmentP @t149 @t2) @t47)) % 1.12/1.31 (define @t152 () (not (tptp.ssList @t149))) % 1.12/1.31 (define @t153 () (or @t152 @t151 @t150 @t148 @t147)) % 1.12/1.31 (define @t154 () (@list @t144)) % 1.12/1.31 (define @t155 () (or @t133 @t132 (forall @t154 @t153))) % 1.12/1.31 (define @t156 () (not (= @t149 @t149))) % 1.12/1.31 (define @t157 () (not (= @t149 tptp.nil))) % 1.12/1.31 (define @t158 () (and @t157 @t127)) % 1.12/1.31 (define @t159 () (or @t152 @t151 @t158 @t148 @t156 @t147)) % 1.12/1.31 (define @t160 () (not (= @t1 @t149))) % 1.12/1.31 (define @t161 () (not (= @t1 tptp.nil))) % 1.12/1.31 (define @t162 () (and @t161 @t127)) % 1.12/1.31 (define @t163 () (not @t21)) % 1.12/1.31 (define @t164 () (or @t160 @t163 @t77 @t162 @t148 @t160 @t147)) % 1.12/1.31 (define @t165 () (or @t163 @t77 @t162 @t148 @t160 @t147)) % 1.12/1.31 (define @t166 () (forall @t7 @t165)) % 1.12/1.31 (define @t167 () (forall @t154 @t166)) % 1.12/1.31 (define @t168 () (forall (@list @t144 @t1) @t165)) % 1.12/1.31 (define @t169 () (@list @t1 @t144)) % 1.12/1.31 (define @t170 () (or @t148 @t160 @t147)) % 1.12/1.31 (define @t171 () (or @t163 @t77 @t162 @t170)) % 1.12/1.31 (define @t172 () (forall @t169 @t171)) % 1.12/1.31 (define @t173 () (forall @t154 @t171)) % 1.12/1.31 (define @t174 () (forall @t154 @t170)) % 1.12/1.31 (define @t175 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 1.12/1.31 (define @t176 () (@list @t175)) % 1.12/1.31 (define @t177 () (or @t163 @t77 @t162 @t174)) % 1.12/1.31 (define @t178 () (not (= @t117 @t175))) % 1.12/1.31 (define @t179 () (not (forall @t124 (or @t123 @t122 @t121 @t118 @t178)))) % 1.12/1.31 (define @t180 () (not (= @t1 (tptp.app @t2 @t175)))) % 1.12/1.31 (define @t181 () (not (tptp.ssList @t175))) % 1.12/1.31 (define @t182 () (or @t181 @t180 @t179)) % 1.12/1.31 (define @t183 () (@list @t175)) % 1.12/1.31 (define @t184 () (forall @t183 @t182)) % 1.12/1.31 (define @t185 () (or @t163 @t77 @t162 @t184)) % 1.12/1.31 (define @t186 () (forall @t7 @t185)) % 1.12/1.31 (define @t187 () (or @t133 @t132 @t186)) % 1.12/1.31 (define @t188 () (or @t133 @t132 @t185)) % 1.12/1.31 (define @t189 () (or @t163 @t77 @t133 @t132 @t162 @t184)) % 1.12/1.31 (define @t190 () (or @t77 @t163 @t133 @t132 @t162 @t184)) % 1.12/1.31 (define @t191 () (or @t133 @t132 @t162 @t184)) % 1.12/1.31 (define @t192 () (or @t133 @t132 @t162 @t182)) % 1.12/1.31 (define @t193 () (or @t133 @t132 @t162 @t181 @t180 @t179)) % 1.12/1.31 (define @t194 () (not (= @t2 @t2))) % 1.12/1.31 (define @t195 () (or @t133 @t194 @t132 @t162 @t181 @t180 @t179)) % 1.12/1.31 (define @t196 () (not (= @t12 @t120))) % 1.12/1.31 (define @t197 () (not (forall @t124 (or @t123 @t122 @t196 @t118 @t178)))) % 1.12/1.31 (define @t198 () (not (= @t1 (tptp.app @t12 @t175)))) % 1.12/1.31 (define @t199 () (= @t12 tptp.nil)) % 1.12/1.31 (define @t200 () (and @t161 @t199)) % 1.12/1.31 (define @t201 () (not @t15)) % 1.12/1.31 (define @t202 () (or @t102 @t201 @t102 @t96 @t200 @t181 @t198 @t197)) % 1.12/1.31 (define @t203 () (or @t201 @t102 @t96 @t200 @t181 @t198 @t197)) % 1.12/1.31 (define @t204 () (forall @t16 @t203)) % 1.12/1.31 (define @t205 () (forall @t183 @t204)) % 1.12/1.31 (define @t206 () (forall (@list @t175 @t12) @t203)) % 1.12/1.31 (define @t207 () (@list @t12 @t175)) % 1.12/1.31 (define @t208 () (or @t181 @t198 @t197)) % 1.12/1.31 (define @t209 () (or @t201 @t102 @t96 @t200 @t208)) % 1.12/1.31 (define @t210 () (forall @t207 @t209)) % 1.12/1.31 (define @t211 () (forall @t183 @t209)) % 1.12/1.31 (define @t212 () (forall @t183 @t208)) % 1.12/1.31 (define @t213 () (@var "BOUND_VARIABLE_11019" $$unsorted)) % 1.12/1.31 (define @t214 () (@list @t213)) % 1.12/1.31 (define @t215 () (or @t201 @t102 @t96 @t200 @t212)) % 1.12/1.31 (define @t216 () (not (forall @t124 (or @t123 @t122 @t196 @t118 (not (= @t117 @t213)))))) % 1.12/1.31 (define @t217 () (tptp.app @t12 @t213)) % 1.12/1.31 (define @t218 () (not (= @t1 @t217))) % 1.12/1.31 (define @t219 () (not (tptp.ssList @t213))) % 1.12/1.31 (define @t220 () (or @t219 @t218 @t216)) % 1.12/1.31 (define @t221 () (@list @t213)) % 1.12/1.31 (define @t222 () (forall @t221 @t220)) % 1.12/1.31 (define @t223 () (or @t201 @t102 @t96 @t200 @t222)) % 1.12/1.31 (define @t224 () (forall @t16 @t223)) % 1.12/1.31 (define @t225 () (or @t77 @t163 @t224)) % 1.12/1.31 (define @t226 () (or @t77 @t163 @t223)) % 1.12/1.31 (define @t227 () (or @t201 @t102 @t77 @t96 @t163 @t200 @t222)) % 1.12/1.31 (define @t228 () (or @t102 @t77 @t96 @t163 @t200 @t222)) % 1.12/1.31 (define @t229 () (or @t163 @t200 @t222)) % 1.12/1.31 (define @t230 () (or @t163 @t200 @t220)) % 1.12/1.31 (define @t231 () (or @t163 @t200 @t219 @t218 @t216)) % 1.12/1.31 (define @t232 () (not (= @t1 @t1))) % 1.12/1.31 (define @t233 () (or @t163 @t232 @t200 @t219 @t218 @t216)) % 1.12/1.31 (define @t234 () (not (= @t10 @t217))) % 1.12/1.31 (define @t235 () (and (not (= @t10 tptp.nil)) @t199)) % 1.12/1.31 (define @t236 () (not @t13)) % 1.12/1.31 (define @t237 () (or @t103 @t236 @t103 @t235 @t219 @t234 @t216)) % 1.12/1.31 (define @t238 () (or @t236 @t103 @t235 @t219 @t234 @t216)) % 1.12/1.31 (define @t239 () (forall @t14 @t238)) % 1.12/1.31 (define @t240 () (forall @t221 @t239)) % 1.12/1.31 (define @t241 () (forall (@list @t213 @t10) @t238)) % 1.12/1.31 (define @t242 () (@list @t10 @t213)) % 1.12/1.31 (define @t243 () (not (= @t213 @t117))) % 1.12/1.31 (define @t244 () (or @t123 @t122 @t196 @t118 @t243)) % 1.12/1.31 (define @t245 () (forall @t124 @t244)) % 1.12/1.31 (define @t246 () (not @t245)) % 1.12/1.31 (define @t247 () (or @t236 @t103 @t235 @t219 @t234 @t246)) % 1.12/1.31 (define @t248 () (or @t219 @t234 @t246)) % 1.12/1.31 (define @t249 () (or @t236 @t103 @t235 @t248)) % 1.12/1.31 (define @t250 () (forall @t242 @t249)) % 1.12/1.31 (define @t251 () (forall @t221 @t249)) % 1.12/1.31 (define @t252 () (forall @t221 @t248)) % 1.12/1.31 (define @t253 () (or @t236 @t103 @t235 @t252)) % 1.12/1.31 (define @t254 () (not (= @t38 @t117))) % 1.12/1.31 (define @t255 () (or @t123 @t122 @t196 @t118 @t254)) % 1.12/1.31 (define @t256 () (not (forall @t124 @t255))) % 1.12/1.31 (define @t257 () (not (= @t10 @t97))) % 1.12/1.31 (define @t258 () (not @t42)) % 1.12/1.31 (define @t259 () (or @t258 @t257 @t256)) % 1.12/1.31 (define @t260 () (forall @t43 @t259)) % 1.12/1.31 (define @t261 () (or @t236 @t103 @t235 @t260)) % 1.12/1.31 (define @t262 () (forall @t14 @t261)) % 1.12/1.31 (define @t263 () (or @t102 @t77 @t96 @t262)) % 1.12/1.31 (define @t264 () (or @t102 @t77 @t96 @t261)) % 1.12/1.31 (define @t265 () (or @t236 @t103 @t102 @t235 @t77 @t96 @t260)) % 1.12/1.31 (define @t266 () (or @t103 @t102 @t235 @t77 @t96 @t260)) % 1.12/1.31 (define @t267 () (or @t96 @t260)) % 1.12/1.31 (define @t268 () (or @t96 @t259)) % 1.12/1.31 (define @t269 () (or @t258 @t257 @t96 @t256)) % 1.12/1.31 (define @t270 () (or @t257 @t96 @t256)) % 1.12/1.31 (define @t271 () (or @t118 @t254)) % 1.12/1.31 (define @t272 () (or @t122 @t196)) % 1.12/1.31 (define @t273 () (or @t123 @t272 @t271)) % 1.12/1.31 (define @t274 () (forall @t124 @t273)) % 1.12/1.31 (define @t275 () (forall (@list @t119 @t116) @t273)) % 1.12/1.31 (define @t276 () (forall (@list @t116) @t271)) % 1.12/1.31 (define @t277 () (forall (@list @t119) @t272)) % 1.12/1.31 (define @t278 () (or @t123 @t277 @t276)) % 1.12/1.31 (define @t279 () (= @t38 @t88)) % 1.12/1.31 (define @t280 () (not @t279)) % 1.12/1.31 (define @t281 () (not @t89)) % 1.12/1.31 (define @t282 () (or @t281 @t280)) % 1.12/1.31 (define @t283 () (forall @t91 @t282)) % 1.12/1.31 (define @t284 () (= @t12 @t82)) % 1.12/1.31 (define @t285 () (forall @t85 (or (not @t83) (not @t284)))) % 1.12/1.31 (define @t286 () (or @t123 @t285 @t283)) % 1.12/1.31 (define @t287 () (or @t285 @t283)) % 1.12/1.31 (define @t288 () (not @t287)) % 1.12/1.31 (define @t289 () (and @t93 @t288)) % 1.12/1.31 (define @t290 () (forall @t41 (not @t289))) % 1.12/1.31 (define @t291 () (not @t290)) % 1.12/1.31 (define @t292 () (or @t285 @t282)) % 1.12/1.31 (define @t293 () (or @t281 @t280 @t285)) % 1.12/1.31 (define @t294 () (not @t285)) % 1.12/1.31 (define @t295 () (not @t294)) % 1.12/1.31 (define @t296 () (or @t281 @t280 @t295)) % 1.12/1.31 (define @t297 () (and @t89 @t279 @t294)) % 1.12/1.31 (define @t298 () (forall @t91 (not @t297))) % 1.12/1.31 (define @t299 () (not @t298)) % 1.12/1.31 (define @t300 () (and @t83 @t284)) % 1.12/1.31 (define @t301 () (forall @t85 (not @t300))) % 1.12/1.31 (define @t302 () (not @t301)) % 1.12/1.31 (define @t303 () (@quantifiers_skolemize @t136 1)) % 1.12/1.31 (define @t304 () (not (= @t117 @t303))) % 1.12/1.31 (define @t305 () (tptp.ssList @t303)) % 1.12/1.31 (define @t306 () (not @t305)) % 1.12/1.31 (define @t307 () (tptp.app @t137 @t303)) % 1.12/1.31 (define @t308 () (not (= tptp.nil @t307))) % 1.12/1.31 (define @t309 () (tptp.equalelemsP @t137)) % 1.12/1.31 (define @t310 () (tptp.segmentP @t307 @t137)) % 1.12/1.31 (define @t311 () (and @t310 @t309)) % 1.12/1.31 (define @t312 () (tptp.ssList @t307)) % 1.12/1.31 (define @t313 () (not @t312)) % 1.12/1.31 (define @t314 () (not @t309)) % 1.12/1.31 (define @t315 () (tptp.ssList @t137)) % 1.12/1.31 (define @t316 () (not @t315)) % 1.12/1.31 (define @t317 () (or @t316 @t314 @t313 @t311 (and @t308 (= tptp.nil @t137)) @t306 (not (forall @t124 (or @t123 @t122 (not (= @t120 @t137)) @t118 @t304))))) % 1.12/1.31 (define @t318 () (not @t317)) % 1.12/1.31 (define @t319 () (not @t136)) % 1.12/1.31 (define @t320 () (not (= @t137 @t120))) % 1.12/1.31 (define @t321 () (or @t123 @t122 @t320 @t118 @t304)) % 1.12/1.31 (define @t322 () (forall @t124 @t321)) % 1.12/1.31 (define @t323 () (not @t322)) % 1.12/1.31 (define @t324 () (and @t308 (= @t137 tptp.nil))) % 1.12/1.31 (define @t325 () (or @t316 @t314 @t313 @t311 @t324 @t306 @t323)) % 1.12/1.31 (define @t326 () (not @t325)) % 1.12/1.31 (define @t327 () (@list true)) % 1.12/1.31 (define @t328 () (@list @t317)) % 1.12/1.31 (define @t329 () (tptp.app tptp.nil @t137)) % 1.12/1.31 (define @t330 () (= @t137 @t329)) % 1.12/1.31 (define @t331 () (or @t316 @t330)) % 1.12/1.31 (define @t332 () (@list false false)) % 1.12/1.31 (define @t333 () (@list @t315 @t331)) % 1.12/1.31 (define @t334 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 1.12/1.31 (define @t335 () (@var "BOUND_VARIABLE_8423" $$unsorted)) % 1.12/1.31 (define @t336 () (not (tptp.ssList @t334))) % 1.12/1.31 (define @t337 () (@list @t12 @t334)) % 1.12/1.31 (define @t338 () (= (tptp.segmentP @t2 @t335) (not (forall @t337 (or @t201 @t336 (not (= @t2 (tptp.app (tptp.app @t12 @t335) @t334)))))))) % 1.12/1.31 (define @t339 () (not (tptp.ssList @t335))) % 1.12/1.31 (define @t340 () (or @t339 @t338)) % 1.12/1.31 (define @t341 () (or @t133 @t340)) % 1.12/1.31 (define @t342 () (forall (@list @t2 @t335) @t341)) % 1.12/1.31 (define @t343 () (@list @t335)) % 1.12/1.31 (define @t344 () (forall @t343 @t341)) % 1.12/1.31 (define @t345 () (forall @t343 @t340)) % 1.12/1.31 (define @t346 () (or @t133 @t345)) % 1.12/1.31 (define @t347 () (not (= @t2 (tptp.app @t22 @t334)))) % 1.12/1.31 (define @t348 () (or @t201 @t336 @t347)) % 1.12/1.31 (define @t349 () (= @t29 (not (forall @t337 @t348)))) % 1.12/1.31 (define @t350 () (forall @t7 (or @t163 @t349))) % 1.12/1.31 (define @t351 () (or @t336 @t347)) % 1.12/1.31 (define @t352 () (or @t201 @t351)) % 1.12/1.31 (define @t353 () (forall @t337 @t352)) % 1.12/1.31 (define @t354 () (@list @t334)) % 1.12/1.31 (define @t355 () (forall @t354 @t352)) % 1.12/1.31 (define @t356 () (forall @t354 @t351)) % 1.12/1.31 (define @t357 () (or @t201 @t356)) % 1.12/1.31 (define @t358 () (= @t2 @t24)) % 1.12/1.31 (define @t359 () (forall @t14 (or @t236 (not @t358)))) % 1.12/1.31 (define @t360 () (not @t359)) % 1.12/1.31 (define @t361 () (and @t15 @t360)) % 1.12/1.31 (define @t362 () (forall @t16 (not @t361))) % 1.12/1.31 (define @t363 () (not @t362)) % 1.12/1.31 (define @t364 () (and @t13 @t358)) % 1.12/1.31 (define @t365 () (forall @t14 (not @t364))) % 1.12/1.31 (define @t366 () (not @t365)) % 1.12/1.31 (define @t367 () (forall @t337 (or @t201 @t336 (not (= @t307 (tptp.app (tptp.app @t12 @t137) @t334)))))) % 1.12/1.31 (define @t368 () (not @t367)) % 1.12/1.31 (define @t369 () (= @t310 @t368)) % 1.12/1.31 (define @t370 () (or @t313 @t316 @t369)) % 1.12/1.31 (define @t371 () (@list false false false)) % 1.12/1.31 (define @t372 () (not @t310)) % 1.12/1.31 (define @t373 () (not @t369)) % 1.12/1.31 (define @t374 () (@list true false)) % 1.12/1.31 (define @t375 () (= @t307 (tptp.app @t329 @t303))) % 1.12/1.31 (define @t376 () (not @t375)) % 1.12/1.31 (define @t377 () (not @t49)) % 1.12/1.31 (define @t378 () (or @t377 @t306 @t376)) % 1.12/1.31 (define @t379 () (not @t330)) % 1.12/1.31 (define @t380 () (and @t375 @t376)) % 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 (= (tptp.strictorderedP @t2) (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 @t46)))))))))))))))) % 1.12/1.31 (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))))))))))))) % 1.12/1.31 (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 @t60) % 1.12/1.31 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 @t61) @t3)))))) % 1.12/1.31 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t62 @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 (= @t63 @t61)))))) % 1.12/1.31 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not @t64))))))) % 1.12/1.31 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t66)))))))) % 1.12/1.31 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t67 @t64)))))) % 1.12/1.31 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t68))))))))) % 1.12/1.31 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t68))))))))) % 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 @t69 @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 @t70) @t3)))))) % 1.12/1.31 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.12/1.31 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t69 @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 @t71)))) % 1.12/1.31 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.12/1.31 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 1.12/1.31 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.12/1.31 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 1.12/1.31 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.12/1.31 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 1.12/1.31 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.12/1.31 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 1.12/1.31 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 1.12/1.31 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.12/1.31 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 1.12/1.31 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 1.12/1.31 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.12/1.31 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 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 @t74 @t54 (= @t72 @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) @t76)))))))) % 1.12/1.31 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t57) @t76)))))))) % 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 @t73 @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 @t63 (tptp.geq @t1 @t2)) @t3)))))) % 1.12/1.31 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t63 (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 @t62 @t45) @t66)))))))) % 1.12/1.31 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t62 (or @t3 @t65))))))) % 1.12/1.31 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 (and @t4 @t62))))))) % 1.12/1.31 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (not (tptp.gt @t1 @t2)))))))) % 1.12/1.31 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t67 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.12/1.31 (assume @p96 @t113) % 1.12/1.31 (assume @p97 true) % 1.12/1.31 (step @p98 :rule bool-impl-elim :args (@t17 @t114)) % 1.12/1.31 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t114)))) % 1.12/1.31 (step @p100 :rule eq-symm :args (@t58 @t2)) % 1.12/1.31 (step @p101 :rule refl :args (@t17)) % 1.12/1.31 (step @p102 :rule cong :premises (@p101 @p100) :args (@t59)) % 1.12/1.31 (step @p103 :rule cong :premises (@p102) :args (@t60)) % 1.12/1.31 (step @p104 :rule trans :premises (@p103 @p99)) % 1.12/1.31 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 1.12/1.31 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t137))) % 1.12/1.31 (step @p107 :rule aci_norm :args ((= @t139 @t134))) % 1.12/1.31 (step @p108 :rule cong :premises (@p107) :args (@t140)) % 1.12/1.31 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t142) @t140))) % 1.12/1.31 (step @p110 :rule alpha_equiv :args (@t143 (@list @t115) @t145)) % 1.12/1.31 (step @p111 :rule refl :args (@t132)) % 1.12/1.31 (step @p112 :rule refl :args (@t133)) % 1.12/1.31 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t146)) % 1.12/1.31 (step @p114 :rule quant-miniscope-or :args ((= @t142 @t146))) % 1.12/1.31 (step @p115 :rule trans :premises (@p114 @p113)) % 1.12/1.31 (step @p116 :rule symm :premises (@p115)) % 1.12/1.31 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t155))) % 1.12/1.31 (step @p118 :rule trans :premises (@p117 @p109)) % 1.12/1.31 (step @p119 :rule trans :premises (@p118 @p108)) % 1.12/1.31 (step @p120 :rule aci_norm :args ((= (or @t133 @t155) @t155))) % 1.12/1.31 (step @p121 :rule bool-impl-elim :args (@t17 @t155)) % 1.12/1.31 (step @p122 :rule trans :premises (@p121 @p120)) % 1.12/1.31 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t155)))) % 1.12/1.31 (step @p124 :rule trans :premises (@p123 @p119)) % 1.12/1.31 (step @p125 :rule aci_norm :args ((= (or @t152 @t151 @t150 @t148 false @t147) @t153))) % 1.12/1.31 (step @p126 :rule refl :args (@t147)) % 1.12/1.31 (step @p127 :rule evaluate :args ((not true))) % 1.12/1.31 (step @p128 :rule eq-refl :args (@t149)) % 1.12/1.31 (step @p129 :rule cong :premises (@p128) :args (@t156)) % 1.12/1.31 (step @p130 :rule trans :premises (@p129 @p127)) % 1.12/1.31 (step @p131 :rule refl :args (@t148)) % 1.12/1.31 (step @p132 :rule refl :args (@t127)) % 1.12/1.31 (step @p133 :rule eq-symm :args (@t149 tptp.nil)) % 1.12/1.31 (step @p134 :rule cong :premises (@p133) :args (@t157)) % 1.12/1.31 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t158)) % 1.12/1.31 (step @p136 :rule refl :args (@t151)) % 1.12/1.31 (step @p137 :rule refl :args (@t152)) % 1.12/1.31 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p131 @p130 @p126) :args (@t159)) % 1.12/1.31 (step @p139 :rule trans :premises (@p138 @p125)) % 1.12/1.31 (step @p140 :rule cong :premises (@p139) :args ((forall @t154 @t159))) % 1.12/1.31 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t7 @t164) @t159))) % 1.12/1.31 (step @p142 :rule aci_norm :args ((= @t165 @t164))) % 1.12/1.31 (step @p143 :rule cong :premises (@p142) :args (@t166)) % 1.12/1.31 (step @p144 :rule trans :premises (@p143 @p141)) % 1.12/1.31 (step @p145 :rule cong :premises (@p144) :args (@t167)) % 1.12/1.31 (step @p146 :rule quant-merge-prenex :args ((= @t167 @t168))) % 1.12/1.31 (step @p147 :rule symm :premises (@p146)) % 1.12/1.31 (step @p148 :rule quant_var_reordering :args ((= (forall @t169 @t165) @t168))) % 1.12/1.31 (step @p149 :rule trans :premises (@p148 @p147 @p145)) % 1.12/1.31 (step @p150 :rule trans :premises (@p149 @p140)) % 1.12/1.31 (step @p151 :rule aci_norm :args ((= @t171 @t165))) % 1.12/1.31 (step @p152 :rule cong :premises (@p151) :args (@t172)) % 1.12/1.31 (step @p153 :rule trans :premises (@p152 @p150)) % 1.12/1.31 (step @p154 :rule quant-merge-prenex :args ((= (forall @t7 @t173) @t172))) % 1.12/1.31 (step @p155 :rule alpha_equiv :args (@t174 @t145 @t176)) % 1.12/1.31 (step @p156 :rule refl :args (@t162)) % 1.12/1.31 (step @p157 :rule refl :args (@t77)) % 1.12/1.31 (step @p158 :rule refl :args (@t163)) % 1.12/1.31 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155) :args (@t177)) % 1.12/1.31 (step @p160 :rule quant-miniscope-or :args ((= @t173 @t177))) % 1.12/1.31 (step @p161 :rule trans :premises (@p160 @p159)) % 1.12/1.31 (step @p162 :rule symm :premises (@p161)) % 1.12/1.31 (step @p163 :rule cong :premises (@p162) :args (@t186)) % 1.12/1.31 (step @p164 :rule trans :premises (@p163 @p154)) % 1.12/1.31 (step @p165 :rule trans :premises (@p164 @p153)) % 1.12/1.31 (step @p166 :rule refl :args (@t132)) % 1.12/1.31 (step @p167 :rule refl :args (@t133)) % 1.12/1.31 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args (@t187)) % 1.12/1.31 (step @p169 :rule quant-miniscope-or :args ((= (forall @t7 @t188) @t187))) % 1.12/1.31 (step @p170 :rule aci_norm :args ((= @t189 @t188))) % 1.12/1.31 (step @p171 :rule cong :premises (@p170) :args ((forall @t7 @t189))) % 1.12/1.31 (step @p172 :rule trans :premises (@p171 @p169)) % 1.12/1.31 (step @p173 :rule trans :premises (@p172 @p168)) % 1.12/1.31 (step @p174 :rule aci_norm :args ((= (or @t163 @t190) @t189))) % 1.12/1.31 (step @p175 :rule bool-impl-elim :args (@t21 @t190)) % 1.12/1.31 (step @p176 :rule trans :premises (@p175 @p174)) % 1.12/1.31 (step @p177 :rule cong :premises (@p176) :args ((forall @t7 (=> @t21 @t190)))) % 1.12/1.31 (step @p178 :rule trans :premises (@p177 @p173)) % 1.12/1.31 (step @p179 :rule aci_norm :args ((= (or @t77 @t163 @t191) @t190))) % 1.12/1.31 (step @p180 :rule quant-miniscope-or :args ((= (forall @t183 @t192) @t191))) % 1.12/1.31 (step @p181 :rule aci_norm :args ((= @t193 @t192))) % 1.12/1.31 (step @p182 :rule cong :premises (@p181) :args ((forall @t183 @t193))) % 1.12/1.31 (step @p183 :rule trans :premises (@p182 @p180)) % 1.12/1.31 (step @p184 :rule aci_norm :args ((= (or @t133 false @t132 @t162 @t181 @t180 @t179) @t193))) % 1.12/1.31 (step @p185 :rule refl :args (@t179)) % 1.12/1.31 (step @p186 :rule refl :args (@t180)) % 1.12/1.31 (step @p187 :rule refl :args (@t181)) % 1.12/1.31 (step @p188 :rule refl :args (@t162)) % 1.12/1.31 (step @p189 :rule eq-refl :args (@t2)) % 1.12/1.31 (step @p190 :rule cong :premises (@p189) :args (@t194)) % 1.12/1.31 (step @p191 :rule trans :premises (@p190 @p127)) % 1.12/1.31 (step @p192 :rule nary_cong :premises (@p167 @p191 @p166 @p188 @p187 @p186 @p185) :args (@t195)) % 1.12/1.31 (step @p193 :rule trans :premises (@p192 @p184)) % 1.12/1.31 (step @p194 :rule cong :premises (@p193) :args ((forall @t183 @t195))) % 1.12/1.31 (step @p195 :rule trans :premises (@p194 @p183)) % 1.12/1.31 (step @p196 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t76) @t201 @t102 @t96 @t200 @t181 @t198 @t197)) @t195))) % 1.12/1.31 (step @p197 :rule refl :args (@t197)) % 1.12/1.31 (step @p198 :rule refl :args (@t198)) % 1.12/1.31 (step @p199 :rule refl :args (@t181)) % 1.12/1.31 (step @p200 :rule refl :args (@t200)) % 1.12/1.31 (step @p201 :rule refl :args (@t96)) % 1.12/1.31 (step @p202 :rule refl :args (@t102)) % 1.12/1.31 (step @p203 :rule refl :args (@t201)) % 1.12/1.31 (step @p204 :rule eq-symm :args (@t2 @t12)) % 1.12/1.31 (step @p205 :rule cong :premises (@p204) :args (@t102)) % 1.12/1.31 (step @p206 :rule nary_cong :premises (@p205 @p203 @p202 @p201 @p200 @p199 @p198 @p197) :args (@t202)) % 1.12/1.31 (step @p207 :rule aci_norm :args ((= @t203 @t202))) % 1.12/1.31 (step @p208 :rule trans :premises (@p207 @p206)) % 1.12/1.31 (step @p209 :rule cong :premises (@p208) :args (@t204)) % 1.12/1.31 (step @p210 :rule trans :premises (@p209 @p196)) % 1.12/1.31 (step @p211 :rule cong :premises (@p210) :args (@t205)) % 1.12/1.31 (step @p212 :rule quant-merge-prenex :args ((= @t205 @t206))) % 1.12/1.31 (step @p213 :rule symm :premises (@p212)) % 1.12/1.31 (step @p214 :rule quant_var_reordering :args ((= (forall @t207 @t203) @t206))) % 1.12/1.31 (step @p215 :rule trans :premises (@p214 @p213 @p211)) % 1.12/1.31 (step @p216 :rule trans :premises (@p215 @p195)) % 1.12/1.31 (step @p217 :rule aci_norm :args ((= @t209 @t203))) % 1.12/1.31 (step @p218 :rule cong :premises (@p217) :args (@t210)) % 1.12/1.31 (step @p219 :rule trans :premises (@p218 @p216)) % 1.12/1.31 (step @p220 :rule quant-merge-prenex :args ((= (forall @t16 @t211) @t210))) % 1.12/1.31 (step @p221 :rule alpha_equiv :args (@t212 @t176 @t214)) % 1.12/1.31 (step @p222 :rule nary_cong :premises (@p203 @p202 @p201 @p200 @p221) :args (@t215)) % 1.12/1.31 (step @p223 :rule quant-miniscope-or :args ((= @t211 @t215))) % 1.12/1.31 (step @p224 :rule trans :premises (@p223 @p222)) % 1.12/1.31 (step @p225 :rule symm :premises (@p224)) % 1.12/1.31 (step @p226 :rule cong :premises (@p225) :args (@t224)) % 1.12/1.31 (step @p227 :rule trans :premises (@p226 @p220)) % 1.12/1.31 (step @p228 :rule trans :premises (@p227 @p219)) % 1.12/1.31 (step @p229 :rule refl :args (@t163)) % 1.12/1.31 (step @p230 :rule refl :args (@t77)) % 1.12/1.31 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228) :args (@t225)) % 1.12/1.31 (step @p232 :rule trans :premises (@p231 @p179)) % 1.12/1.31 (step @p233 :rule quant-miniscope-or :args ((= (forall @t16 @t226) @t225))) % 1.12/1.31 (step @p234 :rule aci_norm :args ((= @t227 @t226))) % 1.12/1.31 (step @p235 :rule cong :premises (@p234) :args ((forall @t16 @t227))) % 1.12/1.31 (step @p236 :rule trans :premises (@p235 @p233)) % 1.12/1.31 (step @p237 :rule trans :premises (@p236 @p232)) % 1.12/1.31 (step @p238 :rule aci_norm :args ((= (or @t201 @t228) @t227))) % 1.12/1.31 (step @p239 :rule bool-impl-elim :args (@t15 @t228)) % 1.12/1.31 (step @p240 :rule trans :premises (@p239 @p238)) % 1.12/1.31 (step @p241 :rule cong :premises (@p240) 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cong :premises (@p474) :args ((forall @t9 (=> @t17 @t350)))) % 1.12/1.31 (step @p476 :rule trans :premises (@p475 @p473)) % 1.12/1.31 (step @p477 :rule bool-impl-elim :args (@t21 @t349)) % 1.12/1.31 (step @p478 :rule cong :premises (@p477) :args ((forall @t7 (=> @t21 @t349)))) % 1.12/1.31 (step @p479 :rule aci_norm :args ((= @t352 @t348))) % 1.12/1.31 (step @p480 :rule cong :premises (@p479) :args (@t353)) % 1.12/1.31 (step @p481 :rule quant-merge-prenex :args ((= (forall @t16 @t355) @t353))) % 1.12/1.31 (step @p482 :rule alpha_equiv :args (@t356 (@list @t334) (@list @t10))) % 1.12/1.31 (step @p483 :rule nary_cong :premises (@p203 @p482) :args (@t357)) % 1.12/1.31 (step @p484 :rule quant-miniscope-or :args ((= @t355 @t357))) % 1.12/1.31 (step @p485 :rule trans :premises (@p484 @p483)) % 1.12/1.31 (step @p486 :rule symm :premises (@p485)) % 1.12/1.31 (step @p487 :rule cong :premises (@p486) :args ((forall @t16 (or @t201 @t359)))) % 1.12/1.31 (step @p488 :rule trans :premises (@p487 @p481)) % 1.12/1.31 (step @p489 :rule trans :premises (@p488 @p480)) % 1.12/1.31 (step @p490 :rule bool-double-not-elim :args (@t359)) % 1.12/1.31 (step @p491 :rule nary_cong :premises (@p203 @p490) :args ((or @t201 (not @t360)))) % 1.12/1.31 (step @p492 :rule bool-and-de-morgan :args (@t15 @t360 true)) % 1.12/1.31 (step @p493 :rule trans :premises (@p492 @p491)) % 1.12/1.31 (step @p494 :rule cong :premises (@p493) :args (@t362)) % 1.12/1.31 (step @p495 :rule trans :premises (@p494 @p489)) % 1.12/1.31 (step @p496 :rule cong :premises (@p495) :args (@t363)) % 1.12/1.31 (step @p497 :rule exists-elim :args ((= (exists @t16 @t361) @t363))) % 1.12/1.31 (step @p498 :rule trans :premises (@p497 @p496)) % 1.12/1.31 (step @p499 :rule bool-and-de-morgan :args (@t13 @t358 true)) % 1.12/1.31 (step @p500 :rule cong :premises (@p499) :args (@t365)) % 1.12/1.31 (step @p501 :rule cong :premises (@p500) :args (@t366)) % 1.12/1.31 (step @p502 :rule exists-elim :args ((= (exists @t14 @t364) @t366))) % 1.12/1.31 (step @p503 :rule trans :premises (@p502 @p501)) % 1.12/1.31 (step @p504 :rule eq-symm :args (@t24 @t2)) % 1.12/1.31 (step @p505 :rule nary_cong :premises (@p407 @p504) :args (@t25)) % 1.12/1.31 (step @p506 :rule cong :premises (@p505) :args (@t26)) % 1.12/1.31 (step @p507 :rule trans :premises (@p506 @p503)) % 1.12/1.31 (step @p508 :rule nary_cong :premises (@p411 @p507) :args (@t27)) % 1.12/1.31 (step @p509 :rule cong :premises (@p508) :args (@t28)) % 1.12/1.31 (step @p510 :rule trans :premises (@p509 @p498)) % 1.12/1.31 (step @p511 :rule refl :args (@t29)) % 1.12/1.31 (step @p512 :rule cong :premises (@p511 @p510) :args (@t30)) % 1.12/1.31 (step @p513 :rule cong :premises (@p415 @p512) :args (@t31)) % 1.12/1.31 (step @p514 :rule cong :premises (@p513) :args (@t32)) % 1.12/1.31 (step @p515 :rule trans :premises (@p514 @p478)) % 1.12/1.31 (step @p516 :rule cong :premises (@p101 @p515) :args (@t33)) % 1.12/1.31 (step @p517 :rule cong :premises (@p516) :args (@t34)) % 1.12/1.31 (step @p518 :rule trans :premises (@p517 @p476)) % 1.12/1.31 (step @p519 :rule eq_resolve :premises (@p7 @p518)) % 1.12/1.31 (step @p520 :rule instantiate :premises (@p519) :args ((@list @t307 @t137))) % 1.12/1.31 (step @p521 :rule bool-double-not-elim :args (@t312)) % 1.12/1.31 (step @p522 :rule nary_cong :premises (@p454 @p521) :args ((or @t317 (not @t313)))) % 1.12/1.31 (step @p523 :rule cnf_or_neg :args (@t317 2)) % 1.12/1.31 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 1.12/1.31 (step @p525 :rule reordering :premises (@p524) :args ((or @t312 @t317))) % 1.12/1.31 (step @p526 :rule chain_m_resolution :premises (@p525 @p452) :args (@t312 @t327 @t328)) % 1.12/1.31 (step @p527 :rule cnf_or_pos :args (@t370)) % 1.12/1.31 (step @p528 :rule reordering :premises (@p527) :args ((or @t316 @t313 @t369 (not @t370)))) % 1.12/1.31 (step @p529 :rule chain_m_resolution :premises (@p528 @p459 @p526 @p520) :args (@t369 @t371 (@list @t315 @t312 @t370))) % 1.12/1.31 (step @p530 :rule cnf_or_neg :args (@t317 3)) % 1.12/1.31 (step @p531 :rule chain_m_resolution :premises (@p530 @p452) :args ((not @t311) @t327 @t328)) % 1.12/1.31 (step @p532 :rule bool-double-not-elim :args (@t309)) % 1.12/1.31 (step @p533 :rule nary_cong :premises (@p454 @p532) :args ((or @t317 (not @t314)))) % 1.12/1.31 (step @p534 :rule cnf_or_neg :args (@t317 1)) % 1.12/1.31 (step @p535 :rule eq_resolve :premises (@p534 @p533)) % 1.12/1.31 (step @p536 :rule reordering :premises (@p535) :args ((or @t309 @t317))) % 1.12/1.31 (step @p537 :rule chain_m_resolution :premises (@p536 @p452) :args (@t309 @t327 @t328)) % 1.12/1.31 (step @p538 :rule cnf_and_neg :args (@t311)) % 1.12/1.31 (step @p539 :rule reordering :premises (@p538) :args ((or @t314 @t311 @t372))) % 1.12/1.31 (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p531) :args (@t372 (@list false true) (@list @t309 @t311))) % 1.12/1.31 (step @p541 :rule bool-double-not-elim :args (@t367)) % 1.12/1.31 (step @p542 :rule refl :args (@t310)) % 1.12/1.31 (step @p543 :rule refl :args (@t373)) % 1.12/1.31 (step @p544 :rule nary_cong :premises (@p543 @p542 @p541) :args ((or @t373 @t310 (not @t368)))) % 1.12/1.31 (step @p545 :rule cnf_equiv_pos2 :args (@t369)) % 1.12/1.31 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 1.12/1.31 (step @p547 :rule reordering :premises (@p546) :args ((or @t310 @t367 @t373))) % 1.12/1.31 (step @p548 :rule chain_m_resolution :premises (@p547 @p540 @p529) :args (@t367 @t374 (@list @t310 @t369))) % 1.12/1.31 (step @p549 :rule instantiate :premises (@p548) :args ((@list tptp.nil @t303))) % 1.12/1.31 (step @p550 :rule bool-double-not-elim :args (@t305)) % 1.12/1.31 (step @p551 :rule nary_cong :premises (@p454 @p550) :args ((or @t317 (not @t306)))) % 1.12/1.31 (step @p552 :rule cnf_or_neg :args (@t317 5)) % 1.12/1.31 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 1.12/1.31 (step @p554 :rule reordering :premises (@p553) :args ((or @t305 @t317))) % 1.12/1.31 (step @p555 :rule chain_m_resolution :premises (@p554 @p452) :args (@t305 @t327 @t328)) % 1.12/1.31 (step @p556 :rule cnf_or_pos :args (@t378)) % 1.12/1.31 (step @p557 :rule reordering :premises (@p556) :args ((or @t377 @t306 @t376 (not @t378)))) % 1.12/1.31 (step @p558 :rule chain_m_resolution :premises (@p557 @p17 @p555 @p549) :args (@t376 @t371 (@list @t49 @t305 @t378))) % 1.12/1.31 (step @p559 :rule bool-double-not-elim :args (@t375)) % 1.12/1.31 (step @p560 :rule refl :args (@t379)) % 1.12/1.31 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or @t379 (not @t376)))) % 1.12/1.31 (assume-push @p590 @t375) % 1.12/1.31 (assume-push @p591 @t376) % 1.12/1.31 (step @p564 :rule evaluate :args ((= true false))) % 1.12/1.31 (step @p565 :rule false_intro :premises (@p558)) % 1.12/1.31 (step @p566 :rule refl :args (@t303)) % 1.12/1.31 (step @p567 :rule chain_m_resolution :premises (@p461 @p459 @p106) :args (@t330 @t332 @t333)) % 1.12/1.31 (step @p568 :rule cong :premises (@p567 @p566) :args (@t307)) % 1.12/1.31 (step @p569 :rule true_intro :premises (@p568)) % 1.12/1.31 (step @p570 :rule symm :premises (@p569)) % 1.12/1.31 (step @p571 :rule trans :premises (@p570 @p565)) % 1.12/1.31 (step @p572 false :rule eq_resolve :premises (@p571 @p564)) % 1.12/1.31 (step-pop @p592 :rule scope :premises (@p572)) % 1.12/1.31 (step-pop @p593 :rule scope :premises (@p592)) % 1.12/1.31 (step @p573 :rule process_scope :premises (@p593) :args (false)) % 1.12/1.31 (assume-push @p594 @t330) % 1.12/1.31 (assume-push @p595 @t376) % 1.12/1.31 (step @p566 :rule refl :args (@t303)) % 1.12/1.31 (step @p578 :rule cong :premises (@p462 @p566) :args (@t307)) % 1.12/1.31 (step @p579 :rule and_intro :premises (@p578 @p558)) % 1.12/1.31 (step-pop @p596 :rule scope :premises (@p579)) % 1.12/1.31 (step-pop @p597 :rule scope :premises (@p596)) % 1.12/1.31 (step @p580 :rule process_scope :premises (@p597) :args (@t380)) % 1.12/1.31 (step @p583 :rule implies_elim :premises (@p580)) % 1.12/1.31 (step @p584 :rule resolution :premises (@p583 @p573) :args (true @t380)) % 1.12/1.31 (step @p585 :rule not_and :premises (@p584)) % 1.12/1.31 (step @p586 :rule eq_resolve :premises (@p585 @p561)) % 1.12/1.31 (step @p587 false :rule chain_m_resolution :premises (@p586 @p558 @p462) :args (false @t374 (@list @t375 @t330))) % 1.12/1.31 ) % 1.12/1.31 % SZS output end Proof % 1.12/1.31 % cvc5 exiting %------------------------------------------------------------------------------