%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC076+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 : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:57:57 AM UTC 2026 % Result : Theorem 1.31s 1.55s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC076+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:13:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 1.31/1.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.31/1.55 % SZS status Theorem % 1.31/1.55 % SZS output start Proof % 1.31/1.55 ( % 1.31/1.55 (declare-sort $$unsorted 0) % 1.31/1.55 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.31/1.55 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.31/1.55 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.55 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.55 (declare-const tptp.nil $$unsorted) % 1.31/1.55 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.31/1.55 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.31/1.55 (define @t1 () (@var "V" $$unsorted)) % 1.31/1.55 (define @t2 () (@var "U" $$unsorted)) % 1.31/1.55 (define @t3 () (= @t2 @t1)) % 1.31/1.55 (define @t4 () (not @t3)) % 1.31/1.55 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.31/1.55 (define @t6 () (tptp.ssItem @t1)) % 1.31/1.55 (define @t7 () (@list @t1)) % 1.31/1.55 (define @t8 () (tptp.ssItem @t2)) % 1.31/1.55 (define @t9 () (@list @t2)) % 1.31/1.55 (define @t10 () (@var "X" $$unsorted)) % 1.31/1.55 (define @t11 () (tptp.cons @t1 @t10)) % 1.31/1.55 (define @t12 () (@var "W" $$unsorted)) % 1.31/1.55 (define @t13 () (tptp.ssList @t10)) % 1.31/1.55 (define @t14 () (@list @t10)) % 1.31/1.55 (define @t15 () (tptp.ssList @t12)) % 1.31/1.55 (define @t16 () (@list @t12)) % 1.31/1.55 (define @t17 () (tptp.ssList @t2)) % 1.31/1.55 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.31/1.55 (define @t19 () (tptp.app @t1 @t12)) % 1.31/1.55 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.31/1.55 (define @t21 () (tptp.ssList @t1)) % 1.31/1.55 (define @t22 () (tptp.app @t12 @t1)) % 1.31/1.55 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.31/1.55 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.31/1.55 (define @t25 () (tptp.leq @t12 @t1)) % 1.31/1.55 (define @t26 () (tptp.leq @t1 @t12)) % 1.31/1.55 (define @t27 () (@var "Z" $$unsorted)) % 1.31/1.55 (define @t28 () (@var "Y" $$unsorted)) % 1.31/1.55 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.31/1.55 (define @t30 () (tptp.ssList @t27)) % 1.31/1.55 (define @t31 () (@list @t27)) % 1.31/1.55 (define @t32 () (tptp.ssList @t28)) % 1.31/1.55 (define @t33 () (@list @t28)) % 1.31/1.55 (define @t34 () (tptp.ssItem @t12)) % 1.31/1.55 (define @t35 () (tptp.lt @t1 @t12)) % 1.31/1.55 (define @t36 () (= @t1 @t12)) % 1.31/1.55 (define @t37 () (tptp.equalelemsP @t2)) % 1.31/1.55 (define @t38 () (forall @t7 (=> @t21 @t5))) % 1.31/1.55 (define @t39 () (=> @t17 @t38)) % 1.31/1.55 (define @t40 () (forall @t9 @t39)) % 1.31/1.55 (define @t41 () (tptp.cons @t1 @t2)) % 1.31/1.55 (define @t42 () (tptp.ssList tptp.nil)) % 1.31/1.55 (define @t43 () (= @t1 @t2)) % 1.31/1.55 (define @t44 () (tptp.cons @t12 @t1)) % 1.31/1.55 (define @t45 () (= tptp.nil @t2)) % 1.31/1.55 (define @t46 () (tptp.hd @t2)) % 1.31/1.55 (define @t47 () (not @t45)) % 1.31/1.55 (define @t48 () (tptp.tl @t2)) % 1.31/1.55 (define @t49 () (tptp.app @t2 @t1)) % 1.31/1.55 (define @t50 () (tptp.app @t1 @t2)) % 1.31/1.55 (define @t51 () (tptp.leq @t1 @t2)) % 1.31/1.55 (define @t52 () (tptp.leq @t2 @t1)) % 1.31/1.55 (define @t53 () (tptp.geq @t2 @t1)) % 1.31/1.55 (define @t54 () (tptp.lt @t1 @t2)) % 1.31/1.55 (define @t55 () (tptp.lt @t2 @t1)) % 1.31/1.55 (define @t56 () (tptp.lt @t2 @t12)) % 1.31/1.55 (define @t57 () (tptp.gt @t2 @t1)) % 1.31/1.55 (define @t58 () (tptp.memberP @t12 @t2)) % 1.31/1.55 (define @t59 () (tptp.app @t12 @t2)) % 1.31/1.55 (define @t60 () (tptp.segmentP @t2 @t2)) % 1.31/1.55 (define @t61 () (forall @t9 (=> @t17 @t60))) % 1.31/1.55 (define @t62 () (tptp.segmentP (tptp.app @t59 @t10) @t1)) % 1.31/1.55 (define @t63 () (=> @t24 @t62)) % 1.31/1.55 (define @t64 () (forall @t14 (=> @t13 @t63))) % 1.31/1.55 (define @t65 () (=> @t15 @t64)) % 1.31/1.55 (define @t66 () (forall @t16 @t65)) % 1.31/1.55 (define @t67 () (=> @t21 @t66)) % 1.31/1.55 (define @t68 () (forall @t7 @t67)) % 1.31/1.55 (define @t69 () (=> @t17 @t68)) % 1.31/1.55 (define @t70 () (forall @t9 @t69)) % 1.31/1.55 (define @t71 () (tptp.cons @t2 tptp.nil)) % 1.31/1.55 (define @t72 () (tptp.hd @t1)) % 1.31/1.55 (define @t73 () (= tptp.nil @t1)) % 1.31/1.55 (define @t74 () (not @t73)) % 1.31/1.55 (define @t75 () (tptp.cons @t2 @t1)) % 1.31/1.55 (define @t76 () (= @t12 @t2)) % 1.31/1.55 (define @t77 () (and @t73 @t45)) % 1.31/1.55 (define @t78 () (not (= tptp.nil @t10))) % 1.31/1.55 (define @t79 () (and @t78 (= tptp.nil @t12))) % 1.31/1.55 (define @t80 () (@var "X5" $$unsorted)) % 1.31/1.55 (define @t81 () (tptp.cons @t80 tptp.nil)) % 1.31/1.55 (define @t82 () (@var "X7" $$unsorted)) % 1.31/1.55 (define @t83 () (tptp.app @t82 @t81)) % 1.31/1.55 (define @t84 () (tptp.ssList @t82)) % 1.31/1.55 (define @t85 () (and @t84 (= @t83 @t12))) % 1.31/1.55 (define @t86 () (@list @t82)) % 1.31/1.55 (define @t87 () (exists @t86 @t85)) % 1.31/1.55 (define @t88 () (@var "X1" $$unsorted)) % 1.31/1.55 (define @t89 () (@var "X6" $$unsorted)) % 1.31/1.55 (define @t90 () (tptp.app @t81 @t89)) % 1.31/1.55 (define @t91 () (tptp.ssList @t89)) % 1.31/1.55 (define @t92 () (and @t91 (= @t90 @t88) @t87)) % 1.31/1.55 (define @t93 () (@list @t89)) % 1.31/1.55 (define @t94 () (exists @t93 @t92)) % 1.31/1.55 (define @t95 () (tptp.ssItem @t80)) % 1.31/1.55 (define @t96 () (and @t95 @t94)) % 1.31/1.55 (define @t97 () (@list @t80)) % 1.31/1.55 (define @t98 () (exists @t97 @t96)) % 1.31/1.55 (define @t99 () (@var "X4" $$unsorted)) % 1.31/1.55 (define @t100 () (@var "X2" $$unsorted)) % 1.31/1.55 (define @t101 () (tptp.cons @t100 tptp.nil)) % 1.31/1.55 (define @t102 () (tptp.app @t101 @t99)) % 1.31/1.55 (define @t103 () (tptp.ssList @t99)) % 1.31/1.55 (define @t104 () (and @t103 (= @t102 @t12))) % 1.31/1.55 (define @t105 () (@list @t99)) % 1.31/1.55 (define @t106 () (exists @t105 @t104)) % 1.31/1.55 (define @t107 () (@var "X3" $$unsorted)) % 1.31/1.55 (define @t108 () (tptp.app @t107 @t101)) % 1.31/1.55 (define @t109 () (tptp.ssList @t107)) % 1.31/1.55 (define @t110 () (and @t109 (= @t108 @t27) @t106)) % 1.31/1.55 (define @t111 () (@list @t107)) % 1.31/1.55 (define @t112 () (exists @t111 @t110)) % 1.31/1.55 (define @t113 () (tptp.ssItem @t100)) % 1.31/1.55 (define @t114 () (and @t113 @t112)) % 1.31/1.55 (define @t115 () (@list @t100)) % 1.31/1.55 (define @t116 () (exists @t115 @t114)) % 1.31/1.55 (define @t117 () (not (tptp.equalelemsP @t12))) % 1.31/1.55 (define @t118 () (tptp.app @t27 @t12)) % 1.31/1.55 (define @t119 () (tptp.app @t118 @t88)) % 1.31/1.55 (define @t120 () (not (= @t119 @t10))) % 1.31/1.55 (define @t121 () (or @t120 @t117 @t116 @t98)) % 1.31/1.55 (define @t122 () (tptp.ssList @t88)) % 1.31/1.55 (define @t123 () (=> @t122 @t121)) % 1.31/1.55 (define @t124 () (@list @t88)) % 1.31/1.55 (define @t125 () (forall @t124 @t123)) % 1.31/1.55 (define @t126 () (=> @t30 @t125)) % 1.31/1.55 (define @t127 () (forall @t31 @t126)) % 1.31/1.55 (define @t128 () (tptp.segmentP @t2 @t28)) % 1.31/1.55 (define @t129 () (tptp.segmentP @t1 @t28)) % 1.31/1.55 (define @t130 () (tptp.neq @t28 tptp.nil)) % 1.31/1.55 (define @t131 () (and @t32 @t130 @t129 @t128)) % 1.31/1.55 (define @t132 () (exists @t33 @t131)) % 1.31/1.55 (define @t133 () (not (= @t2 @t12))) % 1.31/1.55 (define @t134 () (not (= @t1 @t10))) % 1.31/1.55 (define @t135 () (or @t134 @t133 @t132 @t127 @t79 @t77)) % 1.31/1.55 (define @t136 () (=> @t13 @t135)) % 1.31/1.55 (define @t137 () (forall @t14 @t136)) % 1.31/1.55 (define @t138 () (=> @t15 @t137)) % 1.31/1.55 (define @t139 () (forall @t16 @t138)) % 1.31/1.55 (define @t140 () (=> @t21 @t139)) % 1.31/1.55 (define @t141 () (forall @t7 @t140)) % 1.31/1.55 (define @t142 () (=> @t17 @t141)) % 1.31/1.55 (define @t143 () (forall @t9 @t142)) % 1.31/1.55 (define @t144 () (not @t143)) % 1.31/1.55 (define @t145 () (@var "BOUND_VARIABLE_11324" $$unsorted)) % 1.31/1.55 (define @t146 () (@var "BOUND_VARIABLE_11080" $$unsorted)) % 1.31/1.55 (define @t147 () (tptp.app @t81 @t146)) % 1.31/1.55 (define @t148 () (not (tptp.ssList @t146))) % 1.31/1.55 (define @t149 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 1.31/1.55 (define @t150 () (tptp.app @t149 @t81)) % 1.31/1.55 (define @t151 () (not (= @t2 @t150))) % 1.31/1.55 (define @t152 () (not (tptp.ssList @t149))) % 1.31/1.55 (define @t153 () (not @t95)) % 1.31/1.55 (define @t154 () (@list @t80 @t149 @t146)) % 1.31/1.55 (define @t155 () (not (forall @t154 (or @t153 @t152 @t151 @t148 (not (= @t147 @t145)))))) % 1.31/1.55 (define @t156 () (not (tptp.ssList @t145))) % 1.31/1.55 (define @t157 () (@var "BOUND_VARIABLE_11322" $$unsorted)) % 1.31/1.55 (define @t158 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 1.31/1.55 (define @t159 () (tptp.app @t158 @t101)) % 1.31/1.55 (define @t160 () (not (tptp.ssList @t158))) % 1.31/1.55 (define @t161 () (@var "BOUND_VARIABLE_11017" $$unsorted)) % 1.31/1.55 (define @t162 () (tptp.app @t101 @t161)) % 1.31/1.55 (define @t163 () (not (= @t2 @t162))) % 1.31/1.55 (define @t164 () (not (tptp.ssList @t161))) % 1.31/1.55 (define @t165 () (not @t113)) % 1.31/1.55 (define @t166 () (@list @t100 @t161 @t158)) % 1.31/1.55 (define @t167 () (not (forall @t166 (or @t165 @t164 @t163 @t160 (not (= @t159 @t157)))))) % 1.31/1.55 (define @t168 () (not (tptp.ssList @t157))) % 1.31/1.55 (define @t169 () (= @t2 tptp.nil)) % 1.31/1.55 (define @t170 () (tptp.app (tptp.app @t157 @t2) @t145)) % 1.31/1.55 (define @t171 () (= tptp.nil @t170)) % 1.31/1.55 (define @t172 () (and (not @t171) @t169)) % 1.31/1.55 (define @t173 () (and @t171 @t169)) % 1.31/1.55 (define @t174 () (not @t128)) % 1.31/1.55 (define @t175 () (not @t130)) % 1.31/1.55 (define @t176 () (not @t32)) % 1.31/1.55 (define @t177 () (not (forall @t33 (or @t176 @t175 (not (tptp.segmentP @t170 @t28)) @t174)))) % 1.31/1.55 (define @t178 () (not (tptp.ssList @t170))) % 1.31/1.55 (define @t179 () (not @t37)) % 1.31/1.55 (define @t180 () (not @t17)) % 1.31/1.55 (define @t181 () (or @t180 @t179 @t178 @t177 @t173 @t172 @t168 @t167 @t156 @t155)) % 1.31/1.55 (define @t182 () (or @t178 @t177 @t173 @t172 @t168 @t167 @t156 @t155)) % 1.31/1.55 (define @t183 () (or @t180 @t179 @t182)) % 1.31/1.55 (define @t184 () (@list @t2 @t157 @t145)) % 1.31/1.55 (define @t185 () (forall @t184 @t183)) % 1.31/1.55 (define @t186 () (@list @t157 @t145)) % 1.31/1.55 (define @t187 () (forall @t186 @t183)) % 1.31/1.55 (define @t188 () (forall @t186 @t182)) % 1.31/1.55 (define @t189 () (@var "BOUND_VARIABLE_11269" $$unsorted)) % 1.31/1.55 (define @t190 () (@var "BOUND_VARIABLE_11267" $$unsorted)) % 1.31/1.55 (define @t191 () (@list @t190 @t189)) % 1.31/1.55 (define @t192 () (or @t180 @t179 @t188)) % 1.31/1.55 (define @t193 () (not (forall @t154 (or @t153 @t152 @t151 @t148 (not (= @t147 @t189)))))) % 1.31/1.55 (define @t194 () (not (tptp.ssList @t189))) % 1.31/1.55 (define @t195 () (not (forall @t166 (or @t165 @t164 @t163 @t160 (not (= @t159 @t190)))))) % 1.31/1.55 (define @t196 () (not (tptp.ssList @t190))) % 1.31/1.55 (define @t197 () (tptp.app (tptp.app @t190 @t2) @t189)) % 1.31/1.55 (define @t198 () (= tptp.nil @t197)) % 1.31/1.55 (define @t199 () (and (not @t198) @t169)) % 1.31/1.55 (define @t200 () (and @t198 @t169)) % 1.31/1.55 (define @t201 () (not (forall @t33 (or @t176 @t175 (not (tptp.segmentP @t197 @t28)) @t174)))) % 1.31/1.55 (define @t202 () (not (tptp.ssList @t197))) % 1.31/1.55 (define @t203 () (or @t202 @t201 @t200 @t199 @t196 @t195 @t194 @t193)) % 1.31/1.55 (define @t204 () (@list @t190 @t189)) % 1.31/1.55 (define @t205 () (or @t180 @t179 (forall @t204 @t203))) % 1.31/1.55 (define @t206 () (not (= @t197 @t197))) % 1.31/1.55 (define @t207 () (= @t197 tptp.nil)) % 1.31/1.55 (define @t208 () (not @t207)) % 1.31/1.55 (define @t209 () (and @t208 @t169)) % 1.31/1.55 (define @t210 () (and @t207 @t169)) % 1.31/1.55 (define @t211 () (or @t202 @t201 @t210 @t209 @t196 @t195 @t194 @t206 @t193)) % 1.31/1.55 (define @t212 () (not (= @t1 @t197))) % 1.31/1.55 (define @t213 () (= @t1 tptp.nil)) % 1.31/1.55 (define @t214 () (not @t213)) % 1.31/1.55 (define @t215 () (and @t214 @t169)) % 1.31/1.55 (define @t216 () (and @t213 @t169)) % 1.31/1.55 (define @t217 () (not @t129)) % 1.31/1.55 (define @t218 () (or @t176 @t175 @t217 @t174)) % 1.31/1.55 (define @t219 () (not (forall @t33 @t218))) % 1.31/1.55 (define @t220 () (not @t21)) % 1.31/1.55 (define @t221 () (or @t212 @t220 @t219 @t216 @t215 @t196 @t195 @t194 @t212 @t193)) % 1.31/1.55 (define @t222 () (or @t220 @t219 @t216 @t215 @t196 @t195 @t194 @t212 @t193)) % 1.31/1.55 (define @t223 () (forall @t7 @t222)) % 1.31/1.55 (define @t224 () (forall @t204 @t223)) % 1.31/1.55 (define @t225 () (forall (@list @t190 @t189 @t1) @t222)) % 1.31/1.55 (define @t226 () (@list @t1 @t190 @t189)) % 1.31/1.55 (define @t227 () (or @t196 @t195 @t194 @t212 @t193)) % 1.31/1.55 (define @t228 () (or @t220 @t219 @t216 @t215 @t227)) % 1.31/1.55 (define @t229 () (forall @t226 @t228)) % 1.31/1.55 (define @t230 () (forall @t204 @t228)) % 1.31/1.55 (define @t231 () (forall @t204 @t227)) % 1.31/1.55 (define @t232 () (@var "BOUND_VARIABLE_11205" $$unsorted)) % 1.31/1.55 (define @t233 () (@var "BOUND_VARIABLE_11203" $$unsorted)) % 1.31/1.55 (define @t234 () (@list @t233 @t232)) % 1.31/1.55 (define @t235 () (or @t220 @t219 @t216 @t215 @t231)) % 1.31/1.55 (define @t236 () (not (= @t147 @t232))) % 1.31/1.55 (define @t237 () (not (forall @t154 (or @t153 @t152 @t151 @t148 @t236)))) % 1.31/1.55 (define @t238 () (not (= @t1 (tptp.app (tptp.app @t233 @t2) @t232)))) % 1.31/1.55 (define @t239 () (not (tptp.ssList @t232))) % 1.31/1.55 (define @t240 () (not (= @t159 @t233))) % 1.31/1.55 (define @t241 () (not (forall @t166 (or @t165 @t164 @t163 @t160 @t240)))) % 1.31/1.55 (define @t242 () (not (tptp.ssList @t233))) % 1.31/1.55 (define @t243 () (or @t242 @t241 @t239 @t238 @t237)) % 1.31/1.55 (define @t244 () (@list @t233 @t232)) % 1.31/1.55 (define @t245 () (forall @t244 @t243)) % 1.31/1.55 (define @t246 () (or @t220 @t219 @t216 @t215 @t245)) % 1.31/1.55 (define @t247 () (forall @t7 @t246)) % 1.31/1.55 (define @t248 () (or @t180 @t179 @t247)) % 1.31/1.55 (define @t249 () (or @t180 @t179 @t246)) % 1.31/1.55 (define @t250 () (or @t220 @t219 @t216 @t180 @t179 @t215 @t245)) % 1.31/1.55 (define @t251 () (or @t219 @t216 @t220 @t180 @t179 @t215 @t245)) % 1.31/1.55 (define @t252 () (or @t180 @t179 @t215 @t245)) % 1.31/1.55 (define @t253 () (or @t180 @t179 @t215 @t243)) % 1.31/1.55 (define @t254 () (or @t180 @t179 @t215 @t242 @t241 @t239 @t238 @t237)) % 1.31/1.55 (define @t255 () (not (= @t2 @t2))) % 1.31/1.55 (define @t256 () (or @t180 @t255 @t179 @t215 @t242 @t241 @t239 @t238 @t237)) % 1.31/1.55 (define @t257 () (not (= @t12 @t150))) % 1.31/1.55 (define @t258 () (not (forall @t154 (or @t153 @t152 @t257 @t148 @t236)))) % 1.31/1.55 (define @t259 () (not (= @t1 (tptp.app (tptp.app @t233 @t12) @t232)))) % 1.31/1.55 (define @t260 () (not (= @t12 @t162))) % 1.31/1.55 (define @t261 () (not (forall @t166 (or @t165 @t164 @t260 @t160 @t240)))) % 1.31/1.55 (define @t262 () (= @t12 tptp.nil)) % 1.31/1.55 (define @t263 () (and @t214 @t262)) % 1.31/1.55 (define @t264 () (not @t15)) % 1.31/1.55 (define @t265 () (or @t133 @t264 @t133 @t117 @t263 @t242 @t261 @t239 @t259 @t258)) % 1.31/1.55 (define @t266 () (or @t264 @t133 @t117 @t263 @t242 @t261 @t239 @t259 @t258)) % 1.31/1.55 (define @t267 () (forall @t16 @t266)) % 1.31/1.55 (define @t268 () (forall @t244 @t267)) % 1.31/1.55 (define @t269 () (forall (@list @t233 @t232 @t12) @t266)) % 1.31/1.55 (define @t270 () (@list @t12 @t233 @t232)) % 1.31/1.55 (define @t271 () (or @t242 @t261 @t239 @t259 @t258)) % 1.31/1.55 (define @t272 () (or @t264 @t133 @t117 @t263 @t271)) % 1.31/1.55 (define @t273 () (forall @t270 @t272)) % 1.31/1.55 (define @t274 () (forall @t244 @t272)) % 1.31/1.55 (define @t275 () (forall @t244 @t271)) % 1.31/1.55 (define @t276 () (@var "BOUND_VARIABLE_11150" $$unsorted)) % 1.31/1.55 (define @t277 () (@var "BOUND_VARIABLE_11148" $$unsorted)) % 1.31/1.55 (define @t278 () (@list @t277 @t276)) % 1.31/1.55 (define @t279 () (or @t264 @t133 @t117 @t263 @t275)) % 1.31/1.55 (define @t280 () (not (forall @t154 (or @t153 @t152 @t257 @t148 (not (= @t147 @t276)))))) % 1.31/1.55 (define @t281 () (tptp.app (tptp.app @t277 @t12) @t276)) % 1.31/1.55 (define @t282 () (not (= @t1 @t281))) % 1.31/1.55 (define @t283 () (not (tptp.ssList @t276))) % 1.31/1.55 (define @t284 () (not (forall @t166 (or @t165 @t164 @t260 @t160 (not (= @t159 @t277)))))) % 1.31/1.55 (define @t285 () (not (tptp.ssList @t277))) % 1.31/1.55 (define @t286 () (or @t285 @t284 @t283 @t282 @t280)) % 1.31/1.55 (define @t287 () (@list @t277 @t276)) % 1.31/1.55 (define @t288 () (forall @t287 @t286)) % 1.31/1.55 (define @t289 () (or @t264 @t133 @t117 @t263 @t288)) % 1.31/1.55 (define @t290 () (forall @t16 @t289)) % 1.31/1.55 (define @t291 () (or @t219 @t216 @t220 @t290)) % 1.31/1.55 (define @t292 () (or @t219 @t216 @t220 @t289)) % 1.31/1.55 (define @t293 () (or @t264 @t133 @t219 @t216 @t117 @t220 @t263 @t288)) % 1.31/1.55 (define @t294 () (or @t133 @t219 @t216 @t117 @t220 @t263 @t288)) % 1.31/1.55 (define @t295 () (or @t220 @t263 @t288)) % 1.31/1.55 (define @t296 () (or @t220 @t263 @t286)) % 1.31/1.55 (define @t297 () (or @t220 @t263 @t285 @t284 @t283 @t282 @t280)) % 1.31/1.55 (define @t298 () (not (= @t1 @t1))) % 1.31/1.55 (define @t299 () (or @t220 @t298 @t263 @t285 @t284 @t283 @t282 @t280)) % 1.31/1.55 (define @t300 () (not (= @t10 @t281))) % 1.31/1.55 (define @t301 () (and (not (= @t10 tptp.nil)) @t262)) % 1.31/1.55 (define @t302 () (not @t13)) % 1.31/1.55 (define @t303 () (or @t134 @t302 @t134 @t301 @t285 @t284 @t283 @t300 @t280)) % 1.31/1.55 (define @t304 () (or @t302 @t134 @t301 @t285 @t284 @t283 @t300 @t280)) % 1.31/1.55 (define @t305 () (forall @t14 @t304)) % 1.31/1.55 (define @t306 () (forall @t287 @t305)) % 1.31/1.55 (define @t307 () (forall (@list @t277 @t276 @t10) @t304)) % 1.31/1.55 (define @t308 () (@list @t10 @t277 @t276)) % 1.31/1.55 (define @t309 () (not (= @t277 @t159))) % 1.31/1.55 (define @t310 () (or @t165 @t164 @t260 @t160 @t309)) % 1.31/1.55 (define @t311 () (forall @t166 @t310)) % 1.31/1.55 (define @t312 () (not @t311)) % 1.31/1.55 (define @t313 () (or @t302 @t134 @t301 @t285 @t312 @t283 @t300 @t280)) % 1.31/1.55 (define @t314 () (or @t285 @t312 @t283 @t300 @t280)) % 1.31/1.55 (define @t315 () (or @t302 @t134 @t301 @t314)) % 1.31/1.55 (define @t316 () (forall @t308 @t315)) % 1.31/1.55 (define @t317 () (forall @t287 @t315)) % 1.31/1.55 (define @t318 () (forall @t287 @t314)) % 1.31/1.55 (define @t319 () (@var "BOUND_VARIABLE_11110" $$unsorted)) % 1.31/1.55 (define @t320 () (or @t302 @t134 @t301 @t318)) % 1.31/1.55 (define @t321 () (not (= @t10 (tptp.app @t118 @t319)))) % 1.31/1.55 (define @t322 () (not (tptp.ssList @t319))) % 1.31/1.55 (define @t323 () (not (= @t27 @t159))) % 1.31/1.55 (define @t324 () (or @t165 @t164 @t260 @t160 @t323)) % 1.31/1.55 (define @t325 () (not (forall @t166 @t324))) % 1.31/1.55 (define @t326 () (not @t30)) % 1.31/1.55 (define @t327 () (@list @t27 @t319)) % 1.31/1.55 (define @t328 () (forall @t327 (or @t326 @t325 @t322 @t321 (not (forall @t154 (or @t153 @t152 @t257 @t148 (not (= @t147 @t319)))))))) % 1.31/1.55 (define @t329 () (or @t302 @t134 @t301 @t328)) % 1.31/1.55 (define @t330 () (forall @t14 @t329)) % 1.31/1.55 (define @t331 () (or @t133 @t219 @t216 @t117 @t330)) % 1.31/1.55 (define @t332 () (or @t133 @t219 @t216 @t117 @t329)) % 1.31/1.55 (define @t333 () (or @t302 @t134 @t133 @t219 @t301 @t216 @t117 @t328)) % 1.31/1.55 (define @t334 () (or @t134 @t133 @t219 @t301 @t216 @t117 @t328)) % 1.31/1.55 (define @t335 () (not (= @t319 @t147))) % 1.31/1.55 (define @t336 () (or @t153 @t152 @t257 @t148 @t335)) % 1.31/1.55 (define @t337 () (forall @t154 @t336)) % 1.31/1.55 (define @t338 () (not @t337)) % 1.31/1.55 (define @t339 () (or @t326 @t325 @t322 @t321 @t338)) % 1.31/1.55 (define @t340 () (or @t322 @t321 @t338)) % 1.31/1.55 (define @t341 () (or @t326 @t325 @t340)) % 1.31/1.55 (define @t342 () (forall @t327 @t341)) % 1.31/1.55 (define @t343 () (@list @t319)) % 1.31/1.55 (define @t344 () (forall @t343 @t341)) % 1.31/1.55 (define @t345 () (forall @t343 @t340)) % 1.31/1.55 (define @t346 () (or @t326 @t325 @t345)) % 1.31/1.55 (define @t347 () (not (= @t88 @t147))) % 1.31/1.55 (define @t348 () (or @t153 @t152 @t257 @t148 @t347)) % 1.31/1.55 (define @t349 () (not (forall @t154 @t348))) % 1.31/1.55 (define @t350 () (not (= @t10 @t119))) % 1.31/1.55 (define @t351 () (not @t122)) % 1.31/1.55 (define @t352 () (or @t351 @t350 @t349)) % 1.31/1.55 (define @t353 () (forall @t124 @t352)) % 1.31/1.55 (define @t354 () (or @t326 @t325 @t353)) % 1.31/1.55 (define @t355 () (forall @t31 @t354)) % 1.31/1.55 (define @t356 () (or @t117 @t355)) % 1.31/1.55 (define @t357 () (or @t117 @t354)) % 1.31/1.55 (define @t358 () (or @t326 @t117 @t325 @t353)) % 1.31/1.55 (define @t359 () (or @t117 @t325 @t353)) % 1.31/1.55 (define @t360 () (or @t117 @t325 @t352)) % 1.31/1.55 (define @t361 () (or @t351 @t350 @t117 @t325 @t349)) % 1.31/1.55 (define @t362 () (or @t350 @t117 @t325 @t349)) % 1.31/1.55 (define @t363 () (or @t148 @t347)) % 1.31/1.55 (define @t364 () (or @t152 @t257)) % 1.31/1.55 (define @t365 () (or @t153 @t364 @t363)) % 1.31/1.55 (define @t366 () (forall @t154 @t365)) % 1.31/1.55 (define @t367 () (forall (@list @t149 @t146) @t365)) % 1.31/1.55 (define @t368 () (forall (@list @t146) @t363)) % 1.31/1.55 (define @t369 () (forall (@list @t149) @t364)) % 1.31/1.55 (define @t370 () (or @t153 @t369 @t368)) % 1.31/1.55 (define @t371 () (= @t88 @t90)) % 1.31/1.55 (define @t372 () (not @t371)) % 1.31/1.55 (define @t373 () (not @t91)) % 1.31/1.55 (define @t374 () (or @t373 @t372)) % 1.31/1.55 (define @t375 () (forall @t93 @t374)) % 1.31/1.55 (define @t376 () (= @t12 @t83)) % 1.31/1.55 (define @t377 () (forall @t86 (or (not @t84) (not @t376)))) % 1.31/1.55 (define @t378 () (or @t153 @t377 @t375)) % 1.31/1.55 (define @t379 () (or @t377 @t375)) % 1.31/1.55 (define @t380 () (not @t379)) % 1.31/1.55 (define @t381 () (and @t95 @t380)) % 1.31/1.55 (define @t382 () (forall @t97 (not @t381))) % 1.31/1.55 (define @t383 () (not @t382)) % 1.31/1.55 (define @t384 () (or @t377 @t374)) % 1.31/1.55 (define @t385 () (or @t373 @t372 @t377)) % 1.31/1.55 (define @t386 () (not @t377)) % 1.31/1.55 (define @t387 () (not @t386)) % 1.31/1.55 (define @t388 () (or @t373 @t372 @t387)) % 1.31/1.55 (define @t389 () (and @t91 @t371 @t386)) % 1.31/1.55 (define @t390 () (forall @t93 (not @t389))) % 1.31/1.55 (define @t391 () (not @t390)) % 1.31/1.55 (define @t392 () (and @t84 @t376)) % 1.31/1.55 (define @t393 () (forall @t86 (not @t392))) % 1.31/1.55 (define @t394 () (not @t393)) % 1.31/1.55 (define @t395 () (or @t160 @t323)) % 1.31/1.55 (define @t396 () (or @t164 @t260)) % 1.31/1.55 (define @t397 () (or @t165 @t396 @t395)) % 1.31/1.55 (define @t398 () (forall @t166 @t397)) % 1.31/1.55 (define @t399 () (forall (@list @t161 @t158) @t397)) % 1.31/1.55 (define @t400 () (forall (@list @t158) @t395)) % 1.31/1.55 (define @t401 () (forall (@list @t161) @t396)) % 1.31/1.55 (define @t402 () (or @t165 @t401 @t400)) % 1.31/1.55 (define @t403 () (= @t27 @t108)) % 1.31/1.55 (define @t404 () (not @t403)) % 1.31/1.55 (define @t405 () (not @t109)) % 1.31/1.55 (define @t406 () (or @t405 @t404)) % 1.31/1.55 (define @t407 () (forall @t111 @t406)) % 1.31/1.55 (define @t408 () (= @t12 @t102)) % 1.31/1.55 (define @t409 () (forall @t105 (or (not @t103) (not @t408)))) % 1.31/1.55 (define @t410 () (or @t165 @t409 @t407)) % 1.31/1.55 (define @t411 () (or @t409 @t407)) % 1.31/1.55 (define @t412 () (not @t411)) % 1.31/1.55 (define @t413 () (and @t113 @t412)) % 1.31/1.55 (define @t414 () (forall @t115 (not @t413))) % 1.31/1.55 (define @t415 () (not @t414)) % 1.31/1.55 (define @t416 () (or @t409 @t406)) % 1.31/1.55 (define @t417 () (or @t405 @t404 @t409)) % 1.31/1.55 (define @t418 () (not @t409)) % 1.31/1.55 (define @t419 () (not @t418)) % 1.31/1.55 (define @t420 () (or @t405 @t404 @t419)) % 1.31/1.55 (define @t421 () (and @t109 @t403 @t418)) % 1.31/1.55 (define @t422 () (forall @t111 (not @t421))) % 1.31/1.55 (define @t423 () (not @t422)) % 1.31/1.55 (define @t424 () (and @t103 @t408)) % 1.31/1.55 (define @t425 () (forall @t105 (not @t424))) % 1.31/1.55 (define @t426 () (not @t425)) % 1.31/1.55 (define @t427 () (forall @t33 (not @t131))) % 1.31/1.55 (define @t428 () (not @t427)) % 1.31/1.55 (define @t429 () (forall @t184 @t181)) % 1.31/1.55 (define @t430 () (@quantifiers_skolemize @t429 2)) % 1.31/1.55 (define @t431 () (not (= @t147 @t430))) % 1.31/1.55 (define @t432 () (@quantifiers_skolemize @t429 0)) % 1.31/1.55 (define @t433 () (tptp.ssList @t430)) % 1.31/1.55 (define @t434 () (not @t433)) % 1.31/1.55 (define @t435 () (@quantifiers_skolemize @t429 1)) % 1.31/1.55 (define @t436 () (not (= @t159 @t435))) % 1.31/1.55 (define @t437 () (tptp.ssList @t435)) % 1.31/1.55 (define @t438 () (not @t437)) % 1.31/1.55 (define @t439 () (= tptp.nil @t432)) % 1.31/1.55 (define @t440 () (tptp.app (tptp.app @t435 @t432) @t430)) % 1.31/1.55 (define @t441 () (= tptp.nil @t440)) % 1.31/1.55 (define @t442 () (not @t441)) % 1.31/1.55 (define @t443 () (and @t442 @t439)) % 1.31/1.55 (define @t444 () (and @t441 @t439)) % 1.31/1.55 (define @t445 () (forall @t33 (or @t176 @t175 (not (tptp.segmentP @t440 @t28)) (not (tptp.segmentP @t432 @t28))))) % 1.31/1.55 (define @t446 () (not @t445)) % 1.31/1.55 (define @t447 () (not (tptp.ssList @t440))) % 1.31/1.55 (define @t448 () (not (tptp.equalelemsP @t432))) % 1.31/1.55 (define @t449 () (tptp.ssList @t432)) % 1.31/1.55 (define @t450 () (not @t449)) % 1.31/1.55 (define @t451 () (or @t450 @t448 @t447 @t446 @t444 @t443 @t438 (not (forall @t166 (or @t165 @t164 (not (= @t162 @t432)) @t160 @t436))) @t434 (not (forall @t154 (or @t153 @t152 (not (= @t150 @t432)) @t148 @t431))))) % 1.31/1.55 (define @t452 () (not @t451)) % 1.31/1.55 (define @t453 () (not @t429)) % 1.31/1.55 (define @t454 () (not (= @t432 @t150))) % 1.31/1.55 (define @t455 () (or @t153 @t152 @t454 @t148 @t431)) % 1.31/1.55 (define @t456 () (forall @t154 @t455)) % 1.31/1.55 (define @t457 () (not @t456)) % 1.31/1.55 (define @t458 () (not (= @t432 @t162))) % 1.31/1.55 (define @t459 () (or @t165 @t164 @t458 @t160 @t436)) % 1.31/1.55 (define @t460 () (forall @t166 @t459)) % 1.31/1.55 (define @t461 () (not @t460)) % 1.31/1.55 (define @t462 () (= @t432 tptp.nil)) % 1.31/1.55 (define @t463 () (and @t442 @t462)) % 1.31/1.55 (define @t464 () (and @t441 @t462)) % 1.31/1.55 (define @t465 () (or @t450 @t448 @t447 @t446 @t464 @t463 @t438 @t461 @t434 @t457)) % 1.31/1.55 (define @t466 () (not @t465)) % 1.31/1.55 (define @t467 () (@list true)) % 1.31/1.55 (define @t468 () (@list @t451)) % 1.31/1.55 (define @t469 () (@var "BOUND_VARIABLE_9150" $$unsorted)) % 1.31/1.55 (define @t470 () (= (tptp.neq @t2 @t469) (not (= @t2 @t469)))) % 1.31/1.55 (define @t471 () (not (tptp.ssList @t469))) % 1.31/1.55 (define @t472 () (or @t180 @t471 @t470)) % 1.31/1.55 (define @t473 () (or @t471 @t470)) % 1.31/1.55 (define @t474 () (or @t180 @t473)) % 1.31/1.55 (define @t475 () (@list @t2 @t469)) % 1.31/1.55 (define @t476 () (forall @t475 @t474)) % 1.31/1.55 (define @t477 () (@list @t469)) % 1.31/1.55 (define @t478 () (forall @t477 @t474)) % 1.31/1.55 (define @t479 () (forall @t477 @t473)) % 1.31/1.55 (define @t480 () (or @t180 @t479)) % 1.31/1.55 (define @t481 () (forall @t7 (or @t220 @t5))) % 1.31/1.55 (define @t482 () (tptp.neq @t432 tptp.nil)) % 1.31/1.55 (define @t483 () (not @t439)) % 1.31/1.55 (define @t484 () (not @t462)) % 1.31/1.55 (define @t485 () (= @t482 @t484)) % 1.31/1.55 (define @t486 () (not @t42)) % 1.31/1.55 (define @t487 () (or @t450 @t486 @t485)) % 1.31/1.55 (define @t488 () (forall @t475 @t472)) % 1.31/1.55 (define @t489 () (= @t483 @t482)) % 1.31/1.55 (define @t490 () (or @t450 @t486 @t489)) % 1.31/1.55 (define @t491 () (@list @t432)) % 1.31/1.55 (define @t492 () (@var "BOUND_VARIABLE_10249" $$unsorted)) % 1.31/1.55 (define @t493 () (@var "BOUND_VARIABLE_10253" $$unsorted)) % 1.31/1.55 (define @t494 () (@var "BOUND_VARIABLE_10251" $$unsorted)) % 1.31/1.55 (define @t495 () (tptp.segmentP (tptp.app (tptp.app @t494 @t2) @t493) @t492)) % 1.31/1.55 (define @t496 () (not (tptp.ssList @t493))) % 1.31/1.55 (define @t497 () (not (tptp.ssList @t494))) % 1.31/1.55 (define @t498 () (not (tptp.segmentP @t2 @t492))) % 1.31/1.55 (define @t499 () (not (tptp.ssList @t492))) % 1.31/1.55 (define @t500 () (or @t499 @t498 @t497 @t496 @t495)) % 1.31/1.55 (define @t501 () (or @t180 @t500)) % 1.31/1.55 (define @t502 () (forall (@list @t2 @t492 @t494 @t493) @t501)) % 1.31/1.55 (define @t503 () (@list @t492 @t494 @t493)) % 1.31/1.55 (define @t504 () (forall @t503 @t501)) % 1.31/1.55 (define @t505 () (forall @t503 @t500)) % 1.31/1.55 (define @t506 () (@var "BOUND_VARIABLE_10230" $$unsorted)) % 1.31/1.55 (define @t507 () (@var "BOUND_VARIABLE_10228" $$unsorted)) % 1.31/1.55 (define @t508 () (or @t180 @t505)) % 1.31/1.55 (define @t509 () (tptp.segmentP (tptp.app (tptp.app @t507 @t2) @t506) @t1)) % 1.31/1.55 (define @t510 () (not (tptp.ssList @t506))) % 1.31/1.55 (define @t511 () (not (tptp.ssList @t507))) % 1.31/1.55 (define @t512 () (not @t24)) % 1.31/1.55 (define @t513 () (or @t220 @t512 @t511 @t510 @t509)) % 1.31/1.55 (define @t514 () (@list @t1 @t507 @t506)) % 1.31/1.55 (define @t515 () (forall @t514 @t513)) % 1.31/1.55 (define @t516 () (or @t511 @t510 @t509)) % 1.31/1.55 (define @t517 () (or @t220 @t512 @t516)) % 1.31/1.55 (define @t518 () (forall @t514 @t517)) % 1.31/1.55 (define @t519 () (@list @t507 @t506)) % 1.31/1.55 (define @t520 () (forall @t519 @t517)) % 1.31/1.55 (define @t521 () (forall @t519 @t516)) % 1.31/1.55 (define @t522 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 1.31/1.55 (define @t523 () (or @t220 @t512 @t521)) % 1.31/1.55 (define @t524 () (tptp.segmentP (tptp.app @t59 @t522) @t1)) % 1.31/1.55 (define @t525 () (not (tptp.ssList @t522))) % 1.31/1.55 (define @t526 () (or @t264 @t525 @t524)) % 1.31/1.55 (define @t527 () (@list @t12 @t522)) % 1.31/1.55 (define @t528 () (forall @t527 @t526)) % 1.31/1.55 (define @t529 () (or @t220 @t512 @t528)) % 1.31/1.55 (define @t530 () (or @t512 @t528)) % 1.31/1.55 (define @t531 () (or @t525 @t524)) % 1.31/1.55 (define @t532 () (or @t264 @t531)) % 1.31/1.55 (define @t533 () (forall @t527 @t532)) % 1.31/1.55 (define @t534 () (@list @t522)) % 1.31/1.55 (define @t535 () (forall @t534 @t532)) % 1.31/1.55 (define @t536 () (forall @t534 @t531)) % 1.31/1.55 (define @t537 () (or @t264 @t536)) % 1.31/1.55 (define @t538 () (or @t302 @t62)) % 1.31/1.55 (define @t539 () (forall @t14 @t538)) % 1.31/1.55 (define @t540 () (or @t264 @t539)) % 1.31/1.55 (define @t541 () (forall @t16 @t540)) % 1.31/1.55 (define @t542 () (or @t512 @t541)) % 1.31/1.55 (define @t543 () (or @t512 @t540)) % 1.31/1.55 (define @t544 () (or @t264 @t512 @t539)) % 1.31/1.55 (define @t545 () (or @t512 @t539)) % 1.31/1.55 (define @t546 () (or @t512 @t538)) % 1.31/1.55 (define @t547 () (or @t302 @t512 @t62)) % 1.31/1.55 (define @t548 () (tptp.segmentP @t432 @t432)) % 1.31/1.55 (define @t549 () (or @t450 @t548)) % 1.31/1.55 (define @t550 () (tptp.segmentP @t440 @t432)) % 1.31/1.55 (define @t551 () (not @t548)) % 1.31/1.55 (define @t552 () (or @t450 @t450 @t551 @t438 @t434 @t550)) % 1.31/1.55 (define @t553 () (not @t550)) % 1.31/1.55 (define @t554 () (not @t482)) % 1.31/1.55 (define @t555 () (or @t450 @t554 @t553 @t551)) % 1.31/1.55 (define @t556 () (not @t489)) % 1.31/1.55 (define @t557 () (@list true false)) % 1.31/1.55 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.31/1.55 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.31/1.55 (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))))))))))) % 1.31/1.55 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.31/1.55 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.31/1.55 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.31/1.55 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.31/1.55 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 1.31/1.55 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 1.31/1.55 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 1.31/1.55 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 1.31/1.55 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 1.31/1.55 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 1.31/1.55 (assume @p14 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 1.31/1.55 (assume @p15 @t40) % 1.31/1.55 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 1.31/1.55 (assume @p17 @t42) % 1.31/1.55 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 1.31/1.55 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 1.31/1.55 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 1.31/1.55 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 1.31/1.55 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 1.31/1.55 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 1.31/1.55 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 1.31/1.55 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 1.31/1.55 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 1.31/1.55 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 1.31/1.55 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.31/1.55 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 1.31/1.55 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 1.31/1.55 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.31/1.55 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 1.31/1.55 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 1.31/1.55 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 1.31/1.55 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 1.31/1.55 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 1.31/1.55 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 1.31/1.55 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.31/1.55 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.31/1.55 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.31/1.55 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.31/1.55 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.31/1.55 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.31/1.55 (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)))))))))))) % 1.31/1.55 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.31/1.55 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 1.31/1.55 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.31/1.55 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.31/1.55 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.31/1.55 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1))))))))) % 1.31/1.55 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.31/1.55 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 1.31/1.55 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.31/1.55 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.31/1.55 (assume @p55 @t61) % 1.31/1.55 (assume @p56 @t70) % 1.31/1.55 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.31/1.55 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 1.31/1.55 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 1.31/1.55 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.31/1.55 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 1.31/1.55 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.31/1.55 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 1.31/1.55 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.31/1.55 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 1.31/1.55 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.31/1.55 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 1.31/1.55 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 1.31/1.55 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.31/1.55 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 1.31/1.55 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 1.31/1.55 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.31/1.55 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 1.31/1.55 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.31/1.55 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 1.31/1.55 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 1.31/1.55 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t47 (= @t72 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 1.31/1.55 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 1.31/1.55 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t76)))))))) % 1.31/1.55 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t76)))))))) % 1.31/1.55 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 1.31/1.55 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 1.31/1.55 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) @t77)))))) % 1.31/1.55 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.31/1.55 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 1.31/1.55 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 1.31/1.55 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 1.31/1.55 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.31/1.55 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.31/1.55 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.31/1.55 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 1.31/1.55 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 1.31/1.55 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 1.31/1.55 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 1.31/1.55 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.31/1.55 (assume @p96 @t144) % 1.31/1.55 (assume @p97 true) % 1.31/1.55 (step @p98 :rule aci_norm :args ((= @t183 @t181))) % 1.31/1.55 (step @p99 :rule cong :premises (@p98) :args (@t185)) % 1.31/1.55 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t187) @t185))) % 1.31/1.55 (step @p101 :rule alpha_equiv :args (@t188 (@list @t157 @t145) @t191)) % 1.31/1.55 (step @p102 :rule refl :args (@t179)) % 1.31/1.55 (step @p103 :rule refl :args (@t180)) % 1.31/1.55 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t192)) % 1.31/1.55 (step @p105 :rule quant-miniscope-or :args ((= @t187 @t192))) % 1.31/1.55 (step @p106 :rule trans :premises (@p105 @p104)) % 1.31/1.55 (step @p107 :rule symm :premises (@p106)) % 1.31/1.55 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t205))) % 1.31/1.55 (step @p109 :rule trans :premises (@p108 @p100)) % 1.31/1.55 (step @p110 :rule trans :premises (@p109 @p99)) % 1.31/1.55 (step @p111 :rule aci_norm :args ((= (or @t180 @t205) @t205))) % 1.31/1.55 (step @p112 :rule bool-impl-elim :args (@t17 @t205)) % 1.31/1.55 (step @p113 :rule trans :premises (@p112 @p111)) % 1.31/1.55 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t205)))) % 1.31/1.55 (step @p115 :rule trans :premises (@p114 @p110)) % 1.31/1.55 (step @p116 :rule aci_norm :args ((= (or @t202 @t201 @t200 @t199 @t196 @t195 @t194 false @t193) @t203))) % 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(step @p297 :rule nary_cong :premises (@p296 @p295 @p294 @p253 @p293 @p251 @p284 @p249) :args (@t313)) % 1.31/1.55 (step @p298 :rule aci_norm :args ((= @t315 @t313))) % 1.31/1.55 (step @p299 :rule trans :premises (@p298 @p297)) % 1.31/1.55 (step @p300 :rule cong :premises (@p299) :args (@t316)) % 1.31/1.55 (step @p301 :rule trans :premises (@p300 @p283)) % 1.31/1.55 (step @p302 :rule quant-merge-prenex :args ((= (forall @t14 @t317) @t316))) % 1.31/1.55 (step @p303 :rule alpha_equiv :args (@t318 @t278 (@list @t27 @t319))) % 1.31/1.55 (step @p304 :rule nary_cong :premises (@p270 @p269 @p268 @p303) :args (@t320)) % 1.31/1.55 (step @p305 :rule quant-miniscope-or :args ((= @t317 @t320))) % 1.31/1.55 (step @p306 :rule trans :premises (@p305 @p304)) % 1.31/1.55 (step @p307 :rule symm :premises (@p306)) % 1.31/1.55 (step @p308 :rule cong :premises (@p307) :args (@t330)) % 1.31/1.55 (step @p309 :rule trans :premises (@p308 @p302)) % 1.31/1.55 (step @p310 :rule trans :premises (@p309 @p301)) % 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:premises (@p587)) % 1.31/1.55 (step @p589 :rule eq_resolve :premises (@p588 @p555)) % 1.31/1.55 (step @p590 :rule chain_m_resolution :premises (@p589 @p552) :args (@t452 @t467 (@list @t429))) % 1.31/1.55 (step @p591 :rule cnf_or_neg :args (@t451 5)) % 1.31/1.55 (step @p592 :rule chain_m_resolution :premises (@p591 @p590) :args ((not @t443) @t467 @t468)) % 1.31/1.55 (step @p593 :rule aci_norm :args ((= @t474 @t472))) % 1.31/1.55 (step @p594 :rule cong :premises (@p593) :args (@t476)) % 1.31/1.55 (step @p595 :rule quant-merge-prenex :args ((= (forall @t9 @t478) @t476))) % 1.31/1.55 (step @p596 :rule alpha_equiv :args (@t479 (@list @t469) (@list @t1))) % 1.31/1.55 (step @p597 :rule nary_cong :premises (@p103 @p596) :args (@t480)) % 1.31/1.55 (step @p598 :rule quant-miniscope-or :args ((= @t478 @t480))) % 1.31/1.55 (step @p599 :rule trans :premises (@p598 @p597)) % 1.31/1.55 (step @p600 :rule symm :premises (@p599)) % 1.31/1.55 (step @p601 :rule cong :premises (@p600) :args ((forall @t9 (or @t180 @t481)))) % 1.31/1.55 (step @p602 :rule trans :premises (@p601 @p595)) % 1.31/1.55 (step @p603 :rule trans :premises (@p602 @p594)) % 1.31/1.55 (step @p604 :rule bool-impl-elim :args (@t17 @t481)) % 1.31/1.55 (step @p605 :rule cong :premises (@p604) :args ((forall @t9 (=> @t17 @t481)))) % 1.31/1.55 (step @p606 :rule trans :premises (@p605 @p603)) % 1.31/1.55 (step @p607 :rule bool-impl-elim :args (@t21 @t5)) % 1.31/1.55 (step @p608 :rule cong :premises (@p607) :args (@t38)) % 1.31/1.55 (step @p609 :rule cong :premises (@p547 @p608) :args (@t39)) % 1.31/1.55 (step @p610 :rule cong :premises (@p609) :args (@t40)) % 1.31/1.55 (step @p611 :rule trans :premises (@p610 @p606)) % 1.31/1.55 (step @p612 :rule eq_resolve :premises (@p15 @p611)) % 1.31/1.55 (step @p613 :rule eq-symm :args (@t482 @t483)) % 1.31/1.55 (step @p614 :rule cong :premises (@p570) :args (@t484)) % 1.31/1.55 (step @p615 :rule refl :args (@t482)) % 1.31/1.55 (step @p616 :rule cong :premises (@p615 @p614) :args (@t485)) % 1.31/1.55 (step @p617 :rule trans :premises (@p616 @p613)) % 1.31/1.55 (step @p618 :rule refl :args (@t486)) % 1.31/1.55 (step @p619 :rule nary_cong :premises (@p578 @p618 @p617) :args (@t487)) % 1.31/1.55 (step @p620 :rule refl :args (@t488)) % 1.31/1.55 (step @p621 :rule cong :premises (@p620 @p619) :args ((=> @t488 @t487))) % 1.31/1.55 (assume-push @p771 @t488) % 1.31/1.55 (step @p623 :rule instantiate :premises (@p612) :args ((@list @t432 tptp.nil))) % 1.31/1.55 (step-pop @p772 :rule scope :premises (@p623)) % 1.31/1.55 (step @p624 :rule process_scope :premises (@p772) :args (@t487)) % 1.31/1.55 (step @p626 :rule eq_resolve :premises (@p624 @p621)) % 1.31/1.55 (step @p627 :rule implies_elim :premises (@p626)) % 1.31/1.55 (step @p628 :rule chain_m_resolution :premises (@p627 @p612) :args (@t490 (@list false) (@list @t488))) % 1.31/1.55 (step @p629 :rule bool-double-not-elim :args (@t449)) % 1.31/1.55 (step @p630 :rule refl :args (@t451)) % 1.31/1.55 (step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t451 (not @t450)))) % 1.31/1.55 (step @p632 :rule cnf_or_neg :args (@t451 0)) % 1.31/1.55 (step @p633 :rule eq_resolve :premises (@p632 @p631)) % 1.31/1.55 (step @p634 :rule reordering :premises (@p633) :args ((or @t449 @t451))) % 1.31/1.55 (step @p635 :rule chain_m_resolution :premises (@p634 @p590) :args (@t449 @t467 @t468)) % 1.31/1.55 (step @p636 :rule cnf_or_pos :args (@t490)) % 1.31/1.55 (step @p637 :rule reordering :premises (@p636) :args ((or @t486 @t450 @t489 (not @t490)))) % 1.31/1.55 (step @p638 :rule chain_m_resolution :premises (@p637 @p17 @p635 @p628) :args (@t489 (@list false false false) (@list @t42 @t449 @t490))) % 1.31/1.55 (step @p639 :rule bool-double-not-elim :args (@t445)) % 1.31/1.55 (step @p640 :rule nary_cong :premises (@p630 @p639) :args ((or @t451 (not @t446)))) % 1.31/1.55 (step @p641 :rule cnf_or_neg :args (@t451 3)) % 1.31/1.55 (step @p642 :rule eq_resolve :premises (@p641 @p640)) % 1.31/1.55 (step @p643 :rule reordering :premises (@p642) :args ((or @t445 @t451))) % 1.31/1.55 (step @p644 :rule chain_m_resolution :premises (@p643 @p590) :args (@t445 @t467 @t468)) % 1.31/1.55 (step @p645 :rule instantiate :premises (@p644) :args (@t491)) % 1.31/1.55 (step @p646 :rule aci_norm :args ((= @t501 (or @t180 @t499 @t498 @t497 @t496 @t495)))) % 1.31/1.55 (step @p647 :rule cong :premises (@p646) :args (@t502)) % 1.31/1.55 (step @p648 :rule quant-merge-prenex :args ((= (forall @t9 @t504) @t502))) % 1.31/1.55 (step @p649 :rule alpha_equiv :args (@t505 (@list @t492 @t494 @t493) (@list @t1 @t507 @t506))) % 1.31/1.55 (step @p650 :rule nary_cong :premises (@p103 @p649) :args (@t508)) % 1.31/1.55 (step @p651 :rule quant-miniscope-or :args ((= @t504 @t508))) % 1.31/1.55 (step @p652 :rule trans :premises (@p651 @p650)) % 1.31/1.55 (step @p653 :rule symm :premises (@p652)) % 1.31/1.55 (step @p654 :rule cong :premises (@p653) :args ((forall @t9 (or @t180 @t515)))) % 1.31/1.55 (step @p655 :rule trans :premises (@p654 @p648)) % 1.31/1.55 (step @p656 :rule trans :premises (@p655 @p647)) % 1.31/1.55 (step @p657 :rule bool-impl-elim :args (@t17 @t515)) % 1.31/1.55 (step @p658 :rule cong :premises (@p657) :args ((forall @t9 (=> @t17 @t515)))) % 1.31/1.55 (step @p659 :rule trans :premises (@p658 @p656)) % 1.31/1.55 (step @p660 :rule aci_norm :args ((= @t517 @t513))) % 1.31/1.55 (step @p661 :rule cong :premises (@p660) :args (@t518)) % 1.31/1.55 (step @p662 :rule quant-merge-prenex :args ((= (forall @t7 @t520) @t518))) % 1.31/1.55 (step @p663 :rule alpha_equiv :args (@t521 (@list @t507 @t506) (@list @t12 @t522))) % 1.31/1.55 (step @p664 :rule refl :args (@t512)) % 1.31/1.55 (step @p665 :rule nary_cong :premises (@p153 @p664 @p663) :args (@t523)) % 1.31/1.55 (step @p666 :rule quant-miniscope-or :args ((= @t520 @t523))) % 1.31/1.55 (step @p667 :rule trans :premises (@p666 @p665)) % 1.31/1.55 (step @p668 :rule symm :premises (@p667)) % 1.31/1.55 (step @p669 :rule cong :premises (@p668) :args ((forall @t7 @t529))) % 1.31/1.55 (step @p670 :rule trans :premises (@p669 @p662)) % 1.31/1.55 (step @p671 :rule trans :premises (@p670 @p661)) % 1.31/1.55 (step @p672 :rule aci_norm :args ((= (or @t220 @t530) @t529))) % 1.31/1.55 (step @p673 :rule bool-impl-elim :args (@t21 @t530)) % 1.31/1.55 (step @p674 :rule trans :premises (@p673 @p672)) % 1.31/1.55 (step @p675 :rule cong :premises (@p674) :args ((forall @t7 (=> @t21 @t530)))) % 1.31/1.55 (step @p676 :rule trans :premises (@p675 @p671)) % 1.31/1.55 (step @p677 :rule aci_norm :args ((= @t532 @t526))) % 1.31/1.55 (step @p678 :rule cong :premises (@p677) :args (@t533)) % 1.31/1.55 (step @p679 :rule quant-merge-prenex :args ((= (forall @t16 @t535) @t533))) % 1.31/1.55 (step @p680 :rule alpha_equiv :args (@t536 (@list @t522) (@list @t10))) % 1.31/1.55 (step @p681 :rule nary_cong :premises (@p202 @p680) :args (@t537)) % 1.31/1.55 (step @p682 :rule quant-miniscope-or :args ((= @t535 @t537))) % 1.31/1.55 (step @p683 :rule trans :premises (@p682 @p681)) % 1.31/1.55 (step @p684 :rule symm :premises (@p683)) % 1.31/1.55 (step @p685 :rule cong :premises (@p684) :args (@t541)) % 1.31/1.55 (step @p686 :rule trans :premises (@p685 @p679)) % 1.31/1.55 (step @p687 :rule trans :premises (@p686 @p678)) % 1.31/1.55 (step @p688 :rule refl :args (@t512)) % 1.31/1.55 (step @p689 :rule nary_cong :premises (@p688 @p687) :args (@t542)) % 1.31/1.55 (step @p690 :rule quant-miniscope-or :args ((= (forall @t16 @t543) @t542))) % 1.31/1.55 (step @p691 :rule aci_norm :args ((= @t544 @t543))) % 1.31/1.55 (step @p692 :rule cong :premises (@p691) :args ((forall @t16 @t544))) % 1.31/1.55 (step @p693 :rule trans :premises (@p692 @p690)) % 1.31/1.55 (step @p694 :rule trans :premises (@p693 @p689)) % 1.31/1.55 (step @p695 :rule aci_norm :args ((= (or @t264 @t545) @t544))) % 1.31/1.55 (step @p696 :rule bool-impl-elim :args (@t15 @t545)) % 1.31/1.55 (step @p697 :rule trans :premises (@p696 @p695)) % 1.31/1.55 (step @p698 :rule cong :premises (@p697) :args ((forall @t16 (=> @t15 @t545)))) % 1.31/1.55 (step @p699 :rule trans :premises (@p698 @p694)) % 1.31/1.55 (step @p700 :rule quant-miniscope-or :args ((= (forall @t14 @t546) @t545))) % 1.31/1.55 (step @p701 :rule aci_norm :args ((= @t547 @t546))) % 1.31/1.55 (step @p702 :rule cong :premises (@p701) :args ((forall @t14 @t547))) % 1.31/1.55 (step @p703 :rule trans :premises (@p702 @p700)) % 1.31/1.55 (step @p704 :rule aci_norm :args ((= (or @t302 (or @t512 @t62)) @t547))) % 1.31/1.55 (step @p705 :rule bool-impl-elim :args (@t24 @t62)) % 1.31/1.55 (step @p706 :rule nary_cong :premises (@p270 @p705) :args ((or @t302 @t63))) % 1.31/1.55 (step @p707 :rule trans :premises (@p706 @p704)) % 1.31/1.55 (step @p708 :rule bool-impl-elim :args (@t13 @t63)) % 1.31/1.55 (step @p709 :rule trans :premises (@p708 @p707)) % 1.31/1.55 (step @p710 :rule cong :premises (@p709) :args (@t64)) % 1.31/1.55 (step @p711 :rule trans :premises (@p710 @p703)) % 1.31/1.55 (step @p712 :rule cong :premises (@p539 @p711) :args (@t65)) % 1.31/1.56 (step @p713 :rule cong :premises (@p712) :args (@t66)) % 1.31/1.56 (step @p714 :rule trans :premises (@p713 @p699)) % 1.31/1.56 (step @p715 :rule cong :premises (@p543 @p714) :args (@t67)) % 1.31/1.56 (step @p716 :rule cong :premises (@p715) :args (@t68)) % 1.31/1.56 (step @p717 :rule trans :premises (@p716 @p676)) % 1.31/1.56 (step @p718 :rule cong :premises (@p547 @p717) :args (@t69)) % 1.31/1.56 (step @p719 :rule cong :premises (@p718) :args (@t70)) % 1.31/1.56 (step @p720 :rule trans :premises (@p719 @p659)) % 1.31/1.56 (step @p721 :rule eq_resolve :premises (@p56 @p720)) % 1.31/1.56 (step @p722 :rule instantiate :premises (@p721) :args ((@list @t432 @t432 @t435 @t430))) % 1.31/1.56 (step @p723 :rule bool-impl-elim :args (@t17 @t60)) % 1.31/1.56 (step @p724 :rule cong :premises (@p723) :args (@t61)) % 1.31/1.56 (step @p725 :rule eq_resolve :premises (@p55 @p724)) % 1.31/1.56 (step @p726 :rule instantiate :premises (@p725) :args (@t491)) % 1.31/1.56 (step @p727 :rule cnf_or_pos :args (@t549)) % 1.31/1.56 (step @p728 :rule reordering :premises (@p727) :args ((or @t450 @t548 (not @t549)))) % 1.31/1.56 (step @p729 :rule chain_m_resolution :premises (@p728 @p635 @p726) :args (@t548 (@list false false) (@list @t449 @t549))) % 1.31/1.56 (step @p730 :rule bool-double-not-elim :args (@t433)) % 1.31/1.56 (step @p731 :rule nary_cong :premises (@p630 @p730) :args ((or @t451 (not @t434)))) % 1.31/1.56 (step @p732 :rule cnf_or_neg :args (@t451 8)) % 1.31/1.56 (step @p733 :rule eq_resolve :premises (@p732 @p731)) % 1.31/1.56 (step @p734 :rule reordering :premises (@p733) :args ((or @t433 @t451))) % 1.31/1.56 (step @p735 :rule chain_m_resolution :premises (@p734 @p590) :args (@t433 @t467 @t468)) % 1.31/1.56 (step @p736 :rule bool-double-not-elim :args (@t437)) % 1.31/1.56 (step @p737 :rule nary_cong :premises (@p630 @p736) :args ((or @t451 (not @t438)))) % 1.31/1.56 (step @p738 :rule cnf_or_neg :args (@t451 6)) % 1.31/1.56 (step @p739 :rule eq_resolve :premises (@p738 @p737)) % 1.31/1.56 (step @p740 :rule reordering :premises (@p739) :args ((or @t437 @t451))) % 1.31/1.56 (step @p741 :rule chain_m_resolution :premises (@p740 @p590) :args (@t437 @t467 @t468)) % 1.31/1.56 (step @p742 :rule cnf_or_pos :args (@t552)) % 1.31/1.56 (step @p743 :rule factoring :premises (@p742)) % 1.31/1.56 (step @p744 :rule reordering :premises (@p743) :args ((or @t450 @t438 @t434 @t551 @t550 (not @t552)))) % 1.31/1.56 (step @p745 :rule chain_m_resolution :premises (@p744 @p635 @p741 @p735 @p729 @p722) :args (@t550 (@list false false false false false) (@list @t449 @t437 @t433 @t548 @t552))) % 1.31/1.56 (step @p746 :rule cnf_or_pos :args (@t555)) % 1.31/1.56 (step @p747 :rule reordering :premises (@p746) :args ((or @t450 @t551 @t554 @t553 (not @t555)))) % 1.31/1.56 (step @p748 :rule chain_m_resolution :premises (@p747 @p635 @p729 @p745 @p645) :args (@t554 (@list false false false false) (@list @t449 @t548 @t550 @t555))) % 1.31/1.56 (step @p749 :rule bool-double-not-elim :args (@t439)) % 1.31/1.56 (step @p750 :rule refl :args (@t556)) % 1.31/1.56 (step @p751 :rule nary_cong :premises (@p750 @p749 @p615) :args ((or @t556 (not @t483) @t482))) % 1.31/1.56 (step @p752 :rule cnf_equiv_pos1 :args (@t489)) % 1.31/1.56 (step @p753 :rule eq_resolve :premises (@p752 @p751)) % 1.31/1.56 (step @p754 :rule reordering :premises (@p753) :args ((or @t439 @t482 @t556))) % 1.31/1.56 (step @p755 :rule chain_m_resolution :premises (@p754 @p748 @p638) :args (@t439 @t557 (@list @t482 @t489))) % 1.31/1.56 (step @p756 :rule cnf_or_neg :args (@t451 4)) % 1.31/1.56 (step @p757 :rule chain_m_resolution :premises (@p756 @p590) :args ((not @t444) @t467 @t468)) % 1.31/1.56 (step @p758 :rule cnf_and_neg :args (@t444)) % 1.31/1.56 (step @p759 :rule reordering :premises (@p758) :args ((or @t442 @t444 @t483))) % 1.31/1.56 (step @p760 :rule chain_m_resolution :premises (@p759 @p757 @p755) :args (@t442 @t557 (@list @t444 @t439))) % 1.31/1.56 (step @p761 :rule refl :args (@t483)) % 1.31/1.56 (step @p762 :rule bool-double-not-elim :args (@t441)) % 1.31/1.56 (step @p763 :rule refl :args (@t443)) % 1.31/1.56 (step @p764 :rule nary_cong :premises (@p763 @p762 @p761) :args ((or @t443 (not @t442) @t483))) % 1.31/1.56 (step @p765 :rule cnf_and_neg :args (@t443)) % 1.31/1.56 (step @p766 :rule eq_resolve :premises (@p765 @p764)) % 1.31/1.56 (step @p767 :rule reordering :premises (@p766) :args ((or @t441 @t443 @t483))) % 1.31/1.56 (step @p768 false :rule chain_m_resolution :premises (@p767 @p760 @p755 @p592) :args (false (@list true false true) (@list @t441 @t439 @t443))) % 1.31/1.56 ) % 1.31/1.56 % SZS output end Proof % 1.31/1.56 % cvc5 exiting %------------------------------------------------------------------------------