%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC083+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 : n011.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 08:57:58 AM UTC 2026 % Result : Theorem 33.84s 34.66s % Output : Proof 33.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC083+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:13:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.84/34.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.84/34.66 --- Run --no-e-matching --full-saturate-quant at 6... % 33.84/34.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.84/34.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.84/34.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.84/34.66 % SZS status Theorem % 33.84/34.66 % SZS output start Proof % 33.84/34.66 ( % 33.84/34.66 (declare-sort $$unsorted 0) % 33.84/34.66 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 33.84/34.66 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 33.84/34.66 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.66 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 33.84/34.66 (declare-const tptp.nil $$unsorted) % 33.84/34.66 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.ssList (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 33.84/34.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 33.84/34.66 (define @t1 () (@var "V" $$unsorted)) % 33.84/34.66 (define @t2 () (@var "U" $$unsorted)) % 33.84/34.66 (define @t3 () (= @t2 @t1)) % 33.84/34.66 (define @t4 () (not @t3)) % 33.84/34.66 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 33.84/34.66 (define @t6 () (tptp.ssItem @t1)) % 33.84/34.66 (define @t7 () (@list @t1)) % 33.84/34.66 (define @t8 () (tptp.ssItem @t2)) % 33.84/34.66 (define @t9 () (@list @t2)) % 33.84/34.66 (define @t10 () (@var "X" $$unsorted)) % 33.84/34.66 (define @t11 () (tptp.cons @t1 @t10)) % 33.84/34.66 (define @t12 () (@var "W" $$unsorted)) % 33.84/34.66 (define @t13 () (tptp.ssList @t10)) % 33.84/34.66 (define @t14 () (@list @t10)) % 33.84/34.66 (define @t15 () (tptp.ssList @t12)) % 33.84/34.66 (define @t16 () (@list @t12)) % 33.84/34.66 (define @t17 () (tptp.ssList @t2)) % 33.84/34.66 (define @t18 () (tptp.cons @t1 tptp.nil)) % 33.84/34.66 (define @t19 () (tptp.app @t1 @t12)) % 33.84/34.66 (define @t20 () (tptp.frontsegP @t2 @t1)) % 33.84/34.66 (define @t21 () (tptp.ssList @t1)) % 33.84/34.66 (define @t22 () (tptp.app @t12 @t1)) % 33.84/34.66 (define @t23 () (tptp.rearsegP @t2 @t1)) % 33.84/34.66 (define @t24 () (tptp.segmentP @t2 @t1)) % 33.84/34.66 (define @t25 () (tptp.leq @t12 @t1)) % 33.84/34.66 (define @t26 () (tptp.leq @t1 @t12)) % 33.84/34.66 (define @t27 () (@var "Z" $$unsorted)) % 33.84/34.66 (define @t28 () (@var "Y" $$unsorted)) % 33.84/34.66 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 33.84/34.66 (define @t30 () (tptp.ssList @t27)) % 33.84/34.66 (define @t31 () (@list @t27)) % 33.84/34.66 (define @t32 () (tptp.ssList @t28)) % 33.84/34.66 (define @t33 () (@list @t28)) % 33.84/34.66 (define @t34 () (tptp.ssItem @t12)) % 33.84/34.66 (define @t35 () (tptp.lt @t1 @t12)) % 33.84/34.66 (define @t36 () (= @t1 @t12)) % 33.84/34.66 (define @t37 () (forall @t7 (=> @t21 @t5))) % 33.84/34.66 (define @t38 () (=> @t17 @t37)) % 33.84/34.66 (define @t39 () (forall @t9 @t38)) % 33.84/34.66 (define @t40 () (tptp.cons @t1 @t2)) % 33.84/34.66 (define @t41 () (tptp.ssList tptp.nil)) % 33.84/34.66 (define @t42 () (= @t1 @t2)) % 33.84/34.66 (define @t43 () (tptp.cons @t12 @t1)) % 33.84/34.66 (define @t44 () (= tptp.nil @t2)) % 33.84/34.66 (define @t45 () (tptp.hd @t2)) % 33.84/34.66 (define @t46 () (not @t44)) % 33.84/34.66 (define @t47 () (tptp.tl @t2)) % 33.84/34.66 (define @t48 () (tptp.app @t2 @t1)) % 33.84/34.66 (define @t49 () (tptp.ssList @t48)) % 33.84/34.66 (define @t50 () (forall @t7 (=> @t21 @t49))) % 33.84/34.66 (define @t51 () (=> @t17 @t50)) % 33.84/34.66 (define @t52 () (forall @t9 @t51)) % 33.84/34.66 (define @t53 () (tptp.app @t1 @t2)) % 33.84/34.66 (define @t54 () (tptp.app tptp.nil @t2)) % 33.84/34.66 (define @t55 () (=> @t17 (= @t54 @t2))) % 33.84/34.66 (define @t56 () (forall @t9 @t55)) % 33.84/34.66 (define @t57 () (tptp.leq @t1 @t2)) % 33.84/34.66 (define @t58 () (tptp.leq @t2 @t1)) % 33.84/34.66 (define @t59 () (tptp.geq @t2 @t1)) % 33.84/34.66 (define @t60 () (tptp.lt @t1 @t2)) % 33.84/34.66 (define @t61 () (tptp.lt @t2 @t1)) % 33.84/34.66 (define @t62 () (tptp.lt @t2 @t12)) % 33.84/34.66 (define @t63 () (tptp.gt @t2 @t1)) % 33.84/34.66 (define @t64 () (tptp.memberP @t12 @t2)) % 33.84/34.66 (define @t65 () (tptp.app @t12 @t2)) % 33.84/34.66 (define @t66 () (tptp.segmentP @t2 @t2)) % 33.84/34.66 (define @t67 () (forall @t9 (=> @t17 @t66))) % 33.84/34.66 (define @t68 () (tptp.segmentP (tptp.app @t65 @t10) @t1)) % 33.84/34.66 (define @t69 () (=> @t24 @t68)) % 33.84/34.66 (define @t70 () (forall @t14 (=> @t13 @t69))) % 33.84/34.66 (define @t71 () (=> @t15 @t70)) % 33.84/34.66 (define @t72 () (forall @t16 @t71)) % 33.84/34.66 (define @t73 () (=> @t21 @t72)) % 33.84/34.66 (define @t74 () (forall @t7 @t73)) % 33.84/34.66 (define @t75 () (=> @t17 @t74)) % 33.84/34.66 (define @t76 () (forall @t9 @t75)) % 33.84/34.66 (define @t77 () (tptp.cons @t2 tptp.nil)) % 33.84/34.66 (define @t78 () (tptp.hd @t1)) % 33.84/34.66 (define @t79 () (= tptp.nil @t1)) % 33.84/34.66 (define @t80 () (not @t79)) % 33.84/34.66 (define @t81 () (tptp.cons @t2 @t1)) % 33.84/34.66 (define @t82 () (= @t12 @t2)) % 33.84/34.66 (define @t83 () (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))) % 33.84/34.66 (define @t84 () (forall @t16 (=> @t15 @t83))) % 33.84/34.66 (define @t85 () (=> @t21 @t84)) % 33.84/34.66 (define @t86 () (forall @t7 @t85)) % 33.84/34.66 (define @t87 () (=> @t17 @t86)) % 33.84/34.66 (define @t88 () (forall @t9 @t87)) % 33.84/34.66 (define @t89 () (tptp.app @t2 tptp.nil)) % 33.84/34.66 (define @t90 () (=> @t17 (= @t89 @t2))) % 33.84/34.66 (define @t91 () (forall @t9 @t90)) % 33.84/34.66 (define @t92 () (@var "X2" $$unsorted)) % 33.84/34.66 (define @t93 () (tptp.app @t27 @t92)) % 33.84/34.66 (define @t94 () (not (= @t93 @t10))) % 33.84/34.66 (define @t95 () (@var "X1" $$unsorted)) % 33.84/34.66 (define @t96 () (tptp.app @t27 @t95)) % 33.84/34.66 (define @t97 () (tptp.app @t96 @t92)) % 33.84/34.66 (define @t98 () (not (= @t97 @t12))) % 33.84/34.66 (define @t99 () (not (tptp.ssList @t92))) % 33.84/34.66 (define @t100 () (or @t99 @t98 @t94)) % 33.84/34.66 (define @t101 () (@list @t92)) % 33.84/34.66 (define @t102 () (forall @t101 @t100)) % 33.84/34.66 (define @t103 () (tptp.ssList @t95)) % 33.84/34.66 (define @t104 () (=> @t103 @t102)) % 33.84/34.66 (define @t105 () (@list @t95)) % 33.84/34.66 (define @t106 () (forall @t105 @t104)) % 33.84/34.66 (define @t107 () (=> @t30 @t106)) % 33.84/34.66 (define @t108 () (forall @t31 @t107)) % 33.84/34.66 (define @t109 () (tptp.segmentP @t2 @t28)) % 33.84/34.66 (define @t110 () (tptp.segmentP @t1 @t28)) % 33.84/34.66 (define @t111 () (tptp.neq @t28 tptp.nil)) % 33.84/34.66 (define @t112 () (and @t32 @t111 @t110 @t109)) % 33.84/34.66 (define @t113 () (exists @t33 @t112)) % 33.84/34.66 (define @t114 () (not (tptp.neq @t1 tptp.nil))) % 33.84/34.66 (define @t115 () (not (= @t2 @t12))) % 33.84/34.66 (define @t116 () (not (= @t1 @t10))) % 33.84/34.66 (define @t117 () (not @t13)) % 33.84/34.66 (define @t118 () (or @t117 @t116 @t115 @t114 @t113 @t108)) % 33.84/34.66 (define @t119 () (forall @t14 @t118)) % 33.84/34.66 (define @t120 () (=> @t15 @t119)) % 33.84/34.66 (define @t121 () (forall @t16 @t120)) % 33.84/34.66 (define @t122 () (=> @t21 @t121)) % 33.84/34.66 (define @t123 () (forall @t7 @t122)) % 33.84/34.66 (define @t124 () (=> @t17 @t123)) % 33.84/34.66 (define @t125 () (forall @t9 @t124)) % 33.84/34.66 (define @t126 () (not @t125)) % 33.84/34.66 (define @t127 () (@var "BOUND_VARIABLE_10212" $$unsorted)) % 33.84/34.66 (define @t128 () (@var "BOUND_VARIABLE_10216" $$unsorted)) % 33.84/34.66 (define @t129 () (@var "BOUND_VARIABLE_10214" $$unsorted)) % 33.84/34.66 (define @t130 () (tptp.segmentP (tptp.app (tptp.app @t129 @t2) @t128) @t127)) % 33.84/34.66 (define @t131 () (not (tptp.ssList @t128))) % 33.84/34.66 (define @t132 () (not (tptp.ssList @t129))) % 33.84/34.66 (define @t133 () (not (tptp.segmentP @t2 @t127))) % 33.84/34.66 (define @t134 () (not (tptp.ssList @t127))) % 33.84/34.66 (define @t135 () (not @t17)) % 33.84/34.66 (define @t136 () (or @t134 @t133 @t132 @t131 @t130)) % 33.84/34.66 (define @t137 () (or @t135 @t136)) % 33.84/34.66 (define @t138 () (forall (@list @t2 @t127 @t129 @t128) @t137)) % 33.84/34.66 (define @t139 () (@list @t127 @t129 @t128)) % 33.84/34.66 (define @t140 () (forall @t139 @t137)) % 33.84/34.66 (define @t141 () (forall @t139 @t136)) % 33.84/34.66 (define @t142 () (@var "BOUND_VARIABLE_10193" $$unsorted)) % 33.84/34.66 (define @t143 () (@var "BOUND_VARIABLE_10191" $$unsorted)) % 33.84/34.66 (define @t144 () (or @t135 @t141)) % 33.84/34.66 (define @t145 () (tptp.segmentP (tptp.app (tptp.app @t143 @t2) @t142) @t1)) % 33.84/34.66 (define @t146 () (not (tptp.ssList @t142))) % 33.84/34.66 (define @t147 () (not (tptp.ssList @t143))) % 33.84/34.66 (define @t148 () (not @t24)) % 33.84/34.66 (define @t149 () (not @t21)) % 33.84/34.66 (define @t150 () (or @t149 @t148 @t147 @t146 @t145)) % 33.84/34.66 (define @t151 () (@list @t1 @t143 @t142)) % 33.84/34.66 (define @t152 () (forall @t151 @t150)) % 33.84/34.66 (define @t153 () (or @t147 @t146 @t145)) % 33.84/34.66 (define @t154 () (or @t149 @t148 @t153)) % 33.84/34.66 (define @t155 () (forall @t151 @t154)) % 33.84/34.66 (define @t156 () (@list @t143 @t142)) % 33.84/34.66 (define @t157 () (forall @t156 @t154)) % 33.84/34.66 (define @t158 () (forall @t156 @t153)) % 33.84/34.66 (define @t159 () (@var "BOUND_VARIABLE_10174" $$unsorted)) % 33.84/34.66 (define @t160 () (or @t149 @t148 @t158)) % 33.84/34.66 (define @t161 () (tptp.segmentP (tptp.app @t65 @t159) @t1)) % 33.84/34.66 (define @t162 () (not (tptp.ssList @t159))) % 33.84/34.66 (define @t163 () (not @t15)) % 33.84/34.66 (define @t164 () (or @t163 @t162 @t161)) % 33.84/34.66 (define @t165 () (@list @t12 @t159)) % 33.84/34.66 (define @t166 () (forall @t165 @t164)) % 33.84/34.66 (define @t167 () (or @t149 @t148 @t166)) % 33.84/34.66 (define @t168 () (or @t148 @t166)) % 33.84/34.66 (define @t169 () (or @t162 @t161)) % 33.84/34.66 (define @t170 () (or @t163 @t169)) % 33.84/34.66 (define @t171 () (forall @t165 @t170)) % 33.84/34.66 (define @t172 () (@list @t159)) % 33.84/34.66 (define @t173 () (forall @t172 @t170)) % 33.84/34.66 (define @t174 () (forall @t172 @t169)) % 33.84/34.66 (define @t175 () (or @t163 @t174)) % 33.84/34.66 (define @t176 () (or @t117 @t68)) % 33.84/34.66 (define @t177 () (forall @t14 @t176)) % 33.84/34.66 (define @t178 () (or @t163 @t177)) % 33.84/34.66 (define @t179 () (forall @t16 @t178)) % 33.84/34.66 (define @t180 () (or @t148 @t179)) % 33.84/34.66 (define @t181 () (or @t148 @t178)) % 33.84/34.66 (define @t182 () (or @t163 @t148 @t177)) % 33.84/34.66 (define @t183 () (or @t148 @t177)) % 33.84/34.66 (define @t184 () (or @t148 @t176)) % 33.84/34.66 (define @t185 () (or @t117 @t148 @t68)) % 33.84/34.66 (define @t186 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 33.84/34.66 (define @t187 () (not (tptp.ssList @t186))) % 33.84/34.66 (define @t188 () (@var "BOUND_VARIABLE_11142" $$unsorted)) % 33.84/34.66 (define @t189 () (not (tptp.ssList @t188))) % 33.84/34.66 (define @t190 () (@var "BOUND_VARIABLE_11140" $$unsorted)) % 33.84/34.66 (define @t191 () (not (tptp.ssList @t190))) % 33.84/34.66 (define @t192 () (tptp.app (tptp.app @t190 @t188) @t186)) % 33.84/34.66 (define @t193 () (tptp.app @t190 @t186)) % 33.84/34.66 (define @t194 () (not (tptp.segmentP @t193 @t28))) % 33.84/34.66 (define @t195 () (not @t111)) % 33.84/34.66 (define @t196 () (not @t32)) % 33.84/34.66 (define @t197 () (not (forall @t33 (or @t196 @t195 @t194 (not (tptp.segmentP @t192 @t28)))))) % 33.84/34.66 (define @t198 () (not (tptp.neq @t193 tptp.nil))) % 33.84/34.66 (define @t199 () (not (tptp.ssList @t193))) % 33.84/34.66 (define @t200 () (not (tptp.ssList @t192))) % 33.84/34.66 (define @t201 () (or @t200 @t199 @t198 @t197 @t191 @t189 @t187)) % 33.84/34.66 (define @t202 () (@list @t190 @t188 @t186)) % 33.84/34.66 (define @t203 () (forall @t202 @t201)) % 33.84/34.66 (define @t204 () (@quantifiers_skolemize @t203 1)) % 33.84/34.66 (define @t205 () (@quantifiers_skolemize @t203 2)) % 33.84/34.66 (define @t206 () (@quantifiers_skolemize @t203 0)) % 33.84/34.66 (define @t207 () (tptp.app @t206 @t205)) % 33.84/34.66 (define @t208 () (@list @t207)) % 33.84/34.66 (define @t209 () (not (= @t192 @t192))) % 33.84/34.66 (define @t210 () (or @t200 @t199 @t198 @t197 @t191 @t189 @t187 @t209)) % 33.84/34.66 (define @t211 () (not (= @t2 @t192))) % 33.84/34.66 (define @t212 () (not @t109)) % 33.84/34.66 (define @t213 () (not (forall @t33 (or @t196 @t195 @t194 @t212)))) % 33.84/34.66 (define @t214 () (or @t211 @t135 @t199 @t198 @t213 @t191 @t189 @t187 @t211)) % 33.84/34.66 (define @t215 () (or @t135 @t199 @t198 @t213 @t191 @t189 @t187 @t211)) % 33.84/34.66 (define @t216 () (forall @t9 @t215)) % 33.84/34.66 (define @t217 () (forall @t202 @t216)) % 33.84/34.66 (define @t218 () (forall (@list @t190 @t188 @t186 @t2) @t215)) % 33.84/34.66 (define @t219 () (@list @t2 @t190 @t188 @t186)) % 33.84/34.66 (define @t220 () (or @t199 @t198 @t213 @t191 @t189 @t187 @t211)) % 33.84/34.66 (define @t221 () (or @t135 @t220)) % 33.84/34.66 (define @t222 () (forall @t219 @t221)) % 33.84/34.66 (define @t223 () (forall @t202 @t221)) % 33.84/34.66 (define @t224 () (forall @t202 @t220)) % 33.84/34.66 (define @t225 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 33.84/34.66 (define @t226 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 33.84/34.66 (define @t227 () (@var "BOUND_VARIABLE_11094" $$unsorted)) % 33.84/34.66 (define @t228 () (@list @t227 @t226 @t225)) % 33.84/34.66 (define @t229 () (or @t135 @t224)) % 33.84/34.66 (define @t230 () (not (= @t2 (tptp.app (tptp.app @t227 @t226) @t225)))) % 33.84/34.66 (define @t231 () (not (tptp.ssList @t225))) % 33.84/34.66 (define @t232 () (not (tptp.ssList @t226))) % 33.84/34.66 (define @t233 () (not (tptp.ssList @t227))) % 33.84/34.66 (define @t234 () (tptp.app @t227 @t225)) % 33.84/34.66 (define @t235 () (not (forall @t33 (or @t196 @t195 (not (tptp.segmentP @t234 @t28)) @t212)))) % 33.84/34.66 (define @t236 () (not (tptp.neq @t234 tptp.nil))) % 33.84/34.66 (define @t237 () (not (tptp.ssList @t234))) % 33.84/34.66 (define @t238 () (or @t237 @t236 @t235 @t233 @t232 @t231 @t230)) % 33.84/34.66 (define @t239 () (@list @t227 @t226 @t225)) % 33.84/34.66 (define @t240 () (or @t135 (forall @t239 @t238))) % 33.84/34.66 (define @t241 () (not (= @t234 @t234))) % 33.84/34.66 (define @t242 () (or @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t241)) % 33.84/34.66 (define @t243 () (not (= @t1 @t234))) % 33.84/34.66 (define @t244 () (not @t110)) % 33.84/34.66 (define @t245 () (or @t196 @t195 @t244 @t212)) % 33.84/34.66 (define @t246 () (not (forall @t33 @t245))) % 33.84/34.66 (define @t247 () (or @t243 @t149 @t114 @t246 @t233 @t232 @t231 @t230 @t243)) % 33.84/34.66 (define @t248 () (or @t149 @t114 @t246 @t233 @t232 @t231 @t230 @t243)) % 33.84/34.66 (define @t249 () (forall @t7 @t248)) % 33.84/34.66 (define @t250 () (forall @t239 @t249)) % 33.84/34.66 (define @t251 () (forall (@list @t227 @t226 @t225 @t1) @t248)) % 33.84/34.66 (define @t252 () (@list @t1 @t227 @t226 @t225)) % 33.84/34.66 (define @t253 () (or @t233 @t232 @t231 @t230 @t243)) % 33.84/34.66 (define @t254 () (or @t149 @t114 @t246 @t253)) % 33.84/34.66 (define @t255 () (forall @t252 @t254)) % 33.84/34.66 (define @t256 () (forall @t239 @t254)) % 33.84/34.66 (define @t257 () (forall @t239 @t253)) % 33.84/34.66 (define @t258 () (@var "BOUND_VARIABLE_11051" $$unsorted)) % 33.84/34.66 (define @t259 () (@var "BOUND_VARIABLE_11049" $$unsorted)) % 33.84/34.66 (define @t260 () (@var "BOUND_VARIABLE_11047" $$unsorted)) % 33.84/34.66 (define @t261 () (@list @t260 @t259 @t258)) % 33.84/34.66 (define @t262 () (or @t149 @t114 @t246 @t257)) % 33.84/34.66 (define @t263 () (not (= @t1 (tptp.app @t260 @t258)))) % 33.84/34.66 (define @t264 () (tptp.app (tptp.app @t260 @t259) @t258)) % 33.84/34.66 (define @t265 () (not (= @t2 @t264))) % 33.84/34.66 (define @t266 () (not (tptp.ssList @t258))) % 33.84/34.66 (define @t267 () (not (tptp.ssList @t259))) % 33.84/34.66 (define @t268 () (not (tptp.ssList @t260))) % 33.84/34.66 (define @t269 () (or @t268 @t267 @t266 @t265 @t263)) % 33.84/34.66 (define @t270 () (@list @t260 @t259 @t258)) % 33.84/34.66 (define @t271 () (forall @t270 @t269)) % 33.84/34.66 (define @t272 () (or @t149 @t114 @t246 @t271)) % 33.84/34.66 (define @t273 () (forall @t7 @t272)) % 33.84/34.66 (define @t274 () (or @t135 @t273)) % 33.84/34.66 (define @t275 () (or @t135 @t272)) % 33.84/34.66 (define @t276 () (or @t149 @t114 @t246 @t135 @t271)) % 33.84/34.66 (define @t277 () (or @t114 @t246 @t149 @t135 @t271)) % 33.84/34.66 (define @t278 () (or @t135 @t271)) % 33.84/34.66 (define @t279 () (or @t135 @t269)) % 33.84/34.66 (define @t280 () (or @t135 @t268 @t267 @t266 @t265 @t263)) % 33.84/34.66 (define @t281 () (not (= @t2 @t2))) % 33.84/34.66 (define @t282 () (or @t135 @t281 @t268 @t267 @t266 @t265 @t263)) % 33.84/34.66 (define @t283 () (not (= @t12 @t264))) % 33.84/34.66 (define @t284 () (or @t115 @t163 @t115 @t268 @t267 @t266 @t283 @t263)) % 33.84/34.66 (define @t285 () (or @t163 @t115 @t268 @t267 @t266 @t283 @t263)) % 33.84/34.66 (define @t286 () (forall @t16 @t285)) % 33.84/34.66 (define @t287 () (forall @t270 @t286)) % 33.84/34.66 (define @t288 () (forall (@list @t260 @t259 @t258 @t12) @t285)) % 33.84/34.66 (define @t289 () (@list @t12 @t260 @t259 @t258)) % 33.84/34.66 (define @t290 () (or @t268 @t267 @t266 @t283 @t263)) % 33.84/34.66 (define @t291 () (or @t163 @t115 @t290)) % 33.84/34.66 (define @t292 () (forall @t289 @t291)) % 33.84/34.66 (define @t293 () (forall @t270 @t291)) % 33.84/34.66 (define @t294 () (forall @t270 @t290)) % 33.84/34.66 (define @t295 () (@var "BOUND_VARIABLE_11006" $$unsorted)) % 33.84/34.66 (define @t296 () (@var "BOUND_VARIABLE_11004" $$unsorted)) % 33.84/34.66 (define @t297 () (@var "BOUND_VARIABLE_11002" $$unsorted)) % 33.84/34.66 (define @t298 () (@list @t297 @t296 @t295)) % 33.84/34.66 (define @t299 () (or @t163 @t115 @t294)) % 33.84/34.66 (define @t300 () (tptp.app @t297 @t295)) % 33.84/34.66 (define @t301 () (not (= @t1 @t300))) % 33.84/34.66 (define @t302 () (not (= @t12 (tptp.app (tptp.app @t297 @t296) @t295)))) % 33.84/34.66 (define @t303 () (not (tptp.ssList @t295))) % 33.84/34.66 (define @t304 () (not (tptp.ssList @t296))) % 33.84/34.66 (define @t305 () (not (tptp.ssList @t297))) % 33.84/34.66 (define @t306 () (or @t305 @t304 @t303 @t302 @t301)) % 33.84/34.66 (define @t307 () (@list @t297 @t296 @t295)) % 33.84/34.66 (define @t308 () (forall @t307 @t306)) % 33.84/34.66 (define @t309 () (or @t163 @t115 @t308)) % 33.84/34.66 (define @t310 () (forall @t16 @t309)) % 33.84/34.66 (define @t311 () (or @t114 @t246 @t149 @t310)) % 33.84/34.66 (define @t312 () (or @t114 @t246 @t149 @t309)) % 33.84/34.66 (define @t313 () (or @t163 @t115 @t114 @t246 @t149 @t308)) % 33.84/34.66 (define @t314 () (or @t115 @t114 @t246 @t149 @t308)) % 33.84/34.66 (define @t315 () (or @t149 @t308)) % 33.84/34.66 (define @t316 () (or @t149 @t306)) % 33.84/34.66 (define @t317 () (or @t149 @t305 @t304 @t303 @t302 @t301)) % 33.84/34.66 (define @t318 () (not (= @t1 @t1))) % 33.84/34.66 (define @t319 () (or @t149 @t318 @t305 @t304 @t303 @t302 @t301)) % 33.84/34.66 (define @t320 () (not (= @t10 @t300))) % 33.84/34.66 (define @t321 () (or @t116 @t117 @t116 @t305 @t304 @t303 @t302 @t320)) % 33.84/34.66 (define @t322 () (or @t117 @t116 @t305 @t304 @t303 @t302 @t320)) % 33.84/34.66 (define @t323 () (forall @t14 @t322)) % 33.84/34.66 (define @t324 () (forall @t307 @t323)) % 33.84/34.66 (define @t325 () (forall (@list @t297 @t296 @t295 @t10) @t322)) % 33.84/34.66 (define @t326 () (@list @t10 @t297 @t296 @t295)) % 33.84/34.66 (define @t327 () (or @t305 @t304 @t303 @t302 @t320)) % 33.84/34.66 (define @t328 () (or @t117 @t116 @t327)) % 33.84/34.66 (define @t329 () (forall @t326 @t328)) % 33.84/34.66 (define @t330 () (forall @t307 @t328)) % 33.84/34.66 (define @t331 () (forall @t307 @t327)) % 33.84/34.66 (define @t332 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 33.84/34.66 (define @t333 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 33.84/34.66 (define @t334 () (or @t117 @t116 @t331)) % 33.84/34.66 (define @t335 () (not (= @t10 (tptp.app @t27 @t332)))) % 33.84/34.66 (define @t336 () (not (= @t12 (tptp.app (tptp.app @t27 @t333) @t332)))) % 33.84/34.66 (define @t337 () (not (tptp.ssList @t332))) % 33.84/34.66 (define @t338 () (not (tptp.ssList @t333))) % 33.84/34.66 (define @t339 () (not @t30)) % 33.84/34.66 (define @t340 () (or @t339 @t338 @t337 @t336 @t335)) % 33.84/34.66 (define @t341 () (@list @t27 @t333 @t332)) % 33.84/34.66 (define @t342 () (forall @t341 @t340)) % 33.84/34.66 (define @t343 () (or @t117 @t116 @t342)) % 33.84/34.66 (define @t344 () (forall @t14 @t343)) % 33.84/34.66 (define @t345 () (or @t115 @t114 @t246 @t344)) % 33.84/34.66 (define @t346 () (or @t115 @t114 @t246 @t343)) % 33.84/34.66 (define @t347 () (or @t117 @t116 @t115 @t114 @t246 @t342)) % 33.84/34.66 (define @t348 () (or @t338 @t337 @t336 @t335)) % 33.84/34.66 (define @t349 () (or @t339 @t348)) % 33.84/34.66 (define @t350 () (forall @t341 @t349)) % 33.84/34.66 (define @t351 () (@list @t333 @t332)) % 33.84/34.66 (define @t352 () (forall @t351 @t349)) % 33.84/34.66 (define @t353 () (forall @t351 @t348)) % 33.84/34.66 (define @t354 () (@var "BOUND_VARIABLE_10956" $$unsorted)) % 33.84/34.66 (define @t355 () (or @t339 @t353)) % 33.84/34.66 (define @t356 () (not (= @t10 (tptp.app @t27 @t354)))) % 33.84/34.66 (define @t357 () (not (= @t12 (tptp.app @t96 @t354)))) % 33.84/34.66 (define @t358 () (not (tptp.ssList @t354))) % 33.84/34.66 (define @t359 () (not @t103)) % 33.84/34.66 (define @t360 () (or @t359 @t358 @t357 @t356)) % 33.84/34.66 (define @t361 () (@list @t95 @t354)) % 33.84/34.66 (define @t362 () (forall @t361 @t360)) % 33.84/34.66 (define @t363 () (or @t358 @t357 @t356)) % 33.84/34.66 (define @t364 () (or @t359 @t363)) % 33.84/34.66 (define @t365 () (forall @t361 @t364)) % 33.84/34.66 (define @t366 () (@list @t354)) % 33.84/34.66 (define @t367 () (forall @t366 @t364)) % 33.84/34.66 (define @t368 () (forall @t366 @t363)) % 33.84/34.66 (define @t369 () (or @t359 @t368)) % 33.84/34.66 (define @t370 () (forall @t101 (or @t99 (not (= @t12 @t97)) (not (= @t10 @t93))))) % 33.84/34.66 (define @t371 () (forall @t33 (not @t112))) % 33.84/34.66 (define @t372 () (not @t371)) % 33.84/34.66 (define @t373 () (tptp.ssList @t207)) % 33.84/34.66 (define @t374 () (tptp.ssList @t205)) % 33.84/34.66 (define @t375 () (not @t374)) % 33.84/34.66 (define @t376 () (tptp.ssList @t204)) % 33.84/34.66 (define @t377 () (not @t376)) % 33.84/34.66 (define @t378 () (tptp.ssList @t206)) % 33.84/34.66 (define @t379 () (not @t378)) % 33.84/34.66 (define @t380 () (tptp.app @t206 @t204)) % 33.84/34.66 (define @t381 () (tptp.app @t380 @t205)) % 33.84/34.66 (define @t382 () (forall @t33 (or @t196 @t195 (not (tptp.segmentP @t207 @t28)) (not (tptp.segmentP @t381 @t28))))) % 33.84/34.66 (define @t383 () (not @t382)) % 33.84/34.66 (define @t384 () (tptp.neq @t207 tptp.nil)) % 33.84/34.66 (define @t385 () (not @t384)) % 33.84/34.66 (define @t386 () (not @t373)) % 33.84/34.66 (define @t387 () (tptp.ssList @t381)) % 33.84/34.66 (define @t388 () (not @t387)) % 33.84/34.66 (define @t389 () (or @t388 @t386 @t385 @t383 @t379 @t377 @t375)) % 33.84/34.66 (define @t390 () (@list true)) % 33.84/34.66 (define @t391 () (@list @t389)) % 33.84/34.66 (define @t392 () (tptp.segmentP @t207 @t207)) % 33.84/34.66 (define @t393 () (or @t386 @t392)) % 33.84/34.66 (define @t394 () (@list false false)) % 33.84/34.66 (define @t395 () (tptp.app tptp.nil @t207)) % 33.84/34.66 (define @t396 () (tptp.segmentP (tptp.app @t395 @t204) @t207)) % 33.84/34.66 (define @t397 () (not @t41)) % 33.84/34.66 (define @t398 () (not @t392)) % 33.84/34.66 (define @t399 () (or @t386 @t386 @t398 @t397 @t377 @t396)) % 33.84/34.66 (define @t400 () (@list false false false false false)) % 33.84/34.66 (define @t401 () (= @t2 @t54)) % 33.84/34.66 (define @t402 () (= @t207 @t395)) % 33.84/34.66 (define @t403 () (or @t386 @t402)) % 33.84/34.66 (define @t404 () (@list @t206)) % 33.84/34.66 (define @t405 () (tptp.app tptp.nil @t206)) % 33.84/34.66 (define @t406 () (= @t206 @t405)) % 33.84/34.66 (define @t407 () (or @t379 @t406)) % 33.84/34.66 (define @t408 () (@var "BOUND_VARIABLE_9113" $$unsorted)) % 33.84/34.66 (define @t409 () (= (tptp.neq @t2 @t408) (not (= @t2 @t408)))) % 33.84/34.66 (define @t410 () (not (tptp.ssList @t408))) % 33.84/34.66 (define @t411 () (or @t135 @t410 @t409)) % 33.84/34.66 (define @t412 () (or @t410 @t409)) % 33.84/34.66 (define @t413 () (or @t135 @t412)) % 33.84/34.66 (define @t414 () (@list @t2 @t408)) % 33.84/34.66 (define @t415 () (forall @t414 @t413)) % 33.84/34.66 (define @t416 () (@list @t408)) % 33.84/34.66 (define @t417 () (forall @t416 @t413)) % 33.84/34.66 (define @t418 () (forall @t416 @t412)) % 33.84/34.66 (define @t419 () (@list @t1)) % 33.84/34.66 (define @t420 () (or @t135 @t418)) % 33.84/34.66 (define @t421 () (forall @t7 (or @t149 @t5))) % 33.84/34.66 (define @t422 () (tptp.neq @t205 tptp.nil)) % 33.84/34.66 (define @t423 () (= tptp.nil @t205)) % 33.84/34.66 (define @t424 () (not @t423)) % 33.84/34.66 (define @t425 () (not (= @t205 tptp.nil))) % 33.84/34.66 (define @t426 () (= @t422 @t425)) % 33.84/34.66 (define @t427 () (or @t375 @t397 @t426)) % 33.84/34.66 (define @t428 () (forall @t414 @t411)) % 33.84/34.66 (define @t429 () (= @t424 @t422)) % 33.84/34.66 (define @t430 () (or @t375 @t397 @t429)) % 33.84/34.66 (define @t431 () (@list false false false)) % 33.84/34.66 (define @t432 () (@list @t205)) % 33.84/34.66 (define @t433 () (tptp.segmentP @t205 @t205)) % 33.84/34.66 (define @t434 () (or @t375 @t433)) % 33.84/34.66 (define @t435 () (@var "BOUND_VARIABLE_9378" $$unsorted)) % 33.84/34.66 (define @t436 () (tptp.ssList (tptp.app @t2 @t435))) % 33.84/34.66 (define @t437 () (not (tptp.ssList @t435))) % 33.84/34.66 (define @t438 () (or @t437 @t436)) % 33.84/34.66 (define @t439 () (or @t135 @t438)) % 33.84/34.66 (define @t440 () (forall (@list @t2 @t435) @t439)) % 33.84/34.66 (define @t441 () (@list @t435)) % 33.84/34.66 (define @t442 () (forall @t441 @t439)) % 33.84/34.66 (define @t443 () (forall @t441 @t438)) % 33.84/34.66 (define @t444 () (or @t135 @t443)) % 33.84/34.66 (define @t445 () (forall @t7 (or @t149 @t49))) % 33.84/34.66 (define @t446 () (tptp.ssList @t380)) % 33.84/34.66 (define @t447 () (or @t379 @t377 @t446)) % 33.84/34.66 (define @t448 () (tptp.app @t381 tptp.nil)) % 33.84/34.66 (define @t449 () (tptp.segmentP @t448 @t205)) % 33.84/34.66 (define @t450 () (not @t446)) % 33.84/34.66 (define @t451 () (not @t433)) % 33.84/34.66 (define @t452 () (or @t375 @t375 @t451 @t450 @t397 @t449)) % 33.84/34.66 (define @t453 () (= @t2 @t89)) % 33.84/34.66 (define @t454 () (= @t381 @t448)) % 33.84/34.66 (define @t455 () (or @t388 @t454)) % 33.84/34.66 (define @t456 () (tptp.segmentP @t381 @t205)) % 33.84/34.66 (define @t457 () (tptp.app @t207 tptp.nil)) % 33.84/34.66 (define @t458 () (tptp.segmentP @t457 @t205)) % 33.84/34.66 (define @t459 () (or @t375 @t375 @t451 @t379 @t397 @t458)) % 33.84/34.66 (define @t460 () (= @t207 @t457)) % 33.84/34.66 (define @t461 () (or @t386 @t460)) % 33.84/34.66 (define @t462 () (tptp.segmentP @t207 @t205)) % 33.84/34.66 (define @t463 () (not @t456)) % 33.84/34.66 (define @t464 () (not @t462)) % 33.84/34.66 (define @t465 () (not @t422)) % 33.84/34.66 (define @t466 () (or @t375 @t465 @t464 @t463)) % 33.84/34.66 (define @t467 () (@list false false false false)) % 33.84/34.66 (define @t468 () (not @t429)) % 33.84/34.66 (define @t469 () (tptp.app @t206 tptp.nil)) % 33.84/34.66 (define @t470 () (= @t206 @t469)) % 33.84/34.66 (define @t471 () (or @t379 @t470)) % 33.84/34.66 (define @t472 () (= @t204 (tptp.app @t204 tptp.nil))) % 33.84/34.66 (define @t473 () (or @t377 @t472)) % 33.84/34.66 (define @t474 () (tptp.app @t204 @t205)) % 33.84/34.66 (define @t475 () (tptp.app @t206 @t474)) % 33.84/34.66 (define @t476 () (@var "BOUND_VARIABLE_10578" $$unsorted)) % 33.84/34.66 (define @t477 () (@var "BOUND_VARIABLE_10576" $$unsorted)) % 33.84/34.66 (define @t478 () (= (tptp.app (tptp.app @t2 @t477) @t476) (tptp.app @t2 (tptp.app @t477 @t476)))) % 33.84/34.66 (define @t479 () (not (tptp.ssList @t476))) % 33.84/34.66 (define @t480 () (not (tptp.ssList @t477))) % 33.84/34.66 (define @t481 () (or @t480 @t479 @t478)) % 33.84/34.66 (define @t482 () (or @t135 @t481)) % 33.84/34.66 (define @t483 () (forall (@list @t2 @t477 @t476) @t482)) % 33.84/34.66 (define @t484 () (@list @t477 @t476)) % 33.84/34.66 (define @t485 () (forall @t484 @t482)) % 33.84/34.66 (define @t486 () (forall @t484 @t481)) % 33.84/34.66 (define @t487 () (@var "BOUND_VARIABLE_10558" $$unsorted)) % 33.84/34.66 (define @t488 () (or @t135 @t486)) % 33.84/34.66 (define @t489 () (= (tptp.app @t48 @t487) (tptp.app @t2 (tptp.app @t1 @t487)))) % 33.84/34.66 (define @t490 () (not (tptp.ssList @t487))) % 33.84/34.66 (define @t491 () (or @t149 @t490 @t489)) % 33.84/34.66 (define @t492 () (@list @t1 @t487)) % 33.84/34.66 (define @t493 () (forall @t492 @t491)) % 33.84/34.66 (define @t494 () (or @t490 @t489)) % 33.84/34.66 (define @t495 () (or @t149 @t494)) % 33.84/34.66 (define @t496 () (forall @t492 @t495)) % 33.84/34.66 (define @t497 () (@list @t487)) % 33.84/34.66 (define @t498 () (forall @t497 @t495)) % 33.84/34.66 (define @t499 () (forall @t497 @t494)) % 33.84/34.66 (define @t500 () (or @t149 @t499)) % 33.84/34.66 (define @t501 () (forall @t16 (or @t163 @t83))) % 33.84/34.66 (define @t502 () (= @t381 @t475)) % 33.84/34.66 (define @t503 () (or @t379 @t377 @t375 @t502)) % 33.84/34.66 (define @t504 () (tptp.segmentP @t381 @t207)) % 33.84/34.66 (define @t505 () (not @t504)) % 33.84/34.66 (define @t506 () (or @t386 @t385 @t398 @t505)) % 33.84/34.66 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 33.84/34.66 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 33.84/34.66 (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))))))))))) % 33.84/34.66 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 33.84/34.66 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 33.84/34.66 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 33.84/34.66 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 33.84/34.66 (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))))))))))))))))) % 33.84/34.66 (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)))))))))))))))) % 33.84/34.66 (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))))))))))))))))) % 33.84/34.66 (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))))))))))))))) % 33.84/34.66 (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))))))))))))))) % 33.84/34.66 (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)))))))))))))))) % 33.84/34.66 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 33.84/34.66 (assume @p15 @t39) % 33.84/34.66 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 33.84/34.66 (assume @p17 @t41) % 33.84/34.66 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 33.84/34.66 (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) @t42))))))))))) % 33.84/34.66 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 33.84/34.66 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 33.84/34.66 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 33.84/34.66 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 33.84/34.66 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 33.84/34.66 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 33.84/34.66 (assume @p26 @t52) % 33.84/34.66 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t53) (tptp.app @t43 @t2))))))))) % 33.84/34.66 (assume @p28 @t56) % 33.84/34.66 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 33.84/34.66 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t26) (tptp.leq @t2 @t12))))))))) % 33.84/34.66 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 33.84/34.66 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 33.84/34.66 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 33.84/34.66 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 @t35) @t62)))))))) % 33.84/34.66 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 33.84/34.66 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 33.84/34.66 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 33.84/34.66 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 33.84/34.66 (assume @p39 (not (tptp.singletonP tptp.nil))) % 33.84/34.66 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 33.84/34.66 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 33.84/34.66 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 33.84/34.66 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 33.84/34.66 (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)))))))))))) % 33.84/34.66 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 33.84/34.66 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 33.84/34.66 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 33.84/34.66 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 33.84/34.66 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 33.84/34.66 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t65 @t1))))))))) % 33.84/34.66 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 33.84/34.66 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 33.84/34.66 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 33.84/34.66 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 33.84/34.66 (assume @p55 @t67) % 33.84/34.66 (assume @p56 @t76) % 33.84/34.66 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 33.84/34.66 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 33.84/34.66 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 33.84/34.66 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 33.84/34.66 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 33.84/34.66 (assume @p62 (tptp.totalorderP tptp.nil)) % 33.84/34.66 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 33.84/34.66 (assume @p64 (tptp.strictorderP tptp.nil)) % 33.84/34.66 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 33.84/34.66 (assume @p66 (tptp.totalorderedP tptp.nil)) % 33.84/34.66 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 33.84/34.66 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 33.84/34.66 (assume @p69 (tptp.strictorderedP tptp.nil)) % 33.84/34.66 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 33.84/34.66 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 33.84/34.66 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 33.84/34.66 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 33.84/34.66 (assume @p74 (tptp.equalelemsP tptp.nil)) % 33.84/34.66 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 33.84/34.66 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 33.84/34.66 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t80 @t46 (= @t78 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 33.84/34.66 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 33.84/34.66 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t82)))))))) % 33.84/34.66 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t82)))))))) % 33.84/34.66 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 33.84/34.66 (assume @p82 @t88) % 33.84/34.66 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t48) (and @t79 @t44))))))) % 33.84/34.66 (assume @p84 @t91) % 33.84/34.66 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 33.84/34.66 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 33.84/34.66 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 (tptp.geq @t1 @t2)) @t3)))))) % 33.84/34.66 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 33.84/34.66 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 33.84/34.66 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 33.84/34.66 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t62)))))))) % 33.84/34.66 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (or @t3 @t61))))))) % 33.84/34.66 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 (and @t4 @t58))))))) % 33.84/34.66 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not (tptp.gt @t1 @t2)))))))) % 33.84/34.66 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 33.84/34.66 (assume @p96 @t126) % 33.84/34.66 (assume @p97 true) % 33.84/34.66 (step @p98 :rule evaluate :args ((= false true))) % 33.84/34.66 (step @p99 :rule aci_norm :args ((= @t137 (or @t135 @t134 @t133 @t132 @t131 @t130)))) % 33.84/34.66 (step @p100 :rule cong :premises (@p99) :args (@t138)) % 33.84/34.66 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t140) @t138))) % 33.84/34.66 (step @p102 :rule alpha_equiv :args (@t141 (@list @t127 @t129 @t128) (@list @t1 @t143 @t142))) % 33.84/34.66 (step @p103 :rule refl :args (@t135)) % 33.84/34.66 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t144)) % 33.84/34.66 (step @p105 :rule quant-miniscope-or :args ((= @t140 @t144))) % 33.84/34.66 (step @p106 :rule trans :premises (@p105 @p104)) % 33.84/34.66 (step @p107 :rule symm :premises (@p106)) % 33.84/34.66 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t135 @t152)))) % 33.84/34.66 (step @p109 :rule trans :premises (@p108 @p101)) % 33.84/34.66 (step @p110 :rule trans :premises (@p109 @p100)) % 33.84/34.66 (step @p111 :rule bool-impl-elim :args (@t17 @t152)) % 33.84/34.66 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t17 @t152)))) % 33.84/34.66 (step @p113 :rule trans :premises (@p112 @p110)) % 33.84/34.66 (step @p114 :rule aci_norm :args ((= @t154 @t150))) % 33.84/34.66 (step @p115 :rule cong :premises (@p114) :args (@t155)) % 33.84/34.66 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t157) @t155))) % 33.84/34.66 (step @p117 :rule alpha_equiv :args (@t158 (@list @t143 @t142) (@list @t12 @t159))) % 33.84/34.66 (step @p118 :rule refl :args (@t148)) % 33.84/34.66 (step @p119 :rule refl :args (@t149)) % 33.84/34.66 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t160)) % 33.84/34.66 (step @p121 :rule quant-miniscope-or :args ((= @t157 @t160))) % 33.84/34.66 (step @p122 :rule trans :premises (@p121 @p120)) % 33.84/34.66 (step @p123 :rule symm :premises (@p122)) % 33.84/34.66 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 @t167))) % 33.84/34.66 (step @p125 :rule trans :premises (@p124 @p116)) % 33.84/34.66 (step @p126 :rule trans :premises (@p125 @p115)) % 33.84/34.66 (step @p127 :rule aci_norm :args ((= (or @t149 @t168) @t167))) % 33.84/34.66 (step @p128 :rule bool-impl-elim :args (@t21 @t168)) % 33.84/34.66 (step @p129 :rule trans :premises (@p128 @p127)) % 33.84/34.66 (step @p130 :rule cong :premises (@p129) :args ((forall @t7 (=> @t21 @t168)))) % 33.84/34.66 (step @p131 :rule trans :premises (@p130 @p126)) % 33.84/34.66 (step @p132 :rule aci_norm :args ((= @t170 @t164))) % 33.84/34.66 (step @p133 :rule cong :premises (@p132) :args (@t171)) % 33.84/34.66 (step @p134 :rule quant-merge-prenex :args ((= (forall @t16 @t173) @t171))) % 33.84/34.66 (step @p135 :rule alpha_equiv :args (@t174 (@list @t159) (@list @t10))) % 33.84/34.66 (step @p136 :rule refl :args (@t163)) % 33.84/34.66 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t175)) % 33.84/34.66 (step @p138 :rule quant-miniscope-or :args ((= @t173 @t175))) % 33.84/34.66 (step @p139 :rule trans :premises (@p138 @p137)) % 33.84/34.66 (step @p140 :rule symm :premises (@p139)) % 33.84/34.66 (step @p141 :rule cong :premises (@p140) :args (@t179)) % 33.84/34.66 (step @p142 :rule trans :premises (@p141 @p134)) % 33.84/34.66 (step @p143 :rule trans :premises (@p142 @p133)) % 33.84/34.66 (step @p144 :rule refl :args (@t148)) % 33.84/34.66 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t180)) % 33.84/34.66 (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t181) @t180))) % 33.84/34.66 (step @p147 :rule aci_norm :args ((= @t182 @t181))) % 33.84/34.66 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t182))) % 33.84/34.66 (step @p149 :rule trans :premises (@p148 @p146)) % 33.84/34.66 (step @p150 :rule trans :premises (@p149 @p145)) % 33.84/34.66 (step @p151 :rule aci_norm :args ((= (or @t163 @t183) @t182))) % 33.84/34.66 (step @p152 :rule bool-impl-elim :args (@t15 @t183)) % 33.84/34.66 (step @p153 :rule trans :premises (@p152 @p151)) % 33.84/34.66 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t183)))) % 33.84/34.66 (step @p155 :rule trans :premises (@p154 @p150)) % 33.84/34.66 (step @p156 :rule quant-miniscope-or :args ((= (forall @t14 @t184) @t183))) % 33.84/34.66 (step @p157 :rule aci_norm :args ((= @t185 @t184))) % 33.84/34.66 (step @p158 :rule cong :premises (@p157) :args ((forall @t14 @t185))) % 33.84/34.66 (step @p159 :rule trans :premises (@p158 @p156)) % 33.84/34.66 (step @p160 :rule aci_norm :args ((= (or @t117 (or @t148 @t68)) @t185))) % 33.84/34.66 (step @p161 :rule bool-impl-elim :args (@t24 @t68)) % 33.84/34.66 (step @p162 :rule refl :args (@t117)) % 33.84/34.66 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t117 @t69))) % 33.84/34.66 (step @p164 :rule trans :premises (@p163 @p160)) % 33.84/34.66 (step @p165 :rule bool-impl-elim :args (@t13 @t69)) % 33.84/34.66 (step @p166 :rule trans 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(step @p240 :rule nary_cong :premises (@p239 @p238 @p237 @p236 @p235 @p234 @p233 @p232) :args (@t242)) % 33.84/34.66 (step @p241 :rule trans :premises (@p240 @p229)) % 33.84/34.66 (step @p242 :rule cong :premises (@p241) :args ((forall @t239 @t242))) % 33.84/34.66 (step @p243 :rule quant-var-elim-eq :args ((= (forall @t7 @t247) @t242))) % 33.84/34.66 (step @p244 :rule aci_norm :args ((= @t248 @t247))) % 33.84/34.66 (step @p245 :rule cong :premises (@p244) :args (@t249)) % 33.84/34.66 (step @p246 :rule trans :premises (@p245 @p243)) % 33.84/34.66 (step @p247 :rule cong :premises (@p246) :args (@t250)) % 33.84/34.66 (step @p248 :rule quant-merge-prenex :args ((= @t250 @t251))) % 33.84/34.66 (step @p249 :rule symm :premises (@p248)) % 33.84/34.66 (step @p250 :rule quant_var_reordering :args ((= (forall @t252 @t248) @t251))) % 33.84/34.66 (step @p251 :rule trans :premises (@p250 @p249 @p247)) % 33.84/34.66 (step @p252 :rule trans :premises (@p251 @p242)) % 33.84/34.66 (step @p253 :rule 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33.84/34.66 (step @p609 :rule cnf_or_pos :args (@t452)) % 33.84/34.66 (step @p610 :rule factoring :premises (@p609)) % 33.84/34.66 (step @p611 :rule reordering :premises (@p610) :args ((or @t397 @t375 @t450 @t451 @t449 (not @t452)))) % 33.84/34.66 (step @p612 :rule chain_m_resolution :premises (@p611 @p17 @p569 @p608 @p584 @p580) :args (@t449 @t400 (@list @t41 @t374 @t446 @t433 @t452))) % 33.84/34.66 (step @p613 :rule true_intro :premises (@p612)) % 33.84/34.66 (step @p614 :rule bool-impl-elim :args (@t17 @t453)) % 33.84/34.66 (step @p615 :rule cong :premises (@p614) :args ((forall @t9 (=> @t17 @t453)))) % 33.84/34.66 (step @p616 :rule eq-symm :args (@t89 @t2)) % 33.84/34.66 (step @p617 :rule cong :premises (@p177 @p616) :args (@t90)) % 33.84/34.66 (step @p618 :rule cong :premises (@p617) :args (@t91)) % 33.84/34.66 (step @p619 :rule trans :premises (@p618 @p615)) % 33.84/34.66 (step @p620 :rule eq_resolve :premises (@p84 @p619)) % 33.84/34.66 (step @p621 :rule instantiate :premises (@p620) :args ((@list @t381))) % 33.84/34.66 (step @p622 :rule bool-double-not-elim :args (@t387)) % 33.84/34.66 (step @p623 :rule nary_cong :premises (@p480 @p622) :args ((or @t389 (not @t388)))) % 33.84/34.66 (step @p624 :rule cnf_or_neg :args (@t389 0)) % 33.84/34.66 (step @p625 :rule eq_resolve :premises (@p624 @p623)) % 33.84/34.66 (step @p626 :rule reordering :premises (@p625) :args ((or @t387 @t389))) % 33.84/34.66 (step @p627 :rule chain_m_resolution :premises (@p626 @p478) :args (@t387 @t390 @t391)) % 33.84/34.66 (step @p628 :rule cnf_or_pos :args (@t455)) % 33.84/34.66 (step @p629 :rule reordering :premises (@p628) :args ((or @t388 @t454 (not @t455)))) % 33.84/34.66 (step @p630 :rule chain_m_resolution :premises (@p629 @p627 @p621) :args (@t454 @t394 (@list @t387 @t455))) % 33.84/34.66 (step @p631 :rule cong :premises (@p630 @p513) :args (@t456)) % 33.84/34.66 (step @p632 :rule trans :premises (@p631 @p613)) % 33.84/34.66 (step @p633 :rule true_elim :premises (@p632)) % 33.84/34.66 (step @p634 :rule instantiate :premises (@p181) :args ((@list @t205 @t205 @t206 tptp.nil))) % 33.84/34.66 (step @p635 :rule cnf_or_pos :args (@t459)) % 33.84/34.66 (step @p636 :rule factoring :premises (@p635)) % 33.84/34.66 (step @p637 :rule reordering :premises (@p636) :args ((or @t397 @t379 @t375 @t451 @t458 (not @t459)))) % 33.84/34.66 (step @p638 :rule chain_m_resolution :premises (@p637 @p17 @p520 @p569 @p584 @p634) :args (@t458 @t400 (@list @t41 @t378 @t374 @t433 @t459))) % 33.84/34.66 (step @p639 :rule true_intro :premises (@p638)) % 33.84/34.66 (step @p640 :rule instantiate :premises (@p620) :args (@t208)) % 33.84/34.66 (step @p641 :rule cnf_or_pos :args (@t461)) % 33.84/34.66 (step @p642 :rule reordering :premises (@p641) :args ((or @t386 @t460 (not @t461)))) % 33.84/34.66 (step @p643 :rule chain_m_resolution :premises (@p642 @p485 @p640) :args (@t460 @t394 (@list @t373 @t461))) % 33.84/34.66 (step @p644 :rule cong :premises (@p643 @p513) :args (@t462)) % 33.84/34.66 (step @p645 :rule trans :premises (@p644 @p639)) % 33.84/34.66 (step @p646 :rule true_elim :premises (@p645)) % 33.84/34.66 (step @p647 :rule cnf_or_pos :args (@t466)) % 33.84/34.66 (step @p648 :rule reordering :premises (@p647) :args ((or @t375 @t465 @t464 @t463 (not @t466)))) % 33.84/34.66 (step @p649 :rule chain_m_resolution :premises (@p648 @p569 @p646 @p633 @p579) :args (@t465 @t467 (@list @t374 @t462 @t456 @t466))) % 33.84/34.66 (step @p650 :rule bool-double-not-elim :args (@t423)) % 33.84/34.66 (step @p651 :rule refl :args (@t468)) % 33.84/34.66 (step @p652 :rule nary_cong :premises (@p651 @p650 @p549) :args ((or @t468 (not @t424) @t422))) % 33.84/34.66 (step @p653 :rule cnf_equiv_pos1 :args (@t429)) % 33.84/34.66 (step @p654 :rule eq_resolve :premises (@p653 @p652)) % 33.84/34.66 (step @p655 :rule reordering :premises (@p654) :args ((or @t423 @t422 @t468))) % 33.84/34.66 (step @p656 :rule chain_m_resolution :premises (@p655 @p649 @p572) :args (@t423 (@list true false) (@list @t422 @t429))) % 33.84/34.66 (step @p657 :rule cong :premises (@p523 @p656) :args (@t469)) % 33.84/34.66 (step @p658 :rule instantiate :premises (@p620) :args (@t404)) % 33.84/34.66 (step @p659 :rule cnf_or_pos :args (@t471)) % 33.84/34.66 (step @p660 :rule reordering :premises (@p659) :args ((or @t379 @t470 (not @t471)))) % 33.84/34.66 (step @p661 :rule chain_m_resolution :premises (@p660 @p520 @p658) :args (@t470 @t394 (@list @t378 @t471))) % 33.84/34.66 (step @p662 :rule trans :premises (@p661 @p657 @p525)) % 33.84/34.66 (step @p663 :rule trans :premises (@p662 @p512)) % 33.84/34.66 (step @p664 :rule cong :premises (@p663 @p501) :args (@t380)) % 33.84/34.66 (step @p665 :rule instantiate :premises (@p620) :args ((@list @t204))) % 33.84/34.66 (step @p666 :rule cnf_or_pos :args (@t473)) % 33.84/34.66 (step @p667 :rule reordering :premises (@p666) :args ((or @t377 @t472 (not @t473)))) % 33.84/34.66 (step @p668 :rule chain_m_resolution :premises (@p667 @p494 @p665) :args (@t472 @t394 (@list @t376 @t473))) % 33.84/34.66 (step @p669 :rule symm :premises (@p668)) % 33.84/34.66 (step @p670 :rule symm :premises (@p656)) % 33.84/34.66 (step @p671 :rule cong :premises (@p501 @p670) :args (@t474)) % 33.84/34.66 (step @p672 :rule trans :premises (@p671 @p669)) % 33.84/34.66 (step @p673 :rule refl :args (@t206)) % 33.84/34.66 (step @p674 :rule cong :premises (@p673 @p672) :args (@t475)) % 33.84/34.66 (step @p675 :rule aci_norm :args ((= @t482 (or @t135 @t480 @t479 @t478)))) % 33.84/34.66 (step @p676 :rule cong :premises (@p675) :args (@t483)) % 33.84/34.66 (step @p677 :rule quant-merge-prenex :args ((= (forall @t9 @t485) @t483))) % 33.84/34.66 (step @p678 :rule alpha_equiv :args (@t486 (@list @t477 @t476) (@list @t1 @t487))) % 33.84/34.66 (step @p679 :rule nary_cong :premises (@p103 @p678) :args (@t488)) % 33.84/34.66 (step @p680 :rule quant-miniscope-or :args ((= @t485 @t488))) % 33.84/34.66 (step @p681 :rule trans :premises (@p680 @p679)) % 33.84/34.66 (step @p682 :rule symm :premises (@p681)) % 33.84/34.66 (step @p683 :rule cong :premises (@p682) :args ((forall @t9 (or @t135 @t493)))) % 33.84/34.66 (step @p684 :rule trans :premises (@p683 @p677)) % 33.84/34.66 (step @p685 :rule trans :premises (@p684 @p676)) % 33.84/34.66 (step @p686 :rule bool-impl-elim :args (@t17 @t493)) % 33.84/34.66 (step @p687 :rule cong :premises (@p686) :args ((forall @t9 (=> @t17 @t493)))) % 33.84/34.66 (step @p688 :rule trans :premises (@p687 @p685)) % 33.84/34.66 (step @p689 :rule aci_norm :args ((= @t495 @t491))) % 33.84/34.66 (step @p690 :rule cong :premises (@p689) :args (@t496)) % 33.84/34.66 (step @p691 :rule quant-merge-prenex :args ((= (forall @t7 @t498) @t496))) % 33.84/34.66 (step @p692 :rule alpha_equiv :args (@t499 (@list @t487) (@list @t12))) % 33.84/34.66 (step @p693 :rule nary_cong :premises (@p119 @p692) :args (@t500)) % 33.84/34.66 (step @p694 :rule quant-miniscope-or :args ((= @t498 @t500))) % 33.84/34.66 (step @p695 :rule trans :premises (@p694 @p693)) % 33.84/34.66 (step @p696 :rule symm :premises (@p695)) % 33.84/34.66 (step @p697 :rule cong :premises (@p696) :args ((forall @t7 (or @t149 @t501)))) % 33.84/34.66 (step @p698 :rule trans :premises (@p697 @p691)) % 33.84/34.66 (step @p699 :rule trans :premises (@p698 @p690)) % 33.84/34.66 (step @p700 :rule bool-impl-elim :args (@t21 @t501)) % 33.84/34.66 (step @p701 :rule cong :premises (@p700) :args ((forall @t7 (=> @t21 @t501)))) % 33.84/34.66 (step @p702 :rule trans :premises (@p701 @p699)) % 33.84/34.66 (step @p703 :rule bool-impl-elim :args (@t15 @t83)) % 33.84/34.66 (step @p704 :rule cong :premises (@p703) :args (@t84)) % 33.84/34.66 (step @p705 :rule cong :premises (@p173 @p704) :args (@t85)) % 33.84/34.66 (step @p706 :rule cong :premises (@p705) :args (@t86)) % 33.84/34.66 (step @p707 :rule trans :premises (@p706 @p702)) % 33.84/34.66 (step @p708 :rule cong :premises (@p177 @p707) :args (@t87)) % 33.84/34.66 (step @p709 :rule cong :premises (@p708) :args (@t88)) % 33.84/34.66 (step @p710 :rule trans :premises (@p709 @p688)) % 33.84/34.66 (step @p711 :rule eq_resolve :premises (@p82 @p710)) % 33.84/34.66 (step @p712 :rule instantiate :premises (@p711) :args ((@list @t206 @t204 @t205))) % 33.84/34.66 (step @p713 :rule cnf_or_pos :args (@t503)) % 33.84/34.66 (step @p714 :rule reordering :premises (@p713) :args ((or @t379 @t377 @t375 @t502 (not @t503)))) % 33.84/34.66 (step @p715 :rule chain_m_resolution :premises (@p714 @p520 @p494 @p569 @p712) :args (@t502 @t467 (@list @t378 @t376 @t374 @t503))) % 33.84/34.66 (step @p716 :rule trans :premises (@p715 @p674 @p664)) % 33.84/34.66 (step @p717 :rule cong :premises (@p716 @p500) :args (@t504)) % 33.84/34.66 (step @p718 :rule instantiate :premises (@p578) :args (@t208)) % 33.84/34.66 (step @p719 :rule bool-double-not-elim :args (@t384)) % 33.84/34.66 (step @p720 :rule nary_cong :premises (@p480 @p719) :args ((or @t389 (not @t385)))) % 33.84/34.66 (step @p721 :rule cnf_or_neg :args (@t389 2)) % 33.84/34.66 (step @p722 :rule eq_resolve :premises (@p721 @p720)) % 33.84/34.66 (step @p723 :rule reordering :premises (@p722) :args ((or @t384 @t389))) % 33.84/34.66 (step @p724 :rule chain_m_resolution :premises (@p723 @p478) :args (@t384 @t390 @t391)) % 33.84/34.66 (step @p725 :rule cnf_or_pos :args (@t506)) % 33.84/34.66 (step @p726 :rule reordering :premises (@p725) :args ((or @t386 @t385 @t398 @t505 (not @t506)))) % 33.84/34.66 (step @p727 :rule chain_m_resolution :premises (@p726 @p485 @p724 @p488 @p718) :args (@t505 @t467 (@list @t373 @t384 @t392 @t506))) % 33.84/34.66 (step @p728 :rule false_intro :premises (@p727)) % 33.84/34.66 (step @p729 :rule symm :premises (@p728)) % 33.84/34.66 (step @p730 :rule trans :premises (@p729 @p717 @p499)) % 33.84/34.66 (step @p731 false :rule eq_resolve :premises (@p730 @p98)) % 33.84/34.66 ) % 33.84/34.66 % SZS output end Proof % 33.84/34.66 % cvc5 exiting %------------------------------------------------------------------------------