%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:38 AM UTC 2026 % Result : Theorem 41.06s 42.02s % Output : Proof 41.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n001.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 18:03:29 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 41.06/42.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 41.06/42.02 --- Run --no-e-matching --full-saturate-quant at 6... % 41.06/42.02 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 41.06/42.02 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 41.06/42.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.06/42.02 % SZS status Theorem % 41.06/42.02 % SZS output start Proof % 41.06/42.02 ( % 41.06/42.02 (declare-sort $$unsorted 0) % 41.06/42.02 (declare-const tptp.p4 (-> $$unsorted Bool)) % 41.06/42.02 (declare-const tptp.p3 (-> $$unsorted Bool)) % 41.06/42.02 (declare-const tptp.p2 (-> $$unsorted Bool)) % 41.06/42.02 (declare-const tptp.p1 (-> $$unsorted Bool)) % 41.06/42.02 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 41.06/42.02 (define @t1 () (@var "X" $$unsorted)) % 41.06/42.02 (define @t2 () (@list @t1)) % 41.06/42.02 (define @t3 () (@var "Z" $$unsorted)) % 41.06/42.02 (define @t4 () (tptp.r1 @t1 @t3)) % 41.06/42.02 (define @t5 () (@var "Y" $$unsorted)) % 41.06/42.02 (define @t6 () (tptp.r1 @t5 @t3)) % 41.06/42.02 (define @t7 () (tptp.r1 @t1 @t5)) % 41.06/42.02 (define @t8 () (and @t7 @t6)) % 41.06/42.02 (define @t9 () (forall (@list @t1 @t5 @t3) (=> @t8 @t4))) % 41.06/42.02 (define @t10 () (tptp.p1 @t1)) % 41.06/42.02 (define @t11 () (not @t10)) % 41.06/42.02 (define @t12 () (not (tptp.r1 @t5 @t1))) % 41.06/42.02 (define @t13 () (forall @t2 (or @t12 @t11))) % 41.06/42.02 (define @t14 () (not @t13)) % 41.06/42.02 (define @t15 () (tptp.p1 @t5)) % 41.06/42.02 (define @t16 () (not @t7)) % 41.06/42.02 (define @t17 () (@list @t5)) % 41.06/42.02 (define @t18 () (forall @t2 (or @t12 (forall @t17 (or @t16 (not @t15)))))) % 41.06/42.02 (define @t19 () (or @t16 @t18 @t14)) % 41.06/42.02 (define @t20 () (forall @t17 @t19)) % 41.06/42.02 (define @t21 () (not @t20)) % 41.06/42.02 (define @t22 () (tptp.p2 @t5)) % 41.06/42.02 (define @t23 () (forall @t17 (or @t16 @t22))) % 41.06/42.02 (define @t24 () (not @t23)) % 41.06/42.02 (define @t25 () (or @t12 @t24)) % 41.06/42.02 (define @t26 () (forall @t2 @t25)) % 41.06/42.02 (define @t27 () (not @t26)) % 41.06/42.02 (define @t28 () (or @t16 @t27)) % 41.06/42.02 (define @t29 () (forall @t17 @t28)) % 41.06/42.02 (define @t30 () (forall @t2 (or @t12 @t10))) % 41.06/42.02 (define @t31 () (forall @t17 (or @t16 @t15))) % 41.06/42.02 (define @t32 () (not @t31)) % 41.06/42.02 (define @t33 () (or @t12 @t32)) % 41.06/42.02 (define @t34 () (forall @t2 @t33)) % 41.06/42.02 (define @t35 () (or @t16 @t34 @t30)) % 41.06/42.02 (define @t36 () (forall @t17 @t35)) % 41.06/42.02 (define @t37 () (or @t12 (not (and @t32 @t10)))) % 41.06/42.02 (define @t38 () (forall @t2 @t37)) % 41.06/42.02 (define @t39 () (not @t38)) % 41.06/42.02 (define @t40 () (or @t16 @t15 @t39)) % 41.06/42.02 (define @t41 () (forall @t17 @t40)) % 41.06/42.02 (define @t42 () (not @t30)) % 41.06/42.02 (define @t43 () (or @t16 @t42)) % 41.06/42.02 (define @t44 () (forall @t17 @t43)) % 41.06/42.02 (define @t45 () (not @t44)) % 41.06/42.02 (define @t46 () (and @t11 @t45 @t41)) % 41.06/42.02 (define @t47 () (not @t22)) % 41.06/42.02 (define @t48 () (forall @t17 (or @t16 @t47))) % 41.06/42.02 (define @t49 () (not @t48)) % 41.06/42.02 (define @t50 () (or @t12 @t49)) % 41.06/42.02 (define @t51 () (forall @t2 @t50)) % 41.06/42.02 (define @t52 () (not @t51)) % 41.06/42.02 (define @t53 () (or @t16 @t52)) % 41.06/42.02 (define @t54 () (forall @t17 @t53)) % 41.06/42.02 (define @t55 () (not @t54)) % 41.06/42.02 (define @t56 () (tptp.p2 @t1)) % 41.06/42.02 (define @t57 () (forall @t2 (or @t12 (tptp.p3 @t1)))) % 41.06/42.02 (define @t58 () (or @t16 (not (or @t57 @t47)))) % 41.06/42.02 (define @t59 () (forall @t17 @t58)) % 41.06/42.02 (define @t60 () (not @t59)) % 41.06/42.02 (define @t61 () (and @t60 @t56 @t55)) % 41.06/42.02 (define @t62 () (not @t61)) % 41.06/42.02 (define @t63 () (or @t12 @t62)) % 41.06/42.02 (define @t64 () (forall @t2 @t63)) % 41.06/42.02 (define @t65 () (not @t64)) % 41.06/42.02 (define @t66 () (forall @t17 (or @t16 @t57 @t47))) % 41.06/42.02 (define @t67 () (not @t66)) % 41.06/42.02 (define @t68 () (or @t12 @t67)) % 41.06/42.02 (define @t69 () (forall @t2 @t68)) % 41.06/42.02 (define @t70 () (not @t69)) % 41.06/42.02 (define @t71 () (or @t70 @t65)) % 41.06/42.02 (define @t72 () (not @t71)) % 41.06/42.02 (define @t73 () (or @t16 @t72)) % 41.06/42.02 (define @t74 () (forall @t17 @t73)) % 41.06/42.02 (define @t75 () (not @t74)) % 41.06/42.02 (define @t76 () (not (tptp.p4 @t5))) % 41.06/42.02 (define @t77 () (not (forall @t17 (or @t16 @t76)))) % 41.06/42.02 (define @t78 () (or @t77 @t75 @t46 @t36 @t29 @t21)) % 41.06/42.02 (define @t79 () (not @t78)) % 41.06/42.02 (define @t80 () (exists @t2 @t79)) % 41.06/42.02 (define @t81 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 41.06/42.02 (define @t82 () (tptp.p2 @t81)) % 41.06/42.02 (define @t83 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 41.06/42.02 (define @t84 () (@list @t81)) % 41.06/42.02 (define @t85 () (not (forall @t84 (or (not (tptp.r1 @t83 @t81)) @t82)))) % 41.06/42.02 (define @t86 () (@var "BOUND_VARIABLE_7891" $$unsorted)) % 41.06/42.02 (define @t87 () (@list @t83)) % 41.06/42.02 (define @t88 () (not (forall @t87 (or (not (tptp.r1 @t86 @t83)) @t85)))) % 41.06/42.02 (define @t89 () (not (tptp.r1 @t1 @t86))) % 41.06/42.02 (define @t90 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 41.06/42.02 (define @t91 () (tptp.p1 @t90)) % 41.06/42.02 (define @t92 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 41.06/42.02 (define @t93 () (not (tptp.r1 @t92 @t90))) % 41.06/42.02 (define @t94 () (@var "BOUND_VARIABLE_7717" $$unsorted)) % 41.06/42.02 (define @t95 () (tptp.p1 @t94)) % 41.06/42.02 (define @t96 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 41.06/42.02 (define @t97 () (@list @t94)) % 41.06/42.02 (define @t98 () (not (forall @t97 (or (not (tptp.r1 @t96 @t94)) @t95)))) % 41.06/42.02 (define @t99 () (not (tptp.r1 @t92 @t96))) % 41.06/42.02 (define @t100 () (not (tptp.r1 @t1 @t92))) % 41.06/42.02 (define @t101 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 41.06/42.02 (define @t102 () (not (tptp.p1 @t101))) % 41.06/42.02 (define @t103 () (@var "BOUND_VARIABLE_7779" $$unsorted)) % 41.06/42.02 (define @t104 () (not (tptp.r1 @t103 @t101))) % 41.06/42.02 (define @t105 () (not (tptp.r1 @t5 @t103))) % 41.06/42.02 (define @t106 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 41.06/42.02 (define @t107 () (not (forall (@list @t106) (or (not (tptp.r1 @t5 @t106)) (not (tptp.p1 @t106)))))) % 41.06/42.02 (define @t108 () (@list @t5 @t103 @t101)) % 41.06/42.02 (define @t109 () (not (forall @t108 (or @t16 @t107 @t105 @t104 @t102)))) % 41.06/42.02 (define @t110 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 41.06/42.02 (define @t111 () (tptp.p1 @t110)) % 41.06/42.02 (define @t112 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 41.06/42.02 (define @t113 () (not (tptp.r1 @t112 @t110))) % 41.06/42.02 (define @t114 () (not (tptp.p1 @t112))) % 41.06/42.02 (define @t115 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 41.06/42.02 (define @t116 () (@list @t112 @t110)) % 41.06/42.02 (define @t117 () (or (not (tptp.r1 @t1 @t115)) (tptp.p1 @t115) (not (forall @t116 (or (not (tptp.r1 @t115 @t112)) @t114 @t113 @t111))))) % 41.06/42.02 (define @t118 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 41.06/42.02 (define @t119 () (not (forall (@list @t118) (or (not (tptp.r1 @t5 @t118)) (tptp.p1 @t118))))) % 41.06/42.02 (define @t120 () (not (forall @t17 (or @t16 @t119)))) % 41.06/42.02 (define @t121 () (and @t11 @t120 @t117)) % 41.06/42.02 (define @t122 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 41.06/42.02 (define @t123 () (not (tptp.p2 @t122))) % 41.06/42.02 (define @t124 () (@var "BOUND_VARIABLE_7566" $$unsorted)) % 41.06/42.02 (define @t125 () (@list @t122)) % 41.06/42.02 (define @t126 () (not (forall @t125 (or (not (tptp.r1 @t124 @t122)) @t123)))) % 41.06/42.02 (define @t127 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 41.06/42.02 (define @t128 () (@list @t124)) % 41.06/42.02 (define @t129 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 41.06/42.02 (define @t130 () (@var "BOUND_VARIABLE_7669" $$unsorted)) % 41.06/42.02 (define @t131 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 41.06/42.02 (define @t132 () (tptp.p3 @t131)) % 41.06/42.02 (define @t133 () (@list @t131)) % 41.06/42.02 (define @t134 () (or (not (tptp.r1 @t5 @t129)) (not (tptp.p2 @t129)) (not (tptp.r1 @t129 @t130)) (and (not (forall @t133 (or (not (tptp.r1 @t130 @t131)) @t132))) (tptp.p2 @t130)) (not (tptp.r1 @t129 @t127)) (not (forall @t128 (or (not (tptp.r1 @t127 @t124)) @t126))))) % 41.06/42.02 (define @t135 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 41.06/42.02 (define @t136 () (tptp.p3 @t135)) % 41.06/42.02 (define @t137 () (@var "BOUND_VARIABLE_7635" $$unsorted)) % 41.06/42.02 (define @t138 () (not (tptp.r1 @t137 @t135))) % 41.06/42.02 (define @t139 () (not (tptp.p2 @t137))) % 41.06/42.02 (define @t140 () (@var "BOUND_VARIABLE_7657" $$unsorted)) % 41.06/42.02 (define @t141 () (@list @t137 @t135)) % 41.06/42.02 (define @t142 () (or (not (tptp.r1 @t5 @t140)) (not (forall @t141 (or (not (tptp.r1 @t140 @t137)) @t139 @t138 @t136))))) % 41.06/42.02 (define @t143 () (and @t142 @t134)) % 41.06/42.02 (define @t144 () (or @t16 @t143)) % 41.06/42.02 (define @t145 () (@list @t5 @t140 @t129 @t130 @t127)) % 41.06/42.02 (define @t146 () (forall @t145 @t144)) % 41.06/42.02 (define @t147 () (not @t146)) % 41.06/42.02 (define @t148 () (or @t77 @t147 @t121 @t109 @t100 @t99 @t98 @t93 @t91 @t89 @t88)) % 41.06/42.02 (define @t149 () (or @t89 @t88)) % 41.06/42.02 (define @t150 () (or @t100 @t99 @t98 @t93 @t91)) % 41.06/42.02 (define @t151 () (or @t77 @t147 @t121 @t150 @t149 @t109)) % 41.06/42.02 (define @t152 () (@list @t1 @t115 @t92 @t96 @t90 @t86)) % 41.06/42.02 (define @t153 () (forall @t152 @t151)) % 41.06/42.02 (define @t154 () (forall (@list @t115 @t92 @t96 @t90 @t86) @t151)) % 41.06/42.02 (define @t155 () (forall (@list @t86) @t149)) % 41.06/42.02 (define @t156 () (@list @t5)) % 41.06/42.02 (define @t157 () (forall (@list @t92 @t96 @t90) @t150)) % 41.06/42.02 (define @t158 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 41.06/42.02 (define @t159 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 41.06/42.02 (define @t160 () (@list @t115)) % 41.06/42.02 (define @t161 () (forall @t160 @t117)) % 41.06/42.02 (define @t162 () (forall @t160 @t120)) % 41.06/42.02 (define @t163 () (forall @t160 @t11)) % 41.06/42.02 (define @t164 () (and @t163 @t162 @t161)) % 41.06/42.02 (define @t165 () (forall @t160 @t121)) % 41.06/42.02 (define @t166 () (or @t77 @t147 @t165 @t157 @t155 @t109)) % 41.06/42.02 (define @t167 () (tptp.p1 @t158)) % 41.06/42.02 (define @t168 () (not (tptp.r1 @t5 @t158))) % 41.06/42.02 (define @t169 () (not (forall @t97 (or (not (tptp.r1 @t159 @t94)) @t95)))) % 41.06/42.02 (define @t170 () (not (tptp.r1 @t5 @t159))) % 41.06/42.02 (define @t171 () (or @t16 @t170 @t169 @t168 @t167)) % 41.06/42.02 (define @t172 () (@list @t5 @t159 @t158)) % 41.06/42.02 (define @t173 () (forall @t172 @t171)) % 41.06/42.02 (define @t174 () (@list @t1)) % 41.06/42.02 (define @t175 () (or @t16 @t14 @t105 @t104 @t102)) % 41.06/42.02 (define @t176 () (forall @t108 @t175)) % 41.06/42.02 (define @t177 () (not @t176)) % 41.06/42.02 (define @t178 () (forall @t2 (or @t12 (not (forall @t84 (or (not (tptp.r1 @t1 @t81)) @t82)))))) % 41.06/42.02 (define @t179 () (not @t178)) % 41.06/42.02 (define @t180 () (or @t16 @t179)) % 41.06/42.02 (define @t181 () (forall @t17 @t180)) % 41.06/42.02 (define @t182 () (not (tptp.r1 @t1 @t110))) % 41.06/42.02 (define @t183 () (or @t12 @t11 @t182 @t111)) % 41.06/42.02 (define @t184 () (@list @t1 @t110)) % 41.06/42.02 (define @t185 () (forall @t184 @t183)) % 41.06/42.02 (define @t186 () (not @t185)) % 41.06/42.02 (define @t187 () (or @t16 @t15 @t186)) % 41.06/42.02 (define @t188 () (forall @t17 @t187)) % 41.06/42.02 (define @t189 () (and @t11 @t45 @t188)) % 41.06/42.02 (define @t190 () (or @t77 @t147 @t189 @t173 @t181 @t177)) % 41.06/42.02 (define @t191 () (not @t190)) % 41.06/42.02 (define @t192 () (forall @t2 (not @t191))) % 41.06/42.02 (define @t193 () (not @t192)) % 41.06/42.02 (define @t194 () (or @t105 @t104 @t102)) % 41.06/42.02 (define @t195 () (or @t16 @t194 @t14)) % 41.06/42.02 (define @t196 () (forall @t108 @t195)) % 41.06/42.02 (define @t197 () (@list @t103 @t101)) % 41.06/42.02 (define @t198 () (forall @t197 @t195)) % 41.06/42.02 (define @t199 () (forall @t197 @t194)) % 41.06/42.02 (define @t200 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 41.06/42.02 (define @t201 () (or @t16 @t199 @t14)) % 41.06/42.02 (define @t202 () (not (tptp.p1 @t200))) % 41.06/42.02 (define @t203 () (not (tptp.r1 @t1 @t200))) % 41.06/42.02 (define @t204 () (or @t12 @t203 @t202)) % 41.06/42.02 (define @t205 () (@list @t1 @t200)) % 41.06/42.02 (define @t206 () (or @t203 @t202)) % 41.06/42.02 (define @t207 () (or @t12 @t206)) % 41.06/42.02 (define @t208 () (forall @t205 @t207)) % 41.06/42.02 (define @t209 () (@list @t200)) % 41.06/42.02 (define @t210 () (forall @t209 @t207)) % 41.06/42.02 (define @t211 () (forall @t209 @t206)) % 41.06/42.02 (define @t212 () (or @t12 @t211)) % 41.06/42.02 (define @t213 () (or @t168 @t167)) % 41.06/42.02 (define @t214 () (or @t170 @t169)) % 41.06/42.02 (define @t215 () (or @t16 @t214 @t213)) % 41.06/42.02 (define @t216 () (forall @t172 @t215)) % 41.06/42.02 (define @t217 () (forall (@list @t159 @t158) @t215)) % 41.06/42.02 (define @t218 () (forall (@list @t158) @t213)) % 41.06/42.02 (define @t219 () (forall (@list @t159) @t214)) % 41.06/42.02 (define @t220 () (or @t16 @t219 @t218)) % 41.06/42.02 (define @t221 () (or @t182 @t111)) % 41.06/42.02 (define @t222 () (or @t12 @t221 @t11)) % 41.06/42.02 (define @t223 () (forall @t184 @t222)) % 41.06/42.02 (define @t224 () (@list @t110)) % 41.06/42.02 (define @t225 () (forall @t224 @t222)) % 41.06/42.02 (define @t226 () (forall @t224 @t221)) % 41.06/42.02 (define @t227 () (or @t12 @t226 @t11)) % 41.06/42.02 (define @t228 () (or @t12 @t31 @t11)) % 41.06/42.02 (define @t229 () (@list @t140 @t129 @t130 @t127)) % 41.06/42.02 (define @t230 () (forall @t229 @t144)) % 41.06/42.02 (define @t231 () (forall (@list @t129 @t130 @t127) @t134)) % 41.06/42.02 (define @t232 () (@var "BOUND_VARIABLE_7615" $$unsorted)) % 41.06/42.02 (define @t233 () (@var "BOUND_VARIABLE_7603" $$unsorted)) % 41.06/42.02 (define @t234 () (forall @t229 @t134)) % 41.06/42.02 (define @t235 () (forall (@list @t140) @t142)) % 41.06/42.02 (define @t236 () (forall @t229 @t142)) % 41.06/42.02 (define @t237 () (and @t236 @t234)) % 41.06/42.02 (define @t238 () (forall @t229 @t143)) % 41.06/42.02 (define @t239 () (or @t16 @t238)) % 41.06/42.02 (define @t240 () (not (forall @t128 (or (not (tptp.r1 @t232 @t124)) @t126)))) % 41.06/42.02 (define @t241 () (not (tptp.r1 @t1 @t232))) % 41.06/42.02 (define @t242 () (and (not (forall @t133 (or (not (tptp.r1 @t233 @t131)) @t132))) (tptp.p2 @t233))) % 41.06/42.02 (define @t243 () (not (tptp.r1 @t1 @t233))) % 41.06/42.02 (define @t244 () (not @t56)) % 41.06/42.02 (define @t245 () (or @t12 @t244 @t243 @t242 @t241 @t240)) % 41.06/42.02 (define @t246 () (@list @t1 @t233 @t232)) % 41.06/42.02 (define @t247 () (forall @t246 @t245)) % 41.06/42.02 (define @t248 () (forall @t2 (or @t12 (not (forall @t141 (or (not (tptp.r1 @t1 @t137)) @t139 @t138 @t136)))))) % 41.06/42.02 (define @t249 () (not @t247)) % 41.06/42.02 (define @t250 () (not @t248)) % 41.06/42.02 (define @t251 () (or @t16 (not (or @t250 @t249)))) % 41.06/42.02 (define @t252 () (not (tptp.r1 @t5 @t135))) % 41.06/42.02 (define @t253 () (or @t16 @t47 @t252 @t136)) % 41.06/42.02 (define @t254 () (@list @t5 @t135)) % 41.06/42.02 (define @t255 () (forall @t254 @t253)) % 41.06/42.02 (define @t256 () (not @t255)) % 41.06/42.02 (define @t257 () (or @t12 @t256)) % 41.06/42.02 (define @t258 () (forall @t2 @t257)) % 41.06/42.02 (define @t259 () (not @t258)) % 41.06/42.02 (define @t260 () (or @t259 @t249)) % 41.06/42.02 (define @t261 () (not @t260)) % 41.06/42.02 (define @t262 () (or @t16 @t261)) % 41.06/42.02 (define @t263 () (or @t241 @t240)) % 41.06/42.02 (define @t264 () (or @t243 @t242)) % 41.06/42.02 (define @t265 () (or @t12 @t264 @t244 @t263)) % 41.06/42.02 (define @t266 () (forall @t246 @t265)) % 41.06/42.02 (define @t267 () (forall (@list @t233 @t232) @t265)) % 41.06/42.02 (define @t268 () (forall (@list @t232) @t263)) % 41.06/42.02 (define @t269 () (forall (@list @t233) @t264)) % 41.06/42.02 (define @t270 () (or @t12 @t269 @t244 @t268)) % 41.06/42.02 (define @t271 () (forall @t17 (or @t16 (not (forall @t128 (or (not (tptp.r1 @t5 @t124)) @t126)))))) % 41.06/42.02 (define @t272 () (forall @t17 (or @t16 (and (not (forall @t133 (or (not (tptp.r1 @t5 @t131)) @t132))) @t22)))) % 41.06/42.02 (define @t273 () (or @t12 @t272 @t244 @t271)) % 41.06/42.02 (define @t274 () (not @t271)) % 41.06/42.02 (define @t275 () (not @t274)) % 41.06/42.02 (define @t276 () (not @t272)) % 41.06/42.02 (define @t277 () (not @t276)) % 41.06/42.02 (define @t278 () (or @t277 @t244 @t275)) % 41.06/42.02 (define @t279 () (or @t12 (not (and @t276 @t56 @t274)))) % 41.06/42.02 (define @t280 () (forall @t2 (or @t12 (not (forall @t125 (or (not (tptp.r1 @t1 @t122)) @t123)))))) % 41.06/42.02 (define @t281 () (not @t280)) % 41.06/42.02 (define @t282 () (or @t16 @t281)) % 41.06/42.02 (define @t283 () (forall @t17 @t282)) % 41.06/42.02 (define @t284 () (not @t283)) % 41.06/42.02 (define @t285 () (not @t57)) % 41.06/42.02 (define @t286 () (and @t285 @t22)) % 41.06/42.02 (define @t287 () (or @t16 @t286)) % 41.06/42.02 (define @t288 () (forall @t17 @t287)) % 41.06/42.02 (define @t289 () (not @t288)) % 41.06/42.02 (define @t290 () (and @t289 @t56 @t284)) % 41.06/42.02 (define @t291 () (not @t290)) % 41.06/42.02 (define @t292 () (or @t12 @t291)) % 41.06/42.02 (define @t293 () (or @t252 @t136)) % 41.06/42.02 (define @t294 () (or @t16 @t293 @t47)) % 41.06/42.02 (define @t295 () (forall @t254 @t294)) % 41.06/42.02 (define @t296 () (@list @t135)) % 41.06/42.02 (define @t297 () (forall @t296 @t294)) % 41.06/42.02 (define @t298 () (forall @t296 @t293)) % 41.06/42.02 (define @t299 () (or @t16 @t298 @t47)) % 41.06/42.02 (define @t300 () (forall @t152 @t148)) % 41.06/42.02 (define @t301 () (@quantifiers_skolemize @t300 0)) % 41.06/42.02 (define @t302 () (not (tptp.r1 @t301 @t5))) % 41.06/42.02 (define @t303 () (forall @t145 (or @t302 @t143))) % 41.06/42.02 (define @t304 () (@quantifiers_skolemize @t300 5)) % 41.06/42.02 (define @t305 () (forall @t87 (or (not (tptp.r1 @t304 @t83)) @t85))) % 41.06/42.02 (define @t306 () (not @t305)) % 41.06/42.02 (define @t307 () (tptp.r1 @t301 @t304)) % 41.06/42.02 (define @t308 () (not @t307)) % 41.06/42.02 (define @t309 () (@quantifiers_skolemize @t300 4)) % 41.06/42.02 (define @t310 () (@quantifiers_skolemize @t300 2)) % 41.06/42.02 (define @t311 () (@quantifiers_skolemize @t300 3)) % 41.06/42.02 (define @t312 () (@quantifiers_skolemize @t300 1)) % 41.06/42.02 (define @t313 () (not @t303)) % 41.06/42.02 (define @t314 () (or (not (forall @t17 (or @t302 @t76))) @t313 (and (not (tptp.p1 @t301)) (not (forall @t17 (or @t302 @t119))) (or (not (tptp.r1 @t301 @t312)) (tptp.p1 @t312) (not (forall @t116 (or (not (tptp.r1 @t312 @t112)) @t114 @t113 @t111))))) (not (forall @t108 (or @t302 @t107 @t105 @t104 @t102))) (not (tptp.r1 @t301 @t310)) (not (tptp.r1 @t310 @t311)) (not (forall @t97 (or (not (tptp.r1 @t311 @t94)) @t95))) (not (tptp.r1 @t310 @t309)) (tptp.p1 @t309) @t308 @t306)) % 41.06/42.02 (define @t315 () (@list true)) % 41.06/42.02 (define @t316 () (@list @t314)) % 41.06/42.02 (define @t317 () (forall @t141 (or (not (tptp.r1 @t304 @t137)) @t139 @t138 @t136))) % 41.06/42.02 (define @t318 () (@quantifiers_skolemize @t317 0)) % 41.06/42.02 (define @t319 () (forall @t84 (or (not (tptp.r1 @t318 @t81)) @t82))) % 41.06/42.02 (define @t320 () (@quantifiers_skolemize @t319 0)) % 41.06/42.02 (define @t321 () (not @t6)) % 41.06/42.02 (define @t322 () (tptp.r1 @t301 @t301)) % 41.06/42.02 (define @t323 () (not @t322)) % 41.06/42.02 (define @t324 () (not @t317)) % 41.06/42.02 (define @t325 () (or @t308 @t324)) % 41.06/42.02 (define @t326 () (and @t325 (or @t323 (not (tptp.p2 @t301)) @t308 (and (not (forall @t133 (or (not (tptp.r1 @t304 @t131)) @t132))) (tptp.p2 @t304)) @t308 (not (forall @t128 (or (not (tptp.r1 @t304 @t124)) @t126)))))) % 41.06/42.02 (define @t327 () (or @t323 @t326)) % 41.06/42.02 (define @t328 () (@list false false)) % 41.06/42.02 (define @t329 () (@list false)) % 41.06/42.02 (define @t330 () (tptp.r1 @t304 @t318)) % 41.06/42.02 (define @t331 () (@quantifiers_skolemize @t317 1)) % 41.06/42.02 (define @t332 () (tptp.p2 @t318)) % 41.06/42.02 (define @t333 () (not @t332)) % 41.06/42.02 (define @t334 () (not @t330)) % 41.06/42.02 (define @t335 () (or @t334 @t333 (not (tptp.r1 @t318 @t331)) (tptp.p3 @t331))) % 41.06/42.02 (define @t336 () (@list @t335)) % 41.06/42.02 (define @t337 () (tptp.r1 @t301 @t318)) % 41.06/42.02 (define @t338 () (or @t308 @t334 @t337)) % 41.06/42.02 (define @t339 () (@list false false false)) % 41.06/42.02 (define @t340 () (forall @t128 (or (not (tptp.r1 @t320 @t124)) @t126))) % 41.06/42.02 (define @t341 () (not @t340)) % 41.06/42.02 (define @t342 () (tptp.r1 @t318 @t320)) % 41.06/42.02 (define @t343 () (not @t342)) % 41.06/42.02 (define @t344 () (tptp.p2 @t320)) % 41.06/42.02 (define @t345 () (and (not (forall @t133 (or (not (tptp.r1 @t320 @t131)) @t132))) @t344)) % 41.06/42.02 (define @t346 () (tptp.r1 @t318 @t318)) % 41.06/42.02 (define @t347 () (not @t346)) % 41.06/42.02 (define @t348 () (or @t347 @t333 @t343 @t345 @t343 @t341)) % 41.06/42.02 (define @t349 () (and (or @t343 (not (forall @t141 (or (not (tptp.r1 @t320 @t137)) @t139 @t138 @t136)))) @t348)) % 41.06/42.02 (define @t350 () (not @t337)) % 41.06/42.02 (define @t351 () (or @t350 @t349)) % 41.06/42.02 (define @t352 () (@list @t318)) % 41.06/42.02 (define @t353 () (not @t319)) % 41.06/42.02 (define @t354 () (or @t334 @t353)) % 41.06/42.02 (define @t355 () (or @t343 @t344)) % 41.06/42.02 (define @t356 () (not @t344)) % 41.06/42.02 (define @t357 () (@list @t355)) % 41.06/42.02 (define @t358 () (not @t345)) % 41.06/42.02 (define @t359 () (@quantifiers_skolemize @t340 0)) % 41.06/42.02 (define @t360 () (forall @t125 (or (not (tptp.r1 @t359 @t122)) @t123))) % 41.06/42.02 (define @t361 () (not @t360)) % 41.06/42.02 (define @t362 () (tptp.r1 @t320 @t359)) % 41.06/42.02 (define @t363 () (not @t362)) % 41.06/42.02 (define @t364 () (or @t363 @t361)) % 41.06/42.02 (define @t365 () (@list @t364)) % 41.06/42.02 (define @t366 () (tptp.r1 @t301 @t320)) % 41.06/42.02 (define @t367 () (or @t350 @t343 @t366)) % 41.06/42.02 (define @t368 () (forall @t141 (or (not (tptp.r1 @t359 @t137)) @t139 @t138 @t136))) % 41.06/42.02 (define @t369 () (not @t368)) % 41.06/42.02 (define @t370 () (or @t363 @t369)) % 41.06/42.02 (define @t371 () (and @t370 (or (not (tptp.r1 @t320 @t320)) @t356 @t363 (and (not (forall @t133 (or (not (tptp.r1 @t359 @t131)) @t132))) (tptp.p2 @t359)) @t363 (not (forall @t128 (or (not (tptp.r1 @t359 @t124)) @t126)))))) % 41.06/42.02 (define @t372 () (not @t366)) % 41.06/42.02 (define @t373 () (or @t372 @t371)) % 41.06/42.02 (define @t374 () (@quantifiers_skolemize @t368 0)) % 41.06/42.02 (define @t375 () (tptp.p2 @t374)) % 41.06/42.02 (define @t376 () (@quantifiers_skolemize @t368 1)) % 41.06/42.02 (define @t377 () (not @t375)) % 41.06/42.02 (define @t378 () (tptp.r1 @t359 @t374)) % 41.06/42.02 (define @t379 () (not @t378)) % 41.06/42.02 (define @t380 () (or @t379 @t377 (not (tptp.r1 @t374 @t376)) (tptp.p3 @t376))) % 41.06/42.02 (define @t381 () (@list @t380)) % 41.06/42.02 (define @t382 () (or @t379 @t377)) % 41.06/42.02 (define @t383 () (not @t382)) % 41.06/42.02 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 41.06/42.02 (assume @p2 @t9) % 41.06/42.02 (assume @p3 (not (not @t80))) % 41.06/42.02 (assume @p4 true) % 41.06/42.02 (step @p5 :rule aci_norm :args ((= @t151 @t148))) % 41.06/42.02 (step @p6 :rule cong :premises (@p5) :args (@t153)) % 41.06/42.02 (step @p7 :rule quant-merge-prenex :args ((= (forall @t2 @t154) @t153))) % 41.06/42.02 (step @p8 :rule refl :args (@t109)) % 41.06/42.02 (step @p9 :rule alpha_equiv :args (@t155 (@list @t86) @t156)) % 41.06/42.02 (step @p10 :rule alpha_equiv :args (@t157 (@list @t92 @t96 @t90) (@list @t5 @t159 @t158))) % 41.06/42.02 (step @p11 :rule alpha_equiv :args (@t161 (@list @t115) @t156)) % 41.06/42.02 (step @p12 :rule quant-unused-vars :args ((= @t162 @t120))) % 41.06/42.02 (step @p13 :rule quant-unused-vars :args ((= @t163 @t11))) % 41.06/42.02 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11) :args (@t164)) % 41.06/42.02 (step @p15 :rule quant-miniscope-and :args ((= @t165 @t164))) % 41.06/42.02 (step @p16 :rule trans :premises (@p15 @p14)) % 41.06/42.02 (step @p17 :rule refl :args (@t147)) % 41.06/42.02 (step @p18 :rule refl :args (@t77)) % 41.06/42.02 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p10 @p9 @p8) :args (@t166)) % 41.06/42.02 (step @p20 :rule quant-miniscope-or :args ((= @t154 @t166))) % 41.06/42.02 (step @p21 :rule trans :premises (@p20 @p19)) % 41.06/42.02 (step @p22 :rule symm :premises (@p21)) % 41.06/42.02 (step @p23 :rule cong :premises (@p22) :args ((forall @t2 (or @t77 @t147 (and @t11 @t120 (forall @t17 (or @t16 @t15 (not (forall @t116 (or (not (tptp.r1 @t5 @t112)) @t114 @t113 @t111)))))) @t173 (forall @t17 (or @t16 (not (forall @t87 (or (not (tptp.r1 @t5 @t83)) @t85))))) @t109)))) % 41.06/42.02 (step @p24 :rule trans :premises (@p23 @p7)) % 41.06/42.02 (step @p25 :rule trans :premises (@p24 @p6)) % 41.06/42.02 (step @p26 :rule refl :args (@t102)) % 41.06/42.02 (step @p27 :rule refl :args (@t104)) % 41.06/42.02 (step @p28 :rule refl :args (@t105)) % 41.06/42.02 (step @p29 :rule alpha_equiv :args (@t13 @t174 (@list @t106))) % 41.06/42.02 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 41.06/42.02 (step @p31 :rule refl :args (@t16)) % 41.06/42.02 (step @p32 :rule nary_cong :premises (@p31 @p30 @p28 @p27 @p26) :args (@t175)) % 41.06/42.02 (step @p33 :rule cong :premises (@p32) :args (@t176)) % 41.06/42.02 (step @p34 :rule cong :premises (@p33) :args (@t177)) % 41.06/42.02 (step @p35 :rule alpha_equiv :args (@t178 @t174 (@list @t83))) % 41.06/42.02 (step @p36 :rule cong :premises (@p35) :args (@t179)) % 41.06/42.02 (step @p37 :rule nary_cong :premises (@p31 @p36) :args (@t180)) % 41.06/42.02 (step @p38 :rule cong :premises (@p37) :args (@t181)) % 41.06/42.02 (step @p39 :rule refl :args (@t173)) % 41.06/42.02 (step @p40 :rule alpha_equiv :args (@t185 @t174 (@list @t112))) % 41.06/42.02 (step @p41 :rule cong :premises (@p40) :args (@t186)) % 41.06/42.02 (step @p42 :rule refl :args (@t15)) % 41.06/42.02 (step @p43 :rule nary_cong :premises (@p31 @p42 @p41) :args (@t187)) % 41.06/42.02 (step @p44 :rule cong :premises (@p43) :args (@t188)) % 41.06/42.02 (step @p45 :rule alpha_equiv :args (@t30 @t174 (@list @t118))) % 41.06/42.02 (step @p46 :rule cong :premises (@p45) :args (@t42)) % 41.06/42.02 (step @p47 :rule nary_cong :premises (@p31 @p46) :args (@t43)) % 41.06/42.02 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 41.06/42.02 (step @p49 :rule cong :premises (@p48) :args (@t45)) % 41.06/42.02 (step @p50 :rule refl :args (@t11)) % 41.06/42.02 (step @p51 :rule nary_cong :premises (@p50 @p49 @p44) :args (@t189)) % 41.06/42.02 (step @p52 :rule nary_cong :premises (@p18 @p17 @p51 @p39 @p38 @p34) :args (@t190)) % 41.06/42.02 (step @p53 :rule cong :premises (@p52) :args ((forall @t2 @t190))) % 41.06/42.02 (step @p54 :rule trans :premises (@p53 @p25)) % 41.06/42.02 (step @p55 :rule bool-double-not-elim :args (@t190)) % 41.06/42.02 (step @p56 :rule cong :premises (@p55) :args (@t192)) % 41.06/42.02 (step @p57 :rule trans :premises (@p56 @p54)) % 41.06/42.02 (step @p58 :rule cong :premises (@p57) :args (@t193)) % 41.06/42.02 (step @p59 :rule exists-elim :args ((= (exists @t2 @t191) @t193))) % 41.06/42.02 (step @p60 :rule trans :premises (@p59 @p58)) % 41.06/42.02 (step @p61 :rule aci_norm :args ((= @t195 @t175))) % 41.06/42.02 (step @p62 :rule cong :premises (@p61) :args (@t196)) % 41.06/42.02 (step @p63 :rule quant-merge-prenex :args ((= (forall @t17 @t198) @t196))) % 41.06/42.02 (step @p64 :rule refl :args (@t14)) % 41.06/42.02 (step @p65 :rule alpha_equiv :args (@t199 (@list @t103 @t101) (@list @t1 @t200))) % 41.06/42.02 (step @p66 :rule nary_cong :premises (@p31 @p65 @p64) :args (@t201)) % 41.06/42.02 (step @p67 :rule quant-miniscope-or :args ((= @t198 @t201))) % 41.06/42.02 (step @p68 :rule trans :premises (@p67 @p66)) % 41.06/42.02 (step @p69 :rule symm :premises (@p68)) % 41.06/42.02 (step @p70 :rule cong :premises (@p69) :args ((forall @t17 (or @t16 (forall @t205 @t204) @t14)))) % 41.06/42.02 (step @p71 :rule trans :premises (@p70 @p63)) % 41.06/42.02 (step @p72 :rule trans :premises (@p71 @p62)) % 41.06/42.02 (step @p73 :rule refl :args (@t14)) % 41.06/42.02 (step @p74 :rule aci_norm :args ((= @t207 @t204))) % 41.06/42.02 (step @p75 :rule cong :premises (@p74) :args (@t208)) % 41.06/42.02 (step @p76 :rule quant-merge-prenex :args ((= (forall @t2 @t210) @t208))) % 41.06/42.02 (step @p77 :rule alpha_equiv :args (@t211 (@list @t200) @t156)) % 41.06/42.02 (step @p78 :rule refl :args (@t12)) % 41.06/42.02 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t212)) % 41.06/42.02 (step @p80 :rule quant-miniscope-or :args ((= @t210 @t212))) % 41.06/42.02 (step @p81 :rule trans :premises (@p80 @p79)) % 41.06/42.02 (step @p82 :rule symm :premises (@p81)) % 41.06/42.02 (step @p83 :rule cong :premises (@p82) :args (@t18)) % 41.06/42.02 (step @p84 :rule trans :premises (@p83 @p76)) % 41.06/42.02 (step @p85 :rule trans :premises (@p84 @p75)) % 41.06/42.02 (step @p86 :rule refl :args (@t16)) % 41.06/42.02 (step @p87 :rule nary_cong :premises (@p86 @p85 @p73) :args (@t19)) % 41.06/42.02 (step @p88 :rule cong :premises (@p87) :args (@t20)) % 41.06/42.02 (step @p89 :rule trans :premises (@p88 @p72)) % 41.06/42.02 (step @p90 :rule cong :premises (@p89) :args (@t21)) % 41.06/42.02 (step @p91 :rule alpha_equiv :args (@t23 @t156 (@list @t81))) % 41.06/42.02 (step @p92 :rule cong :premises (@p91) :args (@t24)) % 41.06/42.02 (step @p93 :rule nary_cong :premises (@p78 @p92) :args (@t25)) % 41.06/42.02 (step @p94 :rule cong :premises (@p93) :args (@t26)) % 41.06/42.02 (step @p95 :rule 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@t303 @t314))) % 41.06/42.02 (step @p288 :rule chain_m_resolution :premises (@p287 @p281) :args (@t303 @t315 @t316)) % 41.06/42.02 (step @p289 :rule instantiate :premises (@p288) :args ((@list @t318 @t320 @t318 @t320 @t320))) % 41.06/42.02 (step @p290 :rule aci_norm :args ((= (or (or @t16 @t321) @t4) (or @t16 @t321 @t4)))) % 41.06/42.02 (step @p291 :rule refl :args (@t4)) % 41.06/42.02 (step @p292 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 41.06/42.02 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or (not @t8) @t4))) % 41.06/42.02 (step @p294 :rule trans :premises (@p293 @p290)) % 41.06/42.02 (step @p295 :rule bool-impl-elim :args (@t8 @t4)) % 41.06/42.02 (step @p296 :rule trans :premises (@p295 @p294)) % 41.06/42.02 (step @p297 :rule cong :premises (@p296) :args (@t9)) % 41.06/42.02 (step @p298 :rule eq_resolve :premises (@p2 @p297)) % 41.06/42.02 (step @p299 :rule instantiate :premises (@p298) :args ((@list @t301 @t304 @t318))) % 41.06/42.02 (step @p300 :rule instantiate :premises (@p288) :args ((@list @t301 @t304 @t301 @t304 @t304))) % 41.06/42.02 (step @p301 :rule instantiate :premises (@p1) :args ((@list @t301))) % 41.06/42.02 (step @p302 :rule cnf_or_pos :args (@t327)) % 41.06/42.02 (step @p303 :rule reordering :premises (@p302) :args ((or @t323 @t326 (not @t327)))) % 41.06/42.02 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p300) :args (@t326 @t328 (@list @t322 @t327))) % 41.06/42.02 (step @p305 :rule cnf_and_pos :args (@t326 0)) % 41.06/42.02 (step @p306 :rule reordering :premises (@p305) :args ((or @t325 (not @t326)))) % 41.06/42.02 (step @p307 :rule chain_m_resolution :premises (@p306 @p304) :args (@t325 @t329 (@list @t326))) % 41.06/42.02 (step @p308 :rule bool-double-not-elim :args (@t307)) % 41.06/42.02 (step @p309 :rule nary_cong :premises (@p283 @p308) :args ((or @t314 (not @t308)))) % 41.06/42.02 (step @p310 :rule cnf_or_neg :args (@t314 9)) % 41.06/42.02 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 41.06/42.02 (step @p312 :rule reordering :premises (@p311) :args ((or @t307 @t314))) % 41.06/42.02 (step @p313 :rule chain_m_resolution :premises (@p312 @p281) :args (@t307 @t315 @t316)) % 41.06/42.02 (step @p314 :rule cnf_or_pos :args (@t325)) % 41.06/42.02 (step @p315 :rule reordering :premises (@p314) :args ((or @t308 @t324 (not @t325)))) % 41.06/42.02 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p307) :args (@t324 @t328 (@list @t307 @t325))) % 41.06/42.02 (step @p317 :rule skolemize :premises (@p316)) % 41.06/42.02 (step @p318 :rule bool-double-not-elim :args (@t330)) % 41.06/42.02 (step @p319 :rule refl :args (@t335)) % 41.06/42.02 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t335 (not @t334)))) % 41.06/42.02 (step @p321 :rule cnf_or_neg :args (@t335 0)) % 41.06/42.02 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 41.06/42.02 (step @p323 :rule reordering :premises (@p322) :args ((or @t330 @t335))) % 41.06/42.02 (step @p324 :rule chain_m_resolution :premises (@p323 @p317) :args (@t330 @t315 @t336)) % 41.06/42.02 (step @p325 :rule cnf_or_pos :args (@t338)) % 41.06/42.02 (step @p326 :rule reordering :premises (@p325) :args ((or @t308 @t334 @t337 (not @t338)))) % 41.06/42.02 (step @p327 :rule chain_m_resolution :premises (@p326 @p313 @p324 @p299) :args (@t337 @t339 (@list @t307 @t330 @t338))) % 41.06/42.02 (step @p328 :rule cnf_or_pos :args (@t351)) % 41.06/42.02 (step @p329 :rule reordering :premises (@p328) :args ((or @t350 @t349 (not @t351)))) % 41.06/42.02 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p289) :args (@t349 @t328 (@list @t337 @t351))) % 41.06/42.02 (step @p331 :rule cnf_and_pos :args (@t349 1)) % 41.06/42.02 (step @p332 :rule reordering :premises (@p331) :args ((or @t348 (not @t349)))) % 41.06/42.02 (step @p333 :rule chain_m_resolution :premises (@p332 @p330) :args (@t348 @t329 (@list @t349))) % 41.06/42.02 (step @p334 :rule bool-double-not-elim :args (@t305)) % 41.06/42.02 (step @p335 :rule nary_cong :premises (@p283 @p334) :args ((or @t314 (not @t306)))) % 41.06/42.02 (step @p336 :rule cnf_or_neg :args (@t314 10)) % 41.06/42.02 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 41.06/42.02 (step @p338 :rule reordering :premises (@p337) :args ((or @t305 @t314))) % 41.06/42.02 (step @p339 :rule chain_m_resolution :premises (@p338 @p281) :args (@t305 @t315 @t316)) % 41.06/42.02 (step @p340 :rule instantiate :premises (@p339) :args (@t352)) % 41.06/42.02 (step @p341 :rule cnf_or_pos :args (@t354)) % 41.06/42.02 (step @p342 :rule reordering :premises (@p341) :args ((or @t334 @t353 (not @t354)))) % 41.06/42.02 (step @p343 :rule chain_m_resolution :premises (@p342 @p324 @p340) :args (@t353 @t328 (@list @t330 @t354))) % 41.06/42.02 (step @p344 :rule skolemize :premises (@p343)) % 41.06/42.02 (step @p345 :rule cnf_or_neg :args (@t355 1)) % 41.06/42.02 (step @p346 :rule chain_m_resolution :premises (@p345 @p344) :args (@t356 @t315 @t357)) % 41.06/42.02 (step @p347 :rule cnf_and_pos :args (@t345 1)) % 41.06/42.02 (step @p348 :rule reordering :premises (@p347) :args ((or @t344 @t358))) % 41.06/42.02 (step @p349 :rule chain_m_resolution :premises (@p348 @p346) :args (@t358 @t315 (@list @t344))) % 41.06/42.02 (step @p350 :rule bool-double-not-elim :args (@t342)) % 41.06/42.02 (step @p351 :rule refl :args (@t355)) % 41.06/42.02 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t355 (not @t343)))) % 41.06/42.02 (step @p353 :rule cnf_or_neg :args (@t355 0)) % 41.06/42.02 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 41.06/42.02 (step @p355 :rule reordering :premises (@p354) :args ((or @t342 @t355))) % 41.06/42.02 (step @p356 :rule chain_m_resolution :premises (@p355 @p344) :args (@t342 @t315 @t357)) % 41.06/42.02 (step @p357 :rule instantiate :premises (@p1) :args (@t352)) % 41.06/42.02 (step @p358 :rule bool-double-not-elim :args (@t332)) % 41.06/42.02 (step @p359 :rule nary_cong :premises (@p319 @p358) :args ((or @t335 (not @t333)))) % 41.06/42.02 (step @p360 :rule cnf_or_neg :args (@t335 1)) % 41.06/42.02 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 41.06/42.02 (step @p362 :rule reordering :premises (@p361) :args ((or @t332 @t335))) % 41.06/42.02 (step @p363 :rule chain_m_resolution :premises (@p362 @p317) :args (@t332 @t315 @t336)) % 41.06/42.02 (step @p364 :rule cnf_or_pos :args (@t348)) % 41.06/42.02 (step @p365 :rule factoring :premises (@p364)) % 41.06/42.02 (step @p366 :rule reordering :premises (@p365) :args ((or @t333 @t347 @t343 @t345 @t341 (not @t348)))) % 41.06/42.02 (step @p367 :rule chain_m_resolution :premises (@p366 @p363 @p357 @p356 @p349 @p333) :args (@t341 (@list false false false true false) (@list @t332 @t346 @t342 @t345 @t348))) % 41.06/42.02 (step @p368 :rule skolemize :premises (@p367)) % 41.06/42.02 (step @p369 :rule bool-double-not-elim :args (@t360)) % 41.06/42.02 (step @p370 :rule refl :args (@t364)) % 41.06/42.02 (step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or @t364 (not @t361)))) % 41.06/42.02 (step @p372 :rule cnf_or_neg :args (@t364 1)) % 41.06/42.02 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 41.06/42.02 (step @p374 :rule reordering :premises (@p373) :args ((or @t360 @t364))) % 41.06/42.02 (step @p375 :rule chain_m_resolution :premises (@p374 @p368) :args (@t360 @t315 @t365)) % 41.06/42.02 (step @p376 :rule instantiate :premises (@p288) :args ((@list @t320 @t359 @t320 @t359 @t359))) % 41.06/42.02 (step @p377 :rule instantiate :premises (@p298) :args ((@list @t301 @t318 @t320))) % 41.06/42.03 (step @p378 :rule cnf_or_pos :args (@t367)) % 41.06/42.03 (step @p379 :rule reordering :premises (@p378) :args ((or @t350 @t343 @t366 (not @t367)))) % 41.06/42.03 (step @p380 :rule chain_m_resolution :premises (@p379 @p327 @p356 @p377) :args (@t366 @t339 (@list @t337 @t342 @t367))) % 41.06/42.03 (step @p381 :rule cnf_or_pos :args (@t373)) % 41.06/42.03 (step @p382 :rule reordering :premises (@p381) :args ((or @t372 @t371 (not @t373)))) % 41.06/42.03 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p376) :args (@t371 @t328 (@list @t366 @t373))) % 41.06/42.03 (step @p384 :rule cnf_and_pos :args (@t371 0)) % 41.06/42.03 (step @p385 :rule reordering :premises (@p384) :args ((or @t370 (not @t371)))) % 41.06/42.03 (step @p386 :rule chain_m_resolution :premises (@p385 @p383) :args (@t370 @t329 (@list @t371))) % 41.06/42.03 (step @p387 :rule bool-double-not-elim :args (@t362)) % 41.06/42.03 (step @p388 :rule nary_cong :premises (@p370 @p387) :args ((or @t364 (not @t363)))) % 41.06/42.03 (step @p389 :rule cnf_or_neg :args (@t364 0)) % 41.06/42.03 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 41.06/42.03 (step @p391 :rule reordering :premises (@p390) :args ((or @t362 @t364))) % 41.06/42.03 (step @p392 :rule chain_m_resolution :premises (@p391 @p368) :args (@t362 @t315 @t365)) % 41.06/42.03 (step @p393 :rule cnf_or_pos :args (@t370)) % 41.06/42.03 (step @p394 :rule reordering :premises (@p393) :args ((or @t363 @t369 (not @t370)))) % 41.06/42.03 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p386) :args (@t369 @t328 (@list @t362 @t370))) % 41.06/42.03 (step @p396 :rule skolemize :premises (@p395)) % 41.06/42.03 (step @p397 :rule bool-double-not-elim :args (@t375)) % 41.06/42.03 (step @p398 :rule refl :args (@t380)) % 41.06/42.03 (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or @t380 (not @t377)))) % 41.06/42.03 (step @p400 :rule cnf_or_neg :args (@t380 1)) % 41.06/42.03 (step @p401 :rule eq_resolve :premises (@p400 @p399)) % 41.06/42.03 (step @p402 :rule reordering :premises (@p401) :args ((or @t375 @t380))) % 41.06/42.03 (step @p403 :rule chain_m_resolution :premises (@p402 @p396) :args (@t375 @t315 @t381)) % 41.06/42.03 (step @p404 :rule bool-double-not-elim :args (@t378)) % 41.06/42.03 (step @p405 :rule nary_cong :premises (@p398 @p404) :args ((or @t380 (not @t379)))) % 41.06/42.03 (step @p406 :rule cnf_or_neg :args (@t380 0)) % 41.06/42.03 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 41.06/42.03 (step @p408 :rule reordering :premises (@p407) :args ((or @t378 @t380))) % 41.06/42.03 (step @p409 :rule chain_m_resolution :premises (@p408 @p396) :args (@t378 @t315 @t381)) % 41.06/42.03 (step @p410 :rule cnf_or_pos :args (@t382)) % 41.06/42.03 (step @p411 :rule reordering :premises (@p410) :args ((or @t379 @t377 @t383))) % 41.06/42.03 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p403) :args (@t383 @t328 (@list @t378 @t375))) % 41.06/42.03 (assume-push @p419 @t360) % 41.06/42.03 (step @p414 :rule instantiate :premises (@p375) :args ((@list @t374))) % 41.06/42.03 (step-pop @p420 :rule scope :premises (@p414)) % 41.06/42.03 (step @p415 :rule process_scope :premises (@p420) :args (@t382)) % 41.06/42.03 (step @p417 :rule implies_elim :premises (@p415)) % 41.06/42.03 (step @p418 false :rule chain_m_resolution :premises (@p417 @p412 @p375) :args (false (@list true false) (@list @t382 @t360))) % 41.06/42.03 ) % 41.06/42.03 % SZS output end Proof % 41.06/42.03 % cvc5 exiting %------------------------------------------------------------------------------