%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 11:23:30 AM UTC 2026 % Result : Theorem 1.92s 2.27s % Output : Proof 1.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n013.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 14:35:05 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 1.92/2.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.92/2.27 % SZS status Theorem % 1.92/2.27 % SZS output start Proof % 1.92/2.27 ( % 1.92/2.27 (declare-sort $$unsorted 0) % 1.92/2.27 (declare-const tptp.p2 (-> $$unsorted Bool)) % 1.92/2.27 (declare-const tptp.p1 (-> $$unsorted Bool)) % 1.92/2.27 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 1.92/2.27 (define @t1 () (@var "X" $$unsorted)) % 1.92/2.27 (define @t2 () (@list @t1)) % 1.92/2.27 (define @t3 () (@var "Z" $$unsorted)) % 1.92/2.27 (define @t4 () (@var "Y" $$unsorted)) % 1.92/2.27 (define @t5 () (tptp.r1 @t1 @t4)) % 1.92/2.27 (define @t6 () (tptp.p1 @t4)) % 1.92/2.27 (define @t7 () (not @t5)) % 1.92/2.27 (define @t8 () (@list @t4)) % 1.92/2.27 (define @t9 () (forall @t8 (or @t7 @t6))) % 1.92/2.27 (define @t10 () (not (tptp.r1 @t4 @t1))) % 1.92/2.27 (define @t11 () (forall @t2 (or @t10 (tptp.p1 @t1)))) % 1.92/2.27 (define @t12 () (not @t9)) % 1.92/2.27 (define @t13 () (or @t10 @t12)) % 1.92/2.27 (define @t14 () (forall @t2 @t13)) % 1.92/2.27 (define @t15 () (or @t7 @t14 @t11)) % 1.92/2.27 (define @t16 () (forall @t8 @t15)) % 1.92/2.27 (define @t17 () (tptp.p2 @t4)) % 1.92/2.27 (define @t18 () (forall @t8 (or @t7 @t17))) % 1.92/2.27 (define @t19 () (or @t10 false)) % 1.92/2.27 (define @t20 () (forall @t2 @t19)) % 1.92/2.27 (define @t21 () (not @t20)) % 1.92/2.27 (define @t22 () (or @t7 @t21)) % 1.92/2.27 (define @t23 () (forall @t8 @t22)) % 1.92/2.27 (define @t24 () (not @t23)) % 1.92/2.27 (define @t25 () (not @t18)) % 1.92/2.27 (define @t26 () (and @t25 @t24 @t12)) % 1.92/2.27 (define @t27 () (not @t14)) % 1.92/2.27 (define @t28 () (not @t11)) % 1.92/2.27 (define @t29 () (or @t7 @t28)) % 1.92/2.27 (define @t30 () (forall @t8 @t29)) % 1.92/2.27 (define @t31 () (not @t30)) % 1.92/2.27 (define @t32 () (or @t10 @t31)) % 1.92/2.27 (define @t33 () (forall @t2 @t32)) % 1.92/2.27 (define @t34 () (not @t33)) % 1.92/2.27 (define @t35 () (and @t34 @t27)) % 1.92/2.27 (define @t36 () (not @t35)) % 1.92/2.27 (define @t37 () (or @t7 @t36)) % 1.92/2.27 (define @t38 () (forall @t8 @t37)) % 1.92/2.27 (define @t39 () (not @t38)) % 1.92/2.27 (define @t40 () (and @t25 @t39 @t12)) % 1.92/2.27 (define @t41 () (and @t31 @t12)) % 1.92/2.27 (define @t42 () (not @t41)) % 1.92/2.27 (define @t43 () (or @t10 @t42)) % 1.92/2.27 (define @t44 () (forall @t2 @t43)) % 1.92/2.27 (define @t45 () (or @t7 @t44)) % 1.92/2.27 (define @t46 () (forall @t8 @t45)) % 1.92/2.27 (define @t47 () (not @t46)) % 1.92/2.27 (define @t48 () (and @t25 @t47 @t12)) % 1.92/2.27 (define @t49 () (not @t6)) % 1.92/2.27 (define @t50 () (forall @t8 (or @t7 @t49))) % 1.92/2.27 (define @t51 () (not @t50)) % 1.92/2.27 (define @t52 () (or @t10 @t51)) % 1.92/2.27 (define @t53 () (forall @t2 @t52)) % 1.92/2.27 (define @t54 () (not @t53)) % 1.92/2.27 (define @t55 () (and @t54 @t6)) % 1.92/2.27 (define @t56 () (not @t55)) % 1.92/2.27 (define @t57 () (or @t7 @t56)) % 1.92/2.27 (define @t58 () (forall @t8 @t57)) % 1.92/2.27 (define @t59 () (not @t58)) % 1.92/2.27 (define @t60 () (and @t25 @t59 @t12)) % 1.92/2.27 (define @t61 () (or @t60 @t48 @t40 @t26 @t18 @t16 @t9)) % 1.92/2.27 (define @t62 () (not @t61)) % 1.92/2.27 (define @t63 () (exists @t2 @t62)) % 1.92/2.27 (define @t64 () (@var "BOUND_VARIABLE_7768" $$unsorted)) % 1.92/2.27 (define @t65 () (tptp.p1 @t64)) % 1.92/2.27 (define @t66 () (not (tptp.r1 @t1 @t64))) % 1.92/2.27 (define @t67 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 1.92/2.27 (define @t68 () (tptp.p1 @t67)) % 1.92/2.27 (define @t69 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 1.92/2.27 (define @t70 () (not (tptp.r1 @t69 @t67))) % 1.92/2.27 (define @t71 () (@var "BOUND_VARIABLE_7689" $$unsorted)) % 1.92/2.27 (define @t72 () (tptp.p1 @t71)) % 1.92/2.27 (define @t73 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 1.92/2.27 (define @t74 () (@list @t71)) % 1.92/2.27 (define @t75 () (not (forall @t74 (or (not (tptp.r1 @t73 @t71)) @t72)))) % 1.92/2.27 (define @t76 () (not (tptp.r1 @t69 @t73))) % 1.92/2.27 (define @t77 () (not (tptp.r1 @t1 @t69))) % 1.92/2.27 (define @t78 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 1.92/2.27 (define @t79 () (tptp.p2 @t78)) % 1.92/2.27 (define @t80 () (not (tptp.r1 @t1 @t78))) % 1.92/2.27 (define @t81 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 1.92/2.27 (define @t82 () (not (forall (@list @t81) (not (tptp.r1 @t4 @t81))))) % 1.92/2.27 (define @t83 () (and @t25 (not (forall @t8 (or @t7 @t82))) @t12)) % 1.92/2.27 (define @t84 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 1.92/2.27 (define @t85 () (tptp.p1 @t84)) % 1.92/2.27 (define @t86 () (@var "BOUND_VARIABLE_7666" $$unsorted)) % 1.92/2.27 (define @t87 () (@list @t84)) % 1.92/2.27 (define @t88 () (not (forall @t87 (or (not (tptp.r1 @t86 @t84)) @t85)))) % 1.92/2.27 (define @t89 () (not (tptp.r1 @t4 @t86))) % 1.92/2.27 (define @t90 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 1.92/2.27 (define @t91 () (tptp.p1 @t90)) % 1.92/2.27 (define @t92 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 1.92/2.27 (define @t93 () (@list @t90)) % 1.92/2.27 (define @t94 () (not (forall @t93 (or (not (tptp.r1 @t92 @t90)) @t91)))) % 1.92/2.27 (define @t95 () (@var "BOUND_VARIABLE_7656" $$unsorted)) % 1.92/2.27 (define @t96 () (@list @t92)) % 1.92/2.27 (define @t97 () (not (forall @t96 (or (not (tptp.r1 @t95 @t92)) @t94)))) % 1.92/2.27 (define @t98 () (not (tptp.r1 @t4 @t95))) % 1.92/2.27 (define @t99 () (or @t7 @t98 @t97 @t89 @t88)) % 1.92/2.27 (define @t100 () (@list @t4 @t95 @t86)) % 1.92/2.27 (define @t101 () (and @t25 (not (forall @t100 @t99)) @t12)) % 1.92/2.27 (define @t102 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 1.92/2.27 (define @t103 () (tptp.p1 @t102)) % 1.92/2.27 (define @t104 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 1.92/2.27 (define @t105 () (not (tptp.r1 @t104 @t102))) % 1.92/2.27 (define @t106 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 1.92/2.27 (define @t107 () (tptp.p1 @t106)) % 1.92/2.27 (define @t108 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 1.92/2.27 (define @t109 () (@list @t106)) % 1.92/2.27 (define @t110 () (not (forall @t109 (or (not (tptp.r1 @t108 @t106)) @t107)))) % 1.92/2.27 (define @t111 () (not (tptp.r1 @t104 @t108))) % 1.92/2.27 (define @t112 () (not (tptp.r1 @t4 @t104))) % 1.92/2.27 (define @t113 () (or @t7 @t112 @t111 @t110 @t105 @t103)) % 1.92/2.27 (define @t114 () (@list @t4 @t104 @t108 @t102)) % 1.92/2.27 (define @t115 () (and @t25 (not (forall @t114 @t113)) @t12)) % 1.92/2.27 (define @t116 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 1.92/2.27 (define @t117 () (not (tptp.p1 @t116))) % 1.92/2.27 (define @t118 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 1.92/2.27 (define @t119 () (@list @t116)) % 1.92/2.27 (define @t120 () (not (forall @t119 (or (not (tptp.r1 @t118 @t116)) @t117)))) % 1.92/2.27 (define @t121 () (not (tptp.r1 @t4 @t118))) % 1.92/2.27 (define @t122 () (or @t7 @t49 @t121 @t120)) % 1.92/2.27 (define @t123 () (@list @t4 @t118)) % 1.92/2.27 (define @t124 () (and @t25 (not (forall @t123 @t122)) @t12)) % 1.92/2.27 (define @t125 () (or @t124 @t115 @t101 @t83 @t80 @t79 @t77 @t76 @t75 @t70 @t68 @t66 @t65)) % 1.92/2.27 (define @t126 () (or @t66 @t65)) % 1.92/2.27 (define @t127 () (or @t77 @t76 @t75 @t70 @t68)) % 1.92/2.27 (define @t128 () (or @t80 @t79)) % 1.92/2.27 (define @t129 () (or @t124 @t115 @t101 @t83 @t128 @t127 @t126)) % 1.92/2.27 (define @t130 () (@list @t1 @t78 @t69 @t73 @t67 @t64)) % 1.92/2.27 (define @t131 () (forall @t130 @t129)) % 1.92/2.27 (define @t132 () (forall (@list @t78 @t69 @t73 @t67 @t64) @t129)) % 1.92/2.27 (define @t133 () (forall (@list @t64) @t126)) % 1.92/2.27 (define @t134 () (@list @t4)) % 1.92/2.27 (define @t135 () (forall (@list @t69 @t73 @t67) @t127)) % 1.92/2.27 (define @t136 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 1.92/2.27 (define @t137 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 1.92/2.27 (define @t138 () (forall (@list @t78) @t128)) % 1.92/2.27 (define @t139 () (or @t124 @t115 @t101 @t83 @t138 @t135 @t133)) % 1.92/2.27 (define @t140 () (tptp.p1 @t136)) % 1.92/2.27 (define @t141 () (not (tptp.r1 @t4 @t136))) % 1.92/2.27 (define @t142 () (not (forall @t74 (or (not (tptp.r1 @t137 @t71)) @t72)))) % 1.92/2.27 (define @t143 () (not (tptp.r1 @t4 @t137))) % 1.92/2.27 (define @t144 () (or @t7 @t143 @t142 @t141 @t140)) % 1.92/2.27 (define @t145 () (@list @t4 @t137 @t136)) % 1.92/2.27 (define @t146 () (forall @t145 @t144)) % 1.92/2.27 (define @t147 () (forall @t2 @t10)) % 1.92/2.27 (define @t148 () (@list @t1)) % 1.92/2.27 (define @t149 () (not @t147)) % 1.92/2.27 (define @t150 () (or @t7 @t149)) % 1.92/2.27 (define @t151 () (forall @t8 @t150)) % 1.92/2.27 (define @t152 () (not @t151)) % 1.92/2.27 (define @t153 () (and @t25 @t152 @t12)) % 1.92/2.27 (define @t154 () (or @t124 @t115 @t101 @t153 @t18 @t146 @t9)) % 1.92/2.27 (define @t155 () (not @t154)) % 1.92/2.27 (define @t156 () (forall @t2 (not @t155))) % 1.92/2.27 (define @t157 () (not @t156)) % 1.92/2.27 (define @t158 () (or @t141 @t140)) % 1.92/2.27 (define @t159 () (or @t143 @t142)) % 1.92/2.27 (define @t160 () (or @t7 @t159 @t158)) % 1.92/2.27 (define @t161 () (forall @t145 @t160)) % 1.92/2.27 (define @t162 () (forall (@list @t137 @t136) @t160)) % 1.92/2.27 (define @t163 () (forall (@list @t136) @t158)) % 1.92/2.27 (define @t164 () (forall (@list @t137) @t159)) % 1.92/2.27 (define @t165 () (or @t7 @t164 @t163)) % 1.92/2.27 (define @t166 () (@list @t71)) % 1.92/2.27 (define @t167 () (or @t89 @t88)) % 1.92/2.27 (define @t168 () (or @t98 @t97)) % 1.92/2.27 (define @t169 () (or @t7 @t168 @t167)) % 1.92/2.27 (define @t170 () (forall @t100 @t169)) % 1.92/2.27 (define @t171 () (forall (@list @t95 @t86) @t169)) % 1.92/2.27 (define @t172 () (forall (@list @t86) @t167)) % 1.92/2.27 (define @t173 () (forall (@list @t95) @t168)) % 1.92/2.27 (define @t174 () (or @t7 @t173 @t172)) % 1.92/2.27 (define @t175 () (forall @t2 (or @t10 (not (forall @t87 (or (not (tptp.r1 @t1 @t84)) @t85)))))) % 1.92/2.27 (define @t176 () (forall @t2 (or @t10 (not (forall @t96 (or (not (tptp.r1 @t1 @t92)) @t94)))))) % 1.92/2.27 (define @t177 () (or @t7 @t176 @t175)) % 1.92/2.27 (define @t178 () (not @t175)) % 1.92/2.27 (define @t179 () (not @t176)) % 1.92/2.27 (define @t180 () (or @t7 (not (and @t179 @t178)))) % 1.92/2.27 (define @t181 () (forall @t8 (or @t7 (not (forall @t93 (or (not (tptp.r1 @t4 @t90)) @t91)))))) % 1.92/2.27 (define @t182 () (not @t181)) % 1.92/2.27 (define @t183 () (or @t10 @t182)) % 1.92/2.27 (define @t184 () (forall @t2 @t183)) % 1.92/2.27 (define @t185 () (not @t184)) % 1.92/2.27 (define @t186 () (and @t185 @t27)) % 1.92/2.27 (define @t187 () (not @t186)) % 1.92/2.27 (define @t188 () (or @t7 @t187)) % 1.92/2.27 (define @t189 () (or @t112 @t111 @t110 @t105 @t103)) % 1.92/2.27 (define @t190 () (or @t7 @t189)) % 1.92/2.27 (define @t191 () (forall @t114 @t190)) % 1.92/2.27 (define @t192 () (@list @t104 @t108 @t102)) % 1.92/2.27 (define @t193 () (forall @t192 @t190)) % 1.92/2.27 (define @t194 () (forall @t192 @t189)) % 1.92/2.27 (define @t195 () (@var "BOUND_VARIABLE_7563" $$unsorted)) % 1.92/2.27 (define @t196 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 1.92/2.27 (define @t197 () (or @t7 @t194)) % 1.92/2.27 (define @t198 () (tptp.p1 @t195)) % 1.92/2.27 (define @t199 () (not (tptp.r1 @t1 @t195))) % 1.92/2.27 (define @t200 () (not (forall @t109 (or (not (tptp.r1 @t196 @t106)) @t107)))) % 1.92/2.27 (define @t201 () (not (tptp.r1 @t1 @t196))) % 1.92/2.27 (define @t202 () (or @t10 @t201 @t200 @t199 @t198)) % 1.92/2.27 (define @t203 () (@list @t1 @t196 @t195)) % 1.92/2.27 (define @t204 () (or @t199 @t198)) % 1.92/2.27 (define @t205 () (or @t201 @t200)) % 1.92/2.27 (define @t206 () (or @t10 @t205 @t204)) % 1.92/2.27 (define @t207 () (forall @t203 @t206)) % 1.92/2.27 (define @t208 () (forall (@list @t196 @t195) @t206)) % 1.92/2.27 (define @t209 () (forall (@list @t195) @t204)) % 1.92/2.27 (define @t210 () (forall (@list @t196) @t205)) % 1.92/2.27 (define @t211 () (or @t10 @t210 @t209)) % 1.92/2.27 (define @t212 () (forall @t8 (or @t7 (not (forall @t109 (or (not (tptp.r1 @t4 @t106)) @t107)))))) % 1.92/2.27 (define @t213 () (or @t10 @t212 @t9)) % 1.92/2.27 (define @t214 () (not @t212)) % 1.92/2.27 (define @t215 () (or @t10 (not (and @t214 @t12)))) % 1.92/2.27 (define @t216 () (@list @t106)) % 1.92/2.27 (define @t217 () (or @t121 @t120)) % 1.92/2.27 (define @t218 () (or @t7 @t217 @t49)) % 1.92/2.27 (define @t219 () (forall @t123 @t218)) % 1.92/2.27 (define @t220 () (@list @t118)) % 1.92/2.27 (define @t221 () (forall @t220 @t218)) % 1.92/2.27 (define @t222 () (forall @t220 @t217)) % 1.92/2.27 (define @t223 () (or @t7 @t222 @t49)) % 1.92/2.27 (define @t224 () (forall @t2 (or @t10 (not (forall @t119 (or (not (tptp.r1 @t1 @t116)) @t117)))))) % 1.92/2.27 (define @t225 () (or @t7 @t224 @t49)) % 1.92/2.27 (define @t226 () (not @t224)) % 1.92/2.27 (define @t227 () (or @t7 (not (and @t226 @t6)))) % 1.92/2.27 (define @t228 () (forall @t130 @t125)) % 1.92/2.27 (define @t229 () (@quantifiers_skolemize @t228 5)) % 1.92/2.27 (define @t230 () (tptp.p1 @t229)) % 1.92/2.27 (define @t231 () (@quantifiers_skolemize @t228 0)) % 1.92/2.27 (define @t232 () (tptp.r1 @t231 @t229)) % 1.92/2.27 (define @t233 () (not @t232)) % 1.92/2.27 (define @t234 () (@quantifiers_skolemize @t228 4)) % 1.92/2.27 (define @t235 () (tptp.p1 @t234)) % 1.92/2.27 (define @t236 () (@quantifiers_skolemize @t228 2)) % 1.92/2.27 (define @t237 () (tptp.r1 @t236 @t234)) % 1.92/2.27 (define @t238 () (not @t237)) % 1.92/2.27 (define @t239 () (@quantifiers_skolemize @t228 3)) % 1.92/2.27 (define @t240 () (forall @t74 (or (not (tptp.r1 @t239 @t71)) @t72))) % 1.92/2.27 (define @t241 () (not @t240)) % 1.92/2.27 (define @t242 () (tptp.r1 @t236 @t239)) % 1.92/2.27 (define @t243 () (not @t242)) % 1.92/2.27 (define @t244 () (tptp.r1 @t231 @t236)) % 1.92/2.27 (define @t245 () (not @t244)) % 1.92/2.27 (define @t246 () (@quantifiers_skolemize @t228 1)) % 1.92/2.27 (define @t247 () (tptp.p2 @t246)) % 1.92/2.27 (define @t248 () (tptp.r1 @t231 @t246)) % 1.92/2.27 (define @t249 () (not @t248)) % 1.92/2.27 (define @t250 () (not (tptp.r1 @t231 @t4))) % 1.92/2.27 (define @t251 () (forall @t8 (or @t250 @t6))) % 1.92/2.27 (define @t252 () (not @t251)) % 1.92/2.27 (define @t253 () (forall @t8 (or @t250 @t17))) % 1.92/2.27 (define @t254 () (not @t253)) % 1.92/2.27 (define @t255 () (forall @t114 (or @t250 @t112 @t111 @t110 @t105 @t103))) % 1.92/2.27 (define @t256 () (not @t255)) % 1.92/2.27 (define @t257 () (and @t254 @t256 @t252)) % 1.92/2.27 (define @t258 () (or (and @t254 (not (forall @t123 (or @t250 @t49 @t121 @t120))) @t252) @t257 (and @t254 (not (forall @t100 (or @t250 @t98 @t97 @t89 @t88))) @t252) (and @t254 (not (forall @t8 (or @t250 @t82))) @t252) @t249 @t247 @t245 @t243 @t241 @t238 @t235 @t233 @t230)) % 1.92/2.27 (define @t259 () (@list true)) % 1.92/2.27 (define @t260 () (@list @t258)) % 1.92/2.27 (define @t261 () (or @t233 @t230)) % 1.92/2.27 (define @t262 () (not @t261)) % 1.92/2.27 (define @t263 () (@list false true)) % 1.92/2.27 (define @t264 () (or @t249 @t247)) % 1.92/2.27 (define @t265 () (not @t264)) % 1.92/2.27 (define @t266 () (forall @t109 (or (not (tptp.r1 @t239 @t106)) @t107))) % 1.92/2.27 (define @t267 () (not @t266)) % 1.92/2.27 (define @t268 () (tptp.r1 @t231 @t231)) % 1.92/2.27 (define @t269 () (not @t268)) % 1.92/2.27 (define @t270 () (or @t269 @t245 @t243 @t267 @t238 @t235)) % 1.92/2.27 (define @t271 () (not @t270)) % 1.92/2.27 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 1.92/2.27 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (tptp.r1 @t4 @t3)) (tptp.r1 @t1 @t3)))) % 1.92/2.27 (assume @p3 (not (not @t63))) % 1.92/2.27 (assume @p4 true) % 1.92/2.27 (step @p5 :rule aci_norm :args ((= @t129 @t125))) % 1.92/2.27 (step @p6 :rule cong :premises (@p5) :args (@t131)) % 1.92/2.27 (step @p7 :rule quant-merge-prenex :args ((= (forall @t2 @t132) @t131))) % 1.92/2.27 (step @p8 :rule alpha_equiv :args (@t133 (@list @t64) @t134)) % 1.92/2.27 (step @p9 :rule alpha_equiv :args (@t135 (@list @t69 @t73 @t67) (@list @t4 @t137 @t136))) % 1.92/2.27 (step @p10 :rule alpha_equiv :args (@t138 (@list @t78) @t134)) % 1.92/2.27 (step @p11 :rule refl :args (@t83)) % 1.92/2.27 (step @p12 :rule refl :args (@t101)) % 1.92/2.27 (step @p13 :rule refl :args (@t115)) % 1.92/2.27 (step @p14 :rule refl :args (@t124)) % 1.92/2.27 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (@t139)) % 1.92/2.27 (step @p16 :rule quant-miniscope-or :args ((= @t132 @t139))) % 1.92/2.27 (step @p17 :rule trans :premises (@p16 @p15)) % 1.92/2.27 (step @p18 :rule symm :premises (@p17)) % 1.92/2.27 (step @p19 :rule cong :premises (@p18) :args ((forall @t2 (or @t124 @t115 @t101 @t83 @t18 @t146 @t9)))) % 1.92/2.27 (step @p20 :rule trans :premises (@p19 @p7)) % 1.92/2.27 (step @p21 :rule trans :premises (@p20 @p6)) % 1.92/2.27 (step @p22 :rule refl :args (@t9)) % 1.92/2.27 (step @p23 :rule refl :args (@t146)) % 1.92/2.27 (step @p24 :rule refl :args (@t18)) % 1.92/2.27 (step @p25 :rule refl :args (@t12)) % 1.92/2.27 (step @p26 :rule alpha_equiv :args (@t147 @t148 (@list @t81))) % 1.92/2.27 (step @p27 :rule cong :premises (@p26) :args (@t149)) % 1.92/2.27 (step @p28 :rule refl :args (@t7)) % 1.92/2.27 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t150)) % 1.92/2.27 (step @p30 :rule cong :premises (@p29) :args (@t151)) % 1.92/2.27 (step @p31 :rule cong :premises (@p30) :args (@t152)) % 1.92/2.27 (step @p32 :rule refl :args (@t25)) % 1.92/2.27 (step @p33 :rule nary_cong :premises (@p32 @p31 @p25) :args (@t153)) % 1.92/2.27 (step @p34 :rule nary_cong :premises (@p14 @p13 @p12 @p33 @p24 @p23 @p22) :args (@t154)) % 1.92/2.27 (step @p35 :rule cong :premises (@p34) :args ((forall @t2 @t154))) % 1.92/2.27 (step @p36 :rule trans :premises (@p35 @p21)) % 1.92/2.27 (step @p37 :rule bool-double-not-elim :args (@t154)) % 1.92/2.27 (step @p38 :rule cong :premises (@p37) :args (@t156)) % 1.92/2.27 (step @p39 :rule trans :premises (@p38 @p36)) % 1.92/2.27 (step @p40 :rule cong :premises (@p39) :args (@t157)) % 1.92/2.27 (step @p41 :rule exists-elim :args ((= (exists @t2 @t155) @t157))) % 1.92/2.27 (step @p42 :rule trans :premises (@p41 @p40)) % 1.92/2.27 (step @p43 :rule refl :args (@t9)) % 1.92/2.27 (step @p44 :rule aci_norm :args ((= @t160 @t144))) % 1.92/2.27 (step @p45 :rule cong :premises (@p44) :args (@t161)) % 1.92/2.27 (step @p46 :rule quant-merge-prenex :args ((= (forall @t8 @t162) @t161))) % 1.92/2.27 (step @p47 :rule alpha_equiv :args (@t163 (@list @t136) @t148)) % 1.92/2.27 (step @p48 :rule alpha_equiv :args (@t164 (@list @t137) @t148)) % 1.92/2.27 (step @p49 :rule nary_cong :premises (@p28 @p48 @p47) :args (@t165)) % 1.92/2.27 (step @p50 :rule quant-miniscope-or :args ((= @t162 @t165))) % 1.92/2.27 (step @p51 :rule trans :premises (@p50 @p49)) % 1.92/2.27 (step @p52 :rule symm :premises (@p51)) % 1.92/2.27 (step @p53 :rule cong :premises (@p52) :args ((forall @t8 (or @t7 (forall @t2 (or @t10 (not (forall @t74 (or (not (tptp.r1 @t1 @t71)) @t72))))) @t11)))) % 1.92/2.27 (step @p54 :rule trans :premises (@p53 @p46)) % 1.92/2.27 (step @p55 :rule trans :premises (@p54 @p45)) % 1.92/2.27 (step @p56 :rule refl :args (@t11)) % 1.92/2.27 (step @p57 :rule alpha_equiv :args (@t9 @t134 @t166)) % 1.92/2.27 (step @p58 :rule cong :premises (@p57) :args (@t12)) % 1.92/2.27 (step @p59 :rule refl :args (@t10)) % 1.92/2.27 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t13)) % 1.92/2.27 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 1.92/2.27 (step @p62 :rule nary_cong :premises (@p28 @p61 @p56) :args (@t15)) % 1.92/2.27 (step @p63 :rule cong :premises (@p62) :args (@t16)) % 1.92/2.27 (step @p64 :rule trans :premises (@p63 @p55)) % 1.92/2.27 (step @p65 :rule refl :args (@t18)) % 1.92/2.27 (step @p66 :rule refl :args (@t12)) % 1.92/2.27 (step @p67 :rule aci_norm :args ((= @t19 @t10))) % 1.92/2.27 (step @p68 :rule cong :premises (@p67) :args (@t20)) % 1.92/2.27 (step @p69 :rule cong :premises (@p68) :args (@t21)) % 1.92/2.27 (step @p70 :rule refl :args (@t7)) % 1.92/2.27 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t22)) % 1.92/2.27 (step @p72 :rule cong :premises (@p71) :args (@t23)) % 1.92/2.27 (step @p73 :rule cong :premises (@p72) :args (@t24)) % 1.92/2.27 (step @p74 :rule refl :args (@t25)) % 1.92/2.27 (step @p75 :rule nary_cong :premises (@p74 @p73 @p66) :args (@t26)) % 1.92/2.27 (step @p76 :rule aci_norm :args ((= @t169 @t99))) % 1.92/2.27 (step @p77 :rule cong :premises (@p76) :args (@t170)) % 1.92/2.27 (step @p78 :rule quant-merge-prenex :args ((= (forall @t8 @t171) @t170))) % 1.92/2.27 (step @p79 :rule alpha_equiv :args (@t172 (@list @t86) @t148)) % 1.92/2.27 (step @p80 :rule alpha_equiv :args (@t173 (@list @t95) @t148)) % 1.92/2.27 (step @p81 :rule nary_cong :premises (@p28 @p80 @p79) :args (@t174)) % 1.92/2.27 (step @p82 :rule quant-miniscope-or :args ((= @t171 @t174))) % 1.92/2.27 (step @p83 :rule trans :premises (@p82 @p81)) % 1.92/2.27 (step @p84 :rule symm :premises (@p83)) % 1.92/2.27 (step @p85 :rule cong :premises (@p84) :args ((forall @t8 @t177))) % 1.92/2.27 (step @p86 :rule trans :premises (@p85 @p78)) % 1.92/2.27 (step @p87 :rule trans :premises (@p86 @p77)) % 1.92/2.27 (step @p88 :rule aci_norm :args ((= (or @t7 (or @t176 @t175)) @t177))) % 1.92/2.27 (step @p89 :rule bool-double-not-elim :args (@t175)) % 1.92/2.27 (step @p90 :rule bool-double-not-elim :args (@t176)) % 1.92/2.27 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t179) (not @t178)))) % 1.92/2.27 (step @p92 :rule bool-and-de-morgan :args (@t179 @t178 true)) % 1.92/2.27 (step @p93 :rule trans :premises (@p92 @p91)) % 1.92/2.27 (step @p94 :rule nary_cong :premises (@p28 @p93) :args (@t180)) % 1.92/2.27 (step @p95 :rule trans :premises (@p94 @p88)) % 1.92/2.27 (step @p96 :rule cong :premises (@p95) :args ((forall @t8 @t180))) % 1.92/2.27 (step @p97 :rule trans :premises (@p96 @p87)) % 1.92/2.27 (step @p98 :rule alpha_equiv :args (@t9 @t134 (@list @t84))) % 1.92/2.27 (step @p99 :rule cong :premises (@p98) :args (@t12)) % 1.92/2.27 (step @p100 :rule nary_cong :premises (@p59 @p99) :args (@t13)) % 1.92/2.27 (step @p101 :rule cong :premises (@p100) :args (@t14)) % 1.92/2.27 (step @p102 :rule cong :premises (@p101) :args (@t27)) % 1.92/2.27 (step @p103 :rule alpha_equiv :args (@t181 @t134 (@list @t92))) % 1.92/2.27 (step @p104 :rule cong :premises (@p103) :args (@t182)) % 1.92/2.27 (step @p105 :rule nary_cong :premises (@p59 @p104) :args (@t183)) % 1.92/2.27 (step @p106 :rule cong :premises (@p105) :args (@t184)) % 1.92/2.27 (step @p107 :rule cong :premises (@p106) :args (@t185)) % 1.92/2.27 (step @p108 :rule nary_cong :premises (@p107 @p102) :args (@t186)) % 1.92/2.27 (step @p109 :rule cong :premises (@p108) :args (@t187)) % 1.92/2.27 (step @p110 :rule nary_cong :premises (@p28 @p109) :args (@t188)) % 1.92/2.27 (step @p111 :rule cong :premises (@p110) :args ((forall @t8 @t188))) % 1.92/2.27 (step @p112 :rule trans :premises (@p111 @p97)) % 1.92/2.27 (step @p113 :rule refl :args (@t27)) % 1.92/2.27 (step @p114 :rule alpha_equiv :args (@t11 @t148 (@list @t90))) % 1.92/2.27 (step @p115 :rule cong :premises (@p114) :args (@t28)) % 1.92/2.27 (step @p116 :rule nary_cong :premises (@p28 @p115) :args (@t29)) % 1.92/2.27 (step @p117 :rule cong :premises (@p116) :args (@t30)) % 1.92/2.27 (step @p118 :rule cong :premises (@p117) :args (@t31)) % 1.92/2.27 (step @p119 :rule nary_cong :premises (@p59 @p118) :args (@t32)) % 1.92/2.27 (step @p120 :rule cong :premises (@p119) :args (@t33)) % 1.92/2.27 (step @p121 :rule cong :premises (@p120) :args (@t34)) % 1.92/2.27 (step @p122 :rule nary_cong :premises (@p121 @p113) :args (@t35)) % 1.92/2.27 (step @p123 :rule cong :premises (@p122) :args (@t36)) % 1.92/2.27 (step @p124 :rule nary_cong :premises (@p70 @p123) :args (@t37)) % 1.92/2.27 (step @p125 :rule cong :premises (@p124) :args (@t38)) % 1.92/2.27 (step @p126 :rule trans :premises (@p125 @p112)) % 1.92/2.27 (step @p127 :rule cong :premises (@p126) :args (@t39)) % 1.92/2.27 (step @p128 :rule nary_cong :premises (@p74 @p127 @p66) :args (@t40)) % 1.92/2.27 (step @p129 :rule aci_norm :args ((= @t190 @t113))) % 1.92/2.27 (step @p130 :rule cong :premises (@p129) :args (@t191)) % 1.92/2.27 (step @p131 :rule quant-merge-prenex :args ((= (forall @t8 @t193) @t191))) % 1.92/2.27 (step @p132 :rule alpha_equiv :args (@t194 (@list @t104 @t108 @t102) (@list @t1 @t196 @t195))) % 1.92/2.27 (step @p133 :rule nary_cong :premises (@p28 @p132) :args (@t197)) % 1.92/2.27 (step @p134 :rule quant-miniscope-or :args ((= @t193 @t197))) % 1.92/2.27 (step @p135 :rule trans :premises (@p134 @p133)) % 1.92/2.27 (step @p136 :rule symm :premises (@p135)) % 1.92/2.27 (step @p137 :rule cong :premises (@p136) :args ((forall @t8 (or @t7 (forall @t203 @t202))))) % 1.92/2.27 (step @p138 :rule trans :premises (@p137 @p131)) % 1.92/2.27 (step @p139 :rule trans :premises (@p138 @p130)) % 1.92/2.27 (step @p140 :rule aci_norm :args ((= @t206 @t202))) % 1.92/2.27 (step @p141 :rule cong :premises (@p140) :args (@t207)) % 1.92/2.27 (step @p142 :rule quant-merge-prenex :args ((= (forall @t2 @t208) @t207))) % 1.92/2.27 (step @p143 :rule alpha_equiv :args (@t209 (@list @t195) @t134)) % 1.92/2.27 (step @p144 :rule alpha_equiv :args (@t210 (@list @t196) @t134)) % 1.92/2.27 (step @p145 :rule nary_cong :premises (@p59 @p144 @p143) :args (@t211)) % 1.92/2.27 (step @p146 :rule quant-miniscope-or :args ((= @t208 @t211))) % 1.92/2.27 (step @p147 :rule trans :premises (@p146 @p145)) % 1.92/2.27 (step @p148 :rule symm :premises (@p147)) % 1.92/2.27 (step @p149 :rule cong :premises (@p148) :args ((forall @t2 @t213))) % 1.92/2.27 (step @p150 :rule trans :premises (@p149 @p142)) % 1.92/2.27 (step @p151 :rule trans :premises (@p150 @p141)) % 1.92/2.27 (step @p152 :rule aci_norm :args ((= (or @t10 (or @t212 @t9)) @t213))) % 1.92/2.27 (step @p153 :rule bool-double-not-elim :args (@t9)) % 1.92/2.27 (step @p154 :rule bool-double-not-elim :args (@t212)) % 1.92/2.27 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t214) (not @t12)))) % 1.92/2.27 (step @p156 :rule bool-and-de-morgan :args (@t214 @t12 true)) % 1.92/2.27 (step @p157 :rule trans :premises (@p156 @p155)) % 1.92/2.27 (step @p158 :rule nary_cong :premises (@p59 @p157) :args (@t215)) % 1.92/2.27 (step @p159 :rule trans :premises (@p158 @p152)) % 1.92/2.27 (step @p160 :rule cong :premises (@p159) :args ((forall 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:rule cong :premises (@p174) :args (@t47)) % 1.92/2.27 (step @p176 :rule nary_cong :premises (@p74 @p175 @p66) :args (@t48)) % 1.92/2.27 (step @p177 :rule aci_norm :args ((= @t218 @t122))) % 1.92/2.27 (step @p178 :rule cong :premises (@p177) :args (@t219)) % 1.92/2.27 (step @p179 :rule quant-merge-prenex :args ((= (forall @t8 @t221) @t219))) % 1.92/2.27 (step @p180 :rule refl :args (@t49)) % 1.92/2.27 (step @p181 :rule alpha_equiv :args (@t222 (@list @t118) @t148)) % 1.92/2.27 (step @p182 :rule nary_cong :premises (@p28 @p181 @p180) :args (@t223)) % 1.92/2.27 (step @p183 :rule quant-miniscope-or :args ((= @t221 @t223))) % 1.92/2.27 (step @p184 :rule trans :premises (@p183 @p182)) % 1.92/2.27 (step @p185 :rule symm :premises (@p184)) % 1.92/2.27 (step @p186 :rule cong :premises (@p185) :args ((forall @t8 @t225))) % 1.92/2.27 (step @p187 :rule trans :premises (@p186 @p179)) % 1.92/2.27 (step @p188 :rule trans :premises (@p187 @p178)) % 1.92/2.27 (step @p189 :rule aci_norm :args ((= (or @t7 (or @t224 @t49)) @t225))) % 1.92/2.27 (step @p190 :rule bool-double-not-elim :args (@t224)) % 1.92/2.27 (step @p191 :rule nary_cong :premises (@p190 @p180) :args ((or (not @t226) @t49))) % 1.92/2.27 (step @p192 :rule bool-and-de-morgan :args (@t226 @t6 true)) % 1.92/2.27 (step @p193 :rule trans :premises (@p192 @p191)) % 1.92/2.27 (step @p194 :rule nary_cong :premises (@p28 @p193) :args (@t227)) % 1.92/2.27 (step @p195 :rule trans :premises (@p194 @p189)) % 1.92/2.27 (step @p196 :rule cong :premises (@p195) :args ((forall @t8 @t227))) % 1.92/2.27 (step @p197 :rule trans :premises (@p196 @p188)) % 1.92/2.27 (step @p198 :rule refl :args (@t6)) % 1.92/2.27 (step @p199 :rule alpha_equiv :args (@t50 @t134 (@list @t116))) % 1.92/2.27 (step @p200 :rule cong :premises (@p199) :args (@t51)) % 1.92/2.27 (step @p201 :rule nary_cong :premises (@p59 @p200) :args (@t52)) % 1.92/2.27 (step @p202 :rule cong :premises (@p201) :args (@t53)) % 1.92/2.27 (step @p203 :rule cong :premises (@p202) :args (@t54)) % 1.92/2.27 (step @p204 :rule nary_cong :premises (@p203 @p198) :args (@t55)) % 1.92/2.27 (step @p205 :rule cong :premises (@p204) :args (@t56)) % 1.92/2.27 (step @p206 :rule nary_cong :premises (@p28 @p205) :args (@t57)) % 1.92/2.27 (step @p207 :rule cong :premises (@p206) :args (@t58)) % 1.92/2.27 (step @p208 :rule trans :premises (@p207 @p197)) % 1.92/2.27 (step @p209 :rule cong :premises (@p208) :args (@t59)) % 1.92/2.27 (step @p210 :rule nary_cong :premises (@p74 @p209 @p66) :args (@t60)) % 1.92/2.27 (step @p211 :rule nary_cong :premises (@p210 @p176 @p128 @p75 @p65 @p64 @p43) :args (@t61)) % 1.92/2.27 (step @p212 :rule cong :premises (@p211) :args (@t62)) % 1.92/2.27 (step @p213 :rule cong :premises (@p212) :args (@t63)) % 1.92/2.27 (step @p214 :rule trans :premises (@p213 @p42)) % 1.92/2.27 (step @p215 :rule bool-double-not-elim :args (@t63)) % 1.92/2.27 (step @p216 :rule trans :premises (@p215 @p214)) % 1.92/2.27 (step @p217 :rule eq_resolve :premises (@p3 @p216)) % 1.92/2.27 (step @p218 :rule skolemize :premises (@p217)) % 1.92/2.27 (step @p219 :rule cnf_or_neg :args (@t258 1)) % 1.92/2.27 (step @p220 :rule chain_m_resolution :premises (@p219 @p218) :args ((not @t257) @t259 @t260)) % 1.92/2.27 (step @p221 :rule cnf_or_neg :args (@t258 12)) % 1.92/2.27 (step @p222 :rule chain_m_resolution :premises (@p221 @p218) :args ((not @t230) @t259 @t260)) % 1.92/2.27 (step @p223 :rule bool-double-not-elim :args (@t232)) % 1.92/2.27 (step @p224 :rule refl :args (@t258)) % 1.92/2.27 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t258 (not @t233)))) % 1.92/2.27 (step @p226 :rule cnf_or_neg :args (@t258 11)) % 1.92/2.27 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 1.92/2.27 (step @p228 :rule reordering :premises (@p227) :args ((or @t232 @t258))) % 1.92/2.27 (step @p229 :rule chain_m_resolution :premises (@p228 @p218) :args (@t232 @t259 @t260)) % 1.92/2.27 (step @p230 :rule cnf_or_pos :args (@t261)) % 1.92/2.27 (step @p231 :rule reordering :premises (@p230) :args ((or @t233 @t230 @t262))) % 1.92/2.27 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p222) :args (@t262 @t263 (@list @t232 @t230))) % 1.92/2.27 (assume-push @p304 @t251) % 1.92/2.27 (step @p234 :rule instantiate :premises (@p304) :args ((@list @t229))) % 1.92/2.27 (step-pop @p305 :rule scope :premises (@p234)) % 1.92/2.27 (step @p235 :rule process_scope :premises (@p305) :args (@t261)) % 1.92/2.27 (step @p237 :rule implies_elim :premises (@p235)) % 1.92/2.27 (step @p238 :rule chain_m_resolution :premises (@p237 @p232) :args (@t252 @t259 (@list @t261))) % 1.92/2.27 (step @p239 :rule cnf_or_neg :args (@t258 5)) % 1.92/2.27 (step @p240 :rule chain_m_resolution :premises (@p239 @p218) :args ((not @t247) @t259 @t260)) % 1.92/2.27 (step @p241 :rule bool-double-not-elim :args (@t248)) % 1.92/2.27 (step @p242 :rule nary_cong :premises (@p224 @p241) :args ((or @t258 (not @t249)))) % 1.92/2.27 (step @p243 :rule cnf_or_neg :args (@t258 4)) % 1.92/2.27 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 1.92/2.27 (step @p245 :rule reordering :premises (@p244) :args ((or @t248 @t258))) % 1.92/2.27 (step @p246 :rule chain_m_resolution :premises (@p245 @p218) :args (@t248 @t259 @t260)) % 1.92/2.27 (step @p247 :rule cnf_or_pos :args (@t264)) % 1.92/2.27 (step @p248 :rule reordering :premises (@p247) :args ((or @t249 @t247 @t265))) % 1.92/2.27 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p240) :args (@t265 @t263 (@list @t248 @t247))) % 1.92/2.27 (assume-push @p306 @t253) % 1.92/2.27 (step @p251 :rule instantiate :premises (@p306) :args ((@list @t246))) % 1.92/2.27 (step-pop @p307 :rule scope :premises (@p251)) % 1.92/2.27 (step @p252 :rule process_scope :premises (@p307) :args (@t264)) % 1.92/2.27 (step @p254 :rule implies_elim :premises (@p252)) % 1.92/2.27 (step @p255 :rule chain_m_resolution :premises (@p254 @p249) :args (@t254 @t259 (@list @t264))) % 1.92/2.27 (step @p256 :rule bool-double-not-elim :args (@t240)) % 1.92/2.27 (step @p257 :rule nary_cong :premises (@p224 @p256) :args ((or @t258 (not @t241)))) % 1.92/2.27 (step @p258 :rule cnf_or_neg :args (@t258 8)) % 1.92/2.27 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 1.92/2.27 (step @p260 :rule reordering :premises (@p259) :args ((or @t240 @t258))) % 1.92/2.27 (step @p261 :rule chain_m_resolution :premises (@p260 @p218) :args (@t240 @t259 @t260)) % 1.92/2.27 (step @p262 :rule alpha_equiv :args (@t240 @t166 @t216)) % 1.92/2.27 (step @p263 :rule equiv_elim1 :premises (@p262)) % 1.92/2.27 (step @p264 :rule chain_m_resolution :premises (@p263 @p261) :args (@t266 (@list false) (@list @t240))) % 1.92/2.27 (step @p265 :rule instantiate :premises (@p1) :args ((@list @t231))) % 1.92/2.27 (step @p266 :rule cnf_or_neg :args (@t258 10)) % 1.92/2.27 (step @p267 :rule chain_m_resolution :premises (@p266 @p218) :args ((not @t235) @t259 @t260)) % 1.92/2.27 (step @p268 :rule bool-double-not-elim :args (@t237)) % 1.92/2.27 (step @p269 :rule nary_cong :premises (@p224 @p268) :args ((or @t258 (not @t238)))) % 1.92/2.27 (step @p270 :rule cnf_or_neg :args (@t258 9)) % 1.92/2.27 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 1.92/2.27 (step @p272 :rule reordering :premises (@p271) :args ((or @t237 @t258))) % 1.92/2.27 (step @p273 :rule chain_m_resolution :premises (@p272 @p218) :args (@t237 @t259 @t260)) % 1.92/2.27 (step @p274 :rule bool-double-not-elim :args (@t242)) % 1.92/2.27 (step @p275 :rule nary_cong :premises (@p224 @p274) :args ((or @t258 (not @t243)))) % 1.92/2.27 (step @p276 :rule cnf_or_neg :args (@t258 7)) % 1.92/2.27 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 1.92/2.27 (step @p278 :rule reordering :premises (@p277) :args ((or @t242 @t258))) % 1.92/2.27 (step @p279 :rule chain_m_resolution :premises (@p278 @p218) :args (@t242 @t259 @t260)) % 1.92/2.27 (step @p280 :rule bool-double-not-elim :args (@t244)) % 1.92/2.27 (step @p281 :rule nary_cong :premises (@p224 @p280) :args ((or @t258 (not @t245)))) % 1.92/2.28 (step @p282 :rule cnf_or_neg :args (@t258 6)) % 1.92/2.28 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 1.92/2.28 (step @p284 :rule reordering :premises (@p283) :args ((or @t244 @t258))) % 1.92/2.28 (step @p285 :rule chain_m_resolution :premises (@p284 @p218) :args (@t244 @t259 @t260)) % 1.92/2.28 (step @p286 :rule cnf_or_pos :args (@t270)) % 1.92/2.28 (step @p287 :rule reordering :premises (@p286) :args ((or @t245 @t243 @t238 @t235 @t269 @t267 @t271))) % 1.92/2.28 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p279 @p273 @p267 @p265 @p264) :args (@t271 (@list false false false true false false) (@list @t244 @t242 @t237 @t235 @t268 @t266))) % 1.92/2.28 (assume-push @p308 @t255) % 1.92/2.28 (step @p290 :rule instantiate :premises (@p308) :args ((@list @t231 @t236 @t239 @t234))) % 1.92/2.28 (step-pop @p309 :rule scope :premises (@p290)) % 1.92/2.28 (step @p291 :rule process_scope :premises (@p309) :args (@t270)) % 1.92/2.28 (step @p293 :rule implies_elim :premises (@p291)) % 1.92/2.28 (step @p294 :rule chain_m_resolution :premises (@p293 @p288) :args (@t256 @t259 (@list @t270))) % 1.92/2.28 (step @p295 :rule bool-double-not-elim :args (@t251)) % 1.92/2.28 (step @p296 :rule bool-double-not-elim :args (@t255)) % 1.92/2.28 (step @p297 :rule bool-double-not-elim :args (@t253)) % 1.92/2.28 (step @p298 :rule refl :args (@t257)) % 1.92/2.28 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296 @p295) :args ((or @t257 (not @t254) (not @t256) (not @t252)))) % 1.92/2.28 (step @p300 :rule cnf_and_neg :args (@t257)) % 1.92/2.28 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 1.92/2.28 (step @p302 :rule reordering :premises (@p301) :args ((or @t253 @t251 @t255 @t257))) % 1.92/2.28 (step @p303 false :rule chain_m_resolution :premises (@p302 @p294 @p255 @p238 @p220) :args (false (@list true true true true) (@list @t255 @t253 @t251 @t257))) % 1.92/2.28 ) % 1.92/2.28 % SZS output end Proof % 1.92/2.28 % cvc5 exiting %------------------------------------------------------------------------------