%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG136+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:05:19 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ALG136+1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.15 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n005.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 01:40:03 EDT 2026 % 0.18/0.36 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Unsatisfiable % 0.39/0.62 % SZS output start Proof % 0.39/0.67 ( % 0.39/0.67 (declare-sort $$unsorted 0) % 0.39/0.67 (declare-const tptp.e0 $$unsorted) % 0.39/0.67 (declare-const tptp.e1 $$unsorted) % 0.39/0.67 (declare-const tptp.e2 $$unsorted) % 0.39/0.67 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.67 (declare-const tptp.e3 $$unsorted) % 0.39/0.67 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.39/0.67 (define @t2 () (= @t1 tptp.e3)) % 0.39/0.67 (define @t3 () (= @t1 tptp.e2)) % 0.39/0.67 (define @t4 () (= @t1 tptp.e1)) % 0.39/0.67 (define @t5 () (= @t1 tptp.e0)) % 0.39/0.67 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.39/0.67 (define @t7 () (= @t6 tptp.e3)) % 0.39/0.67 (define @t8 () (= @t6 tptp.e2)) % 0.39/0.67 (define @t9 () (= @t6 tptp.e1)) % 0.39/0.67 (define @t10 () (= @t6 tptp.e0)) % 0.39/0.67 (define @t11 () (tptp.op tptp.e3 tptp.e1)) % 0.39/0.67 (define @t12 () (= @t11 tptp.e3)) % 0.39/0.67 (define @t13 () (= @t11 tptp.e2)) % 0.39/0.67 (define @t14 () (= @t11 tptp.e1)) % 0.39/0.67 (define @t15 () (= @t11 tptp.e0)) % 0.39/0.67 (define @t16 () (tptp.op tptp.e3 tptp.e0)) % 0.39/0.67 (define @t17 () (= @t16 tptp.e3)) % 0.39/0.67 (define @t18 () (= @t16 tptp.e2)) % 0.39/0.67 (define @t19 () (= @t16 tptp.e1)) % 0.39/0.67 (define @t20 () (= @t16 tptp.e0)) % 0.39/0.67 (define @t21 () (tptp.op tptp.e2 tptp.e3)) % 0.39/0.67 (define @t22 () (= @t21 tptp.e3)) % 0.39/0.67 (define @t23 () (= @t21 tptp.e2)) % 0.39/0.67 (define @t24 () (= @t21 tptp.e1)) % 0.39/0.67 (define @t25 () (= @t21 tptp.e0)) % 0.39/0.67 (define @t26 () (tptp.op tptp.e2 tptp.e2)) % 0.39/0.67 (define @t27 () (= @t26 tptp.e3)) % 0.39/0.67 (define @t28 () (= @t26 tptp.e2)) % 0.39/0.67 (define @t29 () (= @t26 tptp.e1)) % 0.39/0.67 (define @t30 () (= @t26 tptp.e0)) % 0.39/0.67 (define @t31 () (tptp.op tptp.e2 tptp.e1)) % 0.39/0.67 (define @t32 () (= @t31 tptp.e3)) % 0.39/0.67 (define @t33 () (= @t31 tptp.e2)) % 0.39/0.67 (define @t34 () (= @t31 tptp.e1)) % 0.39/0.67 (define @t35 () (= @t31 tptp.e0)) % 0.39/0.67 (define @t36 () (tptp.op tptp.e2 tptp.e0)) % 0.39/0.67 (define @t37 () (= @t36 tptp.e3)) % 0.39/0.67 (define @t38 () (= @t36 tptp.e2)) % 0.39/0.67 (define @t39 () (= @t36 tptp.e1)) % 0.39/0.67 (define @t40 () (= @t36 tptp.e0)) % 0.39/0.67 (define @t41 () (tptp.op tptp.e1 tptp.e3)) % 0.39/0.67 (define @t42 () (= @t41 tptp.e3)) % 0.39/0.67 (define @t43 () (= @t41 tptp.e2)) % 0.39/0.67 (define @t44 () (= @t41 tptp.e1)) % 0.39/0.67 (define @t45 () (= @t41 tptp.e0)) % 0.39/0.67 (define @t46 () (tptp.op tptp.e1 tptp.e2)) % 0.39/0.67 (define @t47 () (= @t46 tptp.e3)) % 0.39/0.67 (define @t48 () (= @t46 tptp.e2)) % 0.39/0.67 (define @t49 () (= @t46 tptp.e1)) % 0.39/0.67 (define @t50 () (= @t46 tptp.e0)) % 0.39/0.67 (define @t51 () (tptp.op tptp.e1 tptp.e1)) % 0.39/0.67 (define @t52 () (= @t51 tptp.e3)) % 0.39/0.67 (define @t53 () (= @t51 tptp.e2)) % 0.39/0.67 (define @t54 () (= @t51 tptp.e1)) % 0.39/0.67 (define @t55 () (= @t51 tptp.e0)) % 0.39/0.67 (define @t56 () (tptp.op tptp.e1 tptp.e0)) % 0.39/0.67 (define @t57 () (= @t56 tptp.e3)) % 0.39/0.67 (define @t58 () (= @t56 tptp.e2)) % 0.39/0.67 (define @t59 () (= @t56 tptp.e1)) % 0.39/0.67 (define @t60 () (= @t56 tptp.e0)) % 0.39/0.67 (define @t61 () (tptp.op tptp.e0 tptp.e3)) % 0.39/0.67 (define @t62 () (= @t61 tptp.e3)) % 0.39/0.67 (define @t63 () (= @t61 tptp.e2)) % 0.39/0.67 (define @t64 () (= @t61 tptp.e1)) % 0.39/0.67 (define @t65 () (= @t61 tptp.e0)) % 0.39/0.67 (define @t66 () (or @t65 @t64 @t63 @t62)) % 0.39/0.67 (define @t67 () (tptp.op tptp.e0 tptp.e2)) % 0.39/0.67 (define @t68 () (= @t67 tptp.e3)) % 0.39/0.67 (define @t69 () (= @t67 tptp.e2)) % 0.39/0.67 (define @t70 () (= @t67 tptp.e1)) % 0.39/0.67 (define @t71 () (= @t67 tptp.e0)) % 0.39/0.67 (define @t72 () (or @t71 @t70 @t69 @t68)) % 0.39/0.67 (define @t73 () (tptp.op tptp.e0 tptp.e1)) % 0.39/0.67 (define @t74 () (= @t73 tptp.e3)) % 0.39/0.67 (define @t75 () (= @t73 tptp.e2)) % 0.39/0.67 (define @t76 () (= @t73 tptp.e1)) % 0.39/0.67 (define @t77 () (= @t73 tptp.e0)) % 0.39/0.67 (define @t78 () (or @t77 @t76 @t75 @t74)) % 0.39/0.67 (define @t79 () (tptp.op tptp.e0 tptp.e0)) % 0.39/0.67 (define @t80 () (= @t79 tptp.e3)) % 0.39/0.67 (define @t81 () (= @t79 tptp.e2)) % 0.39/0.67 (define @t82 () (= @t79 tptp.e1)) % 0.39/0.67 (define @t83 () (= @t79 tptp.e0)) % 0.39/0.67 (define @t84 () (or @t83 @t82 @t81 @t80)) % 0.39/0.67 (define @t85 () (or @t17 @t12 @t7 @t2)) % 0.39/0.67 (define @t86 () (or @t63 @t43 @t23 @t3)) % 0.39/0.67 (define @t87 () (or @t64 @t44 @t24 @t4)) % 0.39/0.67 (define @t88 () (or @t65 @t45 @t25 @t5)) % 0.39/0.67 (define @t89 () (or @t68 @t47 @t27 @t7)) % 0.39/0.67 (define @t90 () (or @t38 @t33 @t28 @t23)) % 0.39/0.67 (define @t91 () (or @t70 @t49 @t29 @t9)) % 0.39/0.67 (define @t92 () (or @t71 @t50 @t30 @t10)) % 0.39/0.67 (define @t93 () (or @t74 @t52 @t32 @t12)) % 0.39/0.67 (define @t94 () (or @t75 @t53 @t33 @t13)) % 0.39/0.67 (define @t95 () (or @t59 @t54 @t49 @t44)) % 0.39/0.67 (define @t96 () (or @t77 @t55 @t35 @t15)) % 0.39/0.67 (define @t97 () (or @t83 @t77 @t71 @t65)) % 0.39/0.67 (define @t98 () (= tptp.e2 tptp.e3)) % 0.39/0.67 (define @t99 () (not @t98)) % 0.39/0.67 (define @t100 () (= tptp.e1 tptp.e3)) % 0.39/0.67 (define @t101 () (not @t100)) % 0.39/0.67 (define @t102 () (= tptp.e1 tptp.e2)) % 0.39/0.67 (define @t103 () (not @t102)) % 0.39/0.67 (define @t104 () (= tptp.e0 tptp.e3)) % 0.39/0.67 (define @t105 () (not @t104)) % 0.39/0.67 (define @t106 () (= tptp.e0 tptp.e2)) % 0.39/0.67 (define @t107 () (not @t106)) % 0.39/0.67 (define @t108 () (= tptp.e0 tptp.e1)) % 0.39/0.67 (define @t109 () (not @t108)) % 0.39/0.67 (define @t110 () (not @t2)) % 0.39/0.67 (define @t111 () (or @t110 @t110)) % 0.39/0.67 (define @t112 () (not @t27)) % 0.39/0.67 (define @t113 () (not @t52)) % 0.39/0.67 (define @t114 () (not @t80)) % 0.39/0.67 (define @t115 () (not @t3)) % 0.39/0.67 (define @t116 () (not @t7)) % 0.39/0.67 (define @t117 () (not @t28)) % 0.39/0.67 (define @t118 () (not @t53)) % 0.39/0.67 (define @t119 () (or @t116 @t118)) % 0.39/0.67 (define @t120 () (not @t81)) % 0.39/0.67 (define @t121 () (or @t116 @t120)) % 0.39/0.67 (define @t122 () (not @t4)) % 0.39/0.67 (define @t123 () (not @t12)) % 0.39/0.67 (define @t124 () (not @t29)) % 0.39/0.67 (define @t125 () (or @t123 @t124)) % 0.39/0.67 (define @t126 () (not @t54)) % 0.39/0.67 (define @t127 () (not @t82)) % 0.39/0.67 (define @t128 () (or @t123 @t127)) % 0.39/0.67 (define @t129 () (not @t5)) % 0.39/0.67 (define @t130 () (not @t17)) % 0.39/0.67 (define @t131 () (not @t30)) % 0.39/0.67 (define @t132 () (or @t130 @t131)) % 0.39/0.67 (define @t133 () (not @t55)) % 0.39/0.67 (define @t134 () (or @t130 @t133)) % 0.39/0.67 (define @t135 () (not @t83)) % 0.39/0.67 (define @t136 () (not @t23)) % 0.39/0.67 (define @t137 () (or @t136 @t113)) % 0.39/0.67 (define @t138 () (or @t136 @t114)) % 0.39/0.67 (define @t139 () (or @t117 @t117)) % 0.39/0.67 (define @t140 () (not @t33)) % 0.39/0.67 (define @t141 () (or @t140 @t122)) % 0.39/0.67 (define @t142 () (or @t140 @t127)) % 0.39/0.67 (define @t143 () (not @t38)) % 0.39/0.67 (define @t144 () (or @t143 @t129)) % 0.39/0.67 (define @t145 () (or @t143 @t133)) % 0.39/0.67 (define @t146 () (not @t44)) % 0.39/0.67 (define @t147 () (or @t146 @t112)) % 0.39/0.67 (define @t148 () (or @t146 @t114)) % 0.39/0.67 (define @t149 () (not @t49)) % 0.39/0.67 (define @t150 () (or @t149 @t115)) % 0.39/0.67 (define @t151 () (or @t149 @t120)) % 0.39/0.67 (define @t152 () (or @t126 @t126)) % 0.39/0.67 (define @t153 () (not @t59)) % 0.39/0.67 (define @t154 () (or @t153 @t129)) % 0.39/0.67 (define @t155 () (or @t153 @t131)) % 0.39/0.67 (define @t156 () (not @t65)) % 0.39/0.67 (define @t157 () (or @t156 @t112)) % 0.39/0.67 (define @t158 () (or @t156 @t113)) % 0.39/0.67 (define @t159 () (or @t156 @t114)) % 0.39/0.67 (define @t160 () (not @t71)) % 0.39/0.67 (define @t161 () (or @t160 @t115)) % 0.39/0.67 (define @t162 () (or @t160 @t118)) % 0.39/0.67 (define @t163 () (or @t160 @t120)) % 0.39/0.67 (define @t164 () (not @t77)) % 0.39/0.67 (define @t165 () (or @t164 @t122)) % 0.39/0.67 (define @t166 () (or @t164 @t124)) % 0.39/0.67 (define @t167 () (or @t164 @t127)) % 0.39/0.67 (define @t168 () (or @t135 @t135)) % 0.39/0.67 (define @t169 () (tptp.op tptp.e3 @t1)) % 0.39/0.67 (define @t170 () (tptp.op @t169 @t1)) % 0.39/0.67 (define @t171 () (= tptp.e2 @t170)) % 0.39/0.67 (define @t172 () (= tptp.e1 @t1)) % 0.39/0.67 (define @t173 () (= tptp.e0 @t169)) % 0.39/0.67 (define @t174 () (tptp.op tptp.e2 @t26)) % 0.39/0.67 (define @t175 () (tptp.op @t174 @t26)) % 0.39/0.67 (define @t176 () (= tptp.e3 @t175)) % 0.39/0.67 (define @t177 () (= tptp.e1 @t26)) % 0.39/0.67 (define @t178 () (= tptp.e0 @t174)) % 0.39/0.67 (define @t179 () (= tptp.e1 @t170)) % 0.39/0.67 (define @t180 () (= tptp.e2 @t1)) % 0.39/0.67 (define @t181 () (tptp.op tptp.e1 @t51)) % 0.39/0.67 (define @t182 () (tptp.op @t181 @t51)) % 0.39/0.67 (define @t183 () (= tptp.e3 @t182)) % 0.39/0.67 (define @t184 () (= tptp.e2 @t51)) % 0.39/0.67 (define @t185 () (= tptp.e0 @t181)) % 0.39/0.67 (define @t186 () (= tptp.e1 @t175)) % 0.39/0.67 (define @t187 () (= tptp.e3 @t26)) % 0.39/0.67 (define @t188 () (= tptp.e2 @t182)) % 0.39/0.67 (define @t189 () (= tptp.e3 @t51)) % 0.39/0.67 (define @t190 () (= tptp.e0 @t1)) % 0.39/0.67 (define @t191 () (= tptp.e1 @t169)) % 0.39/0.67 (define @t192 () (= tptp.e0 @t26)) % 0.39/0.67 (define @t193 () (= tptp.e1 @t174)) % 0.39/0.67 (define @t194 () (= tptp.e0 @t170)) % 0.39/0.67 (define @t195 () (tptp.op tptp.e0 @t79)) % 0.39/0.67 (define @t196 () (tptp.op @t195 @t79)) % 0.39/0.67 (define @t197 () (= tptp.e3 @t196)) % 0.39/0.67 (define @t198 () (= tptp.e2 @t79)) % 0.39/0.67 (define @t199 () (= tptp.e1 @t195)) % 0.39/0.67 (define @t200 () (= tptp.e0 @t175)) % 0.39/0.67 (define @t201 () (= tptp.e2 @t196)) % 0.39/0.67 (define @t202 () (= tptp.e3 @t79)) % 0.39/0.67 (define @t203 () (= tptp.e2 @t169)) % 0.39/0.67 (define @t204 () (= tptp.e0 @t51)) % 0.39/0.67 (define @t205 () (= tptp.e2 @t181)) % 0.39/0.67 (define @t206 () (= tptp.e1 @t79)) % 0.39/0.67 (define @t207 () (= tptp.e2 @t195)) % 0.39/0.67 (define @t208 () (= tptp.e0 @t182)) % 0.39/0.67 (define @t209 () (= tptp.e1 @t196)) % 0.39/0.67 (define @t210 () (= tptp.e3 @t174)) % 0.39/0.67 (define @t211 () (= tptp.e3 @t181)) % 0.39/0.67 (define @t212 () (= tptp.e3 @t195)) % 0.39/0.67 (define @t213 () (= tptp.e3 @t67)) % 0.39/0.67 (define @t214 () (not @t213)) % 0.39/0.67 (define @t215 () (not @t198)) % 0.39/0.67 (define @t216 () (not @t212)) % 0.39/0.67 (define @t217 () (not @t216)) % 0.39/0.67 (define @t218 () (and @t198 @t216)) % 0.39/0.67 (define @t219 () (= tptp.e2 @t67)) % 0.39/0.67 (define @t220 () (not @t219)) % 0.39/0.67 (define @t221 () (not @t207)) % 0.39/0.67 (define @t222 () (not @t221)) % 0.39/0.67 (define @t223 () (and @t198 @t221)) % 0.39/0.67 (define @t224 () (= tptp.e1 @t67)) % 0.39/0.67 (define @t225 () (not @t224)) % 0.39/0.67 (define @t226 () (not @t199)) % 0.39/0.67 (define @t227 () (not @t226)) % 0.39/0.67 (define @t228 () (and @t198 @t226)) % 0.39/0.67 (define @t229 () (= tptp.e0 @t67)) % 0.39/0.67 (define @t230 () (= tptp.e0 @t79)) % 0.39/0.67 (define @t231 () (= tptp.e3 @t61)) % 0.39/0.67 (define @t232 () (not @t231)) % 0.39/0.67 (define @t233 () (not @t202)) % 0.39/0.67 (define @t234 () (and @t202 @t216)) % 0.39/0.67 (define @t235 () (= tptp.e2 @t61)) % 0.39/0.67 (define @t236 () (not @t235)) % 0.39/0.67 (define @t237 () (and @t202 @t221)) % 0.39/0.67 (define @t238 () (= tptp.e1 @t61)) % 0.39/0.67 (define @t239 () (not @t238)) % 0.39/0.67 (define @t240 () (and @t202 @t226)) % 0.39/0.67 (define @t241 () (= tptp.e0 @t61)) % 0.39/0.67 (define @t242 () (= tptp.e1 @t41)) % 0.39/0.67 (define @t243 () (not @t242)) % 0.39/0.67 (define @t244 () (= tptp.e2 @t21)) % 0.39/0.67 (define @t245 () (not @t244)) % 0.39/0.67 (define @t246 () (not @t201)) % 0.39/0.67 (define @t247 () (= @t61 @t67)) % 0.39/0.67 (define @t248 () (not @t247)) % 0.39/0.67 (define @t249 () (and @t248 @t238)) % 0.39/0.67 (define @t250 () (= tptp.e2 @t41)) % 0.39/0.67 (define @t251 () (not @t250)) % 0.39/0.67 (define @t252 () (not @t246)) % 0.39/0.67 (define @t253 () (and @t199 @t202 @t246)) % 0.39/0.67 (define @t254 () (= tptp.e1 @t46)) % 0.39/0.67 (define @t255 () (not @t254)) % 0.39/0.67 (define @t256 () (not @t180)) % 0.39/0.67 (define @t257 () (= tptp.e1 @t56)) % 0.39/0.67 (define @t258 () (not @t257)) % 0.39/0.67 (define @t259 () (not @t192)) % 0.39/0.67 (define @t260 () (= tptp.e1 @t6)) % 0.39/0.67 (define @t261 () (= tptp.e0 @t6)) % 0.39/0.67 (define @t262 () (not @t261)) % 0.39/0.67 (define @t263 () (not @t260)) % 0.39/0.67 (define @t264 () (not @t109)) % 0.39/0.67 (define @t265 () (and @t109 @t260)) % 0.39/0.67 (define @t266 () (and @t180 @t260)) % 0.39/0.67 (define @t267 () (= tptp.e0 @t46)) % 0.39/0.67 (define @t268 () (not @t194)) % 0.39/0.67 (define @t269 () (and @t180 @t267 @t260)) % 0.39/0.67 (define @t270 () (not @t267)) % 0.39/0.67 (define @t271 () (= tptp.e0 @t73)) % 0.39/0.67 (define @t272 () (= tptp.e1 @t51)) % 0.39/0.67 (define @t273 () (= tptp.e3 @t6)) % 0.39/0.67 (define @t274 () (not @t273)) % 0.39/0.67 (define @t275 () (not @t197)) % 0.39/0.67 (define @t276 () (= tptp.e3 @t46)) % 0.39/0.67 (define @t277 () (not @t276)) % 0.39/0.67 (define @t278 () (not @t275)) % 0.39/0.67 (define @t279 () (and @t199 @t198 @t275)) % 0.39/0.67 (define @t280 () (not @t187)) % 0.39/0.67 (define @t281 () (not @t190)) % 0.39/0.67 (define @t282 () (= tptp.e1 @t21)) % 0.39/0.67 (define @t283 () (= tptp.e0 @t21)) % 0.39/0.67 (define @t284 () (not @t283)) % 0.39/0.67 (define @t285 () (not @t282)) % 0.39/0.67 (define @t286 () (and @t109 @t282)) % 0.39/0.67 (define @t287 () (and @t187 @t282)) % 0.39/0.67 (define @t288 () (= tptp.e0 @t41)) % 0.39/0.67 (define @t289 () (not @t200)) % 0.39/0.67 (define @t290 () (and @t187 @t288 @t282)) % 0.39/0.67 (define @t291 () (not @t288)) % 0.39/0.67 (define @t292 () (and @t103 @t207)) % 0.39/0.67 (define @t293 () (= @t67 @t79)) % 0.39/0.67 (define @t294 () (not @t293)) % 0.39/0.67 (define @t295 () (= false true)) % 0.39/0.67 (define @t296 () (and @t207 @t219 @t198 @t294)) % 0.39/0.67 (define @t297 () (not @t209)) % 0.39/0.67 (define @t298 () (= tptp.e2 @t73)) % 0.39/0.67 (define @t299 () (not @t298)) % 0.39/0.67 (define @t300 () (= @t61 @t73)) % 0.39/0.67 (define @t301 () (not @t300)) % 0.39/0.67 (define @t302 () (and @t301 @t235)) % 0.39/0.67 (define @t303 () (not @t297)) % 0.39/0.67 (define @t304 () (and @t202 @t207 @t297)) % 0.39/0.67 (define @t305 () (= tptp.e2 @t31)) % 0.39/0.67 (define @t306 () (not @t305)) % 0.39/0.67 (define @t307 () (not @t172)) % 0.39/0.67 (define @t308 () (= tptp.e2 @t36)) % 0.39/0.67 (define @t309 () (not @t308)) % 0.39/0.67 (define @t310 () (not @t204)) % 0.39/0.67 (define @t311 () (= tptp.e2 @t11)) % 0.39/0.67 (define @t312 () (= tptp.e0 @t11)) % 0.39/0.67 (define @t313 () (not @t312)) % 0.39/0.67 (define @t314 () (not @t311)) % 0.39/0.67 (define @t315 () (not @t107)) % 0.39/0.67 (define @t316 () (and @t107 @t311)) % 0.39/0.67 (define @t317 () (and @t172 @t311)) % 0.39/0.67 (define @t318 () (= tptp.e0 @t31)) % 0.39/0.67 (define @t319 () (and @t172 @t318 @t311)) % 0.39/0.67 (define @t320 () (not @t318)) % 0.39/0.67 (define @t321 () (= tptp.e2 @t26)) % 0.39/0.67 (define @t322 () (and @t101 @t212)) % 0.39/0.67 (define @t323 () (not @t99)) % 0.39/0.67 (define @t324 () (and @t99 @t212)) % 0.39/0.67 (define @t325 () (= @t61 @t79)) % 0.39/0.67 (define @t326 () (not @t325)) % 0.39/0.67 (define @t327 () (and @t212 @t231 @t202 @t326)) % 0.39/0.67 (define @t328 () (and @t198 @t219)) % 0.39/0.67 (define @t329 () (= tptp.e3 @t73)) % 0.39/0.67 (define @t330 () (not @t329)) % 0.39/0.67 (define @t331 () (= @t67 @t73)) % 0.39/0.67 (define @t332 () (not @t331)) % 0.39/0.67 (define @t333 () (and @t332 @t213)) % 0.39/0.67 (define @t334 () (and @t198 @t212 @t297)) % 0.39/0.67 (define @t335 () (= tptp.e3 @t11)) % 0.39/0.67 (define @t336 () (not @t335)) % 0.39/0.67 (define @t337 () (not @t177)) % 0.39/0.67 (define @t338 () (= tptp.e3 @t16)) % 0.39/0.67 (define @t339 () (not @t338)) % 0.39/0.67 (define @t340 () (= tptp.e3 @t31)) % 0.39/0.67 (define @t341 () (not @t340)) % 0.39/0.67 (define @t342 () (not @t105)) % 0.39/0.67 (define @t343 () (and @t105 @t340)) % 0.39/0.67 (define @t344 () (and @t177 @t340)) % 0.39/0.67 (define @t345 () (and @t177 @t340 @t312)) % 0.39/0.67 (define @t346 () (= tptp.e3 @t1)) % 0.39/0.67 (define @t347 () (not @t206)) % 0.39/0.67 (define @t348 () (and @t206 @t212)) % 0.39/0.67 (define @t349 () (and @t99 @t206 @t212)) % 0.39/0.67 (define @t350 () (and @t206 @t212 @t246)) % 0.39/0.67 (define @t351 () (@list false)) % 0.39/0.67 (define @t352 () (@list @t206)) % 0.39/0.67 (define @t353 () (not @t184)) % 0.39/0.67 (define @t354 () (and @t105 @t276)) % 0.39/0.67 (define @t355 () (and @t184 @t276)) % 0.39/0.67 (define @t356 () (not @t208)) % 0.39/0.67 (define @t357 () (and @t184 @t212 @t276 @t261)) % 0.39/0.67 (define @t358 () (and @t206 @t216)) % 0.39/0.67 (define @t359 () (@list true false)) % 0.39/0.67 (define @t360 () (= tptp.e1 @t73)) % 0.39/0.67 (define @t361 () (not @t360)) % 0.39/0.67 (define @t362 () (= @t73 @t79)) % 0.39/0.67 (define @t363 () (not @t362)) % 0.39/0.67 (define @t364 () (and @t206 @t360 @t363)) % 0.39/0.67 (define @t365 () (@list true true true)) % 0.39/0.67 (define @t366 () (and @t206 @t298)) % 0.39/0.67 (define @t367 () (@list false false)) % 0.39/0.67 (define @t368 () (and @t206 @t298 @t275)) % 0.39/0.67 (define @t369 () (not @t189)) % 0.39/0.67 (define @t370 () (@list @t189)) % 0.39/0.67 (define @t371 () (and @t107 @t250)) % 0.39/0.67 (define @t372 () (and @t189 @t250)) % 0.39/0.67 (define @t373 () (and @t189 @t206 @t298 @t250 @t283)) % 0.39/0.67 (assume @p1 (and @t84 @t78 @t72 @t66 (or @t60 @t59 @t58 @t57) (or @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47) (or @t45 @t44 @t43 @t42) (or @t40 @t39 @t38 @t37) (or @t35 @t34 @t33 @t32) (or @t30 @t29 @t28 @t27) (or @t25 @t24 @t23 @t22) (or @t20 @t19 @t18 @t17) (or @t15 @t14 @t13 @t12) (or @t10 @t9 @t8 @t7) (or @t5 @t4 @t3 @t2))) % 0.39/0.67 (assume @p2 (and @t97 (or @t83 @t60 @t40 @t20) (or @t82 @t76 @t70 @t64) (or @t82 @t59 @t39 @t19) (or @t81 @t75 @t69 @t63) (or @t81 @t58 @t38 @t18) (or @t80 @t74 @t68 @t62) (or @t80 @t57 @t37 @t17) (or @t60 @t55 @t50 @t45) @t96 @t95 (or @t76 @t54 @t34 @t14) (or @t58 @t53 @t48 @t43) @t94 (or @t57 @t52 @t47 @t42) @t93 (or @t40 @t35 @t30 @t25) @t92 (or @t39 @t34 @t29 @t24) @t91 @t90 (or @t69 @t48 @t28 @t8) (or @t37 @t32 @t27 @t22) @t89 (or @t20 @t15 @t10 @t5) @t88 (or @t19 @t14 @t9 @t4) @t87 (or @t18 @t13 @t8 @t3) @t86 @t85 (or @t62 @t42 @t22 @t2))) % 0.39/0.67 (assume @p3 (and (not (= @t79 @t56)) (not (= @t79 @t36)) (not (= @t79 @t16)) (not (= @t56 @t36)) (not (= @t56 @t16)) (not (= @t36 @t16)) (not (= @t73 @t51)) (not (= @t73 @t31)) (not (= @t73 @t11)) (not (= @t51 @t31)) (not (= @t51 @t11)) (not (= @t31 @t11)) (not (= @t67 @t46)) (not (= @t67 @t26)) (not (= @t67 @t6)) (not (= @t46 @t26)) (not (= @t46 @t6)) (not (= @t26 @t6)) (not (= @t61 @t41)) (not (= @t61 @t21)) (not (= @t61 @t1)) (not (= @t41 @t21)) (not (= @t41 @t1)) (not (= @t21 @t1)) (not (= @t79 @t73)) (not (= @t79 @t67)) (not (= @t79 @t61)) (not (= @t73 @t67)) (not (= @t73 @t61)) (not (= @t67 @t61)) (not (= @t56 @t51)) (not (= @t56 @t46)) (not (= @t56 @t41)) (not (= @t51 @t46)) (not (= @t51 @t41)) (not (= @t46 @t41)) (not (= @t36 @t31)) (not (= @t36 @t26)) (not (= @t36 @t21)) (not (= @t31 @t26)) (not (= @t31 @t21)) (not (= @t26 @t21)) (not (= @t16 @t11)) (not (= @t16 @t6)) (not (= @t16 @t1)) (not (= @t11 @t6)) (not (= @t11 @t1)) (not (= @t6 @t1)))) % 0.39/0.67 (assume @p4 (and @t109 @t107 @t105 @t103 @t101 @t99)) % 0.39/0.67 (assume @p5 (and @t168 (or @t135 @t133) (or @t135 @t131) (or @t135 @t129) @t167 (or @t164 @t126) @t166 @t165 @t163 @t162 (or @t160 @t117) @t161 @t159 @t158 @t157 (or @t156 @t110) (or @t153 @t135) (or @t153 @t133) @t155 @t154 (or @t126 @t127) @t152 (or @t126 @t124) (or @t126 @t122) @t151 (or @t149 @t118) (or @t149 @t117) @t150 @t148 (or @t146 @t113) @t147 (or @t146 @t110) (or @t143 @t135) @t145 (or @t143 @t131) @t144 @t142 (or @t140 @t126) (or @t140 @t124) @t141 (or @t117 @t120) (or @t117 @t118) @t139 (or @t117 @t115) @t138 @t137 (or @t136 @t112) (or @t136 @t110) (or @t130 @t135) @t134 @t132 (or @t130 @t129) @t128 (or @t123 @t126) @t125 (or @t123 @t122) @t121 @t119 (or @t116 @t117) (or @t116 @t115) (or @t110 @t114) (or @t110 @t113) (or @t110 @t112) @t111)) % 0.39/0.67 (assume @p6 (not (and @t173 @t172 @t171))) % 0.39/0.67 (assume @p7 (not (and @t178 @t177 @t176))) % 0.39/0.67 (assume @p8 (not (and @t173 @t180 @t179))) % 0.39/0.67 (assume @p9 (not (and @t185 @t184 @t183))) % 0.39/0.67 (assume @p10 (not (and @t178 @t187 @t186))) % 0.39/0.67 (assume @p11 (not (and @t185 @t189 @t188))) % 0.39/0.67 (assume @p12 (not (and @t191 @t190 @t171))) % 0.39/0.67 (assume @p13 (not (and @t193 @t192 @t176))) % 0.39/0.67 (assume @p14 (not (and @t191 @t180 @t194))) % 0.39/0.67 (assume @p15 (not (and @t199 @t198 @t197))) % 0.39/0.67 (assume @p16 (not (and @t193 @t187 @t200))) % 0.39/0.67 (assume @p17 (not (and @t199 @t202 @t201))) % 0.39/0.67 (assume @p18 (not (and @t203 @t190 @t179))) % 0.39/0.67 (assume @p19 (not (and @t205 @t204 @t183))) % 0.39/0.67 (assume @p20 (not (and @t203 @t172 @t194))) % 0.39/0.67 (assume @p21 (not (and @t207 @t206 @t197))) % 0.39/0.67 (assume @p22 (not (and @t205 @t189 @t208))) % 0.39/0.67 (assume @p23 (not (and @t207 @t202 @t209))) % 0.39/0.67 (assume @p24 (not (and @t210 @t192 @t186))) % 0.39/0.67 (assume @p25 (not (and @t211 @t204 @t188))) % 0.39/0.67 (assume @p26 (not (and @t210 @t177 @t200))) % 0.39/0.67 (assume @p27 (not (and @t212 @t206 @t201))) % 0.39/0.67 (assume @p28 (not (and @t211 @t184 @t208))) % 0.39/0.67 (assume @p29 (not (and @t212 @t198 @t209))) % 0.39/0.67 (step @p30 :rule eq-symm :args (@t79 tptp.e2)) % 0.39/0.67 (step @p31 :rule cong :premises (@p30) :args (@t120)) % 0.39/0.67 (step @p32 :rule eq-symm :args (@t67 tptp.e0)) % 0.39/0.67 (step @p33 :rule cong :premises (@p32) :args (@t160)) % 0.39/0.67 (step @p34 :rule nary_cong :premises (@p33 @p31) :args (@t163)) % 0.39/0.67 (step @p35 :rule and_elim :premises (@p5) :args (8)) % 0.39/0.67 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.39/0.67 (step @p37 :rule refl :args (@t214)) % 0.39/0.67 (step @p38 :rule bool-double-not-elim :args (@t212)) % 0.39/0.67 (step @p39 :rule refl :args (@t215)) % 0.39/0.67 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args ((or @t215 @t217 @t214))) % 0.39/0.67 (assume-push @p1460 @t198) % 0.39/0.67 (assume-push @p1461 @t216) % 0.39/0.67 (assume-push @p1462 @t216) % 0.39/0.67 (assume-push @p1463 @t198) % 0.39/0.67 (step @p45 :rule false_intro :premises (@p1461)) % 0.39/0.67 (step @p46 :rule refl :args (tptp.e0)) % 0.39/0.67 (step @p47 :rule cong :premises (@p46 @p1460) :args (@t67)) % 0.39/0.67 (step @p48 :rule refl :args (tptp.e3)) % 0.39/0.67 (step @p49 :rule cong :premises (@p48 @p47) :args (@t213)) % 0.39/0.67 (step @p50 :rule trans :premises (@p49 @p45)) % 0.39/0.67 (step @p51 :rule false_elim :premises (@p50)) % 0.39/0.67 (step-pop @p1464 :rule scope :premises (@p51)) % 0.39/0.67 (step-pop @p1465 :rule scope :premises (@p1464)) % 0.39/0.67 (step @p52 :rule process_scope :premises (@p1465) :args (@t214)) % 0.39/0.67 (step @p55 :rule and_intro :premises (@p1461 @p1460)) % 0.39/0.67 (step @p56 :rule modus_ponens :premises (@p55 @p52)) % 0.39/0.67 (step-pop @p1466 :rule scope :premises (@p56)) % 0.39/0.67 (step-pop @p1467 :rule scope :premises (@p1466)) % 0.39/0.67 (step @p57 :rule process_scope :premises (@p1467) :args (@t214)) % 0.39/0.67 (step @p60 :rule implies_elim :premises (@p57)) % 0.39/0.67 (step @p61 :rule cnf_and_neg :args (@t218)) % 0.39/0.67 (step @p62 :rule resolution :premises (@p61 @p60) :args (true @t218)) % 0.39/0.67 (step @p63 :rule eq_resolve :premises (@p62 @p40)) % 0.39/0.67 (step @p64 :rule reordering :premises (@p63) :args ((or @t212 @t215 @t214))) % 0.39/0.67 (step @p65 :rule refl :args (@t220)) % 0.39/0.67 (step @p66 :rule bool-double-not-elim :args (@t207)) % 0.39/0.67 (step @p67 :rule nary_cong :premises (@p39 @p66 @p65) :args ((or @t215 @t222 @t220))) % 0.39/0.67 (assume-push @p1468 @t198) % 0.39/0.67 (assume-push @p1469 @t221) % 0.39/0.67 (assume-push @p1470 @t221) % 0.39/0.67 (assume-push @p1471 @t198) % 0.39/0.67 (step @p72 :rule false_intro :premises (@p1469)) % 0.39/0.67 (step @p46 :rule refl :args (tptp.e0)) % 0.39/0.67 (step @p73 :rule cong :premises (@p46 @p1468) :args (@t67)) % 0.39/0.67 (step @p74 :rule refl :args (tptp.e2)) % 0.39/0.67 (step @p75 :rule cong :premises (@p74 @p73) :args (@t219)) % 0.39/0.67 (step @p76 :rule trans :premises (@p75 @p72)) % 0.39/0.67 (step @p77 :rule false_elim :premises (@p76)) % 0.39/0.67 (step-pop @p1472 :rule scope :premises (@p77)) % 0.39/0.67 (step-pop @p1473 :rule scope :premises (@p1472)) % 0.39/0.67 (step @p78 :rule process_scope :premises (@p1473) :args (@t220)) % 0.39/0.67 (step @p81 :rule and_intro :premises (@p1469 @p1468)) % 0.39/0.67 (step @p82 :rule modus_ponens :premises (@p81 @p78)) % 0.39/0.67 (step-pop @p1474 :rule scope :premises (@p82)) % 0.39/0.67 (step-pop @p1475 :rule scope :premises (@p1474)) % 0.39/0.67 (step @p83 :rule process_scope :premises (@p1475) :args (@t220)) % 0.39/0.67 (step @p86 :rule implies_elim :premises (@p83)) % 0.39/0.67 (step @p87 :rule cnf_and_neg :args (@t223)) % 0.39/0.67 (step @p88 :rule resolution :premises (@p87 @p86) :args (true @t223)) % 0.39/0.67 (step @p89 :rule eq_resolve :premises (@p88 @p67)) % 0.39/0.67 (step @p90 :rule reordering :premises (@p89) :args ((or @t207 @t215 @t220))) % 0.39/0.67 (step @p91 :rule refl :args (@t225)) % 0.39/0.67 (step @p92 :rule bool-double-not-elim :args (@t199)) % 0.39/0.67 (step @p93 :rule nary_cong :premises (@p39 @p92 @p91) :args ((or @t215 @t227 @t225))) % 0.39/0.67 (assume-push @p1476 @t198) % 0.39/0.67 (assume-push @p1477 @t226) % 0.39/0.67 (assume-push @p1478 @t226) % 0.39/0.67 (assume-push @p1479 @t198) % 0.39/0.67 (step @p98 :rule false_intro :premises (@p1477)) % 0.39/0.67 (step @p46 :rule refl :args (tptp.e0)) % 0.39/0.67 (step @p99 :rule cong :premises (@p46 @p1476) :args (@t67)) % 0.39/0.67 (step @p100 :rule refl :args (tptp.e1)) % 0.39/0.67 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(assume-push @p1879 @t206) % 0.39/0.67 (assume-push @p1880 @t298) % 0.39/0.67 (assume-push @p1881 @t250) % 0.39/0.67 (assume-push @p1882 @t283) % 0.39/0.67 (assume-push @p1883 @t189) % 0.39/0.67 (assume-push @p1884 @t250) % 0.39/0.67 (assume-push @p1885 @t298) % 0.39/0.67 (assume-push @p1886 @t206) % 0.39/0.67 (assume-push @p1887 @t283) % 0.39/0.67 (step @p100 :rule refl :args (tptp.e1)) % 0.39/0.67 (step @p1431 :rule cong :premises (@p100 @p1878) :args (@t41)) % 0.39/0.67 (step @p1432 :rule symm :premises (@p1880)) % 0.39/0.67 (step @p1433 :rule symm :premises (@p1879)) % 0.39/0.67 (step @p46 :rule refl :args (tptp.e0)) % 0.39/0.67 (step @p1434 :rule cong :premises (@p46 @p1433) :args (@t195)) % 0.39/0.67 (step @p1435 :rule trans :premises (@p1434 @p1432 @p1881 @p1431)) % 0.39/0.67 (step @p1436 :rule symm :premises (@p1434)) % 0.39/0.67 (step @p1437 :rule trans :premises (@p1880 @p1436)) % 0.39/0.67 (step @p1438 :rule trans :premises (@p1437 @p1435)) % 0.39/0.67 (step @p1439 :rule 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