%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG170+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:05:24 AM UTC 2026 % Result : Theorem 0.36s 0.66s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG170+1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:40:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.66 % SZS status Theorem % 0.36/0.66 % SZS output start Proof % 0.36/0.66 ( % 0.36/0.66 (declare-sort $$unsorted 0) % 0.36/0.66 (declare-const tptp.e0 $$unsorted) % 0.36/0.66 (declare-const tptp.e1 $$unsorted) % 0.36/0.66 (declare-const tptp.e2 $$unsorted) % 0.36/0.66 (declare-const tptp.e3 $$unsorted) % 0.36/0.66 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.e4 $$unsorted) % 0.36/0.66 (define @t1 () (tptp.op tptp.e4 tptp.e4)) % 0.36/0.66 (define @t2 () (= @t1 tptp.e4)) % 0.36/0.66 (define @t3 () (= @t1 tptp.e3)) % 0.36/0.66 (define @t4 () (= @t1 tptp.e2)) % 0.36/0.66 (define @t5 () (= @t1 tptp.e1)) % 0.36/0.66 (define @t6 () (= @t1 tptp.e0)) % 0.36/0.66 (define @t7 () (tptp.op tptp.e4 tptp.e3)) % 0.36/0.66 (define @t8 () (= @t7 tptp.e4)) % 0.36/0.66 (define @t9 () (= @t7 tptp.e3)) % 0.36/0.66 (define @t10 () (= @t7 tptp.e2)) % 0.36/0.66 (define @t11 () (= @t7 tptp.e1)) % 0.36/0.66 (define @t12 () (= @t7 tptp.e0)) % 0.36/0.66 (define @t13 () (tptp.op tptp.e4 tptp.e2)) % 0.36/0.66 (define @t14 () (= @t13 tptp.e4)) % 0.36/0.66 (define @t15 () (= @t13 tptp.e3)) % 0.36/0.66 (define @t16 () (= @t13 tptp.e2)) % 0.36/0.66 (define @t17 () (= @t13 tptp.e1)) % 0.36/0.66 (define @t18 () (= @t13 tptp.e0)) % 0.36/0.66 (define @t19 () (or @t18 @t17 @t16 @t15 @t14)) % 0.36/0.66 (define @t20 () (tptp.op tptp.e4 tptp.e1)) % 0.36/0.66 (define @t21 () (= @t20 tptp.e4)) % 0.36/0.66 (define @t22 () (= @t20 tptp.e3)) % 0.36/0.66 (define @t23 () (= @t20 tptp.e2)) % 0.36/0.66 (define @t24 () (= @t20 tptp.e1)) % 0.36/0.66 (define @t25 () (= @t20 tptp.e0)) % 0.36/0.66 (define @t26 () (tptp.op tptp.e4 tptp.e0)) % 0.36/0.66 (define @t27 () (= @t26 tptp.e4)) % 0.36/0.66 (define @t28 () (= @t26 tptp.e3)) % 0.36/0.66 (define @t29 () (= @t26 tptp.e2)) % 0.36/0.66 (define @t30 () (= @t26 tptp.e1)) % 0.36/0.66 (define @t31 () (= @t26 tptp.e0)) % 0.36/0.66 (define @t32 () (or @t31 @t30 @t29 @t28 @t27)) % 0.36/0.66 (define @t33 () (tptp.op tptp.e3 tptp.e4)) % 0.36/0.66 (define @t34 () (= @t33 tptp.e4)) % 0.36/0.66 (define @t35 () (= @t33 tptp.e3)) % 0.36/0.66 (define @t36 () (= @t33 tptp.e2)) % 0.36/0.66 (define @t37 () (= @t33 tptp.e1)) % 0.36/0.66 (define @t38 () (= @t33 tptp.e0)) % 0.36/0.66 (define @t39 () (tptp.op tptp.e3 tptp.e3)) % 0.36/0.66 (define @t40 () (= @t39 tptp.e4)) % 0.36/0.66 (define @t41 () (= @t39 tptp.e3)) % 0.36/0.66 (define @t42 () (= @t39 tptp.e2)) % 0.36/0.66 (define @t43 () (= @t39 tptp.e1)) % 0.36/0.66 (define @t44 () (= @t39 tptp.e0)) % 0.36/0.66 (define @t45 () (tptp.op tptp.e3 tptp.e2)) % 0.36/0.66 (define @t46 () (= @t45 tptp.e4)) % 0.36/0.66 (define @t47 () (= @t45 tptp.e3)) % 0.36/0.66 (define @t48 () (= @t45 tptp.e2)) % 0.36/0.66 (define @t49 () (= @t45 tptp.e1)) % 0.36/0.66 (define @t50 () (= @t45 tptp.e0)) % 0.36/0.66 (define @t51 () (tptp.op tptp.e3 tptp.e1)) % 0.36/0.66 (define @t52 () (= @t51 tptp.e4)) % 0.36/0.66 (define @t53 () (= @t51 tptp.e3)) % 0.36/0.66 (define @t54 () (= @t51 tptp.e2)) % 0.36/0.66 (define @t55 () (= @t51 tptp.e1)) % 0.36/0.66 (define @t56 () (= @t51 tptp.e0)) % 0.36/0.66 (define @t57 () (tptp.op tptp.e3 tptp.e0)) % 0.36/0.66 (define @t58 () (= @t57 tptp.e4)) % 0.36/0.66 (define @t59 () (= @t57 tptp.e3)) % 0.36/0.66 (define @t60 () (= @t57 tptp.e2)) % 0.36/0.66 (define @t61 () (= @t57 tptp.e1)) % 0.36/0.66 (define @t62 () (= @t57 tptp.e0)) % 0.36/0.66 (define @t63 () (tptp.op tptp.e2 tptp.e4)) % 0.36/0.66 (define @t64 () (= @t63 tptp.e4)) % 0.36/0.66 (define @t65 () (= @t63 tptp.e3)) % 0.36/0.66 (define @t66 () (= @t63 tptp.e2)) % 0.36/0.66 (define @t67 () (= @t63 tptp.e1)) % 0.36/0.66 (define @t68 () (= @t63 tptp.e0)) % 0.36/0.66 (define @t69 () (tptp.op tptp.e2 tptp.e3)) % 0.36/0.66 (define @t70 () (= @t69 tptp.e4)) % 0.36/0.66 (define @t71 () (= @t69 tptp.e3)) % 0.36/0.66 (define @t72 () (= @t69 tptp.e2)) % 0.36/0.66 (define @t73 () (= @t69 tptp.e1)) % 0.36/0.66 (define @t74 () (= @t69 tptp.e0)) % 0.36/0.66 (define @t75 () (tptp.op tptp.e2 tptp.e2)) % 0.36/0.66 (define @t76 () (= @t75 tptp.e4)) % 0.36/0.66 (define @t77 () (= @t75 tptp.e3)) % 0.36/0.66 (define @t78 () (= @t75 tptp.e2)) % 0.36/0.66 (define @t79 () (= @t75 tptp.e1)) % 0.36/0.66 (define @t80 () (= @t75 tptp.e0)) % 0.36/0.66 (define @t81 () (tptp.op tptp.e2 tptp.e1)) % 0.36/0.66 (define @t82 () (= @t81 tptp.e4)) % 0.36/0.66 (define @t83 () (= @t81 tptp.e3)) % 0.36/0.66 (define @t84 () (= @t81 tptp.e2)) % 0.36/0.66 (define @t85 () (= @t81 tptp.e1)) % 0.36/0.66 (define @t86 () (= @t81 tptp.e0)) % 0.36/0.66 (define @t87 () (tptp.op tptp.e2 tptp.e0)) % 0.36/0.66 (define @t88 () (= @t87 tptp.e4)) % 0.36/0.66 (define @t89 () (= @t87 tptp.e3)) % 0.36/0.66 (define @t90 () (= @t87 tptp.e2)) % 0.36/0.66 (define @t91 () (= @t87 tptp.e1)) % 0.36/0.66 (define @t92 () (= @t87 tptp.e0)) % 0.36/0.66 (define @t93 () (tptp.op tptp.e1 tptp.e4)) % 0.36/0.66 (define @t94 () (= @t93 tptp.e4)) % 0.36/0.66 (define @t95 () (= @t93 tptp.e3)) % 0.36/0.66 (define @t96 () (= @t93 tptp.e2)) % 0.36/0.66 (define @t97 () (= @t93 tptp.e1)) % 0.36/0.66 (define @t98 () (= @t93 tptp.e0)) % 0.36/0.66 (define @t99 () (tptp.op tptp.e1 tptp.e3)) % 0.36/0.66 (define @t100 () (= @t99 tptp.e4)) % 0.36/0.66 (define @t101 () (= @t99 tptp.e3)) % 0.36/0.66 (define @t102 () (= @t99 tptp.e2)) % 0.36/0.66 (define @t103 () (= @t99 tptp.e1)) % 0.36/0.66 (define @t104 () (= @t99 tptp.e0)) % 0.36/0.66 (define @t105 () (tptp.op tptp.e1 tptp.e2)) % 0.36/0.66 (define @t106 () (= @t105 tptp.e4)) % 0.36/0.66 (define @t107 () (= @t105 tptp.e3)) % 0.36/0.66 (define @t108 () (= @t105 tptp.e2)) % 0.36/0.66 (define @t109 () (= @t105 tptp.e1)) % 0.36/0.66 (define @t110 () (= @t105 tptp.e0)) % 0.36/0.66 (define @t111 () (tptp.op tptp.e1 tptp.e1)) % 0.36/0.66 (define @t112 () (= @t111 tptp.e4)) % 0.36/0.66 (define @t113 () (= @t111 tptp.e3)) % 0.36/0.66 (define @t114 () (= @t111 tptp.e2)) % 0.36/0.66 (define @t115 () (= @t111 tptp.e1)) % 0.36/0.66 (define @t116 () (= @t111 tptp.e0)) % 0.36/0.66 (define @t117 () (tptp.op tptp.e1 tptp.e0)) % 0.36/0.66 (define @t118 () (= @t117 tptp.e4)) % 0.36/0.66 (define @t119 () (= @t117 tptp.e3)) % 0.36/0.66 (define @t120 () (= @t117 tptp.e2)) % 0.36/0.66 (define @t121 () (= @t117 tptp.e1)) % 0.36/0.66 (define @t122 () (= @t117 tptp.e0)) % 0.36/0.66 (define @t123 () (or @t122 @t121 @t120 @t119 @t118)) % 0.36/0.66 (define @t124 () (tptp.op tptp.e0 tptp.e4)) % 0.36/0.66 (define @t125 () (= @t124 tptp.e4)) % 0.36/0.66 (define @t126 () (= @t124 tptp.e3)) % 0.36/0.66 (define @t127 () (= @t124 tptp.e2)) % 0.36/0.66 (define @t128 () (= @t124 tptp.e1)) % 0.36/0.66 (define @t129 () (= @t124 tptp.e0)) % 0.36/0.66 (define @t130 () (tptp.op tptp.e0 tptp.e3)) % 0.36/0.66 (define @t131 () (= @t130 tptp.e4)) % 0.36/0.66 (define @t132 () (= @t130 tptp.e3)) % 0.36/0.66 (define @t133 () (= @t130 tptp.e2)) % 0.36/0.66 (define @t134 () (= @t130 tptp.e1)) % 0.36/0.66 (define @t135 () (= @t130 tptp.e0)) % 0.36/0.66 (define @t136 () (tptp.op tptp.e0 tptp.e2)) % 0.36/0.66 (define @t137 () (= @t136 tptp.e4)) % 0.36/0.66 (define @t138 () (= @t136 tptp.e3)) % 0.36/0.66 (define @t139 () (= @t136 tptp.e2)) % 0.36/0.66 (define @t140 () (= @t136 tptp.e1)) % 0.36/0.66 (define @t141 () (= @t136 tptp.e0)) % 0.36/0.66 (define @t142 () (tptp.op tptp.e0 tptp.e1)) % 0.36/0.66 (define @t143 () (= @t142 tptp.e4)) % 0.36/0.66 (define @t144 () (= @t142 tptp.e3)) % 0.36/0.66 (define @t145 () (= @t142 tptp.e2)) % 0.36/0.66 (define @t146 () (= @t142 tptp.e1)) % 0.36/0.66 (define @t147 () (= @t142 tptp.e0)) % 0.36/0.66 (define @t148 () (tptp.op tptp.e0 tptp.e0)) % 0.36/0.66 (define @t149 () (= @t148 tptp.e4)) % 0.36/0.66 (define @t150 () (= @t148 tptp.e3)) % 0.36/0.66 (define @t151 () (= @t148 tptp.e2)) % 0.36/0.66 (define @t152 () (= @t148 tptp.e1)) % 0.36/0.66 (define @t153 () (= @t148 tptp.e0)) % 0.36/0.66 (define @t154 () (or @t27 @t21 @t14 @t8 @t2)) % 0.36/0.66 (define @t155 () (or @t28 @t22 @t15 @t9 @t3)) % 0.36/0.66 (define @t156 () (or @t127 @t96 @t66 @t36 @t4)) % 0.36/0.66 (define @t157 () (or @t139 @t108 @t78 @t48 @t16)) % 0.36/0.66 (define @t158 () (or @t144 @t113 @t83 @t53 @t22)) % 0.36/0.66 (define @t159 () (or @t120 @t114 @t108 @t102 @t96)) % 0.36/0.66 (define @t160 () (or @t146 @t115 @t85 @t55 @t24)) % 0.36/0.66 (define @t161 () (or @t121 @t115 @t109 @t103 @t97)) % 0.36/0.66 (define @t162 () (or @t149 @t118 @t88 @t58 @t27)) % 0.36/0.66 (define @t163 () (or @t149 @t143 @t137 @t131 @t125)) % 0.36/0.66 (define @t164 () (or @t152 @t146 @t140 @t134 @t128)) % 0.36/0.66 (define @t165 () (or @t153 @t147 @t141 @t135 @t129)) % 0.36/0.66 (define @t166 () (tptp.op @t1 @t1)) % 0.36/0.66 (define @t167 () (tptp.op @t124 @t26)) % 0.36/0.66 (define @t168 () (tptp.op @t130 @t57)) % 0.36/0.66 (define @t169 () (tptp.op @t136 @t87)) % 0.36/0.66 (define @t170 () (tptp.op @t51 @t99)) % 0.36/0.66 (define @t171 () (tptp.op @t142 @t117)) % 0.36/0.66 (define @t172 () (tptp.op @t26 @t124)) % 0.36/0.66 (define @t173 () (tptp.op @t117 @t142)) % 0.36/0.66 (define @t174 () (tptp.op @t148 @t148)) % 0.36/0.66 (define @t175 () (= tptp.e3 tptp.e4)) % 0.36/0.66 (define @t176 () (not @t175)) % 0.36/0.66 (define @t177 () (= tptp.e2 tptp.e4)) % 0.36/0.66 (define @t178 () (not @t177)) % 0.36/0.66 (define @t179 () (= tptp.e2 tptp.e3)) % 0.36/0.66 (define @t180 () (not @t179)) % 0.36/0.66 (define @t181 () (= tptp.e1 tptp.e4)) % 0.36/0.66 (define @t182 () (not @t181)) % 0.36/0.66 (define @t183 () (= tptp.e1 tptp.e3)) % 0.36/0.66 (define @t184 () (not @t183)) % 0.36/0.66 (define @t185 () (= tptp.e1 tptp.e2)) % 0.36/0.66 (define @t186 () (not @t185)) % 0.36/0.66 (define @t187 () (= tptp.e0 tptp.e4)) % 0.36/0.66 (define @t188 () (not @t187)) % 0.36/0.66 (define @t189 () (= tptp.e0 tptp.e3)) % 0.36/0.66 (define @t190 () (not @t189)) % 0.36/0.66 (define @t191 () (= tptp.e0 tptp.e1)) % 0.36/0.66 (define @t192 () (not @t191)) % 0.36/0.66 (define @t193 () (tptp.op tptp.e4 @t1)) % 0.36/0.66 (define @t194 () (tptp.op @t193 @t193)) % 0.36/0.66 (define @t195 () (= tptp.e3 @t194)) % 0.36/0.66 (define @t196 () (tptp.op @t193 @t1)) % 0.36/0.66 (define @t197 () (= tptp.e2 @t196)) % 0.36/0.66 (define @t198 () (= tptp.e1 @t1)) % 0.36/0.66 (define @t199 () (= tptp.e0 @t193)) % 0.36/0.66 (define @t200 () (not @t2)) % 0.36/0.66 (define @t201 () (not @t9)) % 0.36/0.66 (define @t202 () (not @t16)) % 0.36/0.66 (define @t203 () (not @t24)) % 0.36/0.66 (define @t204 () (not @t31)) % 0.36/0.66 (define @t205 () (and @t204 @t203 @t202 @t201 @t200)) % 0.36/0.66 (define @t206 () (not @t34)) % 0.36/0.66 (define @t207 () (not @t41)) % 0.36/0.66 (define @t208 () (not @t48)) % 0.36/0.66 (define @t209 () (not @t55)) % 0.36/0.66 (define @t210 () (not @t62)) % 0.36/0.66 (define @t211 () (and @t210 @t209 @t208 @t207 @t206)) % 0.36/0.66 (define @t212 () (not @t64)) % 0.36/0.66 (define @t213 () (not @t71)) % 0.36/0.66 (define @t214 () (not @t78)) % 0.36/0.66 (define @t215 () (not @t85)) % 0.36/0.66 (define @t216 () (not @t92)) % 0.36/0.66 (define @t217 () (and @t216 @t215 @t214 @t213 @t212)) % 0.36/0.66 (define @t218 () (not @t94)) % 0.36/0.66 (define @t219 () (not @t101)) % 0.36/0.66 (define @t220 () (not @t108)) % 0.36/0.66 (define @t221 () (not @t115)) % 0.36/0.66 (define @t222 () (not @t122)) % 0.36/0.66 (define @t223 () (and @t222 @t221 @t220 @t219 @t218)) % 0.36/0.66 (define @t224 () (not @t125)) % 0.36/0.66 (define @t225 () (not @t132)) % 0.36/0.66 (define @t226 () (not @t139)) % 0.36/0.66 (define @t227 () (not @t146)) % 0.36/0.66 (define @t228 () (not @t153)) % 0.36/0.66 (define @t229 () (and @t228 @t227 @t226 @t225 @t224)) % 0.36/0.66 (define @t230 () (or @t229 @t223 @t217 @t211 @t205)) % 0.36/0.66 (define @t231 () (not @t35)) % 0.36/0.66 (define @t232 () (not @t66)) % 0.36/0.66 (define @t233 () (not @t97)) % 0.36/0.66 (define @t234 () (not @t129)) % 0.36/0.66 (define @t235 () (and @t234 @t233 @t232 @t231 @t200)) % 0.36/0.66 (define @t236 () (not @t8)) % 0.36/0.66 (define @t237 () (not @t72)) % 0.36/0.66 (define @t238 () (not @t103)) % 0.36/0.66 (define @t239 () (not @t135)) % 0.36/0.66 (define @t240 () (and @t239 @t238 @t237 @t207 @t236)) % 0.36/0.66 (define @t241 () (not @t14)) % 0.36/0.66 (define @t242 () (not @t47)) % 0.36/0.66 (define @t243 () (not @t109)) % 0.36/0.66 (define @t244 () (not @t141)) % 0.36/0.66 (define @t245 () (and @t244 @t243 @t214 @t242 @t241)) % 0.36/0.66 (define @t246 () (not @t21)) % 0.36/0.66 (define @t247 () (not @t53)) % 0.36/0.66 (define @t248 () (not @t84)) % 0.36/0.66 (define @t249 () (not @t147)) % 0.36/0.66 (define @t250 () (and @t249 @t221 @t248 @t247 @t246)) % 0.36/0.66 (define @t251 () (not @t27)) % 0.36/0.66 (define @t252 () (not @t59)) % 0.36/0.66 (define @t253 () (not @t90)) % 0.36/0.66 (define @t254 () (not @t121)) % 0.36/0.66 (define @t255 () (and @t228 @t254 @t253 @t252 @t251)) % 0.36/0.66 (define @t256 () (or @t255 @t250 @t245 @t240 @t235)) % 0.36/0.66 (define @t257 () (and @t256 @t230)) % 0.36/0.66 (define @t258 () (= tptp.e3 @t26)) % 0.36/0.66 (define @t259 () (not @t258)) % 0.36/0.66 (define @t260 () (= @t26 @t148)) % 0.36/0.66 (define @t261 () (= tptp.e3 @t168)) % 0.36/0.66 (define @t262 () (not @t261)) % 0.36/0.66 (define @t263 () (not @t195)) % 0.36/0.66 (define @t264 () (not @t199)) % 0.36/0.66 (define @t265 () (not @t260)) % 0.36/0.66 (define @t266 () (= tptp.e3 @t148)) % 0.36/0.66 (define @t267 () (= false true)) % 0.36/0.66 (define @t268 () (and @t261 @t258 @t266 @t265)) % 0.36/0.66 (define @t269 () (@list true false false false)) % 0.36/0.66 (define @t270 () (= tptp.e0 @t136)) % 0.36/0.66 (define @t271 () (not @t270)) % 0.36/0.66 (define @t272 () (= tptp.e1 @t136)) % 0.36/0.66 (define @t273 () (not @t272)) % 0.36/0.66 (define @t274 () (and @t192 @t272)) % 0.36/0.66 (define @t275 () (= tptp.e0 @t148)) % 0.36/0.66 (define @t276 () (= tptp.e0 @t130)) % 0.36/0.66 (define @t277 () (not @t276)) % 0.36/0.66 (define @t278 () (= @t39 @t130)) % 0.36/0.66 (define @t279 () (= tptp.e0 @t174)) % 0.36/0.66 (define @t280 () (not @t279)) % 0.36/0.66 (define @t281 () (not @t278)) % 0.36/0.66 (define @t282 () (and @t199 @t195 @t279 @t281)) % 0.36/0.66 (define @t283 () (@list false false true false)) % 0.36/0.66 (define @t284 () (= tptp.e0 @t142)) % 0.36/0.66 (define @t285 () (not @t284)) % 0.36/0.66 (define @t286 () (= @t20 @t142)) % 0.36/0.66 (define @t287 () (not @t198)) % 0.36/0.66 (define @t288 () (not @t286)) % 0.36/0.66 (define @t289 () (= tptp.e0 @t20)) % 0.36/0.66 (define @t290 () (and @t199 @t198 @t288)) % 0.36/0.66 (define @t291 () (= tptp.e4 @t167)) % 0.36/0.66 (define @t292 () (= tptp.e0 @t124)) % 0.36/0.66 (define @t293 () (= tptp.e2 @t26)) % 0.36/0.66 (define @t294 () (and @t291 @t272 @t292 @t293)) % 0.36/0.66 (define @t295 () (not @t291)) % 0.36/0.66 (define @t296 () (not @t293)) % 0.36/0.66 (define @t297 () (not @t292)) % 0.36/0.66 (define @t298 () (= tptp.e2 @t117)) % 0.36/0.66 (define @t299 () (not @t298)) % 0.36/0.66 (define @t300 () (= @t26 @t117)) % 0.36/0.66 (define @t301 () (not @t300)) % 0.36/0.66 (define @t302 () (not @t301)) % 0.36/0.66 (define @t303 () (and @t301 @t293)) % 0.36/0.66 (define @t304 () (= tptp.e4 @t148)) % 0.36/0.66 (define @t305 () (not @t304)) % 0.36/0.66 (define @t306 () (not @t176)) % 0.36/0.66 (define @t307 () (and @t304 @t266 @t176)) % 0.36/0.66 (define @t308 () (@list true false false)) % 0.36/0.66 (define @t309 () (= tptp.e1 @t142)) % 0.36/0.66 (define @t310 () (not @t309)) % 0.36/0.66 (define @t311 () (not @t197)) % 0.36/0.66 (define @t312 () (not @t186)) % 0.36/0.66 (define @t313 () (= tptp.e2 @t142)) % 0.36/0.66 (define @t314 () (and @t186 @t199 @t198 @t197)) % 0.36/0.66 (define @t315 () (= tptp.e1 @t148)) % 0.36/0.66 (define @t316 () (not @t315)) % 0.36/0.66 (define @t317 () (and @t184 @t199 @t195)) % 0.36/0.66 (define @t318 () (= tptp.e1 @t124)) % 0.36/0.66 (define @t319 () (not @t318)) % 0.36/0.66 (define @t320 () (= @t1 @t124)) % 0.36/0.66 (define @t321 () (not @t320)) % 0.36/0.66 (define @t322 () (and @t198 @t321)) % 0.36/0.66 (define @t323 () (= tptp.e2 @t13)) % 0.36/0.66 (define @t324 () (not @t323)) % 0.36/0.66 (define @t325 () (= @t13 @t26)) % 0.36/0.66 (define @t326 () (= tptp.e2 @t169)) % 0.36/0.66 (define @t327 () (not @t326)) % 0.36/0.66 (define @t328 () (not @t325)) % 0.36/0.66 (define @t329 () (not @t328)) % 0.36/0.66 (define @t330 () (and @t326 @t323 @t293 @t328)) % 0.36/0.66 (define @t331 () (= tptp.e4 @t26)) % 0.36/0.66 (define @t332 () (not @t331)) % 0.36/0.66 (define @t333 () (= @t111 @t142)) % 0.36/0.66 (define @t334 () (= tptp.e4 @t166)) % 0.36/0.66 (define @t335 () (not @t334)) % 0.36/0.66 (define @t336 () (not @t333)) % 0.36/0.66 (define @t337 () (= tptp.e4 @t111)) % 0.36/0.66 (define @t338 () (and @t199 @t198 @t197 @t334 @t336 @t293)) % 0.36/0.66 (define @t339 () (= tptp.e4 @t1)) % 0.36/0.66 (define @t340 () (not @t339)) % 0.36/0.66 (define @t341 () (= tptp.e2 @t63)) % 0.36/0.66 (define @t342 () (not @t341)) % 0.36/0.66 (define @t343 () (= tptp.e1 @t93)) % 0.36/0.66 (define @t344 () (not @t343)) % 0.36/0.66 (define @t345 () (and @t297 @t344 @t342 (not (= tptp.e3 @t33)) @t340)) % 0.36/0.66 (define @t346 () (= tptp.e0 @t117)) % 0.36/0.66 (define @t347 () (not @t346)) % 0.36/0.66 (define @t348 () (= @t87 @t117)) % 0.36/0.66 (define @t349 () (= tptp.e0 @t172)) % 0.36/0.66 (define @t350 () (not @t349)) % 0.36/0.66 (define @t351 () (not @t348)) % 0.36/0.66 (define @t352 () (= tptp.e0 @t87)) % 0.36/0.66 (define @t353 () (and @t349 @t351 @t292 @t293)) % 0.36/0.66 (define @t354 () (= @t136 @t148)) % 0.36/0.66 (define @t355 () (not @t354)) % 0.36/0.66 (define @t356 () (= tptp.e4 @t136)) % 0.36/0.66 (define @t357 () (and @t291 @t355 @t292 @t293)) % 0.36/0.66 (define @t358 () (= tptp.e2 @t136)) % 0.36/0.66 (define @t359 () (not @t358)) % 0.36/0.66 (define @t360 () (not @t178)) % 0.36/0.66 (define @t361 () (and @t178 @t291 @t292 @t293)) % 0.36/0.66 (define @t362 () (= tptp.e4 @t117)) % 0.36/0.66 (define @t363 () (= tptp.e3 @t117)) % 0.36/0.66 (define @t364 () (not @t363)) % 0.36/0.66 (define @t365 () (= @t117 @t148)) % 0.36/0.66 (define @t366 () (not @t365)) % 0.36/0.66 (define @t367 () (and @t261 @t363 @t266 @t366)) % 0.36/0.66 (define @t368 () (= tptp.e1 @t117)) % 0.36/0.66 (define @t369 () (not @t368)) % 0.36/0.66 (define @t370 () (not @t275)) % 0.36/0.66 (define @t371 () (and @t370 @t369 (not (= tptp.e2 @t87)) (not (= tptp.e3 @t57)) @t332)) % 0.36/0.66 (define @t372 () (= @t111 @t117)) % 0.36/0.66 (define @t373 () (not @t372)) % 0.36/0.66 (define @t374 () (not @t373)) % 0.36/0.66 (define @t375 () (and @t198 @t334 @t373 @t368)) % 0.36/0.66 (define @t376 () (= tptp.e2 @t105)) % 0.36/0.66 (define @t377 () (not @t376)) % 0.36/0.66 (define @t378 () (= @t26 @t87)) % 0.36/0.66 (define @t379 () (= tptp.e0 @t173)) % 0.36/0.66 (define @t380 () (not @t379)) % 0.36/0.66 (define @t381 () (not @t378)) % 0.36/0.66 (define @t382 () (not @t381)) % 0.36/0.66 (define @t383 () (= tptp.e0 @t105)) % 0.36/0.66 (define @t384 () (and @t199 @t198 @t197 @t349 @t379 @t381 @t292 @t368 @t293)) % 0.36/0.66 (define @t385 () (= tptp.e4 @t13)) % 0.36/0.66 (define @t386 () (not @t385)) % 0.36/0.66 (define @t387 () (= @t13 @t136)) % 0.36/0.66 (define @t388 () (not @t387)) % 0.36/0.66 (define @t389 () (and @t291 @t385 @t356 @t388)) % 0.36/0.66 (define @t390 () (= tptp.e4 @t20)) % 0.36/0.66 (define @t391 () (not @t390)) % 0.36/0.66 (define @t392 () (not @t188)) % 0.36/0.66 (define @t393 () (and @t279 @t289 @t390 @t188)) % 0.36/0.66 (define @t394 () (= tptp.e4 @t7)) % 0.36/0.66 (define @t395 () (not @t394)) % 0.36/0.66 (define @t396 () (not (= tptp.e3 @t39))) % 0.36/0.66 (define @t397 () (= tptp.e1 @t99)) % 0.36/0.66 (define @t398 () (not @t397)) % 0.36/0.66 (define @t399 () (and @t277 @t398 (not (= tptp.e2 @t69)) @t396 @t395)) % 0.36/0.66 (define @t400 () (= tptp.e4 @t87)) % 0.36/0.66 (define @t401 () (not @t400)) % 0.36/0.66 (define @t402 () (= @t7 @t20)) % 0.36/0.66 (define @t403 () (not @t402)) % 0.36/0.66 (define @t404 () (and @t199 @t198 @t349 @t403 @t292 @t293 @t394)) % 0.36/0.66 (define @t405 () (= tptp.e3 @t7)) % 0.36/0.66 (define @t406 () (not @t405)) % 0.36/0.66 (define @t407 () (and @t176 @t394)) % 0.36/0.66 (define @t408 () (= tptp.e3 @t20)) % 0.36/0.66 (define @t409 () (not @t408)) % 0.36/0.66 (define @t410 () (= tptp.e4 @t57)) % 0.36/0.66 (define @t411 () (not @t410)) % 0.36/0.66 (define @t412 () (= tptp.e1 @t130)) % 0.36/0.66 (define @t413 () (not @t412)) % 0.36/0.66 (define @t414 () (= @t93 @t105)) % 0.36/0.66 (define @t415 () (not @t414)) % 0.36/0.66 (define @t416 () (not @t415)) % 0.36/0.66 (define @t417 () (= tptp.e3 @t93)) % 0.36/0.66 (define @t418 () (and @t199 @t198 @t197 @t261 @t379 @t415 @t412 @t368 @t410)) % 0.36/0.66 (define @t419 () (= tptp.e3 @t81)) % 0.36/0.66 (define @t420 () (not @t419)) % 0.36/0.66 (define @t421 () (= @t93 @t117)) % 0.36/0.66 (define @t422 () (= tptp.e1 @t171)) % 0.36/0.66 (define @t423 () (not @t422)) % 0.36/0.66 (define @t424 () (not @t421)) % 0.36/0.66 (define @t425 () (not @t424)) % 0.36/0.66 (define @t426 () (= tptp.e1 @t81)) % 0.36/0.66 (define @t427 () (and @t199 @t198 @t197 @t261 @t422 @t424 @t412 @t368 @t410)) % 0.36/0.66 (define @t428 () (= tptp.e3 @t1)) % 0.36/0.66 (define @t429 () (not @t428)) % 0.36/0.66 (define @t430 () (and @t198 @t261 @t424 @t412 @t368 @t410)) % 0.36/0.66 (define @t431 () (= tptp.e2 @t93)) % 0.36/0.66 (define @t432 () (not @t431)) % 0.36/0.66 (define @t433 () (and @t180 @t261 @t412 @t410)) % 0.36/0.66 (define @t434 () (= tptp.e2 @t111)) % 0.36/0.66 (define @t435 () (= tptp.e3 @t142)) % 0.36/0.66 (define @t436 () (not @t435)) % 0.36/0.66 (define @t437 () (= tptp.e3 @t13)) % 0.36/0.66 (define @t438 () (not @t437)) % 0.36/0.66 (define @t439 () (and @t199 @t198 @t197 @t328 @t293 @t437)) % 0.36/0.66 (define @t440 () (= tptp.e3 @t111)) % 0.36/0.66 (define @t441 () (= tptp.e3 @t51)) % 0.36/0.66 (define @t442 () (not @t441)) % 0.36/0.66 (define @t443 () (= tptp.e1 @t111)) % 0.36/0.66 (define @t444 () (not @t443)) % 0.36/0.66 (define @t445 () (and @t285 @t444 (not (= tptp.e2 @t81)) @t442 @t391)) % 0.36/0.66 (define @t446 () (= tptp.e2 @t75)) % 0.36/0.66 (define @t447 () (not @t446)) % 0.36/0.66 (define @t448 () (= tptp.e1 @t105)) % 0.36/0.66 (define @t449 () (not @t448)) % 0.36/0.66 (define @t450 () (and @t271 @t449 @t447 (not (= tptp.e3 @t45)) @t386)) % 0.36/0.66 (define @t451 () (= tptp.e2 @t45)) % 0.36/0.66 (define @t452 () (not @t451)) % 0.36/0.66 (define @t453 () (= tptp.e2 @t99)) % 0.36/0.66 (define @t454 () (not @t453)) % 0.36/0.66 (define @t455 () (= tptp.e1 @t170)) % 0.36/0.66 (define @t456 () (not @t455)) % 0.36/0.66 (define @t457 () (= tptp.e1 @t45)) % 0.36/0.66 (define @t458 () (and @t451 @t186 @t457)) % 0.36/0.66 (define @t459 () (and @t190 @t199 @t195)) % 0.36/0.66 (define @t460 () (= @t105 @t136)) % 0.36/0.66 (define @t461 () (and @t199 @t198 @t197 @t379 @t270 @t368)) % 0.36/0.66 (define @t462 () (not @t362)) % 0.36/0.66 (define @t463 () (and @t198 @t334 @t373)) % 0.36/0.66 (define @t464 () (and @t199 @t198 @t301 @t270 @t346 @t293)) % 0.36/0.66 (define @t465 () (= @t99 @t130)) % 0.36/0.66 (define @t466 () (not @t465)) % 0.36/0.66 (define @t467 () (and @t422 @t397 @t412 @t466)) % 0.36/0.66 (define @t468 () (not @t182)) % 0.36/0.66 (define @t469 () (and @t182 @t198 @t334)) % 0.36/0.66 (define @t470 () (= @t1 @t93)) % 0.36/0.66 (define @t471 () (not @t470)) % 0.36/0.66 (define @t472 () (and @t198 @t471)) % 0.36/0.66 (define @t473 () (= tptp.e1 @t87)) % 0.36/0.66 (define @t474 () (and @t199 @t198 @t197 @t422 @t381 @t346 @t448 @t293)) % 0.36/0.66 (define @t475 () (and @t347 @t444 @t377 (not (= tptp.e3 @t99)) (not (= tptp.e4 @t93)))) % 0.36/0.66 (define @t476 () (not @t426)) % 0.36/0.66 (define @t477 () (= @t81 @t87)) % 0.36/0.66 (define @t478 () (not @t477)) % 0.36/0.66 (define @t479 () (and @t422 @t426 @t473 @t478)) % 0.36/0.66 (define @t480 () (= tptp.e1 @t20)) % 0.36/0.66 (define @t481 () (not @t480)) % 0.36/0.66 (define @t482 () (= @t1 @t20)) % 0.36/0.66 (define @t483 () (not @t482)) % 0.36/0.66 (define @t484 () (and @t198 @t483)) % 0.36/0.66 (define @t485 () (= tptp.e1 @t51)) % 0.36/0.66 (define @t486 () (not @t485)) % 0.36/0.66 (define @t487 () (and (not (= tptp.e0 @t57)) @t486 @t452 @t396 (not (= tptp.e4 @t33)))) % 0.36/0.66 (define @t488 () (= tptp.e2 @t1)) % 0.36/0.66 (define @t489 () (not @t488)) % 0.36/0.66 (define @t490 () (and @t199 @t198 @t197 @t422 @t381 @t346 @t293)) % 0.36/0.66 (define @t491 () (= tptp.e1 @t13)) % 0.36/0.66 (define @t492 () (not @t491)) % 0.36/0.66 (define @t493 () (= @t1 @t13)) % 0.36/0.66 (define @t494 () (not @t493)) % 0.36/0.66 (define @t495 () (and @t198 @t494)) % 0.36/0.66 (define @t496 () (= tptp.e0 @t13)) % 0.36/0.66 (define @t497 () (not @t496)) % 0.36/0.66 (define @t498 () (= @t13 @t20)) % 0.36/0.66 (define @t499 () (not @t498)) % 0.36/0.66 (define @t500 () (and @t279 @t496 @t289 @t499)) % 0.36/0.66 (define @t501 () (= @t13 @t105)) % 0.36/0.66 (define @t502 () (not @t501)) % 0.36/0.66 (define @t503 () (not @t502)) % 0.36/0.66 (define @t504 () (and @t199 @t198 @t197 @t422 @t502 @t346 @t448 @t385)) % 0.36/0.66 (define @t505 () (not @t356)) % 0.36/0.66 (define @t506 () (and @t199 @t198 @t334 @t373 @t270 @t346)) % 0.36/0.66 (define @t507 () (= tptp.e4 @t130)) % 0.36/0.66 (define @t508 () (not @t507)) % 0.36/0.66 (define @t509 () (and @t198 @t502 @t412 @t448 @t385)) % 0.36/0.66 (define @t510 () (= tptp.e4 @t142)) % 0.36/0.66 (define @t511 () (= tptp.e4 @t124)) % 0.36/0.66 (define @t512 () (not @t511)) % 0.36/0.66 (define @t513 () (and @t370 @t310 @t359 (not (= tptp.e3 @t130)) @t512)) % 0.36/0.66 (define @t514 () (= tptp.e2 @t124)) % 0.36/0.66 (define @t515 () (not @t514)) % 0.36/0.66 (define @t516 () (and @t178 @t511)) % 0.36/0.66 (define @t517 () (= tptp.e0 @t63)) % 0.36/0.66 (define @t518 () (and @t199 @t198 @t349 @t301 @t511 @t346 @t293)) % 0.36/0.66 (define @t519 () (and @t198 @t261 @t415 @t412 @t448 @t410)) % 0.36/0.66 (define @t520 () (and @t199 @t198 @t261 @t424 @t412 @t346 @t410)) % 0.36/0.66 (define @t521 () (= tptp.e0 @t26)) % 0.36/0.66 (define @t522 () (and (not @t521) @t481 @t324 @t406 @t340)) % 0.36/0.66 (define @t523 () (and (not @t352) @t476 @t447 (not (= tptp.e3 @t69)) (not (= tptp.e4 @t63)))) % 0.36/0.66 (define @t524 () (= tptp.e2 @t33)) % 0.36/0.66 (define @t525 () (not @t524)) % 0.36/0.66 (define @t526 () (= @t33 @t45)) % 0.36/0.66 (define @t527 () (not @t526)) % 0.36/0.66 (define @t528 () (and @t527 @t524)) % 0.36/0.66 (define @t529 () (and @t291 @t511 @t293 @t437)) % 0.36/0.66 (define @t530 () (and @t422 @t412 @t507 @t182)) % 0.36/0.66 (define @t531 () (= tptp.e1 @t26)) % 0.36/0.66 (define @t532 () (@list true true true true)) % 0.36/0.66 (define @t533 () (and @t349 @t292 @t331)) % 0.36/0.66 (define @t534 () (and @t198 @t349 @t511 @t331)) % 0.36/0.66 (define @t535 () (and @t279 @t270 @t356 @t188)) % 0.36/0.66 (assume @p1 (and (or @t153 @t152 @t151 @t150 @t149) (or @t147 @t146 @t145 @t144 @t143) (or @t141 @t140 @t139 @t138 @t137) (or @t135 @t134 @t133 @t132 @t131) (or @t129 @t128 @t127 @t126 @t125) @t123 (or @t116 @t115 @t114 @t113 @t112) (or @t110 @t109 @t108 @t107 @t106) (or @t104 @t103 @t102 @t101 @t100) (or @t98 @t97 @t96 @t95 @t94) (or @t92 @t91 @t90 @t89 @t88) (or @t86 @t85 @t84 @t83 @t82) (or @t80 @t79 @t78 @t77 @t76) (or @t74 @t73 @t72 @t71 @t70) (or @t68 @t67 @t66 @t65 @t64) (or @t62 @t61 @t60 @t59 @t58) (or @t56 @t55 @t54 @t53 @t52) (or @t50 @t49 @t48 @t47 @t46) (or @t44 @t43 @t42 @t41 @t40) (or @t38 @t37 @t36 @t35 @t34) @t32 (or @t25 @t24 @t23 @t22 @t21) @t19 (or @t12 @t11 @t10 @t9 @t8) (or @t6 @t5 @t4 @t3 @t2))) % 0.36/0.66 (assume @p2 (and @t165 (or @t153 @t122 @t92 @t62 @t31) @t164 (or @t152 @t121 @t91 @t61 @t30) (or @t151 @t145 @t139 @t133 @t127) (or @t151 @t120 @t90 @t60 @t29) (or @t150 @t144 @t138 @t132 @t126) (or @t150 @t119 @t89 @t59 @t28) @t163 @t162 (or @t122 @t116 @t110 @t104 @t98) (or @t147 @t116 @t86 @t56 @t25) @t161 @t160 @t159 (or @t145 @t114 @t84 @t54 @t23) (or @t119 @t113 @t107 @t101 @t95) @t158 (or @t118 @t112 @t106 @t100 @t94) (or @t143 @t112 @t82 @t52 @t21) (or @t92 @t86 @t80 @t74 @t68) (or @t141 @t110 @t80 @t50 @t18) (or @t91 @t85 @t79 @t73 @t67) (or @t140 @t109 @t79 @t49 @t17) (or @t90 @t84 @t78 @t72 @t66) @t157 (or @t89 @t83 @t77 @t71 @t65) (or @t138 @t107 @t77 @t47 @t15) (or @t88 @t82 @t76 @t70 @t64) (or @t137 @t106 @t76 @t46 @t14) (or @t62 @t56 @t50 @t44 @t38) (or @t135 @t104 @t74 @t44 @t12) (or @t61 @t55 @t49 @t43 @t37) (or @t134 @t103 @t73 @t43 @t11) (or @t60 @t54 @t48 @t42 @t36) (or @t133 @t102 @t72 @t42 @t10) (or @t59 @t53 @t47 @t41 @t35) (or @t132 @t101 @t71 @t41 @t9) (or @t58 @t52 @t46 @t40 @t34) (or @t131 @t100 @t70 @t40 @t8) (or @t31 @t25 @t18 @t12 @t6) (or @t129 @t98 @t68 @t38 @t6) (or @t30 @t24 @t17 @t11 @t5) (or @t128 @t97 @t67 @t37 @t5) (or @t29 @t23 @t16 @t10 @t4) @t156 @t155 (or @t126 @t95 @t65 @t35 @t3) @t154 (or @t125 @t94 @t64 @t34 @t2))) % 0.36/0.66 (assume @p3 (and (= @t174 tptp.e0) (= @t173 tptp.e0) (= (tptp.op @t87 @t136) tptp.e0) (= (tptp.op @t57 @t130) tptp.e0) (= @t172 tptp.e0) (= @t171 tptp.e1) (= (tptp.op @t111 @t111) tptp.e1) (= (tptp.op @t81 @t105) tptp.e1) (= @t170 tptp.e1) (= (tptp.op @t20 @t93) tptp.e1) (= @t169 tptp.e2) (= (tptp.op @t105 @t81) tptp.e2) (= (tptp.op @t75 @t75) tptp.e2) (= (tptp.op @t45 @t69) tptp.e2) (= (tptp.op @t13 @t63) tptp.e2) (= @t168 tptp.e3) (= (tptp.op @t99 @t51) tptp.e3) (= (tptp.op @t69 @t45) tptp.e3) (= (tptp.op @t39 @t39) tptp.e3) (= (tptp.op @t7 @t33) tptp.e3) (= @t167 tptp.e4) (= (tptp.op @t93 @t20) tptp.e4) (= (tptp.op @t63 @t13) tptp.e4) (= (tptp.op @t33 @t7) tptp.e4) (= @t166 tptp.e4))) % 0.36/0.66 (assume @p4 (and (not (= @t148 @t117)) (not (= @t148 @t87)) (not (= @t148 @t57)) (not (= @t148 @t26)) (not (= @t117 @t87)) (not (= @t117 @t57)) (not (= @t117 @t26)) (not (= @t87 @t57)) (not (= @t87 @t26)) (not (= @t57 @t26)) (not (= @t142 @t111)) (not (= @t142 @t81)) (not (= @t142 @t51)) (not (= @t142 @t20)) (not (= @t111 @t81)) (not (= @t111 @t51)) (not (= @t111 @t20)) (not (= @t81 @t51)) (not (= @t81 @t20)) (not (= @t51 @t20)) (not (= @t136 @t105)) (not (= @t136 @t75)) (not (= @t136 @t45)) (not (= @t136 @t13)) (not (= @t105 @t75)) (not (= @t105 @t45)) (not (= @t105 @t13)) (not (= @t75 @t45)) (not (= @t75 @t13)) (not (= @t45 @t13)) (not (= @t130 @t99)) (not (= @t130 @t69)) (not (= @t130 @t39)) (not (= @t130 @t7)) (not (= @t99 @t69)) (not (= @t99 @t39)) (not (= @t99 @t7)) (not (= @t69 @t39)) (not (= @t69 @t7)) (not (= @t39 @t7)) (not (= @t124 @t93)) (not (= @t124 @t63)) (not (= @t124 @t33)) (not (= @t124 @t1)) (not (= @t93 @t63)) (not (= @t93 @t33)) (not (= @t93 @t1)) (not (= @t63 @t33)) (not (= @t63 @t1)) (not (= @t33 @t1)) (not (= @t148 @t142)) (not (= @t148 @t136)) (not (= @t148 @t130)) (not (= @t148 @t124)) (not (= @t142 @t136)) (not (= @t142 @t130)) (not (= @t142 @t124)) (not (= @t136 @t130)) (not (= @t136 @t124)) (not (= @t130 @t124)) (not (= @t117 @t111)) (not (= @t117 @t105)) (not (= @t117 @t99)) (not (= @t117 @t93)) (not (= @t111 @t105)) (not (= @t111 @t99)) (not (= @t111 @t93)) (not (= @t105 @t99)) (not (= @t105 @t93)) (not (= @t99 @t93)) (not (= @t87 @t81)) (not (= @t87 @t75)) (not (= @t87 @t69)) (not (= @t87 @t63)) (not (= @t81 @t75)) (not (= @t81 @t69)) (not (= @t81 @t63)) (not (= @t75 @t69)) (not (= @t75 @t63)) (not (= @t69 @t63)) (not (= @t57 @t51)) (not (= @t57 @t45)) (not (= @t57 @t39)) (not (= @t57 @t33)) (not (= @t51 @t45)) (not (= @t51 @t39)) (not (= @t51 @t33)) (not (= @t45 @t39)) (not (= @t45 @t33)) (not (= @t39 @t33)) (not (= @t26 @t20)) (not (= @t26 @t13)) (not (= @t26 @t7)) (not (= @t26 @t1)) (not (= @t20 @t13)) (not (= @t20 @t7)) (not (= @t20 @t1)) (not (= @t13 @t7)) (not (= @t13 @t1)) (not (= @t7 @t1)))) % 0.36/0.66 (assume @p5 (and @t192 (not (= tptp.e0 tptp.e2)) @t190 @t188 @t186 @t184 @t182 @t180 @t178 @t176)) % 0.36/0.66 (assume @p6 (and @t199 @t198 @t197 @t195)) % 0.36/0.66 (assume @p7 (not (not @t257))) % 0.36/0.66 (assume @p8 true) % 0.36/0.66 (step @p9 :rule and_elim :premises (@p3) :args (0)) % 0.36/0.66 (step @p10 :rule symm :premises (@p9)) % 0.36/0.66 (step @p11 :rule and_elim :premises (@p5) :args (3)) % 0.36/0.66 (step @p12 :rule and_elim :premises (@p3) :args (4)) % 0.36/0.66 (step @p13 :rule symm :premises (@p12)) % 0.36/0.66 (step @p14 :rule and_elim :premises (@p6) :args (3)) % 0.36/0.66 (step @p15 :rule and_elim :premises (@p6) :args (0)) % 0.36/0.66 (step @p16 :rule and_elim :premises (@p3) :args (15)) % 0.36/0.66 (step @p17 :rule symm :premises (@p16)) % 0.36/0.66 (step @p18 :rule and_elim :premises (@p4) :args (3)) % 0.36/0.66 (step @p19 :rule symm :premises (@p18)) % 0.36/0.66 (step @p20 :rule refl :args (@t259)) % 0.36/0.66 (step @p21 :rule bool-double-not-elim :args (@t260)) % 0.36/0.66 (step @p22 :rule refl :args (@t262)) % 0.36/0.66 (step @p23 :rule refl :args (@t263)) % 0.36/0.66 (step @p24 :rule refl :args (@t264)) % 0.36/0.66 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22 @p21 @p20) :args ((or @t264 @t263 @t262 (not @t265) @t259))) % 0.36/0.66 (assume-push @p2371 @t261) % 0.36/0.66 (assume-push @p2372 @t258) % 0.36/0.66 (assume-push @p2373 @t266) % 0.36/0.66 (assume-push @p2374 @t265) % 0.36/0.66 (step @p30 :rule evaluate :args (@t267)) % 0.36/0.66 (step @p31 :rule symm :premises (@p15)) % 0.36/0.66 (step @p32 :rule cong :premises (@p31 @p31) :args (@t194)) % 0.36/0.66 (step @p33 :rule trans :premises (@p14 @p32)) % 0.36/0.66 (step @p34 :rule symm :premises (@p33)) % 0.36/0.66 (step @p35 :rule trans :premises (@p34 @p17)) % 0.36/0.66 (step @p36 :rule symm :premises (@p35)) % 0.36/0.66 (step @p37 :rule symm :premises (@p2372)) % 0.36/0.66 (step @p38 :rule trans :premises (@p37 @p17 @p36)) % 0.36/0.66 (step @p39 :rule true_intro :premises (@p38)) % 0.36/0.66 (step @p40 :rule false_intro :premises (@p19)) % 0.36/0.66 (step @p41 :rule symm :premises (@p40)) % 0.36/0.66 (step @p42 :rule trans :premises (@p41 @p39)) % 0.36/0.66 (step @p43 false :rule eq_resolve :premises (@p42 @p30)) % 0.36/0.66 (step-pop @p2375 :rule scope :premises (@p43)) % 0.36/0.66 (step-pop @p2376 :rule scope :premises (@p2375)) % 0.36/0.66 (step-pop @p2377 :rule scope :premises (@p2376)) % 0.36/0.66 (step-pop @p2378 :rule scope :premises (@p2377)) % 0.36/0.66 (step @p44 :rule process_scope :premises (@p2378) :args (false)) % 0.36/0.66 (assume-push @p2379 @t199) % 0.36/0.66 (assume-push @p2380 @t195) % 0.36/0.66 (assume-push @p2381 @t261) % 0.36/0.66 (assume-push @p2382 @t265) % 0.36/0.66 (assume-push @p2383 @t258) % 0.36/0.66 (step @p31 :rule symm :premises (@p15)) % 0.36/0.66 (step @p32 :rule cong :premises (@p31 @p31) :args (@t194)) % 0.36/0.66 (step @p33 :rule trans :premises (@p14 @p32)) % 0.36/0.66 (step @p54 :rule and_intro :premises (@p17 @p2383 @p33 @p19)) % 0.36/0.66 (step-pop @p2384 :rule scope :premises (@p54)) % 0.36/0.66 (step-pop @p2385 :rule scope :premises (@p2384)) % 0.36/0.66 (step-pop @p2386 :rule scope :premises (@p2385)) % 0.36/0.66 (step-pop @p2387 :rule scope :premises (@p2386)) % 0.36/0.66 (step-pop @p2388 :rule scope :premises (@p2387)) % 0.36/0.66 (step @p55 :rule process_scope :premises (@p2388) :args (@t268)) % 0.36/0.66 (step @p61 :rule implies_elim :premises (@p55)) % 0.36/0.66 (step @p62 :rule resolution :premises (@p61 @p44) :args (true @t268)) % 0.36/0.66 (step @p63 :rule not_and :premises (@p62)) % 0.36/0.66 (step @p64 :rule eq_resolve :premises (@p63 @p25)) % 0.36/0.66 (step @p65 :rule reordering :premises (@p64) :args ((or @t260 @t259 @t262 @t264 @t263))) % 0.36/0.66 (step @p66 :rule chain_m_resolution :premises (@p65 @p19 @p17 @p15 @p14) :args (@t259 @t269 (@list @t260 @t261 @t199 @t195))) % 0.36/0.66 (step @p67 :rule and_elim :premises (@p5) :args (0)) % 0.36/0.66 (step @p68 :rule refl :args (@t271)) % 0.36/0.66 (step @p69 :rule refl :args (@t273)) % 0.36/0.66 (step @p70 :rule bool-double-not-elim :args (@t191)) % 0.36/0.66 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args ((or (not @t192) @t273 @t271))) % 0.36/0.66 (assume-push @p2389 @t192) % 0.36/0.66 (assume-push @p2390 @t272) % 0.36/0.66 (assume-push @p2391 @t192) % 0.36/0.66 (assume-push @p2392 @t272) % 0.36/0.66 (step @p76 :rule false_intro :premises (@p67)) % 0.36/0.66 (step @p77 :rule symm :premises (@p2390)) % 0.36/0.66 (step @p78 :rule refl :args (tptp.e0)) % 0.36/0.66 (step @p79 :rule cong :premises (@p78 @p77) :args (@t270)) % 0.36/0.66 (step @p80 :rule trans :premises (@p79 @p76)) % 0.36/0.66 (step @p81 :rule false_elim :premises (@p80)) % 0.36/0.66 (step-pop @p2393 :rule scope :premises (@p81)) % 0.36/0.66 (step-pop @p2394 :rule scope :premises (@p2393)) % 0.36/0.66 (step @p82 :rule process_scope :premises (@p2394) :args (@t271)) % 0.36/0.66 (step @p85 :rule and_intro :premises (@p67 @p2390)) % 0.36/0.66 (step @p86 :rule modus_ponens :premises (@p85 @p82)) % 0.36/0.66 (step-pop @p2395 :rule scope :premises (@p86)) % 0.36/0.66 (step-pop @p2396 :rule scope :premises (@p2395)) % 0.36/0.66 (step @p87 :rule process_scope :premises (@p2396) :args (@t271)) % 0.36/0.66 (step @p90 :rule implies_elim :premises (@p87)) % 0.36/0.66 (step @p91 :rule cnf_and_neg :args (@t274)) % 0.36/0.66 (step @p92 :rule resolution :premises (@p91 @p90) :args (true @t274)) % 0.36/0.66 (step @p93 :rule eq_resolve :premises (@p92 @p71)) % 0.36/0.66 (step @p94 :rule reordering :premises (@p93) :args ((or @t191 @t271 @t273))) % 0.36/0.66 (step @p95 :rule and_elim :premises (@p5) :args (2)) % 0.36/0.66 (step @p96 :rule false_intro :premises (@p95)) % 0.36/0.66 (step @p31 :rule symm :premises (@p15)) % 0.36/0.66 (step @p32 :rule cong :premises (@p31 @p31) :args (@t194)) % 0.36/0.66 (step @p33 :rule trans :premises (@p14 @p32)) % 0.36/0.66 (step @p34 :rule symm :premises (@p33)) % 0.36/0.66 (step @p78 :rule refl :args (tptp.e0)) % 0.36/0.66 (step @p97 :rule cong :premises (@p78 @p34) :args (@t275)) % 0.36/0.66 (step @p98 :rule trans :premises (@p97 @p96)) % 0.36/0.66 (step @p99 :rule false_elim :premises (@p98)) % 0.36/0.66 (step @p100 :rule and_elim :premises (@p4) :args (32)) % 0.36/0.66 (step @p101 :rule symm :premises (@p100)) % 0.36/0.66 (step @p102 :rule refl :args (@t277)) % 0.36/0.66 (step @p103 :rule bool-double-not-elim :args (@t278)) % 0.36/0.66 (step @p104 :rule refl :args (@t280)) % 0.36/0.66 (step @p105 :rule nary_cong :premises (@p24 @p23 @p104 @p103 @p102) :args ((or @t264 @t263 @t280 (not @t281) @t277))) % 0.36/0.66 (assume-push @p2397 @t199) % 0.36/0.66 (assume-push @p2398 @t195) % 0.36/0.66 (assume-push @p2399 @t279) % 0.36/0.66 (assume-push @p2400 @t281) % 0.36/0.66 (assume-push @p2401 @t281) % 0.36/0.66 (assume-push @p2402 (= tptp.e0 @t39)) % 0.36/0.66 (step @p112 :rule false_intro :premises (@p101)) % 0.36/0.66 (step @p113 :rule refl :args (@t130)) % 0.36/0.66 (step @p114 :rule cong :premises (@p34 @p34) :args (@t174)) % 0.36/0.66 (step @p115 :rule symm :premises (@p9)) % 0.36/0.66 (step @p116 :rule trans :premises (@p115 @p114)) % 0.36/0.66 (step @p117 :rule cong :premises (@p116 @p113) :args (@t276)) % 0.36/0.66 (step @p118 :rule trans :premises (@p117 @p112)) % 0.36/0.66 (step @p119 :rule false_elim :premises (@p118)) % 0.36/0.66 (step-pop @p2403 :rule scope :premises (@p119)) % 0.36/0.66 (step-pop @p2404 :rule scope :premises (@p2403)) % 0.36/0.66 (step @p120 :rule process_scope :premises (@p2404) :args (@t277)) % 0.36/0.66 (step @p114 :rule cong :premises (@p34 @p34) :args (@t174)) % 0.36/0.66 (step @p123 :rule trans :premises (@p10 @p114)) % 0.36/0.66 (step @p124 :rule and_intro :premises (@p101 @p123)) % 0.36/0.66 (step @p125 :rule modus_ponens :premises (@p124 @p120)) % 0.36/0.66 (step-pop @p2405 :rule scope :premises (@p125)) % 0.36/0.66 (step-pop @p2406 :rule scope :premises (@p2405)) % 0.36/0.66 (step-pop @p2407 :rule scope :premises (@p2406)) % 0.36/0.66 (step-pop @p2408 :rule scope :premises (@p2407)) % 0.36/0.66 (step @p126 :rule process_scope :premises (@p2408) :args (@t277)) % 0.36/0.66 (step @p131 :rule implies_elim :premises (@p126)) % 0.36/0.66 (step @p132 :rule cnf_and_neg :args (@t282)) % 0.36/0.66 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t282)) % 0.36/0.66 (step @p134 :rule eq_resolve :premises (@p133 @p105)) % 0.36/0.66 (step @p135 :rule reordering :premises (@p134) :args ((or @t278 @t277 @t280 @t264 @t263))) % 0.36/0.66 (step @p136 :rule chain_m_resolution :premises (@p135 @p14 @p15 @p101 @p10) :args (@t277 @t283 (@list @t195 @t199 @t278 @t279))) % 0.36/0.66 (step @p137 :rule and_elim 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:premises (@p2344)) % 0.36/0.67 (step @p2346 :rule trans :premises (@p10 @p2345)) % 0.36/0.67 (step @p2347 :rule true_intro :premises (@p2346)) % 0.36/0.67 (step @p813 :rule false_intro :premises (@p11)) % 0.36/0.67 (step @p814 :rule symm :premises (@p813)) % 0.36/0.67 (step @p2348 :rule trans :premises (@p814 @p2347)) % 0.36/0.67 (step @p2349 false :rule eq_resolve :premises (@p2348 @p30)) % 0.36/0.67 (step-pop @p3349 :rule scope :premises (@p2349)) % 0.36/0.67 (step-pop @p3350 :rule scope :premises (@p3349)) % 0.36/0.67 (step-pop @p3351 :rule scope :premises (@p3350)) % 0.36/0.67 (step-pop @p3352 :rule scope :premises (@p3351)) % 0.36/0.67 (step @p2350 :rule process_scope :premises (@p3352) :args (false)) % 0.36/0.67 (assume-push @p3353 @t188) % 0.36/0.67 (assume-push @p3354 @t279) % 0.36/0.67 (assume-push @p3355 @t270) % 0.36/0.67 (assume-push @p3356 @t356) % 0.36/0.67 (step @p2359 :rule and_intro :premises (@p10 @p3355 @p3356 @p11)) % 0.36/0.67 (step-pop @p3357 :rule scope :premises (@p2359)) % 0.36/0.67 (step-pop @p3358 :rule scope :premises (@p3357)) % 0.36/0.67 (step-pop @p3359 :rule scope :premises (@p3358)) % 0.36/0.67 (step-pop @p3360 :rule scope :premises (@p3359)) % 0.36/0.67 (step @p2360 :rule process_scope :premises (@p3360) :args (@t535)) % 0.36/0.67 (step @p2365 :rule implies_elim :premises (@p2360)) % 0.36/0.67 (step @p2366 :rule resolution :premises (@p2365 @p2350) :args (true @t535)) % 0.36/0.67 (step @p2367 :rule not_and :premises (@p2366)) % 0.36/0.67 (step @p2368 :rule eq_resolve :premises (@p2367 @p2338)) % 0.36/0.67 (step @p2369 :rule reordering :premises (@p2368) :args ((or @t187 @t271 @t505 @t280))) % 0.36/0.67 (step @p2370 false :rule chain_m_resolution :premises (@p2369 @p2337 @p2304 @p11 @p10) :args (false @t283 (@list @t356 @t270 @t187 @t279))) % 0.36/0.67 ) % 0.36/0.67 % SZS output end Proof % 0.36/0.67 % cvc5 exiting %------------------------------------------------------------------------------