%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG022+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 : n001.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 08:04:57 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG022+1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:37:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.unit $$unsorted) % 0.44/0.63 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.e0 $$unsorted) % 0.44/0.63 (declare-const tptp.e1 $$unsorted) % 0.44/0.63 (declare-const tptp.e2 $$unsorted) % 0.44/0.63 (declare-const tptp.e3 $$unsorted) % 0.44/0.63 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.44/0.63 (define @t2 () (= @t1 tptp.e0)) % 0.44/0.63 (define @t3 () (tptp.op tptp.e3 tptp.e2)) % 0.44/0.63 (define @t4 () (= @t3 tptp.e1)) % 0.44/0.63 (define @t5 () (tptp.op tptp.e3 tptp.e1)) % 0.44/0.63 (define @t6 () (= @t5 tptp.e2)) % 0.44/0.63 (define @t7 () (tptp.op tptp.e3 tptp.e0)) % 0.44/0.63 (define @t8 () (= @t7 tptp.e3)) % 0.44/0.63 (define @t9 () (tptp.op tptp.e2 tptp.e3)) % 0.44/0.63 (define @t10 () (= @t9 tptp.e1)) % 0.44/0.63 (define @t11 () (tptp.op tptp.e2 tptp.e2)) % 0.44/0.63 (define @t12 () (= @t11 tptp.e3)) % 0.44/0.63 (define @t13 () (tptp.op tptp.e2 tptp.e1)) % 0.44/0.63 (define @t14 () (= @t13 tptp.e0)) % 0.44/0.63 (define @t15 () (tptp.op tptp.e2 tptp.e0)) % 0.44/0.63 (define @t16 () (= @t15 tptp.e2)) % 0.44/0.63 (define @t17 () (tptp.op tptp.e1 tptp.e3)) % 0.44/0.63 (define @t18 () (= @t17 tptp.e2)) % 0.44/0.63 (define @t19 () (tptp.op tptp.e1 tptp.e2)) % 0.44/0.63 (define @t20 () (= @t19 tptp.e0)) % 0.44/0.63 (define @t21 () (tptp.op tptp.e1 tptp.e1)) % 0.44/0.63 (define @t22 () (= @t21 tptp.e3)) % 0.44/0.63 (define @t23 () (tptp.op tptp.e1 tptp.e0)) % 0.44/0.63 (define @t24 () (= @t23 tptp.e1)) % 0.44/0.63 (define @t25 () (tptp.op tptp.e0 tptp.e3)) % 0.44/0.63 (define @t26 () (= @t25 tptp.e3)) % 0.44/0.63 (define @t27 () (tptp.op tptp.e0 tptp.e2)) % 0.44/0.63 (define @t28 () (= @t27 tptp.e2)) % 0.44/0.63 (define @t29 () (tptp.op tptp.e0 tptp.e1)) % 0.44/0.63 (define @t30 () (= @t29 tptp.e1)) % 0.44/0.63 (define @t31 () (tptp.op tptp.e0 tptp.e0)) % 0.44/0.63 (define @t32 () (= @t31 tptp.e0)) % 0.44/0.63 (define @t33 () (= tptp.unit tptp.e0)) % 0.44/0.63 (define @t34 () (tptp.inv tptp.e3)) % 0.44/0.63 (define @t35 () (= @t34 tptp.e3)) % 0.44/0.63 (define @t36 () (tptp.inv tptp.e2)) % 0.44/0.63 (define @t37 () (= @t36 tptp.e1)) % 0.44/0.63 (define @t38 () (tptp.inv tptp.e1)) % 0.44/0.63 (define @t39 () (= @t38 tptp.e2)) % 0.44/0.63 (define @t40 () (tptp.inv tptp.e0)) % 0.44/0.63 (define @t41 () (= @t40 tptp.e0)) % 0.44/0.63 (define @t42 () (or (= @t34 tptp.e0) (= @t34 tptp.e1) (= @t34 tptp.e2) @t35)) % 0.44/0.63 (define @t43 () (or (= @t36 tptp.e0) @t37 (= @t36 tptp.e2) (= @t36 tptp.e3))) % 0.44/0.63 (define @t44 () (or (= @t38 tptp.e0) (= @t38 tptp.e1) @t39 (= @t38 tptp.e3))) % 0.44/0.63 (define @t45 () (or @t41 (= @t40 tptp.e1) (= @t40 tptp.e2) (= @t40 tptp.e3))) % 0.44/0.63 (define @t46 () (tptp.op @t34 tptp.e3)) % 0.44/0.63 (define @t47 () (tptp.op tptp.e3 @t34)) % 0.44/0.63 (define @t48 () (tptp.op @t36 tptp.e2)) % 0.44/0.63 (define @t49 () (tptp.op tptp.e2 @t36)) % 0.44/0.63 (define @t50 () (tptp.op @t38 tptp.e1)) % 0.44/0.63 (define @t51 () (tptp.op tptp.e1 @t38)) % 0.44/0.63 (define @t52 () (tptp.op @t40 tptp.e0)) % 0.44/0.63 (define @t53 () (tptp.op tptp.e0 @t40)) % 0.44/0.63 (define @t54 () (or @t33 (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3))) % 0.44/0.63 (define @t55 () (tptp.op tptp.e3 tptp.unit)) % 0.44/0.63 (define @t56 () (tptp.op tptp.unit tptp.e3)) % 0.44/0.63 (define @t57 () (tptp.op tptp.e2 tptp.unit)) % 0.44/0.63 (define @t58 () (tptp.op tptp.unit tptp.e2)) % 0.44/0.63 (define @t59 () (tptp.op tptp.e1 tptp.unit)) % 0.44/0.63 (define @t60 () (tptp.op tptp.unit tptp.e1)) % 0.44/0.63 (define @t61 () (tptp.op tptp.e0 tptp.unit)) % 0.44/0.63 (define @t62 () (tptp.op tptp.unit tptp.e0)) % 0.44/0.63 (define @t63 () (tptp.op @t1 tptp.e3)) % 0.44/0.63 (define @t64 () (= @t63 (tptp.op tptp.e3 @t1))) % 0.44/0.63 (define @t65 () (tptp.op @t1 tptp.e2)) % 0.44/0.63 (define @t66 () (= @t65 (tptp.op tptp.e3 @t3))) % 0.44/0.63 (define @t67 () (tptp.op @t1 tptp.e1)) % 0.44/0.63 (define @t68 () (= @t67 (tptp.op tptp.e3 @t5))) % 0.44/0.63 (define @t69 () (tptp.op @t1 tptp.e0)) % 0.44/0.63 (define @t70 () (= @t69 (tptp.op tptp.e3 @t7))) % 0.44/0.63 (define @t71 () (tptp.op @t3 tptp.e3)) % 0.44/0.63 (define @t72 () (= @t71 (tptp.op tptp.e3 @t9))) % 0.44/0.63 (define @t73 () (tptp.op @t3 tptp.e2)) % 0.44/0.63 (define @t74 () (= @t73 (tptp.op tptp.e3 @t11))) % 0.44/0.63 (define @t75 () (tptp.op @t3 tptp.e1)) % 0.44/0.63 (define @t76 () (= @t75 (tptp.op tptp.e3 @t13))) % 0.44/0.63 (define @t77 () (tptp.op @t3 tptp.e0)) % 0.44/0.63 (define @t78 () (= @t77 (tptp.op tptp.e3 @t15))) % 0.44/0.63 (define @t79 () (tptp.op @t5 tptp.e3)) % 0.44/0.63 (define @t80 () (= @t79 (tptp.op tptp.e3 @t17))) % 0.44/0.63 (define @t81 () (tptp.op @t5 tptp.e2)) % 0.44/0.63 (define @t82 () (= @t81 (tptp.op tptp.e3 @t19))) % 0.44/0.63 (define @t83 () (tptp.op tptp.e3 @t21)) % 0.44/0.63 (define @t84 () (tptp.op @t5 tptp.e1)) % 0.44/0.63 (define @t85 () (= @t84 @t83)) % 0.44/0.63 (define @t86 () (tptp.op @t5 tptp.e0)) % 0.44/0.63 (define @t87 () (= @t86 (tptp.op tptp.e3 @t23))) % 0.44/0.63 (define @t88 () (tptp.op tptp.e3 @t25)) % 0.44/0.63 (define @t89 () (tptp.op @t7 tptp.e3)) % 0.44/0.63 (define @t90 () (= @t89 @t88)) % 0.44/0.63 (define @t91 () (tptp.op tptp.e3 @t27)) % 0.44/0.63 (define @t92 () (tptp.op @t7 tptp.e2)) % 0.44/0.63 (define @t93 () (= @t92 @t91)) % 0.44/0.63 (define @t94 () (tptp.op tptp.e3 @t29)) % 0.44/0.63 (define @t95 () (tptp.op @t7 tptp.e1)) % 0.44/0.63 (define @t96 () (= @t95 @t94)) % 0.44/0.63 (define @t97 () (tptp.op @t7 tptp.e0)) % 0.44/0.63 (define @t98 () (= @t97 (tptp.op tptp.e3 @t31))) % 0.44/0.63 (define @t99 () (tptp.op @t9 tptp.e3)) % 0.44/0.63 (define @t100 () (= @t99 (tptp.op tptp.e2 @t1))) % 0.44/0.63 (define @t101 () (tptp.op @t9 tptp.e2)) % 0.44/0.63 (define @t102 () (= @t101 (tptp.op tptp.e2 @t3))) % 0.44/0.63 (define @t103 () (tptp.op @t9 tptp.e1)) % 0.44/0.63 (define @t104 () (= @t103 (tptp.op tptp.e2 @t5))) % 0.44/0.63 (define @t105 () (tptp.op @t9 tptp.e0)) % 0.44/0.63 (define @t106 () (= @t105 (tptp.op tptp.e2 @t7))) % 0.44/0.63 (define @t107 () (tptp.op @t11 tptp.e3)) % 0.44/0.63 (define @t108 () (= @t107 (tptp.op tptp.e2 @t9))) % 0.44/0.63 (define @t109 () (tptp.op @t11 tptp.e2)) % 0.44/0.63 (define @t110 () (= @t109 (tptp.op tptp.e2 @t11))) % 0.44/0.63 (define @t111 () (tptp.op @t11 tptp.e1)) % 0.44/0.63 (define @t112 () (= @t111 (tptp.op tptp.e2 @t13))) % 0.44/0.63 (define @t113 () (tptp.op @t11 tptp.e0)) % 0.44/0.63 (define @t114 () (= @t113 (tptp.op tptp.e2 @t15))) % 0.44/0.63 (define @t115 () (tptp.op @t13 tptp.e3)) % 0.44/0.63 (define @t116 () (= @t115 (tptp.op tptp.e2 @t17))) % 0.44/0.63 (define @t117 () (tptp.op @t13 tptp.e2)) % 0.44/0.63 (define @t118 () (= @t117 (tptp.op tptp.e2 @t19))) % 0.44/0.63 (define @t119 () (tptp.op tptp.e2 @t21)) % 0.44/0.63 (define @t120 () (tptp.op @t13 tptp.e1)) % 0.44/0.63 (define @t121 () (= @t120 @t119)) % 0.44/0.63 (define @t122 () (tptp.op @t13 tptp.e0)) % 0.44/0.63 (define @t123 () (= @t122 (tptp.op tptp.e2 @t23))) % 0.44/0.63 (define @t124 () (tptp.op @t15 tptp.e3)) % 0.44/0.63 (define @t125 () (= @t124 (tptp.op tptp.e2 @t25))) % 0.44/0.63 (define @t126 () (tptp.op tptp.e2 @t27)) % 0.44/0.63 (define @t127 () (tptp.op @t15 tptp.e2)) % 0.44/0.63 (define @t128 () (= @t127 @t126)) % 0.44/0.63 (define @t129 () (tptp.op tptp.e2 @t29)) % 0.44/0.63 (define @t130 () (tptp.op @t15 tptp.e1)) % 0.44/0.63 (define @t131 () (= @t130 @t129)) % 0.44/0.63 (define @t132 () (tptp.op @t15 tptp.e0)) % 0.44/0.63 (define @t133 () (= @t132 (tptp.op tptp.e2 @t31))) % 0.44/0.63 (define @t134 () (tptp.op @t17 tptp.e3)) % 0.44/0.63 (define @t135 () (= @t134 (tptp.op tptp.e1 @t1))) % 0.44/0.63 (define @t136 () (tptp.op @t17 tptp.e2)) % 0.44/0.63 (define @t137 () (= @t136 (tptp.op tptp.e1 @t3))) % 0.44/0.63 (define @t138 () (tptp.op @t17 tptp.e1)) % 0.44/0.63 (define @t139 () (= @t138 (tptp.op tptp.e1 @t5))) % 0.44/0.63 (define @t140 () (tptp.op @t17 tptp.e0)) % 0.44/0.63 (define @t141 () (= @t140 (tptp.op tptp.e1 @t7))) % 0.44/0.63 (define @t142 () (tptp.op @t19 tptp.e3)) % 0.44/0.63 (define @t143 () (= @t142 (tptp.op tptp.e1 @t9))) % 0.44/0.63 (define @t144 () (tptp.op @t19 tptp.e2)) % 0.44/0.63 (define @t145 () (= @t144 (tptp.op tptp.e1 @t11))) % 0.44/0.63 (define @t146 () (tptp.op @t19 tptp.e1)) % 0.44/0.63 (define @t147 () (= @t146 (tptp.op tptp.e1 @t13))) % 0.44/0.63 (define @t148 () (tptp.op @t19 tptp.e0)) % 0.44/0.63 (define @t149 () (= @t148 (tptp.op tptp.e1 @t15))) % 0.44/0.63 (define @t150 () (tptp.op @t21 tptp.e3)) % 0.44/0.63 (define @t151 () (= @t150 (tptp.op tptp.e1 @t17))) % 0.44/0.63 (define @t152 () (tptp.op @t21 tptp.e2)) % 0.44/0.63 (define @t153 () (= @t152 (tptp.op tptp.e1 @t19))) % 0.44/0.63 (define @t154 () (tptp.op tptp.e1 @t21)) % 0.44/0.63 (define @t155 () (tptp.op @t21 tptp.e1)) % 0.44/0.63 (define @t156 () (= @t155 @t154)) % 0.44/0.63 (define @t157 () (tptp.op @t21 tptp.e0)) % 0.44/0.63 (define @t158 () (= @t157 (tptp.op tptp.e1 @t23))) % 0.44/0.63 (define @t159 () (tptp.op tptp.e1 @t25)) % 0.44/0.63 (define @t160 () (tptp.op @t23 tptp.e3)) % 0.44/0.63 (define @t161 () (= @t160 @t159)) % 0.44/0.63 (define @t162 () (tptp.op tptp.e1 @t27)) % 0.44/0.63 (define @t163 () (tptp.op @t23 tptp.e2)) % 0.44/0.63 (define @t164 () (= @t163 @t162)) % 0.44/0.63 (define @t165 () (tptp.op tptp.e1 @t29)) % 0.44/0.63 (define @t166 () (tptp.op @t23 tptp.e1)) % 0.44/0.63 (define @t167 () (= @t166 @t165)) % 0.44/0.63 (define @t168 () (tptp.op @t23 tptp.e0)) % 0.44/0.63 (define @t169 () (= @t168 (tptp.op tptp.e1 @t31))) % 0.44/0.63 (define @t170 () (tptp.op @t25 tptp.e3)) % 0.44/0.63 (define @t171 () (= @t170 (tptp.op tptp.e0 @t1))) % 0.44/0.63 (define @t172 () (tptp.op @t25 tptp.e2)) % 0.44/0.63 (define @t173 () (= @t172 (tptp.op tptp.e0 @t3))) % 0.44/0.63 (define @t174 () (tptp.op @t25 tptp.e1)) % 0.44/0.63 (define @t175 () (= @t174 (tptp.op tptp.e0 @t5))) % 0.44/0.63 (define @t176 () (tptp.op @t25 tptp.e0)) % 0.44/0.63 (define @t177 () (= @t176 (tptp.op tptp.e0 @t7))) % 0.44/0.63 (define @t178 () (tptp.op @t27 tptp.e3)) % 0.44/0.63 (define @t179 () (= @t178 (tptp.op tptp.e0 @t9))) % 0.44/0.63 (define @t180 () (tptp.op @t27 tptp.e2)) % 0.44/0.63 (define @t181 () (= @t180 (tptp.op tptp.e0 @t11))) % 0.44/0.63 (define @t182 () (tptp.op @t27 tptp.e1)) % 0.44/0.63 (define @t183 () (= @t182 (tptp.op tptp.e0 @t13))) % 0.44/0.63 (define @t184 () (tptp.op @t27 tptp.e0)) % 0.44/0.63 (define @t185 () (= @t184 (tptp.op tptp.e0 @t15))) % 0.44/0.63 (define @t186 () (tptp.op @t29 tptp.e3)) % 0.44/0.63 (define @t187 () (= @t186 (tptp.op tptp.e0 @t17))) % 0.44/0.63 (define @t188 () (tptp.op @t29 tptp.e2)) % 0.44/0.63 (define @t189 () (= @t188 (tptp.op tptp.e0 @t19))) % 0.44/0.63 (define @t190 () (tptp.op tptp.e0 @t21)) % 0.44/0.63 (define @t191 () (tptp.op @t29 tptp.e1)) % 0.44/0.63 (define @t192 () (= @t191 @t190)) % 0.44/0.63 (define @t193 () (tptp.op @t29 tptp.e0)) % 0.44/0.63 (define @t194 () (= @t193 (tptp.op tptp.e0 @t23))) % 0.44/0.63 (define @t195 () (tptp.op @t31 tptp.e3)) % 0.44/0.63 (define @t196 () (= @t195 (tptp.op tptp.e0 @t25))) % 0.44/0.63 (define @t197 () (tptp.op tptp.e0 @t27)) % 0.44/0.63 (define @t198 () (tptp.op @t31 tptp.e2)) % 0.44/0.63 (define @t199 () (= @t198 @t197)) % 0.44/0.63 (define @t200 () (tptp.op tptp.e0 @t29)) % 0.44/0.63 (define @t201 () (tptp.op @t31 tptp.e1)) % 0.44/0.63 (define @t202 () (= @t201 @t200)) % 0.44/0.63 (define @t203 () (tptp.op @t31 tptp.e0)) % 0.44/0.63 (define @t204 () (= @t203 (tptp.op tptp.e0 @t31))) % 0.44/0.63 (define @t205 () (= @t1 tptp.e3)) % 0.44/0.63 (define @t206 () (= @t1 tptp.e2)) % 0.44/0.63 (define @t207 () (= @t1 tptp.e1)) % 0.44/0.63 (define @t208 () (or @t2 @t207 @t206 @t205)) % 0.44/0.63 (define @t209 () (or (= @t3 tptp.e0) @t4 (= @t3 tptp.e2) (= @t3 tptp.e3))) % 0.44/0.63 (define @t210 () (or (= @t5 tptp.e0) (= @t5 tptp.e1) @t6 (= @t5 tptp.e3))) % 0.44/0.63 (define @t211 () (or (= @t7 tptp.e0) (= @t7 tptp.e1) (= @t7 tptp.e2) @t8)) % 0.44/0.63 (define @t212 () (or (= @t9 tptp.e0) @t10 (= @t9 tptp.e2) (= @t9 tptp.e3))) % 0.44/0.63 (define @t213 () (= @t11 tptp.e2)) % 0.44/0.63 (define @t214 () (= @t11 tptp.e1)) % 0.44/0.63 (define @t215 () (= @t11 tptp.e0)) % 0.44/0.63 (define @t216 () (or @t215 @t214 @t213 @t12)) % 0.44/0.63 (define @t217 () (or @t14 (= @t13 tptp.e1) (= @t13 tptp.e2) (= @t13 tptp.e3))) % 0.44/0.63 (define @t218 () (or (= @t15 tptp.e0) (= @t15 tptp.e1) @t16 (= @t15 tptp.e3))) % 0.44/0.63 (define @t219 () (or (= @t17 tptp.e0) (= @t17 tptp.e1) @t18 (= @t17 tptp.e3))) % 0.44/0.63 (define @t220 () (or @t20 (= @t19 tptp.e1) (= @t19 tptp.e2) (= @t19 tptp.e3))) % 0.44/0.63 (define @t221 () (= @t21 tptp.e2)) % 0.44/0.63 (define @t222 () (= @t21 tptp.e1)) % 0.44/0.63 (define @t223 () (= @t21 tptp.e0)) % 0.44/0.63 (define @t224 () (or @t223 @t222 @t221 @t22)) % 0.44/0.63 (define @t225 () (or (= @t23 tptp.e0) @t24 (= @t23 tptp.e2) (= @t23 tptp.e3))) % 0.44/0.63 (define @t226 () (or (= @t25 tptp.e0) (= @t25 tptp.e1) (= @t25 tptp.e2) @t26)) % 0.44/0.63 (define @t227 () (or (= @t27 tptp.e0) (= @t27 tptp.e1) @t28 (= @t27 tptp.e3))) % 0.44/0.63 (define @t228 () (or (= @t29 tptp.e0) @t30 (= @t29 tptp.e2) (= @t29 tptp.e3))) % 0.44/0.63 (define @t229 () (= @t31 tptp.e3)) % 0.44/0.63 (define @t230 () (= @t31 tptp.e2)) % 0.44/0.63 (define @t231 () (= @t31 tptp.e1)) % 0.44/0.63 (define @t232 () (or @t32 @t231 @t230 @t229)) % 0.44/0.63 (define @t233 () (and @t229 @t22 @t12 @t205)) % 0.44/0.63 (define @t234 () (and @t230 @t221 @t213 @t206)) % 0.44/0.63 (define @t235 () (and @t231 @t222 @t214 @t207)) % 0.44/0.63 (define @t236 () (and @t32 @t223 @t215 @t2)) % 0.44/0.63 (define @t237 () (or @t236 @t235 @t234 @t233)) % 0.44/0.63 (define @t238 () (not @t237)) % 0.44/0.63 (define @t239 () (and @t238 @t232 @t228 @t227 @t226 @t225 @t224 @t220 @t219 @t218 @t217 @t216 @t212 @t211 @t210 @t209 @t208 @t204 @t202 @t199 @t196 @t194 @t192 @t189 @t187 @t185 @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t169 @t167 @t164 @t161 @t158 @t156 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t128 @t125 @t123 @t121 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t93 @t90 @t87 @t85 @t82 @t80 @t78 @t76 @t74 @t72 @t70 @t68 @t66 @t64 (= @t62 tptp.e0) (= @t61 tptp.e0) (= @t60 tptp.e1) (= @t59 tptp.e1) (= @t58 tptp.e2) (= @t57 tptp.e2) (= @t56 tptp.e3) (= @t55 tptp.e3) @t54 (= @t53 tptp.unit) (= @t52 tptp.unit) (= @t51 tptp.unit) (= @t50 tptp.unit) (= @t49 tptp.unit) (= @t48 tptp.unit) (= @t47 tptp.unit) (= @t46 tptp.unit) @t45 @t44 @t43 @t42)) % 0.44/0.63 (define @t240 () (not @t239)) % 0.44/0.63 (define @t241 () (= tptp.e3 @t34)) % 0.44/0.63 (define @t242 () (or (= tptp.e0 @t34) (= tptp.e1 @t34) (= tptp.e2 @t34) @t241)) % 0.44/0.63 (define @t243 () (@list false)) % 0.44/0.63 (define @t244 () (= tptp.e1 @t36)) % 0.44/0.63 (define @t245 () (or (= tptp.e0 @t36) @t244 (= tptp.e2 @t36) (= tptp.e3 @t36))) % 0.44/0.63 (define @t246 () (= tptp.e2 @t38)) % 0.44/0.63 (define @t247 () (or (= tptp.e0 @t38) (= tptp.e1 @t38) @t246 (= tptp.e3 @t38))) % 0.44/0.63 (define @t248 () (= tptp.e0 @t40)) % 0.44/0.63 (define @t249 () (or @t248 (= tptp.e1 @t40) (= tptp.e2 @t40) (= tptp.e3 @t40))) % 0.44/0.63 (define @t250 () (= tptp.e0 tptp.unit)) % 0.44/0.63 (define @t251 () (or @t250 (= tptp.e1 tptp.unit) (= tptp.e2 tptp.unit) (= tptp.e3 tptp.unit))) % 0.44/0.63 (define @t252 () (= tptp.e3 @t1)) % 0.44/0.63 (define @t253 () (= tptp.e2 @t1)) % 0.44/0.63 (define @t254 () (= tptp.e1 @t1)) % 0.44/0.63 (define @t255 () (= tptp.e0 @t1)) % 0.44/0.63 (define @t256 () (or @t255 @t254 @t253 @t252)) % 0.44/0.63 (define @t257 () (= tptp.e1 @t3)) % 0.44/0.63 (define @t258 () (or (= tptp.e0 @t3) @t257 (= tptp.e2 @t3) (= tptp.e3 @t3))) % 0.44/0.63 (define @t259 () (= tptp.e2 @t5)) % 0.44/0.63 (define @t260 () (or (= tptp.e0 @t5) (= tptp.e1 @t5) @t259 (= tptp.e3 @t5))) % 0.44/0.63 (define @t261 () (= tptp.e3 @t7)) % 0.44/0.63 (define @t262 () (or (= tptp.e0 @t7) (= tptp.e1 @t7) (= tptp.e2 @t7) @t261)) % 0.44/0.63 (define @t263 () (= tptp.e1 @t9)) % 0.44/0.63 (define @t264 () (or (= tptp.e0 @t9) @t263 (= tptp.e2 @t9) (= tptp.e3 @t9))) % 0.44/0.63 (define @t265 () (= tptp.e3 @t11)) % 0.44/0.63 (define @t266 () (= tptp.e2 @t11)) % 0.44/0.63 (define @t267 () (= tptp.e1 @t11)) % 0.44/0.63 (define @t268 () (= tptp.e0 @t11)) % 0.44/0.63 (define @t269 () (or @t268 @t267 @t266 @t265)) % 0.44/0.63 (define @t270 () (= tptp.e0 @t13)) % 0.44/0.63 (define @t271 () (or @t270 (= tptp.e1 @t13) (= tptp.e2 @t13) (= tptp.e3 @t13))) % 0.44/0.63 (define @t272 () (= tptp.e2 @t15)) % 0.44/0.63 (define @t273 () (or (= tptp.e0 @t15) (= tptp.e1 @t15) @t272 (= tptp.e3 @t15))) % 0.44/0.63 (define @t274 () (= tptp.e2 @t17)) % 0.44/0.63 (define @t275 () (or (= tptp.e0 @t17) (= tptp.e1 @t17) @t274 (= tptp.e3 @t17))) % 0.44/0.63 (define @t276 () (= tptp.e0 @t19)) % 0.44/0.63 (define @t277 () (or @t276 (= tptp.e1 @t19) (= tptp.e2 @t19) (= tptp.e3 @t19))) % 0.44/0.63 (define @t278 () (= tptp.e3 @t21)) % 0.44/0.63 (define @t279 () (= tptp.e2 @t21)) % 0.44/0.63 (define @t280 () (= tptp.e1 @t21)) % 0.44/0.63 (define @t281 () (= tptp.e0 @t21)) % 0.44/0.63 (define @t282 () (or @t281 @t280 @t279 @t278)) % 0.44/0.63 (define @t283 () (= tptp.e1 @t23)) % 0.44/0.63 (define @t284 () (or (= tptp.e0 @t23) @t283 (= tptp.e2 @t23) (= tptp.e3 @t23))) % 0.44/0.63 (define @t285 () (= tptp.e3 @t25)) % 0.44/0.63 (define @t286 () (or (= tptp.e0 @t25) (= tptp.e1 @t25) (= tptp.e2 @t25) @t285)) % 0.44/0.63 (define @t287 () (= tptp.e2 @t27)) % 0.44/0.63 (define @t288 () (or (= tptp.e0 @t27) (= tptp.e1 @t27) @t287 (= tptp.e3 @t27))) % 0.44/0.63 (define @t289 () (= tptp.e1 @t29)) % 0.44/0.63 (define @t290 () (or (= tptp.e0 @t29) @t289 (= tptp.e2 @t29) (= tptp.e3 @t29))) % 0.44/0.63 (define @t291 () (= tptp.e3 @t31)) % 0.44/0.63 (define @t292 () (= tptp.e2 @t31)) % 0.44/0.63 (define @t293 () (= tptp.e1 @t31)) % 0.44/0.63 (define @t294 () (= tptp.e0 @t31)) % 0.44/0.63 (define @t295 () (or @t294 @t293 @t292 @t291)) % 0.44/0.63 (define @t296 () (not @t242)) % 0.44/0.63 (define @t297 () (not @t245)) % 0.44/0.63 (define @t298 () (not @t247)) % 0.44/0.63 (define @t299 () (not @t249)) % 0.44/0.63 (define @t300 () (= tptp.unit @t46)) % 0.44/0.63 (define @t301 () (not @t300)) % 0.44/0.63 (define @t302 () (= tptp.unit @t47)) % 0.44/0.63 (define @t303 () (not @t302)) % 0.44/0.63 (define @t304 () (= tptp.unit @t48)) % 0.44/0.63 (define @t305 () (not @t304)) % 0.44/0.63 (define @t306 () (= tptp.unit @t49)) % 0.44/0.63 (define @t307 () (not @t306)) % 0.44/0.63 (define @t308 () (= tptp.unit @t50)) % 0.44/0.63 (define @t309 () (not @t308)) % 0.44/0.63 (define @t310 () (= tptp.unit @t51)) % 0.44/0.63 (define @t311 () (not @t310)) % 0.44/0.63 (define @t312 () (= tptp.unit @t52)) % 0.44/0.63 (define @t313 () (not @t312)) % 0.44/0.63 (define @t314 () (= tptp.unit @t53)) % 0.44/0.63 (define @t315 () (not @t314)) % 0.44/0.63 (define @t316 () (not @t251)) % 0.44/0.63 (define @t317 () (= tptp.e3 @t55)) % 0.44/0.63 (define @t318 () (not @t317)) % 0.44/0.63 (define @t319 () (= tptp.e3 @t56)) % 0.44/0.63 (define @t320 () (not @t319)) % 0.44/0.63 (define @t321 () (= tptp.e2 @t57)) % 0.44/0.63 (define @t322 () (not @t321)) % 0.44/0.63 (define @t323 () (= tptp.e2 @t58)) % 0.44/0.63 (define @t324 () (not @t323)) % 0.44/0.63 (define @t325 () (= tptp.e1 @t59)) % 0.44/0.63 (define @t326 () (not @t325)) % 0.44/0.63 (define @t327 () (= tptp.e1 @t60)) % 0.44/0.63 (define @t328 () (not @t327)) % 0.44/0.63 (define @t329 () (= tptp.e0 @t61)) % 0.44/0.63 (define @t330 () (not @t329)) % 0.44/0.63 (define @t331 () (= tptp.e0 @t62)) % 0.44/0.63 (define @t332 () (not @t331)) % 0.44/0.63 (define @t333 () (not @t64)) % 0.44/0.63 (define @t334 () (not @t66)) % 0.44/0.63 (define @t335 () (not @t68)) % 0.44/0.63 (define @t336 () (not @t70)) % 0.44/0.63 (define @t337 () (not @t72)) % 0.44/0.63 (define @t338 () (not @t74)) % 0.44/0.63 (define @t339 () (not @t76)) % 0.44/0.63 (define @t340 () (not @t78)) % 0.44/0.63 (define @t341 () (not @t80)) % 0.44/0.63 (define @t342 () (not @t82)) % 0.44/0.63 (define @t343 () (not @t85)) % 0.44/0.63 (define @t344 () (not @t87)) % 0.44/0.63 (define @t345 () (not @t90)) % 0.44/0.63 (define @t346 () (not @t93)) % 0.44/0.63 (define @t347 () (not @t96)) % 0.44/0.63 (define @t348 () (not @t98)) % 0.44/0.63 (define @t349 () (not @t100)) % 0.44/0.63 (define @t350 () (not @t102)) % 0.44/0.63 (define @t351 () (not @t104)) % 0.44/0.63 (define @t352 () (not @t106)) % 0.44/0.63 (define @t353 () (not @t108)) % 0.44/0.63 (define @t354 () (not @t110)) % 0.44/0.63 (define @t355 () (not @t112)) % 0.44/0.63 (define @t356 () (not @t114)) % 0.44/0.63 (define @t357 () (not @t116)) % 0.44/0.63 (define @t358 () (not @t118)) % 0.44/0.63 (define @t359 () (not @t121)) % 0.44/0.63 (define @t360 () (not @t123)) % 0.44/0.63 (define @t361 () (not @t125)) % 0.44/0.63 (define @t362 () (not @t128)) % 0.44/0.63 (define @t363 () (not @t131)) % 0.44/0.63 (define @t364 () (not @t133)) % 0.44/0.63 (define @t365 () (not @t135)) % 0.44/0.63 (define @t366 () (not @t137)) % 0.44/0.63 (define @t367 () (not @t139)) % 0.44/0.63 (define @t368 () (not @t141)) % 0.44/0.63 (define @t369 () (not @t143)) % 0.44/0.63 (define @t370 () (not @t145)) % 0.44/0.63 (define @t371 () (not @t147)) % 0.44/0.63 (define @t372 () (not @t149)) % 0.44/0.63 (define @t373 () (not @t151)) % 0.44/0.63 (define @t374 () (not @t153)) % 0.44/0.63 (define @t375 () (not @t156)) % 0.44/0.63 (define @t376 () (not @t158)) % 0.44/0.63 (define @t377 () (not @t161)) % 0.44/0.63 (define @t378 () (not @t164)) % 0.44/0.63 (define @t379 () (not @t167)) % 0.44/0.63 (define @t380 () (not @t169)) % 0.44/0.63 (define @t381 () (not @t171)) % 0.44/0.63 (define @t382 () (not @t173)) % 0.44/0.63 (define @t383 () (not @t175)) % 0.44/0.63 (define @t384 () (not @t177)) % 0.44/0.63 (define @t385 () (not @t179)) % 0.44/0.63 (define @t386 () (not @t181)) % 0.44/0.63 (define @t387 () (not @t183)) % 0.44/0.63 (define @t388 () (not @t185)) % 0.44/0.63 (define @t389 () (not @t187)) % 0.44/0.63 (define @t390 () (not @t189)) % 0.44/0.63 (define @t391 () (not @t192)) % 0.44/0.63 (define @t392 () (not @t194)) % 0.44/0.63 (define @t393 () (not @t196)) % 0.44/0.63 (define @t394 () (not @t199)) % 0.44/0.63 (define @t395 () (not @t202)) % 0.44/0.63 (define @t396 () (not @t204)) % 0.44/0.63 (define @t397 () (not @t256)) % 0.44/0.63 (define @t398 () (not @t258)) % 0.44/0.63 (define @t399 () (not @t260)) % 0.44/0.63 (define @t400 () (not @t262)) % 0.44/0.63 (define @t401 () (not @t264)) % 0.44/0.63 (define @t402 () (not @t269)) % 0.44/0.63 (define @t403 () (not @t271)) % 0.44/0.63 (define @t404 () (not @t273)) % 0.44/0.63 (define @t405 () (not @t275)) % 0.44/0.63 (define @t406 () (not @t277)) % 0.44/0.63 (define @t407 () (not @t282)) % 0.44/0.63 (define @t408 () (not @t284)) % 0.44/0.63 (define @t409 () (not @t286)) % 0.44/0.63 (define @t410 () (not @t288)) % 0.44/0.63 (define @t411 () (not @t290)) % 0.44/0.63 (define @t412 () (not @t295)) % 0.44/0.63 (define @t413 () (and @t291 @t278 @t265 @t252)) % 0.44/0.63 (define @t414 () (and @t292 @t279 @t266 @t253)) % 0.44/0.63 (define @t415 () (and @t293 @t280 @t267 @t254)) % 0.44/0.63 (define @t416 () (and @t294 @t281 @t268 @t255)) % 0.44/0.63 (define @t417 () (or @t416 @t415 @t414 @t413)) % 0.44/0.63 (define @t418 () (not @t417)) % 0.44/0.63 (define @t419 () (not @t414)) % 0.44/0.63 (define @t420 () (@list true)) % 0.44/0.63 (define @t421 () (not @t415)) % 0.44/0.63 (define @t422 () (not @t416)) % 0.44/0.63 (assume @p1 (and (not (= tptp.e0 tptp.e1)) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e1 tptp.e2)) (not (= tptp.e1 tptp.e3)) (not (= tptp.e2 tptp.e3)))) % 0.44/0.63 (assume @p2 (and @t32 @t30 @t28 @t26 @t24 @t22 @t20 @t18 @t16 @t14 @t12 @t10 @t8 @t6 @t4 @t2)) % 0.44/0.63 (assume @p3 @t33) % 0.44/0.63 (assume @p4 (and @t41 @t39 @t37 @t35)) % 0.44/0.63 (assume @p5 @t240) % 0.44/0.63 (assume @p6 true) % 0.44/0.63 (step @p7 :rule evaluate :args ((= false true))) % 0.44/0.63 (step @p8 :rule and_elim :premises (@p4) :args (3)) % 0.44/0.63 (step @p9 :rule symm :premises (@p8)) % 0.44/0.63 (step @p10 :rule cnf_or_neg :args (@t242 3)) % 0.44/0.63 (step @p11 :rule chain_m_resolution :premises (@p10 @p9) :args (@t242 @t243 (@list @t241))) % 0.44/0.63 (step @p12 :rule and_elim :premises (@p4) :args (2)) % 0.44/0.63 (step @p13 :rule symm :premises (@p12)) % 0.44/0.63 (step @p14 :rule cnf_or_neg :args (@t245 1)) % 0.44/0.63 (step @p15 :rule chain_m_resolution :premises (@p14 @p13) :args (@t245 @t243 (@list @t244))) % 0.44/0.63 (step @p16 :rule and_elim :premises (@p4) :args (1)) % 0.44/0.63 (step @p17 :rule symm :premises (@p16)) % 0.44/0.63 (step @p18 :rule cnf_or_neg :args (@t247 2)) % 0.44/0.63 (step @p19 :rule chain_m_resolution :premises (@p18 @p17) :args (@t247 @t243 (@list @t246))) % 0.44/0.63 (step @p20 :rule and_elim :premises (@p4) :args (0)) % 0.44/0.63 (step @p21 :rule symm :premises (@p20)) % 0.44/0.63 (step @p22 :rule cnf_or_neg :args (@t249 0)) % 0.44/0.63 (step @p23 :rule chain_m_resolution :premises (@p22 @p21) :args (@t249 @t243 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@p603 @p578 @p553) :args (@t236)) % 0.44/0.63 (step @p634 :rule nary_cong :premises (@p633 @p632 @p631 @p630) :args (@t237)) % 0.44/0.63 (step @p635 :rule cong :premises (@p634) :args (@t238)) % 0.44/0.63 (step @p636 :rule nary_cong :premises (@p635 @p629 @p624 @p619 @p614 @p609 @p604 @p599 @p594 @p589 @p584 @p579 @p574 @p569 @p564 @p559 @p554 @p549 @p548 @p547 @p546 @p545 @p544 @p543 @p542 @p541 @p540 @p539 @p538 @p537 @p536 @p535 @p534 @p533 @p532 @p531 @p530 @p529 @p528 @p527 @p526 @p525 @p524 @p523 @p522 @p521 @p520 @p519 @p518 @p517 @p516 @p515 @p514 @p513 @p512 @p511 @p510 @p509 @p508 @p507 @p506 @p505 @p504 @p503 @p502 @p501 @p500 @p499 @p498 @p497 @p496 @p495 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p486 @p485 @p484 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p472 @p471 @p470 @p469 @p468 @p467 @p466 @p465 @p464 @p459 @p454 @p449) :args (@t239)) % 0.44/0.63 (step @p637 :rule cong :premises (@p636) :args (@t240)) % 0.44/0.63 (step @p638 :rule eq_resolve :premises (@p5 @p637)) % 0.44/0.63 (step @p639 :rule not_and :premises (@p638)) % 0.44/0.63 (step @p640 :rule eq_resolve :premises (@p639 @p444)) % 0.44/0.63 (step @p641 :rule chain_m_resolution :premises (@p640 @p341 @p339 @p337 @p335 @p333 @p331 @p329 @p327 @p325 @p323 @p321 @p319 @p317 @p315 @p313 @p311 @p309 @p93 @p85 @p306 @p305 @p302 @p300 @p298 @p296 @p293 @p290 @p287 @p285 @p282 @p279 @p276 @p274 @p271 @p270 @p134 @p269 @p266 @p264 @p261 @p258 @p255 @p252 @p249 @p246 @p239 @p236 @p232 @p229 @p226 @p225 @p224 @p221 @p218 @p216 @p213 @p210 @p207 @p203 @p199 @p195 @p190 @p186 @p183 @p180 @p177 @p176 @p175 @p171 @p167 @p164 @p160 @p153 @p149 @p145 @p137 @p126 @p122 @p115 @p104 @p99 @p97 @p95 @p91 @p87 @p83 @p79 @p75 @p71 @p68 @p66 @p61 @p57 @p55 @p49 @p38 @p35 @p23 @p19 @p15 @p11) :args (@t417 (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t295 @t290 @t288 @t286 @t284 @t282 @t277 @t275 @t273 @t271 @t269 @t264 @t262 @t260 @t258 @t256 @t204 @t202 @t199 @t196 @t194 @t192 @t189 @t187 @t185 @t183 @t181 @t179 @t177 @t175 @t173 @t171 @t169 @t167 @t164 @t161 @t158 @t156 @t153 @t151 @t149 @t147 @t145 @t143 @t141 @t139 @t137 @t135 @t133 @t131 @t128 @t125 @t123 @t121 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t93 @t90 @t87 @t85 @t82 @t80 @t78 @t76 @t74 @t72 @t70 @t68 @t66 @t64 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t251 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t249 @t247 @t245 @t242))) % 0.44/0.63 (step @p642 :rule and_elim :premises (@p1) :args (5)) % 0.44/0.63 (step @p643 :rule false_intro :premises (@p642)) % 0.44/0.63 (step @p644 :rule cong :premises (@p44 @p24) :args (@t279)) % 0.44/0.63 (step @p645 :rule trans :premises (@p644 @p643)) % 0.44/0.63 (step @p646 :rule false_elim :premises (@p645)) % 0.44/0.63 (step @p647 :rule cnf_and_pos :args (@t414 1)) % 0.44/0.63 (step @p648 :rule reordering :premises (@p647) :args ((or @t279 @t419))) % 0.44/0.63 (step @p649 :rule chain_m_resolution :premises (@p648 @p646) :args (@t419 @t420 (@list @t279))) % 0.44/0.63 (step @p650 :rule and_elim :premises (@p1) :args (0)) % 0.44/0.63 (step @p651 :rule symm :premises (@p650)) % 0.44/0.63 (step @p652 :rule false_intro :premises (@p651)) % 0.44/0.63 (step @p653 :rule cong :premises (@p59 @p64) :args (@t293)) % 0.44/0.63 (step @p654 :rule trans :premises (@p653 @p652)) % 0.44/0.63 (step @p655 :rule false_elim :premises (@p654)) % 0.44/0.63 (step @p656 :rule cnf_and_pos :args (@t415 0)) % 0.44/0.63 (step @p657 :rule reordering :premises (@p656) :args ((or @t293 @t421))) % 0.44/0.63 (step @p658 :rule chain_m_resolution :premises (@p657 @p655) :args (@t421 @t420 (@list @t293))) % 0.44/0.63 (step @p659 :rule and_elim :premises (@p1) :args (2)) % 0.44/0.63 (step @p660 :rule false_intro :premises (@p659)) % 0.44/0.63 (step @p661 :rule cong :premises (@p62 @p24) :args (@t281)) % 0.44/0.63 (step @p662 :rule trans :premises (@p661 @p660)) % 0.44/0.63 (step @p663 :rule false_elim :premises (@p662)) % 0.44/0.63 (step @p664 :rule cnf_and_pos :args (@t416 1)) % 0.44/0.63 (step @p665 :rule reordering :premises (@p664) :args ((or @t281 @t422))) % 0.44/0.63 (step @p666 :rule chain_m_resolution :premises (@p665 @p663) :args (@t422 @t420 (@list @t281))) % 0.44/0.63 (step @p667 :rule cnf_or_pos :args (@t417)) % 0.44/0.63 (step @p668 :rule reordering :premises (@p667) :args ((or @t416 @t415 @t414 @t413 @t418))) % 0.44/0.63 (step @p669 :rule chain_m_resolution :premises (@p668 @p666 @p658 @p649 @p641) :args (@t413 (@list true true true false) (@list @t416 @t415 @t414 @t417))) % 0.44/0.63 (step @p670 :rule cnf_and_pos :args (@t413 0)) % 0.44/0.63 (step @p671 :rule reordering :premises (@p670) :args ((or @t291 (not @t413)))) % 0.44/0.63 (step @p672 :rule chain_m_resolution :premises (@p671 @p669) :args (@t291 @t243 (@list @t413))) % 0.44/0.63 (step @p673 :rule symm :premises (@p672)) % 0.44/0.63 (step @p674 :rule trans :premises (@p65 @p673)) % 0.44/0.63 (step @p675 :rule true_intro :premises (@p674)) % 0.44/0.63 (step @p676 :rule symm :premises (@p660)) % 0.44/0.63 (step @p677 :rule trans :premises (@p676 @p675)) % 0.44/0.63 (step @p678 false :rule eq_resolve :premises (@p677 @p7)) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------