%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG021+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 : n023.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 0.43s 0.64s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG021+1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:37:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.64 % SZS status Theorem % 0.43/0.64 % SZS output start Proof % 0.43/0.64 ( % 0.43/0.64 (declare-sort $$unsorted 0) % 0.43/0.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.unit $$unsorted) % 0.43/0.64 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.e0 $$unsorted) % 0.43/0.64 (declare-const tptp.e1 $$unsorted) % 0.43/0.64 (declare-const tptp.e2 $$unsorted) % 0.43/0.64 (declare-const tptp.e3 $$unsorted) % 0.43/0.64 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.43/0.64 (define @t2 () (= @t1 tptp.e0)) % 0.43/0.64 (define @t3 () (tptp.op tptp.e3 tptp.e2)) % 0.43/0.64 (define @t4 () (= @t3 tptp.e1)) % 0.43/0.64 (define @t5 () (tptp.op tptp.e3 tptp.e1)) % 0.43/0.64 (define @t6 () (= @t5 tptp.e2)) % 0.43/0.64 (define @t7 () (tptp.op tptp.e3 tptp.e0)) % 0.43/0.64 (define @t8 () (= @t7 tptp.e3)) % 0.43/0.64 (define @t9 () (tptp.op tptp.e2 tptp.e3)) % 0.43/0.64 (define @t10 () (= @t9 tptp.e1)) % 0.43/0.64 (define @t11 () (tptp.op tptp.e2 tptp.e2)) % 0.43/0.64 (define @t12 () (= @t11 tptp.e0)) % 0.43/0.64 (define @t13 () (tptp.op tptp.e2 tptp.e1)) % 0.43/0.64 (define @t14 () (= @t13 tptp.e3)) % 0.43/0.64 (define @t15 () (tptp.op tptp.e2 tptp.e0)) % 0.43/0.64 (define @t16 () (= @t15 tptp.e2)) % 0.43/0.64 (define @t17 () (tptp.op tptp.e1 tptp.e3)) % 0.43/0.64 (define @t18 () (= @t17 tptp.e2)) % 0.43/0.64 (define @t19 () (tptp.op tptp.e1 tptp.e2)) % 0.43/0.64 (define @t20 () (= @t19 tptp.e3)) % 0.43/0.64 (define @t21 () (tptp.op tptp.e1 tptp.e1)) % 0.43/0.64 (define @t22 () (= @t21 tptp.e0)) % 0.43/0.64 (define @t23 () (tptp.op tptp.e1 tptp.e0)) % 0.43/0.64 (define @t24 () (= @t23 tptp.e1)) % 0.43/0.64 (define @t25 () (tptp.op tptp.e0 tptp.e3)) % 0.43/0.64 (define @t26 () (= @t25 tptp.e3)) % 0.43/0.64 (define @t27 () (tptp.op tptp.e0 tptp.e2)) % 0.43/0.64 (define @t28 () (= @t27 tptp.e2)) % 0.43/0.64 (define @t29 () (tptp.op tptp.e0 tptp.e1)) % 0.43/0.64 (define @t30 () (= @t29 tptp.e1)) % 0.43/0.64 (define @t31 () (tptp.op tptp.e0 tptp.e0)) % 0.43/0.64 (define @t32 () (= @t31 tptp.e0)) % 0.43/0.64 (define @t33 () (= tptp.unit tptp.e0)) % 0.43/0.64 (define @t34 () (tptp.inv tptp.e3)) % 0.43/0.64 (define @t35 () (= @t34 tptp.e3)) % 0.43/0.64 (define @t36 () (tptp.inv tptp.e2)) % 0.43/0.64 (define @t37 () (= @t36 tptp.e2)) % 0.43/0.64 (define @t38 () (tptp.inv tptp.e1)) % 0.43/0.64 (define @t39 () (= @t38 tptp.e1)) % 0.43/0.64 (define @t40 () (tptp.inv tptp.e0)) % 0.43/0.64 (define @t41 () (= @t40 tptp.e0)) % 0.43/0.64 (define @t42 () (or (= @t34 tptp.e0) (= @t34 tptp.e1) (= @t34 tptp.e2) @t35)) % 0.43/0.64 (define @t43 () (or (= @t36 tptp.e0) (= @t36 tptp.e1) @t37 (= @t36 tptp.e3))) % 0.43/0.64 (define @t44 () (or (= @t38 tptp.e0) @t39 (= @t38 tptp.e2) (= @t38 tptp.e3))) % 0.43/0.64 (define @t45 () (or @t41 (= @t40 tptp.e1) (= @t40 tptp.e2) (= @t40 tptp.e3))) % 0.43/0.64 (define @t46 () (tptp.op @t34 tptp.e3)) % 0.43/0.64 (define @t47 () (tptp.op tptp.e3 @t34)) % 0.43/0.64 (define @t48 () (tptp.op @t36 tptp.e2)) % 0.43/0.64 (define @t49 () (tptp.op tptp.e2 @t36)) % 0.43/0.64 (define @t50 () (tptp.op @t38 tptp.e1)) % 0.43/0.64 (define @t51 () (tptp.op tptp.e1 @t38)) % 0.43/0.64 (define @t52 () (tptp.op @t40 tptp.e0)) % 0.43/0.64 (define @t53 () (tptp.op tptp.e0 @t40)) % 0.43/0.64 (define @t54 () (or @t33 (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3))) % 0.43/0.64 (define @t55 () (tptp.op tptp.e3 tptp.unit)) % 0.43/0.64 (define @t56 () (tptp.op tptp.unit tptp.e3)) % 0.43/0.64 (define @t57 () (tptp.op tptp.e2 tptp.unit)) % 0.43/0.64 (define @t58 () (tptp.op tptp.unit tptp.e2)) % 0.43/0.64 (define @t59 () (tptp.op tptp.e1 tptp.unit)) % 0.43/0.64 (define @t60 () (tptp.op tptp.unit tptp.e1)) % 0.43/0.64 (define @t61 () (tptp.op tptp.e0 tptp.unit)) % 0.43/0.64 (define @t62 () (tptp.op tptp.unit tptp.e0)) % 0.43/0.64 (define @t63 () (tptp.op @t1 tptp.e3)) % 0.43/0.64 (define @t64 () (= @t63 (tptp.op tptp.e3 @t1))) % 0.43/0.64 (define @t65 () (tptp.op @t1 tptp.e2)) % 0.43/0.64 (define @t66 () (= @t65 (tptp.op tptp.e3 @t3))) % 0.43/0.64 (define @t67 () (tptp.op @t1 tptp.e1)) % 0.43/0.64 (define @t68 () (= @t67 (tptp.op tptp.e3 @t5))) % 0.43/0.64 (define @t69 () (tptp.op @t1 tptp.e0)) % 0.43/0.64 (define @t70 () (= @t69 (tptp.op tptp.e3 @t7))) % 0.43/0.64 (define @t71 () (tptp.op @t3 tptp.e3)) % 0.43/0.64 (define @t72 () (= @t71 (tptp.op tptp.e3 @t9))) % 0.43/0.64 (define @t73 () (tptp.op @t3 tptp.e2)) % 0.43/0.64 (define @t74 () (= @t73 (tptp.op tptp.e3 @t11))) % 0.43/0.64 (define @t75 () (tptp.op @t3 tptp.e1)) % 0.43/0.64 (define @t76 () (= @t75 (tptp.op tptp.e3 @t13))) % 0.43/0.64 (define @t77 () (tptp.op @t3 tptp.e0)) % 0.43/0.64 (define @t78 () (= @t77 (tptp.op tptp.e3 @t15))) % 0.43/0.64 (define @t79 () (tptp.op @t5 tptp.e3)) % 0.43/0.64 (define @t80 () (= @t79 (tptp.op tptp.e3 @t17))) % 0.43/0.64 (define @t81 () (tptp.op @t5 tptp.e2)) % 0.43/0.64 (define @t82 () (= @t81 (tptp.op tptp.e3 @t19))) % 0.43/0.64 (define @t83 () (tptp.op tptp.e3 @t21)) % 0.43/0.64 (define @t84 () (tptp.op @t5 tptp.e1)) % 0.43/0.64 (define @t85 () (= @t84 @t83)) % 0.43/0.64 (define @t86 () (tptp.op @t5 tptp.e0)) % 0.43/0.64 (define @t87 () (= @t86 (tptp.op tptp.e3 @t23))) % 0.43/0.64 (define @t88 () (tptp.op tptp.e3 @t25)) % 0.43/0.64 (define @t89 () (tptp.op @t7 tptp.e3)) % 0.43/0.64 (define @t90 () (= @t89 @t88)) % 0.43/0.64 (define @t91 () (tptp.op tptp.e3 @t27)) % 0.43/0.64 (define @t92 () (tptp.op @t7 tptp.e2)) % 0.43/0.64 (define @t93 () (= @t92 @t91)) % 0.43/0.64 (define @t94 () (tptp.op tptp.e3 @t29)) % 0.43/0.64 (define @t95 () (tptp.op @t7 tptp.e1)) % 0.43/0.64 (define @t96 () (= @t95 @t94)) % 0.43/0.64 (define @t97 () (tptp.op @t7 tptp.e0)) % 0.43/0.64 (define @t98 () (= @t97 (tptp.op tptp.e3 @t31))) % 0.43/0.64 (define @t99 () (tptp.op @t9 tptp.e3)) % 0.43/0.64 (define @t100 () (= @t99 (tptp.op tptp.e2 @t1))) % 0.43/0.64 (define @t101 () (tptp.op @t9 tptp.e2)) % 0.43/0.64 (define @t102 () (= @t101 (tptp.op tptp.e2 @t3))) % 0.43/0.64 (define @t103 () (tptp.op @t9 tptp.e1)) % 0.43/0.64 (define @t104 () (= @t103 (tptp.op tptp.e2 @t5))) % 0.43/0.64 (define @t105 () (tptp.op @t9 tptp.e0)) % 0.43/0.64 (define @t106 () (= @t105 (tptp.op tptp.e2 @t7))) % 0.43/0.64 (define @t107 () (tptp.op @t11 tptp.e3)) % 0.43/0.64 (define @t108 () (= @t107 (tptp.op tptp.e2 @t9))) % 0.43/0.64 (define @t109 () (tptp.op @t11 tptp.e2)) % 0.43/0.64 (define @t110 () (= @t109 (tptp.op tptp.e2 @t11))) % 0.43/0.64 (define @t111 () (tptp.op @t11 tptp.e1)) % 0.43/0.64 (define @t112 () (= @t111 (tptp.op tptp.e2 @t13))) % 0.43/0.64 (define @t113 () (tptp.op @t11 tptp.e0)) % 0.43/0.64 (define @t114 () (= @t113 (tptp.op tptp.e2 @t15))) % 0.43/0.64 (define @t115 () (tptp.op @t13 tptp.e3)) % 0.43/0.64 (define @t116 () (= @t115 (tptp.op tptp.e2 @t17))) % 0.43/0.64 (define @t117 () (tptp.op @t13 tptp.e2)) % 0.43/0.64 (define @t118 () (= @t117 (tptp.op tptp.e2 @t19))) % 0.43/0.64 (define @t119 () (tptp.op tptp.e2 @t21)) % 0.43/0.64 (define @t120 () (tptp.op @t13 tptp.e1)) % 0.43/0.64 (define @t121 () (= @t120 @t119)) % 0.43/0.64 (define @t122 () (tptp.op @t13 tptp.e0)) % 0.43/0.64 (define @t123 () (= @t122 (tptp.op tptp.e2 @t23))) % 0.43/0.64 (define @t124 () (tptp.op tptp.e2 @t25)) % 0.43/0.64 (define @t125 () (tptp.op @t15 tptp.e3)) % 0.43/0.64 (define @t126 () (= @t125 @t124)) % 0.43/0.64 (define @t127 () (tptp.op tptp.e2 @t27)) % 0.43/0.64 (define @t128 () (tptp.op @t15 tptp.e2)) % 0.43/0.64 (define @t129 () (= @t128 @t127)) % 0.43/0.64 (define @t130 () (tptp.op tptp.e2 @t29)) % 0.43/0.64 (define @t131 () (tptp.op @t15 tptp.e1)) % 0.43/0.64 (define @t132 () (= @t131 @t130)) % 0.43/0.64 (define @t133 () (tptp.op @t15 tptp.e0)) % 0.43/0.64 (define @t134 () (= @t133 (tptp.op tptp.e2 @t31))) % 0.43/0.64 (define @t135 () (tptp.op @t17 tptp.e3)) % 0.43/0.64 (define @t136 () (= @t135 (tptp.op tptp.e1 @t1))) % 0.43/0.64 (define @t137 () (tptp.op @t17 tptp.e2)) % 0.43/0.64 (define @t138 () (= @t137 (tptp.op tptp.e1 @t3))) % 0.43/0.64 (define @t139 () (tptp.op @t17 tptp.e1)) % 0.43/0.64 (define @t140 () (= @t139 (tptp.op tptp.e1 @t5))) % 0.43/0.64 (define @t141 () (tptp.op @t17 tptp.e0)) % 0.43/0.64 (define @t142 () (= @t141 (tptp.op tptp.e1 @t7))) % 0.43/0.64 (define @t143 () (tptp.op @t19 tptp.e3)) % 0.43/0.64 (define @t144 () (= @t143 (tptp.op tptp.e1 @t9))) % 0.43/0.64 (define @t145 () (tptp.op @t19 tptp.e2)) % 0.43/0.64 (define @t146 () (= @t145 (tptp.op tptp.e1 @t11))) % 0.43/0.64 (define @t147 () (tptp.op @t19 tptp.e1)) % 0.43/0.64 (define @t148 () (= @t147 (tptp.op tptp.e1 @t13))) % 0.43/0.64 (define @t149 () (tptp.op @t19 tptp.e0)) % 0.43/0.64 (define @t150 () (= @t149 (tptp.op tptp.e1 @t15))) % 0.43/0.64 (define @t151 () (tptp.op @t21 tptp.e3)) % 0.43/0.64 (define @t152 () (= @t151 (tptp.op tptp.e1 @t17))) % 0.43/0.64 (define @t153 () (tptp.op @t21 tptp.e2)) % 0.43/0.64 (define @t154 () (= @t153 (tptp.op tptp.e1 @t19))) % 0.43/0.64 (define @t155 () (tptp.op tptp.e1 @t21)) % 0.43/0.64 (define @t156 () (tptp.op @t21 tptp.e1)) % 0.43/0.64 (define @t157 () (= @t156 @t155)) % 0.43/0.64 (define @t158 () (tptp.op @t21 tptp.e0)) % 0.43/0.64 (define @t159 () (= @t158 (tptp.op tptp.e1 @t23))) % 0.43/0.64 (define @t160 () (tptp.op tptp.e1 @t25)) % 0.43/0.64 (define @t161 () (tptp.op @t23 tptp.e3)) % 0.43/0.64 (define @t162 () (= @t161 @t160)) % 0.43/0.64 (define @t163 () (tptp.op tptp.e1 @t27)) % 0.43/0.64 (define @t164 () (tptp.op @t23 tptp.e2)) % 0.43/0.64 (define @t165 () (= @t164 @t163)) % 0.43/0.64 (define @t166 () (tptp.op tptp.e1 @t29)) % 0.43/0.64 (define @t167 () (tptp.op @t23 tptp.e1)) % 0.43/0.64 (define @t168 () (= @t167 @t166)) % 0.43/0.64 (define @t169 () (tptp.op @t23 tptp.e0)) % 0.43/0.64 (define @t170 () (= @t169 (tptp.op tptp.e1 @t31))) % 0.43/0.64 (define @t171 () (tptp.op @t25 tptp.e3)) % 0.43/0.64 (define @t172 () (= @t171 (tptp.op tptp.e0 @t1))) % 0.43/0.64 (define @t173 () (tptp.op @t25 tptp.e2)) % 0.43/0.64 (define @t174 () (= @t173 (tptp.op tptp.e0 @t3))) % 0.43/0.64 (define @t175 () (tptp.op @t25 tptp.e1)) % 0.43/0.64 (define @t176 () (= @t175 (tptp.op tptp.e0 @t5))) % 0.43/0.64 (define @t177 () (tptp.op @t25 tptp.e0)) % 0.43/0.64 (define @t178 () (= @t177 (tptp.op tptp.e0 @t7))) % 0.43/0.64 (define @t179 () (tptp.op @t27 tptp.e3)) % 0.43/0.64 (define @t180 () (= @t179 (tptp.op tptp.e0 @t9))) % 0.43/0.64 (define @t181 () (tptp.op @t27 tptp.e2)) % 0.43/0.64 (define @t182 () (= @t181 (tptp.op tptp.e0 @t11))) % 0.43/0.64 (define @t183 () (tptp.op @t27 tptp.e1)) % 0.43/0.64 (define @t184 () (= @t183 (tptp.op tptp.e0 @t13))) % 0.43/0.64 (define @t185 () (tptp.op @t27 tptp.e0)) % 0.43/0.64 (define @t186 () (= @t185 (tptp.op tptp.e0 @t15))) % 0.43/0.64 (define @t187 () (tptp.op @t29 tptp.e3)) % 0.43/0.64 (define @t188 () (= @t187 (tptp.op tptp.e0 @t17))) % 0.43/0.64 (define @t189 () (tptp.op @t29 tptp.e2)) % 0.43/0.64 (define @t190 () (= @t189 (tptp.op tptp.e0 @t19))) % 0.43/0.64 (define @t191 () (tptp.op tptp.e0 @t21)) % 0.43/0.64 (define @t192 () (tptp.op @t29 tptp.e1)) % 0.43/0.64 (define @t193 () (= @t192 @t191)) % 0.43/0.64 (define @t194 () (tptp.op @t29 tptp.e0)) % 0.43/0.64 (define @t195 () (= @t194 (tptp.op tptp.e0 @t23))) % 0.43/0.64 (define @t196 () (tptp.op tptp.e0 @t25)) % 0.43/0.64 (define @t197 () (tptp.op @t31 tptp.e3)) % 0.43/0.64 (define @t198 () (= @t197 @t196)) % 0.43/0.64 (define @t199 () (tptp.op tptp.e0 @t27)) % 0.43/0.64 (define @t200 () (tptp.op @t31 tptp.e2)) % 0.43/0.64 (define @t201 () (= @t200 @t199)) % 0.43/0.64 (define @t202 () (tptp.op tptp.e0 @t29)) % 0.43/0.64 (define @t203 () (tptp.op @t31 tptp.e1)) % 0.43/0.64 (define @t204 () (= @t203 @t202)) % 0.43/0.64 (define @t205 () (tptp.op @t31 tptp.e0)) % 0.43/0.64 (define @t206 () (= @t205 (tptp.op tptp.e0 @t31))) % 0.43/0.64 (define @t207 () (= @t1 tptp.e3)) % 0.43/0.64 (define @t208 () (= @t1 tptp.e2)) % 0.43/0.64 (define @t209 () (= @t1 tptp.e1)) % 0.43/0.64 (define @t210 () (or @t2 @t209 @t208 @t207)) % 0.43/0.64 (define @t211 () (or (= @t3 tptp.e0) @t4 (= @t3 tptp.e2) (= @t3 tptp.e3))) % 0.43/0.64 (define @t212 () (or (= @t5 tptp.e0) (= @t5 tptp.e1) @t6 (= @t5 tptp.e3))) % 0.43/0.64 (define @t213 () (or (= @t7 tptp.e0) (= @t7 tptp.e1) (= @t7 tptp.e2) @t8)) % 0.43/0.64 (define @t214 () (or (= @t9 tptp.e0) @t10 (= @t9 tptp.e2) (= @t9 tptp.e3))) % 0.43/0.64 (define @t215 () (= @t11 tptp.e3)) % 0.43/0.64 (define @t216 () (= @t11 tptp.e2)) % 0.43/0.64 (define @t217 () (= @t11 tptp.e1)) % 0.43/0.64 (define @t218 () (or @t12 @t217 @t216 @t215)) % 0.43/0.64 (define @t219 () (or (= @t13 tptp.e0) (= @t13 tptp.e1) (= @t13 tptp.e2) @t14)) % 0.43/0.64 (define @t220 () (or (= @t15 tptp.e0) (= @t15 tptp.e1) @t16 (= @t15 tptp.e3))) % 0.43/0.64 (define @t221 () (or (= @t17 tptp.e0) (= @t17 tptp.e1) @t18 (= @t17 tptp.e3))) % 0.43/0.64 (define @t222 () (or (= @t19 tptp.e0) (= @t19 tptp.e1) (= @t19 tptp.e2) @t20)) % 0.43/0.64 (define @t223 () (= @t21 tptp.e3)) % 0.43/0.64 (define @t224 () (= @t21 tptp.e2)) % 0.43/0.64 (define @t225 () (= @t21 tptp.e1)) % 0.43/0.64 (define @t226 () (or @t22 @t225 @t224 @t223)) % 0.43/0.64 (define @t227 () (or (= @t23 tptp.e0) @t24 (= @t23 tptp.e2) (= @t23 tptp.e3))) % 0.43/0.64 (define @t228 () (or (= @t25 tptp.e0) (= @t25 tptp.e1) (= @t25 tptp.e2) @t26)) % 0.43/0.64 (define @t229 () (or (= @t27 tptp.e0) (= @t27 tptp.e1) @t28 (= @t27 tptp.e3))) % 0.43/0.64 (define @t230 () (or (= @t29 tptp.e0) @t30 (= @t29 tptp.e2) (= @t29 tptp.e3))) % 0.43/0.64 (define @t231 () (= @t31 tptp.e3)) % 0.43/0.64 (define @t232 () (= @t31 tptp.e2)) % 0.43/0.64 (define @t233 () (= @t31 tptp.e1)) % 0.43/0.64 (define @t234 () (or @t32 @t233 @t232 @t231)) % 0.43/0.64 (define @t235 () (and @t231 @t223 @t215 @t207)) % 0.43/0.64 (define @t236 () (and @t232 @t224 @t216 @t208)) % 0.43/0.64 (define @t237 () (and @t233 @t225 @t217 @t209)) % 0.43/0.64 (define @t238 () (and @t32 @t22 @t12 @t2)) % 0.43/0.64 (define @t239 () (or @t238 @t237 @t236 @t235)) % 0.43/0.64 (define @t240 () (and @t239 @t234 @t230 @t229 @t228 @t227 @t226 @t222 @t221 @t220 @t219 @t218 @t214 @t213 @t212 @t211 @t210 @t206 @t204 @t201 @t198 @t195 @t193 @t190 @t188 @t186 @t184 @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t165 @t162 @t159 @t157 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t129 @t126 @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)) % 0.43/0.64 (define @t241 () (not @t240)) % 0.43/0.64 (define @t242 () (= tptp.e0 @t1)) % 0.43/0.64 (define @t243 () (= tptp.e0 @t11)) % 0.43/0.64 (define @t244 () (= tptp.e0 @t21)) % 0.43/0.64 (define @t245 () (= tptp.e0 @t31)) % 0.43/0.64 (define @t246 () (and @t245 @t244 @t243 @t242)) % 0.43/0.64 (define @t247 () (= tptp.e3 @t1)) % 0.43/0.64 (define @t248 () (= tptp.e3 @t11)) % 0.43/0.64 (define @t249 () (= tptp.e3 @t21)) % 0.43/0.64 (define @t250 () (= tptp.e3 @t31)) % 0.43/0.64 (define @t251 () (= tptp.e2 @t1)) % 0.43/0.64 (define @t252 () (= tptp.e2 @t11)) % 0.43/0.64 (define @t253 () (= tptp.e2 @t21)) % 0.43/0.64 (define @t254 () (= tptp.e2 @t31)) % 0.43/0.64 (define @t255 () (= tptp.e1 @t1)) % 0.43/0.64 (define @t256 () (= tptp.e1 @t11)) % 0.43/0.64 (define @t257 () (= tptp.e1 @t21)) % 0.43/0.64 (define @t258 () (= tptp.e1 @t31)) % 0.43/0.64 (define @t259 () (or @t246 (and @t258 @t257 @t256 @t255) (and @t254 @t253 @t252 @t251) (and @t250 @t249 @t248 @t247))) % 0.43/0.64 (define @t260 () (@list false)) % 0.43/0.64 (define @t261 () (or @t245 @t258 @t254 @t250)) % 0.43/0.64 (define @t262 () (= tptp.e1 @t29)) % 0.43/0.64 (define @t263 () (or (= tptp.e0 @t29) @t262 (= tptp.e2 @t29) (= tptp.e3 @t29))) % 0.43/0.64 (define @t264 () (= tptp.e2 @t27)) % 0.43/0.64 (define @t265 () (or (= tptp.e0 @t27) (= tptp.e1 @t27) @t264 (= tptp.e3 @t27))) % 0.43/0.64 (define @t266 () (= tptp.e3 @t25)) % 0.43/0.64 (define @t267 () (or (= tptp.e0 @t25) (= tptp.e1 @t25) (= tptp.e2 @t25) @t266)) % 0.43/0.64 (define @t268 () (= tptp.e1 @t23)) % 0.43/0.64 (define @t269 () (or (= tptp.e0 @t23) @t268 (= tptp.e2 @t23) (= tptp.e3 @t23))) % 0.43/0.64 (define @t270 () (or @t244 @t257 @t253 @t249)) % 0.43/0.64 (define @t271 () (= tptp.e3 @t19)) % 0.43/0.64 (define @t272 () (or (= tptp.e0 @t19) (= tptp.e1 @t19) (= tptp.e2 @t19) @t271)) % 0.43/0.64 (define @t273 () (= tptp.e2 @t17)) % 0.43/0.64 (define @t274 () (or (= tptp.e0 @t17) (= tptp.e1 @t17) @t273 (= tptp.e3 @t17))) % 0.43/0.64 (define @t275 () (= tptp.e2 @t15)) % 0.43/0.64 (define @t276 () (or (= tptp.e0 @t15) (= tptp.e1 @t15) @t275 (= tptp.e3 @t15))) % 0.43/0.64 (define @t277 () (= tptp.e3 @t13)) % 0.43/0.64 (define @t278 () (or (= tptp.e0 @t13) (= tptp.e1 @t13) (= tptp.e2 @t13) @t277)) % 0.43/0.64 (define @t279 () (or @t243 @t256 @t252 @t248)) % 0.43/0.64 (define @t280 () (= tptp.e1 @t9)) % 0.43/0.64 (define @t281 () (or (= tptp.e0 @t9) @t280 (= tptp.e2 @t9) (= tptp.e3 @t9))) % 0.43/0.64 (define @t282 () (= tptp.e3 @t7)) % 0.43/0.64 (define @t283 () (or (= tptp.e0 @t7) (= tptp.e1 @t7) (= tptp.e2 @t7) @t282)) % 0.43/0.64 (define @t284 () (= tptp.e2 @t5)) % 0.43/0.64 (define @t285 () (or (= tptp.e0 @t5) (= tptp.e1 @t5) @t284 (= tptp.e3 @t5))) % 0.43/0.64 (define @t286 () (= tptp.e1 @t3)) % 0.43/0.64 (define @t287 () (or (= tptp.e0 @t3) @t286 (= tptp.e2 @t3) (= tptp.e3 @t3))) % 0.43/0.64 (define @t288 () (or @t242 @t255 @t251 @t247)) % 0.43/0.64 (define @t289 () (= tptp.e0 tptp.unit)) % 0.43/0.64 (define @t290 () (or @t289 (= tptp.e1 tptp.unit) (= tptp.e2 tptp.unit) (= tptp.e3 tptp.unit))) % 0.43/0.64 (define @t291 () (= tptp.e0 @t40)) % 0.43/0.64 (define @t292 () (or @t291 (= tptp.e1 @t40) (= tptp.e2 @t40) (= tptp.e3 @t40))) % 0.43/0.64 (define @t293 () (= tptp.e1 @t38)) % 0.43/0.64 (define @t294 () (or (= tptp.e0 @t38) @t293 (= tptp.e2 @t38) (= tptp.e3 @t38))) % 0.43/0.64 (define @t295 () (= tptp.e2 @t36)) % 0.43/0.64 (define @t296 () (or (= tptp.e0 @t36) (= tptp.e1 @t36) @t295 (= tptp.e3 @t36))) % 0.43/0.64 (define @t297 () (= tptp.e3 @t34)) % 0.43/0.64 (define @t298 () (or (= tptp.e0 @t34) (= tptp.e1 @t34) (= tptp.e2 @t34) @t297)) % 0.43/0.64 (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)))) % 0.43/0.64 (assume @p2 (and @t32 @t30 @t28 @t26 @t24 @t22 @t20 @t18 @t16 @t14 @t12 @t10 @t8 @t6 @t4 @t2)) % 0.43/0.64 (assume @p3 @t33) % 0.43/0.64 (assume @p4 (and @t41 @t39 @t37 @t35)) % 0.43/0.64 (assume @p5 @t241) % 0.43/0.64 (assume @p6 true) % 0.43/0.64 (step @p7 :rule and_elim :premises (@p2) :args (15)) % 0.43/0.64 (step @p8 :rule symm :premises (@p7)) % 0.43/0.64 (step @p9 :rule and_elim :premises (@p2) :args (10)) % 0.43/0.64 (step @p10 :rule symm :premises (@p9)) % 0.43/0.64 (step @p11 :rule and_elim :premises (@p2) :args (5)) % 0.43/0.64 (step @p12 :rule symm :premises (@p11)) % 0.43/0.64 (step @p13 :rule and_elim :premises (@p2) :args (0)) % 0.43/0.64 (step @p14 :rule symm :premises (@p13)) % 0.43/0.64 (step @p15 :rule cnf_and_neg :args (@t246)) % 0.43/0.64 (step @p16 :rule chain_m_resolution :premises (@p15 @p14 @p12 @p10 @p8) :args (@t246 (@list false false false false) (@list @t245 @t244 @t243 @t242))) % 0.43/0.64 (step @p17 :rule cnf_or_neg :args (@t259 0)) % 0.43/0.64 (step @p18 :rule chain_m_resolution :premises (@p17 @p16) :args (@t259 @t260 (@list @t246))) % 0.43/0.64 (step @p19 :rule cnf_or_neg :args (@t261 0)) % 0.43/0.64 (step @p20 :rule chain_m_resolution :premises (@p19 @p14) :args (@t261 @t260 (@list @t245))) % 0.43/0.64 (step @p21 :rule and_elim :premises (@p2) :args (1)) % 0.43/0.64 (step @p22 :rule symm :premises (@p21)) % 0.43/0.64 (step @p23 :rule cnf_or_neg :args (@t263 1)) % 0.43/0.64 (step @p24 :rule chain_m_resolution :premises (@p23 @p22) :args (@t263 @t260 (@list @t262))) % 0.43/0.64 (step @p25 :rule and_elim :premises (@p2) :args (2)) % 0.43/0.64 (step @p26 :rule symm :premises (@p25)) % 0.43/0.64 (step @p27 :rule cnf_or_neg :args (@t265 2)) % 0.43/0.64 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args (@t265 @t260 (@list @t264))) % 0.43/0.64 (step @p29 :rule and_elim :premises (@p2) :args (3)) % 0.43/0.64 (step @p30 :rule symm :premises (@p29)) % 0.43/0.64 (step @p31 :rule cnf_or_neg :args (@t267 3)) % 0.43/0.64 (step @p32 :rule chain_m_resolution :premises (@p31 @p30) :args (@t267 @t260 (@list @t266))) % 0.43/0.64 (step @p33 :rule and_elim :premises (@p2) :args (4)) % 0.43/0.64 (step @p34 :rule symm :premises (@p33)) % 0.43/0.64 (step @p35 :rule cnf_or_neg :args (@t269 1)) % 0.43/0.64 (step @p36 :rule chain_m_resolution :premises (@p35 @p34) :args (@t269 @t260 (@list @t268))) % 0.43/0.64 (step @p37 :rule cnf_or_neg :args (@t270 0)) % 0.43/0.64 (step @p38 :rule chain_m_resolution :premises (@p37 @p12) :args (@t270 @t260 (@list @t244))) % 0.43/0.64 (step @p39 :rule and_elim :premises (@p2) :args (6)) % 0.43/0.64 (step @p40 :rule symm :premises (@p39)) % 0.43/0.64 (step @p41 :rule cnf_or_neg :args (@t272 3)) % 0.43/0.64 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args (@t272 @t260 (@list @t271))) % 0.43/0.64 (step @p43 :rule and_elim :premises (@p2) :args (7)) % 0.43/0.64 (step @p44 :rule symm :premises (@p43)) % 0.43/0.64 (step @p45 :rule cnf_or_neg :args (@t274 2)) % 0.43/0.64 (step @p46 :rule chain_m_resolution :premises (@p45 @p44) :args (@t274 @t260 (@list @t273))) % 0.43/0.64 (step @p47 :rule and_elim :premises (@p2) :args (8)) % 0.43/0.64 (step @p48 :rule symm :premises (@p47)) % 0.43/0.64 (step @p49 :rule cnf_or_neg :args (@t276 2)) % 0.43/0.64 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args (@t276 @t260 (@list @t275))) % 0.43/0.64 (step @p51 :rule and_elim :premises (@p2) :args (9)) % 0.43/0.64 (step @p52 :rule symm :premises (@p51)) % 0.43/0.64 (step @p53 :rule cnf_or_neg :args (@t278 3)) % 0.43/0.64 (step @p54 :rule chain_m_resolution :premises (@p53 @p52) :args (@t278 @t260 (@list @t277))) % 0.43/0.64 (step @p55 :rule cnf_or_neg :args (@t279 0)) % 0.43/0.64 (step @p56 :rule chain_m_resolution :premises (@p55 @p10) :args (@t279 @t260 (@list @t243))) % 0.43/0.64 (step @p57 :rule and_elim :premises (@p2) :args (11)) % 0.43/0.64 (step @p58 :rule symm :premises (@p57)) % 0.43/0.64 (step @p59 :rule cnf_or_neg :args (@t281 1)) % 0.43/0.64 (step @p60 :rule chain_m_resolution :premises (@p59 @p58) :args (@t281 @t260 (@list @t280))) % 0.43/0.64 (step @p61 :rule and_elim :premises (@p2) :args (12)) % 0.43/0.64 (step @p62 :rule symm :premises (@p61)) % 0.43/0.64 (step @p63 :rule cnf_or_neg :args (@t283 3)) % 0.43/0.64 (step @p64 :rule chain_m_resolution :premises (@p63 @p62) :args (@t283 @t260 (@list @t282))) % 0.43/0.64 (step @p65 :rule and_elim :premises (@p2) :args (13)) % 0.43/0.64 (step @p66 :rule symm :premises (@p65)) % 0.43/0.64 (step @p67 :rule cnf_or_neg :args (@t285 2)) % 0.43/0.64 (step @p68 :rule chain_m_resolution :premises (@p67 @p66) :args (@t285 @t260 (@list @t284))) % 0.43/0.64 (step @p69 :rule and_elim :premises (@p2) :args (14)) % 0.43/0.64 (step @p70 :rule symm :premises (@p69)) % 0.43/0.64 (step @p71 :rule cnf_or_neg :args (@t287 1)) % 0.43/0.64 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args (@t287 @t260 (@list @t286))) % 0.43/0.64 (step @p73 :rule cnf_or_neg :args (@t288 0)) % 0.43/0.64 (step @p74 :rule chain_m_resolution :premises (@p73 @p8) :args (@t288 @t260 (@list @t242))) % 0.43/0.64 (step @p75 :rule symm :premises (@p3)) % 0.43/0.64 (step @p76 :rule cnf_or_neg :args (@t290 0)) % 0.43/0.64 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args (@t290 @t260 (@list @t289))) % 0.43/0.64 (step @p78 :rule and_elim :premises (@p4) :args (0)) % 0.43/0.64 (step @p79 :rule symm :premises (@p78)) % 0.43/0.64 (step @p80 :rule cnf_or_neg :args (@t292 0)) % 0.43/0.64 (step @p81 :rule chain_m_resolution :premises (@p80 @p79) :args (@t292 @t260 (@list @t291))) % 0.43/0.64 (step @p82 :rule and_elim :premises (@p4) :args (1)) % 0.43/0.64 (step @p83 :rule symm :premises (@p82)) % 0.43/0.64 (step @p84 :rule cnf_or_neg :args (@t294 1)) % 0.43/0.64 (step @p85 :rule chain_m_resolution :premises (@p84 @p83) :args (@t294 @t260 (@list @t293))) % 0.43/0.64 (step @p86 :rule and_elim :premises (@p4) :args (2)) % 0.43/0.64 (step @p87 :rule symm :premises (@p86)) % 0.43/0.64 (step @p88 :rule cnf_or_neg :args (@t296 2)) % 0.43/0.64 (step @p89 :rule chain_m_resolution :premises (@p88 @p87) :args (@t296 @t260 (@list @t295))) % 0.43/0.64 (step @p90 :rule and_elim :premises (@p4) :args (3)) % 0.43/0.64 (step @p91 :rule symm :premises (@p90)) % 0.43/0.64 (step @p92 :rule cnf_or_neg :args (@t298 3)) % 0.43/0.64 (step @p93 :rule chain_m_resolution :premises (@p92 @p91) :args (@t298 @t260 (@list @t297))) % 0.43/0.64 (step @p94 :rule cong :premises (@p91 @p29) :args (@t88)) % 0.43/0.64 (step @p95 :rule refl :args (tptp.e3)) % 0.43/0.64 (step @p96 :rule cong :premises (@p95 @p30) :args (@t1)) % 0.43/0.64 (step @p97 :rule trans :premises (@p3 @p8 @p96 @p94)) % 0.43/0.64 (step @p98 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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 @t204 @t206 @t201 @t198 @t195 @t193 @t190 @t188 @t186 @t184 @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t165 @t162 @t159 @t157 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t129 @t126 @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 (= tptp.e0 @t62) (= tptp.e0 @t61) (= tptp.e1 @t60) (= tptp.e1 @t59) (= tptp.e2 @t58) (= tptp.e2 @t57) (= tptp.e3 @t56) (= tptp.e3 @t55) (= tptp.unit @t53) (= tptp.unit @t52) (= tptp.unit @t51) (= tptp.unit @t50) (= tptp.unit @t49) (= tptp.unit @t48) (= tptp.unit @t47) (= tptp.unit @t46) @t298 @t296 @t294 @t292 @t290 @t288 @t287 @t285 @t283 @t281 @t279 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t263 @t261 @t259))) % 0.43/0.64 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------