%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG048+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:45:29 AM UTC 2026 % Result : Theorem 0.63s 0.81s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : RNG048+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 14:03:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.81 % SZS status Theorem % 0.63/0.81 % SZS output start Proof % 0.63/0.81 ( % 0.63/0.81 (declare-sort $$unsorted 0) % 0.63/0.81 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.63/0.81 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.81 (declare-const tptp.sz0z00 $$unsorted) % 0.63/0.81 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.63/0.81 (declare-const tptp.sz00 $$unsorted) % 0.63/0.81 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.63/0.81 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.63/0.81 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.63/0.81 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.63/0.81 (define @t1 () (@var "W0" $$unsorted)) % 0.63/0.81 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.63/0.81 (define @t3 () (@list @t1)) % 0.63/0.81 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.63/0.81 (define @t5 () (@var "W1" $$unsorted)) % 0.63/0.81 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.63/0.81 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.63/0.81 (define @t8 () (@list @t5)) % 0.63/0.81 (define @t9 () (= @t1 @t5)) % 0.63/0.81 (define @t10 () (and @t2 @t7)) % 0.63/0.81 (define @t11 () (@list @t1 @t5)) % 0.63/0.81 (define @t12 () (tptp.aScalar0 @t1)) % 0.63/0.81 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.63/0.81 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.63/0.81 (define @t15 () (tptp.aScalar0 @t5)) % 0.63/0.81 (define @t16 () (and @t12 @t15)) % 0.63/0.81 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.63/0.81 (define @t18 () (tptp.aScalar0 @t17)) % 0.63/0.81 (define @t19 () (forall @t11 (=> @t16 @t18))) % 0.63/0.81 (define @t20 () (tptp.smndt0 @t1)) % 0.63/0.81 (define @t21 () (tptp.aScalar0 @t20)) % 0.63/0.81 (define @t22 () (forall @t3 (=> @t12 @t21))) % 0.63/0.81 (define @t23 () (tptp.smndt0 tptp.sz0z00)) % 0.63/0.81 (define @t24 () (tptp.smndt0 @t20)) % 0.63/0.81 (define @t25 () (tptp.sdtpldt0 @t20 @t1)) % 0.63/0.81 (define @t26 () (tptp.sdtpldt0 @t1 @t20)) % 0.63/0.81 (define @t27 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.63/0.81 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.63/0.81 (define @t29 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.63/0.81 (define @t30 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.63/0.81 (define @t31 () (and (= @t30 @t1) (= @t29 @t1) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 @t1) (= @t23 tptp.sz0z00))) % 0.63/0.81 (define @t32 () (=> @t12 @t31)) % 0.63/0.81 (define @t33 () (forall @t3 @t32)) % 0.63/0.81 (define @t34 () (@var "W2" $$unsorted)) % 0.63/0.81 (define @t35 () (tptp.sdtasdt0 @t5 @t34)) % 0.63/0.81 (define @t36 () (tptp.sdtpldt0 @t5 @t34)) % 0.63/0.81 (define @t37 () (and (= (tptp.sdtpldt0 @t14 @t34) (tptp.sdtpldt0 @t1 @t36)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t34) (tptp.sdtasdt0 @t1 @t35)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))) % 0.63/0.81 (define @t38 () (tptp.aScalar0 @t34)) % 0.63/0.81 (define @t39 () (and @t12 @t15 @t38)) % 0.63/0.81 (define @t40 () (@list @t1 @t5 @t34)) % 0.63/0.81 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.63/0.81 (define @t42 () (tptp.sdtasdt0 @t1 @t34)) % 0.63/0.81 (define @t43 () (and (= (tptp.sdtasdt0 @t1 @t36) (tptp.sdtpldt0 @t17 @t42)) (= (tptp.sdtasdt0 @t14 @t34) (tptp.sdtpldt0 @t42 @t35)))) % 0.63/0.81 (define @t44 () (forall @t40 (=> @t39 @t43))) % 0.63/0.81 (define @t45 () (@var "W3" $$unsorted)) % 0.63/0.81 (define @t46 () (tptp.sdtasdt0 @t5 @t45)) % 0.63/0.81 (define @t47 () (tptp.aScalar0 @t45)) % 0.63/0.81 (define @t48 () (and @t12 @t15 @t38 @t47)) % 0.63/0.81 (define @t49 () (@list @t1 @t5 @t34 @t45)) % 0.63/0.81 (define @t50 () (tptp.smndt0 @t17)) % 0.63/0.81 (define @t51 () (tptp.smndt0 @t5)) % 0.63/0.81 (define @t52 () (tptp.sdtasdt0 @t20 @t51)) % 0.63/0.81 (define @t53 () (=> @t16 (= @t52 @t17))) % 0.63/0.81 (define @t54 () (forall @t11 @t53)) % 0.63/0.81 (define @t55 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.63/0.81 (define @t56 () (tptp.sdtlseqdt0 @t1 @t1)) % 0.63/0.81 (define @t57 () (forall @t3 (=> @t12 @t56))) % 0.63/0.81 (define @t58 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.63/0.81 (define @t59 () (and @t55 @t58)) % 0.63/0.81 (define @t60 () (=> @t59 @t9)) % 0.63/0.81 (define @t61 () (forall @t11 (=> @t16 @t60))) % 0.63/0.81 (define @t62 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t34) (tptp.sdtpldt0 @t5 @t45))) % 0.63/0.81 (define @t63 () (tptp.sdtlseqdt0 @t34 @t45)) % 0.63/0.81 (define @t64 () (and @t55 @t63)) % 0.63/0.81 (define @t65 () (=> @t64 @t62)) % 0.63/0.81 (define @t66 () (forall @t49 (=> @t48 @t65))) % 0.63/0.81 (define @t67 () (tptp.sdtlseqdt0 @t42 @t46)) % 0.63/0.81 (define @t68 () (tptp.sdtlseqdt0 tptp.sz0z00 @t34)) % 0.63/0.81 (define @t69 () (and @t55 @t68 @t63)) % 0.63/0.81 (define @t70 () (=> @t69 @t67)) % 0.63/0.81 (define @t71 () (forall @t49 (=> @t48 @t70))) % 0.63/0.81 (define @t72 () (or @t55 @t58)) % 0.63/0.81 (define @t73 () (forall @t11 (=> @t16 @t72))) % 0.63/0.81 (define @t74 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17))) % 0.63/0.81 (define @t75 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.63/0.81 (define @t76 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.63/0.81 (define @t77 () (and @t76 @t75)) % 0.63/0.81 (define @t78 () (=> @t77 @t74)) % 0.63/0.81 (define @t79 () (forall @t11 (=> @t16 @t78))) % 0.63/0.81 (define @t80 () (tptp.sdtasdt0 @t1 @t1)) % 0.63/0.81 (define @t81 () (tptp.sdtlseqdt0 tptp.sz0z00 @t80)) % 0.63/0.81 (define @t82 () (forall @t3 (=> @t12 @t81))) % 0.63/0.81 (define @t83 () (= @t80 (tptp.sdtasdt0 @t5 @t5))) % 0.63/0.81 (define @t84 () (and @t76 @t75 @t83)) % 0.63/0.81 (define @t85 () (=> @t84 @t9)) % 0.63/0.81 (define @t86 () (forall @t11 (=> @t16 @t85))) % 0.63/0.81 (define @t87 () (tptp.aVector0 @t1)) % 0.63/0.81 (define @t88 () (tptp.aDimensionOf0 @t1)) % 0.63/0.81 (define @t89 () (tptp.aDimensionOf0 @t5)) % 0.63/0.81 (define @t90 () (tptp.aVector0 @t5)) % 0.63/0.81 (define @t91 () (tptp.sziznziztdt0 @t1)) % 0.63/0.81 (define @t92 () (tptp.sziznziztdt0 @t5)) % 0.63/0.81 (define @t93 () (= @t89 tptp.sz00)) % 0.63/0.81 (define @t94 () (= @t88 @t89)) % 0.63/0.81 (define @t95 () (and @t94 (not @t93))) % 0.63/0.81 (define @t96 () (and @t87 @t90)) % 0.63/0.81 (define @t97 () (tptp.sdtasasdt0 @t1 @t5)) % 0.63/0.81 (define @t98 () (tptp.aScalar0 @t97)) % 0.63/0.81 (define @t99 () (=> @t94 @t98)) % 0.63/0.81 (define @t100 () (forall @t11 (=> @t96 @t99))) % 0.63/0.81 (define @t101 () (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 @t1 @t1))) % 0.63/0.81 (define @t102 () (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasasdt0 @t5 @t5))) % 0.63/0.81 (define @t103 () (tptp.iLess0 @t89 @t88)) % 0.63/0.81 (define @t104 () (=> @t103 @t102)) % 0.63/0.81 (define @t105 () (forall @t8 (=> @t90 @t104))) % 0.63/0.81 (define @t106 () (=> @t105 @t101)) % 0.63/0.81 (define @t107 () (=> @t87 @t106)) % 0.63/0.81 (define @t108 () (forall @t3 @t107)) % 0.63/0.81 (define @t109 () (not @t108)) % 0.63/0.81 (define @t110 () (not @t63)) % 0.63/0.81 (define @t111 () (not @t55)) % 0.63/0.81 (define @t112 () (not @t47)) % 0.63/0.81 (define @t113 () (not @t38)) % 0.63/0.81 (define @t114 () (not @t15)) % 0.63/0.81 (define @t115 () (not @t12)) % 0.63/0.81 (define @t116 () (or @t111 @t110 @t62)) % 0.63/0.81 (define @t117 () (or @t115 @t114 @t113 @t112)) % 0.63/0.81 (define @t118 () (not @t48)) % 0.63/0.81 (define @t119 () (not @t103)) % 0.63/0.81 (define @t120 () (not @t90)) % 0.63/0.81 (define @t121 () (or @t120 @t119 @t102)) % 0.63/0.81 (define @t122 () (forall @t8 @t121)) % 0.63/0.81 (define @t123 () (not @t122)) % 0.63/0.81 (define @t124 () (not @t87)) % 0.63/0.81 (define @t125 () (or @t124 @t123 @t101)) % 0.63/0.81 (define @t126 () (@quantifiers_skolemize (forall @t3 @t125) 0)) % 0.63/0.81 (define @t127 () (tptp.sdtasasdt0 @t126 @t126)) % 0.63/0.81 (define @t128 () (tptp.smndt0 @t127)) % 0.63/0.81 (define @t129 () (=> @t122 @t101)) % 0.63/0.81 (define @t130 () (tptp.sdtlseqdt0 tptp.sz0z00 @t127)) % 0.63/0.81 (define @t131 () (tptp.aDimensionOf0 @t126)) % 0.63/0.81 (define @t132 () (tptp.aVector0 @t126)) % 0.63/0.81 (define @t133 () (not @t132)) % 0.63/0.81 (define @t134 () (or @t133 (not (forall @t8 (or @t120 (not (tptp.iLess0 @t89 @t131)) @t102))) @t130)) % 0.63/0.81 (define @t135 () (@list true)) % 0.63/0.81 (define @t136 () (@list @t134)) % 0.63/0.81 (define @t137 () (= tptp.sz0z00 @t23)) % 0.63/0.81 (define @t138 () (and (= @t1 @t30) (= @t1 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= @t1 @t24) @t137)) % 0.63/0.81 (define @t139 () (@list @t127)) % 0.63/0.81 (define @t140 () (not @t94)) % 0.63/0.81 (define @t141 () (or @t124 @t120 @t140 @t98)) % 0.63/0.81 (define @t142 () (tptp.aScalar0 @t127)) % 0.63/0.81 (define @t143 () (or @t133 @t142)) % 0.63/0.81 (define @t144 () (not (= @t131 @t131))) % 0.63/0.81 (define @t145 () (or @t133 @t133 @t144 @t142)) % 0.63/0.81 (define @t146 () (forall @t11 @t141)) % 0.63/0.81 (define @t147 () (@list false)) % 0.63/0.81 (define @t148 () (@list false false)) % 0.63/0.81 (define @t149 () (tptp.smndt0 @t128)) % 0.63/0.81 (define @t150 () (= @t127 @t149)) % 0.63/0.81 (define @t151 () (tptp.sdtpldt0 @t128 @t127)) % 0.63/0.81 (define @t152 () (= tptp.sz0z00 @t151)) % 0.63/0.81 (define @t153 () (tptp.sdtpldt0 @t127 @t128)) % 0.63/0.81 (define @t154 () (= tptp.sz0z00 @t153)) % 0.63/0.81 (define @t155 () (tptp.sdtasdt0 tptp.sz0z00 @t127)) % 0.63/0.81 (define @t156 () (= tptp.sz0z00 @t155)) % 0.63/0.81 (define @t157 () (tptp.sdtasdt0 @t127 tptp.sz0z00)) % 0.63/0.81 (define @t158 () (= tptp.sz0z00 @t157)) % 0.63/0.81 (define @t159 () (tptp.sdtpldt0 tptp.sz0z00 @t127)) % 0.63/0.81 (define @t160 () (= @t127 @t159)) % 0.63/0.81 (define @t161 () (tptp.sdtpldt0 @t127 tptp.sz0z00)) % 0.63/0.81 (define @t162 () (= @t127 @t161)) % 0.63/0.81 (define @t163 () (and @t162 @t160 @t158 @t156 @t154 @t152 @t150 @t137)) % 0.63/0.81 (define @t164 () (not @t142)) % 0.63/0.81 (define @t165 () (or @t164 @t163)) % 0.63/0.81 (define @t166 () (not @t163)) % 0.63/0.81 (define @t167 () (@list @t163)) % 0.63/0.81 (define @t168 () (tptp.sdtlseqdt0 @t151 @t159)) % 0.63/0.81 (define @t169 () (tptp.aScalar0 @t128)) % 0.63/0.81 (define @t170 () (or @t164 @t169)) % 0.63/0.81 (define @t171 () (tptp.sdtlseqdt0 @t127 @t127)) % 0.63/0.81 (define @t172 () (or @t164 @t171)) % 0.63/0.81 (define @t173 () (not @t171)) % 0.63/0.81 (define @t174 () (tptp.sdtlseqdt0 @t128 tptp.sz0z00)) % 0.63/0.81 (define @t175 () (not @t174)) % 0.63/0.81 (define @t176 () (not @t13)) % 0.63/0.81 (define @t177 () (not @t169)) % 0.63/0.81 (define @t178 () (or @t177 @t176 @t164 @t164 @t175 @t173 @t168)) % 0.63/0.81 (define @t179 () (not @t83)) % 0.63/0.81 (define @t180 () (not @t75)) % 0.63/0.81 (define @t181 () (not @t76)) % 0.63/0.81 (define @t182 () (or @t115 @t114 @t181 @t180 @t179 @t9)) % 0.63/0.81 (define @t183 () (or @t181 @t180 @t179 @t9)) % 0.63/0.81 (define @t184 () (or @t115 @t114)) % 0.63/0.81 (define @t185 () (or @t181 @t180 @t179)) % 0.63/0.81 (define @t186 () (not @t16)) % 0.63/0.81 (define @t187 () (tptp.sdtasdt0 @t127 @t127)) % 0.63/0.81 (define @t188 () (tptp.sdtpldt0 @t128 @t187)) % 0.63/0.81 (define @t189 () (tptp.sdtasdt0 @t188 @t188)) % 0.63/0.81 (define @t190 () (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00)) % 0.63/0.81 (define @t191 () (not (= @t189 @t190))) % 0.63/0.81 (define @t192 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 0.63/0.81 (define @t193 () (not @t192)) % 0.63/0.81 (define @t194 () (tptp.sdtlseqdt0 tptp.sz0z00 @t188)) % 0.63/0.81 (define @t195 () (not @t194)) % 0.63/0.81 (define @t196 () (tptp.aScalar0 @t188)) % 0.63/0.81 (define @t197 () (not @t196)) % 0.63/0.81 (define @t198 () (or @t197 @t176 @t195 @t193 @t191 (= @t188 tptp.sz0z00))) % 0.63/0.81 (define @t199 () (forall @t11 @t182)) % 0.63/0.81 (define @t200 () (= tptp.sz0z00 @t188)) % 0.63/0.81 (define @t201 () (= @t190 @t189)) % 0.63/0.81 (define @t202 () (not @t201)) % 0.63/0.81 (define @t203 () (or @t197 @t176 @t195 @t193 @t202 @t200)) % 0.63/0.81 (define @t204 () (tptp.sdtasdt0 @t149 @t149)) % 0.63/0.81 (define @t205 () (= @t17 @t52)) % 0.63/0.81 (define @t206 () (tptp.sdtasdt0 @t128 @t128)) % 0.63/0.81 (define @t207 () (= @t206 @t204)) % 0.63/0.81 (define @t208 () (or @t177 @t177 @t207)) % 0.63/0.81 (define @t209 () (tptp.sdtpldt0 @t128 @t206)) % 0.63/0.81 (define @t210 () (not @t58)) % 0.63/0.81 (define @t211 () (or @t111 @t210 @t9)) % 0.63/0.81 (define @t212 () (tptp.sdtasdt0 @t128 @t127)) % 0.63/0.81 (define @t213 () (not @t68)) % 0.63/0.81 (define @t214 () (or @t111 @t213 @t110 @t67)) % 0.63/0.81 (define @t215 () (or @t111 @t213 @t110)) % 0.63/0.81 (define @t216 () (@list @t128 tptp.sz0z00)) % 0.63/0.81 (define @t217 () (tptp.sdtlseqdt0 tptp.sz0z00 @t128)) % 0.63/0.81 (define @t218 () (or @t177 @t176 @t174 @t217)) % 0.63/0.81 (define @t219 () (@list tptp.sz0z00)) % 0.63/0.81 (define @t220 () (or @t176 @t192)) % 0.63/0.81 (define @t221 () (tptp.sdtasdt0 @t127 @t128)) % 0.63/0.81 (define @t222 () (tptp.sdtlseqdt0 @t157 @t221)) % 0.63/0.81 (define @t223 () (not @t217)) % 0.63/0.81 (define @t224 () (or @t164 @t164 @t176 @t177 @t173 @t193 @t223 @t222)) % 0.63/0.81 (define @t225 () (@list false false false false false false false)) % 0.63/0.81 (define @t226 () (or @t115 @t114 @t113 @t37)) % 0.63/0.81 (define @t227 () (or @t115 @t114 @t113)) % 0.63/0.81 (define @t228 () (not @t39)) % 0.63/0.81 (define @t229 () (= @t212 @t221)) % 0.63/0.81 (define @t230 () (= (tptp.sdtasdt0 @t212 tptp.sz0z00) (tptp.sdtasdt0 @t128 @t157))) % 0.63/0.81 (define @t231 () (= (tptp.sdtpldt0 @t151 tptp.sz0z00) (tptp.sdtpldt0 @t128 @t161))) % 0.63/0.81 (define @t232 () (and @t231 (= @t151 @t153) @t230 @t229)) % 0.63/0.81 (define @t233 () (or @t177 @t164 @t176 @t232)) % 0.63/0.81 (define @t234 () (forall @t40 @t226)) % 0.63/0.81 (define @t235 () (@list @t128 @t127 tptp.sz0z00)) % 0.63/0.81 (define @t236 () (and @t231 (= @t153 @t151) @t230 @t229)) % 0.63/0.81 (define @t237 () (or @t177 @t164 @t176 @t236)) % 0.63/0.81 (define @t238 () (@list false false false false)) % 0.63/0.81 (define @t239 () (tptp.sdtasdt0 @t128 @t161)) % 0.63/0.81 (define @t240 () (tptp.sdtasdt0 @t128 tptp.sz0z00)) % 0.63/0.81 (define @t241 () (= @t239 (tptp.sdtpldt0 @t212 @t240))) % 0.63/0.81 (define @t242 () (and @t241 (= (tptp.sdtasdt0 @t151 tptp.sz0z00) (tptp.sdtpldt0 @t240 @t157)))) % 0.63/0.81 (define @t243 () (or @t177 @t164 @t176 @t242)) % 0.63/0.81 (define @t244 () (= @t240 (tptp.sdtasdt0 @t149 @t23))) % 0.63/0.81 (define @t245 () (or @t177 @t176 @t244)) % 0.63/0.81 (define @t246 () (@list false false false)) % 0.63/0.81 (define @t247 () (= tptp.sz0z00 @t190)) % 0.63/0.81 (define @t248 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 0.63/0.81 (define @t249 () (and @t248 @t248 @t247 @t247 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t23)) (= tptp.sz0z00 (tptp.sdtpldt0 @t23 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t23)) @t137)) % 0.63/0.81 (define @t250 () (or @t176 @t249)) % 0.63/0.81 (define @t251 () (not @t249)) % 0.63/0.81 (define @t252 () (@list @t249)) % 0.63/0.81 (define @t253 () (tptp.sdtpldt0 @t212 tptp.sz0z00)) % 0.63/0.81 (define @t254 () (tptp.sdtlseqdt0 @t157 @t212)) % 0.63/0.81 (define @t255 () (tptp.aScalar0 @t187)) % 0.63/0.81 (define @t256 () (or @t164 @t164 @t255)) % 0.63/0.81 (define @t257 () (tptp.sdtlseqdt0 @t187 @t187)) % 0.63/0.81 (define @t258 () (not @t255)) % 0.63/0.81 (define @t259 () (or @t258 @t257)) % 0.63/0.81 (define @t260 () (tptp.sdtlseqdt0 @t187 @t206)) % 0.63/0.81 (define @t261 () (tptp.aScalar0 @t157)) % 0.63/0.81 (define @t262 () (tptp.aScalar0 @t206)) % 0.63/0.81 (define @t263 () (tptp.aScalar0 @t212)) % 0.63/0.81 (define @t264 () (or @t177 @t164 @t263)) % 0.63/0.81 (define @t265 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t187 @t157) (tptp.sdtpldt0 @t206 @t212))) % 0.63/0.81 (define @t266 () (not @t254)) % 0.63/0.81 (define @t267 () (not @t260)) % 0.63/0.81 (define @t268 () (not @t263)) % 0.63/0.81 (define @t269 () (not @t261)) % 0.63/0.81 (define @t270 () (not @t262)) % 0.63/0.81 (define @t271 () (or @t258 @t270 @t269 @t268 @t267 @t266 @t265)) % 0.63/0.81 (define @t272 () (tptp.sdtpldt0 @t187 @t212)) % 0.63/0.81 (define @t273 () (= (tptp.sdtasdt0 @t153 @t127) @t272)) % 0.63/0.81 (define @t274 () (and (= (tptp.sdtasdt0 @t127 @t151) (tptp.sdtpldt0 @t221 @t187)) @t273)) % 0.63/0.81 (define @t275 () (or @t164 @t177 @t164 @t274)) % 0.63/0.81 (define @t276 () (tptp.sdtpldt0 @t187 @t155)) % 0.63/0.81 (define @t277 () (= (tptp.sdtasdt0 @t161 @t127) @t276)) % 0.63/0.81 (define @t278 () (and (= (tptp.sdtasdt0 @t127 @t159) (tptp.sdtpldt0 @t157 @t187)) @t277)) % 0.63/0.81 (define @t279 () (or @t164 @t176 @t164 @t278)) % 0.63/0.81 (define @t280 () (tptp.sdtlseqdt0 @t187 tptp.sz0z00)) % 0.63/0.81 (define @t281 () (tptp.sdtlseqdt0 tptp.sz0z00 @t187)) % 0.63/0.81 (define @t282 () (or @t164 @t281)) % 0.63/0.81 (define @t283 () (= tptp.sz0z00 @t187)) % 0.63/0.81 (define @t284 () (not @t280)) % 0.63/0.81 (define @t285 () (not @t281)) % 0.63/0.81 (define @t286 () (or @t176 @t258 @t285 @t284 @t283)) % 0.63/0.81 (define @t287 () (@list false false false false false)) % 0.63/0.81 (define @t288 () (tptp.sdtpldt0 @t128 tptp.sz0z00)) % 0.63/0.81 (define @t289 () (@list @t128)) % 0.63/0.81 (define @t290 () (tptp.sdtpldt0 tptp.sz0z00 @t128)) % 0.63/0.81 (define @t291 () (= @t128 @t290)) % 0.63/0.81 (define @t292 () (= @t128 @t288)) % 0.63/0.81 (define @t293 () (and @t292 @t291 (= tptp.sz0z00 @t240) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t128)) (= tptp.sz0z00 (tptp.sdtpldt0 @t128 @t149)) (= tptp.sz0z00 (tptp.sdtpldt0 @t149 @t128)) (= @t128 (tptp.smndt0 @t149)) @t137)) % 0.63/0.81 (define @t294 () (or @t177 @t293)) % 0.63/0.81 (define @t295 () (not @t293)) % 0.63/0.81 (define @t296 () (@list @t293)) % 0.63/0.81 (define @t297 () (or @t181 @t180 @t74)) % 0.63/0.81 (define @t298 () (and @t194 (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtasdt0 @t128 @t187)))) % 0.63/0.81 (define @t299 () (or @t177 @t258 @t223 @t285 @t298)) % 0.63/0.81 (define @t300 () (tptp.sdtlseqdt0 @t128 @t128)) % 0.63/0.81 (define @t301 () (or @t177 @t300)) % 0.63/0.81 (assume @p1 (forall @t3 (=> @t2 true))) % 0.63/0.81 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.63/0.81 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.63/0.81 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.63/0.81 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.63/0.81 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.63/0.81 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.63/0.81 (assume @p8 (forall @t3 (=> @t12 true))) % 0.63/0.81 (assume @p9 @t13) % 0.63/0.81 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.63/0.81 (assume @p11 @t19) % 0.63/0.81 (assume @p12 @t22) % 0.63/0.81 (assume @p13 @t33) % 0.63/0.81 (assume @p14 @t41) % 0.63/0.81 (assume @p15 @t44) % 0.63/0.81 (assume @p16 (forall @t49 (=> @t48 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t34 @t45)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t42 (tptp.sdtasdt0 @t1 @t45)) (tptp.sdtpldt0 @t35 @t46)))))) % 0.63/0.81 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t51) @t50) (= (tptp.sdtasdt0 @t20 @t5) @t50))))) % 0.63/0.81 (assume @p18 @t54) % 0.63/0.81 (assume @p19 (forall @t11 (=> @t16 (=> @t55 true)))) % 0.63/0.81 (assume @p20 @t57) % 0.63/0.81 (assume @p21 @t61) % 0.63/0.81 (assume @p22 (forall @t40 (=> @t39 (=> (and @t55 (tptp.sdtlseqdt0 @t5 @t34)) (tptp.sdtlseqdt0 @t1 @t34))))) % 0.63/0.81 (assume @p23 @t66) % 0.63/0.81 (assume @p24 @t71) % 0.63/0.81 (assume @p25 @t73) % 0.63/0.81 (assume @p26 @t79) % 0.63/0.81 (assume @p27 @t82) % 0.63/0.81 (assume @p28 @t86) % 0.63/0.81 (assume @p29 (forall @t3 (=> @t87 true))) % 0.63/0.81 (assume @p30 (forall @t3 (=> @t87 (tptp.aNaturalNumber0 @t88)))) % 0.63/0.81 (assume @p31 (forall @t11 (=> (and @t87 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.63/0.81 (assume @p32 (forall @t3 (=> @t87 (=> (not (= @t88 tptp.sz00)) (forall @t8 (= (= @t5 @t91) (and @t90 (= (tptp.szszuzczcdt0 @t89) @t88) (forall (@list @t34) (=> (tptp.aNaturalNumber0 @t34) (= (tptp.sdtlbdtrb0 @t5 @t34) (tptp.sdtlbdtrb0 @t1 @t34))))))))))) % 0.63/0.81 (assume @p33 (forall @t11 (=> @t96 (=> @t95 (= (tptp.aDimensionOf0 @t91) (tptp.aDimensionOf0 @t92)))))) % 0.63/0.81 (assume @p34 @t100) % 0.63/0.81 (assume @p35 (forall @t11 (=> @t96 (=> (and @t94 @t93) (= @t97 tptp.sz0z00))))) % 0.63/0.81 (assume @p36 (forall @t11 (=> @t96 (=> @t95 (= @t97 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t91 @t92) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t88) (tptp.sdtlbdtrb0 @t5 @t89)))))))) % 0.63/0.81 (assume @p37 @t109) % 0.63/0.81 (assume @p38 true) % 0.63/0.81 (step @p39 :rule evaluate :args ((= true false))) % 0.63/0.81 (step @p40 :rule aci_norm :args ((= (or @t117 @t116) (or @t115 @t114 @t113 @t112 @t111 @t110 @t62)))) % 0.63/0.81 (step @p41 :rule aci_norm :args ((= (or (or @t111 @t110) @t62) @t116))) % 0.63/0.81 (step @p42 :rule refl :args (@t62)) % 0.63/0.81 (step @p43 :rule bool-and-de-morgan :args (@t55 @t63 true)) % 0.63/0.81 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t64) @t62))) % 0.63/0.81 (step @p45 :rule trans :premises (@p44 @p41)) % 0.63/0.81 (step @p46 :rule bool-impl-elim :args (@t64 @t62)) % 0.63/0.81 (step @p47 :rule trans :premises (@p46 @p45)) % 0.63/0.81 (step @p48 :rule aci_norm :args ((= (or @t115 (or @t114 (or @t113 @t112))) @t117))) % 0.63/0.81 (step @p49 :rule bool-and-de-morgan :args (@t38 @t47 true)) % 0.63/0.81 (step @p50 :rule refl :args (@t114)) % 0.63/0.81 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t114 (not (and @t38 @t47))))) % 0.63/0.81 (step @p52 :rule bool-and-de-morgan :args (@t15 @t38 (and @t47))) % 0.63/0.81 (step @p53 :rule trans :premises (@p52 @p51)) % 0.63/0.81 (step @p54 :rule refl :args (@t115)) % 0.63/0.81 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t115 (not (and @t15 @t38 @t47))))) % 0.63/0.81 (step @p56 :rule bool-and-de-morgan :args (@t12 @t15 (and @t38 @t47))) % 0.63/0.81 (step @p57 :rule trans :premises (@p56 @p55)) % 0.63/0.81 (step @p58 :rule trans :premises (@p57 @p48)) % 0.63/0.81 (step @p59 :rule nary_cong :premises (@p58 @p47) :args ((or @t118 @t65))) % 0.63/0.81 (step @p60 :rule trans :premises (@p59 @p40)) % 0.63/0.81 (step @p61 :rule bool-impl-elim :args (@t48 @t65)) % 0.63/0.81 (step @p62 :rule trans :premises (@p61 @p60)) % 0.63/0.81 (step @p63 :rule cong :premises (@p62) :args (@t66)) % 0.63/0.81 (step @p64 :rule eq_resolve :premises (@p23 @p63)) % 0.63/0.81 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t128 tptp.sz0z00 @t127 @t127))) % 0.63/0.81 (step @p66 :rule aci_norm :args ((= (or @t124 (or @t123 @t101)) @t125))) % 0.63/0.81 (step @p67 :rule bool-impl-elim :args (@t122 @t101)) % 0.63/0.81 (step @p68 :rule refl :args (@t124)) % 0.63/0.81 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t124 @t129))) % 0.63/0.81 (step @p70 :rule trans :premises (@p69 @p66)) % 0.63/0.81 (step @p71 :rule bool-impl-elim :args (@t87 @t129)) % 0.63/0.81 (step @p72 :rule trans :premises (@p71 @p70)) % 0.63/0.81 (step @p73 :rule cong :premises (@p72) :args ((forall @t3 (=> @t87 @t129)))) % 0.63/0.81 (step @p74 :rule refl :args (@t101)) % 0.63/0.81 (step @p75 :rule aci_norm :args ((= (or @t120 (or @t119 @t102)) @t121))) % 0.63/0.81 (step @p76 :rule bool-impl-elim :args (@t103 @t102)) % 0.63/0.81 (step @p77 :rule refl :args (@t120)) % 0.63/0.81 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t120 @t104))) % 0.63/0.81 (step @p79 :rule trans :premises (@p78 @p75)) % 0.63/0.81 (step @p80 :rule bool-impl-elim :args (@t90 @t104)) % 0.63/0.81 (step @p81 :rule trans :premises (@p80 @p79)) % 0.63/0.81 (step @p82 :rule cong :premises (@p81) :args (@t105)) % 0.63/0.81 (step @p83 :rule cong :premises (@p82 @p74) :args (@t106)) % 0.63/0.81 (step @p84 :rule refl :args (@t87)) % 0.63/0.81 (step @p85 :rule cong :premises (@p84 @p83) :args (@t107)) % 0.63/0.81 (step @p86 :rule cong :premises (@p85) :args (@t108)) % 0.63/0.81 (step @p87 :rule trans :premises (@p86 @p73)) % 0.63/0.81 (step @p88 :rule cong :premises (@p87) :args (@t109)) % 0.63/0.81 (step @p89 :rule eq_resolve :premises (@p37 @p88)) % 0.63/0.81 (step @p90 :rule skolemize :premises (@p89)) % 0.63/0.81 (step @p91 :rule cnf_or_neg :args (@t134 2)) % 0.63/0.81 (step @p92 :rule chain_m_resolution :premises (@p91 @p90) :args ((not @t130) @t135 @t136)) % 0.63/0.81 (step @p93 :rule false_intro :premises (@p92)) % 0.63/0.81 (step @p94 :rule bool-impl-elim :args (@t12 @t138)) % 0.63/0.81 (step @p95 :rule cong :premises (@p94) :args ((forall @t3 (=> @t12 @t138)))) % 0.63/0.81 (step @p96 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.63/0.81 (step @p97 :rule eq-symm :args (@t24 @t1)) % 0.63/0.81 (step @p98 :rule eq-symm :args (@t25 tptp.sz0z00)) % 0.63/0.81 (step @p99 :rule eq-symm :args (@t26 tptp.sz0z00)) % 0.63/0.81 (step @p100 :rule eq-symm :args (@t27 tptp.sz0z00)) % 0.63/0.81 (step @p101 :rule eq-symm :args (@t28 tptp.sz0z00)) % 0.63/0.81 (step @p102 :rule eq-symm :args (@t29 @t1)) % 0.63/0.81 (step @p103 :rule eq-symm :args (@t30 @t1)) % 0.63/0.81 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96) :args (@t31)) % 0.63/0.81 (step @p105 :rule refl :args (@t12)) % 0.63/0.81 (step @p106 :rule cong :premises (@p105 @p104) :args (@t32)) % 0.63/0.81 (step @p107 :rule cong :premises (@p106) :args (@t33)) % 0.63/0.81 (step @p108 :rule trans :premises (@p107 @p95)) % 0.63/0.81 (step @p109 :rule eq_resolve :premises (@p13 @p108)) % 0.63/0.81 (step @p110 :rule instantiate :premises (@p109) :args (@t139)) % 0.63/0.81 (step @p111 :rule aci_norm :args ((= (or (or @t124 @t120) (or @t140 @t98)) @t141))) % 0.63/0.81 (step @p112 :rule bool-impl-elim :args (@t94 @t98)) % 0.63/0.81 (step @p113 :rule bool-and-de-morgan :args 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(step @p408 :rule refl :args (@t187)) % 0.63/0.81 (step @p409 :rule cong :premises (@p242 @p408) :args ((tptp.sdtlseqdt0 @t206 @t187))) % 0.63/0.81 (step @p410 :rule symm :premises (@p242)) % 0.63/0.81 (step @p411 :rule cong :premises (@p410 @p242) :args (@t260)) % 0.63/0.81 (step @p412 :rule trans :premises (@p411 @p409 @p407)) % 0.63/0.81 (step @p413 :rule true_elim :premises (@p412)) % 0.63/0.81 (step @p414 :rule true_intro :premises (@p9)) % 0.63/0.81 (step @p415 :rule cong :premises (@p386) :args (@t261)) % 0.63/0.81 (step @p416 :rule trans :premises (@p415 @p414)) % 0.63/0.81 (step @p417 :rule true_elim :premises (@p416)) % 0.63/0.81 (step @p418 :rule true_intro :premises (@p403)) % 0.63/0.81 (step @p419 :rule cong :premises (@p242) :args (@t262)) % 0.63/0.81 (step @p420 :rule trans :premises (@p419 @p418)) % 0.63/0.81 (step @p421 :rule true_elim :premises (@p420)) % 0.63/0.81 (step @p422 :rule instantiate :premises (@p398) :args ((@list @t128 @t127))) % 0.63/0.81 (step @p423 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(step @p472 :rule reordering :premises (@p471) :args ((or @t176 @t285 @t258 @t284 @t283 (not @t286)))) % 0.63/0.81 (step @p473 :rule chain_m_resolution :premises (@p472 @p9 @p470 @p403 @p463 @p260) :args (@t283 @t287 (@list @t13 @t281 @t255 @t280 @t286))) % 0.63/0.81 (step @p474 :rule trans :premises (@p473 @p246 @p245)) % 0.63/0.81 (step @p475 :rule cong :premises (@p243 @p474) :args (@t288)) % 0.63/0.81 (step @p476 :rule instantiate :premises (@p109) :args (@t289)) % 0.63/0.81 (step @p477 :rule cnf_or_pos :args (@t294)) % 0.63/0.81 (step @p478 :rule reordering :premises (@p477) :args ((or @t177 @t293 (not @t294)))) % 0.63/0.81 (step @p479 :rule chain_m_resolution :premises (@p478 @p168 @p476) :args (@t293 @t148 (@list @t169 @t294))) % 0.63/0.81 (step @p480 :rule cnf_and_pos :args (@t293 0)) % 0.63/0.81 (step @p481 :rule reordering :premises (@p480) :args ((or @t292 @t295))) % 0.63/0.81 (step @p482 :rule chain_m_resolution :premises (@p481 @p479) :args (@t292 @t147 @t296)) % 0.63/0.81 (step @p483 :rule trans :premises (@p482 @p475 @p244)) % 0.63/0.81 (step @p484 :rule cong :premises (@p483 @p483) :args (@t206)) % 0.63/0.81 (step @p485 :rule cnf_and_pos :args (@t249 2)) % 0.63/0.81 (step @p486 :rule reordering :premises (@p485) :args ((or @t247 @t251))) % 0.63/0.81 (step @p487 :rule chain_m_resolution :premises (@p486 @p370) :args (@t247 @t147 @t252)) % 0.63/0.81 (step @p488 :rule symm :premises (@p487)) % 0.63/0.81 (step @p489 :rule trans :premises (@p488 @p473 @p246 @p245 @p484)) % 0.63/0.81 (step @p490 :rule true_intro :premises (@p168)) % 0.63/0.81 (step @p491 :rule symm :premises (@p482)) % 0.63/0.81 (step @p492 :rule symm :premises (@p473)) % 0.63/0.81 (step @p493 :rule trans :premises (@p241 @p223 @p492)) % 0.63/0.81 (step @p494 :rule cong :premises (@p243 @p493) :args (@t209)) % 0.63/0.81 (step @p495 :rule cong :premises (@p243 @p410) :args (@t188)) % 0.63/0.81 (step @p496 :rule trans :premises (@p495 @p494 @p491)) % 0.63/0.81 (step @p497 :rule cong :premises 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0.63/0.81 (step @p523 :rule chain_m_resolution :premises (@p522 @p9 @p298 @p520 @p499 @p489 @p218) :args (@t200 (@list false false false false false false) (@list @t13 @t192 @t194 @t196 @t201 @t203))) % 0.63/0.81 (step @p524 :rule symm :premises (@p523)) % 0.63/0.81 (step @p525 :rule cnf_and_pos :args (@t293 1)) % 0.63/0.81 (step @p526 :rule reordering :premises (@p525) :args ((or @t291 @t295))) % 0.63/0.81 (step @p527 :rule chain_m_resolution :premises (@p526 @p479) :args (@t291 @t147 @t296)) % 0.63/0.81 (step @p528 :rule symm :premises (@p527)) % 0.63/0.81 (step @p529 :rule trans :premises (@p528 @p482 @p475 @p244 @p524)) % 0.63/0.81 (step @p530 :rule cong :premises (@p528 @p529) :args ((tptp.sdtlseqdt0 @t290 @t290))) % 0.63/0.81 (step @p531 :rule trans :premises (@p491 @p527)) % 0.63/0.81 (step @p532 :rule cong :premises (@p531 @p531) :args ((tptp.sdtlseqdt0 @t288 @t288))) % 0.63/0.81 (step @p533 :rule cong :premises (@p482 @p482) :args (@t300)) % 0.63/0.81 (step @p534 :rule instantiate :premises (@p171) :args (@t289)) % 0.63/0.81 (step @p535 :rule cnf_or_pos :args (@t301)) % 0.63/0.81 (step @p536 :rule reordering :premises (@p535) :args ((or @t177 @t300 (not @t301)))) % 0.63/0.81 (step @p537 :rule chain_m_resolution :premises (@p536 @p168 @p534) :args (@t300 @t148 (@list @t169 @t301))) % 0.63/0.81 (step @p538 :rule true_intro :premises (@p537)) % 0.63/0.81 (step @p539 :rule symm :premises (@p538)) % 0.63/0.81 (step @p540 :rule trans :premises (@p539 @p533 @p532 @p530 @p180)) % 0.63/0.81 (step @p541 false :rule eq_resolve :premises (@p540 @p39)) % 0.63/0.81 ) % 0.63/0.81 % SZS output end Proof % 0.63/0.81 % cvc5 exiting %------------------------------------------------------------------------------