%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG051+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 : n018.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 08:45:30 AM UTC 2026 % Result : Theorem 66.50s 66.77s % Output : Proof 66.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG051+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n018.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 : Tue Jun 2 14:03:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 66.50/66.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 66.50/66.77 --- Run --no-e-matching --full-saturate-quant at 6... % 66.50/66.77 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 66.50/66.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 66.50/66.77 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 66.50/66.77 --- Run --trigger-sel=max --full-saturate-quant at 15... % 66.50/66.77 % SZS status Theorem % 66.50/66.77 % SZS output start Proof % 66.50/66.77 ( % 66.50/66.77 (declare-sort $$unsorted 0) % 66.50/66.77 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 66.50/66.77 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 66.50/66.77 (declare-const tptp.sz0z00 $$unsorted) % 66.50/66.77 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 66.50/66.77 (declare-const tptp.sz00 $$unsorted) % 66.50/66.77 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 66.50/66.77 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 66.50/66.77 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 66.50/66.77 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 66.50/66.77 (define @t1 () (@var "W0" $$unsorted)) % 66.50/66.77 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 66.50/66.77 (define @t3 () (@list @t1)) % 66.50/66.77 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 66.50/66.77 (define @t5 () (@var "W1" $$unsorted)) % 66.50/66.77 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 66.50/66.77 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 66.50/66.77 (define @t8 () (@list @t5)) % 66.50/66.77 (define @t9 () (= @t1 @t5)) % 66.50/66.77 (define @t10 () (and @t2 @t7)) % 66.50/66.77 (define @t11 () (@list @t1 @t5)) % 66.50/66.77 (define @t12 () (tptp.aScalar0 @t1)) % 66.50/66.77 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 66.50/66.77 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 66.50/66.77 (define @t15 () (tptp.aScalar0 @t5)) % 66.50/66.77 (define @t16 () (and @t12 @t15)) % 66.50/66.77 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 66.50/66.77 (define @t18 () (tptp.aScalar0 @t17)) % 66.50/66.77 (define @t19 () (forall @t11 (=> @t16 @t18))) % 66.50/66.77 (define @t20 () (tptp.smndt0 @t1)) % 66.50/66.77 (define @t21 () (tptp.aScalar0 @t20)) % 66.50/66.77 (define @t22 () (forall @t3 (=> @t12 @t21))) % 66.50/66.77 (define @t23 () (tptp.smndt0 tptp.sz0z00)) % 66.50/66.77 (define @t24 () (tptp.smndt0 @t20)) % 66.50/66.77 (define @t25 () (tptp.sdtpldt0 @t20 @t1)) % 66.50/66.77 (define @t26 () (tptp.sdtpldt0 @t1 @t20)) % 66.50/66.77 (define @t27 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 66.50/66.77 (define @t28 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 66.50/66.77 (define @t29 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 66.50/66.77 (define @t30 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 66.50/66.77 (define @t31 () (and (= @t30 @t1) (= @t29 @t1) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 tptp.sz0z00) (= @t25 tptp.sz0z00) (= @t24 @t1) (= @t23 tptp.sz0z00))) % 66.50/66.77 (define @t32 () (=> @t12 @t31)) % 66.50/66.77 (define @t33 () (forall @t3 @t32)) % 66.50/66.77 (define @t34 () (@var "W2" $$unsorted)) % 66.50/66.77 (define @t35 () (tptp.sdtasdt0 @t5 @t34)) % 66.50/66.77 (define @t36 () (tptp.sdtpldt0 @t5 @t34)) % 66.50/66.77 (define @t37 () (and (= (tptp.sdtpldt0 @t14 @t34) (tptp.sdtpldt0 @t1 @t36)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t34) (tptp.sdtasdt0 @t1 @t35)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))) % 66.50/66.77 (define @t38 () (tptp.aScalar0 @t34)) % 66.50/66.77 (define @t39 () (and @t12 @t15 @t38)) % 66.50/66.77 (define @t40 () (@list @t1 @t5 @t34)) % 66.50/66.77 (define @t41 () (forall @t40 (=> @t39 @t37))) % 66.50/66.77 (define @t42 () (tptp.sdtasdt0 @t1 @t34)) % 66.50/66.77 (define @t43 () (and (= (tptp.sdtasdt0 @t1 @t36) (tptp.sdtpldt0 @t17 @t42)) (= (tptp.sdtasdt0 @t14 @t34) (tptp.sdtpldt0 @t42 @t35)))) % 66.50/66.77 (define @t44 () (forall @t40 (=> @t39 @t43))) % 66.50/66.77 (define @t45 () (@var "W3" $$unsorted)) % 66.50/66.77 (define @t46 () (tptp.sdtasdt0 @t5 @t45)) % 66.50/66.77 (define @t47 () (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t34 @t45)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t42 (tptp.sdtasdt0 @t1 @t45)) (tptp.sdtpldt0 @t35 @t46)))) % 66.50/66.77 (define @t48 () (tptp.aScalar0 @t45)) % 66.50/66.77 (define @t49 () (and @t12 @t15 @t38 @t48)) % 66.50/66.77 (define @t50 () (@list @t1 @t5 @t34 @t45)) % 66.50/66.77 (define @t51 () (forall @t50 (=> @t49 @t47))) % 66.50/66.77 (define @t52 () (tptp.smndt0 @t17)) % 66.50/66.77 (define @t53 () (tptp.sdtasdt0 @t20 @t5)) % 66.50/66.77 (define @t54 () (tptp.smndt0 @t5)) % 66.50/66.77 (define @t55 () (tptp.sdtasdt0 @t1 @t54)) % 66.50/66.77 (define @t56 () (and (= @t55 @t52) (= @t53 @t52))) % 66.50/66.77 (define @t57 () (=> @t16 @t56)) % 66.50/66.77 (define @t58 () (forall @t11 @t57)) % 66.50/66.77 (define @t59 () (tptp.sdtasdt0 @t20 @t54)) % 66.50/66.77 (define @t60 () (=> @t16 (= @t59 @t17))) % 66.50/66.77 (define @t61 () (forall @t11 @t60)) % 66.50/66.77 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 66.50/66.77 (define @t63 () (tptp.sdtlseqdt0 @t1 @t1)) % 66.50/66.77 (define @t64 () (forall @t3 (=> @t12 @t63))) % 66.50/66.77 (define @t65 () (tptp.sdtlseqdt0 @t5 @t1)) % 66.50/66.77 (define @t66 () (and @t62 @t65)) % 66.50/66.77 (define @t67 () (=> @t66 @t9)) % 66.50/66.77 (define @t68 () (forall @t11 (=> @t16 @t67))) % 66.50/66.77 (define @t69 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t34) (tptp.sdtpldt0 @t5 @t45))) % 66.50/66.77 (define @t70 () (tptp.sdtlseqdt0 @t34 @t45)) % 66.50/66.77 (define @t71 () (and @t62 @t70)) % 66.50/66.77 (define @t72 () (=> @t71 @t69)) % 66.50/66.77 (define @t73 () (forall @t50 (=> @t49 @t72))) % 66.50/66.77 (define @t74 () (tptp.sdtlseqdt0 @t42 @t46)) % 66.50/66.77 (define @t75 () (tptp.sdtlseqdt0 tptp.sz0z00 @t34)) % 66.50/66.77 (define @t76 () (and @t62 @t75 @t70)) % 66.50/66.77 (define @t77 () (=> @t76 @t74)) % 66.50/66.77 (define @t78 () (forall @t50 (=> @t49 @t77))) % 66.50/66.77 (define @t79 () (or @t62 @t65)) % 66.50/66.77 (define @t80 () (forall @t11 (=> @t16 @t79))) % 66.50/66.77 (define @t81 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 66.50/66.77 (define @t82 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 66.50/66.77 (define @t83 () (tptp.sdtasdt0 @t1 @t1)) % 66.50/66.77 (define @t84 () (tptp.sdtlseqdt0 tptp.sz0z00 @t83)) % 66.50/66.77 (define @t85 () (forall @t3 (=> @t12 @t84))) % 66.50/66.77 (define @t86 () (= @t83 (tptp.sdtasdt0 @t5 @t5))) % 66.50/66.77 (define @t87 () (and @t82 @t81 @t86)) % 66.50/66.77 (define @t88 () (=> @t87 @t9)) % 66.50/66.77 (define @t89 () (forall @t11 (=> @t16 @t88))) % 66.50/66.77 (define @t90 () (tptp.aVector0 @t1)) % 66.50/66.77 (define @t91 () (tptp.aDimensionOf0 @t1)) % 66.50/66.77 (define @t92 () (tptp.aDimensionOf0 @t5)) % 66.50/66.77 (define @t93 () (tptp.aVector0 @t5)) % 66.50/66.77 (define @t94 () (tptp.sziznziztdt0 @t1)) % 66.50/66.77 (define @t95 () (tptp.sziznziztdt0 @t5)) % 66.50/66.77 (define @t96 () (= @t92 tptp.sz00)) % 66.50/66.77 (define @t97 () (= @t91 @t92)) % 66.50/66.77 (define @t98 () (and @t97 (not @t96))) % 66.50/66.77 (define @t99 () (and @t90 @t93)) % 66.50/66.77 (define @t100 () (tptp.sdtasasdt0 @t1 @t5)) % 66.50/66.77 (define @t101 () (tptp.aScalar0 @t100)) % 66.50/66.77 (define @t102 () (=> @t97 @t101)) % 66.50/66.77 (define @t103 () (forall @t11 (=> @t99 @t102))) % 66.50/66.77 (define @t104 () (tptp.sdtasasdt0 @t1 @t1)) % 66.50/66.77 (define @t105 () (tptp.sdtlseqdt0 tptp.sz0z00 @t104)) % 66.50/66.77 (define @t106 () (forall @t3 (=> @t90 @t105))) % 66.50/66.77 (define @t107 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t100 @t100) (tptp.sdtasdt0 @t104 (tptp.sdtasasdt0 @t5 @t5)))) % 66.50/66.77 (define @t108 () (tptp.sdtasasdt0 @t34 @t45)) % 66.50/66.77 (define @t109 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t108 @t108) (tptp.sdtasdt0 (tptp.sdtasasdt0 @t34 @t34) (tptp.sdtasasdt0 @t45 @t45)))) % 66.50/66.77 (define @t110 () (tptp.aDimensionOf0 @t34)) % 66.50/66.77 (define @t111 () (tptp.iLess0 @t110 @t91)) % 66.50/66.77 (define @t112 () (=> @t111 @t109)) % 66.50/66.77 (define @t113 () (= @t110 (tptp.aDimensionOf0 @t45))) % 66.50/66.77 (define @t114 () (=> @t113 @t112)) % 66.50/66.77 (define @t115 () (tptp.aVector0 @t45)) % 66.50/66.77 (define @t116 () (tptp.aVector0 @t34)) % 66.50/66.77 (define @t117 () (and @t116 @t115)) % 66.50/66.77 (define @t118 () (@list @t34 @t45)) % 66.50/66.77 (define @t119 () (forall @t118 (=> @t117 @t114))) % 66.50/66.77 (define @t120 () (=> @t119 @t107)) % 66.50/66.77 (define @t121 () (=> @t97 @t120)) % 66.50/66.77 (define @t122 () (=> @t99 @t121)) % 66.50/66.77 (define @t123 () (forall @t11 @t122)) % 66.50/66.77 (define @t124 () (not @t123)) % 66.50/66.77 (define @t125 () (= tptp.sz0z00 @t23)) % 66.50/66.77 (define @t126 () (and (= @t1 @t30) (= @t1 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= tptp.sz0z00 @t26) (= tptp.sz0z00 @t25) (= @t1 @t24) @t125)) % 66.50/66.77 (define @t127 () (not @t111)) % 66.50/66.77 (define @t128 () (not @t113)) % 66.50/66.77 (define @t129 () (not @t115)) % 66.50/66.77 (define @t130 () (not @t116)) % 66.50/66.77 (define @t131 () (or @t130 @t129 @t128 @t127 @t109)) % 66.50/66.77 (define @t132 () (forall @t118 @t131)) % 66.50/66.77 (define @t133 () (not @t132)) % 66.50/66.77 (define @t134 () (not @t97)) % 66.50/66.77 (define @t135 () (not @t93)) % 66.50/66.77 (define @t136 () (not @t90)) % 66.50/66.77 (define @t137 () (or @t136 @t135 @t134 @t133 @t107)) % 66.50/66.77 (define @t138 () (forall @t11 @t137)) % 66.50/66.77 (define @t139 () (@quantifiers_skolemize @t138 1)) % 66.50/66.77 (define @t140 () (@quantifiers_skolemize @t138 0)) % 66.50/66.77 (define @t141 () (tptp.sdtasasdt0 @t140 @t139)) % 66.50/66.77 (define @t142 () (@list @t141)) % 66.50/66.77 (define @t143 () (or @t136 @t135 @t134 @t101)) % 66.50/66.77 (define @t144 () (or @t136 @t135)) % 66.50/66.77 (define @t145 () (not @t99)) % 66.50/66.77 (define @t146 () (or @t134 @t133 @t107)) % 66.50/66.77 (define @t147 () (=> @t132 @t107)) % 66.50/66.77 (define @t148 () (=> @t97 @t147)) % 66.50/66.77 (define @t149 () (or @t128 @t127 @t109)) % 66.50/66.77 (define @t150 () (tptp.aDimensionOf0 @t139)) % 66.50/66.77 (define @t151 () (tptp.aDimensionOf0 @t140)) % 66.50/66.77 (define @t152 () (= @t151 @t150)) % 66.50/66.77 (define @t153 () (tptp.sdtasasdt0 @t139 @t139)) % 66.50/66.77 (define @t154 () (tptp.sdtasasdt0 @t140 @t140)) % 66.50/66.77 (define @t155 () (tptp.sdtasdt0 @t154 @t153)) % 66.50/66.77 (define @t156 () (tptp.sdtasdt0 @t141 @t141)) % 66.50/66.77 (define @t157 () (tptp.sdtlseqdt0 @t156 @t155)) % 66.50/66.77 (define @t158 () (not @t152)) % 66.50/66.77 (define @t159 () (tptp.aVector0 @t139)) % 66.50/66.77 (define @t160 () (not @t159)) % 66.50/66.77 (define @t161 () (tptp.aVector0 @t140)) % 66.50/66.77 (define @t162 () (not @t161)) % 66.50/66.77 (define @t163 () (or @t162 @t160 @t158 (not (forall @t118 (or @t130 @t129 @t128 (not (tptp.iLess0 @t110 @t151)) @t109))) @t157)) % 66.50/66.77 (define @t164 () (@list true)) % 66.50/66.77 (define @t165 () (@list @t163)) % 66.50/66.77 (define @t166 () (tptp.aScalar0 @t141)) % 66.50/66.77 (define @t167 () (or @t162 @t160 @t158 @t166)) % 66.50/66.77 (define @t168 () (@list false false false false)) % 66.50/66.77 (define @t169 () (tptp.smndt0 @t141)) % 66.50/66.77 (define @t170 () (tptp.sdtpldt0 @t141 @t169)) % 66.50/66.77 (define @t171 () (= tptp.sz0z00 @t170)) % 66.50/66.77 (define @t172 () (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t141))) % 66.50/66.77 (define @t173 () (tptp.sdtasdt0 @t141 tptp.sz0z00)) % 66.50/66.77 (define @t174 () (= tptp.sz0z00 @t173)) % 66.50/66.77 (define @t175 () (tptp.sdtpldt0 @t141 tptp.sz0z00)) % 66.50/66.77 (define @t176 () (= @t141 @t175)) % 66.50/66.77 (define @t177 () (and @t176 (= @t141 (tptp.sdtpldt0 tptp.sz0z00 @t141)) @t174 @t172 @t171 (= tptp.sz0z00 (tptp.sdtpldt0 @t169 @t141)) (= @t141 (tptp.smndt0 @t169)) @t125)) % 66.50/66.77 (define @t178 () (not @t166)) % 66.50/66.77 (define @t179 () (or @t178 @t177)) % 66.50/66.77 (define @t180 () (@list false false)) % 66.50/66.77 (define @t181 () (not @t177)) % 66.50/66.77 (define @t182 () (@list false)) % 66.50/66.77 (define @t183 () (@list @t177)) % 66.50/66.77 (define @t184 () (not @t70)) % 66.50/66.77 (define @t185 () (not @t75)) % 66.50/66.77 (define @t186 () (not @t62)) % 66.50/66.77 (define @t187 () (not @t48)) % 66.50/66.77 (define @t188 () (not @t38)) % 66.50/66.77 (define @t189 () (not @t15)) % 66.50/66.77 (define @t190 () (not @t12)) % 66.50/66.77 (define @t191 () (or @t186 @t185 @t184 @t74)) % 66.50/66.77 (define @t192 () (or @t190 @t189 @t188 @t187)) % 66.50/66.77 (define @t193 () (or @t186 @t185 @t184)) % 66.50/66.77 (define @t194 () (not @t49)) % 66.50/66.77 (define @t195 () (tptp.smndt0 @t155)) % 66.50/66.77 (define @t196 () (tptp.sdtasdt0 @t195 @t155)) % 66.50/66.77 (define @t197 () (tptp.smndt0 @t156)) % 66.50/66.77 (define @t198 () (= @t17 @t59)) % 66.50/66.77 (define @t199 () (or @t190 @t189)) % 66.50/66.77 (define @t200 () (not @t16)) % 66.50/66.77 (define @t201 () (@list @t156)) % 66.50/66.77 (define @t202 () (@list @t141 @t141)) % 66.50/66.77 (define @t203 () (tptp.aScalar0 @t156)) % 66.50/66.77 (define @t204 () (or @t178 @t178 @t203)) % 66.50/66.77 (define @t205 () (tptp.aScalar0 @t197)) % 66.50/66.77 (define @t206 () (not @t203)) % 66.50/66.77 (define @t207 () (or @t206 @t205)) % 66.50/66.77 (define @t208 () (tptp.smndt0 @t197)) % 66.50/66.77 (define @t209 () (tptp.sdtasdt0 @t208 @t208)) % 66.50/66.77 (define @t210 () (tptp.sdtasdt0 @t197 @t197)) % 66.50/66.77 (define @t211 () (= @t210 @t209)) % 66.50/66.77 (define @t212 () (not @t205)) % 66.50/66.77 (define @t213 () (or @t212 @t212 @t211)) % 66.50/66.77 (define @t214 () (and (= @t52 @t55) (= @t52 @t53))) % 66.50/66.77 (define @t215 () (or @t190 @t189 @t214)) % 66.50/66.77 (define @t216 () (tptp.sdtasdt0 tptp.sz0z00 @t155)) % 66.50/66.77 (define @t217 () (tptp.smndt0 @t216)) % 66.50/66.77 (define @t218 () (= @t217 (tptp.sdtasdt0 @t23 @t155))) % 66.50/66.77 (define @t219 () (tptp.sdtasdt0 tptp.sz0z00 @t195)) % 66.50/66.77 (define @t220 () (and (= @t217 @t219) @t218)) % 66.50/66.77 (define @t221 () (tptp.aScalar0 @t155)) % 66.50/66.77 (define @t222 () (not @t221)) % 66.50/66.77 (define @t223 () (not @t13)) % 66.50/66.77 (define @t224 () (or @t223 @t222 @t220)) % 66.50/66.77 (define @t225 () (forall @t11 @t215)) % 66.50/66.77 (define @t226 () (= @t219 @t217)) % 66.50/66.77 (define @t227 () (and @t226 @t218)) % 66.50/66.77 (define @t228 () (or @t223 @t222 @t227)) % 66.50/66.77 (define @t229 () (@list @t225)) % 66.50/66.77 (define @t230 () (tptp.aScalar0 @t153)) % 66.50/66.77 (define @t231 () (or @t160 @t230)) % 66.50/66.77 (define @t232 () (not (= @t150 @t150))) % 66.50/66.77 (define @t233 () (or @t160 @t160 @t232 @t230)) % 66.50/66.77 (define @t234 () (forall @t11 @t143)) % 66.50/66.77 (define @t235 () (@list @t234)) % 66.50/66.77 (define @t236 () (tptp.aScalar0 @t154)) % 66.50/66.77 (define @t237 () (or @t162 @t236)) % 66.50/66.77 (define @t238 () (not (= @t151 @t151))) % 66.50/66.77 (define @t239 () (or @t162 @t162 @t238 @t236)) % 66.50/66.77 (define @t240 () (not @t230)) % 66.50/66.77 (define @t241 () (not @t236)) % 66.50/66.77 (define @t242 () (or @t241 @t240 @t221)) % 66.50/66.77 (define @t243 () (@list false false false)) % 66.50/66.77 (define @t244 () (or @t190 @t189 @t188)) % 66.50/66.77 (define @t245 () (not @t39)) % 66.50/66.77 (define @t246 () (@list @t155)) % 66.50/66.77 (define @t247 () (tptp.aScalar0 @t195)) % 66.50/66.77 (define @t248 () (or @t222 @t247)) % 66.50/66.77 (define @t249 () (tptp.sdtasdt0 @t195 @t141)) % 66.50/66.77 (define @t250 () (tptp.sdtpldt0 @t249 (tptp.sdtasdt0 @t155 @t141))) % 66.50/66.77 (define @t251 () (tptp.sdtpldt0 @t195 @t155)) % 66.50/66.77 (define @t252 () (tptp.sdtasdt0 @t251 @t141)) % 66.50/66.77 (define @t253 () (= @t252 @t250)) % 66.50/66.77 (define @t254 () (and (= (tptp.sdtasdt0 @t195 (tptp.sdtpldt0 @t155 @t141)) (tptp.sdtpldt0 @t196 @t249)) @t253)) % 66.50/66.77 (define @t255 () (not @t247)) % 66.50/66.77 (define @t256 () (or @t255 @t222 @t178 @t254)) % 66.50/66.77 (define @t257 () (tptp.sdtasdt0 tptp.sz0z00 @t156)) % 66.50/66.77 (define @t258 () (tptp.sdtasdt0 @t156 @t156)) % 66.50/66.77 (define @t259 () (tptp.sdtpldt0 @t258 @t257)) % 66.50/66.77 (define @t260 () (tptp.sdtpldt0 @t156 tptp.sz0z00)) % 66.50/66.77 (define @t261 () (tptp.sdtasdt0 @t260 @t156)) % 66.50/66.77 (define @t262 () (= @t261 @t259)) % 66.50/66.77 (define @t263 () (tptp.sdtasdt0 @t156 tptp.sz0z00)) % 66.50/66.77 (define @t264 () (tptp.sdtpldt0 tptp.sz0z00 @t156)) % 66.50/66.77 (define @t265 () (and (= (tptp.sdtasdt0 @t156 @t264) (tptp.sdtpldt0 @t263 @t258)) @t262)) % 66.50/66.77 (define @t266 () (or @t206 @t223 @t206 @t265)) % 66.50/66.77 (define @t267 () (or @t190 @t189 @t188 @t37)) % 66.50/66.77 (define @t268 () (tptp.sdtasdt0 @t155 tptp.sz0z00)) % 66.50/66.77 (define @t269 () (tptp.sdtasdt0 @t155 @t195)) % 66.50/66.77 (define @t270 () (tptp.sdtasdt0 @t216 @t195)) % 66.50/66.77 (define @t271 () (= @t270 (tptp.sdtasdt0 tptp.sz0z00 @t269))) % 66.50/66.77 (define @t272 () (tptp.sdtpldt0 tptp.sz0z00 @t155)) % 66.50/66.77 (define @t273 () (tptp.sdtpldt0 @t155 tptp.sz0z00)) % 66.50/66.77 (define @t274 () (tptp.sdtpldt0 @t155 @t195)) % 66.50/66.77 (define @t275 () (= (tptp.sdtpldt0 @t272 @t195) (tptp.sdtpldt0 tptp.sz0z00 @t274))) % 66.50/66.77 (define @t276 () (and @t275 (= @t272 @t273) @t271 (= @t216 @t268))) % 66.50/66.77 (define @t277 () (or @t223 @t222 @t255 @t276)) % 66.50/66.77 (define @t278 () (forall @t40 @t267)) % 66.50/66.77 (define @t279 () (and @t275 (= @t273 @t272) @t271 (= @t268 @t216))) % 66.50/66.77 (define @t280 () (or @t223 @t222 @t255 @t279)) % 66.50/66.77 (define @t281 () (@list @t278)) % 66.50/66.77 (define @t282 () (= @t196 @t269)) % 66.50/66.77 (define @t283 () (= (tptp.sdtasdt0 @t196 tptp.sz0z00) (tptp.sdtasdt0 @t195 @t268))) % 66.50/66.77 (define @t284 () (= (tptp.sdtpldt0 @t251 tptp.sz0z00) (tptp.sdtpldt0 @t195 @t273))) % 66.50/66.77 (define @t285 () (and @t284 (= @t251 @t274) @t283 @t282)) % 66.50/66.77 (define @t286 () (or @t255 @t222 @t223 @t285)) % 66.50/66.77 (define @t287 () (@list @t195 @t155 tptp.sz0z00)) % 66.50/66.77 (define @t288 () (and @t284 (= @t274 @t251) @t283 @t282)) % 66.50/66.77 (define @t289 () (or @t255 @t222 @t223 @t288)) % 66.50/66.77 (define @t290 () (not @t65)) % 66.50/66.77 (define @t291 () (or @t186 @t290 @t9)) % 66.50/66.77 (define @t292 () (not @t86)) % 66.50/66.77 (define @t293 () (not @t81)) % 66.50/66.77 (define @t294 () (not @t82)) % 66.50/66.77 (define @t295 () (or @t294 @t293 @t292 @t9)) % 66.50/66.77 (define @t296 () (or @t294 @t293 @t292)) % 66.50/66.77 (define @t297 () (or @t186 @t184 @t69)) % 66.50/66.77 (define @t298 () (tptp.smndt0 @t195)) % 66.50/66.77 (define @t299 () (= @t155 @t298)) % 66.50/66.77 (define @t300 () (= tptp.sz0z00 @t251)) % 66.50/66.77 (define @t301 () (= tptp.sz0z00 @t216)) % 66.50/66.77 (define @t302 () (= tptp.sz0z00 @t268)) % 66.50/66.77 (define @t303 () (= @t155 @t272)) % 66.50/66.77 (define @t304 () (= @t155 @t273)) % 66.50/66.77 (define @t305 () (and @t304 @t303 @t302 @t301 (= tptp.sz0z00 @t274) @t300 @t299 @t125)) % 66.50/66.77 (define @t306 () (or @t222 @t305)) % 66.50/66.77 (define @t307 () (not @t305)) % 66.50/66.77 (define @t308 () (@list @t305)) % 66.50/66.77 (define @t309 () (= @t156 @t208)) % 66.50/66.77 (define @t310 () (tptp.sdtpldt0 @t156 @t197)) % 66.50/66.77 (define @t311 () (= tptp.sz0z00 @t310)) % 66.50/66.77 (define @t312 () (= @t156 @t264)) % 66.50/66.77 (define @t313 () (= @t156 @t260)) % 66.50/66.77 (define @t314 () (and @t313 @t312 (= tptp.sz0z00 @t263) (= tptp.sz0z00 @t257) @t311 (= tptp.sz0z00 (tptp.sdtpldt0 @t197 @t156)) @t309 @t125)) % 66.50/66.77 (define @t315 () (or @t206 @t314)) % 66.50/66.77 (define @t316 () (not @t314)) % 66.50/66.77 (define @t317 () (@list @t314)) % 66.50/66.77 (define @t318 () (tptp.sdtlseqdt0 @t264 @t273)) % 66.50/66.77 (define @t319 () (tptp.sdtlseqdt0 tptp.sz0z00 @t153)) % 66.50/66.77 (define @t320 () (or @t160 @t319)) % 66.50/66.77 (define @t321 () (tptp.sdtlseqdt0 tptp.sz0z00 @t154)) % 66.50/66.77 (define @t322 () (or @t162 @t321)) % 66.50/66.77 (define @t323 () (@list tptp.sz0z00)) % 66.50/66.77 (define @t324 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 66.50/66.77 (define @t325 () (or @t223 @t324)) % 66.50/66.77 (define @t326 () (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00)) % 66.50/66.77 (define @t327 () (tptp.sdtlseqdt0 @t326 @t155)) % 66.50/66.77 (define @t328 () (not @t319)) % 66.50/66.77 (define @t329 () (not @t324)) % 66.50/66.77 (define @t330 () (not @t321)) % 66.50/66.77 (define @t331 () (or @t223 @t241 @t223 @t240 @t330 @t329 @t328 @t327)) % 66.50/66.77 (define @t332 () (@list false false false false false false false)) % 66.50/66.77 (define @t333 () (= tptp.sz0z00 @t326)) % 66.50/66.77 (define @t334 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 66.50/66.77 (define @t335 () (and @t334 @t334 @t333 @t333 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t23)) (= tptp.sz0z00 (tptp.sdtpldt0 @t23 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t23)) @t125)) % 66.50/66.77 (define @t336 () (or @t223 @t335)) % 66.50/66.77 (define @t337 () (not @t335)) % 66.50/66.77 (define @t338 () (@list @t335)) % 66.50/66.77 (define @t339 () (tptp.sdtlseqdt0 tptp.sz0z00 @t155)) % 66.50/66.77 (define @t340 () (tptp.sdtlseqdt0 @t156 tptp.sz0z00)) % 66.50/66.77 (define @t341 () (not @t340)) % 66.50/66.77 (define @t342 () (not @t339)) % 66.50/66.77 (define @t343 () (or @t223 @t222 @t206 @t223 @t342 @t341 @t318)) % 66.50/66.77 (define @t344 () (@list false false false false true false)) % 66.50/66.77 (define @t345 () (tptp.sdtlseqdt0 @t156 @t156)) % 66.50/66.77 (define @t346 () (or @t206 @t345)) % 66.50/66.77 (define @t347 () (= tptp.sz0z00 @t156)) % 66.50/66.77 (define @t348 () (not @t347)) % 66.50/66.77 (define @t349 () (not @t345)) % 66.50/66.77 (define @t350 () (and @t341 @t347 @t345)) % 66.50/66.77 (define @t351 () (@list false true)) % 66.50/66.77 (define @t352 () (tptp.sdtlseqdt0 tptp.sz0z00 @t156)) % 66.50/66.77 (define @t353 () (or @t178 @t352)) % 66.50/66.77 (define @t354 () (= @t326 @t258)) % 66.50/66.77 (define @t355 () (not @t354)) % 66.50/66.77 (define @t356 () (not @t352)) % 66.50/66.77 (define @t357 () (or @t223 @t206 @t329 @t356 @t355 @t347)) % 66.50/66.77 (define @t358 () (= tptp.sz0z00 @t258)) % 66.50/66.77 (define @t359 () (not @t358)) % 66.50/66.77 (define @t360 () (not @t333)) % 66.50/66.77 (define @t361 () (and @t333 @t355)) % 66.50/66.77 (define @t362 () (tptp.aScalar0 @t258)) % 66.50/66.77 (define @t363 () (or @t206 @t206 @t362)) % 66.50/66.77 (define @t364 () (tptp.sdtlseqdt0 tptp.sz0z00 @t258)) % 66.50/66.77 (define @t365 () (or @t206 @t364)) % 66.50/66.77 (define @t366 () (tptp.sdtlseqdt0 @t258 tptp.sz0z00)) % 66.50/66.77 (define @t367 () (not @t366)) % 66.50/66.77 (define @t368 () (not @t364)) % 66.50/66.77 (define @t369 () (not @t362)) % 66.50/66.77 (define @t370 () (or @t223 @t369 @t368 @t367 @t358)) % 66.50/66.77 (define @t371 () (tptp.sdtasdt0 @t23 @t196)) % 66.50/66.77 (define @t372 () (tptp.sdtlseqdt0 @t210 @t371)) % 66.50/66.77 (define @t373 () (not @t372)) % 66.50/66.77 (define @t374 () (not @t211)) % 66.50/66.77 (define @t375 () (not @t226)) % 66.50/66.77 (define @t376 () (not @t253)) % 66.50/66.77 (define @t377 () (not @t262)) % 66.50/66.77 (define @t378 () (not @t271)) % 66.50/66.77 (define @t379 () (not @t282)) % 66.50/66.77 (define @t380 () (not @t300)) % 66.50/66.77 (define @t381 () (not @t301)) % 66.50/66.77 (define @t382 () (not @t309)) % 66.50/66.77 (define @t383 () (not @t313)) % 66.50/66.77 (define @t384 () (not @t172)) % 66.50/66.77 (define @t385 () (not @t125)) % 66.50/66.77 (define @t386 () (and @t125 @t172 @t313 @t309 @t301 @t300 @t282 @t271 @t262 @t253 @t226 @t211 @t367)) % 66.50/66.77 (define @t387 () (@list @t197)) % 66.50/66.77 (define @t388 () (tptp.sdtlseqdt0 @t197 @t197)) % 66.50/66.77 (define @t389 () (or @t212 @t388)) % 66.50/66.77 (define @t390 () (tptp.sdtpldt0 tptp.sz0z00 @t197)) % 66.50/66.77 (define @t391 () (tptp.sdtlseqdt0 @t390 @t310)) % 66.50/66.77 (define @t392 () (not @t388)) % 66.50/66.77 (define @t393 () (or @t223 @t206 @t212 @t212 @t356 @t392 @t391)) % 66.50/66.77 (define @t394 () (@list false false false false false false)) % 66.50/66.77 (define @t395 () (tptp.sdtasdt0 @t155 @t155)) % 66.50/66.77 (define @t396 () (tptp.sdtasdt0 @t154 @t155)) % 66.50/66.77 (define @t397 () (@list @t154)) % 66.50/66.77 (define @t398 () (tptp.sdtlseqdt0 @t154 @t154)) % 66.50/66.77 (define @t399 () (or @t241 @t398)) % 66.50/66.77 (define @t400 () (tptp.smndt0 @t153)) % 66.50/66.77 (define @t401 () (@list @t153)) % 66.50/66.77 (define @t402 () (tptp.aScalar0 @t400)) % 66.50/66.77 (define @t403 () (or @t240 @t402)) % 66.50/66.77 (define @t404 () (tptp.sdtlseqdt0 @t400 @t400)) % 66.50/66.77 (define @t405 () (not @t402)) % 66.50/66.77 (define @t406 () (or @t405 @t404)) % 66.50/66.77 (define @t407 () (tptp.sdtasdt0 @t400 @t154)) % 66.50/66.77 (define @t408 () (tptp.sdtasdt0 @t400 tptp.sz0z00)) % 66.50/66.77 (define @t409 () (tptp.sdtlseqdt0 @t408 @t407)) % 66.50/66.77 (define @t410 () (not @t404)) % 66.50/66.77 (define @t411 () (or @t405 @t405 @t223 @t241 @t410 @t329 @t330 @t409)) % 66.50/66.77 (define @t412 () (tptp.sdtasdt0 @t153 @t154)) % 66.50/66.77 (define @t413 () (tptp.smndt0 @t412)) % 66.50/66.77 (define @t414 () (= @t413 @t407)) % 66.50/66.77 (define @t415 () (tptp.smndt0 @t154)) % 66.50/66.77 (define @t416 () (tptp.sdtasdt0 @t153 @t415)) % 66.50/66.77 (define @t417 () (and (= @t413 @t416) @t414)) % 66.50/66.77 (define @t418 () (or @t240 @t241 @t417)) % 66.50/66.77 (define @t419 () (and (= @t416 @t413) @t414)) % 66.50/66.77 (define @t420 () (or @t240 @t241 @t419)) % 66.50/66.77 (define @t421 () (= @t155 @t412)) % 66.50/66.77 (define @t422 () (tptp.sdtpldt0 @t153 @t154)) % 66.50/66.77 (define @t423 () (tptp.sdtpldt0 @t154 @t153)) % 66.50/66.77 (define @t424 () (= @t423 @t422)) % 66.50/66.77 (define @t425 () (and (= (tptp.sdtpldt0 @t423 @t155) (tptp.sdtpldt0 @t154 (tptp.sdtpldt0 @t153 @t155))) @t424 (= @t395 (tptp.sdtasdt0 @t154 (tptp.sdtasdt0 @t153 @t155))) @t421)) % 66.50/66.77 (define @t426 () (or @t241 @t240 @t222 @t425)) % 66.50/66.77 (define @t427 () (tptp.sdtasdt0 @t153 tptp.sz0z00)) % 66.50/66.77 (define @t428 () (tptp.smndt0 @t427)) % 66.50/66.77 (define @t429 () (= @t428 (tptp.sdtasdt0 @t153 @t23))) % 66.50/66.77 (define @t430 () (and @t429 (= @t428 @t408))) % 66.50/66.77 (define @t431 () (or @t240 @t223 @t430)) % 66.50/66.77 (define @t432 () (= @t408 @t428)) % 66.50/66.77 (define @t433 () (and @t429 @t432)) % 66.50/66.77 (define @t434 () (or @t240 @t223 @t433)) % 66.50/66.77 (define @t435 () (= tptp.sz0z00 @t427)) % 66.50/66.77 (define @t436 () (and (= @t153 (tptp.sdtpldt0 @t153 tptp.sz0z00)) (= @t153 (tptp.sdtpldt0 tptp.sz0z00 @t153)) @t435 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t153)) (= tptp.sz0z00 (tptp.sdtpldt0 @t153 @t400)) (= tptp.sz0z00 (tptp.sdtpldt0 @t400 @t153)) (= @t153 (tptp.smndt0 @t400)) @t125)) % 66.50/66.77 (define @t437 () (or @t240 @t436)) % 66.50/66.77 (define @t438 () (tptp.sdtlseqdt0 tptp.sz0z00 @t195)) % 66.50/66.77 (define @t439 () (tptp.sdtlseqdt0 @t155 @t155)) % 66.50/66.77 (define @t440 () (or @t222 @t439)) % 66.50/66.77 (define @t441 () (tptp.sdtlseqdt0 @t272 @t251)) % 66.50/66.77 (define @t442 () (not @t439)) % 66.50/66.77 (define @t443 () (not @t438)) % 66.50/66.77 (define @t444 () (or @t223 @t255 @t222 @t222 @t443 @t442 @t441)) % 66.50/66.77 (define @t445 () (tptp.sdtlseqdt0 @t155 tptp.sz0z00)) % 66.50/66.77 (define @t446 () (tptp.sdtasdt0 @t154 tptp.sz0z00)) % 66.50/66.77 (define @t447 () (tptp.sdtlseqdt0 @t396 @t446)) % 66.50/66.77 (define @t448 () (not @t445)) % 66.50/66.77 (define @t449 () (not @t398)) % 66.50/66.77 (define @t450 () (or @t241 @t241 @t222 @t223 @t449 @t342 @t448 @t447)) % 66.50/66.77 (define @t451 () (= tptp.sz0z00 @t446)) % 66.50/66.77 (define @t452 () (and (= @t154 (tptp.sdtpldt0 @t154 tptp.sz0z00)) (= @t154 (tptp.sdtpldt0 tptp.sz0z00 @t154)) @t451 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t154)) (= tptp.sz0z00 (tptp.sdtpldt0 @t154 @t415)) (= tptp.sz0z00 (tptp.sdtpldt0 @t415 @t154)) (= @t154 (tptp.smndt0 @t415)) @t125)) % 66.50/66.77 (define @t453 () (or @t241 @t452)) % 66.50/66.77 (define @t454 () (tptp.sdtlseqdt0 @t396 tptp.sz0z00)) % 66.50/66.77 (define @t455 () (tptp.sdtlseqdt0 @t326 @t396)) % 66.50/66.77 (define @t456 () (or @t223 @t241 @t223 @t222 @t330 @t329 @t342 @t455)) % 66.50/66.77 (define @t457 () (tptp.sdtasdt0 @t155 @t154)) % 66.50/66.77 (define @t458 () (= @t457 @t396)) % 66.50/66.77 (define @t459 () (tptp.sdtasdt0 @t457 @t153)) % 66.50/66.77 (define @t460 () (tptp.sdtpldt0 @t154 @t155)) % 66.50/66.77 (define @t461 () (tptp.sdtpldt0 @t155 @t154)) % 66.50/66.77 (define @t462 () (= @t461 @t460)) % 66.50/66.77 (define @t463 () (= (tptp.sdtpldt0 @t461 @t153) (tptp.sdtpldt0 @t155 @t423))) % 66.50/66.77 (define @t464 () (and @t463 @t462 (= @t459 @t395) @t458)) % 66.50/66.77 (define @t465 () (or @t222 @t241 @t240 @t464)) % 66.50/66.77 (define @t466 () (and @t463 @t462 (= @t395 @t459) @t458)) % 66.50/66.77 (define @t467 () (or @t222 @t241 @t240 @t466)) % 66.50/66.77 (define @t468 () (tptp.sdtlseqdt0 tptp.sz0z00 @t396)) % 66.50/66.77 (define @t469 () (tptp.aScalar0 @t396)) % 66.50/66.77 (define @t470 () (or @t241 @t222 @t469)) % 66.50/66.77 (define @t471 () (tptp.sdtlseqdt0 @t153 @t153)) % 66.50/66.77 (define @t472 () (or @t240 @t471)) % 66.50/66.77 (define @t473 () (tptp.sdtasdt0 @t153 @t396)) % 66.50/66.77 (define @t474 () (tptp.sdtlseqdt0 @t473 @t427)) % 66.50/66.77 (define @t475 () (not @t454)) % 66.50/66.77 (define @t476 () (not @t468)) % 66.50/66.77 (define @t477 () (not @t471)) % 66.50/66.77 (define @t478 () (not @t469)) % 66.50/66.77 (define @t479 () (or @t240 @t240 @t478 @t223 @t477 @t476 @t475 @t474)) % 66.50/66.77 (define @t480 () (= (tptp.sdtasdt0 @t412 @t155) @t473)) % 66.50/66.77 (define @t481 () (= (tptp.sdtpldt0 @t422 @t155) (tptp.sdtpldt0 @t153 @t460))) % 66.50/66.77 (define @t482 () (and @t481 (= @t422 @t423) @t480 (= @t412 @t155))) % 66.50/66.77 (define @t483 () (or @t240 @t241 @t222 @t482)) % 66.50/66.77 (define @t484 () (and @t481 @t424 @t480 @t421)) % 66.50/66.77 (define @t485 () (or @t240 @t241 @t222 @t484)) % 66.50/66.77 (define @t486 () (tptp.sdtasdt0 @t273 @t155)) % 66.50/66.77 (define @t487 () (= @t486 (tptp.sdtpldt0 @t395 @t216))) % 66.50/66.77 (define @t488 () (tptp.sdtpldt0 @t268 @t395)) % 66.50/66.77 (define @t489 () (= (tptp.sdtasdt0 @t155 @t272) @t488)) % 66.50/66.77 (define @t490 () (and @t489 @t487)) % 66.50/66.77 (define @t491 () (or @t222 @t223 @t222 @t490)) % 66.50/66.77 (define @t492 () (not @t490)) % 66.50/66.77 (define @t493 () (@list @t490)) % 66.50/66.77 (define @t494 () (tptp.sdtpldt0 @t395 @t268)) % 66.50/66.77 (define @t495 () (tptp.sdtlseqdt0 @t395 tptp.sz0z00)) % 66.50/66.77 (define @t496 () (tptp.aScalar0 @t395)) % 66.50/66.77 (define @t497 () (or @t222 @t222 @t496)) % 66.50/66.77 (define @t498 () (tptp.sdtlseqdt0 tptp.sz0z00 @t395)) % 66.50/66.77 (define @t499 () (or @t222 @t498)) % 66.50/66.77 (define @t500 () (= tptp.sz0z00 @t395)) % 66.50/66.77 (define @t501 () (not @t495)) % 66.50/66.77 (define @t502 () (not @t498)) % 66.50/66.77 (define @t503 () (not @t496)) % 66.50/66.77 (define @t504 () (or @t223 @t503 @t502 @t501 @t500)) % 66.50/66.77 (define @t505 () (tptp.smndt0 @t268)) % 66.50/66.77 (define @t506 () (tptp.sdtasdt0 @t195 tptp.sz0z00)) % 66.50/66.77 (define @t507 () (= @t505 (tptp.sdtasdt0 @t155 @t23))) % 66.50/66.77 (define @t508 () (and @t507 (= @t505 @t506))) % 66.50/66.77 (define @t509 () (or @t222 @t223 @t508)) % 66.50/66.77 (define @t510 () (= @t506 @t505)) % 66.50/66.77 (define @t511 () (and @t507 @t510)) % 66.50/66.77 (define @t512 () (or @t222 @t223 @t511)) % 66.50/66.77 (define @t513 () (tptp.smndt0 @t269)) % 66.50/66.77 (define @t514 () (tptp.sdtasdt0 @t195 @t195)) % 66.50/66.77 (define @t515 () (tptp.sdtasdt0 @t155 @t298)) % 66.50/66.77 (define @t516 () (= @t513 @t515)) % 66.50/66.77 (define @t517 () (and @t516 (= @t513 @t514))) % 66.50/66.77 (define @t518 () (or @t222 @t255 @t517)) % 66.50/66.77 (define @t519 () (and @t516 (= @t514 @t513))) % 66.50/66.77 (define @t520 () (or @t222 @t255 @t519)) % 66.50/66.77 (define @t521 () (tptp.sdtasdt0 @t251 @t272)) % 66.50/66.77 (define @t522 () (= @t521 (tptp.sdtpldt0 (tptp.sdtpldt0 @t506 @t196) @t488))) % 66.50/66.77 (define @t523 () (or @t255 @t222 @t223 @t222 @t522)) % 66.50/66.77 (define @t524 () (tptp.sdtpldt0 @t196 @t506)) % 66.50/66.77 (define @t525 () (= (tptp.sdtasdt0 @t195 @t273) @t524)) % 66.50/66.77 (define @t526 () (and @t525 (= (tptp.sdtasdt0 @t251 tptp.sz0z00) (tptp.sdtpldt0 @t506 @t268)))) % 66.50/66.77 (define @t527 () (or @t255 @t222 @t223 @t526)) % 66.50/66.77 (define @t528 () (tptp.sdtpldt0 @t216 @t196)) % 66.50/66.77 (define @t529 () (tptp.sdtpldt0 tptp.sz0z00 @t195)) % 66.50/66.77 (define @t530 () (= (tptp.sdtasdt0 @t529 @t155) @t528)) % 66.50/66.77 (define @t531 () (and (= (tptp.sdtasdt0 tptp.sz0z00 @t251) (tptp.sdtpldt0 @t219 @t216)) @t530)) % 66.50/66.77 (define @t532 () (or @t223 @t255 @t222 @t531)) % 66.50/66.77 (define @t533 () (= @t197 @t390)) % 66.50/66.77 (define @t534 () (and (= @t197 (tptp.sdtpldt0 @t197 tptp.sz0z00)) @t533 (= tptp.sz0z00 (tptp.sdtasdt0 @t197 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t197)) (= tptp.sz0z00 (tptp.sdtpldt0 @t197 @t208)) (= tptp.sz0z00 (tptp.sdtpldt0 @t208 @t197)) (= @t197 (tptp.smndt0 @t208)) @t125)) % 66.50/66.77 (define @t535 () (or @t212 @t534)) % 66.50/66.77 (define @t536 () (= @t195 @t529)) % 66.50/66.77 (define @t537 () (and (= @t195 (tptp.sdtpldt0 @t195 tptp.sz0z00)) @t536 (= tptp.sz0z00 @t506) (= tptp.sz0z00 @t219) (= tptp.sz0z00 (tptp.sdtpldt0 @t195 @t298)) (= tptp.sz0z00 (tptp.sdtpldt0 @t298 @t195)) (= @t195 (tptp.smndt0 @t298)) @t125)) % 66.50/66.77 (define @t538 () (or @t255 @t537)) % 66.50/66.77 (define @t539 () (not @t391)) % 66.50/66.77 (define @t540 () (tptp.sdtlseqdt0 @t197 @t196)) % 66.50/66.77 (define @t541 () (not @t500)) % 66.50/66.77 (define @t542 () (not @t510)) % 66.50/66.77 (define @t543 () (not @t516)) % 66.50/66.77 (define @t544 () (not @t522)) % 66.50/66.77 (define @t545 () (not @t525)) % 66.50/66.77 (define @t546 () (not @t489)) % 66.50/66.77 (define @t547 () (not @t530)) % 66.50/66.77 (define @t548 () (not @t533)) % 66.50/66.77 (define @t549 () (not @t536)) % 66.50/66.77 (define @t550 () (not @t299)) % 66.50/66.77 (define @t551 () (not @t302)) % 66.50/66.77 (define @t552 () (not @t303)) % 66.50/66.77 (define @t553 () (not @t304)) % 66.50/66.77 (define @t554 () (not @t311)) % 66.50/66.77 (define @t555 () (not @t540)) % 66.50/66.77 (define @t556 () (= false true)) % 66.50/66.77 (define @t557 () (tptp.sdtlseqdt0 @t197 @t23)) % 66.50/66.77 (define @t558 () (tptp.smndt0 @t196)) % 66.50/66.77 (define @t559 () (and @t391 @t533 @t311 @t125 @t301 @t300 @t303 @t522 @t510 @t302 @t530 @t536 @t489 @t299 @t516 @t282 @t500 @t525 @t304 @t555)) % 66.50/66.77 (define @t560 () (tptp.aScalar0 (tptp.smndt0 @t395))) % 66.50/66.77 (define @t561 () (or @t503 @t560)) % 66.50/66.77 (define @t562 () (tptp.sdtasdt0 @t298 @t298)) % 66.50/66.77 (define @t563 () (@list @t195 @t195)) % 66.50/66.77 (define @t564 () (= @t514 @t562)) % 66.50/66.77 (define @t565 () (or @t255 @t255 @t564)) % 66.50/66.77 (define @t566 () (tptp.smndt0 @t514)) % 66.50/66.77 (define @t567 () (= @t566 (tptp.sdtasdt0 @t195 @t298))) % 66.50/66.77 (define @t568 () (and @t567 (= @t566 (tptp.sdtasdt0 @t298 @t195)))) % 66.50/66.77 (define @t569 () (or @t255 @t255 @t568)) % 66.50/66.77 (define @t570 () (tptp.aScalar0 @t196)) % 66.50/66.77 (define @t571 () (tptp.aScalar0 @t23)) % 66.50/66.77 (define @t572 () (tptp.sdtlseqdt0 tptp.sz0z00 @t197)) % 66.50/66.77 (define @t573 () (not @t572)) % 66.50/66.77 (define @t574 () (not @t557)) % 66.50/66.77 (define @t575 () (not @t570)) % 66.50/66.77 (define @t576 () (not @t571)) % 66.50/66.77 (define @t577 () (or @t212 @t576 @t212 @t575 @t574 @t573 @t555 @t372)) % 66.50/66.77 (define @t578 () (@list false false false false false true false)) % 66.50/66.77 (define @t579 () (tptp.smndt0 @t173)) % 66.50/66.77 (define @t580 () (tptp.sdtasdt0 @t169 tptp.sz0z00)) % 66.50/66.77 (define @t581 () (= @t579 (tptp.sdtasdt0 @t141 @t23))) % 66.50/66.77 (define @t582 () (and @t581 (= @t579 @t580))) % 66.50/66.77 (define @t583 () (or @t178 @t223 @t582)) % 66.50/66.77 (define @t584 () (= @t580 @t579)) % 66.50/66.77 (define @t585 () (and @t581 @t584)) % 66.50/66.77 (define @t586 () (or @t178 @t223 @t585)) % 66.50/66.77 (define @t587 () (tptp.sdtasdt0 @t169 @t141)) % 66.50/66.77 (define @t588 () (= @t197 @t587)) % 66.50/66.77 (define @t589 () (tptp.sdtasdt0 @t141 @t169)) % 66.50/66.77 (define @t590 () (= @t197 @t589)) % 66.50/66.77 (define @t591 () (and @t590 @t588)) % 66.50/66.77 (define @t592 () (or @t178 @t178 @t591)) % 66.50/66.77 (define @t593 () (not @t591)) % 66.50/66.77 (define @t594 () (@list @t591)) % 66.50/66.77 (define @t595 () (tptp.sdtlseqdt0 @t580 @t587)) % 66.50/66.77 (define @t596 () (and @t125 @t174 @t588 @t584 @t595)) % 66.50/66.77 (define @t597 () (not @t595)) % 66.50/66.77 (define @t598 () (not @t174)) % 66.50/66.77 (define @t599 () (tptp.aScalar0 @t169)) % 66.50/66.77 (define @t600 () (or @t178 @t599)) % 66.50/66.77 (define @t601 () (tptp.sdtlseqdt0 @t169 @t169)) % 66.50/66.77 (define @t602 () (not @t599)) % 66.50/66.77 (define @t603 () (or @t602 @t601)) % 66.50/66.77 (define @t604 () (tptp.sdtlseqdt0 tptp.sz0z00 @t141)) % 66.50/66.77 (define @t605 () (not @t604)) % 66.50/66.77 (define @t606 () (not @t601)) % 66.50/66.77 (define @t607 () (or @t602 @t602 @t223 @t178 @t606 @t329 @t605 @t595)) % 66.50/66.77 (define @t608 () (tptp.sdtlseqdt0 @t173 @t589)) % 66.50/66.77 (define @t609 () (not @t608)) % 66.50/66.77 (define @t610 () (not @t590)) % 66.50/66.77 (define @t611 () (and @t174 @t590 @t573)) % 66.50/66.77 (define @t612 () (tptp.sdtlseqdt0 @t141 @t141)) % 66.50/66.77 (define @t613 () (or @t178 @t612)) % 66.50/66.77 (define @t614 () (tptp.sdtlseqdt0 tptp.sz0z00 @t169)) % 66.50/66.77 (define @t615 () (not @t614)) % 66.50/66.77 (define @t616 () (not @t612)) % 66.50/66.77 (define @t617 () (or @t178 @t178 @t223 @t602 @t616 @t329 @t615 @t608)) % 66.50/66.77 (define @t618 () (tptp.sdtlseqdt0 @t169 tptp.sz0z00)) % 66.50/66.77 (define @t619 () (or @t602 @t223 @t618 @t614)) % 66.50/66.77 (define @t620 () (tptp.sdtlseqdt0 @t170 @t175)) % 66.50/66.77 (define @t621 () (not @t618)) % 66.50/66.77 (define @t622 () (or @t178 @t178 @t602 @t223 @t616 @t621 @t620)) % 66.50/66.77 (define @t623 () (not @t620)) % 66.50/66.77 (define @t624 () (not @t171)) % 66.50/66.77 (define @t625 () (not @t176)) % 66.50/66.77 (define @t626 () (and @t620 @t171 @t176 @t605)) % 66.50/66.77 (assume @p1 (forall @t3 (=> @t2 true))) % 66.50/66.77 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 66.50/66.77 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 66.50/66.77 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 66.50/66.77 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 66.50/66.77 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 66.50/66.77 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 66.50/66.77 (assume @p8 (forall @t3 (=> @t12 true))) % 66.50/66.77 (assume @p9 @t13) % 66.50/66.77 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 66.50/66.77 (assume @p11 @t19) % 66.50/66.77 (assume @p12 @t22) % 66.50/66.77 (assume @p13 @t33) % 66.50/66.77 (assume @p14 @t41) % 66.50/66.77 (assume @p15 @t44) % 66.50/66.77 (assume @p16 @t51) % 66.50/66.77 (assume @p17 @t58) % 66.50/66.77 (assume @p18 @t61) % 66.50/66.77 (assume @p19 (forall @t11 (=> @t16 (=> @t62 true)))) % 66.50/66.77 (assume @p20 @t64) % 66.50/66.77 (assume @p21 @t68) % 66.50/66.77 (assume @p22 (forall @t40 (=> @t39 (=> (and @t62 (tptp.sdtlseqdt0 @t5 @t34)) (tptp.sdtlseqdt0 @t1 @t34))))) % 66.50/66.77 (assume @p23 @t73) % 66.50/66.77 (assume @p24 @t78) % 66.50/66.77 (assume @p25 @t80) % 66.50/66.77 (assume @p26 (forall @t11 (=> @t16 (=> (and @t82 @t81) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17)))))) % 66.50/66.77 (assume @p27 @t85) % 66.50/66.77 (assume @p28 @t89) % 66.50/66.77 (assume @p29 (forall @t3 (=> @t90 true))) % 66.50/66.77 (assume @p30 (forall @t3 (=> @t90 (tptp.aNaturalNumber0 @t91)))) % 66.50/66.77 (assume @p31 (forall @t11 (=> (and @t90 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 66.50/66.77 (assume @p32 (forall @t3 (=> @t90 (=> (not (= @t91 tptp.sz00)) (forall @t8 (= (= @t5 @t94) (and @t93 (= (tptp.szszuzczcdt0 @t92) @t91) (forall (@list @t34) (=> (tptp.aNaturalNumber0 @t34) (= (tptp.sdtlbdtrb0 @t5 @t34) (tptp.sdtlbdtrb0 @t1 @t34))))))))))) % 66.50/66.77 (assume @p33 (forall @t11 (=> @t99 (=> @t98 (= (tptp.aDimensionOf0 @t94) (tptp.aDimensionOf0 @t95)))))) % 66.50/66.77 (assume @p34 @t103) % 66.50/66.77 (assume @p35 (forall @t11 (=> @t99 (=> (and @t97 @t96) (= @t100 tptp.sz0z00))))) % 66.50/66.77 (assume @p36 (forall @t11 (=> @t99 (=> @t98 (= @t100 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t94 @t95) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t91) (tptp.sdtlbdtrb0 @t5 @t92)))))))) % 66.50/66.77 (assume @p37 @t106) % 66.50/66.77 (assume @p38 @t124) % 66.50/66.77 (assume @p39 true) % 66.50/66.77 (step @p40 :rule bool-impl-elim :args (@t12 @t126)) % 66.50/66.77 (step @p41 :rule cong :premises (@p40) :args ((forall @t3 (=> @t12 @t126)))) % 66.50/66.77 (step @p42 :rule eq-symm :args (@t23 tptp.sz0z00)) % 66.50/66.77 (step @p43 :rule eq-symm :args (@t24 @t1)) % 66.50/66.77 (step @p44 :rule eq-symm :args (@t25 tptp.sz0z00)) % 66.50/66.77 (step @p45 :rule eq-symm :args (@t26 tptp.sz0z00)) % 66.50/66.77 (step @p46 :rule eq-symm :args (@t27 tptp.sz0z00)) % 66.50/66.77 (step @p47 :rule eq-symm :args (@t28 tptp.sz0z00)) % 66.50/66.77 (step @p48 :rule eq-symm :args (@t29 @t1)) % 66.50/66.77 (step @p49 :rule eq-symm :args (@t30 @t1)) % 66.50/66.77 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42) :args (@t31)) % 66.50/66.77 (step @p51 :rule refl :args (@t12)) % 66.50/66.77 (step @p52 :rule cong :premises (@p51 @p50) :args (@t32)) % 66.50/66.77 (step @p53 :rule cong :premises (@p52) :args (@t33)) % 66.50/66.77 (step @p54 :rule trans :premises (@p53 @p41)) % 66.50/66.77 (step @p55 :rule eq_resolve :premises (@p13 @p54)) % 66.50/66.77 (step @p56 :rule instantiate :premises (@p55) :args (@t142)) % 66.50/66.77 (step @p57 :rule aci_norm :args ((= (or @t144 (or @t134 @t101)) @t143))) % 66.50/66.77 (step @p58 :rule bool-impl-elim :args (@t97 @t101)) % 66.50/66.77 (step @p59 :rule bool-and-de-morgan :args (@t90 @t93 true)) % 66.50/66.77 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t145 @t102))) % 66.50/66.77 (step @p61 :rule trans :premises (@p60 @p57)) % 66.50/66.77 (step @p62 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(step @p1294 :rule false_elim :premises (@p1293)) % 66.50/66.78 (step-pop @p1562 :rule scope :premises (@p1294)) % 66.50/66.78 (step-pop @p1563 :rule scope :premises (@p1562)) % 66.50/66.78 (step-pop @p1564 :rule scope :premises (@p1563)) % 66.50/66.78 (step @p1295 :rule process_scope :premises (@p1564) :args (@t609)) % 66.50/66.78 (step @p1299 :rule and_intro :premises (@p1558 @p810 @p1278)) % 66.50/66.78 (step @p1300 :rule modus_ponens :premises (@p1299 @p1295)) % 66.50/66.78 (step-pop @p1565 :rule scope :premises (@p1300)) % 66.50/66.78 (step-pop @p1566 :rule scope :premises (@p1565)) % 66.50/66.78 (step-pop @p1567 :rule scope :premises (@p1566)) % 66.50/66.78 (step @p1301 :rule process_scope :premises (@p1567) :args (@t609)) % 66.50/66.78 (step @p1305 :rule implies_elim :premises (@p1301)) % 66.50/66.78 (step @p1306 :rule cnf_and_neg :args (@t611)) % 66.50/66.78 (step @p1307 :rule resolution :premises (@p1306 @p1305) :args (true @t611)) % 66.50/66.78 (step @p1308 :rule eq_resolve :premises (@p1307 @p1283)) % 66.50/66.78 (step @p1309 :rule chain_m_resolution :premises (@p1308 @p810 @p1278 @p1189) :args (@t609 (@list false false true) (@list @t174 @t590 @t572))) % 66.50/66.78 (step @p1310 :rule instantiate :premises (@p456) :args (@t142)) % 66.50/66.78 (step @p1311 :rule cnf_or_pos :args (@t613)) % 66.50/66.78 (step @p1312 :rule reordering :premises (@p1311) :args ((or @t178 @t612 (not @t613)))) % 66.50/66.78 (step @p1313 :rule chain_m_resolution :premises (@p1312 @p126 @p1310) :args (@t612 @t180 (@list @t166 @t613))) % 66.50/66.78 (step @p1314 :rule cnf_or_pos :args (@t617)) % 66.50/66.78 (step @p1315 :rule factoring :premises (@p1314)) % 66.50/66.78 (step @p1316 :rule reordering :premises (@p1315) :args ((or @t223 @t329 @t178 @t616 @t602 @t615 @t608 (not @t617)))) % 66.50/66.78 (step @p1317 :rule chain_m_resolution :premises (@p1316 @p9 @p460 @p126 @p1313 @p1257 @p1309 @p1275) :args (@t615 @t578 (@list @t13 @t324 @t166 @t612 @t599 @t608 @t617))) % 66.50/66.78 (step @p1318 :rule cnf_or_pos :args (@t619)) % 66.50/66.78 (step @p1319 :rule reordering :premises (@p1318) :args ((or @t223 @t602 @t614 @t618 (not @t619)))) % 66.50/66.78 (step @p1320 :rule chain_m_resolution :premises (@p1319 @p9 @p1257 @p1317 @p1274) :args (@t618 (@list false false true false) (@list @t13 @t599 @t614 @t619))) % 66.50/66.78 (step @p1321 :rule cnf_or_pos :args (@t622)) % 66.50/66.78 (step @p1322 :rule factoring :premises (@p1321)) % 66.50/66.78 (step @p1323 :rule reordering :premises (@p1322) :args ((or @t223 @t178 @t616 @t602 @t621 @t620 (not @t622)))) % 66.50/66.78 (step @p1324 :rule chain_m_resolution :premises (@p1323 @p9 @p126 @p1313 @p1257 @p1320 @p1265) :args (@t620 @t394 (@list @t13 @t166 @t612 @t599 @t618 @t622))) % 66.50/66.78 (step @p1325 :rule refl :args (@t623)) % 66.50/66.78 (step @p1326 :rule refl :args (@t624)) % 66.50/66.78 (step @p1327 :rule refl :args (@t625)) % 66.50/66.78 (step @p1328 :rule bool-double-not-elim :args (@t604)) % 66.50/66.78 (step @p1329 :rule nary_cong :premises (@p1328 @p1327 @p1326 @p1325) :args ((or (not @t605) @t625 @t624 @t623))) % 66.50/66.78 (assume-push @p1568 @t620) % 66.50/66.78 (assume-push @p1569 @t171) % 66.50/66.78 (assume-push @p1570 @t176) % 66.50/66.78 (assume-push @p1571 @t605) % 66.50/66.78 (step @p1046 :rule evaluate :args (@t556)) % 66.50/66.78 (step @p1334 :rule true_intro :premises (@p1568)) % 66.50/66.78 (step @p1335 :rule cong :premises (@p135 @p132) :args (@t604)) % 66.50/66.78 (step @p1336 :rule false_intro :premises (@p1571)) % 66.50/66.78 (step @p1337 :rule symm :premises (@p1336)) % 66.50/66.78 (step @p1338 :rule trans :premises (@p1337 @p1335 @p1334)) % 66.50/66.78 (step @p1339 false :rule eq_resolve :premises (@p1338 @p1046)) % 66.50/66.78 (step-pop @p1572 :rule scope :premises (@p1339)) % 66.50/66.78 (step-pop @p1573 :rule scope :premises (@p1572)) % 66.50/66.78 (step-pop @p1574 :rule scope :premises (@p1573)) % 66.50/66.78 (step-pop @p1575 :rule scope :premises (@p1574)) % 66.50/66.78 (step @p1340 :rule process_scope :premises (@p1575) :args (false)) % 66.50/66.78 (assume-push @p1576 @t605) % 66.50/66.78 (assume-push @p1577 @t176) % 66.50/66.78 (assume-push @p1578 @t171) % 66.50/66.78 (assume-push @p1579 @t620) % 66.50/66.78 (step @p1349 :rule and_intro :premises (@p1579 @p135 @p132 @p1576)) % 66.50/66.78 (step-pop @p1580 :rule scope :premises (@p1349)) % 66.50/66.78 (step-pop @p1581 :rule scope :premises (@p1580)) % 66.50/66.78 (step-pop @p1582 :rule scope :premises (@p1581)) % 66.50/66.78 (step-pop @p1583 :rule scope :premises (@p1582)) % 66.50/66.78 (step @p1350 :rule process_scope :premises (@p1583) :args (@t626)) % 66.50/66.78 (step @p1355 :rule implies_elim :premises (@p1350)) % 66.50/66.78 (step @p1356 :rule resolution :premises (@p1355 @p1340) :args (true @t626)) % 66.50/66.78 (step @p1357 :rule not_and :premises (@p1356)) % 66.50/66.78 (step @p1358 :rule eq_resolve :premises (@p1357 @p1329)) % 66.50/66.78 (step @p1359 false :rule chain_m_resolution :premises (@p1358 @p1324 @p1264 @p135 @p132) :args (false (@list false true false false) (@list @t620 @t604 @t171 @t176))) % 66.50/66.78 ) % 66.50/66.78 % SZS output end Proof % 66.50/66.78 % cvc5 exiting %------------------------------------------------------------------------------