%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG081+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:45:37 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG081+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:06:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.xt $$unsorted) % 0.52/0.72 (declare-const tptp.xs $$unsorted) % 0.52/0.72 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.sz0z00 $$unsorted) % 0.52/0.72 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.sz00 $$unsorted) % 0.52/0.72 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.52/0.72 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.72 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.52/0.72 (define @t3 () (@list @t1)) % 0.52/0.72 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.52/0.72 (define @t5 () (@var "W1" $$unsorted)) % 0.52/0.72 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.52/0.72 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.52/0.72 (define @t8 () (@list @t5)) % 0.52/0.72 (define @t9 () (= @t1 @t5)) % 0.52/0.72 (define @t10 () (and @t2 @t7)) % 0.52/0.72 (define @t11 () (@list @t1 @t5)) % 0.52/0.72 (define @t12 () (tptp.aScalar0 @t1)) % 0.52/0.72 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 0.52/0.72 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 0.52/0.72 (define @t15 () (tptp.aScalar0 @t5)) % 0.52/0.72 (define @t16 () (and @t12 @t15)) % 0.52/0.72 (define @t17 () (tptp.sdtasdt0 @t1 @t5)) % 0.52/0.72 (define @t18 () (tptp.smndt0 @t1)) % 0.52/0.72 (define @t19 () (tptp.smndt0 tptp.sz0z00)) % 0.52/0.72 (define @t20 () (tptp.smndt0 @t18)) % 0.52/0.72 (define @t21 () (tptp.sdtpldt0 @t18 @t1)) % 0.52/0.72 (define @t22 () (tptp.sdtpldt0 @t1 @t18)) % 0.52/0.72 (define @t23 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 0.52/0.72 (define @t24 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 0.52/0.72 (define @t25 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 0.52/0.72 (define @t26 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 0.52/0.72 (define @t27 () (and (= @t26 @t1) (= @t25 @t1) (= @t24 tptp.sz0z00) (= @t23 tptp.sz0z00) (= @t22 tptp.sz0z00) (= @t21 tptp.sz0z00) (= @t20 @t1) (= @t19 tptp.sz0z00))) % 0.52/0.72 (define @t28 () (=> @t12 @t27)) % 0.52/0.72 (define @t29 () (forall @t3 @t28)) % 0.52/0.72 (define @t30 () (@var "W2" $$unsorted)) % 0.52/0.72 (define @t31 () (tptp.sdtasdt0 @t5 @t30)) % 0.52/0.72 (define @t32 () (tptp.sdtpldt0 @t5 @t30)) % 0.52/0.72 (define @t33 () (tptp.aScalar0 @t30)) % 0.52/0.72 (define @t34 () (and @t12 @t15 @t33)) % 0.52/0.72 (define @t35 () (@list @t1 @t5 @t30)) % 0.52/0.72 (define @t36 () (tptp.sdtasdt0 @t1 @t30)) % 0.52/0.72 (define @t37 () (@var "W3" $$unsorted)) % 0.52/0.72 (define @t38 () (tptp.sdtasdt0 @t5 @t37)) % 0.52/0.72 (define @t39 () (tptp.aScalar0 @t37)) % 0.52/0.72 (define @t40 () (and @t12 @t15 @t33 @t39)) % 0.52/0.72 (define @t41 () (@list @t1 @t5 @t30 @t37)) % 0.52/0.72 (define @t42 () (tptp.smndt0 @t17)) % 0.52/0.72 (define @t43 () (tptp.smndt0 @t5)) % 0.52/0.72 (define @t44 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.52/0.72 (define @t45 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.52/0.72 (define @t46 () (tptp.sdtlseqdt0 @t30 @t37)) % 0.52/0.72 (define @t47 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t17))) % 0.52/0.72 (define @t48 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.52/0.72 (define @t49 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.52/0.72 (define @t50 () (and @t49 @t48)) % 0.52/0.72 (define @t51 () (=> @t50 @t47)) % 0.52/0.72 (define @t52 () (forall @t11 (=> @t16 @t51))) % 0.52/0.72 (define @t53 () (tptp.sdtasdt0 @t1 @t1)) % 0.52/0.72 (define @t54 () (tptp.aVector0 @t1)) % 0.52/0.72 (define @t55 () (tptp.aDimensionOf0 @t1)) % 0.52/0.72 (define @t56 () (tptp.sdtlbdtrb0 @t1 @t5)) % 0.52/0.72 (define @t57 () (tptp.sdtlbdtrb0 @t5 @t30)) % 0.52/0.72 (define @t58 () (tptp.aNaturalNumber0 @t30)) % 0.52/0.72 (define @t59 () (@list @t30)) % 0.52/0.72 (define @t60 () (tptp.aDimensionOf0 @t5)) % 0.52/0.72 (define @t61 () (tptp.szszuzczcdt0 @t60)) % 0.52/0.72 (define @t62 () (tptp.aVector0 @t5)) % 0.52/0.72 (define @t63 () (tptp.sziznziztdt0 @t1)) % 0.52/0.72 (define @t64 () (tptp.sziznziztdt0 @t5)) % 0.52/0.72 (define @t65 () (= @t60 tptp.sz00)) % 0.52/0.72 (define @t66 () (= @t55 @t60)) % 0.52/0.72 (define @t67 () (and @t66 (not @t65))) % 0.52/0.72 (define @t68 () (and @t54 @t62)) % 0.52/0.72 (define @t69 () (tptp.sdtasasdt0 @t1 @t5)) % 0.52/0.72 (define @t70 () (tptp.aScalar0 @t69)) % 0.52/0.72 (define @t71 () (=> @t66 @t70)) % 0.52/0.72 (define @t72 () (forall @t11 (=> @t68 @t71))) % 0.52/0.72 (define @t73 () (and @t66 @t65)) % 0.52/0.72 (define @t74 () (=> @t73 (= @t69 tptp.sz0z00))) % 0.52/0.72 (define @t75 () (=> @t68 @t74)) % 0.52/0.72 (define @t76 () (forall @t11 @t75)) % 0.52/0.72 (define @t77 () (tptp.sdtasasdt0 @t1 @t1)) % 0.52/0.72 (define @t78 () (tptp.sdtlseqdt0 tptp.sz0z00 @t77)) % 0.52/0.72 (define @t79 () (forall @t3 (=> @t54 @t78))) % 0.52/0.72 (define @t80 () (tptp.aVector0 tptp.xt)) % 0.52/0.72 (define @t81 () (tptp.aVector0 tptp.xs)) % 0.52/0.72 (define @t82 () (tptp.sdtasasdt0 @t5 @t5)) % 0.52/0.72 (define @t83 () (tptp.sdtasdt0 @t69 @t69)) % 0.52/0.72 (define @t84 () (tptp.sdtlseqdt0 @t83 (tptp.sdtasdt0 @t77 @t82))) % 0.52/0.72 (define @t85 () (tptp.aDimensionOf0 tptp.xs)) % 0.52/0.72 (define @t86 () (tptp.aDimensionOf0 tptp.xt)) % 0.52/0.72 (define @t87 () (= @t85 @t86)) % 0.52/0.72 (define @t88 () (tptp.sdtasasdt0 tptp.xt tptp.xt)) % 0.52/0.72 (define @t89 () (tptp.sdtasasdt0 tptp.xs tptp.xs)) % 0.52/0.72 (define @t90 () (tptp.sdtasdt0 @t89 @t88)) % 0.52/0.72 (define @t91 () (tptp.sdtasasdt0 tptp.xs tptp.xt)) % 0.52/0.72 (define @t92 () (tptp.sdtasdt0 @t91 @t91)) % 0.52/0.72 (define @t93 () (tptp.sdtlseqdt0 @t92 @t90)) % 0.52/0.72 (define @t94 () (@var "W8" $$unsorted)) % 0.52/0.72 (define @t95 () (@var "W5" $$unsorted)) % 0.52/0.72 (define @t96 () (@var "W7" $$unsorted)) % 0.52/0.72 (define @t97 () (@var "W4" $$unsorted)) % 0.52/0.72 (define @t98 () (tptp.sdtpldt0 @t97 @t96)) % 0.52/0.72 (define @t99 () (tptp.sdtasdt0 @t98 (tptp.sdtpldt0 @t95 @t94))) % 0.52/0.72 (define @t100 () (@var "W9" $$unsorted)) % 0.52/0.72 (define @t101 () (@var "W6" $$unsorted)) % 0.52/0.72 (define @t102 () (tptp.sdtpldt0 @t101 @t100)) % 0.52/0.72 (define @t103 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t102 @t102) @t99)) % 0.52/0.72 (define @t104 () (@var "W12" $$unsorted)) % 0.52/0.72 (define @t105 () (@var "W10" $$unsorted)) % 0.52/0.72 (define @t106 () (@var "W11" $$unsorted)) % 0.52/0.72 (define @t107 () (tptp.sdtpldt0 @t106 @t106)) % 0.52/0.72 (define @t108 () (tptp.sdtlseqdt0 @t107 (tptp.sdtpldt0 @t105 @t104))) % 0.52/0.72 (define @t109 () (tptp.sdtasdt0 @t97 @t95)) % 0.52/0.72 (define @t110 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t101 @t101) @t109)) % 0.52/0.72 (define @t111 () (tptp.sdtasdt0 @t105 @t104)) % 0.52/0.72 (define @t112 () (@var "W13" $$unsorted)) % 0.52/0.72 (define @t113 () (= @t112 @t111)) % 0.52/0.72 (define @t114 () (tptp.aScalar0 @t112)) % 0.52/0.72 (define @t115 () (and @t114 @t113 @t110 @t108 @t103 @t93)) % 0.52/0.72 (define @t116 () (@list @t112)) % 0.52/0.72 (define @t117 () (exists @t116 @t115)) % 0.52/0.72 (define @t118 () (tptp.sdtasdt0 @t96 @t95)) % 0.52/0.72 (define @t119 () (= @t104 @t118)) % 0.52/0.72 (define @t120 () (tptp.aScalar0 @t104)) % 0.52/0.72 (define @t121 () (and @t120 @t119 @t117)) % 0.52/0.72 (define @t122 () (@list @t104)) % 0.52/0.72 (define @t123 () (exists @t122 @t121)) % 0.52/0.72 (define @t124 () (tptp.sdtasdt0 @t101 @t100)) % 0.52/0.72 (define @t125 () (= @t106 @t124)) % 0.52/0.72 (define @t126 () (tptp.aScalar0 @t106)) % 0.52/0.72 (define @t127 () (and @t126 @t125 @t123)) % 0.52/0.72 (define @t128 () (@list @t106)) % 0.52/0.72 (define @t129 () (exists @t128 @t127)) % 0.52/0.72 (define @t130 () (tptp.sdtasdt0 @t97 @t94)) % 0.52/0.72 (define @t131 () (= @t105 @t130)) % 0.52/0.72 (define @t132 () (tptp.aScalar0 @t105)) % 0.52/0.72 (define @t133 () (and @t132 @t131 @t129)) % 0.52/0.72 (define @t134 () (@list @t105)) % 0.52/0.72 (define @t135 () (exists @t134 @t133)) % 0.52/0.72 (define @t136 () (tptp.sdtasdt0 @t30 @t37)) % 0.52/0.72 (define @t137 () (= @t100 @t136)) % 0.52/0.72 (define @t138 () (tptp.aScalar0 @t100)) % 0.52/0.72 (define @t139 () (and @t138 @t137 @t135)) % 0.52/0.72 (define @t140 () (@list @t100)) % 0.52/0.72 (define @t141 () (exists @t140 @t139)) % 0.52/0.72 (define @t142 () (tptp.sdtasdt0 @t37 @t37)) % 0.52/0.72 (define @t143 () (= @t94 @t142)) % 0.52/0.72 (define @t144 () (tptp.aScalar0 @t94)) % 0.52/0.72 (define @t145 () (and @t144 @t143 @t141)) % 0.52/0.72 (define @t146 () (@list @t94)) % 0.52/0.72 (define @t147 () (exists @t146 @t145)) % 0.52/0.72 (define @t148 () (tptp.sdtasdt0 @t30 @t30)) % 0.52/0.72 (define @t149 () (= @t96 @t148)) % 0.52/0.72 (define @t150 () (tptp.aScalar0 @t96)) % 0.52/0.72 (define @t151 () (and @t150 @t149 @t147)) % 0.52/0.72 (define @t152 () (@list @t96)) % 0.52/0.72 (define @t153 () (exists @t152 @t151)) % 0.52/0.72 (define @t154 () (= @t101 @t69)) % 0.52/0.72 (define @t155 () (tptp.aScalar0 @t101)) % 0.52/0.72 (define @t156 () (and @t155 @t154 @t153)) % 0.52/0.72 (define @t157 () (@list @t101)) % 0.52/0.72 (define @t158 () (exists @t157 @t156)) % 0.52/0.72 (define @t159 () (= @t95 @t82)) % 0.52/0.72 (define @t160 () (tptp.aScalar0 @t95)) % 0.52/0.72 (define @t161 () (and @t160 @t159 @t158)) % 0.52/0.72 (define @t162 () (@list @t95)) % 0.52/0.72 (define @t163 () (exists @t162 @t161)) % 0.52/0.72 (define @t164 () (= @t97 @t77)) % 0.52/0.72 (define @t165 () (tptp.aScalar0 @t97)) % 0.52/0.72 (define @t166 () (and @t165 @t164 @t163)) % 0.52/0.72 (define @t167 () (@list @t97)) % 0.52/0.72 (define @t168 () (exists @t167 @t166)) % 0.52/0.72 (define @t169 () (tptp.sdtlbdtrb0 tptp.xt @t86)) % 0.52/0.72 (define @t170 () (= @t37 @t169)) % 0.52/0.72 (define @t171 () (and @t39 @t170 @t168)) % 0.52/0.72 (define @t172 () (@list @t37)) % 0.52/0.72 (define @t173 () (exists @t172 @t171)) % 0.52/0.72 (define @t174 () (tptp.sdtlbdtrb0 tptp.xs @t85)) % 0.52/0.72 (define @t175 () (= @t30 @t174)) % 0.52/0.72 (define @t176 () (and @t33 @t175 @t173)) % 0.52/0.72 (define @t177 () (exists @t59 @t176)) % 0.52/0.72 (define @t178 () (tptp.sziznziztdt0 tptp.xt)) % 0.52/0.72 (define @t179 () (= @t5 @t178)) % 0.52/0.72 (define @t180 () (tptp.sdtlbdtrb0 tptp.xt @t30)) % 0.52/0.72 (define @t181 () (= @t57 @t180)) % 0.52/0.72 (define @t182 () (forall @t59 (=> @t58 @t181))) % 0.52/0.72 (define @t183 () (= @t61 @t86)) % 0.52/0.72 (define @t184 () (and @t62 @t183 @t182 @t179 @t177)) % 0.52/0.72 (define @t185 () (exists @t8 @t184)) % 0.52/0.72 (define @t186 () (tptp.sziznziztdt0 tptp.xs)) % 0.52/0.72 (define @t187 () (= @t1 @t186)) % 0.52/0.72 (define @t188 () (tptp.sdtlbdtrb0 tptp.xs @t5)) % 0.52/0.72 (define @t189 () (= @t56 @t188)) % 0.52/0.72 (define @t190 () (forall @t8 (=> @t7 @t189))) % 0.52/0.72 (define @t191 () (tptp.szszuzczcdt0 @t55)) % 0.52/0.72 (define @t192 () (and @t54 (= @t191 @t85) @t190 @t187 @t185)) % 0.52/0.72 (define @t193 () (exists @t3 @t192)) % 0.52/0.72 (define @t194 () (not (= @t85 tptp.sz00))) % 0.52/0.72 (define @t195 () (=> @t194 @t193)) % 0.52/0.72 (define @t196 () (=> @t195 @t93)) % 0.52/0.72 (define @t197 () (not @t196)) % 0.52/0.72 (define @t198 () (not @t48)) % 0.52/0.72 (define @t199 () (not @t49)) % 0.52/0.72 (define @t200 () (not @t15)) % 0.52/0.72 (define @t201 () (not @t12)) % 0.52/0.72 (define @t202 () (or @t199 @t198 @t47)) % 0.52/0.72 (define @t203 () (tptp.sdtlseqdt0 tptp.sz0z00 @t88)) % 0.52/0.72 (define @t204 () (not @t80)) % 0.52/0.72 (define @t205 () (or @t204 @t203)) % 0.52/0.72 (define @t206 () (@list false false)) % 0.52/0.72 (define @t207 () (tptp.sdtlseqdt0 tptp.sz0z00 @t89)) % 0.52/0.72 (define @t208 () (not @t81)) % 0.52/0.72 (define @t209 () (or @t208 @t207)) % 0.52/0.72 (define @t210 () (not @t66)) % 0.52/0.72 (define @t211 () (not @t62)) % 0.52/0.72 (define @t212 () (not @t54)) % 0.52/0.72 (define @t213 () (or @t212 @t211 @t210 @t70)) % 0.52/0.72 (define @t214 () (or @t212 @t211)) % 0.52/0.72 (define @t215 () (not @t68)) % 0.52/0.72 (define @t216 () (tptp.aScalar0 @t88)) % 0.52/0.72 (define @t217 () (or @t204 @t216)) % 0.52/0.72 (define @t218 () (not (= @t86 @t86))) % 0.52/0.72 (define @t219 () (or @t204 @t204 @t218 @t216)) % 0.52/0.72 (define @t220 () (forall @t11 @t213)) % 0.52/0.72 (define @t221 () (@list false)) % 0.52/0.72 (define @t222 () (@list @t220)) % 0.52/0.72 (define @t223 () (tptp.aScalar0 @t89)) % 0.52/0.72 (define @t224 () (or @t208 @t223)) % 0.52/0.72 (define @t225 () (not (= @t85 @t85))) % 0.52/0.72 (define @t226 () (or @t208 @t208 @t225 @t223)) % 0.52/0.72 (define @t227 () (@list tptp.xs tptp.xs)) % 0.52/0.72 (define @t228 () (tptp.sdtlseqdt0 tptp.sz0z00 @t90)) % 0.52/0.72 (define @t229 () (and (tptp.sdtlseqdt0 tptp.sz0z00 (tptp.sdtpldt0 @t89 @t88)) @t228)) % 0.52/0.72 (define @t230 () (not @t203)) % 0.52/0.72 (define @t231 () (not @t207)) % 0.52/0.72 (define @t232 () (not @t216)) % 0.52/0.72 (define @t233 () (not @t223)) % 0.52/0.72 (define @t234 () (or @t233 @t232 @t231 @t230 @t229)) % 0.52/0.72 (define @t235 () (@list false false false false false)) % 0.52/0.72 (define @t236 () (= tptp.sz0z00 @t19)) % 0.52/0.72 (define @t237 () (and (= @t1 @t26) (= @t1 @t25) (= tptp.sz0z00 @t24) (= tptp.sz0z00 @t23) (= tptp.sz0z00 @t22) (= tptp.sz0z00 @t21) (= @t1 @t20) @t236)) % 0.52/0.72 (define @t238 () (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00))) % 0.52/0.72 (define @t239 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 0.52/0.72 (define @t240 () (and @t239 @t239 @t238 @t238 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t19)) (= tptp.sz0z00 (tptp.sdtpldt0 @t19 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t19)) @t236)) % 0.52/0.72 (define @t241 () (not @t13)) % 0.52/0.72 (define @t242 () (or @t241 @t240)) % 0.52/0.72 (define @t243 () (= tptp.sz0z00 @t69)) % 0.52/0.72 (define @t244 () (= tptp.sz00 @t60)) % 0.52/0.72 (define @t245 () (not @t244)) % 0.52/0.72 (define @t246 () (or @t212 @t211 @t210 @t245 @t243)) % 0.52/0.72 (define @t247 () (or @t210 @t245 @t243)) % 0.52/0.72 (define @t248 () (and @t66 @t244)) % 0.52/0.72 (define @t249 () (=> @t248 @t243)) % 0.52/0.72 (define @t250 () (= tptp.sz0z00 @t89)) % 0.52/0.72 (define @t251 () (= tptp.sz00 @t85)) % 0.52/0.72 (define @t252 () (not @t251)) % 0.52/0.72 (define @t253 () (or @t208 @t252 @t250)) % 0.52/0.72 (define @t254 () (or @t208 @t208 @t225 @t252 @t250)) % 0.52/0.72 (define @t255 () (forall @t11 @t246)) % 0.52/0.72 (define @t256 () (tptp.sdtasasdt0 @t178 @t178)) % 0.52/0.72 (define @t257 () (tptp.sdtasdt0 @t174 @t174)) % 0.52/0.72 (define @t258 () (tptp.sdtasdt0 @t257 @t256)) % 0.52/0.72 (define @t259 () (tptp.sdtasdt0 @t169 @t169)) % 0.52/0.72 (define @t260 () (tptp.sdtasasdt0 @t186 @t186)) % 0.52/0.72 (define @t261 () (tptp.sdtasdt0 @t260 @t259)) % 0.52/0.72 (define @t262 () (tptp.sdtasdt0 @t174 @t169)) % 0.52/0.72 (define @t263 () (tptp.sdtasasdt0 @t186 @t178)) % 0.52/0.72 (define @t264 () (tptp.sdtasdt0 @t263 @t262)) % 0.52/0.72 (define @t265 () (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t264 @t264) (tptp.sdtpldt0 @t261 @t258)))) % 0.52/0.72 (define @t266 () (tptp.sdtpldt0 @t256 @t259)) % 0.52/0.72 (define @t267 () (tptp.sdtpldt0 @t263 @t262)) % 0.52/0.72 (define @t268 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t267 @t267) (tptp.sdtasdt0 (tptp.sdtpldt0 @t260 @t257) @t266)))) % 0.52/0.72 (define @t269 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t261 @t258)))) % 0.52/0.72 (define @t270 () (not (tptp.aScalar0 @t264))) % 0.52/0.72 (define @t271 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t263 @t263) (tptp.sdtasdt0 @t260 @t256)))) % 0.52/0.72 (define @t272 () (not (tptp.aScalar0 @t263))) % 0.52/0.72 (define @t273 () (not (tptp.aScalar0 @t261))) % 0.52/0.72 (define @t274 () (not (tptp.aScalar0 @t260))) % 0.52/0.72 (define @t275 () (tptp.sdtlbdtrb0 @t186 @t5)) % 0.52/0.72 (define @t276 () (not @t7)) % 0.52/0.72 (define @t277 () (not (forall @t8 (or @t276 (= @t188 @t275))))) % 0.52/0.72 (define @t278 () (not (= @t85 (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t186))))) % 0.52/0.72 (define @t279 () (not (tptp.aVector0 @t186))) % 0.52/0.72 (define @t280 () (not (tptp.aScalar0 @t258))) % 0.52/0.72 (define @t281 () (not (tptp.aScalar0 @t256))) % 0.52/0.72 (define @t282 () (tptp.sdtlbdtrb0 @t178 @t30)) % 0.52/0.72 (define @t283 () (not @t58)) % 0.52/0.72 (define @t284 () (not (forall @t59 (or @t283 (= @t180 @t282))))) % 0.52/0.72 (define @t285 () (tptp.szszuzczcdt0 (tptp.aDimensionOf0 @t178))) % 0.52/0.72 (define @t286 () (not (= @t86 @t285))) % 0.52/0.72 (define @t287 () (not (tptp.aVector0 @t178))) % 0.52/0.72 (define @t288 () (not (tptp.aScalar0 @t262))) % 0.52/0.72 (define @t289 () (not (tptp.aScalar0 @t257))) % 0.52/0.72 (define @t290 () (not (tptp.aScalar0 @t174))) % 0.52/0.72 (define @t291 () (not (tptp.aScalar0 @t259))) % 0.52/0.72 (define @t292 () (not (tptp.aScalar0 @t169))) % 0.52/0.72 (define @t293 () (not @t93)) % 0.52/0.72 (define @t294 () (or @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t284 @t281 @t280 @t279 @t278 @t277 @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t265)) % 0.52/0.72 (define @t295 () (or @t279 @t278 @t277 @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t265)) % 0.52/0.72 (define @t296 () (not (= @t186 @t186))) % 0.52/0.72 (define @t297 () (or @t276 (= @t275 @t188))) % 0.52/0.72 (define @t298 () (forall @t8 @t297)) % 0.52/0.72 (define @t299 () (not @t298)) % 0.52/0.72 (define @t300 () (or @t279 @t278 @t299 @t296 @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t265)) % 0.52/0.72 (define @t301 () (tptp.sdtasdt0 @t77 @t259)) % 0.52/0.72 (define @t302 () (tptp.sdtasasdt0 @t1 @t178)) % 0.52/0.72 (define @t303 () (tptp.sdtasdt0 @t302 @t262)) % 0.52/0.72 (define @t304 () (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t303 @t303) (tptp.sdtpldt0 @t301 @t258)))) % 0.52/0.72 (define @t305 () (tptp.sdtpldt0 @t77 @t257)) % 0.52/0.72 (define @t306 () (tptp.sdtpldt0 @t302 @t262)) % 0.52/0.72 (define @t307 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t306 @t306) (tptp.sdtasdt0 @t305 @t266)))) % 0.52/0.72 (define @t308 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t301 @t258)))) % 0.52/0.72 (define @t309 () (not (tptp.aScalar0 @t303))) % 0.52/0.72 (define @t310 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t302 @t302) (tptp.sdtasdt0 @t77 @t256)))) % 0.52/0.72 (define @t311 () (not (tptp.aScalar0 @t302))) % 0.52/0.72 (define @t312 () (not (tptp.aScalar0 @t301))) % 0.52/0.72 (define @t313 () (not (tptp.aScalar0 @t77))) % 0.52/0.72 (define @t314 () (not @t187)) % 0.52/0.72 (define @t315 () (forall @t8 (or @t276 @t189))) % 0.52/0.72 (define @t316 () (not @t315)) % 0.52/0.72 (define @t317 () (= @t85 @t191)) % 0.52/0.72 (define @t318 () (not @t317)) % 0.52/0.72 (define @t319 () (or @t314 @t212 @t318 @t316 @t314 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t320 () (or @t212 @t318 @t316 @t314 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t321 () (forall @t3 @t320)) % 0.52/0.72 (define @t322 () (or @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t284 @t281 @t280 @t321)) % 0.52/0.72 (define @t323 () (or @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t284 @t281 @t280 @t320)) % 0.52/0.72 (define @t324 () (or @t212 @t318 @t316 @t314 @t293 @t313 @t292 @t291 @t312 @t290 @t289 @t288 @t287 @t286 @t284 @t311 @t281 @t310 @t280 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t325 () (or @t293 @t313 @t292 @t291 @t312 @t290 @t289 @t288 @t287 @t286 @t284 @t311 @t281 @t310 @t280 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t326 () (not @t325)) % 0.52/0.72 (define @t327 () (not @t326)) % 0.52/0.72 (define @t328 () (or @t212 @t318 @t316 @t314 @t327)) % 0.52/0.72 (define @t329 () (and @t54 @t317 @t315 @t187 @t326)) % 0.52/0.72 (define @t330 () (forall @t3 (not @t329))) % 0.52/0.72 (define @t331 () (not @t330)) % 0.52/0.72 (define @t332 () (or @t287 @t286 @t284 @t311 @t281 @t310 @t280 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t333 () (not (= @t178 @t178))) % 0.52/0.72 (define @t334 () (or @t283 (= @t282 @t180))) % 0.52/0.72 (define @t335 () (forall @t59 @t334)) % 0.52/0.72 (define @t336 () (not @t335)) % 0.52/0.72 (define @t337 () (not (= @t285 @t86))) % 0.52/0.72 (define @t338 () (or @t287 @t337 @t336 @t333 @t311 @t281 @t310 @t280 @t309 @t308 @t307 @t304)) % 0.52/0.72 (define @t339 () (tptp.sdtasdt0 @t257 @t82)) % 0.52/0.72 (define @t340 () (tptp.sdtasdt0 @t69 @t262)) % 0.52/0.72 (define @t341 () (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t340 @t340) (tptp.sdtpldt0 @t301 @t339)))) % 0.52/0.72 (define @t342 () (tptp.sdtpldt0 @t82 @t259)) % 0.52/0.72 (define @t343 () (tptp.sdtpldt0 @t69 @t262)) % 0.52/0.72 (define @t344 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t343 @t343) (tptp.sdtasdt0 @t305 @t342)))) % 0.52/0.72 (define @t345 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t301 @t339)))) % 0.52/0.72 (define @t346 () (not (tptp.aScalar0 @t340))) % 0.52/0.72 (define @t347 () (not (tptp.aScalar0 @t339))) % 0.52/0.72 (define @t348 () (not @t84)) % 0.52/0.72 (define @t349 () (not (tptp.aScalar0 @t82))) % 0.52/0.72 (define @t350 () (not @t70)) % 0.52/0.72 (define @t351 () (not @t179)) % 0.52/0.72 (define @t352 () (forall @t59 (or @t283 @t181))) % 0.52/0.72 (define @t353 () (not @t352)) % 0.52/0.72 (define @t354 () (not @t183)) % 0.52/0.72 (define @t355 () (or @t351 @t211 @t354 @t353 @t351 @t350 @t349 @t348 @t347 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t356 () (or @t211 @t354 @t353 @t351 @t350 @t349 @t348 @t347 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t357 () (forall @t8 @t356)) % 0.52/0.72 (define @t358 () (or @t293 @t313 @t292 @t291 @t312 @t290 @t289 @t288 @t357)) % 0.52/0.72 (define @t359 () (or @t293 @t313 @t292 @t291 @t312 @t290 @t289 @t288 @t356)) % 0.52/0.72 (define @t360 () (or @t211 @t354 @t353 @t351 @t293 @t350 @t349 @t313 @t348 @t292 @t291 @t312 @t290 @t289 @t347 @t288 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t361 () (or @t293 @t350 @t349 @t313 @t348 @t292 @t291 @t312 @t290 @t289 @t347 @t288 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t362 () (not @t361)) % 0.52/0.72 (define @t363 () (not @t362)) % 0.52/0.72 (define @t364 () (or @t211 @t354 @t353 @t351 @t363)) % 0.52/0.72 (define @t365 () (and @t62 @t183 @t352 @t179 @t362)) % 0.52/0.72 (define @t366 () (forall @t8 (not @t365))) % 0.52/0.72 (define @t367 () (not @t366)) % 0.52/0.72 (define @t368 () (or @t290 @t289 @t347 @t288 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t369 () (not (= @t174 @t174))) % 0.52/0.72 (define @t370 () (or @t290 @t369 @t289 @t347 @t288 @t346 @t345 @t344 @t341)) % 0.52/0.72 (define @t371 () (tptp.sdtasdt0 @t148 @t82)) % 0.52/0.72 (define @t372 () (tptp.sdtasdt0 @t30 @t169)) % 0.52/0.72 (define @t373 () (tptp.sdtasdt0 @t69 @t372)) % 0.52/0.72 (define @t374 () (not (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t373 @t373) (tptp.sdtpldt0 @t301 @t371)))) % 0.52/0.72 (define @t375 () (tptp.sdtpldt0 @t77 @t148)) % 0.52/0.72 (define @t376 () (tptp.sdtpldt0 @t69 @t372)) % 0.52/0.72 (define @t377 () (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t376 @t376) (tptp.sdtasdt0 @t375 @t342)))) % 0.52/0.72 (define @t378 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t301 @t371)))) % 0.52/0.72 (define @t379 () (not (tptp.aScalar0 @t373))) % 0.52/0.72 (define @t380 () (not (tptp.aScalar0 @t372))) % 0.52/0.72 (define @t381 () (not (tptp.aScalar0 @t371))) % 0.52/0.72 (define @t382 () (not (tptp.aScalar0 @t148))) % 0.52/0.72 (define @t383 () (not @t175)) % 0.52/0.72 (define @t384 () (not @t33)) % 0.52/0.72 (define @t385 () (or @t383 @t384 @t383 @t382 @t381 @t380 @t379 @t378 @t377 @t374)) % 0.52/0.72 (define @t386 () (or @t384 @t383 @t382 @t381 @t380 @t379 @t378 @t377 @t374)) % 0.52/0.72 (define @t387 () (forall @t59 @t386)) % 0.52/0.72 (define @t388 () (or @t293 @t350 @t349 @t313 @t348 @t292 @t291 @t312 @t387)) % 0.52/0.72 (define @t389 () (or @t293 @t350 @t349 @t313 @t348 @t292 @t291 @t312 @t386)) % 0.52/0.72 (define @t390 () (or @t384 @t383 @t293 @t382 @t350 @t349 @t381 @t313 @t348 @t292 @t380 @t291 @t379 @t312 @t378 @t377 @t374)) % 0.52/0.72 (define @t391 () (or @t293 @t382 @t350 @t349 @t381 @t313 @t348 @t292 @t380 @t291 @t379 @t312 @t378 @t377 @t374)) % 0.52/0.72 (define @t392 () (not @t391)) % 0.52/0.72 (define @t393 () (not @t392)) % 0.52/0.72 (define @t394 () (or @t384 @t383 @t393)) % 0.52/0.72 (define @t395 () (and @t33 @t175 @t392)) % 0.52/0.72 (define @t396 () (forall @t59 (not @t395))) % 0.52/0.72 (define @t397 () (not @t396)) % 0.52/0.72 (define @t398 () (or @t292 @t380 @t291 @t379 @t312 @t378 @t377 @t374)) % 0.52/0.72 (define @t399 () (not (= @t169 @t169))) % 0.52/0.72 (define @t400 () (or @t292 @t399 @t380 @t291 @t379 @t312 @t378 @t377 @t374)) % 0.52/0.72 (define @t401 () (tptp.sdtasdt0 @t77 @t142)) % 0.52/0.72 (define @t402 () (tptp.sdtasdt0 @t69 @t136)) % 0.52/0.72 (define @t403 () (tptp.sdtpldt0 @t402 @t402)) % 0.52/0.72 (define @t404 () (not (tptp.sdtlseqdt0 @t403 (tptp.sdtpldt0 @t401 @t371)))) % 0.52/0.72 (define @t405 () (tptp.sdtpldt0 @t82 @t142)) % 0.52/0.72 (define @t406 () (tptp.sdtpldt0 @t69 @t136)) % 0.52/0.72 (define @t407 () (tptp.sdtasdt0 @t406 @t406)) % 0.52/0.72 (define @t408 () (not (tptp.sdtlseqdt0 @t407 (tptp.sdtasdt0 @t375 @t405)))) % 0.52/0.72 (define @t409 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t401 @t371)))) % 0.52/0.72 (define @t410 () (not (tptp.aScalar0 @t401))) % 0.52/0.72 (define @t411 () (not (tptp.aScalar0 @t402))) % 0.52/0.72 (define @t412 () (not (tptp.aScalar0 @t142))) % 0.52/0.72 (define @t413 () (not (tptp.aScalar0 @t136))) % 0.52/0.72 (define @t414 () (not @t170)) % 0.52/0.72 (define @t415 () (not @t39)) % 0.52/0.72 (define @t416 () (or @t414 @t415 @t414 @t413 @t412 @t411 @t410 @t409 @t408 @t404)) % 0.52/0.72 (define @t417 () (or @t415 @t414 @t413 @t412 @t411 @t410 @t409 @t408 @t404)) % 0.52/0.72 (define @t418 () (forall @t172 @t417)) % 0.52/0.72 (define @t419 () (or @t293 @t382 @t350 @t349 @t381 @t313 @t348 @t418)) % 0.52/0.72 (define @t420 () (or @t293 @t382 @t350 @t349 @t381 @t313 @t348 @t417)) % 0.52/0.72 (define @t421 () (or @t415 @t414 @t293 @t413 @t412 @t382 @t350 @t411 @t349 @t381 @t313 @t410 @t409 @t348 @t408 @t404)) % 0.52/0.72 (define @t422 () (or @t293 @t413 @t412 @t382 @t350 @t411 @t349 @t381 @t313 @t410 @t409 @t348 @t408 @t404)) % 0.52/0.72 (define @t423 () (not @t422)) % 0.52/0.72 (define @t424 () (not @t423)) % 0.52/0.72 (define @t425 () (or @t415 @t414 @t424)) % 0.52/0.72 (define @t426 () (and @t39 @t170 @t423)) % 0.52/0.72 (define @t427 () (forall @t172 (not @t426))) % 0.52/0.72 (define @t428 () (not @t427)) % 0.52/0.72 (define @t429 () (or @t313 @t410 @t409 @t348 @t408 @t404)) % 0.52/0.72 (define @t430 () (not (= @t77 @t77))) % 0.52/0.72 (define @t431 () (or @t313 @t430 @t410 @t409 @t348 @t408 @t404)) % 0.52/0.72 (define @t432 () (tptp.sdtasdt0 @t97 @t142)) % 0.52/0.72 (define @t433 () (not (tptp.sdtlseqdt0 @t403 (tptp.sdtpldt0 @t432 @t371)))) % 0.52/0.72 (define @t434 () (tptp.sdtpldt0 @t97 @t148)) % 0.52/0.72 (define @t435 () (not (tptp.sdtlseqdt0 @t407 (tptp.sdtasdt0 @t434 @t405)))) % 0.52/0.72 (define @t436 () (not (tptp.sdtlseqdt0 @t83 (tptp.sdtasdt0 @t97 @t82)))) % 0.52/0.72 (define @t437 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t432 @t371)))) % 0.52/0.72 (define @t438 () (not (tptp.aScalar0 @t432))) % 0.52/0.72 (define @t439 () (= @t77 @t97)) % 0.52/0.72 (define @t440 () (not @t439)) % 0.52/0.72 (define @t441 () (not @t165)) % 0.52/0.72 (define @t442 () (or @t440 @t441 @t440 @t438 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t443 () (or @t441 @t440 @t438 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t444 () (forall @t167 @t443)) % 0.52/0.72 (define @t445 () (or @t293 @t413 @t412 @t382 @t350 @t411 @t349 @t381 @t444)) % 0.52/0.72 (define @t446 () (or @t293 @t413 @t412 @t382 @t350 @t411 @t349 @t381 @t443)) % 0.52/0.72 (define @t447 () (or @t441 @t440 @t293 @t413 @t412 @t438 @t382 @t350 @t411 @t349 @t381 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t448 () (or @t293 @t413 @t412 @t438 @t382 @t350 @t411 @t349 @t381 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t449 () (not @t448)) % 0.52/0.72 (define @t450 () (not @t449)) % 0.52/0.72 (define @t451 () (or @t441 @t440 @t450)) % 0.52/0.72 (define @t452 () (and @t165 @t439 @t449)) % 0.52/0.72 (define @t453 () (forall @t167 (not @t452))) % 0.52/0.72 (define @t454 () (not @t453)) % 0.52/0.72 (define @t455 () (or @t349 @t381 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t456 () (not (= @t82 @t82))) % 0.52/0.72 (define @t457 () (or @t349 @t456 @t381 @t437 @t436 @t435 @t433)) % 0.52/0.72 (define @t458 () (tptp.sdtasdt0 @t148 @t95)) % 0.52/0.72 (define @t459 () (tptp.sdtpldt0 @t432 @t458)) % 0.52/0.72 (define @t460 () (not (tptp.sdtlseqdt0 @t403 @t459))) % 0.52/0.72 (define @t461 () (tptp.sdtpldt0 @t95 @t142)) % 0.52/0.72 (define @t462 () (tptp.sdtasdt0 @t434 @t461)) % 0.52/0.72 (define @t463 () (not (tptp.sdtlseqdt0 @t407 @t462))) % 0.52/0.72 (define @t464 () (not (tptp.sdtlseqdt0 @t83 @t109))) % 0.52/0.72 (define @t465 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t432 @t458)))) % 0.52/0.72 (define @t466 () (not (tptp.aScalar0 @t458))) % 0.52/0.72 (define @t467 () (= @t82 @t95)) % 0.52/0.72 (define @t468 () (not @t467)) % 0.52/0.72 (define @t469 () (not @t160)) % 0.52/0.72 (define @t470 () (or @t468 @t469 @t468 @t466 @t465 @t464 @t463 @t460)) % 0.52/0.72 (define @t471 () (or @t469 @t468 @t466 @t465 @t464 @t463 @t460)) % 0.52/0.72 (define @t472 () (forall @t162 @t471)) % 0.52/0.72 (define @t473 () (or @t293 @t413 @t412 @t438 @t382 @t350 @t411 @t472)) % 0.52/0.72 (define @t474 () (or @t293 @t413 @t412 @t438 @t382 @t350 @t411 @t471)) % 0.52/0.72 (define @t475 () (or @t469 @t468 @t293 @t413 @t412 @t438 @t382 @t466 @t465 @t350 @t464 @t411 @t463 @t460)) % 0.52/0.72 (define @t476 () (or @t293 @t413 @t412 @t438 @t382 @t466 @t465 @t350 @t464 @t411 @t463 @t460)) % 0.52/0.72 (define @t477 () (not @t476)) % 0.52/0.72 (define @t478 () (not @t477)) % 0.52/0.72 (define @t479 () (or @t469 @t468 @t478)) % 0.52/0.72 (define @t480 () (and @t160 @t467 @t477)) % 0.52/0.72 (define @t481 () (forall @t162 (not @t480))) % 0.52/0.72 (define @t482 () (not @t481)) % 0.52/0.72 (define @t483 () (or @t350 @t464 @t411 @t463 @t460)) % 0.52/0.72 (define @t484 () (not (= @t69 @t69))) % 0.52/0.72 (define @t485 () (or @t350 @t484 @t464 @t411 @t463 @t460)) % 0.52/0.72 (define @t486 () (tptp.sdtasdt0 @t101 @t136)) % 0.52/0.72 (define @t487 () (tptp.sdtpldt0 @t486 @t486)) % 0.52/0.72 (define @t488 () (not (tptp.sdtlseqdt0 @t487 @t459))) % 0.52/0.72 (define @t489 () (tptp.sdtpldt0 @t101 @t136)) % 0.52/0.72 (define @t490 () (tptp.sdtasdt0 @t489 @t489)) % 0.52/0.72 (define @t491 () (not (tptp.sdtlseqdt0 @t490 @t462))) % 0.52/0.72 (define @t492 () (not (tptp.aScalar0 @t486))) % 0.52/0.72 (define @t493 () (not @t110)) % 0.52/0.72 (define @t494 () (= @t69 @t101)) % 0.52/0.72 (define @t495 () (not @t494)) % 0.52/0.72 (define @t496 () (not @t155)) % 0.52/0.72 (define @t497 () (or @t495 @t496 @t495 @t493 @t492 @t491 @t488)) % 0.52/0.72 (define @t498 () (or @t496 @t495 @t493 @t492 @t491 @t488)) % 0.52/0.72 (define @t499 () (forall @t157 @t498)) % 0.52/0.72 (define @t500 () (or @t293 @t413 @t412 @t438 @t382 @t466 @t465 @t499)) % 0.52/0.72 (define @t501 () (or @t293 @t413 @t412 @t438 @t382 @t466 @t465 @t498)) % 0.52/0.72 (define @t502 () (or @t496 @t495 @t493 @t293 @t413 @t492 @t412 @t438 @t382 @t466 @t465 @t491 @t488)) % 0.52/0.72 (define @t503 () (or @t493 @t293 @t413 @t492 @t412 @t438 @t382 @t466 @t465 @t491 @t488)) % 0.52/0.72 (define @t504 () (not @t503)) % 0.52/0.72 (define @t505 () (not @t504)) % 0.52/0.72 (define @t506 () (or @t496 @t495 @t505)) % 0.52/0.72 (define @t507 () (and @t155 @t494 @t504)) % 0.52/0.72 (define @t508 () (forall @t157 (not @t507))) % 0.52/0.72 (define @t509 () (not @t508)) % 0.52/0.72 (define @t510 () (or @t382 @t466 @t465 @t491 @t488)) % 0.52/0.72 (define @t511 () (not (= @t148 @t148))) % 0.52/0.72 (define @t512 () (or @t382 @t511 @t466 @t465 @t491 @t488)) % 0.52/0.72 (define @t513 () (not (tptp.sdtlseqdt0 @t487 (tptp.sdtpldt0 @t432 @t118)))) % 0.52/0.72 (define @t514 () (not (tptp.sdtlseqdt0 @t490 (tptp.sdtasdt0 @t98 @t461)))) % 0.52/0.72 (define @t515 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t432 @t118)))) % 0.52/0.72 (define @t516 () (not (tptp.aScalar0 @t118))) % 0.52/0.72 (define @t517 () (not @t149)) % 0.52/0.72 (define @t518 () (not @t150)) % 0.52/0.72 (define @t519 () (or @t517 @t518 @t517 @t516 @t515 @t514 @t513)) % 0.52/0.72 (define @t520 () (or @t518 @t517 @t516 @t515 @t514 @t513)) % 0.52/0.72 (define @t521 () (forall @t152 @t520)) % 0.52/0.72 (define @t522 () (or @t493 @t293 @t413 @t492 @t412 @t438 @t521)) % 0.52/0.72 (define @t523 () (or @t493 @t293 @t413 @t492 @t412 @t438 @t520)) % 0.52/0.72 (define @t524 () (or @t518 @t517 @t493 @t293 @t516 @t413 @t492 @t412 @t438 @t515 @t514 @t513)) % 0.52/0.72 (define @t525 () (or @t493 @t293 @t516 @t413 @t492 @t412 @t438 @t515 @t514 @t513)) % 0.52/0.72 (define @t526 () (not @t525)) % 0.52/0.72 (define @t527 () (not @t526)) % 0.52/0.72 (define @t528 () (or @t518 @t517 @t527)) % 0.52/0.72 (define @t529 () (and @t150 @t149 @t526)) % 0.52/0.72 (define @t530 () (forall @t152 (not @t529))) % 0.52/0.72 (define @t531 () (not @t530)) % 0.52/0.72 (define @t532 () (or @t412 @t438 @t515 @t514 @t513)) % 0.52/0.72 (define @t533 () (not (= @t142 @t142))) % 0.52/0.72 (define @t534 () (or @t412 @t533 @t438 @t515 @t514 @t513)) % 0.52/0.72 (define @t535 () (tptp.sdtpldt0 @t130 @t118)) % 0.52/0.72 (define @t536 () (not (tptp.sdtlseqdt0 @t487 @t535))) % 0.52/0.72 (define @t537 () (not (tptp.sdtlseqdt0 @t490 @t99))) % 0.52/0.72 (define @t538 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t130 @t118)))) % 0.52/0.72 (define @t539 () (not (tptp.aScalar0 @t130))) % 0.52/0.72 (define @t540 () (not @t143)) % 0.52/0.72 (define @t541 () (not @t144)) % 0.52/0.72 (define @t542 () (or @t540 @t541 @t540 @t539 @t538 @t537 @t536)) % 0.52/0.72 (define @t543 () (or @t541 @t540 @t539 @t538 @t537 @t536)) % 0.52/0.72 (define @t544 () (forall @t146 @t543)) % 0.52/0.72 (define @t545 () (or @t493 @t293 @t516 @t413 @t492 @t544)) % 0.52/0.72 (define @t546 () (or @t493 @t293 @t516 @t413 @t492 @t543)) % 0.52/0.72 (define @t547 () (or @t541 @t540 @t493 @t293 @t516 @t539 @t538 @t413 @t537 @t492 @t536)) % 0.52/0.72 (define @t548 () (or @t493 @t293 @t516 @t539 @t538 @t413 @t537 @t492 @t536)) % 0.52/0.72 (define @t549 () (not @t548)) % 0.52/0.72 (define @t550 () (not @t549)) % 0.52/0.72 (define @t551 () (or @t541 @t540 @t550)) % 0.52/0.72 (define @t552 () (and @t144 @t143 @t549)) % 0.52/0.72 (define @t553 () (forall @t146 (not @t552))) % 0.52/0.72 (define @t554 () (not @t553)) % 0.52/0.72 (define @t555 () (or @t413 @t537 @t492 @t536)) % 0.52/0.72 (define @t556 () (not (= @t136 @t136))) % 0.52/0.72 (define @t557 () (or @t413 @t556 @t537 @t492 @t536)) % 0.52/0.72 (define @t558 () (tptp.sdtpldt0 @t124 @t124)) % 0.52/0.72 (define @t559 () (not (tptp.sdtlseqdt0 @t558 @t535))) % 0.52/0.72 (define @t560 () (not (tptp.aScalar0 @t124))) % 0.52/0.72 (define @t561 () (not @t103)) % 0.52/0.72 (define @t562 () (not @t137)) % 0.52/0.72 (define @t563 () (not @t138)) % 0.52/0.72 (define @t564 () (or @t562 @t563 @t562 @t561 @t560 @t559)) % 0.52/0.72 (define @t565 () (or @t563 @t562 @t561 @t560 @t559)) % 0.52/0.72 (define @t566 () (forall @t140 @t565)) % 0.52/0.72 (define @t567 () (or @t493 @t293 @t516 @t539 @t538 @t566)) % 0.52/0.72 (define @t568 () (or @t493 @t293 @t516 @t539 @t538 @t565)) % 0.52/0.72 (define @t569 () (or @t563 @t562 @t493 @t561 @t293 @t516 @t560 @t539 @t538 @t559)) % 0.52/0.72 (define @t570 () (or @t493 @t561 @t293 @t516 @t560 @t539 @t538 @t559)) % 0.52/0.72 (define @t571 () (not @t570)) % 0.52/0.72 (define @t572 () (not @t571)) % 0.52/0.72 (define @t573 () (or @t563 @t562 @t572)) % 0.52/0.72 (define @t574 () (and @t138 @t137 @t571)) % 0.52/0.72 (define @t575 () (forall @t140 (not @t574))) % 0.52/0.72 (define @t576 () (not @t575)) % 0.52/0.72 (define @t577 () (or @t539 @t538 @t559)) % 0.52/0.72 (define @t578 () (not (= @t130 @t130))) % 0.52/0.72 (define @t579 () (or @t539 @t578 @t538 @t559)) % 0.52/0.72 (define @t580 () (tptp.sdtpldt0 @t105 @t118)) % 0.52/0.72 (define @t581 () (not (tptp.sdtlseqdt0 @t558 @t580))) % 0.52/0.72 (define @t582 () (not (tptp.aScalar0 (tptp.sdtasdt0 @t105 @t118)))) % 0.52/0.72 (define @t583 () (not @t131)) % 0.52/0.72 (define @t584 () (not @t132)) % 0.52/0.72 (define @t585 () (or @t583 @t584 @t583 @t582 @t581)) % 0.52/0.72 (define @t586 () (or @t584 @t583 @t582 @t581)) % 0.52/0.72 (define @t587 () (forall @t134 @t586)) % 0.52/0.72 (define @t588 () (or @t493 @t561 @t293 @t516 @t560 @t587)) % 0.52/0.72 (define @t589 () (or @t493 @t561 @t293 @t516 @t560 @t586)) % 0.52/0.72 (define @t590 () (or @t584 @t583 @t493 @t561 @t293 @t516 @t582 @t560 @t581)) % 0.52/0.72 (define @t591 () (or @t493 @t561 @t293 @t516 @t582 @t560 @t581)) % 0.52/0.72 (define @t592 () (not @t591)) % 0.52/0.72 (define @t593 () (not @t592)) % 0.52/0.72 (define @t594 () (or @t584 @t583 @t593)) % 0.52/0.72 (define @t595 () (and @t132 @t131 @t592)) % 0.52/0.72 (define @t596 () (forall @t134 (not @t595))) % 0.52/0.72 (define @t597 () (not @t596)) % 0.52/0.72 (define @t598 () (or @t560 @t581)) % 0.52/0.72 (define @t599 () (not (= @t124 @t124))) % 0.52/0.72 (define @t600 () (or @t560 @t599 @t581)) % 0.52/0.72 (define @t601 () (not (tptp.sdtlseqdt0 @t107 @t580))) % 0.52/0.72 (define @t602 () (not @t125)) % 0.52/0.72 (define @t603 () (not @t126)) % 0.52/0.72 (define @t604 () (or @t602 @t603 @t602 @t601)) % 0.52/0.72 (define @t605 () (or @t603 @t602 @t601)) % 0.52/0.72 (define @t606 () (forall @t128 @t605)) % 0.52/0.72 (define @t607 () (or @t493 @t561 @t293 @t516 @t582 @t606)) % 0.52/0.72 (define @t608 () (or @t493 @t561 @t293 @t516 @t582 @t605)) % 0.52/0.72 (define @t609 () (or @t603 @t602 @t493 @t561 @t293 @t516 @t601 @t582)) % 0.52/0.72 (define @t610 () (or @t493 @t561 @t293 @t516 @t601 @t582)) % 0.52/0.72 (define @t611 () (not @t610)) % 0.52/0.72 (define @t612 () (not @t611)) % 0.52/0.72 (define @t613 () (or @t603 @t602 @t612)) % 0.52/0.72 (define @t614 () (and @t126 @t125 @t611)) % 0.52/0.72 (define @t615 () (forall @t128 (not @t614))) % 0.52/0.72 (define @t616 () (not @t615)) % 0.52/0.72 (define @t617 () (or @t516 @t601 @t582)) % 0.52/0.72 (define @t618 () (not (= @t118 @t118))) % 0.52/0.72 (define @t619 () (or @t516 @t618 @t601 @t582)) % 0.52/0.72 (define @t620 () (not (tptp.aScalar0 @t111))) % 0.52/0.72 (define @t621 () (not @t108)) % 0.52/0.72 (define @t622 () (not @t119)) % 0.52/0.72 (define @t623 () (not @t120)) % 0.52/0.72 (define @t624 () (or @t622 @t623 @t622 @t621 @t620)) % 0.52/0.72 (define @t625 () (or @t623 @t622 @t621 @t620)) % 0.52/0.72 (define @t626 () (forall @t122 @t625)) % 0.52/0.72 (define @t627 () (or @t493 @t561 @t293 @t626)) % 0.52/0.72 (define @t628 () (or @t493 @t561 @t293 @t625)) % 0.52/0.72 (define @t629 () (or @t623 @t622 @t493 @t621 @t561 @t293 @t620)) % 0.52/0.72 (define @t630 () (or @t493 @t621 @t561 @t293 @t620)) % 0.52/0.72 (define @t631 () (not @t630)) % 0.52/0.72 (define @t632 () (not @t631)) % 0.52/0.72 (define @t633 () (or @t623 @t622 @t632)) % 0.52/0.72 (define @t634 () (and @t120 @t119 @t631)) % 0.52/0.72 (define @t635 () (forall @t122 (not @t634))) % 0.52/0.72 (define @t636 () (not @t635)) % 0.52/0.72 (define @t637 () (not (= @t111 @t111))) % 0.52/0.72 (define @t638 () (or @t620 @t637)) % 0.52/0.72 (define @t639 () (not @t113)) % 0.52/0.72 (define @t640 () (not @t114)) % 0.52/0.72 (define @t641 () (or @t639 @t640 @t639)) % 0.52/0.72 (define @t642 () (or @t640 @t639)) % 0.52/0.72 (define @t643 () (forall @t116 @t642)) % 0.52/0.72 (define @t644 () (or @t493 @t621 @t561 @t293 @t643)) % 0.52/0.72 (define @t645 () (or @t493 @t621 @t561 @t293 @t642)) % 0.52/0.72 (define @t646 () (or @t640 @t639 @t493 @t621 @t561 @t293)) % 0.52/0.72 (define @t647 () (forall @t116 (not @t115))) % 0.52/0.72 (define @t648 () (not @t647)) % 0.52/0.72 (define @t649 () (not @t294)) % 0.52/0.72 (define @t650 () (= tptp.sz0z00 @t91)) % 0.52/0.72 (define @t651 () (= tptp.sz00 @t86)) % 0.52/0.72 (define @t652 () (not @t651)) % 0.52/0.72 (define @t653 () (not @t87)) % 0.52/0.72 (define @t654 () (or @t208 @t204 @t653 @t652 @t650)) % 0.52/0.72 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.72 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.52/0.72 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.52/0.72 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.52/0.72 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.52/0.72 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.52/0.72 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.52/0.72 (assume @p8 (forall @t3 (=> @t12 true))) % 0.52/0.72 (assume @p9 @t13) % 0.52/0.72 (assume @p10 (forall @t11 (=> @t16 (tptp.aScalar0 @t14)))) % 0.52/0.72 (assume @p11 (forall @t11 (=> @t16 (tptp.aScalar0 @t17)))) % 0.52/0.72 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t18)))) % 0.52/0.72 (assume @p13 @t29) % 0.52/0.72 (assume @p14 (forall @t35 (=> @t34 (and (= (tptp.sdtpldt0 @t14 @t30) (tptp.sdtpldt0 @t1 @t32)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t17 @t30) (tptp.sdtasdt0 @t1 @t31)) (= @t17 (tptp.sdtasdt0 @t5 @t1)))))) % 0.52/0.72 (assume @p15 (forall @t35 (=> @t34 (and (= (tptp.sdtasdt0 @t1 @t32) (tptp.sdtpldt0 @t17 @t36)) (= (tptp.sdtasdt0 @t14 @t30) (tptp.sdtpldt0 @t36 @t31)))))) % 0.52/0.72 (assume @p16 (forall @t41 (=> @t40 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t30 @t37)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t36 (tptp.sdtasdt0 @t1 @t37)) (tptp.sdtpldt0 @t31 @t38)))))) % 0.52/0.72 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t43) @t42) (= (tptp.sdtasdt0 @t18 @t5) @t42))))) % 0.52/0.72 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t18 @t43) @t17)))) % 0.52/0.72 (assume @p19 (forall @t11 (=> @t16 (=> @t44 true)))) % 0.52/0.72 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.52/0.72 (assume @p21 (forall @t11 (=> @t16 (=> (and @t44 @t45) @t9)))) % 0.52/0.72 (assume @p22 (forall @t35 (=> @t34 (=> (and @t44 (tptp.sdtlseqdt0 @t5 @t30)) (tptp.sdtlseqdt0 @t1 @t30))))) % 0.52/0.72 (assume @p23 (forall @t41 (=> @t40 (=> (and @t44 @t46) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t30) (tptp.sdtpldt0 @t5 @t37)))))) % 0.52/0.72 (assume @p24 (forall @t41 (=> @t40 (=> (and @t44 (tptp.sdtlseqdt0 tptp.sz0z00 @t30) @t46) (tptp.sdtlseqdt0 @t36 @t38))))) % 0.52/0.72 (assume @p25 (forall @t11 (=> @t16 (or @t44 @t45)))) % 0.52/0.72 (assume @p26 @t52) % 0.52/0.72 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t53)))) % 0.52/0.72 (assume @p28 (forall @t11 (=> @t16 (=> (and @t49 @t48 (= @t53 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.52/0.72 (assume @p29 (forall @t3 (=> @t54 true))) % 0.52/0.72 (assume @p30 (forall @t3 (=> @t54 (tptp.aNaturalNumber0 @t55)))) % 0.52/0.72 (assume @p31 (forall @t11 (=> (and @t54 @t7) (tptp.aScalar0 @t56)))) % 0.52/0.72 (assume @p32 (forall @t3 (=> @t54 (=> (not (= @t55 tptp.sz00)) (forall @t8 (= (= @t5 @t63) (and @t62 (= @t61 @t55) (forall @t59 (=> @t58 (= @t57 (tptp.sdtlbdtrb0 @t1 @t30))))))))))) % 0.52/0.72 (assume @p33 (forall @t11 (=> @t68 (=> @t67 (= (tptp.aDimensionOf0 @t63) (tptp.aDimensionOf0 @t64)))))) % 0.52/0.72 (assume @p34 @t72) % 0.52/0.72 (assume @p35 @t76) % 0.52/0.72 (assume @p36 (forall @t11 (=> @t68 (=> @t67 (= @t69 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t63 @t64) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t55) (tptp.sdtlbdtrb0 @t5 @t60)))))))) % 0.52/0.72 (assume @p37 @t79) % 0.52/0.72 (assume @p38 (and @t81 @t80)) % 0.52/0.72 (assume @p39 (forall @t11 (=> @t68 (=> @t66 (=> (tptp.iLess0 @t55 @t85) @t84))))) % 0.52/0.72 (assume @p40 @t87) % 0.52/0.72 (assume @p41 @t197) % 0.52/0.72 (assume @p42 true) % 0.52/0.72 (step @p43 :rule evaluate :args ((= false true))) % 0.52/0.72 (step @p44 :rule aci_norm :args ((= (or (or @t201 @t200) @t202) (or @t201 @t200 @t199 @t198 @t47)))) % 0.52/0.72 (step @p45 :rule aci_norm :args ((= (or (or @t199 @t198) @t47) @t202))) % 0.52/0.72 (step @p46 :rule refl :args (@t47)) % 0.52/0.72 (step @p47 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.52/0.72 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t50) @t47))) % 0.52/0.72 (step @p49 :rule trans :premises (@p48 @p45)) % 0.52/0.72 (step @p50 :rule bool-impl-elim :args (@t50 @t47)) % 0.52/0.72 (step @p51 :rule trans :premises (@p50 @p49)) % 0.52/0.72 (step @p52 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.52/0.72 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t16) @t51))) % 0.52/0.72 (step @p54 :rule trans :premises (@p53 @p44)) % 0.52/0.72 (step @p55 :rule bool-impl-elim :args (@t16 @t51)) % 0.52/0.72 (step @p56 :rule trans :premises (@p55 @p54)) % 0.52/0.72 (step @p57 :rule cong :premises (@p56) :args (@t52)) % 0.52/0.72 (step @p58 :rule eq_resolve :premises (@p26 @p57)) % 0.52/0.72 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t89 @t88))) % 0.52/0.72 (step @p60 :rule bool-impl-elim :args (@t54 @t78)) % 0.52/0.72 (step @p61 :rule cong :premises (@p60) :args (@t79)) % 0.52/0.72 (step @p62 :rule eq_resolve :premises (@p37 @p61)) % 0.52/0.72 (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.xt))) % 0.52/0.72 (step @p64 :rule and_elim :premises (@p38) :args (1)) % 0.52/0.72 (step @p65 :rule cnf_or_pos :args (@t205)) % 0.52/0.72 (step @p66 :rule reordering :premises (@p65) :args ((or @t204 @t203 (not @t205)))) % 0.52/0.72 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63) :args (@t203 @t206 (@list @t80 @t205))) % 0.52/0.72 (step @p68 :rule instantiate :premises (@p62) :args ((@list tptp.xs))) % 0.52/0.72 (step @p69 :rule and_elim :premises (@p38) :args (0)) % 0.52/0.72 (step @p70 :rule cnf_or_pos :args (@t209)) % 0.52/0.72 (step @p71 :rule reordering :premises (@p70) :args ((or @t208 @t207 (not @t209)))) % 0.52/0.72 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p68) :args (@t207 @t206 (@list @t81 @t209))) % 0.52/0.72 (step @p73 :rule aci_norm :args ((= (or @t214 (or @t210 @t70)) @t213))) % 0.52/0.72 (step @p74 :rule bool-impl-elim :args (@t66 @t70)) % 0.52/0.72 (step @p75 :rule bool-and-de-morgan :args (@t54 @t62 true)) % 0.52/0.72 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t215 @t71))) % 0.52/0.72 (step @p77 :rule trans :premises (@p76 @p73)) % 0.52/0.72 (step @p78 :rule bool-impl-elim :args (@t68 @t71)) % 0.52/0.72 (step @p79 :rule trans :premises (@p78 @p77)) % 0.52/0.72 (step @p80 :rule cong :premises (@p79) :args (@t72)) % 0.52/0.72 (step @p81 :rule eq_resolve :premises (@p34 @p80)) % 0.52/0.72 (step @p82 :rule aci_norm :args ((= (or @t204 @t204 false @t216) @t217))) % 0.52/0.72 (step @p83 :rule refl :args (@t216)) % 0.52/0.72 (step @p84 :rule evaluate :args ((not true))) % 0.52/0.72 (step @p85 :rule eq-refl :args (@t86)) % 0.52/0.72 (step @p86 :rule cong :premises (@p85) :args (@t218)) % 0.52/0.72 (step @p87 :rule trans :premises (@p86 @p84)) % 0.52/0.72 (step @p88 :rule refl :args (@t204)) % 0.52/0.72 (step @p89 :rule nary_cong :premises (@p88 @p88 @p87 @p83) :args (@t219)) % 0.52/0.72 (step @p90 :rule trans :premises (@p89 @p82)) % 0.52/0.72 (step @p91 :rule refl :args (@t220)) % 0.52/0.72 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t220 @t219))) % 0.52/0.72 (assume-push @p959 @t220) % 0.52/0.72 (step @p94 :rule instantiate :premises (@p81) :args ((@list tptp.xt tptp.xt))) % 0.52/0.72 (step-pop @p960 :rule scope :premises (@p94)) % 0.52/0.72 (step @p95 :rule process_scope :premises (@p960) :args (@t219)) % 0.52/0.72 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.52/0.72 (step @p98 :rule implies_elim :premises (@p97)) % 0.52/0.72 (step @p99 :rule chain_m_resolution :premises (@p98 @p81) :args (@t217 @t221 @t222)) % 0.52/0.72 (step @p100 :rule cnf_or_pos :args (@t217)) % 0.52/0.72 (step @p101 :rule reordering :premises (@p100) :args ((or @t204 @t216 (not @t217)))) % 0.52/0.72 (step @p102 :rule chain_m_resolution :premises (@p101 @p64 @p99) :args (@t216 @t206 (@list @t80 @t217))) % 0.52/0.72 (step @p103 :rule aci_norm :args ((= (or @t208 @t208 false @t223) @t224))) % 0.52/0.72 (step @p104 :rule refl :args (@t223)) % 0.52/0.72 (step @p105 :rule eq-refl :args (@t85)) % 0.52/0.72 (step @p106 :rule cong :premises (@p105) :args (@t225)) % 0.52/0.72 (step @p107 :rule trans :premises (@p106 @p84)) % 0.52/0.72 (step @p108 :rule refl :args (@t208)) % 0.52/0.72 (step @p109 :rule nary_cong :premises (@p108 @p108 @p107 @p104) :args (@t226)) % 0.52/0.72 (step @p110 :rule trans :premises (@p109 @p103)) % 0.52/0.72 (step @p111 :rule cong :premises (@p91 @p110) :args ((=> @t220 @t226))) % 0.52/0.72 (assume-push @p961 @t220) % 0.52/0.72 (step @p113 :rule instantiate :premises (@p81) :args (@t227)) % 0.52/0.72 (step-pop @p962 :rule scope :premises (@p113)) % 0.52/0.72 (step @p114 :rule process_scope :premises (@p962) :args (@t226)) % 0.52/0.72 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.52/0.72 (step @p117 :rule implies_elim :premises (@p116)) % 0.52/0.72 (step @p118 :rule chain_m_resolution :premises (@p117 @p81) :args (@t224 @t221 @t222)) % 0.52/0.72 (step @p119 :rule cnf_or_pos :args (@t224)) % 0.52/0.72 (step @p120 :rule reordering :premises (@p119) :args ((or @t208 @t223 (not @t224)))) % 0.52/0.72 (step @p121 :rule chain_m_resolution :premises (@p120 @p69 @p118) :args (@t223 @t206 (@list @t81 @t224))) % 0.52/0.72 (step @p122 :rule cnf_or_pos :args (@t234)) % 0.52/0.72 (step @p123 :rule reordering :premises (@p122) :args ((or @t233 @t232 @t231 @t230 @t229 (not @t234)))) % 0.52/0.72 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p102 @p72 @p67 @p59) :args (@t229 @t235 (@list @t223 @t216 @t207 @t203 @t234))) % 0.52/0.72 (step @p125 :rule cnf_and_pos :args (@t229 1)) % 0.52/0.72 (step @p126 :rule reordering :premises (@p125) :args ((or @t228 (not @t229)))) % 0.52/0.72 (step @p127 :rule chain_m_resolution :premises (@p126 @p124) :args (@t228 @t221 (@list @t229))) % 0.52/0.72 (step @p128 :rule true_intro :premises (@p127)) % 0.52/0.72 (step @p129 :rule refl :args (@t90)) % 0.52/0.72 (step @p130 :rule bool-impl-elim :args (@t12 @t237)) % 0.52/0.72 (step @p131 :rule cong :premises (@p130) :args ((forall @t3 (=> @t12 @t237)))) % 0.52/0.72 (step @p132 :rule eq-symm :args (@t19 tptp.sz0z00)) % 0.52/0.72 (step @p133 :rule eq-symm :args (@t20 @t1)) % 0.52/0.72 (step @p134 :rule eq-symm :args (@t21 tptp.sz0z00)) % 0.52/0.72 (step @p135 :rule eq-symm :args (@t22 tptp.sz0z00)) % 0.52/0.72 (step @p136 :rule eq-symm :args (@t23 tptp.sz0z00)) % 0.52/0.72 (step @p137 :rule eq-symm :args (@t24 tptp.sz0z00)) % 0.52/0.72 (step @p138 :rule eq-symm :args (@t25 @t1)) % 0.52/0.72 (step @p139 :rule eq-symm :args (@t26 @t1)) % 0.52/0.72 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132) :args (@t27)) % 0.52/0.72 (step @p141 :rule refl :args (@t12)) % 0.52/0.72 (step @p142 :rule cong :premises (@p141 @p140) :args (@t28)) % 0.52/0.72 (step @p143 :rule cong :premises (@p142) :args (@t29)) % 0.52/0.72 (step @p144 :rule trans :premises (@p143 @p131)) % 0.52/0.72 (step @p145 :rule eq_resolve :premises (@p13 @p144)) % 0.52/0.72 (step @p146 :rule instantiate :premises (@p145) :args ((@list tptp.sz0z00))) % 0.52/0.72 (step @p147 :rule cnf_or_pos :args (@t242)) % 0.52/0.72 (step @p148 :rule reordering :premises (@p147) :args ((or @t241 @t240 (not @t242)))) % 0.52/0.72 (step @p149 :rule chain_m_resolution :premises (@p148 @p9 @p146) :args (@t240 @t206 (@list @t13 @t242))) % 0.52/0.72 (step @p150 :rule cnf_and_pos :args (@t240 2)) % 0.52/0.72 (step @p151 :rule reordering :premises (@p150) :args ((or @t238 (not @t240)))) % 0.52/0.72 (step @p152 :rule chain_m_resolution :premises (@p151 @p149) :args (@t238 @t221 (@list @t240))) % 0.52/0.72 (step @p153 :rule symm :premises (@p152)) % 0.52/0.72 (step @p154 :rule aci_norm :args ((= (or @t214 @t247) @t246))) % 0.52/0.72 (step @p155 :rule aci_norm :args ((= (or (or @t210 @t245) @t243) @t247))) % 0.52/0.72 (step @p156 :rule refl :args (@t243)) % 0.52/0.72 (step @p157 :rule bool-and-de-morgan :args (@t66 @t244 true)) % 0.52/0.72 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t248) @t243))) % 0.52/0.72 (step @p159 :rule trans :premises (@p158 @p155)) % 0.52/0.72 (step @p160 :rule bool-impl-elim :args (@t248 @t243)) % 0.52/0.72 (step @p161 :rule trans :premises (@p160 @p159)) % 0.52/0.72 (step @p162 :rule nary_cong :premises (@p75 @p161) :args ((or @t215 @t249))) % 0.52/0.72 (step @p163 :rule trans :premises (@p162 @p154)) % 0.52/0.72 (step @p164 :rule bool-impl-elim :args (@t68 @t249)) % 0.52/0.72 (step @p165 :rule trans :premises (@p164 @p163)) % 0.52/0.72 (step @p166 :rule cong :premises (@p165) :args ((forall @t11 (=> @t68 @t249)))) % 0.52/0.72 (step @p167 :rule eq-symm :args (@t69 tptp.sz0z00)) % 0.52/0.72 (step @p168 :rule eq-symm :args (@t60 tptp.sz00)) % 0.52/0.72 (step @p169 :rule refl :args (@t66)) % 0.52/0.72 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t73)) % 0.52/0.72 (step @p171 :rule cong :premises (@p170 @p167) :args (@t74)) % 0.52/0.72 (step @p172 :rule refl :args (@t68)) % 0.52/0.72 (step @p173 :rule cong :premises (@p172 @p171) :args (@t75)) % 0.52/0.72 (step @p174 :rule cong :premises (@p173) :args (@t76)) % 0.52/0.72 (step @p175 :rule trans :premises (@p174 @p166)) % 0.52/0.72 (step @p176 :rule eq_resolve :premises (@p35 @p175)) % 0.52/0.72 (step @p177 :rule aci_norm :args ((= (or @t208 @t208 false @t252 @t250) @t253))) % 0.52/0.72 (step @p178 :rule refl :args (@t250)) % 0.52/0.72 (step @p179 :rule refl :args (@t252)) % 0.52/0.72 (step @p180 :rule nary_cong :premises (@p108 @p108 @p107 @p179 @p178) :args (@t254)) % 0.52/0.72 (step @p181 :rule trans :premises (@p180 @p177)) % 0.52/0.72 (step @p182 :rule refl :args (@t255)) % 0.52/0.72 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t255 @t254))) % 0.52/0.72 (assume-push @p963 @t255) % 0.52/0.72 (step @p185 :rule instantiate :premises (@p176) :args (@t227)) % 0.52/0.72 (step-pop @p964 :rule scope :premises (@p185)) % 0.52/0.72 (step @p186 :rule process_scope :premises (@p964) :args (@t254)) % 0.52/0.72 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 0.52/0.72 (step @p189 :rule implies_elim :premises (@p188)) % 0.52/0.72 (step @p190 :rule chain_m_resolution :premises (@p189 @p176) :args (@t253 @t221 (@list @t255))) % 0.52/0.72 (step @p191 :rule refl :args (@t93)) % 0.52/0.72 (step @p192 :rule aci_norm :args ((= (or @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t284 @t281 @t280 @t295) @t294))) % 0.52/0.72 (step @p193 :rule aci_norm :args ((= (or @t279 @t278 @t277 false @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t265) @t295))) % 0.52/0.72 (step @p194 :rule refl :args (@t265)) % 0.52/0.72 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@p898 :rule refl :args (@t175)) % 0.52/0.73 (step @p899 :rule refl :args (@t33)) % 0.52/0.73 (step @p900 :rule nary_cong :premises (@p899 @p898 @p897) :args (@t176)) % 0.52/0.73 (step @p901 :rule cong :premises (@p900) :args (@t177)) % 0.52/0.73 (step @p902 :rule trans :premises (@p901 @p367)) % 0.52/0.73 (step @p903 :rule refl :args (@t179)) % 0.52/0.73 (step @p904 :rule bool-impl-elim :args (@t58 @t181)) % 0.52/0.73 (step @p905 :rule cong :premises (@p904) :args (@t182)) % 0.52/0.73 (step @p906 :rule refl :args (@t183)) % 0.52/0.73 (step @p907 :rule refl :args (@t62)) % 0.52/0.73 (step @p908 :rule nary_cong :premises (@p907 @p906 @p905 @p903 @p902) :args (@t184)) % 0.52/0.73 (step @p909 :rule cong :premises (@p908) :args (@t185)) % 0.52/0.73 (step @p910 :rule trans :premises (@p909 @p322)) % 0.52/0.73 (step @p911 :rule refl :args (@t187)) % 0.52/0.73 (step @p912 :rule bool-impl-elim :args (@t7 @t189)) % 0.52/0.73 (step @p913 :rule cong :premises (@p912) :args (@t190)) % 0.52/0.73 (step @p914 :rule eq-symm :args (@t191 @t85)) % 0.52/0.73 (step @p915 :rule refl :args (@t54)) % 0.52/0.73 (step @p916 :rule nary_cong :premises (@p915 @p914 @p913 @p911 @p910) :args (@t192)) % 0.52/0.73 (step @p917 :rule cong :premises (@p916) :args (@t193)) % 0.52/0.73 (step @p918 :rule trans :premises (@p917 @p262)) % 0.52/0.73 (step @p919 :rule eq-symm :args (@t85 tptp.sz00)) % 0.52/0.73 (step @p920 :rule cong :premises (@p919) :args (@t194)) % 0.52/0.73 (step @p921 :rule cong :premises (@p920 @p918) :args (@t195)) % 0.52/0.73 (step @p922 :rule cong :premises (@p921 @p191) :args (@t196)) % 0.52/0.73 (step @p923 :rule cong :premises (@p922) :args (@t197)) % 0.52/0.73 (step @p924 :rule eq_resolve :premises (@p41 @p923)) % 0.52/0.73 (step @p925 :rule not_implies_elim2 :premises (@p924)) % 0.52/0.73 (step @p926 :rule bool-double-not-elim :args (@t93)) % 0.52/0.73 (step @p927 :rule refl :args (@t294)) % 0.52/0.73 (step @p928 :rule nary_cong :premises (@p927 @p926) :args ((or @t294 (not @t293)))) % 0.52/0.73 (step @p929 :rule cnf_or_neg :args (@t294 0)) % 0.52/0.73 (step @p930 :rule eq_resolve :premises (@p929 @p928)) % 0.52/0.73 (step @p931 :rule reordering :premises (@p930) :args ((or @t93 @t294))) % 0.52/0.73 (step @p932 :rule chain_m_resolution :premises (@p931 @p925) :args (@t294 (@list true) (@list @t93))) % 0.52/0.73 (step @p933 :rule refl :args (@t649)) % 0.52/0.73 (step @p934 :rule bool-double-not-elim :args (@t251)) % 0.52/0.73 (step @p935 :rule nary_cong :premises (@p934 @p933) :args ((or (not @t252) @t649))) % 0.52/0.73 (step @p936 :rule not_implies_elim1 :premises (@p924)) % 0.52/0.73 (step @p937 :rule implies_elim :premises (@p936)) % 0.52/0.73 (step @p938 :rule eq_resolve :premises (@p937 @p935)) % 0.52/0.73 (step @p939 :rule chain_m_resolution :premises (@p938 @p932) :args (@t251 @t221 (@list @t294))) % 0.52/0.73 (step @p940 :rule cnf_or_pos :args (@t253)) % 0.52/0.73 (step @p941 :rule reordering :premises (@p940) :args ((or @t252 @t208 @t250 (not @t253)))) % 0.52/0.73 (step @p942 :rule chain_m_resolution :premises (@p941 @p939 @p69 @p190) :args (@t250 (@list false false false) (@list @t251 @t81 @t253))) % 0.52/0.73 (step @p943 :rule symm :premises (@p942)) % 0.52/0.73 (step @p944 :rule cong :premises (@p943 @p943) :args ((tptp.sdtasdt0 @t89 @t89))) % 0.52/0.73 (step @p945 :rule instantiate :premises (@p176) :args ((@list tptp.xs tptp.xt))) % 0.52/0.73 (step @p946 :rule trans :premises (@p939 @p40)) % 0.52/0.73 (step @p947 :rule cnf_or_pos :args (@t654)) % 0.52/0.73 (step @p948 :rule reordering :premises (@p947) :args ((or @t208 @t204 @t653 @t652 @t650 (not @t654)))) % 0.52/0.73 (step @p949 :rule chain_m_resolution :premises (@p948 @p69 @p64 @p40 @p946 @p945) :args (@t650 @t235 (@list @t81 @t80 @t87 @t651 @t654))) % 0.52/0.73 (step @p950 :rule symm :premises (@p949)) % 0.52/0.73 (step @p951 :rule trans :premises (@p950 @p942)) % 0.52/0.73 (step @p952 :rule cong :premises (@p951 @p951) :args (@t92)) % 0.52/0.73 (step @p953 :rule trans :premises (@p952 @p944 @p153)) % 0.52/0.73 (step @p954 :rule cong :premises (@p953 @p129) :args (@t93)) % 0.52/0.73 (step @p955 :rule false_intro :premises (@p925)) % 0.52/0.73 (step @p956 :rule symm :premises (@p955)) % 0.52/0.73 (step @p957 :rule trans :premises (@p956 @p954 @p128)) % 0.52/0.73 (step @p958 false :rule eq_resolve :premises (@p957 @p43)) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------