%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG065+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 : n005.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 08:45:33 AM UTC 2026 % Result : Theorem 46.83s 47.10s % Output : Proof 46.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG065+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:04:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 46.83/47.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 46.83/47.10 --- Run --no-e-matching --full-saturate-quant at 6... % 46.83/47.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 46.83/47.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 46.83/47.10 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 46.83/47.10 % SZS status Theorem % 46.83/47.10 % SZS output start Proof % 46.83/47.10 ( % 46.83/47.10 (declare-sort $$unsorted 0) % 46.83/47.10 (declare-const tptp.xN $$unsorted) % 46.83/47.10 (declare-const tptp.xS $$unsorted) % 46.83/47.10 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 46.83/47.10 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.sz00 $$unsorted) % 46.83/47.10 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 46.83/47.10 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xp $$unsorted) % 46.83/47.10 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xG $$unsorted) % 46.83/47.10 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xF $$unsorted) % 46.83/47.10 (declare-const tptp.sz0z00 $$unsorted) % 46.83/47.10 (declare-const tptp.xC $$unsorted) % 46.83/47.10 (declare-const tptp.xR $$unsorted) % 46.83/47.10 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 46.83/47.10 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xs $$unsorted) % 46.83/47.10 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xq $$unsorted) % 46.83/47.10 (declare-const tptp.xP $$unsorted) % 46.83/47.10 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 46.83/47.10 (declare-const tptp.xA $$unsorted) % 46.83/47.10 (declare-const tptp.xB $$unsorted) % 46.83/47.10 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 46.83/47.10 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 46.83/47.10 (declare-const tptp.xt $$unsorted) % 46.83/47.10 (declare-const tptp.xD $$unsorted) % 46.83/47.10 (declare-const tptp.xE $$unsorted) % 46.83/47.10 (declare-const tptp.xH $$unsorted) % 46.83/47.10 (define @t1 () (@var "W0" $$unsorted)) % 46.83/47.10 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 46.83/47.10 (define @t3 () (@list @t1)) % 46.83/47.10 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 46.83/47.10 (define @t5 () (@var "W1" $$unsorted)) % 46.83/47.10 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 46.83/47.10 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 46.83/47.10 (define @t8 () (@list @t5)) % 46.83/47.10 (define @t9 () (= @t1 @t5)) % 46.83/47.10 (define @t10 () (and @t2 @t7)) % 46.83/47.10 (define @t11 () (@list @t1 @t5)) % 46.83/47.10 (define @t12 () (tptp.aScalar0 @t1)) % 46.83/47.10 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 46.83/47.10 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 46.83/47.10 (define @t15 () (tptp.aScalar0 @t14)) % 46.83/47.10 (define @t16 () (tptp.aScalar0 @t5)) % 46.83/47.10 (define @t17 () (and @t12 @t16)) % 46.83/47.10 (define @t18 () (forall @t11 (=> @t17 @t15))) % 46.83/47.10 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 46.83/47.10 (define @t20 () (tptp.aScalar0 @t19)) % 46.83/47.10 (define @t21 () (forall @t11 (=> @t17 @t20))) % 46.83/47.10 (define @t22 () (tptp.smndt0 @t1)) % 46.83/47.10 (define @t23 () (tptp.aScalar0 @t22)) % 46.83/47.10 (define @t24 () (forall @t3 (=> @t12 @t23))) % 46.83/47.10 (define @t25 () (tptp.smndt0 tptp.sz0z00)) % 46.83/47.10 (define @t26 () (tptp.smndt0 @t22)) % 46.83/47.10 (define @t27 () (tptp.sdtpldt0 @t22 @t1)) % 46.83/47.10 (define @t28 () (tptp.sdtpldt0 @t1 @t22)) % 46.83/47.10 (define @t29 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 46.83/47.10 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 46.83/47.10 (define @t31 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 46.83/47.10 (define @t32 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 46.83/47.10 (define @t33 () (and (= @t32 @t1) (= @t31 @t1) (= @t30 tptp.sz0z00) (= @t29 tptp.sz0z00) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 @t1) (= @t25 tptp.sz0z00))) % 46.83/47.10 (define @t34 () (=> @t12 @t33)) % 46.83/47.10 (define @t35 () (forall @t3 @t34)) % 46.83/47.10 (define @t36 () (@var "W2" $$unsorted)) % 46.83/47.10 (define @t37 () (tptp.sdtasdt0 @t5 @t36)) % 46.83/47.10 (define @t38 () (tptp.sdtpldt0 @t5 @t36)) % 46.83/47.10 (define @t39 () (and (= (tptp.sdtpldt0 @t14 @t36) (tptp.sdtpldt0 @t1 @t38)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t36) (tptp.sdtasdt0 @t1 @t37)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))) % 46.83/47.10 (define @t40 () (tptp.aScalar0 @t36)) % 46.83/47.10 (define @t41 () (and @t12 @t16 @t40)) % 46.83/47.10 (define @t42 () (@list @t1 @t5 @t36)) % 46.83/47.10 (define @t43 () (forall @t42 (=> @t41 @t39))) % 46.83/47.10 (define @t44 () (tptp.sdtasdt0 @t1 @t36)) % 46.83/47.10 (define @t45 () (@var "W3" $$unsorted)) % 46.83/47.10 (define @t46 () (tptp.sdtasdt0 @t5 @t45)) % 46.83/47.10 (define @t47 () (tptp.aScalar0 @t45)) % 46.83/47.10 (define @t48 () (and @t12 @t16 @t40 @t47)) % 46.83/47.10 (define @t49 () (@list @t1 @t5 @t36 @t45)) % 46.83/47.10 (define @t50 () (tptp.smndt0 @t19)) % 46.83/47.10 (define @t51 () (tptp.smndt0 @t5)) % 46.83/47.10 (define @t52 () (tptp.sdtlseqdt0 @t1 @t5)) % 46.83/47.10 (define @t53 () (tptp.sdtlseqdt0 @t5 @t1)) % 46.83/47.10 (define @t54 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t36) (tptp.sdtpldt0 @t5 @t45))) % 46.83/47.10 (define @t55 () (tptp.sdtlseqdt0 @t36 @t45)) % 46.83/47.10 (define @t56 () (and @t52 @t55)) % 46.83/47.10 (define @t57 () (=> @t56 @t54)) % 46.83/47.10 (define @t58 () (forall @t49 (=> @t48 @t57))) % 46.83/47.10 (define @t59 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 46.83/47.10 (define @t60 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 46.83/47.10 (define @t61 () (tptp.sdtasdt0 @t1 @t1)) % 46.83/47.10 (define @t62 () (tptp.aVector0 @t1)) % 46.83/47.10 (define @t63 () (tptp.aDimensionOf0 @t1)) % 46.83/47.10 (define @t64 () (tptp.aDimensionOf0 @t5)) % 46.83/47.10 (define @t65 () (tptp.aVector0 @t5)) % 46.83/47.10 (define @t66 () (tptp.sziznziztdt0 @t1)) % 46.83/47.10 (define @t67 () (tptp.sziznziztdt0 @t5)) % 46.83/47.10 (define @t68 () (= @t64 tptp.sz00)) % 46.83/47.10 (define @t69 () (= @t63 @t64)) % 46.83/47.10 (define @t70 () (and @t69 (not @t68))) % 46.83/47.10 (define @t71 () (and @t62 @t65)) % 46.83/47.10 (define @t72 () (tptp.sdtasasdt0 @t1 @t5)) % 46.83/47.10 (define @t73 () (tptp.sdtasasdt0 @t1 @t1)) % 46.83/47.10 (define @t74 () (tptp.aDimensionOf0 tptp.xs)) % 46.83/47.11 (define @t75 () (tptp.aDimensionOf0 tptp.xt)) % 46.83/47.11 (define @t76 () (tptp.sziznziztdt0 tptp.xs)) % 46.83/47.11 (define @t77 () (tptp.sziznziztdt0 tptp.xt)) % 46.83/47.11 (define @t78 () (tptp.sdtlbdtrb0 tptp.xs @t74)) % 46.83/47.11 (define @t79 () (tptp.sdtlbdtrb0 tptp.xt @t75)) % 46.83/47.11 (define @t80 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 46.83/47.11 (define @t81 () (= tptp.xC @t80)) % 46.83/47.11 (define @t82 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 46.83/47.11 (define @t83 () (= tptp.xD @t82)) % 46.83/47.11 (define @t84 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 46.83/47.11 (define @t85 () (= tptp.xE @t84)) % 46.83/47.11 (define @t86 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 46.83/47.11 (define @t87 () (= tptp.xF @t86)) % 46.83/47.11 (define @t88 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 46.83/47.11 (define @t89 () (= tptp.xG @t88)) % 46.83/47.11 (define @t90 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 46.83/47.11 (define @t91 () (= tptp.xH @t90)) % 46.83/47.11 (define @t92 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 46.83/47.11 (define @t93 () (= tptp.xR @t92)) % 46.83/47.11 (define @t94 () (tptp.aScalar0 tptp.xR)) % 46.83/47.11 (define @t95 () (tptp.sdtasdt0 tptp.xE tptp.xH)) % 46.83/47.11 (define @t96 () (= tptp.xP @t95)) % 46.83/47.11 (define @t97 () (tptp.aScalar0 tptp.xP)) % 46.83/47.11 (define @t98 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 46.83/47.11 (define @t99 () (= tptp.xS @t98)) % 46.83/47.11 (define @t100 () (tptp.aScalar0 tptp.xS)) % 46.83/47.11 (define @t101 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 46.83/47.11 (define @t102 () (= tptp.xN @t101)) % 46.83/47.11 (define @t103 () (tptp.aScalar0 tptp.xN)) % 46.83/47.11 (define @t104 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 46.83/47.11 (define @t105 () (tptp.sdtlseqdt0 @t104 tptp.xN)) % 46.83/47.11 (define @t106 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 46.83/47.11 (define @t107 () (tptp.smndt0 tptp.xS)) % 46.83/47.11 (define @t108 () (tptp.smndt0 tptp.xN)) % 46.83/47.11 (define @t109 () (tptp.sdtasdt0 tptp.xR @t107)) % 46.83/47.11 (define @t110 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 46.83/47.11 (define @t111 () (tptp.sdtpldt0 @t110 @t108)) % 46.83/47.11 (define @t112 () (tptp.sdtpldt0 tptp.xR @t107)) % 46.83/47.11 (define @t113 () (tptp.sdtasdt0 @t112 @t112)) % 46.83/47.11 (define @t114 () (tptp.sdtpldt0 @t106 @t108)) % 46.83/47.11 (define @t115 () (tptp.sdtpldt0 @t111 @t114)) % 46.83/47.11 (define @t116 () (= @t113 @t115)) % 46.83/47.11 (define @t117 () (tptp.sdtpldt0 @t110 @t106)) % 46.83/47.11 (define @t118 () (tptp.sdtpldt0 @t117 @t108)) % 46.83/47.11 (define @t119 () (tptp.sdtpldt0 @t118 @t108)) % 46.83/47.11 (define @t120 () (= @t113 @t119)) % 46.83/47.11 (define @t121 () (tptp.sdtpldt0 @t113 tptp.xN)) % 46.83/47.11 (define @t122 () (tptp.sdtpldt0 @t121 tptp.xN)) % 46.83/47.11 (define @t123 () (tptp.sdtlseqdt0 tptp.sz0z00 @t113)) % 46.83/47.11 (define @t124 () (tptp.sdtpldt0 @t104 @t104)) % 46.83/47.11 (define @t125 () (tptp.sdtlseqdt0 @t124 @t117)) % 46.83/47.11 (define @t126 () (not @t125)) % 46.83/47.11 (define @t127 () (not @t55)) % 46.83/47.11 (define @t128 () (not @t52)) % 46.83/47.11 (define @t129 () (not @t47)) % 46.83/47.11 (define @t130 () (not @t40)) % 46.83/47.11 (define @t131 () (not @t16)) % 46.83/47.11 (define @t132 () (not @t12)) % 46.83/47.11 (define @t133 () (or @t128 @t127 @t54)) % 46.83/47.11 (define @t134 () (or @t132 @t131 @t130 @t129)) % 46.83/47.11 (define @t135 () (tptp.sdtasdt0 (tptp.sdtasdt0 @t78 @t78) (tptp.sdtasasdt0 @t77 @t77))) % 46.83/47.11 (define @t136 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t76 @t76) (tptp.sdtasdt0 @t79 @t79))) % 46.83/47.11 (define @t137 () (tptp.sdtasdt0 @t136 @t135)) % 46.83/47.11 (define @t138 () (tptp.smndt0 @t137)) % 46.83/47.11 (define @t139 () (tptp.sdtasdt0 @t135 @t135)) % 46.83/47.11 (define @t140 () (tptp.sdtasdt0 @t136 @t136)) % 46.83/47.11 (define @t141 () (tptp.sdtpldt0 @t140 @t139)) % 46.83/47.11 (define @t142 () (tptp.sdtpldt0 @t141 @t138)) % 46.83/47.11 (define @t143 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t76 @t77) (tptp.sdtasdt0 @t78 @t79))) % 46.83/47.11 (define @t144 () (tptp.sdtasdt0 @t143 @t143)) % 46.83/47.11 (define @t145 () (tptp.sdtpldt0 @t142 @t138)) % 46.83/47.11 (define @t146 () (tptp.sdtlseqdt0 tptp.sz0z00 @t145)) % 46.83/47.11 (define @t147 () (or @t132 @t131)) % 46.83/47.11 (define @t148 () (not @t17)) % 46.83/47.11 (define @t149 () (tptp.aScalar0 @t140)) % 46.83/47.11 (define @t150 () (tptp.aScalar0 @t136)) % 46.83/47.11 (define @t151 () (not @t150)) % 46.83/47.11 (define @t152 () (or @t151 @t151 @t149)) % 46.83/47.11 (define @t153 () (@list false false)) % 46.83/47.11 (define @t154 () (tptp.aScalar0 @t139)) % 46.83/47.11 (define @t155 () (tptp.aScalar0 @t135)) % 46.83/47.11 (define @t156 () (not @t155)) % 46.83/47.11 (define @t157 () (or @t156 @t156 @t154)) % 46.83/47.11 (define @t158 () (tptp.aScalar0 @t141)) % 46.83/47.11 (define @t159 () (not @t154)) % 46.83/47.11 (define @t160 () (not @t149)) % 46.83/47.11 (define @t161 () (or @t160 @t159 @t158)) % 46.83/47.11 (define @t162 () (@list false false false)) % 46.83/47.11 (define @t163 () (@list @t137)) % 46.83/47.11 (define @t164 () (tptp.aScalar0 @t138)) % 46.83/47.11 (define @t165 () (tptp.aScalar0 @t137)) % 46.83/47.11 (define @t166 () (not @t165)) % 46.83/47.11 (define @t167 () (or @t166 @t164)) % 46.83/47.11 (define @t168 () (tptp.aScalar0 @t142)) % 46.83/47.11 (define @t169 () (not @t164)) % 46.83/47.11 (define @t170 () (not @t158)) % 46.83/47.11 (define @t171 () (or @t170 @t169 @t168)) % 46.83/47.11 (define @t172 () (tptp.aScalar0 @t145)) % 46.83/47.11 (define @t173 () (not @t168)) % 46.83/47.11 (define @t174 () (or @t173 @t169 @t172)) % 46.83/47.11 (define @t175 () (tptp.aScalar0 @t144)) % 46.83/47.11 (define @t176 () (tptp.aScalar0 @t143)) % 46.83/47.11 (define @t177 () (not @t176)) % 46.83/47.11 (define @t178 () (or @t177 @t177 @t175)) % 46.83/47.11 (define @t179 () (tptp.sdtpldt0 @t144 tptp.sz0z00)) % 46.83/47.11 (define @t180 () (tptp.sdtlseqdt0 @t179 (tptp.sdtpldt0 @t137 @t145))) % 46.83/47.11 (define @t181 () (not @t146)) % 46.83/47.11 (define @t182 () (tptp.sdtlseqdt0 @t144 @t137)) % 46.83/47.11 (define @t183 () (not @t182)) % 46.83/47.11 (define @t184 () (not @t172)) % 46.83/47.11 (define @t185 () (not @t13)) % 46.83/47.11 (define @t186 () (not @t175)) % 46.83/47.11 (define @t187 () (or @t186 @t166 @t185 @t184 @t183 @t181 @t180)) % 46.83/47.11 (define @t188 () (tptp.smndt0 @t135)) % 46.83/47.11 (define @t189 () (tptp.sdtpldt0 @t136 @t188)) % 46.83/47.11 (define @t190 () (tptp.sdtasdt0 @t189 @t189)) % 46.83/47.11 (define @t191 () (tptp.sdtpldt0 @t137 @t190)) % 46.83/47.11 (define @t192 () (or @t132 @t131 @t130 @t39)) % 46.83/47.11 (define @t193 () (or @t132 @t131 @t130)) % 46.83/47.11 (define @t194 () (@list @t136 @t188)) % 46.83/47.11 (define @t195 () (tptp.aScalar0 @t188)) % 46.83/47.11 (define @t196 () (or @t156 @t195)) % 46.83/47.11 (define @t197 () (tptp.aScalar0 @t189)) % 46.83/47.11 (define @t198 () (not @t195)) % 46.83/47.11 (define @t199 () (or @t151 @t198 @t197)) % 46.83/47.11 (define @t200 () (tptp.aScalar0 @t190)) % 46.83/47.11 (define @t201 () (not @t197)) % 46.83/47.11 (define @t202 () (or @t201 @t201 @t200)) % 46.83/47.11 (define @t203 () (tptp.sdtasdt0 @t137 @t190)) % 46.83/47.11 (define @t204 () (tptp.sdtasdt0 @t190 @t137)) % 46.83/47.11 (define @t205 () (= @t204 @t203)) % 46.83/47.11 (define @t206 () (tptp.sdtpldt0 @t190 @t137)) % 46.83/47.11 (define @t207 () (= @t206 @t191)) % 46.83/47.11 (define @t208 () (tptp.sdtpldt0 @t206 @t137)) % 46.83/47.11 (define @t209 () (and (= @t208 (tptp.sdtpldt0 @t190 (tptp.sdtpldt0 @t137 @t137))) @t207 (= (tptp.sdtasdt0 @t204 @t137) (tptp.sdtasdt0 @t190 (tptp.sdtasdt0 @t137 @t137))) @t205)) % 46.83/47.11 (define @t210 () (not @t200)) % 46.83/47.11 (define @t211 () (or @t210 @t166 @t166 @t209)) % 46.83/47.11 (define @t212 () (@list false)) % 46.83/47.11 (define @t213 () (tptp.sdtpldt0 @t140 @t138)) % 46.83/47.11 (define @t214 () (tptp.sdtasdt0 @t213 @t139)) % 46.83/47.11 (define @t215 () (= @t214 (tptp.sdtasdt0 @t139 @t213))) % 46.83/47.11 (define @t216 () (= (tptp.sdtasdt0 @t214 @t138) (tptp.sdtasdt0 @t213 (tptp.sdtasdt0 @t139 @t138)))) % 46.83/47.11 (define @t217 () (tptp.sdtpldt0 @t213 @t139)) % 46.83/47.11 (define @t218 () (= @t217 (tptp.sdtpldt0 @t139 @t213))) % 46.83/47.11 (define @t219 () (tptp.sdtpldt0 @t217 @t138)) % 46.83/47.11 (define @t220 () (tptp.sdtpldt0 @t213 (tptp.sdtpldt0 @t139 @t138))) % 46.83/47.11 (define @t221 () (and (= @t219 @t220) @t218 @t216 @t215)) % 46.83/47.11 (define @t222 () (tptp.aScalar0 @t213)) % 46.83/47.11 (define @t223 () (not @t222)) % 46.83/47.11 (define @t224 () (or @t223 @t159 @t169 @t221)) % 46.83/47.11 (define @t225 () (forall @t42 @t192)) % 46.83/47.11 (define @t226 () (= @t220 @t219)) % 46.83/47.11 (define @t227 () (and @t226 @t218 @t216 @t215)) % 46.83/47.11 (define @t228 () (or @t223 @t159 @t169 @t227)) % 46.83/47.11 (define @t229 () (@list @t225)) % 46.83/47.11 (define @t230 () (or @t160 @t169 @t222)) % 46.83/47.11 (define @t231 () (@list false false false false)) % 46.83/47.11 (define @t232 () (tptp.sdtpldt0 @t219 @t137)) % 46.83/47.11 (define @t233 () (tptp.aScalar0 @t217)) % 46.83/47.11 (define @t234 () (or @t223 @t159 @t233)) % 46.83/47.11 (define @t235 () (tptp.sdtasdt0 @t217 @t138)) % 46.83/47.11 (define @t236 () (tptp.sdtpldt0 @t138 @t137)) % 46.83/47.11 (define @t237 () (tptp.sdtpldt0 @t217 @t236)) % 46.83/47.11 (define @t238 () (= @t232 @t237)) % 46.83/47.11 (define @t239 () (and @t238 (= @t219 (tptp.sdtpldt0 @t138 @t217)) (= (tptp.sdtasdt0 @t235 @t137) (tptp.sdtasdt0 @t217 (tptp.sdtasdt0 @t138 @t137))) (= @t235 (tptp.sdtasdt0 @t138 @t217)))) % 46.83/47.11 (define @t240 () (not @t233)) % 46.83/47.11 (define @t241 () (or @t240 @t169 @t166 @t239)) % 46.83/47.11 (define @t242 () (= tptp.sz0z00 @t25)) % 46.83/47.11 (define @t243 () (and (= @t1 @t32) (= @t1 @t31) (= tptp.sz0z00 @t30) (= tptp.sz0z00 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= @t1 @t26) @t242)) % 46.83/47.11 (define @t244 () (= tptp.sz0z00 @t236)) % 46.83/47.11 (define @t245 () (and (= @t137 (tptp.sdtpldt0 @t137 tptp.sz0z00)) (= @t137 (tptp.sdtpldt0 tptp.sz0z00 @t137)) (= tptp.sz0z00 (tptp.sdtasdt0 @t137 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t137)) (= tptp.sz0z00 (tptp.sdtpldt0 @t137 @t138)) @t244 (= @t137 (tptp.smndt0 @t138)) @t242)) % 46.83/47.11 (define @t246 () (or @t166 @t245)) % 46.83/47.11 (define @t247 () (tptp.sdtpldt0 @t138 @t139)) % 46.83/47.11 (define @t248 () (tptp.aScalar0 @t247)) % 46.83/47.11 (define @t249 () (or @t169 @t159 @t248)) % 46.83/47.11 (define @t250 () (tptp.sdtasdt0 @t140 @t138)) % 46.83/47.11 (define @t251 () (tptp.sdtpldt0 @t138 @t140)) % 46.83/47.11 (define @t252 () (= @t213 @t251)) % 46.83/47.11 (define @t253 () (and (= (tptp.sdtpldt0 @t213 @t247) (tptp.sdtpldt0 @t140 (tptp.sdtpldt0 @t138 @t247))) @t252 (= (tptp.sdtasdt0 @t250 @t247) (tptp.sdtasdt0 @t140 (tptp.sdtasdt0 @t138 @t247))) (= @t250 (tptp.sdtasdt0 @t138 @t140)))) % 46.83/47.11 (define @t254 () (not @t248)) % 46.83/47.11 (define @t255 () (or @t160 @t169 @t254 @t253)) % 46.83/47.11 (define @t256 () (tptp.sdtasdt0 @t136 @t188)) % 46.83/47.11 (define @t257 () (tptp.sdtpldt0 @t256 @t140)) % 46.83/47.11 (define @t258 () (tptp.sdtpldt0 @t257 @t139)) % 46.83/47.11 (define @t259 () (tptp.sdtasdt0 @t256 @t140)) % 46.83/47.11 (define @t260 () (= @t259 (tptp.sdtasdt0 @t140 @t256))) % 46.83/47.11 (define @t261 () (= (tptp.sdtasdt0 @t259 @t139) (tptp.sdtasdt0 @t256 (tptp.sdtasdt0 @t140 @t139)))) % 46.83/47.11 (define @t262 () (tptp.sdtpldt0 @t140 @t256)) % 46.83/47.11 (define @t263 () (tptp.sdtpldt0 @t256 @t141)) % 46.83/47.11 (define @t264 () (= @t258 @t263)) % 46.83/47.11 (define @t265 () (and @t264 (= @t257 @t262) @t261 @t260)) % 46.83/47.11 (define @t266 () (tptp.aScalar0 @t256)) % 46.83/47.11 (define @t267 () (not @t266)) % 46.83/47.11 (define @t268 () (or @t267 @t160 @t159 @t265)) % 46.83/47.11 (define @t269 () (and @t264 (= @t262 @t257) @t261 @t260)) % 46.83/47.11 (define @t270 () (or @t267 @t160 @t159 @t269)) % 46.83/47.11 (define @t271 () (or @t151 @t198 @t266)) % 46.83/47.11 (define @t272 () (tptp.sdtpldt0 @t138 @t141)) % 46.83/47.11 (define @t273 () (tptp.sdtasdt0 @t141 @t138)) % 46.83/47.11 (define @t274 () (= @t142 @t272)) % 46.83/47.11 (define @t275 () (and (= @t145 (tptp.sdtpldt0 @t141 (tptp.sdtpldt0 @t138 @t138))) @t274 (= (tptp.sdtasdt0 @t273 @t138) (tptp.sdtasdt0 @t141 (tptp.sdtasdt0 @t138 @t138))) (= @t273 (tptp.sdtasdt0 @t138 @t141)))) % 46.83/47.11 (define @t276 () (or @t170 @t169 @t169 @t275)) % 46.83/47.11 (define @t277 () (tptp.sdtpldt0 @t142 tptp.sz0z00)) % 46.83/47.11 (define @t278 () (tptp.smndt0 @t142)) % 46.83/47.11 (define @t279 () (= @t142 @t277)) % 46.83/47.11 (define @t280 () (and @t279 (= @t142 (tptp.sdtpldt0 tptp.sz0z00 @t142)) (= tptp.sz0z00 (tptp.sdtasdt0 @t142 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t142)) (= tptp.sz0z00 (tptp.sdtpldt0 @t142 @t278)) (= tptp.sz0z00 (tptp.sdtpldt0 @t278 @t142)) (= @t142 (tptp.smndt0 @t278)) @t242)) % 46.83/47.11 (define @t281 () (or @t173 @t280)) % 46.83/47.11 (define @t282 () (tptp.smndt0 @t144)) % 46.83/47.11 (define @t283 () (= @t144 @t179)) % 46.83/47.11 (define @t284 () (and @t283 (= @t144 (tptp.sdtpldt0 tptp.sz0z00 @t144)) (= tptp.sz0z00 (tptp.sdtasdt0 @t144 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t144)) (= tptp.sz0z00 (tptp.sdtpldt0 @t144 @t282)) (= tptp.sz0z00 (tptp.sdtpldt0 @t282 @t144)) (= @t144 (tptp.smndt0 @t282)) @t242)) % 46.83/47.11 (define @t285 () (or @t186 @t284)) % 46.83/47.11 (define @t286 () (tptp.sdtlseqdt0 @t144 @t142)) % 46.83/47.11 (define @t287 () (tptp.sdtpldt0 @t144 @t144)) % 46.83/47.11 (define @t288 () (tptp.sdtlseqdt0 @t287 (tptp.sdtpldt0 @t137 @t142))) % 46.83/47.11 (define @t289 () (not @t286)) % 46.83/47.11 (define @t290 () (or @t186 @t166 @t186 @t173 @t183 @t289 @t288)) % 46.83/47.11 (define @t291 () (tptp.sdtpldt0 @t137 @t206)) % 46.83/47.11 (define @t292 () (= (tptp.sdtasdt0 @t203 @t137) (tptp.sdtasdt0 @t137 @t204))) % 46.83/47.11 (define @t293 () (= (tptp.sdtpldt0 @t191 @t137) @t291)) % 46.83/47.11 (define @t294 () (and @t293 (= @t191 @t206) @t292 (= @t203 @t204))) % 46.83/47.11 (define @t295 () (or @t166 @t210 @t166 @t294)) % 46.83/47.11 (define @t296 () (and @t293 @t207 @t292 @t205)) % 46.83/47.11 (define @t297 () (or @t166 @t210 @t166 @t296)) % 46.83/47.11 (assume @p1 (forall @t3 (=> @t2 true))) % 46.83/47.11 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 46.83/47.11 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 46.83/47.11 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 46.83/47.11 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 46.83/47.11 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 46.83/47.11 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 46.83/47.11 (assume @p8 (forall @t3 (=> @t12 true))) % 46.83/47.11 (assume @p9 @t13) % 46.83/47.11 (assume @p10 @t18) % 46.83/47.11 (assume @p11 @t21) % 46.83/47.11 (assume @p12 @t24) % 46.83/47.11 (assume @p13 @t35) % 46.83/47.11 (assume @p14 @t43) % 46.83/47.11 (assume @p15 (forall @t42 (=> @t41 (and (= (tptp.sdtasdt0 @t1 @t38) (tptp.sdtpldt0 @t19 @t44)) (= (tptp.sdtasdt0 @t14 @t36) (tptp.sdtpldt0 @t44 @t37)))))) % 46.83/47.11 (assume @p16 (forall @t49 (=> @t48 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t36 @t45)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t44 (tptp.sdtasdt0 @t1 @t45)) (tptp.sdtpldt0 @t37 @t46)))))) % 46.83/47.11 (assume @p17 (forall @t11 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t51) @t50) (= (tptp.sdtasdt0 @t22 @t5) @t50))))) % 46.83/47.11 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t22 @t51) @t19)))) % 46.83/47.11 (assume @p19 (forall @t11 (=> @t17 (=> @t52 true)))) % 46.83/47.11 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 46.83/47.11 (assume @p21 (forall @t11 (=> @t17 (=> (and @t52 @t53) @t9)))) % 46.83/47.11 (assume @p22 (forall @t42 (=> @t41 (=> (and @t52 (tptp.sdtlseqdt0 @t5 @t36)) (tptp.sdtlseqdt0 @t1 @t36))))) % 46.83/47.11 (assume @p23 @t58) % 46.83/47.11 (assume @p24 (forall @t49 (=> @t48 (=> (and @t52 (tptp.sdtlseqdt0 tptp.sz0z00 @t36) @t55) (tptp.sdtlseqdt0 @t44 @t46))))) % 46.83/47.11 (assume @p25 (forall @t11 (=> @t17 (or @t52 @t53)))) % 46.83/47.11 (assume @p26 (forall @t11 (=> @t17 (=> (and @t60 @t59) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 46.83/47.11 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t61)))) % 46.83/47.11 (assume @p28 (forall @t11 (=> @t17 (=> (and @t60 @t59 (= @t61 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 46.83/47.11 (assume @p29 (forall @t3 (=> @t62 true))) % 46.83/47.11 (assume @p30 (forall @t3 (=> @t62 (tptp.aNaturalNumber0 @t63)))) % 46.83/47.11 (assume @p31 (forall @t11 (=> (and @t62 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 46.83/47.11 (assume @p32 (forall @t3 (=> @t62 (=> (not (= @t63 tptp.sz00)) (forall @t8 (= (= @t5 @t66) (and @t65 (= (tptp.szszuzczcdt0 @t64) @t63) (forall (@list @t36) (=> (tptp.aNaturalNumber0 @t36) (= (tptp.sdtlbdtrb0 @t5 @t36) (tptp.sdtlbdtrb0 @t1 @t36))))))))))) % 46.83/47.11 (assume @p33 (forall @t11 (=> @t71 (=> @t70 (= (tptp.aDimensionOf0 @t66) (tptp.aDimensionOf0 @t67)))))) % 46.83/47.11 (assume @p34 (forall @t11 (=> @t71 (=> @t69 (tptp.aScalar0 @t72))))) % 46.83/47.11 (assume @p35 (forall @t11 (=> @t71 (=> (and @t69 @t68) (= @t72 tptp.sz0z00))))) % 46.83/47.11 (assume @p36 (forall @t11 (=> @t71 (=> @t70 (= @t72 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t66 @t67) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t63) (tptp.sdtlbdtrb0 @t5 @t64)))))))) % 46.83/47.11 (assume @p37 (forall @t3 (=> @t62 (tptp.sdtlseqdt0 tptp.sz0z00 @t73)))) % 46.83/47.11 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 46.83/47.11 (assume @p39 (forall @t11 (=> @t71 (=> @t69 (=> (tptp.iLess0 @t63 @t74) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t72 @t72) (tptp.sdtasdt0 @t73 (tptp.sdtasasdt0 @t5 @t5)))))))) % 46.83/47.11 (assume @p40 (= @t74 @t75)) % 46.83/47.11 (assume @p41 (not (= @t74 tptp.sz00))) % 46.83/47.11 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t74) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t76))) % 46.83/47.11 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t75) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t77))) % 46.83/47.11 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t78))) % 46.83/47.11 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t79))) % 46.83/47.11 (assume @p46 (and (tptp.aScalar0 tptp.xC) @t81)) % 46.83/47.11 (assume @p47 (and (tptp.aScalar0 tptp.xD) @t83)) % 46.83/47.11 (assume @p48 (and (tptp.aScalar0 tptp.xE) @t85)) % 46.83/47.11 (assume @p49 (and (tptp.aScalar0 tptp.xF) @t87)) % 46.83/47.11 (assume @p50 (and (tptp.aScalar0 tptp.xG) @t89)) % 46.83/47.11 (assume @p51 (and (tptp.aScalar0 tptp.xH) @t91)) % 46.83/47.11 (assume @p52 (and @t94 @t93)) % 46.83/47.11 (assume @p53 (and @t97 @t96)) % 46.83/47.11 (assume @p54 (and @t100 @t99)) % 46.83/47.11 (assume @p55 (and @t103 @t102)) % 46.83/47.11 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 46.83/47.11 (assume @p57 @t105) % 46.83/47.11 (assume @p58 (and (= @t109 @t108) (= (tptp.sdtasdt0 @t107 tptp.xR) @t108) (= (tptp.sdtasdt0 @t107 @t107) @t106))) % 46.83/47.11 (assume @p59 (= @t113 (tptp.sdtpldt0 @t111 (tptp.sdtpldt0 @t108 @t106)))) % 46.83/47.11 (assume @p60 @t116) % 46.83/47.11 (assume @p61 @t120) % 46.83/47.11 (assume @p62 (= @t122 @t117)) % 46.83/47.11 (assume @p63 @t123) % 46.83/47.11 (assume @p64 (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xN tptp.xN) @t117)) % 46.83/47.11 (assume @p65 @t126) % 46.83/47.11 (assume @p66 true) % 46.83/47.11 (step @p67 :rule evaluate :args ((= false true))) % 46.83/47.11 (step @p68 :rule aci_norm :args ((= (or @t134 @t133) (or @t132 @t131 @t130 @t129 @t128 @t127 @t54)))) % 46.83/47.11 (step @p69 :rule aci_norm :args ((= (or (or @t128 @t127) @t54) @t133))) % 46.83/47.11 (step @p70 :rule refl :args (@t54)) % 46.83/47.11 (step @p71 :rule bool-and-de-morgan :args (@t52 @t55 true)) % 46.83/47.11 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t56) @t54))) % 46.83/47.11 (step @p73 :rule trans :premises (@p72 @p69)) % 46.83/47.11 (step @p74 :rule bool-impl-elim :args (@t56 @t54)) % 46.83/47.11 (step @p75 :rule trans :premises (@p74 @p73)) % 46.83/47.11 (step @p76 :rule aci_norm :args ((= (or @t132 (or @t131 (or @t130 @t129))) @t134))) % 46.83/47.11 (step @p77 :rule bool-and-de-morgan :args (@t40 @t47 true)) % 46.83/47.11 (step @p78 :rule refl :args (@t131)) % 46.83/47.11 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t131 (not (and @t40 @t47))))) % 46.83/47.11 (step @p80 :rule bool-and-de-morgan :args (@t16 @t40 (and @t47))) % 46.83/47.11 (step @p81 :rule trans :premises (@p80 @p79)) % 46.83/47.11 (step @p82 :rule refl :args (@t132)) % 46.83/47.11 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t132 (not (and @t16 @t40 @t47))))) % 46.83/47.11 (step @p84 :rule bool-and-de-morgan :args (@t12 @t16 (and @t40 @t47))) % 46.83/47.11 (step @p85 :rule trans :premises (@p84 @p83)) % 46.83/47.11 (step @p86 :rule trans :premises (@p85 @p76)) % 46.83/47.11 (step @p87 :rule nary_cong :premises (@p86 @p75) :args ((or (not @t48) @t57))) % 46.83/47.11 (step @p88 :rule trans :premises (@p87 @p68)) % 46.83/47.11 (step @p89 :rule bool-impl-elim :args (@t48 @t57)) % 46.83/47.11 (step @p90 :rule trans :premises (@p89 @p88)) % 46.83/47.11 (step @p91 :rule cong :premises (@p90) :args (@t58)) % 46.83/47.11 (step @p92 :rule eq_resolve :premises (@p23 @p91)) % 46.83/47.11 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t144 @t137 @t144 @t142))) % 46.83/47.11 (step @p94 :rule instantiate :premises (@p92) :args ((@list @t144 @t137 tptp.sz0z00 @t145))) % 46.83/47.11 (step @p95 :rule and_elim :premises (@p43) :args (3)) % 46.83/47.11 (step @p96 :rule cong :premises (@p95 @p95) :args (@t82)) % 46.83/47.11 (step @p97 :rule refl :args (tptp.xD)) % 46.83/47.11 (step @p98 :rule cong :premises (@p97 @p96) :args (@t83)) % 46.83/47.11 (step @p99 :rule and_elim :premises (@p47) :args (1)) % 46.83/47.11 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 46.83/47.11 (step @p101 :rule and_elim :premises (@p44) :args (1)) % 46.83/47.11 (step @p102 :rule cong :premises (@p101 @p101) :args (@t86)) % 46.83/47.11 (step @p103 :rule refl :args (tptp.xF)) % 46.83/47.11 (step @p104 :rule cong :premises (@p103 @p102) :args (@t87)) % 46.83/47.11 (step @p105 :rule and_elim :premises (@p49) :args (1)) % 46.83/47.11 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 46.83/47.11 (step @p107 :rule cong :premises (@p106 @p100) :args (@t98)) % 46.83/47.11 (step @p108 :rule refl :args (tptp.xS)) % 46.83/47.11 (step @p109 :rule cong :premises (@p108 @p107) :args (@t99)) % 46.83/47.11 (step @p110 :rule and_elim :premises (@p54) :args (1)) % 46.83/47.11 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 46.83/47.11 (step @p112 :rule cong :premises (@p111) :args (@t107)) % 46.83/47.11 (step @p113 :rule and_elim :premises (@p45) :args (1)) % 46.83/47.11 (step @p114 :rule cong :premises (@p113 @p113) :args (@t88)) % 46.83/47.11 (step @p115 :rule refl :args (tptp.xG)) % 46.83/47.11 (step @p116 :rule cong :premises (@p115 @p114) :args (@t89)) % 46.83/47.11 (step @p117 :rule and_elim :premises (@p50) :args (1)) % 46.83/47.11 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 46.83/47.11 (step @p119 :rule and_elim :premises (@p42) :args (3)) % 46.83/47.11 (step @p120 :rule cong :premises (@p119 @p119) :args (@t80)) % 46.83/47.11 (step @p121 :rule refl :args (tptp.xC)) % 46.83/47.11 (step @p122 :rule cong :premises (@p121 @p120) :args (@t81)) % 46.83/47.11 (step @p123 :rule and_elim :premises (@p46) :args (1)) % 46.83/47.11 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 46.83/47.11 (step @p125 :rule cong :premises (@p124 @p118) :args (@t92)) % 46.83/47.11 (step @p126 :rule refl :args (tptp.xR)) % 46.83/47.11 (step @p127 :rule cong :premises (@p126 @p125) :args (@t93)) % 46.83/47.11 (step @p128 :rule and_elim :premises (@p52) :args (1)) % 46.83/47.11 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 46.83/47.11 (step @p130 :rule cong :premises (@p129 @p112) :args (@t112)) % 46.83/47.11 (step @p131 :rule cong :premises (@p130 @p130) :args (@t113)) % 46.83/47.11 (step @p132 :rule refl :args (tptp.sz0z00)) % 46.83/47.11 (step @p133 :rule cong :premises (@p132 @p131) :args (@t123)) % 46.83/47.11 (step @p134 :rule eq_resolve :premises (@p63 @p133)) % 46.83/47.11 (step @p135 :rule true_intro :premises (@p134)) % 46.83/47.11 (step @p136 :rule cong :premises (@p129 @p111) :args (@t101)) % 46.83/47.11 (step @p137 :rule refl :args (tptp.xN)) % 46.83/47.11 (step @p138 :rule cong :premises (@p137 @p136) :args (@t102)) % 46.83/47.11 (step @p139 :rule and_elim :premises (@p55) :args (1)) % 46.83/47.11 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 46.83/47.11 (step @p141 :rule cong :premises (@p140) :args (@t108)) % 46.83/47.11 (step @p142 :rule cong :premises (@p111 @p111) :args (@t106)) % 46.83/47.11 (step @p143 :rule cong :premises (@p129 @p129) :args (@t110)) % 46.83/47.11 (step @p144 :rule cong :premises (@p143 @p142) :args (@t117)) % 46.83/47.11 (step @p145 :rule cong :premises (@p144 @p141) :args (@t118)) % 46.83/47.11 (step @p146 :rule cong :premises (@p145 @p141) :args (@t119)) % 46.83/47.11 (step @p147 :rule cong :premises (@p131 @p146) :args (@t120)) % 46.83/47.11 (step @p148 :rule eq_resolve :premises (@p61 @p147)) % 46.83/47.11 (step @p149 :rule symm :premises (@p148)) % 46.83/47.11 (step @p150 :rule cong :premises (@p132 @p149) :args (@t146)) % 46.83/47.11 (step @p151 :rule trans :premises (@p150 @p135)) % 46.83/47.11 (step @p152 :rule true_elim :premises (@p151)) % 46.83/47.11 (step @p153 :rule aci_norm :args ((= (or @t147 @t15) (or @t132 @t131 @t15)))) % 46.83/47.11 (step @p154 :rule refl :args (@t15)) % 46.83/47.11 (step @p155 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 46.83/47.11 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t148 @t15))) % 46.83/47.11 (step @p157 :rule trans :premises (@p156 @p153)) % 46.83/47.11 (step @p158 :rule bool-impl-elim :args (@t17 @t15)) % 46.83/47.11 (step @p159 :rule trans :premises (@p158 @p157)) % 46.83/47.11 (step @p160 :rule cong :premises (@p159) :args (@t18)) % 46.83/47.11 (step @p161 :rule eq_resolve :premises (@p10 @p160)) % 46.83/47.11 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t142 @t138))) % 46.83/47.11 (step @p163 :rule instantiate :premises (@p161) :args ((@list @t141 @t138))) % 46.83/47.11 (step @p164 :rule instantiate :premises (@p161) :args ((@list @t140 @t139))) % 46.83/47.11 (step @p165 :rule aci_norm :args ((= (or @t147 @t20) (or @t132 @t131 @t20)))) % 46.83/47.11 (step @p166 :rule refl :args (@t20)) % 46.83/47.11 (step @p167 :rule nary_cong :premises (@p155 @p166) :args ((or @t148 @t20))) % 46.83/47.11 (step @p168 :rule trans :premises (@p167 @p165)) % 46.83/47.11 (step @p169 :rule bool-impl-elim :args (@t17 @t20)) % 46.83/47.11 (step @p170 :rule trans :premises (@p169 @p168)) % 46.83/47.11 (step @p171 :rule cong :premises (@p170) :args (@t21)) % 46.83/47.11 (step @p172 :rule eq_resolve :premises (@p11 @p171)) % 46.83/47.11 (step @p173 :rule instantiate :premises (@p172) :args ((@list @t136 @t136))) % 46.83/47.11 (step @p174 :rule cong :premises (@p129) :args (@t94)) % 46.83/47.11 (step @p175 :rule and_elim :premises (@p52) :args (0)) % 46.83/47.11 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 46.83/47.11 (step @p177 :rule cnf_or_pos :args (@t152)) % 46.83/47.11 (step @p178 :rule factoring :premises (@p177)) % 46.83/47.11 (step @p179 :rule reordering :premises (@p178) :args ((or @t151 @t149 (not @t152)))) % 46.83/47.11 (step @p180 :rule chain_m_resolution :premises (@p179 @p176 @p173) :args (@t149 @t153 (@list @t150 @t152))) % 46.83/47.11 (step @p181 :rule instantiate :premises (@p172) :args ((@list @t135 @t135))) % 46.83/47.11 (step @p182 :rule cong :premises (@p111) :args (@t100)) % 46.83/47.11 (step @p183 :rule and_elim :premises (@p54) :args (0)) % 46.83/47.11 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 46.83/47.11 (step @p185 :rule cnf_or_pos :args (@t157)) % 46.83/47.11 (step @p186 :rule factoring :premises (@p185)) % 46.83/47.11 (step @p187 :rule reordering :premises (@p186) :args ((or @t156 @t154 (not @t157)))) % 46.83/47.11 (step @p188 :rule chain_m_resolution :premises (@p187 @p184 @p181) :args (@t154 @t153 (@list @t155 @t157))) % 46.83/47.11 (step @p189 :rule cnf_or_pos :args (@t161)) % 46.83/47.11 (step @p190 :rule reordering :premises (@p189) :args ((or @t159 @t160 @t158 (not @t161)))) % 46.83/47.11 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p180 @p164) :args (@t158 @t162 (@list @t154 @t149 @t161))) % 46.83/47.11 (step @p192 :rule bool-impl-elim :args (@t12 @t23)) % 46.83/47.11 (step @p193 :rule cong :premises (@p192) :args (@t24)) % 46.83/47.11 (step @p194 :rule eq_resolve :premises (@p12 @p193)) % 46.83/47.11 (step @p195 :rule instantiate :premises (@p194) :args (@t163)) % 46.83/47.11 (step @p196 :rule cong :premises (@p140) :args (@t103)) % 46.83/47.11 (step @p197 :rule and_elim :premises (@p55) :args (0)) % 46.83/47.11 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 46.83/47.11 (step @p199 :rule cnf_or_pos :args (@t167)) % 46.83/47.11 (step @p200 :rule reordering :premises (@p199) :args ((or @t166 @t164 (not @t167)))) % 46.83/47.11 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p195) :args (@t164 @t153 (@list @t165 @t167))) % 46.83/47.11 (step @p202 :rule cnf_or_pos :args (@t171)) % 46.83/47.11 (step @p203 :rule reordering :premises (@p202) :args ((or @t169 @t170 @t168 (not @t171)))) % 46.83/47.11 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p191 @p163) :args (@t168 @t162 (@list @t164 @t158 @t171))) % 46.83/47.11 (step @p205 :rule cnf_or_pos :args (@t174)) % 46.83/47.11 (step @p206 :rule reordering :premises (@p205) :args ((or @t169 @t173 @t172 (not @t174)))) % 46.83/47.11 (step @p207 :rule chain_m_resolution :premises (@p206 @p201 @p204 @p162) :args (@t172 @t162 (@list @t164 @t168 @t174))) % 46.83/47.11 (step @p208 :rule instantiate :premises (@p172) :args ((@list @t143 @t143))) % 46.83/47.11 (step @p209 :rule cong :premises (@p101 @p113) :args (@t90)) % 46.83/47.11 (step @p210 :rule refl :args (tptp.xH)) % 46.83/47.11 (step @p211 :rule cong :premises (@p210 @p209) :args (@t91)) % 46.83/47.11 (step @p212 :rule and_elim :premises (@p51) :args (1)) % 46.83/47.11 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 46.83/47.11 (step @p214 :rule cong :premises (@p119 @p95) :args (@t84)) % 46.83/47.11 (step @p215 :rule refl :args (tptp.xE)) % 46.83/47.11 (step @p216 :rule cong :premises (@p215 @p214) :args (@t85)) % 46.83/47.11 (step @p217 :rule and_elim :premises (@p48) :args (1)) % 46.83/47.11 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 46.83/47.11 (step @p219 :rule cong :premises (@p218 @p213) :args (@t95)) % 46.83/47.11 (step @p220 :rule refl :args (tptp.xP)) % 46.83/47.11 (step @p221 :rule cong :premises (@p220 @p219) :args (@t96)) % 46.83/47.11 (step @p222 :rule and_elim :premises (@p53) :args (1)) % 46.83/47.11 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 46.83/47.11 (step @p224 :rule cong :premises (@p223) :args (@t97)) % 46.83/47.11 (step @p225 :rule and_elim :premises (@p53) :args (0)) % 46.83/47.11 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 46.83/47.11 (step @p227 :rule cnf_or_pos :args (@t178)) % 46.83/47.11 (step @p228 :rule factoring :premises (@p227)) % 46.83/47.11 (step @p229 :rule reordering :premises (@p228) :args ((or @t177 @t175 (not @t178)))) % 46.83/47.11 (step @p230 :rule chain_m_resolution :premises (@p229 @p226 @p208) :args (@t175 @t153 (@list @t176 @t178))) % 46.83/47.11 (step @p231 :rule cong :premises (@p223 @p223) :args (@t104)) % 46.83/47.11 (step @p232 :rule cong :premises (@p231 @p140) :args (@t105)) % 46.83/47.11 (step @p233 :rule eq_resolve :premises (@p57 @p232)) % 46.83/47.11 (step @p234 :rule cnf_or_pos :args (@t187)) % 46.83/47.11 (step @p235 :rule reordering :premises (@p234) :args ((or @t185 @t166 @t183 @t186 @t184 @t181 @t180 (not @t187)))) % 46.83/47.11 (step @p236 :rule chain_m_resolution :premises (@p235 @p9 @p198 @p233 @p230 @p207 @p152 @p94) :args (@t180 (@list false false false false false false false) (@list @t13 @t165 @t182 @t175 @t172 @t146 @t187))) % 46.83/47.11 (step @p237 :rule true_intro :premises (@p236)) % 46.83/47.11 (step @p238 :rule refl :args (@t137)) % 46.83/47.11 (step @p239 :rule cong :premises (@p238 @p148) :args (@t191)) % 46.83/47.11 (step @p240 :rule aci_norm :args ((= (or @t193 @t39) @t192))) % 46.83/47.11 (step @p241 :rule refl :args (@t39)) % 46.83/47.11 (step @p242 :rule aci_norm :args ((= (or @t132 (or @t131 @t130)) @t193))) % 46.83/47.11 (step @p243 :rule bool-and-de-morgan :args (@t16 @t40 true)) % 46.83/47.11 (step @p244 :rule nary_cong :premises (@p82 @p243) :args ((or @t132 (not (and @t16 @t40))))) % 46.83/47.11 (step @p245 :rule bool-and-de-morgan :args (@t12 @t16 (and @t40))) % 46.83/47.11 (step @p246 :rule trans :premises (@p245 @p244)) % 46.83/47.11 (step @p247 :rule trans :premises (@p246 @p242)) % 46.83/47.11 (step @p248 :rule nary_cong :premises (@p247 @p241) :args ((or (not @t41) @t39))) % 46.83/47.11 (step @p249 :rule trans :premises (@p248 @p240)) % 46.83/47.11 (step @p250 :rule bool-impl-elim :args (@t41 @t39)) % 46.83/47.11 (step @p251 :rule trans :premises (@p250 @p249)) % 46.83/47.11 (step @p252 :rule cong :premises (@p251) :args (@t43)) % 46.83/47.11 (step @p253 :rule eq_resolve :premises (@p14 @p252)) % 46.83/47.11 (step @p254 :rule instantiate :premises (@p253) :args ((@list @t190 @t137 @t137))) % 46.83/47.11 (step @p255 :rule instantiate :premises (@p172) :args ((@list @t189 @t189))) % 46.83/47.11 (step @p256 :rule instantiate :premises (@p161) :args (@t194)) % 46.83/47.11 (step @p257 :rule instantiate :premises (@p194) :args ((@list @t135))) % 46.83/47.11 (step @p258 :rule cnf_or_pos :args (@t196)) % 46.83/47.11 (step @p259 :rule reordering :premises (@p258) :args ((or @t156 @t195 (not @t196)))) % 46.83/47.11 (step @p260 :rule chain_m_resolution :premises (@p259 @p184 @p257) :args (@t195 @t153 (@list @t155 @t196))) % 46.83/47.11 (step @p261 :rule cnf_or_pos :args (@t199)) % 46.83/47.11 (step @p262 :rule reordering :premises (@p261) :args ((or @t151 @t198 @t197 (not @t199)))) % 46.83/47.11 (step @p263 :rule chain_m_resolution :premises (@p262 @p176 @p260 @p256) :args (@t197 @t162 (@list @t150 @t195 @t199))) % 46.83/47.11 (step @p264 :rule cnf_or_pos :args (@t202)) % 46.83/47.11 (step @p265 :rule factoring :premises (@p264)) % 46.83/47.11 (step @p266 :rule reordering :premises (@p265) :args ((or @t200 @t201 (not @t202)))) % 46.83/47.11 (step @p267 :rule chain_m_resolution :premises (@p266 @p263 @p255) :args (@t200 @t153 (@list @t197 @t202))) % 46.83/47.11 (step @p268 :rule cnf_or_pos :args (@t211)) % 46.83/47.11 (step @p269 :rule factoring :premises (@p268)) % 46.83/47.11 (step @p270 :rule reordering :premises (@p269) :args ((or @t166 @t210 @t209 (not @t211)))) % 46.83/47.11 (step @p271 :rule chain_m_resolution :premises (@p270 @p198 @p267 @p254) :args (@t209 @t162 (@list @t165 @t200 @t211))) % 46.83/47.11 (step @p272 :rule cnf_and_pos :args (@t209 1)) % 46.83/47.11 (step @p273 :rule reordering :premises (@p272) :args ((or @t207 (not @t209)))) % 46.83/47.11 (step @p274 :rule chain_m_resolution :premises (@p273 @p271) :args (@t207 @t212 (@list @t209))) % 46.83/47.11 (step @p275 :rule cong :premises (@p142 @p141) :args (@t114)) % 46.83/47.11 (step @p276 :rule cong :premises (@p143 @p141) :args (@t111)) % 46.83/47.11 (step @p277 :rule cong :premises (@p276 @p275) :args (@t115)) % 46.83/47.11 (step @p278 :rule cong :premises (@p131 @p277) :args (@t116)) % 46.83/47.11 (step @p279 :rule eq_resolve :premises (@p60 @p278)) % 46.83/47.11 (step @p280 :rule symm :premises (@p279)) % 46.83/47.11 (step @p281 :rule refl :args (@t215)) % 46.83/47.11 (step @p282 :rule refl :args (@t216)) % 46.83/47.11 (step @p283 :rule refl :args (@t218)) % 46.83/47.11 (step @p284 :rule eq-symm :args (@t219 @t220)) % 46.83/47.11 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282 @p281) :args (@t221)) % 46.83/47.11 (step @p286 :rule refl :args (@t169)) % 46.83/47.11 (step @p287 :rule refl :args (@t159)) % 46.83/47.11 (step @p288 :rule refl :args (@t223)) % 46.83/47.11 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286 @p285) :args (@t224)) % 46.83/47.11 (step @p290 :rule refl :args (@t225)) % 46.83/47.11 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t225 @t224))) % 46.83/47.11 (assume-push @p489 @t225) % 46.83/47.11 (step @p293 :rule instantiate :premises (@p253) :args ((@list @t213 @t139 @t138))) % 46.83/47.11 (step-pop @p490 :rule scope :premises (@p293)) % 46.83/47.11 (step @p294 :rule process_scope :premises (@p490) :args (@t224)) % 46.83/47.11 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 46.83/47.11 (step @p297 :rule implies_elim :premises (@p296)) % 46.83/47.11 (step @p298 :rule chain_m_resolution :premises (@p297 @p253) :args (@t228 @t212 @t229)) % 46.83/47.11 (step @p299 :rule instantiate :premises (@p161) :args ((@list @t140 @t138))) % 46.83/47.11 (step @p300 :rule cnf_or_pos :args (@t230)) % 46.83/47.11 (step @p301 :rule reordering :premises (@p300) :args ((or @t169 @t160 @t222 (not @t230)))) % 46.83/47.11 (step @p302 :rule chain_m_resolution :premises (@p301 @p201 @p180 @p299) :args (@t222 @t162 (@list @t164 @t149 @t230))) % 46.83/47.11 (step @p303 :rule cnf_or_pos :args (@t228)) % 46.83/47.11 (step @p304 :rule reordering :premises (@p303) :args ((or @t169 @t159 @t223 @t227 (not @t228)))) % 46.83/47.11 (step @p305 :rule chain_m_resolution :premises (@p304 @p201 @p188 @p302 @p298) :args (@t227 @t231 (@list @t164 @t154 @t222 @t228))) % 46.83/47.11 (step @p306 :rule cnf_and_pos :args (@t227 0)) % 46.83/47.11 (step @p307 :rule reordering :premises (@p306) :args ((or @t226 (not @t227)))) % 46.83/47.11 (step @p308 :rule chain_m_resolution :premises (@p307 @p305) :args (@t226 @t212 (@list @t227))) % 46.83/47.11 (step @p309 :rule symm :premises (@p308)) % 46.83/47.11 (step @p310 :rule trans :premises (@p309 @p280)) % 46.83/47.11 (step @p311 :rule cong :premises (@p310 @p238) :args (@t232)) % 46.83/47.11 (step @p312 :rule instantiate :premises (@p253) :args ((@list @t217 @t138 @t137))) % 46.83/47.11 (step @p313 :rule instantiate :premises (@p161) :args ((@list @t213 @t139))) % 46.83/47.11 (step @p314 :rule cnf_or_pos :args (@t234)) % 46.83/47.11 (step @p315 :rule reordering :premises (@p314) :args ((or @t159 @t223 @t233 (not @t234)))) % 46.83/47.11 (step @p316 :rule chain_m_resolution :premises (@p315 @p188 @p302 @p313) :args (@t233 @t162 (@list @t154 @t222 @t234))) % 46.83/47.11 (step @p317 :rule cnf_or_pos :args (@t241)) % 46.83/47.11 (step @p318 :rule reordering :premises (@p317) :args ((or @t166 @t169 @t240 @t239 (not @t241)))) % 46.83/47.11 (step @p319 :rule chain_m_resolution :premises (@p318 @p198 @p201 @p316 @p312) :args (@t239 @t231 (@list @t165 @t164 @t233 @t241))) % 46.83/47.11 (step @p320 :rule cnf_and_pos :args (@t239 0)) % 46.83/47.11 (step @p321 :rule reordering :premises (@p320) :args ((or @t238 (not @t239)))) % 46.83/47.11 (step @p322 :rule chain_m_resolution :premises (@p321 @p319) :args (@t238 @t212 (@list @t239))) % 46.83/47.11 (step @p323 :rule symm :premises (@p322)) % 46.83/47.11 (step @p324 :rule bool-impl-elim :args (@t12 @t243)) % 46.83/47.11 (step @p325 :rule cong :premises (@p324) :args ((forall @t3 (=> @t12 @t243)))) % 46.83/47.11 (step @p326 :rule eq-symm :args (@t25 tptp.sz0z00)) % 46.83/47.11 (step @p327 :rule eq-symm :args (@t26 @t1)) % 46.83/47.11 (step @p328 :rule eq-symm :args (@t27 tptp.sz0z00)) % 46.83/47.11 (step @p329 :rule eq-symm :args (@t28 tptp.sz0z00)) % 46.83/47.11 (step @p330 :rule eq-symm :args (@t29 tptp.sz0z00)) % 46.83/47.11 (step @p331 :rule eq-symm :args (@t30 tptp.sz0z00)) % 46.83/47.11 (step @p332 :rule eq-symm :args (@t31 @t1)) % 46.83/47.11 (step @p333 :rule eq-symm :args (@t32 @t1)) % 46.83/47.11 (step @p334 :rule nary_cong :premises (@p333 @p332 @p331 @p330 @p329 @p328 @p327 @p326) :args (@t33)) % 46.83/47.11 (step @p335 :rule refl :args (@t12)) % 46.83/47.11 (step @p336 :rule cong :premises (@p335 @p334) :args (@t34)) % 46.83/47.11 (step @p337 :rule cong :premises (@p336) :args (@t35)) % 46.83/47.11 (step @p338 :rule trans :premises (@p337 @p325)) % 46.83/47.11 (step @p339 :rule eq_resolve :premises (@p13 @p338)) % 46.83/47.11 (step @p340 :rule instantiate :premises (@p339) :args (@t163)) % 46.83/47.11 (step @p341 :rule cnf_or_pos :args (@t246)) % 46.83/47.11 (step @p342 :rule reordering :premises (@p341) :args ((or @t166 @t245 (not @t246)))) % 46.83/47.11 (step @p343 :rule chain_m_resolution :premises (@p342 @p198 @p340) :args (@t245 @t153 (@list @t165 @t246))) % 46.83/47.11 (step @p344 :rule cnf_and_pos :args (@t245 5)) % 46.83/47.11 (step @p345 :rule reordering :premises (@p344) :args ((or @t244 (not @t245)))) % 46.83/47.11 (step @p346 :rule chain_m_resolution :premises (@p345 @p343) :args (@t244 @t212 (@list @t245))) % 46.83/47.11 (step @p347 :rule refl :args (@t139)) % 46.83/47.11 (step @p348 :rule instantiate :premises (@p253) :args ((@list @t140 @t138 @t247))) % 46.83/47.11 (step @p349 :rule instantiate :premises (@p161) :args ((@list @t138 @t139))) % 46.83/47.11 (step @p350 :rule cnf_or_pos :args (@t249)) % 46.83/47.11 (step @p351 :rule reordering :premises (@p350) :args ((or @t169 @t159 @t248 (not @t249)))) % 46.83/47.11 (step @p352 :rule chain_m_resolution :premises (@p351 @p201 @p188 @p349) :args (@t248 @t162 (@list @t164 @t154 @t249))) % 46.83/47.11 (step @p353 :rule cnf_or_pos :args (@t255)) % 46.83/47.11 (step @p354 :rule reordering :premises (@p353) :args ((or @t169 @t160 @t254 @t253 (not @t255)))) % 46.83/47.11 (step @p355 :rule chain_m_resolution :premises (@p354 @p201 @p180 @p352 @p348) :args (@t253 @t231 (@list @t164 @t149 @t248 @t255))) % 46.83/47.11 (step @p356 :rule cnf_and_pos :args (@t253 1)) % 46.83/47.11 (step @p357 :rule reordering :premises (@p356) :args ((or @t252 (not @t253)))) % 46.83/47.11 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t252 @t212 (@list @t253))) % 46.83/47.11 (step @p359 :rule symm :premises (@p358)) % 46.83/47.11 (step @p360 :rule refl :args (@t140)) % 46.83/47.11 (step @p361 :rule eq-symm :args (@t138 @t256)) % 46.83/47.11 (step @p362 :rule cong :premises (@p129 @p112) :args (@t109)) % 46.83/47.11 (step @p363 :rule cong :premises (@p141 @p362) :args ((= @t108 @t109))) % 46.83/47.11 (step @p364 :rule trans :premises (@p363 @p361)) % 46.83/47.11 (step @p365 :rule eq-symm :args (@t109 @t108)) % 46.83/47.11 (step @p366 :rule trans :premises (@p365 @p364)) % 46.83/47.11 (step @p367 :rule and_elim :premises (@p58) :args (0)) % 46.83/47.11 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 46.83/47.11 (step @p369 :rule cong :premises (@p368 @p360) :args (@t257)) % 46.83/47.11 (step @p370 :rule trans :premises (@p369 @p359)) % 46.83/47.11 (step @p371 :rule cong :premises (@p370 @p347) :args (@t258)) % 46.83/47.11 (step @p372 :rule refl :args (@t260)) % 46.83/47.11 (step @p373 :rule refl :args (@t261)) % 46.83/47.11 (step @p374 :rule eq-symm 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instantiate :premises (@p172) :args (@t194)) % 46.83/47.11 (step @p389 :rule cnf_or_pos :args (@t271)) % 46.83/47.11 (step @p390 :rule reordering :premises (@p389) :args ((or @t151 @t198 @t266 (not @t271)))) % 46.83/47.11 (step @p391 :rule chain_m_resolution :premises (@p390 @p176 @p260 @p388) :args (@t266 @t162 (@list @t150 @t195 @t271))) % 46.83/47.11 (step @p392 :rule cnf_or_pos :args (@t270)) % 46.83/47.11 (step @p393 :rule reordering :premises (@p392) :args ((or @t159 @t160 @t267 @t269 (not @t270)))) % 46.83/47.11 (step @p394 :rule chain_m_resolution :premises (@p393 @p188 @p180 @p391 @p387) :args (@t269 @t231 (@list @t154 @t149 @t266 @t270))) % 46.83/47.11 (step @p395 :rule cnf_and_pos :args (@t269 0)) % 46.83/47.11 (step @p396 :rule reordering :premises (@p395) :args ((or @t264 (not @t269)))) % 46.83/47.11 (step @p397 :rule chain_m_resolution :premises (@p396 @p394) :args (@t264 @t212 (@list @t269))) % 46.83/47.11 (step @p398 :rule symm :premises (@p397)) % 46.83/47.11 (step @p399 :rule refl :args (@t141)) % 46.83/47.11 (step @p400 :rule symm :premises (@p368)) % 46.83/47.11 (step @p401 :rule cong :premises (@p400 @p399) :args (@t272)) % 46.83/47.11 (step @p402 :rule instantiate :premises (@p253) :args ((@list @t141 @t138 @t138))) % 46.83/47.11 (step @p403 :rule cnf_or_pos :args (@t276)) % 46.83/47.11 (step @p404 :rule factoring :premises (@p403)) % 46.83/47.11 (step @p405 :rule reordering :premises (@p404) :args ((or @t169 @t170 @t275 (not @t276)))) % 46.83/47.11 (step @p406 :rule chain_m_resolution :premises (@p405 @p201 @p191 @p402) :args (@t275 @t162 (@list @t164 @t158 @t276))) % 46.83/47.11 (step @p407 :rule cnf_and_pos :args (@t275 1)) % 46.83/47.11 (step @p408 :rule reordering :premises (@p407) :args ((or @t274 (not @t275)))) % 46.83/47.11 (step @p409 :rule chain_m_resolution :premises (@p408 @p406) :args (@t274 @t212 (@list @t275))) % 46.83/47.11 (step @p410 :rule trans :premises (@p409 @p401 @p398 @p371)) % 46.83/47.11 (step @p411 :rule cong :premises (@p410 @p346) :args (@t277)) % 46.83/47.11 (step @p412 :rule instantiate :premises (@p339) :args ((@list @t142))) % 46.83/47.11 (step @p413 :rule cnf_or_pos :args (@t281)) % 46.83/47.11 (step @p414 :rule reordering :premises (@p413) :args ((or @t173 @t280 (not @t281)))) % 46.83/47.11 (step @p415 :rule chain_m_resolution :premises (@p414 @p204 @p412) :args (@t280 @t153 (@list @t168 @t281))) % 46.83/47.11 (step @p416 :rule cnf_and_pos :args (@t280 0)) % 46.83/47.11 (step @p417 :rule reordering :premises (@p416) :args ((or @t279 (not @t280)))) % 46.83/47.11 (step @p418 :rule chain_m_resolution :premises (@p417 @p415) :args (@t279 @t212 (@list @t280))) % 46.83/47.11 (step @p419 :rule trans :premises (@p418 @p411 @p323 @p311 @p274 @p239)) % 46.83/47.11 (step @p420 :rule instantiate :premises (@p339) :args ((@list @t144))) % 46.83/47.11 (step @p421 :rule cnf_or_pos :args (@t285)) % 46.83/47.11 (step @p422 :rule reordering :premises (@p421) :args ((or @t186 @t284 (not @t285)))) % 46.83/47.11 (step @p423 :rule chain_m_resolution :premises (@p422 @p230 @p420) :args (@t284 @t153 (@list @t175 @t285))) % 46.83/47.11 (step @p424 :rule cnf_and_pos :args (@t284 0)) % 46.83/47.11 (step @p425 :rule reordering :premises (@p424) :args ((or @t283 (not @t284)))) % 46.83/47.11 (step @p426 :rule chain_m_resolution :premises (@p425 @p423) :args (@t283 @t212 (@list @t284))) % 46.83/47.11 (step @p427 :rule cong :premises (@p426 @p419) :args (@t286)) % 46.83/47.11 (step @p428 :rule trans :premises (@p427 @p237)) % 46.83/47.11 (step @p429 :rule true_elim :premises (@p428)) % 46.83/47.11 (step @p430 :rule cnf_or_pos :args (@t290)) % 46.83/47.11 (step @p431 :rule factoring :premises (@p430)) % 46.83/47.11 (step @p432 :rule reordering :premises (@p431) :args ((or @t166 @t183 @t186 @t173 @t289 @t288 (not @t290)))) % 46.83/47.11 (step @p433 :rule chain_m_resolution :premises (@p432 @p198 @p233 @p230 @p204 @p429 @p93) :args (@t288 (@list false false false false false false) (@list @t165 @t182 @t175 @t168 @t286 @t290))) % 46.83/47.11 (step @p434 :rule true_intro :premises (@p433)) % 46.83/47.11 (step @p435 :rule symm :premises (@p418)) % 46.83/47.11 (step @p436 :rule symm :premises (@p346)) % 46.83/47.11 (step @p437 :rule symm :premises (@p409)) % 46.83/47.11 (step @p438 :rule cong :premises (@p368 @p399) :args (@t263)) % 46.83/47.11 (step @p439 :rule cong :premises (@p400 @p360) :args (@t251)) % 46.83/47.11 (step @p440 :rule trans :premises (@p358 @p439)) % 46.83/47.11 (step @p441 :rule cong :premises (@p440 @p347) :args (@t217)) % 46.83/47.11 (step @p442 :rule trans :premises (@p441 @p397 @p438 @p437)) % 46.83/47.11 (step @p443 :rule cong :premises (@p442 @p436) :args (@t237)) % 46.83/47.11 (step @p444 :rule trans :premises (@p279 @p308)) % 46.83/47.11 (step @p445 :rule cong :premises (@p444 @p238) :args (@t206)) % 46.83/47.11 (step @p446 :rule trans :premises (@p445 @p322 @p443 @p435)) % 46.83/47.11 (step @p447 :rule cong :premises (@p238 @p446) :args (@t291)) % 46.83/47.11 (step @p448 :rule eq-symm :args (@t203 @t204)) % 46.83/47.11 (step @p449 :rule refl :args (@t292)) % 46.83/47.11 (step @p450 :rule eq-symm :args (@t191 @t206)) % 46.83/47.11 (step @p451 :rule refl :args (@t293)) % 46.83/47.11 (step @p452 :rule nary_cong :premises (@p451 @p450 @p449 @p448) :args (@t294)) % 46.83/47.11 (step @p453 :rule refl :args (@t166)) % 46.83/47.11 (step @p454 :rule refl :args (@t210)) % 46.83/47.11 (step @p455 :rule nary_cong :premises (@p453 @p454 @p453 @p452) :args (@t295)) % 46.83/47.11 (step @p456 :rule cong :premises (@p290 @p455) :args ((=> @t225 @t295))) % 46.83/47.11 (assume-push @p493 @t225) % 46.83/47.11 (step @p458 :rule instantiate :premises (@p253) :args ((@list @t137 @t190 @t137))) % 46.83/47.11 (step-pop @p494 :rule scope :premises (@p458)) % 46.83/47.11 (step @p459 :rule process_scope :premises (@p494) :args (@t295)) % 46.83/47.11 (step @p461 :rule eq_resolve :premises (@p459 @p456)) % 46.83/47.11 (step @p462 :rule implies_elim :premises (@p461)) % 46.83/47.11 (step @p463 :rule chain_m_resolution :premises (@p462 @p253) :args (@t297 @t212 @t229)) % 46.83/47.11 (step @p464 :rule cnf_or_pos :args (@t297)) % 46.83/47.11 (step @p465 :rule factoring :premises (@p464)) % 46.83/47.11 (step @p466 :rule reordering :premises (@p465) :args ((or @t166 @t210 @t296 (not @t297)))) % 46.83/47.11 (step @p467 :rule chain_m_resolution :premises (@p466 @p198 @p267 @p463) :args (@t296 @t162 (@list @t165 @t200 @t297))) % 46.83/47.11 (step @p468 :rule cnf_and_pos :args (@t296 0)) % 46.83/47.11 (step @p469 :rule reordering :premises (@p468) :args ((or @t293 (not @t296)))) % 46.83/47.11 (step @p470 :rule chain_m_resolution :premises (@p469 @p467) :args (@t293 @t212 (@list @t296))) % 46.83/47.11 (step @p471 :rule cong :premises (@p274 @p238) :args (@t208)) % 46.83/47.11 (step @p472 :rule cong :premises (@p131 @p140) :args (@t121)) % 46.83/47.11 (step @p473 :rule cong :premises (@p472 @p140) :args (@t122)) % 46.83/47.11 (step @p474 :rule cong :premises (@p144 @p473) :args ((= @t117 @t122))) % 46.83/47.11 (step @p475 :rule eq-symm :args (@t122 @t117)) % 46.83/47.11 (step @p476 :rule trans :premises (@p475 @p474)) % 46.83/47.11 (step @p477 :rule eq_resolve :premises (@p62 @p476)) % 46.83/47.11 (step @p478 :rule trans :premises (@p477 @p471 @p470 @p447)) % 46.83/47.11 (step @p479 :rule refl :args (@t287)) % 46.83/47.11 (step @p480 :rule cong :premises (@p479 @p478) :args ((tptp.sdtlseqdt0 @t287 @t141))) % 46.83/47.11 (step @p481 :rule cong :premises (@p231 @p231) :args (@t124)) % 46.83/47.11 (step @p482 :rule cong :premises (@p481 @p144) :args (@t125)) % 46.83/47.11 (step @p483 :rule cong :premises (@p482) :args (@t126)) % 46.83/47.11 (step @p484 :rule eq_resolve :premises (@p65 @p483)) % 46.83/47.11 (step @p485 :rule false_intro :premises (@p484)) % 46.83/47.11 (step @p486 :rule symm :premises (@p485)) % 46.83/47.11 (step @p487 :rule trans :premises (@p486 @p480 @p434)) % 46.83/47.11 (step @p488 false :rule eq_resolve :premises (@p487 @p67)) % 46.83/47.11 ) % 46.83/47.11 % SZS output end Proof % 46.83/47.11 % cvc5 exiting %------------------------------------------------------------------------------