%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG075+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:45:35 AM UTC 2026 % Result : Theorem 160.58s 160.83s % Output : Proof 160.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG075+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 14:05:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 160.58/160.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 160.58/160.83 --- Run --no-e-matching --full-saturate-quant at 6... % 160.58/160.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 160.58/160.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 160.58/160.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 160.58/160.83 --- Run --trigger-sel=max --full-saturate-quant at 15... % 160.58/160.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 160.58/160.83 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 160.58/160.83 --- Run --prenex-quant=none --full-saturate-quant at 30... % 160.58/160.83 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 160.58/160.83 % SZS status Theorem % 160.58/160.83 % SZS output start Proof % 160.58/160.83 ( % 160.58/160.83 (declare-sort $$unsorted 0) % 160.58/160.83 (declare-const tptp.xN $$unsorted) % 160.58/160.83 (declare-const tptp.xS $$unsorted) % 160.58/160.83 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 160.58/160.83 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.sz00 $$unsorted) % 160.58/160.83 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 160.58/160.83 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xp $$unsorted) % 160.58/160.83 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xG $$unsorted) % 160.58/160.83 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xF $$unsorted) % 160.58/160.83 (declare-const tptp.sz0z00 $$unsorted) % 160.58/160.83 (declare-const tptp.xC $$unsorted) % 160.58/160.83 (declare-const tptp.xR $$unsorted) % 160.58/160.83 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 160.58/160.83 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xs $$unsorted) % 160.58/160.83 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xq $$unsorted) % 160.58/160.83 (declare-const tptp.xP $$unsorted) % 160.58/160.83 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 160.58/160.83 (declare-const tptp.xA $$unsorted) % 160.58/160.83 (declare-const tptp.xB $$unsorted) % 160.58/160.83 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 160.58/160.83 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 160.58/160.83 (declare-const tptp.xt $$unsorted) % 160.58/160.83 (declare-const tptp.xD $$unsorted) % 160.58/160.83 (declare-const tptp.xE $$unsorted) % 160.58/160.83 (declare-const tptp.xH $$unsorted) % 160.58/160.83 (define @t1 () (@var "W0" $$unsorted)) % 160.58/160.83 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 160.58/160.83 (define @t3 () (@list @t1)) % 160.58/160.83 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 160.58/160.83 (define @t5 () (@var "W1" $$unsorted)) % 160.58/160.83 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 160.58/160.83 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 160.58/160.83 (define @t8 () (@list @t5)) % 160.58/160.83 (define @t9 () (= @t1 @t5)) % 160.58/160.83 (define @t10 () (and @t2 @t7)) % 160.58/160.83 (define @t11 () (@list @t1 @t5)) % 160.58/160.83 (define @t12 () (tptp.aScalar0 @t1)) % 160.58/160.83 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 160.58/160.83 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 160.58/160.83 (define @t15 () (tptp.aScalar0 @t14)) % 160.58/160.83 (define @t16 () (tptp.aScalar0 @t5)) % 160.58/160.83 (define @t17 () (and @t12 @t16)) % 160.58/160.83 (define @t18 () (forall @t11 (=> @t17 @t15))) % 160.58/160.83 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 160.58/160.83 (define @t20 () (tptp.aScalar0 @t19)) % 160.58/160.83 (define @t21 () (forall @t11 (=> @t17 @t20))) % 160.58/160.83 (define @t22 () (tptp.smndt0 @t1)) % 160.58/160.83 (define @t23 () (tptp.aScalar0 @t22)) % 160.58/160.83 (define @t24 () (forall @t3 (=> @t12 @t23))) % 160.58/160.83 (define @t25 () (tptp.smndt0 tptp.sz0z00)) % 160.58/160.83 (define @t26 () (tptp.smndt0 @t22)) % 160.58/160.83 (define @t27 () (tptp.sdtpldt0 @t22 @t1)) % 160.58/160.83 (define @t28 () (tptp.sdtpldt0 @t1 @t22)) % 160.58/160.83 (define @t29 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 160.58/160.83 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 160.58/160.83 (define @t31 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 160.58/160.83 (define @t32 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 160.58/160.83 (define @t33 () (and (= @t32 @t1) (= @t31 @t1) (= @t30 tptp.sz0z00) (= @t29 tptp.sz0z00) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 @t1) (= @t25 tptp.sz0z00))) % 160.58/160.83 (define @t34 () (=> @t12 @t33)) % 160.58/160.83 (define @t35 () (forall @t3 @t34)) % 160.58/160.83 (define @t36 () (@var "W2" $$unsorted)) % 160.58/160.83 (define @t37 () (tptp.sdtasdt0 @t5 @t36)) % 160.58/160.83 (define @t38 () (tptp.sdtpldt0 @t5 @t36)) % 160.58/160.83 (define @t39 () (and (= (tptp.sdtpldt0 @t14 @t36) (tptp.sdtpldt0 @t1 @t38)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t36) (tptp.sdtasdt0 @t1 @t37)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))) % 160.58/160.83 (define @t40 () (tptp.aScalar0 @t36)) % 160.58/160.83 (define @t41 () (and @t12 @t16 @t40)) % 160.58/160.83 (define @t42 () (@list @t1 @t5 @t36)) % 160.58/160.83 (define @t43 () (forall @t42 (=> @t41 @t39))) % 160.58/160.83 (define @t44 () (tptp.sdtasdt0 @t1 @t36)) % 160.58/160.83 (define @t45 () (and (= (tptp.sdtasdt0 @t1 @t38) (tptp.sdtpldt0 @t19 @t44)) (= (tptp.sdtasdt0 @t14 @t36) (tptp.sdtpldt0 @t44 @t37)))) % 160.58/160.83 (define @t46 () (forall @t42 (=> @t41 @t45))) % 160.58/160.83 (define @t47 () (@var "W3" $$unsorted)) % 160.58/160.83 (define @t48 () (tptp.sdtasdt0 @t5 @t47)) % 160.58/160.83 (define @t49 () (tptp.aScalar0 @t47)) % 160.58/160.83 (define @t50 () (and @t12 @t16 @t40 @t49)) % 160.58/160.83 (define @t51 () (@list @t1 @t5 @t36 @t47)) % 160.58/160.83 (define @t52 () (tptp.smndt0 @t19)) % 160.58/160.83 (define @t53 () (tptp.sdtasdt0 @t22 @t5)) % 160.58/160.83 (define @t54 () (tptp.smndt0 @t5)) % 160.58/160.83 (define @t55 () (tptp.sdtasdt0 @t1 @t54)) % 160.58/160.83 (define @t56 () (and (= @t55 @t52) (= @t53 @t52))) % 160.58/160.83 (define @t57 () (=> @t17 @t56)) % 160.58/160.83 (define @t58 () (forall @t11 @t57)) % 160.58/160.83 (define @t59 () (tptp.sdtasdt0 @t22 @t54)) % 160.58/160.83 (define @t60 () (=> @t17 (= @t59 @t19))) % 160.58/160.83 (define @t61 () (forall @t11 @t60)) % 160.58/160.83 (define @t62 () (tptp.sdtlseqdt0 @t1 @t5)) % 160.58/160.83 (define @t63 () (tptp.sdtlseqdt0 @t1 @t1)) % 160.58/160.83 (define @t64 () (forall @t3 (=> @t12 @t63))) % 160.58/160.83 (define @t65 () (tptp.sdtlseqdt0 @t5 @t1)) % 160.58/160.83 (define @t66 () (and @t62 @t65)) % 160.58/160.83 (define @t67 () (=> @t66 @t9)) % 160.58/160.83 (define @t68 () (forall @t11 (=> @t17 @t67))) % 160.58/160.83 (define @t69 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t36) (tptp.sdtpldt0 @t5 @t47))) % 160.58/160.83 (define @t70 () (tptp.sdtlseqdt0 @t36 @t47)) % 160.58/160.83 (define @t71 () (and @t62 @t70)) % 160.58/160.83 (define @t72 () (=> @t71 @t69)) % 160.58/160.83 (define @t73 () (forall @t51 (=> @t50 @t72))) % 160.58/160.83 (define @t74 () (tptp.sdtlseqdt0 @t44 @t48)) % 160.58/160.83 (define @t75 () (tptp.sdtlseqdt0 tptp.sz0z00 @t36)) % 160.58/160.83 (define @t76 () (and @t62 @t75 @t70)) % 160.58/160.83 (define @t77 () (=> @t76 @t74)) % 160.58/160.83 (define @t78 () (forall @t51 (=> @t50 @t77))) % 160.58/160.83 (define @t79 () (or @t62 @t65)) % 160.58/160.83 (define @t80 () (forall @t11 (=> @t17 @t79))) % 160.58/160.83 (define @t81 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t19))) % 160.58/160.83 (define @t82 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 160.58/160.83 (define @t83 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 160.58/160.83 (define @t84 () (and @t83 @t82)) % 160.58/160.83 (define @t85 () (=> @t84 @t81)) % 160.58/160.83 (define @t86 () (forall @t11 (=> @t17 @t85))) % 160.58/160.83 (define @t87 () (tptp.sdtasdt0 @t1 @t1)) % 160.58/160.83 (define @t88 () (tptp.sdtlseqdt0 tptp.sz0z00 @t87)) % 160.58/160.83 (define @t89 () (forall @t3 (=> @t12 @t88))) % 160.58/160.83 (define @t90 () (= @t87 (tptp.sdtasdt0 @t5 @t5))) % 160.58/160.83 (define @t91 () (and @t83 @t82 @t90)) % 160.58/160.83 (define @t92 () (=> @t91 @t9)) % 160.58/160.83 (define @t93 () (forall @t11 (=> @t17 @t92))) % 160.58/160.83 (define @t94 () (tptp.aVector0 @t1)) % 160.58/160.83 (define @t95 () (tptp.aDimensionOf0 @t1)) % 160.58/160.83 (define @t96 () (tptp.aDimensionOf0 @t5)) % 160.58/160.83 (define @t97 () (tptp.aVector0 @t5)) % 160.58/160.83 (define @t98 () (tptp.sziznziztdt0 @t1)) % 160.58/160.83 (define @t99 () (tptp.sziznziztdt0 @t5)) % 160.58/160.83 (define @t100 () (= @t96 tptp.sz00)) % 160.58/160.83 (define @t101 () (= @t95 @t96)) % 160.58/160.83 (define @t102 () (and @t101 (not @t100))) % 160.58/160.83 (define @t103 () (and @t94 @t97)) % 160.58/160.83 (define @t104 () (tptp.sdtasasdt0 @t1 @t5)) % 160.58/160.83 (define @t105 () (tptp.sdtasasdt0 @t1 @t1)) % 160.58/160.83 (define @t106 () (tptp.sdtlseqdt0 tptp.sz0z00 @t105)) % 160.58/160.83 (define @t107 () (forall @t3 (=> @t94 @t106))) % 160.58/160.83 (define @t108 () (tptp.aDimensionOf0 tptp.xs)) % 160.58/160.83 (define @t109 () (tptp.aDimensionOf0 tptp.xt)) % 160.58/160.83 (define @t110 () (tptp.sziznziztdt0 tptp.xs)) % 160.58/160.83 (define @t111 () (tptp.aVector0 tptp.xp)) % 160.58/160.83 (define @t112 () (tptp.sziznziztdt0 tptp.xt)) % 160.58/160.83 (define @t113 () (tptp.sdtlbdtrb0 tptp.xs @t108)) % 160.58/160.83 (define @t114 () (tptp.aScalar0 tptp.xA)) % 160.58/160.83 (define @t115 () (tptp.sdtlbdtrb0 tptp.xt @t109)) % 160.58/160.83 (define @t116 () (tptp.aScalar0 tptp.xB)) % 160.58/160.83 (define @t117 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 160.58/160.83 (define @t118 () (= tptp.xC @t117)) % 160.58/160.83 (define @t119 () (tptp.aScalar0 tptp.xC)) % 160.58/160.83 (define @t120 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 160.58/160.83 (define @t121 () (= tptp.xD @t120)) % 160.58/160.83 (define @t122 () (tptp.aScalar0 tptp.xD)) % 160.58/160.83 (define @t123 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 160.58/160.83 (define @t124 () (= tptp.xE @t123)) % 160.58/160.83 (define @t125 () (tptp.aScalar0 tptp.xE)) % 160.58/160.83 (define @t126 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 160.58/160.83 (define @t127 () (= tptp.xF @t126)) % 160.58/160.83 (define @t128 () (tptp.aScalar0 tptp.xF)) % 160.58/160.83 (define @t129 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 160.58/160.83 (define @t130 () (= tptp.xG @t129)) % 160.58/160.83 (define @t131 () (tptp.aScalar0 tptp.xG)) % 160.58/160.83 (define @t132 () (tptp.sdtasdt0 tptp.xA tptp.xB)) % 160.58/160.83 (define @t133 () (= tptp.xH @t132)) % 160.58/160.83 (define @t134 () (tptp.aScalar0 tptp.xH)) % 160.58/160.83 (define @t135 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 160.58/160.83 (define @t136 () (= tptp.xR @t135)) % 160.58/160.83 (define @t137 () (tptp.aScalar0 tptp.xR)) % 160.58/160.83 (define @t138 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 160.58/160.83 (define @t139 () (= tptp.xS @t138)) % 160.58/160.83 (define @t140 () (tptp.aScalar0 tptp.xS)) % 160.58/160.83 (define @t141 () (tptp.sdtasdt0 tptp.xC tptp.xD)) % 160.58/160.83 (define @t142 () (tptp.sdtasdt0 tptp.xE tptp.xE)) % 160.58/160.83 (define @t143 () (tptp.sdtlseqdt0 @t142 @t141)) % 160.58/160.83 (define @t144 () (tptp.sdtpldt0 tptp.xD tptp.xG)) % 160.58/160.83 (define @t145 () (tptp.sdtpldt0 tptp.xC tptp.xF)) % 160.58/160.83 (define @t146 () (tptp.sdtasdt0 @t145 @t144)) % 160.58/160.83 (define @t147 () (tptp.sdtpldt0 tptp.xE tptp.xH)) % 160.58/160.83 (define @t148 () (tptp.sdtasdt0 @t147 @t147)) % 160.58/160.83 (define @t149 () (tptp.sdtlseqdt0 @t148 @t146)) % 160.58/160.83 (define @t150 () (not @t149)) % 160.58/160.83 (define @t151 () (not @t16)) % 160.58/160.83 (define @t152 () (not @t12)) % 160.58/160.83 (define @t153 () (or @t152 @t151)) % 160.58/160.83 (define @t154 () (not @t17)) % 160.58/160.83 (define @t155 () (not @t70)) % 160.58/160.83 (define @t156 () (not @t62)) % 160.58/160.83 (define @t157 () (not @t49)) % 160.58/160.83 (define @t158 () (not @t40)) % 160.58/160.83 (define @t159 () (or @t156 @t155 @t69)) % 160.58/160.83 (define @t160 () (or @t152 @t151 @t158 @t157)) % 160.58/160.83 (define @t161 () (not @t50)) % 160.58/160.83 (define @t162 () (tptp.smndt0 @t113)) % 160.58/160.83 (define @t163 () (= tptp.sz0z00 @t25)) % 160.58/160.83 (define @t164 () (and (= @t1 @t32) (= @t1 @t31) (= tptp.sz0z00 @t30) (= tptp.sz0z00 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= @t1 @t26) @t163)) % 160.58/160.83 (define @t165 () (@list @t162)) % 160.58/160.83 (define @t166 () (@list @t113)) % 160.58/160.83 (define @t167 () (tptp.aScalar0 @t162)) % 160.58/160.83 (define @t168 () (tptp.aScalar0 @t113)) % 160.58/160.83 (define @t169 () (not @t168)) % 160.58/160.83 (define @t170 () (or @t169 @t167)) % 160.58/160.83 (define @t171 () (@list false false)) % 160.58/160.83 (define @t172 () (tptp.smndt0 @t162)) % 160.58/160.83 (define @t173 () (tptp.sdtasdt0 tptp.sz0z00 @t162)) % 160.58/160.83 (define @t174 () (tptp.sdtasdt0 @t162 tptp.sz0z00)) % 160.58/160.83 (define @t175 () (tptp.sdtpldt0 tptp.sz0z00 @t162)) % 160.58/160.83 (define @t176 () (= @t162 @t175)) % 160.58/160.83 (define @t177 () (and (= @t162 (tptp.sdtpldt0 @t162 tptp.sz0z00)) @t176 (= tptp.sz0z00 @t174) (= tptp.sz0z00 @t173) (= tptp.sz0z00 (tptp.sdtpldt0 @t162 @t172)) (= tptp.sz0z00 (tptp.sdtpldt0 @t172 @t162)) (= @t162 (tptp.smndt0 @t172)) @t163)) % 160.58/160.83 (define @t178 () (not @t167)) % 160.58/160.83 (define @t179 () (or @t178 @t177)) % 160.58/160.83 (define @t180 () (@list false)) % 160.58/160.83 (define @t181 () (not @t75)) % 160.58/160.83 (define @t182 () (or @t156 @t181 @t155 @t74)) % 160.58/160.83 (define @t183 () (or @t156 @t181 @t155)) % 160.58/160.83 (define @t184 () (not @t90)) % 160.58/160.83 (define @t185 () (not @t82)) % 160.58/160.83 (define @t186 () (not @t83)) % 160.58/160.83 (define @t187 () (or @t152 @t151 @t186 @t185 @t184 @t9)) % 160.58/160.83 (define @t188 () (or @t186 @t185 @t184 @t9)) % 160.58/160.83 (define @t189 () (or @t186 @t185 @t184)) % 160.58/160.83 (define @t190 () (tptp.sdtasdt0 @t113 @t115)) % 160.58/160.83 (define @t191 () (tptp.smndt0 @t190)) % 160.58/160.83 (define @t192 () (not @t65)) % 160.58/160.83 (define @t193 () (or @t156 @t192 @t9)) % 160.58/160.83 (define @t194 () (tptp.sdtasdt0 @t190 @t190)) % 160.58/160.83 (define @t195 () (@list @t190)) % 160.58/160.83 (define @t196 () (tptp.smndt0 @t191)) % 160.58/160.83 (define @t197 () (= @t190 @t196)) % 160.58/160.83 (define @t198 () (tptp.sdtpldt0 @t191 @t190)) % 160.58/160.83 (define @t199 () (= tptp.sz0z00 @t198)) % 160.58/160.83 (define @t200 () (tptp.sdtpldt0 @t190 @t191)) % 160.58/160.83 (define @t201 () (= tptp.sz0z00 @t200)) % 160.58/160.83 (define @t202 () (tptp.sdtasdt0 @t190 tptp.sz0z00)) % 160.58/160.83 (define @t203 () (= tptp.sz0z00 @t202)) % 160.58/160.83 (define @t204 () (tptp.sdtpldt0 @t190 tptp.sz0z00)) % 160.58/160.83 (define @t205 () (= @t190 @t204)) % 160.58/160.83 (define @t206 () (and @t205 (= @t190 (tptp.sdtpldt0 tptp.sz0z00 @t190)) @t203 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t190)) @t201 @t199 @t197 @t163)) % 160.58/160.83 (define @t207 () (tptp.aScalar0 @t190)) % 160.58/160.83 (define @t208 () (not @t207)) % 160.58/160.83 (define @t209 () (or @t208 @t206)) % 160.58/160.83 (define @t210 () (not @t206)) % 160.58/160.83 (define @t211 () (@list @t206)) % 160.58/160.83 (define @t212 () (= @t19 @t59)) % 160.58/160.83 (define @t213 () (tptp.aScalar0 @t191)) % 160.58/160.83 (define @t214 () (or @t208 @t213)) % 160.58/160.83 (define @t215 () (tptp.sdtasdt0 @t196 @t196)) % 160.58/160.83 (define @t216 () (tptp.sdtasdt0 @t191 @t191)) % 160.58/160.83 (define @t217 () (= @t216 @t215)) % 160.58/160.83 (define @t218 () (not @t213)) % 160.58/160.83 (define @t219 () (or @t218 @t218 @t217)) % 160.58/160.83 (define @t220 () (tptp.sdtlseqdt0 @t194 @t202)) % 160.58/160.83 (define @t221 () (not @t220)) % 160.58/160.83 (define @t222 () (tptp.sdtlseqdt0 @t194 tptp.sz0z00)) % 160.58/160.83 (define @t223 () (not @t217)) % 160.58/160.83 (define @t224 () (not @t197)) % 160.58/160.83 (define @t225 () (not @t203)) % 160.58/160.83 (define @t226 () (not @t222)) % 160.58/160.83 (define @t227 () (not @t226)) % 160.58/160.83 (define @t228 () (tptp.sdtlseqdt0 @t216 @t202)) % 160.58/160.83 (define @t229 () (and @t203 @t197 @t217 @t226)) % 160.58/160.83 (define @t230 () (@list tptp.sz0z00)) % 160.58/160.83 (define @t231 () (tptp.sdtlseqdt0 tptp.sz0z00 tptp.sz0z00)) % 160.58/160.83 (define @t232 () (not @t13)) % 160.58/160.83 (define @t233 () (or @t232 @t231)) % 160.58/160.83 (define @t234 () (@list @t115)) % 160.58/160.83 (define @t235 () (tptp.sdtlseqdt0 @t115 @t115)) % 160.58/160.83 (define @t236 () (tptp.aScalar0 @t115)) % 160.58/160.83 (define @t237 () (not @t236)) % 160.58/160.83 (define @t238 () (or @t237 @t235)) % 160.58/160.83 (define @t239 () (tptp.sdtasdt0 @t115 @t113)) % 160.58/160.83 (define @t240 () (tptp.sdtasdt0 @t115 tptp.sz0z00)) % 160.58/160.83 (define @t241 () (tptp.sdtlseqdt0 @t240 @t239)) % 160.58/160.83 (define @t242 () (tptp.sdtlseqdt0 tptp.sz0z00 @t113)) % 160.58/160.83 (define @t243 () (not @t242)) % 160.58/160.83 (define @t244 () (not @t231)) % 160.58/160.83 (define @t245 () (not @t235)) % 160.58/160.83 (define @t246 () (or @t237 @t237 @t232 @t169 @t245 @t244 @t243 @t241)) % 160.58/160.83 (define @t247 () (tptp.smndt0 @t115)) % 160.58/160.83 (define @t248 () (= tptp.sz0z00 @t240)) % 160.58/160.83 (define @t249 () (and (= @t115 (tptp.sdtpldt0 @t115 tptp.sz0z00)) (= @t115 (tptp.sdtpldt0 tptp.sz0z00 @t115)) @t248 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t115)) (= tptp.sz0z00 (tptp.sdtpldt0 @t115 @t247)) (= tptp.sz0z00 (tptp.sdtpldt0 @t247 @t115)) (= @t115 (tptp.smndt0 @t247)) @t163)) % 160.58/160.83 (define @t250 () (or @t237 @t249)) % 160.58/160.83 (define @t251 () (or @t152 @t151 @t158)) % 160.58/160.83 (define @t252 () (not @t41)) % 160.58/160.83 (define @t253 () (tptp.sdtasasdt0 @t110 @t110)) % 160.58/160.83 (define @t254 () (= @t190 @t239)) % 160.58/160.83 (define @t255 () (tptp.sdtpldt0 @t113 @t115)) % 160.58/160.83 (define @t256 () (and (= (tptp.sdtpldt0 @t255 @t253) (tptp.sdtpldt0 @t113 (tptp.sdtpldt0 @t115 @t253))) (= @t255 (tptp.sdtpldt0 @t115 @t113)) (= (tptp.sdtasdt0 @t190 @t253) (tptp.sdtasdt0 @t113 (tptp.sdtasdt0 @t115 @t253))) @t254)) % 160.58/160.83 (define @t257 () (tptp.aScalar0 @t253)) % 160.58/160.83 (define @t258 () (not @t257)) % 160.58/160.83 (define @t259 () (or @t169 @t237 @t258 @t256)) % 160.58/160.83 (define @t260 () (@list false false false false)) % 160.58/160.83 (define @t261 () (tptp.sdtlseqdt0 tptp.sz0z00 @t190)) % 160.58/160.83 (define @t262 () (and @t248 @t254 @t241)) % 160.58/160.83 (define @t263 () (not @t241)) % 160.58/160.83 (define @t264 () (not @t254)) % 160.58/160.83 (define @t265 () (not @t248)) % 160.58/160.83 (define @t266 () (tptp.sdtlseqdt0 @t190 @t190)) % 160.58/160.83 (define @t267 () (or @t208 @t266)) % 160.58/160.83 (define @t268 () (tptp.sdtlseqdt0 @t190 tptp.sz0z00)) % 160.58/160.83 (define @t269 () (not @t268)) % 160.58/160.83 (define @t270 () (not @t261)) % 160.58/160.83 (define @t271 () (not @t266)) % 160.58/160.83 (define @t272 () (or @t208 @t208 @t208 @t232 @t271 @t270 @t269 @t220)) % 160.58/160.83 (define @t273 () (= @t113 @t172)) % 160.58/160.83 (define @t274 () (tptp.sdtpldt0 @t113 @t162)) % 160.58/160.83 (define @t275 () (= tptp.sz0z00 @t274)) % 160.58/160.83 (define @t276 () (tptp.sdtasdt0 tptp.sz0z00 @t113)) % 160.58/160.83 (define @t277 () (= tptp.sz0z00 @t276)) % 160.58/160.83 (define @t278 () (tptp.sdtasdt0 @t113 tptp.sz0z00)) % 160.58/160.83 (define @t279 () (= tptp.sz0z00 @t278)) % 160.58/160.83 (define @t280 () (and (= @t113 (tptp.sdtpldt0 @t113 tptp.sz0z00)) (= @t113 (tptp.sdtpldt0 tptp.sz0z00 @t113)) @t279 @t277 @t275 (= tptp.sz0z00 (tptp.sdtpldt0 @t162 @t113)) @t273 @t163)) % 160.58/160.83 (define @t281 () (or @t169 @t280)) % 160.58/160.83 (define @t282 () (not @t280)) % 160.58/160.83 (define @t283 () (@list @t280)) % 160.58/160.83 (define @t284 () (tptp.sdtlseqdt0 @t239 @t276)) % 160.58/160.83 (define @t285 () (not @t284)) % 160.58/160.83 (define @t286 () (not @t277)) % 160.58/160.83 (define @t287 () (not @t269)) % 160.58/160.83 (define @t288 () (and @t277 @t254 @t269)) % 160.58/160.83 (define @t289 () (tptp.sdtlseqdt0 @t113 @t113)) % 160.58/160.83 (define @t290 () (or @t169 @t289)) % 160.58/160.83 (define @t291 () (not @t289)) % 160.58/160.83 (define @t292 () (tptp.sdtlseqdt0 @t115 tptp.sz0z00)) % 160.58/160.83 (define @t293 () (not @t292)) % 160.58/160.83 (define @t294 () (or @t237 @t232 @t169 @t169 @t293 @t243 @t291 @t284)) % 160.58/160.83 (define @t295 () (tptp.sdtlseqdt0 tptp.sz0z00 @t115)) % 160.58/160.83 (define @t296 () (or @t232 @t237 @t295 @t292)) % 160.58/160.83 (define @t297 () (tptp.sdtlseqdt0 @t162 @t162)) % 160.58/160.83 (define @t298 () (or @t178 @t297)) % 160.58/160.83 (define @t299 () (tptp.sdtasdt0 @t162 @t115)) % 160.58/160.83 (define @t300 () (tptp.sdtlseqdt0 @t174 @t299)) % 160.58/160.83 (define @t301 () (not @t295)) % 160.58/160.83 (define @t302 () (not @t297)) % 160.58/160.83 (define @t303 () (or @t178 @t178 @t232 @t237 @t302 @t244 @t301 @t300)) % 160.58/160.83 (define @t304 () (tptp.sdtlseqdt0 @t204 @t200)) % 160.58/160.83 (define @t305 () (not @t304)) % 160.58/160.83 (define @t306 () (not @t201)) % 160.58/160.83 (define @t307 () (not @t205)) % 160.58/160.83 (define @t308 () (and @t205 @t201 @t269)) % 160.58/160.83 (define @t309 () (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00)) % 160.58/160.83 (define @t310 () (= tptp.sz0z00 @t309)) % 160.58/160.83 (define @t311 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 160.58/160.83 (define @t312 () (and @t311 @t311 @t310 @t310 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t25)) (= tptp.sz0z00 (tptp.sdtpldt0 @t25 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t25)) @t163)) % 160.58/160.83 (define @t313 () (or @t232 @t312)) % 160.58/160.83 (define @t314 () (not @t312)) % 160.58/160.83 (define @t315 () (@list @t312)) % 160.58/160.83 (define @t316 () (tptp.sdtasdt0 @t172 @t25)) % 160.58/160.83 (define @t317 () (= @t174 @t316)) % 160.58/160.83 (define @t318 () (or @t178 @t232 @t317)) % 160.58/160.83 (define @t319 () (@list false false false)) % 160.58/160.83 (define @t320 () (and (= @t52 @t55) (= @t52 @t53))) % 160.58/160.83 (define @t321 () (or @t152 @t151 @t320)) % 160.58/160.83 (define @t322 () (= @t191 @t299)) % 160.58/160.83 (define @t323 () (and (= @t191 (tptp.sdtasdt0 @t113 @t247)) @t322)) % 160.58/160.83 (define @t324 () (or @t169 @t237 @t323)) % 160.58/160.83 (define @t325 () (tptp.sdtlseqdt0 tptp.sz0z00 @t191)) % 160.58/160.83 (define @t326 () (and @t163 @t310 @t279 @t273 @t322 @t317 @t300)) % 160.58/160.83 (define @t327 () (not @t317)) % 160.58/160.83 (define @t328 () (not @t273)) % 160.58/160.83 (define @t329 () (not @t279)) % 160.58/160.83 (define @t330 () (not @t163)) % 160.58/160.83 (define @t331 () (not @t310)) % 160.58/160.83 (define @t332 () (not @t325)) % 160.58/160.83 (define @t333 () (or @t208 @t208 @t232 @t218 @t271 @t332 @t304)) % 160.58/160.83 (define @t334 () (tptp.sdtlseqdt0 @t113 tptp.sz0z00)) % 160.58/160.83 (define @t335 () (or @t169 @t232 @t334 @t242)) % 160.58/160.83 (define @t336 () (tptp.sdtlseqdt0 @t274 @t175)) % 160.58/160.83 (define @t337 () (not @t334)) % 160.58/160.83 (define @t338 () (or @t169 @t232 @t178 @t178 @t337 @t302 @t336)) % 160.58/160.83 (define @t339 () (not @t336)) % 160.58/160.83 (define @t340 () (tptp.sdtlseqdt0 tptp.sz0z00 @t162)) % 160.58/160.83 (define @t341 () (not @t176)) % 160.58/160.83 (define @t342 () (not @t275)) % 160.58/160.83 (define @t343 () (not @t340)) % 160.58/160.83 (define @t344 () (and @t275 @t176 @t343)) % 160.58/160.83 (define @t345 () (tptp.sdtasdt0 @t115 @t162)) % 160.58/160.83 (define @t346 () (tptp.sdtlseqdt0 @t240 @t345)) % 160.58/160.83 (define @t347 () (or @t237 @t237 @t232 @t178 @t245 @t244 @t343 @t346)) % 160.58/160.83 (define @t348 () (tptp.smndt0 @t239)) % 160.58/160.83 (define @t349 () (tptp.sdtasdt0 @t247 @t113)) % 160.58/160.83 (define @t350 () (and (= @t348 @t345) (= @t348 @t349))) % 160.58/160.83 (define @t351 () (or @t237 @t169 @t350)) % 160.58/160.83 (define @t352 () (forall @t11 @t321)) % 160.58/160.83 (define @t353 () (= @t345 @t348)) % 160.58/160.83 (define @t354 () (and @t353 (= @t349 @t348))) % 160.58/160.83 (define @t355 () (or @t237 @t169 @t354)) % 160.58/160.83 (define @t356 () (and @t248 @t254 @t353 @t346)) % 160.58/160.83 (define @t357 () (not @t346)) % 160.58/160.83 (define @t358 () (not @t353)) % 160.58/160.83 (define @t359 () (tptp.sdtlseqdt0 @t216 @t309)) % 160.58/160.83 (define @t360 () (not @t359)) % 160.58/160.83 (define @t361 () (and @t310 @t203 @t197 @t217 @t226)) % 160.58/160.83 (define @t362 () (tptp.sdtlseqdt0 @t278 @t190)) % 160.58/160.83 (define @t363 () (not @t362)) % 160.58/160.83 (define @t364 () (and @t279 @t270)) % 160.58/160.83 (define @t365 () (tptp.sdtlseqdt0 @t345 @t173)) % 160.58/160.83 (define @t366 () (or @t237 @t232 @t178 @t178 @t293 @t343 @t302 @t365)) % 160.58/160.83 (define @t367 () (= @t173 (tptp.sdtasdt0 @t25 @t172))) % 160.58/160.83 (define @t368 () (or @t232 @t178 @t367)) % 160.58/160.83 (define @t369 () (tptp.sdtlseqdt0 @t191 tptp.sz0z00)) % 160.58/160.83 (define @t370 () (and @t163 @t277 @t273 @t254 @t367 @t353 @t365)) % 160.58/160.83 (define @t371 () (not @t369)) % 160.58/160.83 (define @t372 () (or @t218 @t232 @t218 @t232 @t371 @t332 @t371 @t359)) % 160.58/160.83 (define @t373 () (or @t169 @t169 @t232 @t237 @t291 @t244 @t301 @t362)) % 160.58/160.83 (define @t374 () (tptp.aScalar0 @t194)) % 160.58/160.83 (define @t375 () (or @t208 @t208 @t374)) % 160.58/160.83 (define @t376 () (tptp.sdtlseqdt0 tptp.sz0z00 @t194)) % 160.58/160.83 (define @t377 () (or @t208 @t376)) % 160.58/160.83 (define @t378 () (= tptp.sz0z00 @t194)) % 160.58/160.83 (define @t379 () (not @t376)) % 160.58/160.83 (define @t380 () (not @t374)) % 160.58/160.83 (define @t381 () (or @t232 @t380 @t379 @t226 @t378)) % 160.58/160.83 (define @t382 () (@list false false false false false)) % 160.58/160.83 (define @t383 () (= @t309 @t216)) % 160.58/160.83 (define @t384 () (and @t310 @t197 @t217 @t378)) % 160.58/160.83 (define @t385 () (tptp.sdtasdt0 @t115 @t115)) % 160.58/160.83 (define @t386 () (tptp.sdtasdt0 @t253 @t385)) % 160.58/160.83 (define @t387 () (tptp.sdtasasdt0 @t112 @t112)) % 160.58/160.83 (define @t388 () (tptp.sdtasdt0 @t253 @t387)) % 160.58/160.83 (define @t389 () (tptp.sdtasasdt0 @t110 @t112)) % 160.58/160.83 (define @t390 () (tptp.sdtpldt0 @t389 @t190)) % 160.58/160.83 (define @t391 () (tptp.sdtasdt0 @t390 @t390)) % 160.58/160.83 (define @t392 () (tptp.sdtasdt0 @t113 @t113)) % 160.58/160.83 (define @t393 () (tptp.sdtpldt0 @t253 @t392)) % 160.58/160.83 (define @t394 () (tptp.aScalar0 @t393)) % 160.58/160.83 (define @t395 () (tptp.aScalar0 @t392)) % 160.58/160.83 (define @t396 () (not @t395)) % 160.58/160.83 (define @t397 () (or @t258 @t396 @t394)) % 160.58/160.83 (define @t398 () (tptp.sdtasdt0 @t393 @t385)) % 160.58/160.83 (define @t399 () (= @t398 (tptp.sdtasdt0 @t385 @t393))) % 160.58/160.83 (define @t400 () (tptp.sdtasdt0 @t385 @t253)) % 160.58/160.83 (define @t401 () (tptp.sdtpldt0 @t393 @t385)) % 160.58/160.83 (define @t402 () (tptp.sdtpldt0 @t385 @t253)) % 160.58/160.83 (define @t403 () (and (= (tptp.sdtpldt0 @t401 @t253) (tptp.sdtpldt0 @t393 @t402)) (= @t401 (tptp.sdtpldt0 @t385 @t393)) (= (tptp.sdtasdt0 @t398 @t253) (tptp.sdtasdt0 @t393 @t400)) @t399)) % 160.58/160.83 (define @t404 () (tptp.aScalar0 @t385)) % 160.58/160.83 (define @t405 () (not @t404)) % 160.58/160.83 (define @t406 () (not @t394)) % 160.58/160.83 (define @t407 () (or @t406 @t405 @t258 @t403)) % 160.58/160.83 (define @t408 () (tptp.aScalar0 @t390)) % 160.58/160.83 (define @t409 () (tptp.aScalar0 @t389)) % 160.58/160.83 (define @t410 () (not @t409)) % 160.58/160.83 (define @t411 () (or @t410 @t208 @t408)) % 160.58/160.83 (define @t412 () (tptp.aScalar0 @t391)) % 160.58/160.83 (define @t413 () (not @t408)) % 160.58/160.83 (define @t414 () (or @t413 @t413 @t412)) % 160.58/160.83 (define @t415 () (tptp.smndt0 @t391)) % 160.58/160.83 (define @t416 () (tptp.sdtpldt0 @t391 tptp.sz0z00)) % 160.58/160.83 (define @t417 () (= @t391 @t416)) % 160.58/160.83 (define @t418 () (and @t417 (= @t391 (tptp.sdtpldt0 tptp.sz0z00 @t391)) (= tptp.sz0z00 (tptp.sdtasdt0 @t391 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t391)) (= tptp.sz0z00 (tptp.sdtpldt0 @t391 @t415)) (= tptp.sz0z00 (tptp.sdtpldt0 @t415 @t391)) (= @t391 (tptp.smndt0 @t415)) @t163)) % 160.58/160.83 (define @t419 () (not @t412)) % 160.58/160.83 (define @t420 () (or @t419 @t418)) % 160.58/160.83 (define @t421 () (tptp.sdtasdt0 @t392 @t392)) % 160.58/160.83 (define @t422 () (not (= @t421 @t309))) % 160.58/160.83 (define @t423 () (tptp.sdtlseqdt0 tptp.sz0z00 @t392)) % 160.58/160.83 (define @t424 () (not @t423)) % 160.58/160.83 (define @t425 () (or @t396 @t232 @t424 @t244 @t422 (= @t392 tptp.sz0z00))) % 160.58/160.83 (define @t426 () (forall @t11 @t187)) % 160.58/160.83 (define @t427 () (= tptp.sz0z00 @t392)) % 160.58/160.83 (define @t428 () (= @t309 @t421)) % 160.58/160.83 (define @t429 () (not @t428)) % 160.58/160.83 (define @t430 () (or @t396 @t232 @t424 @t244 @t429 @t427)) % 160.58/160.83 (define @t431 () (@list @t426)) % 160.58/160.83 (define @t432 () (tptp.smndt0 @t392)) % 160.58/160.83 (define @t433 () (tptp.sdtasdt0 @t162 @t113)) % 160.58/160.83 (define @t434 () (= @t432 @t433)) % 160.58/160.83 (define @t435 () (tptp.sdtasdt0 @t113 @t162)) % 160.58/160.83 (define @t436 () (= @t432 @t435)) % 160.58/160.83 (define @t437 () (and @t436 @t434)) % 160.58/160.83 (define @t438 () (or @t169 @t169 @t437)) % 160.58/160.83 (define @t439 () (not @t437)) % 160.58/160.83 (define @t440 () (@list @t437)) % 160.58/160.83 (define @t441 () (tptp.sdtlseqdt0 @t278 @t435)) % 160.58/160.83 (define @t442 () (not @t441)) % 160.58/160.83 (define @t443 () (tptp.sdtlseqdt0 tptp.sz0z00 @t432)) % 160.58/160.83 (define @t444 () (not @t436)) % 160.58/160.83 (define @t445 () (not @t443)) % 160.58/160.83 (define @t446 () (not @t445)) % 160.58/160.83 (define @t447 () (and @t279 @t436 @t445)) % 160.58/160.83 (define @t448 () (or @t169 @t169 @t232 @t178 @t291 @t244 @t343 @t441)) % 160.58/160.83 (define @t449 () (tptp.sdtlseqdt0 @t174 @t433)) % 160.58/160.83 (define @t450 () (or @t178 @t178 @t232 @t169 @t302 @t244 @t243 @t449)) % 160.58/160.83 (define @t451 () (not @t449)) % 160.58/160.83 (define @t452 () (not @t434)) % 160.58/160.83 (define @t453 () (and @t163 @t310 @t279 @t273 @t434 @t317 @t445)) % 160.58/160.83 (define @t454 () (@list @t392)) % 160.58/160.83 (define @t455 () (tptp.aScalar0 @t432)) % 160.58/160.83 (define @t456 () (or @t396 @t455)) % 160.58/160.83 (define @t457 () (tptp.sdtlseqdt0 @t392 @t392)) % 160.58/160.83 (define @t458 () (or @t396 @t457)) % 160.58/160.83 (define @t459 () (tptp.sdtpldt0 @t392 @t432)) % 160.58/160.83 (define @t460 () (tptp.sdtpldt0 @t392 tptp.sz0z00)) % 160.58/160.83 (define @t461 () (tptp.sdtlseqdt0 @t460 @t459)) % 160.58/160.83 (define @t462 () (not @t457)) % 160.58/160.83 (define @t463 () (not @t455)) % 160.58/160.83 (define @t464 () (or @t396 @t396 @t232 @t463 @t462 @t445 @t461)) % 160.58/160.83 (define @t465 () (@list false false false false false false)) % 160.58/160.83 (define @t466 () (= tptp.sz0z00 @t459)) % 160.58/160.83 (define @t467 () (tptp.sdtasdt0 @t392 tptp.sz0z00)) % 160.58/160.83 (define @t468 () (= tptp.sz0z00 @t467)) % 160.58/160.83 (define @t469 () (= @t392 @t460)) % 160.58/160.83 (define @t470 () (and @t469 (= @t392 (tptp.sdtpldt0 tptp.sz0z00 @t392)) @t468 (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t392)) @t466 (= tptp.sz0z00 (tptp.sdtpldt0 @t432 @t392)) (= @t392 (tptp.smndt0 @t432)) @t163)) % 160.58/160.83 (define @t471 () (or @t396 @t470)) % 160.58/160.83 (define @t472 () (not @t470)) % 160.58/160.83 (define @t473 () (@list @t470)) % 160.58/160.83 (define @t474 () (tptp.sdtlseqdt0 @t392 tptp.sz0z00)) % 160.58/160.83 (define @t475 () (and @t469 @t466 @t461)) % 160.58/160.83 (define @t476 () (not @t469)) % 160.58/160.83 (define @t477 () (or @t169 @t423)) % 160.58/160.83 (define @t478 () (tptp.sdtlseqdt0 @t421 @t467)) % 160.58/160.83 (define @t479 () (not @t474)) % 160.58/160.83 (define @t480 () (or @t396 @t396 @t396 @t232 @t462 @t424 @t479 @t478)) % 160.58/160.83 (define @t481 () (tptp.sdtlseqdt0 @t421 tptp.sz0z00)) % 160.58/160.83 (define @t482 () (and @t468 @t478)) % 160.58/160.83 (define @t483 () (tptp.aScalar0 @t421)) % 160.58/160.83 (define @t484 () (or @t396 @t396 @t483)) % 160.58/160.83 (define @t485 () (tptp.sdtlseqdt0 tptp.sz0z00 @t421)) % 160.58/160.83 (define @t486 () (or @t396 @t485)) % 160.58/160.83 (define @t487 () (= tptp.sz0z00 @t421)) % 160.58/160.83 (define @t488 () (not @t481)) % 160.58/160.83 (define @t489 () (not @t485)) % 160.58/160.83 (define @t490 () (not @t483)) % 160.58/160.83 (define @t491 () (or @t232 @t490 @t489 @t488 @t487)) % 160.58/160.83 (define @t492 () (and @t310 @t487)) % 160.58/160.83 (define @t493 () (tptp.sdtasdt0 @t393 (tptp.sdtpldt0 @t387 @t385))) % 160.58/160.83 (define @t494 () (= @t493 (tptp.sdtpldt0 (tptp.sdtasdt0 @t393 @t387) @t398))) % 160.58/160.83 (define @t495 () (and @t494 (= (tptp.sdtasdt0 (tptp.sdtpldt0 @t393 @t387) @t385) (tptp.sdtpldt0 @t398 (tptp.sdtasdt0 @t387 @t385))))) % 160.58/160.83 (define @t496 () (tptp.aScalar0 @t387)) % 160.58/160.83 (define @t497 () (not @t496)) % 160.58/160.83 (define @t498 () (or @t406 @t497 @t405 @t495)) % 160.58/160.83 (define @t499 () (tptp.sdtasdt0 @t392 @t387)) % 160.58/160.83 (define @t500 () (= @t386 @t400)) % 160.58/160.83 (define @t501 () (tptp.sdtpldt0 @t253 @t385)) % 160.58/160.83 (define @t502 () (and (= (tptp.sdtpldt0 @t501 @t499) (tptp.sdtpldt0 @t253 (tptp.sdtpldt0 @t385 @t499))) (= @t501 @t402) (= (tptp.sdtasdt0 @t386 @t499) (tptp.sdtasdt0 @t253 (tptp.sdtasdt0 @t385 @t499))) @t500)) % 160.58/160.83 (define @t503 () (tptp.aScalar0 @t499)) % 160.58/160.83 (define @t504 () (not @t503)) % 160.58/160.83 (define @t505 () (or @t258 @t405 @t504 @t502)) % 160.58/160.83 (define @t506 () (tptp.smndt0 @t253)) % 160.58/160.83 (define @t507 () (tptp.sdtpldt0 @t253 tptp.sz0z00)) % 160.58/160.83 (define @t508 () (= @t253 @t507)) % 160.58/160.83 (define @t509 () (and @t508 (= @t253 (tptp.sdtpldt0 tptp.sz0z00 @t253)) (= tptp.sz0z00 (tptp.sdtasdt0 @t253 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t253)) (= tptp.sz0z00 (tptp.sdtpldt0 @t253 @t506)) (= tptp.sz0z00 (tptp.sdtpldt0 @t506 @t253)) (= @t253 (tptp.smndt0 @t506)) @t163)) % 160.58/160.83 (define @t510 () (or @t258 @t509)) % 160.58/160.83 (define @t511 () (tptp.sdtpldt0 @t388 @t386)) % 160.58/160.83 (define @t512 () (tptp.sdtlseqdt0 @t416 @t511)) % 160.58/160.83 (define @t513 () (not @t512)) % 160.58/160.83 (define @t514 () (not @t399)) % 160.58/160.83 (define @t515 () (not @t417)) % 160.58/160.83 (define @t516 () (not @t427)) % 160.58/160.83 (define @t517 () (not @t494)) % 160.58/160.83 (define @t518 () (not @t500)) % 160.58/160.83 (define @t519 () (not @t508)) % 160.58/160.83 (define @t520 () (tptp.sdtlseqdt0 @t391 @t493)) % 160.58/160.83 (define @t521 () (not @t520)) % 160.58/160.83 (define @t522 () (and @t521 @t508 @t500 @t494 @t427 @t417 @t399)) % 160.58/160.83 (define @t523 () (or @t186 @t185 @t81)) % 160.58/160.83 (define @t524 () (tptp.sdtlseqdt0 tptp.sz0z00 @t385)) % 160.58/160.83 (define @t525 () (or @t237 @t524)) % 160.58/160.83 (define @t526 () (tptp.sdtlseqdt0 tptp.sz0z00 @t253)) % 160.58/160.83 (define @t527 () (tptp.aVector0 @t110)) % 160.58/160.83 (define @t528 () (not @t527)) % 160.58/160.83 (define @t529 () (or @t528 @t526)) % 160.58/160.83 (define @t530 () (tptp.sdtlseqdt0 tptp.sz0z00 @t386)) % 160.58/160.83 (define @t531 () (and (tptp.sdtlseqdt0 tptp.sz0z00 @t501) @t530)) % 160.58/160.83 (define @t532 () (not @t524)) % 160.58/160.83 (define @t533 () (not @t526)) % 160.58/160.83 (define @t534 () (or @t258 @t405 @t533 @t532 @t531)) % 160.58/160.83 (define @t535 () (tptp.aScalar0 @t388)) % 160.58/160.83 (define @t536 () (or @t258 @t497 @t535)) % 160.58/160.83 (define @t537 () (not @t530)) % 160.58/160.83 (define @t538 () (tptp.sdtlseqdt0 @t391 @t388)) % 160.58/160.83 (define @t539 () (not @t538)) % 160.58/160.83 (define @t540 () (tptp.aScalar0 @t386)) % 160.58/160.83 (define @t541 () (not @t540)) % 160.58/160.83 (define @t542 () (not @t535)) % 160.58/160.83 (define @t543 () (or @t419 @t542 @t232 @t541 @t539 @t537 @t512)) % 160.58/160.83 (define @t544 () (@list false false false false false true false)) % 160.58/160.83 (define @t545 () (tptp.sdtasdt0 @t389 @t190)) % 160.58/160.83 (define @t546 () (= @t545 (tptp.sdtasdt0 @t190 @t389))) % 160.58/160.83 (define @t547 () (tptp.sdtpldt0 @t190 @t389)) % 160.58/160.83 (define @t548 () (= @t390 @t547)) % 160.58/160.83 (define @t549 () (tptp.sdtpldt0 @t390 @t191)) % 160.58/160.83 (define @t550 () (= @t549 (tptp.sdtpldt0 @t389 @t200))) % 160.58/160.83 (define @t551 () (and @t550 @t548 (= (tptp.sdtasdt0 @t545 @t191) (tptp.sdtasdt0 @t389 (tptp.sdtasdt0 @t190 @t191))) @t546)) % 160.58/160.83 (define @t552 () (or @t410 @t208 @t218 @t551)) % 160.58/160.83 (define @t553 () (tptp.sdtpldt0 @t389 @t204)) % 160.58/160.83 (define @t554 () (= (tptp.sdtpldt0 @t390 tptp.sz0z00) @t553)) % 160.58/160.83 (define @t555 () (and @t554 @t548 (= (tptp.sdtasdt0 @t545 tptp.sz0z00) (tptp.sdtasdt0 @t389 @t202)) @t546)) % 160.58/160.83 (define @t556 () (or @t410 @t208 @t232 @t555)) % 160.58/160.83 (define @t557 () (tptp.sdtasdt0 @t390 @t389)) % 160.58/160.83 (define @t558 () (= @t557 (tptp.sdtasdt0 @t389 @t390))) % 160.58/160.83 (define @t559 () (tptp.sdtpldt0 @t390 @t389)) % 160.58/160.83 (define @t560 () (and (= (tptp.sdtpldt0 @t559 @t191) (tptp.sdtpldt0 @t390 (tptp.sdtpldt0 @t389 @t191))) (= @t559 (tptp.sdtpldt0 @t389 @t390)) (= (tptp.sdtasdt0 @t557 @t191) (tptp.sdtasdt0 @t390 (tptp.sdtasdt0 @t389 @t191))) @t558)) % 160.58/160.83 (define @t561 () (or @t413 @t410 @t218 @t560)) % 160.58/160.83 (define @t562 () (and (= (tptp.sdtpldt0 @t390 @t390) (tptp.sdtpldt0 @t389 (tptp.sdtpldt0 @t190 @t390))) @t548 (= (tptp.sdtasdt0 @t545 @t390) (tptp.sdtasdt0 @t389 (tptp.sdtasdt0 @t190 @t390))) @t546)) % 160.58/160.83 (define @t563 () (or @t410 @t208 @t413 @t562)) % 160.58/160.83 (define @t564 () (tptp.smndt0 @t389)) % 160.58/160.83 (define @t565 () (tptp.sdtpldt0 @t389 tptp.sz0z00)) % 160.58/160.83 (define @t566 () (= @t389 @t565)) % 160.58/160.83 (define @t567 () (and @t566 (= @t389 (tptp.sdtpldt0 tptp.sz0z00 @t389)) (= tptp.sz0z00 (tptp.sdtasdt0 @t389 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t389)) (= tptp.sz0z00 (tptp.sdtpldt0 @t389 @t564)) (= tptp.sz0z00 (tptp.sdtpldt0 @t564 @t389)) (= @t389 (tptp.smndt0 @t564)) @t163)) % 160.58/160.83 (define @t568 () (or @t410 @t567)) % 160.58/160.83 (define @t569 () (not @t550)) % 160.58/160.83 (define @t570 () (not @t554)) % 160.58/160.83 (define @t571 () (= tptp.sz0z00 @t191)) % 160.58/160.83 (define @t572 () (not @t571)) % 160.58/160.83 (define @t573 () (not @t558)) % 160.58/160.83 (define @t574 () (not @t548)) % 160.58/160.83 (define @t575 () (not @t199)) % 160.58/160.83 (define @t576 () (not @t566)) % 160.58/160.83 (define @t577 () (tptp.sdtasdt0 @t389 @t389)) % 160.58/160.83 (define @t578 () (tptp.sdtlseqdt0 @t577 @t388)) % 160.58/160.83 (define @t579 () (not @t578)) % 160.58/160.83 (define @t580 () (and @t539 @t548 @t205 @t554 @t199 @t571 @t550 @t201 @t566 @t558 @t578)) % 160.58/160.83 (define @t581 () (not @t383)) % 160.58/160.83 (define @t582 () (or @t232 @t218 @t244 @t332 @t581 @t571)) % 160.58/160.83 (define @t583 () (@list false false false true false false)) % 160.58/160.83 (define @t584 () (not (= @t194 @t309))) % 160.58/160.83 (define @t585 () (or @t208 @t232 @t270 @t244 @t584 (= @t190 tptp.sz0z00))) % 160.58/160.83 (define @t586 () (= tptp.sz0z00 @t190)) % 160.58/160.83 (define @t587 () (= @t309 @t194)) % 160.58/160.83 (define @t588 () (not @t587)) % 160.58/160.83 (define @t589 () (or @t208 @t232 @t270 @t244 @t588 @t586)) % 160.58/160.83 (define @t590 () (and @t310 @t378)) % 160.58/160.83 (define @t591 () (tptp.sdtasdt0 @t392 @t191)) % 160.58/160.83 (define @t592 () (tptp.sdtpldt0 @t392 @t191)) % 160.58/160.83 (define @t593 () (= @t592 (tptp.sdtpldt0 @t191 @t392))) % 160.58/160.83 (define @t594 () (tptp.sdtpldt0 @t392 @t198)) % 160.58/160.83 (define @t595 () (= (tptp.sdtpldt0 @t592 @t190) @t594)) % 160.58/160.83 (define @t596 () (and @t595 @t593 (= (tptp.sdtasdt0 @t591 @t190) (tptp.sdtasdt0 @t392 (tptp.sdtasdt0 @t191 @t190))) (= @t591 (tptp.sdtasdt0 @t191 @t392)))) % 160.58/160.83 (define @t597 () (or @t396 @t218 @t208 @t596)) % 160.58/160.83 (define @t598 () (not @t596)) % 160.58/160.83 (define @t599 () (@list @t596)) % 160.58/160.83 (define @t600 () (tptp.sdtpldt0 @t191 tptp.sz0z00)) % 160.58/160.83 (define @t601 () (= @t191 @t600)) % 160.58/160.83 (define @t602 () (and @t601 (= @t191 (tptp.sdtpldt0 tptp.sz0z00 @t191)) (= tptp.sz0z00 (tptp.sdtasdt0 @t191 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t191)) (= tptp.sz0z00 (tptp.sdtpldt0 @t191 @t196)) (= tptp.sz0z00 (tptp.sdtpldt0 @t196 @t191)) (= @t191 (tptp.smndt0 @t196)) @t163)) % 160.58/160.83 (define @t603 () (or @t218 @t602)) % 160.58/160.83 (define @t604 () (tptp.sdtlseqdt0 tptp.sz0z00 @t309)) % 160.58/160.83 (define @t605 () (or @t232 @t604)) % 160.58/160.83 (define @t606 () (and @t310 @t248 @t469 @t199 @t604 @t427 @t601 @t595 @t593 @t254 @t353 @t586)) % 160.58/160.83 (define @t607 () (not @t586)) % 160.58/160.83 (assume @p1 (forall @t3 (=> @t2 true))) % 160.58/160.83 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 160.58/160.83 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 160.58/160.83 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 160.58/160.83 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 160.58/160.83 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 160.58/160.83 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 160.58/160.83 (assume @p8 (forall @t3 (=> @t12 true))) % 160.58/160.83 (assume @p9 @t13) % 160.58/160.83 (assume @p10 @t18) % 160.58/160.83 (assume @p11 @t21) % 160.58/160.83 (assume @p12 @t24) % 160.58/160.83 (assume @p13 @t35) % 160.58/160.83 (assume @p14 @t43) % 160.58/160.83 (assume @p15 @t46) % 160.58/160.83 (assume @p16 (forall @t51 (=> @t50 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t36 @t47)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t44 (tptp.sdtasdt0 @t1 @t47)) (tptp.sdtpldt0 @t37 @t48)))))) % 160.58/160.83 (assume @p17 @t58) % 160.58/160.83 (assume @p18 @t61) % 160.58/160.83 (assume @p19 (forall @t11 (=> @t17 (=> @t62 true)))) % 160.58/160.83 (assume @p20 @t64) % 160.58/160.83 (assume @p21 @t68) % 160.58/160.83 (assume @p22 (forall @t42 (=> @t41 (=> (and @t62 (tptp.sdtlseqdt0 @t5 @t36)) (tptp.sdtlseqdt0 @t1 @t36))))) % 160.58/160.83 (assume @p23 @t73) % 160.58/160.83 (assume @p24 @t78) % 160.58/160.83 (assume @p25 @t80) % 160.58/160.83 (assume @p26 @t86) % 160.58/160.83 (assume @p27 @t89) % 160.58/160.83 (assume @p28 @t93) % 160.58/160.83 (assume @p29 (forall @t3 (=> @t94 true))) % 160.58/160.83 (assume @p30 (forall @t3 (=> @t94 (tptp.aNaturalNumber0 @t95)))) % 160.58/160.83 (assume @p31 (forall @t11 (=> (and @t94 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 160.58/160.83 (assume @p32 (forall @t3 (=> @t94 (=> (not (= @t95 tptp.sz00)) (forall @t8 (= (= @t5 @t98) (and @t97 (= (tptp.szszuzczcdt0 @t96) @t95) (forall (@list @t36) (=> (tptp.aNaturalNumber0 @t36) (= (tptp.sdtlbdtrb0 @t5 @t36) (tptp.sdtlbdtrb0 @t1 @t36))))))))))) % 160.58/160.83 (assume @p33 (forall @t11 (=> @t103 (=> @t102 (= (tptp.aDimensionOf0 @t98) (tptp.aDimensionOf0 @t99)))))) % 160.58/160.83 (assume @p34 (forall @t11 (=> @t103 (=> @t101 (tptp.aScalar0 @t104))))) % 160.58/160.83 (assume @p35 (forall @t11 (=> @t103 (=> (and @t101 @t100) (= @t104 tptp.sz0z00))))) % 160.58/160.83 (assume @p36 (forall @t11 (=> @t103 (=> @t102 (= @t104 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t98 @t99) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t95) (tptp.sdtlbdtrb0 @t5 @t96)))))))) % 160.58/160.83 (assume @p37 @t107) % 160.58/160.83 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 160.58/160.83 (assume @p39 (forall @t11 (=> @t103 (=> @t101 (=> (tptp.iLess0 @t95 @t108) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t104 @t104) (tptp.sdtasdt0 @t105 (tptp.sdtasasdt0 @t5 @t5)))))))) % 160.58/160.83 (assume @p40 (= @t108 @t109)) % 160.58/160.83 (assume @p41 (not (= @t108 tptp.sz00))) % 160.58/160.83 (assume @p42 (and @t111 (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t108) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t110))) % 160.58/160.83 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t109) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t112))) % 160.58/160.83 (assume @p44 (and @t114 (= tptp.xA @t113))) % 160.58/160.83 (assume @p45 (and @t116 (= tptp.xB @t115))) % 160.58/160.83 (assume @p46 (and @t119 @t118)) % 160.58/160.83 (assume @p47 (and @t122 @t121)) % 160.58/160.83 (assume @p48 (and @t125 @t124)) % 160.58/160.83 (assume @p49 (and @t128 @t127)) % 160.58/160.83 (assume @p50 (and @t131 @t130)) % 160.58/160.83 (assume @p51 (and @t134 @t133)) % 160.58/160.83 (assume @p52 (and @t137 @t136)) % 160.58/160.83 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 160.58/160.83 (assume @p54 (and @t140 @t139)) % 160.58/160.83 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 160.58/160.83 (assume @p56 @t143) % 160.58/160.83 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtpldt0 tptp.xP tptp.xP) (tptp.sdtpldt0 tptp.xR tptp.xS))) % 160.58/160.83 (assume @p58 @t150) % 160.58/160.83 (assume @p59 true) % 160.58/160.83 (step @p60 :rule and_elim :premises (@p44) :args (1)) % 160.58/160.83 (step @p61 :rule cong :premises (@p60) :args (@t114)) % 160.58/160.83 (step @p62 :rule and_elim :premises (@p44) :args (0)) % 160.58/160.83 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 160.58/160.83 (step @p64 :rule aci_norm :args ((= (or @t153 @t79) (or @t152 @t151 @t62 @t65)))) % 160.58/160.83 (step @p65 :rule refl :args (@t79)) % 160.58/160.83 (step @p66 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 160.58/160.83 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t154 @t79))) % 160.58/160.83 (step @p68 :rule trans :premises (@p67 @p64)) % 160.58/160.83 (step @p69 :rule bool-impl-elim :args (@t17 @t79)) % 160.58/160.83 (step @p70 :rule trans :premises (@p69 @p68)) % 160.58/160.83 (step @p71 :rule cong :premises (@p70) :args (@t80)) % 160.58/160.83 (step @p72 :rule eq_resolve :premises (@p25 @p71)) % 160.58/160.83 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t113 tptp.sz0z00))) % 160.58/160.83 (step @p74 :rule aci_norm :args ((= (or @t160 @t159) (or @t152 @t151 @t158 @t157 @t156 @t155 @t69)))) % 160.58/160.83 (step @p75 :rule aci_norm :args ((= (or (or @t156 @t155) @t69) @t159))) % 160.58/160.83 (step @p76 :rule refl :args (@t69)) % 160.58/160.83 (step @p77 :rule bool-and-de-morgan :args (@t62 @t70 true)) % 160.58/160.83 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t71) @t69))) % 160.58/160.83 (step @p79 :rule trans :premises (@p78 @p75)) % 160.58/160.83 (step @p80 :rule bool-impl-elim :args (@t71 @t69)) % 160.58/160.83 (step @p81 :rule trans :premises (@p80 @p79)) % 160.58/160.83 (step @p82 :rule aci_norm :args ((= (or @t152 (or @t151 (or @t158 @t157))) @t160))) % 160.58/160.83 (step @p83 :rule bool-and-de-morgan :args (@t40 @t49 true)) % 160.58/160.83 (step @p84 :rule refl :args (@t151)) % 160.58/160.83 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t151 (not (and @t40 @t49))))) % 160.58/160.83 (step @p86 :rule bool-and-de-morgan :args (@t16 @t40 (and @t49))) % 160.58/160.83 (step @p87 :rule trans :premises (@p86 @p85)) % 160.58/160.83 (step @p88 :rule refl :args (@t152)) % 160.58/160.83 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t152 (not (and @t16 @t40 @t49))))) % 160.58/160.83 (step @p90 :rule bool-and-de-morgan :args (@t12 @t16 (and @t40 @t49))) % 160.58/160.83 (step @p91 :rule trans :premises (@p90 @p89)) % 160.58/160.83 (step @p92 :rule trans :premises (@p91 @p82)) % 160.58/160.83 (step @p93 :rule nary_cong :premises (@p92 @p81) :args ((or @t161 @t72))) % 160.58/160.83 (step @p94 :rule trans :premises (@p93 @p74)) % 160.58/160.83 (step @p95 :rule bool-impl-elim :args (@t50 @t72)) % 160.58/160.83 (step @p96 :rule trans :premises (@p95 @p94)) % 160.58/160.83 (step @p97 :rule cong :premises (@p96) :args (@t73)) % 160.58/160.83 (step @p98 :rule eq_resolve :premises (@p23 @p97)) % 160.58/160.83 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t113 tptp.sz0z00 @t162 @t162))) % 160.58/160.83 (step @p100 :rule bool-impl-elim :args (@t12 @t164)) % 160.58/160.83 (step @p101 :rule cong :premises (@p100) :args ((forall @t3 (=> @t12 @t164)))) % 160.58/160.83 (step @p102 :rule eq-symm :args (@t25 tptp.sz0z00)) % 160.58/160.83 (step @p103 :rule eq-symm :args (@t26 @t1)) % 160.58/160.83 (step @p104 :rule eq-symm :args (@t27 tptp.sz0z00)) % 160.58/160.83 (step @p105 :rule eq-symm :args (@t28 tptp.sz0z00)) % 160.58/160.83 (step @p106 :rule eq-symm :args (@t29 tptp.sz0z00)) % 160.58/160.83 (step @p107 :rule eq-symm :args (@t30 tptp.sz0z00)) % 160.58/160.83 (step @p108 :rule eq-symm :args (@t31 @t1)) % 160.58/160.83 (step @p109 :rule eq-symm :args (@t32 @t1)) % 160.58/160.83 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102) :args (@t33)) % 160.58/160.83 (step @p111 :rule refl :args (@t12)) % 160.58/160.83 (step @p112 :rule cong :premises (@p111 @p110) :args (@t34)) % 160.58/160.83 (step @p113 :rule cong :premises (@p112) :args (@t35)) % 160.58/160.83 (step @p114 :rule trans :premises (@p113 @p101)) % 160.58/160.83 (step @p115 :rule eq_resolve :premises (@p13 @p114)) % 160.58/160.83 (step @p116 :rule instantiate :premises (@p115) :args (@t165)) % 160.58/160.83 (step @p117 :rule bool-impl-elim :args (@t12 @t23)) % 160.58/160.83 (step @p118 :rule cong :premises (@p117) :args (@t24)) % 160.58/160.83 (step @p119 :rule eq_resolve :premises (@p12 @p118)) % 160.58/160.83 (step @p120 :rule instantiate :premises (@p119) :args (@t166)) % 160.58/160.83 (step @p121 :rule cnf_or_pos :args (@t170)) % 160.58/160.83 (step @p122 :rule reordering :premises (@p121) :args ((or @t169 @t167 (not @t170)))) % 160.58/160.83 (step @p123 :rule chain_m_resolution :premises (@p122 @p63 @p120) :args (@t167 @t171 (@list @t168 @t170))) % 160.58/160.83 (step @p124 :rule cnf_or_pos :args (@t179)) % 160.58/160.83 (step @p125 :rule reordering :premises (@p124) :args ((or @t178 @t177 (not @t179)))) % 160.58/160.83 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p116) :args (@t177 @t171 (@list @t167 @t179))) % 160.58/160.83 (step @p127 :rule cnf_and_pos :args (@t177 1)) % 160.58/160.83 (step @p128 :rule reordering :premises (@p127) :args ((or @t176 (not @t177)))) % 160.58/160.83 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t176 @t180 (@list @t177))) % 160.58/160.83 (step @p130 :rule aci_norm :args ((= (or @t160 @t182) (or @t152 @t151 @t158 @t157 @t156 @t181 @t155 @t74)))) % 160.58/160.83 (step @p131 :rule aci_norm :args ((= (or @t183 @t74) @t182))) % 160.58/160.83 (step @p132 :rule refl :args (@t74)) % 160.58/160.83 (step @p133 :rule aci_norm :args ((= (or @t156 (or @t181 @t155)) @t183))) % 160.58/160.83 (step @p134 :rule bool-and-de-morgan :args (@t75 @t70 true)) % 160.58/160.83 (step @p135 :rule refl :args (@t156)) % 160.58/160.83 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t156 (not (and @t75 @t70))))) % 160.58/160.83 (step @p137 :rule bool-and-de-morgan :args (@t62 @t75 (and @t70))) % 160.58/160.83 (step @p138 :rule trans :premises (@p137 @p136)) % 160.58/160.83 (step @p139 :rule trans :premises (@p138 @p133)) % 160.58/160.83 (step @p140 :rule nary_cong :premises (@p139 @p132) :args ((or (not @t76) @t74))) % 160.58/160.83 (step @p141 :rule trans :premises (@p140 @p131)) % 160.58/160.83 (step @p142 :rule bool-impl-elim :args (@t76 @t74)) % 160.58/160.83 (step @p143 :rule trans :premises (@p142 @p141)) % 160.58/160.83 (step @p144 :rule nary_cong :premises (@p92 @p143) :args ((or @t161 @t77))) % 160.58/160.83 (step @p145 :rule trans :premises (@p144 @p130)) % 160.58/160.83 (step @p146 :rule bool-impl-elim :args (@t50 @t77)) % 160.58/160.83 (step @p147 :rule trans :premises (@p146 @p145)) % 160.58/160.83 (step @p148 :rule cong :premises (@p147) :args (@t78)) % 160.58/160.83 (step @p149 :rule eq_resolve :premises (@p24 @p148)) % 160.58/160.83 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t115 @t115 tptp.sz0z00 @t162))) % 160.58/160.83 (step @p151 :rule aci_norm :args ((= (or @t153 @t188) @t187))) % 160.58/160.83 (step @p152 :rule aci_norm :args ((= (or @t189 @t9) @t188))) % 160.58/160.83 (step @p153 :rule refl :args (@t9)) % 160.58/160.83 (step @p154 :rule aci_norm :args ((= (or @t186 (or @t185 @t184)) @t189))) % 160.58/160.83 (step @p155 :rule bool-and-de-morgan :args (@t82 @t90 true)) % 160.58/160.83 (step @p156 :rule refl :args (@t186)) % 160.58/160.83 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t186 (not (and @t82 @t90))))) % 160.58/160.83 (step @p158 :rule bool-and-de-morgan :args (@t83 @t82 (and @t90))) % 160.58/160.83 (step @p159 :rule trans :premises (@p158 @p157)) % 160.58/160.83 (step @p160 :rule trans :premises (@p159 @p154)) % 160.58/160.83 (step @p161 :rule nary_cong :premises (@p160 @p153) :args ((or (not @t91) @t9))) % 160.58/160.83 (step @p162 :rule trans :premises (@p161 @p152)) % 160.58/160.83 (step @p163 :rule bool-impl-elim :args (@t91 @t9)) % 160.58/160.83 (step @p164 :rule trans :premises (@p163 @p162)) % 160.58/160.83 (step @p165 :rule nary_cong :premises (@p66 @p164) :args ((or @t154 @t92))) % 160.58/160.83 (step @p166 :rule trans :premises (@p165 @p151)) % 160.58/160.83 (step @p167 :rule bool-impl-elim :args (@t17 @t92)) % 160.58/160.83 (step @p168 :rule trans :premises (@p167 @p166)) % 160.58/160.83 (step @p169 :rule cong :premises (@p168) :args (@t93)) % 160.58/160.83 (step @p170 :rule eq_resolve :premises (@p28 @p169)) % 160.58/160.83 (step @p171 :rule instantiate :premises (@p170) :args ((@list tptp.sz0z00 @t191))) % 160.58/160.83 (step @p172 :rule aci_norm :args ((= (or @t153 @t193) (or @t152 @t151 @t156 @t192 @t9)))) % 160.58/160.83 (step @p173 :rule aci_norm :args ((= (or (or @t156 @t192) @t9) @t193))) % 160.58/160.83 (step @p174 :rule bool-and-de-morgan :args (@t62 @t65 true)) % 160.58/160.83 (step @p175 :rule nary_cong :premises (@p174 @p153) :args ((or (not @t66) @t9))) % 160.58/160.83 (step @p176 :rule trans :premises (@p175 @p173)) % 160.58/160.83 (step @p177 :rule bool-impl-elim :args (@t66 @t9)) % 160.58/160.83 (step @p178 :rule trans :premises (@p177 @p176)) % 160.58/160.83 (step @p179 :rule nary_cong :premises (@p66 @p178) :args ((or @t154 @t67))) % 160.58/160.83 (step @p180 :rule trans :premises (@p179 @p172)) % 160.58/160.83 (step @p181 :rule bool-impl-elim :args (@t17 @t67)) % 160.58/160.83 (step @p182 :rule trans :premises (@p181 @p180)) % 160.58/160.83 (step @p183 :rule cong :premises (@p182) :args (@t68)) % 160.58/160.83 (step @p184 :rule eq_resolve :premises (@p21 @p183)) % 160.58/160.83 (step @p185 :rule instantiate :premises (@p184) :args ((@list tptp.sz0z00 @t194))) % 160.58/160.83 (step @p186 :rule instantiate :premises (@p115) :args (@t195)) % 160.58/160.83 (step @p187 :rule and_elim :premises (@p45) :args (1)) % 160.58/160.83 (step @p188 :rule cong :premises (@p60 @p187) :args (@t132)) % 160.58/160.83 (step @p189 :rule refl :args (tptp.xH)) % 160.58/160.83 (step @p190 :rule cong :premises (@p189 @p188) :args (@t133)) % 160.58/160.83 (step @p191 :rule and_elim :premises (@p51) :args (1)) % 160.58/160.83 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 160.58/160.83 (step @p193 :rule cong :premises (@p192) :args (@t134)) % 160.58/160.83 (step @p194 :rule and_elim :premises (@p51) :args (0)) % 160.58/160.83 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 160.58/160.83 (step @p196 :rule cnf_or_pos :args (@t209)) % 160.58/160.83 (step @p197 :rule reordering :premises (@p196) :args ((or @t208 @t206 (not @t209)))) % 160.58/160.83 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p186) :args (@t206 @t171 (@list @t207 @t209))) % 160.58/160.83 (step @p199 :rule cnf_and_pos :args (@t206 2)) % 160.58/160.83 (step @p200 :rule reordering :premises (@p199) :args ((or @t203 @t210))) % 160.58/160.83 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t203 @t180 @t211)) % 160.58/160.83 (step @p202 :rule cnf_and_pos :args (@t206 6)) % 160.58/160.83 (step @p203 :rule reordering :premises (@p202) :args ((or @t197 @t210))) % 160.58/160.83 (step @p204 :rule chain_m_resolution :premises (@p203 @p198) :args (@t197 @t180 @t211)) % 160.58/160.83 (step @p205 :rule aci_norm :args ((= (or @t153 @t212) (or @t152 @t151 @t212)))) % 160.58/160.83 (step @p206 :rule refl :args (@t212)) % 160.58/160.83 (step @p207 :rule nary_cong :premises (@p66 @p206) :args ((or @t154 @t212))) % 160.58/160.83 (step @p208 :rule trans :premises (@p207 @p205)) % 160.58/160.83 (step @p209 :rule bool-impl-elim :args (@t17 @t212)) % 160.58/160.83 (step @p210 :rule trans :premises (@p209 @p208)) % 160.58/160.83 (step @p211 :rule cong :premises (@p210) :args ((forall @t11 (=> @t17 @t212)))) % 160.58/160.83 (step @p212 :rule eq-symm :args (@t59 @t19)) % 160.58/160.83 (step @p213 :rule refl :args (@t17)) % 160.58/160.83 (step @p214 :rule cong :premises (@p213 @p212) :args (@t60)) % 160.58/160.83 (step @p215 :rule cong :premises (@p214) :args (@t61)) % 160.58/160.83 (step @p216 :rule trans :premises (@p215 @p211)) % 160.58/160.83 (step @p217 :rule eq_resolve :premises (@p18 @p216)) % 160.58/160.83 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t191 @t191))) % 160.58/160.83 (step @p219 :rule instantiate :premises (@p119) :args (@t195)) % 160.58/160.83 (step @p220 :rule cnf_or_pos :args (@t214)) % 160.58/160.83 (step @p221 :rule reordering :premises (@p220) :args ((or @t208 @t213 (not @t214)))) % 160.58/160.83 (step @p222 :rule chain_m_resolution :premises (@p221 @p195 @p219) :args (@t213 @t171 (@list @t207 @t214))) % 160.58/160.83 (step @p223 :rule cnf_or_pos :args (@t219)) % 160.58/160.83 (step @p224 :rule factoring :premises (@p223)) % 160.58/160.83 (step @p225 :rule reordering :premises (@p224) :args ((or @t218 @t217 (not @t219)))) % 160.58/160.83 (step @p226 :rule chain_m_resolution :premises (@p225 @p222 @p218) :args (@t217 @t171 (@list @t213 @t219))) % 160.58/160.83 (step @p227 :rule refl :args (@t221)) % 160.58/160.83 (step @p228 :rule bool-double-not-elim :args (@t222)) % 160.58/160.83 (step @p229 :rule refl :args (@t223)) % 160.58/160.83 (step @p230 :rule refl :args (@t224)) % 160.58/160.83 (step @p231 :rule refl :args (@t225)) % 160.58/160.83 (step @p232 :rule nary_cong :premises (@p231 @p230 @p229 @p228 @p227) :args ((or @t225 @t224 @t223 @t227 @t221))) % 160.58/160.83 (assume-push @p1543 @t203) % 160.58/160.83 (assume-push @p1544 @t197) % 160.58/160.83 (assume-push @p1545 @t217) % 160.58/160.83 (assume-push @p1546 @t226) % 160.58/160.83 (assume-push @p1547 @t226) % 160.58/160.83 (assume-push @p1548 @t197) % 160.58/160.83 (assume-push @p1549 @t217) % 160.58/160.83 (assume-push @p1550 @t203) % 160.58/160.83 (step @p241 :rule false_intro :premises (@p1546)) % 160.58/160.83 (step @p242 :rule symm :premises (@p201)) % 160.58/160.83 (step @p243 :rule symm :premises (@p204)) % 160.58/160.83 (step @p244 :rule cong :premises (@p243 @p243) :args (@t215)) % 160.58/160.83 (step @p245 :rule trans :premises (@p226 @p244)) % 160.58/160.83 (step @p246 :rule cong :premises (@p245 @p242) :args (@t228)) % 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@p376 :rule symm :premises (@p323)) % 160.58/160.84 (step @p1498 :rule cong :premises (@p376) :args (@t348)) % 160.58/160.84 (step @p1499 :rule trans :premises (@p604 @p1498 @p1459 @p1497 @p1452 @p1492 @p1490 @p1489 @p456)) % 160.58/160.84 (step @p1500 :rule symm :premises (@p293)) % 160.58/160.84 (step @p1501 :rule cong :premises (@p1500 @p1499) :args (@t346)) % 160.58/160.84 (step @p614 :rule symm :premises (@p604)) % 160.58/160.84 (step @p615 :rule cong :premises (@p323) :args (@t191)) % 160.58/160.84 (step @p616 :rule trans :premises (@p615 @p614)) % 160.58/160.84 (step @p617 :rule cong :premises (@p293 @p616) :args (@t325)) % 160.58/160.84 (step @p1502 :rule trans :premises (@p617 @p1501 @p1488)) % 160.58/160.84 (step @p1503 :rule true_elim :premises (@p1502)) % 160.58/160.84 (step-pop @p1901 :rule scope :premises (@p1503)) % 160.58/160.84 (step-pop @p1902 :rule scope :premises (@p1901)) % 160.58/160.84 (step-pop @p1903 :rule scope :premises (@p1902)) % 160.58/160.84 (step-pop @p1904 :rule scope :premises (@p1903)) % 160.58/160.84 (step-pop @p1905 :rule scope :premises (@p1904)) % 160.58/160.84 (step-pop @p1906 :rule scope :premises (@p1905)) % 160.58/160.84 (step-pop @p1907 :rule scope :premises (@p1906)) % 160.58/160.84 (step-pop @p1908 :rule scope :premises (@p1907)) % 160.58/160.84 (step-pop @p1909 :rule scope :premises (@p1908)) % 160.58/160.84 (step-pop @p1910 :rule scope :premises (@p1909)) % 160.58/160.84 (step-pop @p1911 :rule scope :premises (@p1910)) % 160.58/160.84 (step-pop @p1912 :rule scope :premises (@p1911)) % 160.58/160.84 (step @p1504 :rule process_scope :premises (@p1912) :args (@t325)) % 160.58/160.84 (step @p1517 :rule and_intro :premises (@p1463 @p456 @p293 @p1882 @p1016 @p1304 @p1452 @p1449 @p1459 @p1888 @p323 @p604)) % 160.58/160.84 (step @p1518 :rule modus_ponens :premises (@p1517 @p1504)) % 160.58/160.84 (step-pop @p1913 :rule scope :premises (@p1518)) % 160.58/160.84 (step-pop @p1914 :rule scope :premises (@p1913)) % 160.58/160.84 (step-pop @p1915 :rule scope :premises (@p1914)) % 160.58/160.84 (step-pop @p1916 :rule scope :premises (@p1915)) % 160.58/160.84 (step-pop @p1917 :rule scope :premises (@p1916)) % 160.58/160.84 (step-pop @p1918 :rule scope :premises (@p1917)) % 160.58/160.84 (step-pop @p1919 :rule scope :premises (@p1918)) % 160.58/160.84 (step-pop @p1920 :rule scope :premises (@p1919)) % 160.58/160.84 (step-pop @p1921 :rule scope :premises (@p1920)) % 160.58/160.84 (step-pop @p1922 :rule scope :premises (@p1921)) % 160.58/160.84 (step-pop @p1923 :rule scope :premises (@p1922)) % 160.58/160.84 (step-pop @p1924 :rule scope :premises (@p1923)) % 160.58/160.84 (step @p1519 :rule process_scope :premises (@p1924) :args (@t325)) % 160.58/160.84 (step @p1532 :rule implies_elim :premises (@p1519)) % 160.58/160.84 (step @p1533 :rule cnf_and_neg :args (@t606)) % 160.58/160.84 (step @p1534 :rule resolution :premises (@p1533 @p1532) :args (true @t606)) % 160.58/160.84 (step @p1535 :rule reordering :premises (@p1534) :args ((or @t331 @t265 @t476 @t575 (not @t604) @t516 (not @t601) (not @t595) (not @t593) @t264 @t358 @t325 @t607))) % 160.58/160.84 (step @p1536 :rule chain_m_resolution :premises (@p1535 @p456 @p293 @p1016 @p1304 @p1463 @p1107 @p1459 @p1452 @p1449 @p323 @p604 @p1407) :args (@t607 (@list false false false false false false false false false false false true) (@list @t310 @t248 @t469 @t199 @t604 @t427 @t601 @t595 @t593 @t254 @t353 @t325))) % 160.58/160.84 (step @p1537 :rule cnf_or_pos :args (@t589)) % 160.58/160.84 (step @p1538 :rule reordering :premises (@p1537) :args ((or @t232 @t208 @t244 @t270 @t586 @t588 (not @t589)))) % 160.58/160.84 (step @p1539 :rule chain_m_resolution :premises (@p1538 @p9 @p195 @p278 @p1536 @p1442 @p1425) :args (@t270 @t583 (@list @t13 @t207 @t231 @t586 @t587 @t589))) % 160.58/160.84 (step @p1540 :rule chain_m_resolution :premises (@p347 @p1539 @p293 @p323) :args (@t263 (@list true false false) (@list @t261 @t248 @t254))) % 160.58/160.84 (step @p1541 :rule chain_m_resolution :premises (@p286 @p9 @p63 @p271 @p278 @p282 @p1540 @p283) :args (@t243 @t544 (@list @t13 @t168 @t236 @t231 @t235 @t241 @t246))) % 160.58/160.84 (step @p1542 false :rule chain_m_resolution :premises (@p542 @p1541 @p1411 @p73 @p63 @p9) :args (false (@list true true false false false) (@list @t242 @t334 @t335 @t168 @t13))) % 160.58/160.84 ) % 160.58/160.84 % SZS output end Proof % 160.58/160.84 % cvc5 exiting %------------------------------------------------------------------------------