%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG064+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 : n016.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 45.45s 45.63s % Output : Proof 45.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG064+2 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 14:05:24 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 45.45/45.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 45.45/45.63 --- Run --no-e-matching --full-saturate-quant at 6... % 45.45/45.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 45.45/45.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 45.45/45.63 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 45.45/45.63 % SZS status Theorem % 45.45/45.63 % SZS output start Proof % 45.45/45.63 ( % 45.45/45.63 (declare-sort $$unsorted 0) % 45.45/45.63 (declare-const tptp.xN $$unsorted) % 45.45/45.63 (declare-const tptp.xS $$unsorted) % 45.45/45.63 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 45.45/45.63 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.sz00 $$unsorted) % 45.45/45.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 45.45/45.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xp $$unsorted) % 45.45/45.63 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xG $$unsorted) % 45.45/45.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xF $$unsorted) % 45.45/45.63 (declare-const tptp.sz0z00 $$unsorted) % 45.45/45.63 (declare-const tptp.xC $$unsorted) % 45.45/45.63 (declare-const tptp.xR $$unsorted) % 45.45/45.63 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 45.45/45.63 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xs $$unsorted) % 45.45/45.63 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xq $$unsorted) % 45.45/45.63 (declare-const tptp.xP $$unsorted) % 45.45/45.63 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 45.45/45.63 (declare-const tptp.xA $$unsorted) % 45.45/45.63 (declare-const tptp.xB $$unsorted) % 45.45/45.63 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 45.45/45.63 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 45.45/45.63 (declare-const tptp.xt $$unsorted) % 45.45/45.63 (declare-const tptp.xD $$unsorted) % 45.45/45.63 (declare-const tptp.xE $$unsorted) % 45.45/45.63 (declare-const tptp.xH $$unsorted) % 45.45/45.63 (define @t1 () (@var "W0" $$unsorted)) % 45.45/45.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 45.45/45.63 (define @t3 () (@list @t1)) % 45.45/45.63 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 45.45/45.63 (define @t5 () (@var "W1" $$unsorted)) % 45.45/45.63 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 45.45/45.63 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 45.45/45.63 (define @t8 () (@list @t5)) % 45.45/45.63 (define @t9 () (= @t1 @t5)) % 45.45/45.63 (define @t10 () (and @t2 @t7)) % 45.45/45.63 (define @t11 () (@list @t1 @t5)) % 45.45/45.63 (define @t12 () (tptp.aScalar0 @t1)) % 45.45/45.63 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 45.45/45.63 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 45.45/45.63 (define @t15 () (tptp.aScalar0 @t14)) % 45.45/45.63 (define @t16 () (tptp.aScalar0 @t5)) % 45.45/45.63 (define @t17 () (and @t12 @t16)) % 45.45/45.63 (define @t18 () (forall @t11 (=> @t17 @t15))) % 45.45/45.63 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 45.45/45.63 (define @t20 () (tptp.aScalar0 @t19)) % 45.45/45.63 (define @t21 () (forall @t11 (=> @t17 @t20))) % 45.45/45.63 (define @t22 () (tptp.smndt0 @t1)) % 45.45/45.63 (define @t23 () (tptp.aScalar0 @t22)) % 45.45/45.63 (define @t24 () (forall @t3 (=> @t12 @t23))) % 45.45/45.63 (define @t25 () (tptp.smndt0 tptp.sz0z00)) % 45.45/45.63 (define @t26 () (tptp.smndt0 @t22)) % 45.45/45.63 (define @t27 () (tptp.sdtpldt0 @t22 @t1)) % 45.45/45.63 (define @t28 () (tptp.sdtpldt0 @t1 @t22)) % 45.45/45.63 (define @t29 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 45.45/45.63 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 45.45/45.63 (define @t31 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 45.45/45.63 (define @t32 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 45.45/45.63 (define @t33 () (and (= @t32 @t1) (= @t31 @t1) (= @t30 tptp.sz0z00) (= @t29 tptp.sz0z00) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 @t1) (= @t25 tptp.sz0z00))) % 45.45/45.63 (define @t34 () (=> @t12 @t33)) % 45.45/45.63 (define @t35 () (forall @t3 @t34)) % 45.45/45.63 (define @t36 () (@var "W2" $$unsorted)) % 45.45/45.63 (define @t37 () (tptp.sdtasdt0 @t5 @t36)) % 45.45/45.63 (define @t38 () (tptp.sdtpldt0 @t5 @t36)) % 45.45/45.63 (define @t39 () (and (= (tptp.sdtpldt0 @t14 @t36) (tptp.sdtpldt0 @t1 @t38)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t36) (tptp.sdtasdt0 @t1 @t37)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))) % 45.45/45.63 (define @t40 () (tptp.aScalar0 @t36)) % 45.45/45.63 (define @t41 () (and @t12 @t16 @t40)) % 45.45/45.63 (define @t42 () (@list @t1 @t5 @t36)) % 45.45/45.63 (define @t43 () (forall @t42 (=> @t41 @t39))) % 45.45/45.63 (define @t44 () (tptp.sdtasdt0 @t1 @t36)) % 45.45/45.63 (define @t45 () (and (= (tptp.sdtasdt0 @t1 @t38) (tptp.sdtpldt0 @t19 @t44)) (= (tptp.sdtasdt0 @t14 @t36) (tptp.sdtpldt0 @t44 @t37)))) % 45.45/45.63 (define @t46 () (forall @t42 (=> @t41 @t45))) % 45.45/45.63 (define @t47 () (@var "W3" $$unsorted)) % 45.45/45.63 (define @t48 () (tptp.sdtasdt0 @t5 @t47)) % 45.45/45.63 (define @t49 () (tptp.aScalar0 @t47)) % 45.45/45.63 (define @t50 () (and @t12 @t16 @t40 @t49)) % 45.45/45.63 (define @t51 () (@list @t1 @t5 @t36 @t47)) % 45.45/45.63 (define @t52 () (tptp.smndt0 @t19)) % 45.45/45.63 (define @t53 () (tptp.sdtasdt0 @t22 @t5)) % 45.45/45.63 (define @t54 () (tptp.smndt0 @t5)) % 45.45/45.63 (define @t55 () (tptp.sdtasdt0 @t1 @t54)) % 45.45/45.63 (define @t56 () (and (= @t55 @t52) (= @t53 @t52))) % 45.45/45.63 (define @t57 () (=> @t17 @t56)) % 45.45/45.63 (define @t58 () (forall @t11 @t57)) % 45.45/45.63 (define @t59 () (tptp.sdtlseqdt0 @t1 @t5)) % 45.45/45.63 (define @t60 () (tptp.sdtlseqdt0 @t1 @t1)) % 45.45/45.63 (define @t61 () (forall @t3 (=> @t12 @t60))) % 45.45/45.63 (define @t62 () (tptp.sdtlseqdt0 @t5 @t1)) % 45.45/45.63 (define @t63 () (and @t59 @t62)) % 45.45/45.63 (define @t64 () (=> @t63 @t9)) % 45.45/45.63 (define @t65 () (forall @t11 (=> @t17 @t64))) % 45.45/45.63 (define @t66 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t36) (tptp.sdtpldt0 @t5 @t47))) % 45.45/45.63 (define @t67 () (tptp.sdtlseqdt0 @t36 @t47)) % 45.45/45.63 (define @t68 () (and @t59 @t67)) % 45.45/45.63 (define @t69 () (=> @t68 @t66)) % 45.45/45.63 (define @t70 () (forall @t51 (=> @t50 @t69))) % 45.45/45.63 (define @t71 () (or @t59 @t62)) % 45.45/45.63 (define @t72 () (forall @t11 (=> @t17 @t71))) % 45.45/45.63 (define @t73 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 45.45/45.63 (define @t74 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 45.45/45.63 (define @t75 () (tptp.sdtasdt0 @t1 @t1)) % 45.45/45.63 (define @t76 () (tptp.aVector0 @t1)) % 45.45/45.63 (define @t77 () (tptp.aDimensionOf0 @t1)) % 45.45/45.63 (define @t78 () (tptp.aDimensionOf0 @t5)) % 45.45/45.63 (define @t79 () (tptp.aVector0 @t5)) % 45.45/45.63 (define @t80 () (tptp.sziznziztdt0 @t1)) % 45.45/45.63 (define @t81 () (tptp.sziznziztdt0 @t5)) % 45.45/45.63 (define @t82 () (= @t78 tptp.sz00)) % 45.45/45.63 (define @t83 () (= @t77 @t78)) % 45.45/45.63 (define @t84 () (and @t83 (not @t82))) % 45.45/45.63 (define @t85 () (and @t76 @t79)) % 45.45/45.63 (define @t86 () (tptp.sdtasasdt0 @t1 @t5)) % 45.45/45.63 (define @t87 () (tptp.sdtasasdt0 @t1 @t1)) % 45.45/45.63 (define @t88 () (tptp.aDimensionOf0 tptp.xs)) % 45.45/45.63 (define @t89 () (tptp.aDimensionOf0 tptp.xt)) % 45.45/45.63 (define @t90 () (tptp.sziznziztdt0 tptp.xs)) % 45.45/45.63 (define @t91 () (tptp.sziznziztdt0 tptp.xt)) % 45.45/45.63 (define @t92 () (tptp.sdtlbdtrb0 tptp.xs @t88)) % 45.45/45.63 (define @t93 () (tptp.sdtlbdtrb0 tptp.xt @t89)) % 45.45/45.63 (define @t94 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 45.45/45.63 (define @t95 () (= tptp.xC @t94)) % 45.45/45.63 (define @t96 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 45.45/45.63 (define @t97 () (= tptp.xD @t96)) % 45.45/45.63 (define @t98 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 45.45/45.63 (define @t99 () (= tptp.xF @t98)) % 45.45/45.63 (define @t100 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 45.45/45.63 (define @t101 () (= tptp.xG @t100)) % 45.45/45.63 (define @t102 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 45.45/45.63 (define @t103 () (= tptp.xR @t102)) % 45.45/45.63 (define @t104 () (tptp.aScalar0 tptp.xR)) % 45.45/45.63 (define @t105 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 45.45/45.63 (define @t106 () (= tptp.xS @t105)) % 45.45/45.63 (define @t107 () (tptp.aScalar0 tptp.xS)) % 45.45/45.63 (define @t108 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 45.45/45.63 (define @t109 () (= tptp.xN @t108)) % 45.45/45.63 (define @t110 () (tptp.aScalar0 tptp.xN)) % 45.45/45.63 (define @t111 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 45.45/45.63 (define @t112 () (tptp.smndt0 tptp.xS)) % 45.45/45.63 (define @t113 () (tptp.smndt0 tptp.xN)) % 45.45/45.63 (define @t114 () (tptp.sdtasdt0 @t112 tptp.xR)) % 45.45/45.63 (define @t115 () (tptp.sdtasdt0 tptp.xR @t112)) % 45.45/45.63 (define @t116 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 45.45/45.63 (define @t117 () (tptp.sdtpldt0 @t116 @t113)) % 45.45/45.63 (define @t118 () (tptp.sdtpldt0 tptp.xR @t112)) % 45.45/45.63 (define @t119 () (tptp.sdtasdt0 @t118 @t118)) % 45.45/45.63 (define @t120 () (tptp.sdtpldt0 @t116 @t111)) % 45.45/45.63 (define @t121 () (tptp.sdtpldt0 @t120 @t113)) % 45.45/45.63 (define @t122 () (tptp.sdtpldt0 @t121 @t113)) % 45.45/45.63 (define @t123 () (= @t119 @t122)) % 45.45/45.63 (define @t124 () (tptp.sdtpldt0 @t119 tptp.xN)) % 45.45/45.63 (define @t125 () (tptp.sdtpldt0 @t124 tptp.xN)) % 45.45/45.63 (define @t126 () (tptp.sdtlseqdt0 tptp.sz0z00 @t119)) % 45.45/45.63 (define @t127 () (tptp.sdtpldt0 tptp.xN tptp.xN)) % 45.45/45.63 (define @t128 () (tptp.sdtlseqdt0 @t127 @t120)) % 45.45/45.63 (define @t129 () (not @t128)) % 45.45/45.63 (define @t130 () (not @t67)) % 45.45/45.63 (define @t131 () (not @t59)) % 45.45/45.63 (define @t132 () (not @t49)) % 45.45/45.63 (define @t133 () (not @t40)) % 45.45/45.63 (define @t134 () (not @t16)) % 45.45/45.63 (define @t135 () (not @t12)) % 45.45/45.63 (define @t136 () (or @t131 @t130 @t66)) % 45.45/45.63 (define @t137 () (or @t135 @t134 @t133 @t132)) % 45.45/45.63 (define @t138 () (tptp.sdtasdt0 (tptp.sdtasdt0 @t92 @t92) (tptp.sdtasasdt0 @t91 @t91))) % 45.45/45.63 (define @t139 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t90 @t90) (tptp.sdtasdt0 @t93 @t93))) % 45.45/45.63 (define @t140 () (tptp.sdtasdt0 @t139 @t138)) % 45.45/45.63 (define @t141 () (@list @t140)) % 45.45/45.63 (define @t142 () (tptp.sdtlseqdt0 @t140 @t140)) % 45.45/45.63 (define @t143 () (tptp.aScalar0 @t140)) % 45.45/45.63 (define @t144 () (not @t143)) % 45.45/45.63 (define @t145 () (or @t144 @t142)) % 45.45/45.63 (define @t146 () (@list false false)) % 45.45/45.63 (define @t147 () (tptp.sdtpldt0 @t140 @t140)) % 45.45/45.63 (define @t148 () (tptp.sdtlseqdt0 @t147 @t147)) % 45.45/45.63 (define @t149 () (not @t142)) % 45.45/45.63 (define @t150 () (or @t144 @t144 @t144 @t144 @t149 @t149 @t148)) % 45.45/45.63 (define @t151 () (@list false false false)) % 45.45/45.63 (define @t152 () (= tptp.sz0z00 @t25)) % 45.45/45.63 (define @t153 () (and (= @t1 @t32) (= @t1 @t31) (= tptp.sz0z00 @t30) (= tptp.sz0z00 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= @t1 @t26) @t152)) % 45.45/45.63 (define @t154 () (or @t135 @t134)) % 45.45/45.63 (define @t155 () (not @t17)) % 45.45/45.63 (define @t156 () (tptp.aScalar0 @t147)) % 45.45/45.63 (define @t157 () (or @t144 @t144 @t156)) % 45.45/45.63 (define @t158 () (tptp.smndt0 @t147)) % 45.45/45.63 (define @t159 () (tptp.sdtpldt0 @t147 @t158)) % 45.45/45.63 (define @t160 () (= tptp.sz0z00 @t159)) % 45.45/45.63 (define @t161 () (= @t147 (tptp.sdtpldt0 @t147 tptp.sz0z00))) % 45.45/45.63 (define @t162 () (and @t161 (= @t147 (tptp.sdtpldt0 tptp.sz0z00 @t147)) (= tptp.sz0z00 (tptp.sdtasdt0 @t147 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t147)) @t160 (= tptp.sz0z00 (tptp.sdtpldt0 @t158 @t147)) (= @t147 (tptp.smndt0 @t158)) @t152)) % 45.45/45.63 (define @t163 () (not @t156)) % 45.45/45.63 (define @t164 () (or @t163 @t162)) % 45.45/45.63 (define @t165 () (not @t162)) % 45.45/45.63 (define @t166 () (@list false)) % 45.45/45.63 (define @t167 () (@list @t162)) % 45.45/45.63 (define @t168 () (@list @t138)) % 45.45/45.63 (define @t169 () (tptp.smndt0 @t138)) % 45.45/45.63 (define @t170 () (tptp.sdtasdt0 tptp.sz0z00 @t138)) % 45.45/45.63 (define @t171 () (= tptp.sz0z00 @t170)) % 45.45/45.63 (define @t172 () (and (= @t138 (tptp.sdtpldt0 @t138 tptp.sz0z00)) (= @t138 (tptp.sdtpldt0 tptp.sz0z00 @t138)) (= tptp.sz0z00 (tptp.sdtasdt0 @t138 tptp.sz0z00)) @t171 (= tptp.sz0z00 (tptp.sdtpldt0 @t138 @t169)) (= tptp.sz0z00 (tptp.sdtpldt0 @t169 @t138)) (= @t138 (tptp.smndt0 @t169)) @t152)) % 45.45/45.63 (define @t173 () (tptp.aScalar0 @t138)) % 45.45/45.63 (define @t174 () (not @t173)) % 45.45/45.63 (define @t175 () (or @t174 @t172)) % 45.45/45.63 (define @t176 () (or @t135 @t134 @t133 @t45)) % 45.45/45.63 (define @t177 () (or @t135 @t134 @t133)) % 45.45/45.63 (define @t178 () (not @t41)) % 45.45/45.63 (define @t179 () (tptp.sdtpldt0 @t139 @t139)) % 45.45/45.63 (define @t180 () (tptp.sdtasdt0 @t179 @t138)) % 45.45/45.63 (define @t181 () (tptp.sdtasdt0 @t139 @t139)) % 45.45/45.63 (define @t182 () (= (tptp.sdtasdt0 @t139 (tptp.sdtpldt0 @t139 @t138)) (tptp.sdtpldt0 @t181 @t140))) % 45.45/45.63 (define @t183 () (and @t182 (= @t180 @t147))) % 45.45/45.63 (define @t184 () (tptp.aScalar0 @t139)) % 45.45/45.63 (define @t185 () (not @t184)) % 45.45/45.63 (define @t186 () (or @t185 @t185 @t174 @t183)) % 45.45/45.63 (define @t187 () (forall @t42 @t176)) % 45.45/45.63 (define @t188 () (= @t147 @t180)) % 45.45/45.63 (define @t189 () (and @t182 @t188)) % 45.45/45.63 (define @t190 () (or @t185 @t185 @t174 @t189)) % 45.45/45.63 (define @t191 () (not @t62)) % 45.45/45.63 (define @t192 () (or @t131 @t191 @t9)) % 45.45/45.63 (define @t193 () (tptp.sdtpldt0 @t139 @t169)) % 45.45/45.63 (define @t194 () (tptp.sdtasdt0 @t193 @t193)) % 45.45/45.63 (define @t195 () (tptp.smndt0 @t140)) % 45.45/45.63 (define @t196 () (tptp.sdtpldt0 @t195 @t195)) % 45.45/45.63 (define @t197 () (tptp.sdtpldt0 @t194 @t140)) % 45.45/45.63 (define @t198 () (tptp.sdtpldt0 @t197 @t140)) % 45.45/45.63 (define @t199 () (tptp.sdtasdt0 @t169 @t139)) % 45.45/45.63 (define @t200 () (tptp.aScalar0 @t169)) % 45.45/45.63 (define @t201 () (or @t174 @t200)) % 45.45/45.63 (define @t202 () (tptp.aScalar0 @t199)) % 45.45/45.63 (define @t203 () (not @t200)) % 45.45/45.63 (define @t204 () (or @t203 @t185 @t202)) % 45.45/45.63 (define @t205 () (tptp.sdtlseqdt0 @t199 @t199)) % 45.45/45.63 (define @t206 () (not @t202)) % 45.45/45.63 (define @t207 () (or @t206 @t205)) % 45.45/45.63 (define @t208 () (tptp.sdtpldt0 @t199 @t199)) % 45.45/45.63 (define @t209 () (tptp.sdtlseqdt0 @t208 @t208)) % 45.45/45.63 (define @t210 () (not @t205)) % 45.45/45.63 (define @t211 () (or @t206 @t206 @t206 @t206 @t210 @t210 @t209)) % 45.45/45.63 (define @t212 () (tptp.sdtasdt0 @t139 @t169)) % 45.45/45.63 (define @t213 () (tptp.sdtpldt0 @t212 @t212)) % 45.45/45.63 (define @t214 () (tptp.sdtlseqdt0 @t196 @t196)) % 45.45/45.63 (define @t215 () (tptp.sdtasdt0 @t138 @t138)) % 45.45/45.63 (define @t216 () (tptp.sdtpldt0 @t181 @t215)) % 45.45/45.63 (define @t217 () (@list @t139 @t139)) % 45.45/45.63 (define @t218 () (tptp.aScalar0 @t181)) % 45.45/45.63 (define @t219 () (or @t185 @t185 @t218)) % 45.45/45.63 (define @t220 () (tptp.aScalar0 @t215)) % 45.45/45.63 (define @t221 () (or @t174 @t174 @t220)) % 45.45/45.63 (define @t222 () (tptp.aScalar0 @t216)) % 45.45/45.63 (define @t223 () (not @t220)) % 45.45/45.63 (define @t224 () (not @t218)) % 45.45/45.63 (define @t225 () (or @t224 @t223 @t222)) % 45.45/45.63 (define @t226 () (tptp.sdtlseqdt0 @t216 @t147)) % 45.45/45.63 (define @t227 () (tptp.sdtlseqdt0 @t147 @t216)) % 45.45/45.63 (define @t228 () (not @t222)) % 45.45/45.63 (define @t229 () (or @t163 @t228 @t227 @t226)) % 45.45/45.63 (define @t230 () (tptp.sdtlseqdt0 @t198 @t147)) % 45.45/45.63 (define @t231 () (@list @t139 @t169)) % 45.45/45.63 (define @t232 () (tptp.aScalar0 @t212)) % 45.45/45.63 (define @t233 () (or @t185 @t203 @t232)) % 45.45/45.63 (define @t234 () (tptp.aScalar0 @t213)) % 45.45/45.63 (define @t235 () (not @t232)) % 45.45/45.63 (define @t236 () (or @t235 @t235 @t234)) % 45.45/45.63 (define @t237 () (tptp.aScalar0 @t196)) % 45.45/45.63 (define @t238 () (tptp.aScalar0 @t193)) % 45.45/45.63 (define @t239 () (or @t185 @t203 @t238)) % 45.45/45.63 (define @t240 () (tptp.aScalar0 @t194)) % 45.45/45.63 (define @t241 () (not @t238)) % 45.45/45.63 (define @t242 () (or @t241 @t241 @t240)) % 45.45/45.63 (define @t243 () (tptp.aScalar0 @t197)) % 45.45/45.63 (define @t244 () (not @t240)) % 45.45/45.63 (define @t245 () (or @t244 @t144 @t243)) % 45.45/45.63 (define @t246 () (tptp.aScalar0 @t198)) % 45.45/45.63 (define @t247 () (not @t243)) % 45.45/45.63 (define @t248 () (or @t247 @t144 @t246)) % 45.45/45.63 (define @t249 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t198 @t196) (tptp.sdtpldt0 @t147 @t196))) % 45.45/45.63 (define @t250 () (not @t214)) % 45.45/45.63 (define @t251 () (not @t230)) % 45.45/45.63 (define @t252 () (not @t237)) % 45.45/45.63 (define @t253 () (not @t246)) % 45.45/45.63 (define @t254 () (or @t253 @t163 @t252 @t252 @t251 @t250 @t249)) % 45.45/45.63 (define @t255 () (tptp.sdtasdt0 @t179 @t169)) % 45.45/45.63 (define @t256 () (= @t255 @t213)) % 45.45/45.63 (define @t257 () (and (= (tptp.sdtasdt0 @t139 @t193) (tptp.sdtpldt0 @t181 @t212)) @t256)) % 45.45/45.63 (define @t258 () (or @t185 @t185 @t203 @t257)) % 45.45/45.63 (define @t259 () (and (= @t52 @t55) (= @t52 @t53))) % 45.45/45.63 (define @t260 () (or @t135 @t134 @t259)) % 45.45/45.63 (define @t261 () (tptp.smndt0 @t180)) % 45.45/45.63 (define @t262 () (= @t261 (tptp.sdtasdt0 (tptp.smndt0 @t179) @t138))) % 45.45/45.63 (define @t263 () (and (= @t261 @t255) @t262)) % 45.45/45.63 (define @t264 () (tptp.aScalar0 @t179)) % 45.45/45.63 (define @t265 () (not @t264)) % 45.45/45.63 (define @t266 () (or @t265 @t174 @t263)) % 45.45/45.63 (define @t267 () (forall @t11 @t260)) % 45.45/45.63 (define @t268 () (= @t255 @t261)) % 45.45/45.63 (define @t269 () (and @t268 @t262)) % 45.45/45.63 (define @t270 () (or @t265 @t174 @t269)) % 45.45/45.63 (define @t271 () (or @t185 @t185 @t264)) % 45.45/45.63 (define @t272 () (tptp.sdtpldt0 @t216 @t196)) % 45.45/45.63 (define @t273 () (tptp.aScalar0 @t195)) % 45.45/45.63 (define @t274 () (or @t144 @t273)) % 45.45/45.63 (define @t275 () (tptp.sdtasdt0 @t216 @t195)) % 45.45/45.63 (define @t276 () (tptp.sdtpldt0 @t216 @t195)) % 45.45/45.63 (define @t277 () (= (tptp.sdtpldt0 @t276 @t195) @t272)) % 45.45/45.63 (define @t278 () (and @t277 (= @t276 (tptp.sdtpldt0 @t195 @t216)) (= (tptp.sdtasdt0 @t275 @t195) (tptp.sdtasdt0 @t216 (tptp.sdtasdt0 @t195 @t195))) (= @t275 (tptp.sdtasdt0 @t195 @t216)))) % 45.45/45.63 (define @t279 () (not @t273)) % 45.45/45.63 (define @t280 () (or @t228 @t279 @t279 @t278)) % 45.45/45.63 (define @t281 () (tptp.sdtlseqdt0 @t194 tptp.sz0z00)) % 45.45/45.63 (define @t282 () (= tptp.sz0z00 @t194)) % 45.45/45.63 (define @t283 () (not @t281)) % 45.45/45.63 (define @t284 () (tptp.sdtlseqdt0 tptp.sz0z00 @t194)) % 45.45/45.63 (define @t285 () (not @t284)) % 45.45/45.63 (define @t286 () (not @t13)) % 45.45/45.63 (define @t287 () (or @t286 @t244 @t285 @t283 @t282)) % 45.45/45.63 (define @t288 () (tptp.sdtpldt0 @t147 @t194)) % 45.45/45.63 (define @t289 () (tptp.sdtasdt0 @t194 @t147)) % 45.45/45.63 (define @t290 () (tptp.sdtpldt0 @t194 @t147)) % 45.45/45.63 (define @t291 () (= @t290 @t288)) % 45.45/45.63 (define @t292 () (and (= (tptp.sdtpldt0 @t290 @t195) (tptp.sdtpldt0 @t194 (tptp.sdtpldt0 @t147 @t195))) @t291 (= (tptp.sdtasdt0 @t289 @t195) (tptp.sdtasdt0 @t194 (tptp.sdtasdt0 @t147 @t195))) (= @t289 (tptp.sdtasdt0 @t147 @t194)))) % 45.45/45.63 (define @t293 () (or @t244 @t163 @t279 @t292)) % 45.45/45.63 (define @t294 () (tptp.sdtasdt0 @t194 @t140)) % 45.45/45.63 (define @t295 () (= @t198 @t290)) % 45.45/45.63 (define @t296 () (and @t295 (= @t197 (tptp.sdtpldt0 @t140 @t194)) (= (tptp.sdtasdt0 @t294 @t140) (tptp.sdtasdt0 @t194 (tptp.sdtasdt0 @t140 @t140))) (= @t294 (tptp.sdtasdt0 @t140 @t194)))) % 45.45/45.63 (define @t297 () (or @t244 @t144 @t144 @t296)) % 45.45/45.63 (assume @p1 (forall @t3 (=> @t2 true))) % 45.45/45.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 45.45/45.63 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 45.45/45.63 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 45.45/45.63 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 45.45/45.63 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 45.45/45.63 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 45.45/45.63 (assume @p8 (forall @t3 (=> @t12 true))) % 45.45/45.63 (assume @p9 @t13) % 45.45/45.63 (assume @p10 @t18) % 45.45/45.63 (assume @p11 @t21) % 45.45/45.63 (assume @p12 @t24) % 45.45/45.63 (assume @p13 @t35) % 45.45/45.63 (assume @p14 @t43) % 45.45/45.63 (assume @p15 @t46) % 45.45/45.63 (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)))))) % 45.45/45.63 (assume @p17 @t58) % 45.45/45.63 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t22 @t54) @t19)))) % 45.45/45.63 (assume @p19 (forall @t11 (=> @t17 (=> @t59 true)))) % 45.45/45.63 (assume @p20 @t61) % 45.45/45.63 (assume @p21 @t65) % 45.45/45.63 (assume @p22 (forall @t42 (=> @t41 (=> (and @t59 (tptp.sdtlseqdt0 @t5 @t36)) (tptp.sdtlseqdt0 @t1 @t36))))) % 45.45/45.63 (assume @p23 @t70) % 45.45/45.63 (assume @p24 (forall @t51 (=> @t50 (=> (and @t59 (tptp.sdtlseqdt0 tptp.sz0z00 @t36) @t67) (tptp.sdtlseqdt0 @t44 @t48))))) % 45.45/45.63 (assume @p25 @t72) % 45.45/45.63 (assume @p26 (forall @t11 (=> @t17 (=> (and @t74 @t73) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 45.45/45.63 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t75)))) % 45.45/45.63 (assume @p28 (forall @t11 (=> @t17 (=> (and @t74 @t73 (= @t75 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 45.45/45.63 (assume @p29 (forall @t3 (=> @t76 true))) % 45.45/45.63 (assume @p30 (forall @t3 (=> @t76 (tptp.aNaturalNumber0 @t77)))) % 45.45/45.63 (assume @p31 (forall @t11 (=> (and @t76 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 45.45/45.63 (assume @p32 (forall @t3 (=> @t76 (=> (not (= @t77 tptp.sz00)) (forall @t8 (= (= @t5 @t80) (and @t79 (= (tptp.szszuzczcdt0 @t78) @t77) (forall (@list @t36) (=> (tptp.aNaturalNumber0 @t36) (= (tptp.sdtlbdtrb0 @t5 @t36) (tptp.sdtlbdtrb0 @t1 @t36))))))))))) % 45.45/45.63 (assume @p33 (forall @t11 (=> @t85 (=> @t84 (= (tptp.aDimensionOf0 @t80) (tptp.aDimensionOf0 @t81)))))) % 45.45/45.63 (assume @p34 (forall @t11 (=> @t85 (=> @t83 (tptp.aScalar0 @t86))))) % 45.45/45.63 (assume @p35 (forall @t11 (=> @t85 (=> (and @t83 @t82) (= @t86 tptp.sz0z00))))) % 45.45/45.63 (assume @p36 (forall @t11 (=> @t85 (=> @t84 (= @t86 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t80 @t81) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t77) (tptp.sdtlbdtrb0 @t5 @t78)))))))) % 45.45/45.63 (assume @p37 (forall @t3 (=> @t76 (tptp.sdtlseqdt0 tptp.sz0z00 @t87)))) % 45.45/45.63 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 45.45/45.63 (assume @p39 (forall @t11 (=> @t85 (=> @t83 (=> (tptp.iLess0 @t77 @t88) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t86 @t86) (tptp.sdtasdt0 @t87 (tptp.sdtasasdt0 @t5 @t5)))))))) % 45.45/45.63 (assume @p40 (= @t88 @t89)) % 45.45/45.63 (assume @p41 (not (= @t88 tptp.sz00))) % 45.45/45.63 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t88) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t90))) % 45.45/45.63 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t89) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t91))) % 45.45/45.63 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t92))) % 45.45/45.63 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t93))) % 45.45/45.63 (assume @p46 (and (tptp.aScalar0 tptp.xC) @t95)) % 45.45/45.63 (assume @p47 (and (tptp.aScalar0 tptp.xD) @t97)) % 45.45/45.63 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 45.45/45.63 (assume @p49 (and (tptp.aScalar0 tptp.xF) @t99)) % 45.45/45.63 (assume @p50 (and (tptp.aScalar0 tptp.xG) @t101)) % 45.45/45.63 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 45.45/45.63 (assume @p52 (and @t104 @t103)) % 45.45/45.63 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 45.45/45.63 (assume @p54 (and @t107 @t106)) % 45.45/45.63 (assume @p55 (and @t110 @t109)) % 45.45/45.63 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 45.45/45.63 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 45.45/45.63 (assume @p58 (and (= @t115 @t113) (= @t114 @t113) (= (tptp.sdtasdt0 @t112 @t112) @t111))) % 45.45/45.63 (assume @p59 (= @t119 (tptp.sdtpldt0 @t117 (tptp.sdtpldt0 @t113 @t111)))) % 45.45/45.63 (assume @p60 (= @t119 (tptp.sdtpldt0 @t117 (tptp.sdtpldt0 @t111 @t113)))) % 45.45/45.63 (assume @p61 @t123) % 45.45/45.63 (assume @p62 (= @t125 @t120)) % 45.45/45.63 (assume @p63 @t126) % 45.45/45.63 (assume @p64 @t129) % 45.45/45.63 (assume @p65 true) % 45.45/45.63 (step @p66 :rule evaluate :args ((= false true))) % 45.45/45.63 (step @p67 :rule aci_norm :args ((= (or @t137 @t136) (or @t135 @t134 @t133 @t132 @t131 @t130 @t66)))) % 45.45/45.63 (step @p68 :rule aci_norm :args ((= (or (or @t131 @t130) @t66) @t136))) % 45.45/45.63 (step @p69 :rule refl :args (@t66)) % 45.45/45.63 (step @p70 :rule bool-and-de-morgan :args (@t59 @t67 true)) % 45.45/45.63 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t68) @t66))) % 45.45/45.63 (step @p72 :rule trans :premises (@p71 @p68)) % 45.45/45.63 (step @p73 :rule bool-impl-elim :args (@t68 @t66)) % 45.45/45.63 (step @p74 :rule trans :premises (@p73 @p72)) % 45.45/45.63 (step @p75 :rule aci_norm :args ((= (or @t135 (or @t134 (or @t133 @t132))) @t137))) % 45.45/45.63 (step @p76 :rule bool-and-de-morgan :args (@t40 @t49 true)) % 45.45/45.63 (step @p77 :rule refl :args (@t134)) % 45.45/45.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t134 (not (and @t40 @t49))))) % 45.45/45.63 (step @p79 :rule bool-and-de-morgan :args (@t16 @t40 (and @t49))) % 45.45/45.63 (step @p80 :rule trans :premises (@p79 @p78)) % 45.45/45.63 (step @p81 :rule refl :args (@t135)) % 45.45/45.63 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t135 (not (and @t16 @t40 @t49))))) % 45.45/45.63 (step @p83 :rule bool-and-de-morgan :args (@t12 @t16 (and @t40 @t49))) % 45.45/45.63 (step @p84 :rule trans :premises (@p83 @p82)) % 45.45/45.63 (step @p85 :rule trans :premises (@p84 @p75)) % 45.45/45.63 (step @p86 :rule nary_cong :premises (@p85 @p74) :args ((or (not @t50) @t69))) % 45.45/45.63 (step @p87 :rule trans :premises (@p86 @p67)) % 45.45/45.63 (step @p88 :rule bool-impl-elim :args (@t50 @t69)) % 45.45/45.63 (step @p89 :rule trans :premises (@p88 @p87)) % 45.45/45.63 (step @p90 :rule cong :premises (@p89) :args (@t70)) % 45.45/45.63 (step @p91 :rule eq_resolve :premises (@p23 @p90)) % 45.45/45.63 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t140 @t140 @t140 @t140))) % 45.45/45.63 (step @p93 :rule bool-impl-elim :args (@t12 @t60)) % 45.45/45.63 (step @p94 :rule cong :premises (@p93) :args (@t61)) % 45.45/45.63 (step @p95 :rule eq_resolve :premises (@p20 @p94)) % 45.45/45.63 (step @p96 :rule instantiate :premises (@p95) :args (@t141)) % 45.45/45.63 (step @p97 :rule and_elim :premises (@p43) :args (3)) % 45.45/45.63 (step @p98 :rule cong :premises (@p97 @p97) :args (@t96)) % 45.45/45.63 (step @p99 :rule refl :args (tptp.xD)) % 45.45/45.63 (step @p100 :rule cong :premises (@p99 @p98) :args (@t97)) % 45.45/45.63 (step 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45.45/45.63 (step @p315 :rule instantiate :premises (@p172) :args ((@list @t181 @t215))) % 45.45/45.63 (step @p316 :rule instantiate :premises (@p262) :args (@t217)) % 45.45/45.63 (step @p317 :rule cnf_or_pos :args (@t219)) % 45.45/45.63 (step @p318 :rule factoring :premises (@p317)) % 45.45/45.63 (step @p319 :rule reordering :premises (@p318) :args ((or @t185 @t218 (not @t219)))) % 45.45/45.63 (step @p320 :rule chain_m_resolution :premises (@p319 @p227 @p316) :args (@t218 @t146 (@list @t184 @t219))) % 45.45/45.63 (step @p321 :rule instantiate :premises (@p262) :args ((@list @t138 @t138))) % 45.45/45.63 (step @p322 :rule cnf_or_pos :args (@t221)) % 45.45/45.63 (step @p323 :rule factoring :premises (@p322)) % 45.45/45.63 (step @p324 :rule reordering :premises (@p323) :args ((or @t174 @t220 (not @t221)))) % 45.45/45.63 (step @p325 :rule chain_m_resolution :premises (@p324 @p188 @p321) :args (@t220 @t146 (@list @t173 @t221))) % 45.45/45.63 (step @p326 :rule cnf_or_pos :args (@t225)) % 45.45/45.63 (step @p327 :rule reordering :premises (@p326) :args ((or @t223 @t224 @t222 (not @t225)))) % 45.45/45.63 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p320 @p315) :args (@t222 @t151 (@list @t220 @t218 @t225))) % 45.45/45.63 (step @p329 :rule cong :premises (@p113 @p113) :args (@t111)) % 45.45/45.63 (step @p330 :rule cong :premises (@p130 @p130) :args (@t116)) % 45.45/45.63 (step @p331 :rule cong :premises (@p330 @p329) :args (@t120)) % 45.45/45.63 (step @p332 :rule cong :premises (@p135 @p135) :args (@t127)) % 45.45/45.63 (step @p333 :rule cong :premises (@p332 @p331) :args (@t128)) % 45.45/45.63 (step @p334 :rule cong :premises (@p333) :args (@t129)) % 45.45/45.63 (step @p335 :rule eq_resolve :premises (@p64 @p334)) % 45.45/45.63 (step @p336 :rule cnf_or_pos :args (@t229)) % 45.45/45.63 (step @p337 :rule reordering :premises (@p336) :args ((or @t227 @t228 @t163 @t226 (not @t229)))) % 45.45/45.63 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p328 @p177 @p314) :args (@t226 (@list true false false false) (@list @t227 @t222 @t156 @t229))) % 45.45/45.63 (step @p339 :rule true_intro :premises (@p338)) % 45.45/45.63 (step @p340 :rule refl :args (@t147)) % 45.45/45.63 (step @p341 :rule cong :premises (@p130 @p282) :args (@t118)) % 45.45/45.63 (step @p342 :rule cong :premises (@p341 @p341) :args (@t119)) % 45.45/45.63 (step @p343 :rule cong :premises (@p342 @p135) :args (@t124)) % 45.45/45.63 (step @p344 :rule cong :premises (@p343 @p135) :args (@t125)) % 45.45/45.63 (step @p345 :rule cong :premises (@p331 @p344) :args ((= @t120 @t125))) % 45.45/45.63 (step @p346 :rule eq-symm :args (@t125 @t120)) % 45.45/45.63 (step @p347 :rule trans :premises (@p346 @p345)) % 45.45/45.63 (step @p348 :rule eq_resolve :premises (@p62 @p347)) % 45.45/45.63 (step @p349 :rule symm :premises (@p348)) % 45.45/45.63 (step @p350 :rule cong :premises (@p349 @p340) :args (@t230)) % 45.45/45.63 (step @p351 :rule trans :premises (@p350 @p339)) % 45.45/45.63 (step @p352 :rule true_elim :premises (@p351)) % 45.45/45.63 (step @p353 :rule instantiate :premises (@p172) :args ((@list @t212 @t212))) % 45.45/45.63 (step @p354 :rule instantiate :premises (@p262) :args (@t231)) % 45.45/45.63 (step @p355 :rule cnf_or_pos :args (@t233)) % 45.45/45.63 (step @p356 :rule reordering :premises (@p355) :args ((or @t185 @t203 @t232 (not @t233)))) % 45.45/45.63 (step @p357 :rule chain_m_resolution :premises (@p356 @p227 @p270 @p354) :args (@t232 @t151 (@list @t184 @t200 @t233))) % 45.45/45.63 (step @p358 :rule cnf_or_pos :args (@t236)) % 45.45/45.63 (step @p359 :rule factoring :premises (@p358)) % 45.45/45.63 (step @p360 :rule reordering :premises (@p359) :args ((or @t235 @t234 (not @t236)))) % 45.45/45.63 (step @p361 :rule chain_m_resolution :premises (@p360 @p357 @p353) :args (@t234 @t146 (@list @t232 @t236))) % 45.45/45.63 (step @p362 :rule true_intro :premises (@p361)) % 45.45/45.63 (step @p363 :rule cong :premises (@p301) :args (@t237)) % 45.45/45.63 (step @p364 :rule trans :premises (@p363 @p362)) % 45.45/45.63 (step @p365 :rule true_elim :premises (@p364)) % 45.45/45.63 (step @p366 :rule instantiate :premises (@p172) :args ((@list @t197 @t140))) % 45.45/45.63 (step @p367 :rule instantiate :premises (@p172) :args ((@list @t194 @t140))) % 45.45/45.63 (step @p368 :rule instantiate :premises (@p262) :args ((@list @t193 @t193))) % 45.45/45.63 (step @p369 :rule instantiate :premises (@p172) :args (@t231)) % 45.45/45.63 (step @p370 :rule cnf_or_pos :args (@t239)) % 45.45/45.63 (step @p371 :rule reordering :premises (@p370) :args ((or @t185 @t203 @t238 (not @t239)))) % 45.45/45.63 (step @p372 :rule chain_m_resolution :premises (@p371 @p227 @p270 @p369) :args (@t238 @t151 (@list @t184 @t200 @t239))) % 45.45/45.63 (step @p373 :rule cnf_or_pos :args (@t242)) % 45.45/45.63 (step @p374 :rule factoring :premises (@p373)) % 45.45/45.63 (step @p375 :rule reordering :premises (@p374) :args ((or @t240 @t241 (not @t242)))) % 45.45/45.63 (step @p376 :rule chain_m_resolution :premises (@p375 @p372 @p368) :args (@t240 @t146 (@list @t238 @t242))) % 45.45/45.63 (step @p377 :rule cnf_or_pos :args (@t245)) % 45.45/45.63 (step @p378 :rule reordering :premises (@p377) :args ((or @t144 @t244 @t243 (not @t245)))) % 45.45/45.63 (step @p379 :rule chain_m_resolution :premises (@p378 @p138 @p376 @p367) :args (@t243 @t151 (@list @t143 @t240 @t245))) % 45.45/45.63 (step @p380 :rule cnf_or_pos :args (@t248)) % 45.45/45.63 (step @p381 :rule reordering :premises (@p380) :args ((or @t144 @t247 @t246 (not @t248)))) % 45.45/45.63 (step @p382 :rule chain_m_resolution :premises (@p381 @p138 @p379 @p366) :args (@t246 @t151 (@list @t143 @t243 @t248))) % 45.45/45.63 (step @p383 :rule cnf_or_pos :args (@t254)) % 45.45/45.63 (step @p384 :rule factoring :premises (@p383)) % 45.45/45.63 (step @p385 :rule reordering :premises (@p384) :args ((or @t163 @t253 @t252 @t251 @t250 @t249 (not @t254)))) % 45.45/45.63 (step @p386 :rule chain_m_resolution :premises (@p385 @p177 @p382 @p365 @p352 @p305 @p252) :args (@t249 (@list false false false false false false) (@list @t156 @t246 @t237 @t230 @t214 @t254))) % 45.45/45.63 (step @p387 :rule true_intro :premises (@p386)) % 45.45/45.63 (step @p388 :rule cong :premises (@p297 @p297) :args (@t213)) % 45.45/45.63 (step @p389 :rule instantiate :premises (@p209) :args ((@list @t139 @t139 @t169))) % 45.45/45.63 (step @p390 :rule cnf_or_pos :args (@t258)) % 45.45/45.63 (step @p391 :rule factoring :premises (@p390)) % 45.45/45.63 (step @p392 :rule reordering :premises (@p391) :args ((or @t185 @t203 @t257 (not @t258)))) % 45.45/45.63 (step @p393 :rule chain_m_resolution :premises (@p392 @p227 @p270 @p389) :args (@t257 @t151 (@list @t184 @t200 @t258))) % 45.45/45.63 (step @p394 :rule cnf_and_pos :args (@t257 1)) % 45.45/45.63 (step @p395 :rule reordering :premises (@p394) :args ((or @t256 (not @t257)))) % 45.45/45.63 (step @p396 :rule chain_m_resolution :premises (@p395 @p393) :args (@t256 @t166 (@list @t257))) % 45.45/45.63 (step @p397 :rule aci_norm :args ((= (or @t154 @t259) @t260))) % 45.45/45.63 (step @p398 :rule refl :args (@t259)) % 45.45/45.63 (step @p399 :rule nary_cong :premises (@p166 @p398) :args ((or @t155 @t259))) % 45.45/45.63 (step @p400 :rule trans :premises (@p399 @p397)) % 45.45/45.63 (step @p401 :rule bool-impl-elim :args (@t17 @t259)) % 45.45/45.63 (step @p402 :rule trans :premises (@p401 @p400)) % 45.45/45.63 (step @p403 :rule cong :premises (@p402) :args ((forall @t11 (=> @t17 @t259)))) % 45.45/45.63 (step @p404 :rule eq-symm :args (@t53 @t52)) % 45.45/45.63 (step @p405 :rule eq-symm :args (@t55 @t52)) % 45.45/45.63 (step @p406 :rule nary_cong :premises (@p405 @p404) :args (@t56)) % 45.45/45.63 (step @p407 :rule refl :args (@t17)) % 45.45/45.63 (step @p408 :rule cong :premises (@p407 @p406) :args (@t57)) % 45.45/45.63 (step @p409 :rule cong :premises (@p408) :args (@t58)) % 45.45/45.63 (step @p410 :rule trans :premises (@p409 @p403)) % 45.45/45.63 (step @p411 :rule eq_resolve :premises (@p17 @p410)) % 45.45/45.63 (step @p412 :rule refl :args (@t262)) % 45.45/45.63 (step @p413 :rule eq-symm :args (@t261 @t255)) % 45.45/45.63 (step @p414 :rule nary_cong :premises (@p413 @p412) :args (@t263)) % 45.45/45.63 (step @p415 :rule refl :args (@t265)) % 45.45/45.63 (step @p416 :rule nary_cong :premises (@p415 @p213 @p414) :args (@t266)) % 45.45/45.63 (step @p417 :rule refl :args (@t267)) % 45.45/45.63 (step @p418 :rule cong :premises (@p417 @p416) :args ((=> @t267 @t266))) % 45.45/45.63 (assume-push @p507 @t267) % 45.45/45.63 (step @p420 :rule instantiate :premises (@p411) :args ((@list @t179 @t138))) % 45.45/45.63 (step-pop @p508 :rule scope :premises (@p420)) % 45.45/45.63 (step @p421 :rule process_scope :premises (@p508) :args (@t266)) % 45.45/45.63 (step @p423 :rule eq_resolve :premises (@p421 @p418)) % 45.45/45.63 (step @p424 :rule implies_elim :premises (@p423)) % 45.45/45.63 (step @p425 :rule chain_m_resolution :premises (@p424 @p411) :args (@t270 @t166 (@list @t267))) % 45.45/45.63 (step @p426 :rule instantiate :premises (@p172) :args (@t217)) % 45.45/45.63 (step @p427 :rule cnf_or_pos :args (@t271)) % 45.45/45.63 (step @p428 :rule factoring :premises (@p427)) % 45.45/45.63 (step @p429 :rule reordering :premises (@p428) :args ((or @t185 @t264 (not @t271)))) % 45.45/45.63 (step @p430 :rule chain_m_resolution :premises (@p429 @p227 @p426) :args (@t264 @t146 (@list @t184 @t271))) % 45.45/45.63 (step @p431 :rule cnf_or_pos :args (@t270)) % 45.45/45.63 (step @p432 :rule reordering :premises (@p431) :args ((or @t174 @t265 @t269 (not @t270)))) % 45.45/45.63 (step @p433 :rule chain_m_resolution :premises (@p432 @p188 @p430 @p425) :args (@t269 @t151 (@list @t173 @t264 @t270))) % 45.45/45.63 (step @p434 :rule cnf_and_pos :args (@t269 0)) % 45.45/45.63 (step @p435 :rule reordering :premises (@p434) :args ((or @t268 (not @t269)))) % 45.45/45.63 (step @p436 :rule chain_m_resolution :premises (@p435 @p433) :args (@t268 @t166 (@list @t269))) % 45.45/45.63 (step @p437 :rule symm :premises (@p436)) % 45.45/45.63 (step @p438 :rule cong :premises (@p234) :args (@t158)) % 45.45/45.63 (step @p439 :rule trans :premises (@p438 @p437 @p396 @p388)) % 45.45/45.63 (step @p440 :rule cong :premises (@p340 @p439) :args (@t159)) % 45.45/45.63 (step @p441 :rule cnf_and_pos :args (@t162 4)) % 45.45/45.63 (step @p442 :rule reordering :premises (@p441) :args ((or @t160 @t165))) % 45.45/45.63 (step @p443 :rule chain_m_resolution :premises (@p442 @p180) :args (@t160 @t166 @t167)) % 45.45/45.63 (step @p444 :rule trans :premises (@p443 @p440)) % 45.45/45.63 (step @p445 :rule refl :args (@t196)) % 45.45/45.63 (step @p446 :rule cong :premises (@p348 @p445) :args (@t272)) % 45.45/45.63 (step @p447 :rule aci_norm :args ((= (or @t177 @t39) (or @t135 @t134 @t133 @t39)))) % 45.45/45.63 (step @p448 :rule refl :args (@t39)) % 45.45/45.63 (step @p449 :rule nary_cong :premises (@p203 @p448) :args ((or @t178 @t39))) % 45.45/45.63 (step @p450 :rule trans :premises (@p449 @p447)) % 45.45/45.63 (step @p451 :rule bool-impl-elim :args (@t41 @t39)) % 45.45/45.63 (step @p452 :rule trans :premises (@p451 @p450)) % 45.45/45.63 (step @p453 :rule cong :premises (@p452) :args (@t43)) % 45.45/45.63 (step @p454 :rule eq_resolve :premises (@p14 @p453)) % 45.45/45.63 (step @p455 :rule instantiate :premises (@p454) :args ((@list @t216 @t195 @t195))) % 45.45/45.63 (step @p456 :rule instantiate :premises (@p266) :args (@t141)) % 45.45/45.63 (step @p457 :rule cnf_or_pos :args (@t274)) % 45.45/45.63 (step @p458 :rule reordering :premises (@p457) :args ((or @t144 @t273 (not @t274)))) % 45.45/45.63 (step @p459 :rule chain_m_resolution :premises (@p458 @p138 @p456) :args (@t273 @t146 (@list @t143 @t274))) % 45.45/45.63 (step @p460 :rule cnf_or_pos :args (@t280)) % 45.45/45.63 (step @p461 :rule factoring :premises (@p460)) % 45.45/45.63 (step @p462 :rule reordering :premises (@p461) :args ((or @t279 @t228 @t278 (not @t280)))) % 45.45/45.64 (step @p463 :rule chain_m_resolution :premises (@p462 @p459 @p328 @p455) :args (@t278 @t151 (@list @t273 @t222 @t280))) % 45.45/45.64 (step @p464 :rule cnf_and_pos :args (@t278 0)) % 45.45/45.64 (step @p465 :rule reordering :premises (@p464) :args ((or @t277 (not @t278)))) % 45.45/45.64 (step @p466 :rule chain_m_resolution :premises (@p465 @p463) :args (@t277 @t166 (@list @t278))) % 45.45/45.64 (step @p467 :rule cong :premises (@p331 @p284) :args (@t121)) % 45.45/45.64 (step @p468 :rule cong :premises (@p467 @p284) :args (@t122)) % 45.45/45.64 (step @p469 :rule cong :premises (@p342 @p468) :args (@t123)) % 45.45/45.64 (step @p470 :rule eq_resolve :premises (@p61 @p469)) % 45.45/45.64 (step @p471 :rule trans :premises (@p470 @p466 @p446)) % 45.45/45.64 (step @p472 :rule cong :premises (@p471 @p444) :args (@t281)) % 45.45/45.64 (step @p473 :rule trans :premises (@p472 @p387)) % 45.45/45.64 (step @p474 :rule true_elim :premises (@p473)) % 45.45/45.64 (step @p475 :rule refl :args (tptp.sz0z00)) % 45.45/45.64 (step @p476 :rule cong :premises (@p475 @p342) :args (@t126)) % 45.45/45.64 (step @p477 :rule eq_resolve :premises (@p63 @p476)) % 45.45/45.64 (step @p478 :rule cnf_or_pos :args (@t287)) % 45.45/45.64 (step @p479 :rule reordering :premises (@p478) :args ((or @t286 @t285 @t244 @t283 @t282 (not @t287)))) % 45.45/45.64 (step @p480 :rule chain_m_resolution :premises (@p479 @p9 @p477 @p376 @p474 @p251) :args (@t282 (@list false false false false false) (@list @t13 @t284 @t240 @t281 @t287))) % 45.45/45.64 (step @p481 :rule symm :premises (@p480)) % 45.45/45.64 (step @p482 :rule trans :premises (@p481 @p194)) % 45.45/45.64 (step @p483 :rule cong :premises (@p234 @p482) :args (@t288)) % 45.45/45.64 (step @p484 :rule instantiate :premises (@p454) :args ((@list @t194 @t147 @t195))) % 45.45/45.64 (step @p485 :rule cnf_or_pos :args (@t293)) % 45.45/45.64 (step @p486 :rule reordering :premises (@p485) :args ((or @t279 @t244 @t163 @t292 (not @t293)))) % 45.45/45.64 (step @p487 :rule chain_m_resolution :premises (@p486 @p459 @p376 @p177 @p484) :args (@t292 (@list false false false false) (@list @t273 @t240 @t156 @t293))) % 45.45/45.64 (step @p488 :rule cnf_and_pos :args (@t292 1)) % 45.45/45.64 (step @p489 :rule reordering :premises (@p488) :args ((or @t291 (not @t292)))) % 45.45/45.64 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t291 @t166 (@list @t292))) % 45.45/45.64 (step @p491 :rule instantiate :premises (@p454) :args ((@list @t194 @t140 @t140))) % 45.45/45.64 (step @p492 :rule cnf_or_pos :args (@t297)) % 45.45/45.64 (step @p493 :rule factoring :premises (@p492)) % 45.45/45.64 (step @p494 :rule reordering :premises (@p493) :args ((or @t144 @t244 @t296 (not @t297)))) % 45.45/45.64 (step @p495 :rule chain_m_resolution :premises (@p494 @p138 @p376 @p491) :args (@t296 @t151 (@list @t143 @t240 @t297))) % 45.45/45.64 (step @p496 :rule cnf_and_pos :args (@t296 0)) % 45.45/45.64 (step @p497 :rule reordering :premises (@p496) :args ((or @t295 (not @t296)))) % 45.45/45.64 (step @p498 :rule chain_m_resolution :premises (@p497 @p495) :args (@t295 @t166 (@list @t296))) % 45.45/45.64 (step @p499 :rule trans :premises (@p348 @p498 @p490 @p483 @p236 @p184)) % 45.45/45.64 (step @p500 :rule cong :premises (@p340 @p499) :args (@t227)) % 45.45/45.64 (step @p501 :rule false_intro :premises (@p335)) % 45.45/45.64 (step @p502 :rule symm :premises (@p501)) % 45.45/45.64 (step @p503 :rule trans :premises (@p502 @p500 @p146)) % 45.45/45.64 (step @p504 false :rule eq_resolve :premises (@p503 @p66)) % 45.45/45.64 ) % 45.45/45.64 % SZS output end Proof % 45.45/45.64 % cvc5 exiting %------------------------------------------------------------------------------