%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG063+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 : n013.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 08:45:32 AM UTC 2026 % Result : Theorem 35.35s 35.59s % Output : Proof 35.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG063+2 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:04:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.35/35.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.35/35.59 --- Run --no-e-matching --full-saturate-quant at 6... % 35.35/35.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.35/35.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.35/35.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.35/35.59 % SZS status Theorem % 35.35/35.59 % SZS output start Proof % 35.35/35.59 ( % 35.35/35.59 (declare-sort $$unsorted 0) % 35.35/35.59 (declare-const tptp.xN $$unsorted) % 35.35/35.59 (declare-const tptp.xS $$unsorted) % 35.35/35.59 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.35/35.59 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.sz00 $$unsorted) % 35.35/35.59 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 35.35/35.59 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xp $$unsorted) % 35.35/35.59 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xG $$unsorted) % 35.35/35.59 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xF $$unsorted) % 35.35/35.59 (declare-const tptp.sz0z00 $$unsorted) % 35.35/35.59 (declare-const tptp.xC $$unsorted) % 35.35/35.59 (declare-const tptp.xR $$unsorted) % 35.35/35.59 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 35.35/35.59 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xs $$unsorted) % 35.35/35.59 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xq $$unsorted) % 35.35/35.59 (declare-const tptp.xP $$unsorted) % 35.35/35.59 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 35.35/35.59 (declare-const tptp.xA $$unsorted) % 35.35/35.59 (declare-const tptp.xB $$unsorted) % 35.35/35.59 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.35/35.59 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 35.35/35.59 (declare-const tptp.xt $$unsorted) % 35.35/35.59 (declare-const tptp.xD $$unsorted) % 35.35/35.59 (declare-const tptp.xE $$unsorted) % 35.35/35.59 (declare-const tptp.xH $$unsorted) % 35.35/35.59 (define @t1 () (@var "W0" $$unsorted)) % 35.35/35.59 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 35.35/35.59 (define @t3 () (@list @t1)) % 35.35/35.59 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 35.35/35.59 (define @t5 () (@var "W1" $$unsorted)) % 35.35/35.59 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 35.35/35.59 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 35.35/35.59 (define @t8 () (@list @t5)) % 35.35/35.59 (define @t9 () (= @t1 @t5)) % 35.35/35.59 (define @t10 () (and @t2 @t7)) % 35.35/35.59 (define @t11 () (@list @t1 @t5)) % 35.35/35.59 (define @t12 () (tptp.aScalar0 @t1)) % 35.35/35.59 (define @t13 () (tptp.aScalar0 tptp.sz0z00)) % 35.35/35.59 (define @t14 () (tptp.sdtpldt0 @t1 @t5)) % 35.35/35.59 (define @t15 () (tptp.aScalar0 @t14)) % 35.35/35.59 (define @t16 () (tptp.aScalar0 @t5)) % 35.35/35.59 (define @t17 () (and @t12 @t16)) % 35.35/35.59 (define @t18 () (forall @t11 (=> @t17 @t15))) % 35.35/35.59 (define @t19 () (tptp.sdtasdt0 @t1 @t5)) % 35.35/35.59 (define @t20 () (tptp.aScalar0 @t19)) % 35.35/35.59 (define @t21 () (forall @t11 (=> @t17 @t20))) % 35.35/35.59 (define @t22 () (tptp.smndt0 @t1)) % 35.35/35.59 (define @t23 () (tptp.aScalar0 @t22)) % 35.35/35.59 (define @t24 () (forall @t3 (=> @t12 @t23))) % 35.35/35.59 (define @t25 () (tptp.smndt0 tptp.sz0z00)) % 35.35/35.59 (define @t26 () (tptp.smndt0 @t22)) % 35.35/35.59 (define @t27 () (tptp.sdtpldt0 @t22 @t1)) % 35.35/35.59 (define @t28 () (tptp.sdtpldt0 @t1 @t22)) % 35.35/35.59 (define @t29 () (tptp.sdtasdt0 tptp.sz0z00 @t1)) % 35.35/35.59 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz0z00)) % 35.35/35.59 (define @t31 () (tptp.sdtpldt0 tptp.sz0z00 @t1)) % 35.35/35.59 (define @t32 () (tptp.sdtpldt0 @t1 tptp.sz0z00)) % 35.35/35.59 (define @t33 () (and (= @t32 @t1) (= @t31 @t1) (= @t30 tptp.sz0z00) (= @t29 tptp.sz0z00) (= @t28 tptp.sz0z00) (= @t27 tptp.sz0z00) (= @t26 @t1) (= @t25 tptp.sz0z00))) % 35.35/35.59 (define @t34 () (=> @t12 @t33)) % 35.35/35.59 (define @t35 () (forall @t3 @t34)) % 35.35/35.59 (define @t36 () (@var "W2" $$unsorted)) % 35.35/35.59 (define @t37 () (tptp.sdtasdt0 @t5 @t36)) % 35.35/35.59 (define @t38 () (tptp.sdtpldt0 @t5 @t36)) % 35.35/35.59 (define @t39 () (and (= (tptp.sdtpldt0 @t14 @t36) (tptp.sdtpldt0 @t1 @t38)) (= @t14 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t19 @t36) (tptp.sdtasdt0 @t1 @t37)) (= @t19 (tptp.sdtasdt0 @t5 @t1)))) % 35.35/35.59 (define @t40 () (tptp.aScalar0 @t36)) % 35.35/35.59 (define @t41 () (and @t12 @t16 @t40)) % 35.35/35.59 (define @t42 () (@list @t1 @t5 @t36)) % 35.35/35.59 (define @t43 () (forall @t42 (=> @t41 @t39))) % 35.35/35.59 (define @t44 () (tptp.sdtasdt0 @t1 @t36)) % 35.35/35.59 (define @t45 () (@var "W3" $$unsorted)) % 35.35/35.59 (define @t46 () (tptp.sdtasdt0 @t5 @t45)) % 35.35/35.59 (define @t47 () (and @t12 @t16 @t40 (tptp.aScalar0 @t45))) % 35.35/35.59 (define @t48 () (@list @t1 @t5 @t36 @t45)) % 35.35/35.59 (define @t49 () (tptp.smndt0 @t19)) % 35.35/35.59 (define @t50 () (tptp.smndt0 @t5)) % 35.35/35.59 (define @t51 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.35/35.59 (define @t52 () (tptp.sdtlseqdt0 @t5 @t1)) % 35.35/35.59 (define @t53 () (tptp.sdtlseqdt0 @t36 @t45)) % 35.35/35.59 (define @t54 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 35.35/35.59 (define @t55 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 35.35/35.59 (define @t56 () (tptp.sdtasdt0 @t1 @t1)) % 35.35/35.59 (define @t57 () (tptp.aVector0 @t1)) % 35.35/35.59 (define @t58 () (tptp.aDimensionOf0 @t1)) % 35.35/35.59 (define @t59 () (tptp.aDimensionOf0 @t5)) % 35.35/35.59 (define @t60 () (tptp.aVector0 @t5)) % 35.35/35.59 (define @t61 () (tptp.sziznziztdt0 @t1)) % 35.35/35.59 (define @t62 () (tptp.sziznziztdt0 @t5)) % 35.35/35.59 (define @t63 () (= @t59 tptp.sz00)) % 35.35/35.59 (define @t64 () (= @t58 @t59)) % 35.35/35.59 (define @t65 () (and @t64 (not @t63))) % 35.35/35.59 (define @t66 () (and @t57 @t60)) % 35.35/35.59 (define @t67 () (tptp.sdtasasdt0 @t1 @t5)) % 35.35/35.59 (define @t68 () (tptp.sdtasasdt0 @t1 @t1)) % 35.35/35.59 (define @t69 () (tptp.aDimensionOf0 tptp.xs)) % 35.35/35.59 (define @t70 () (tptp.aDimensionOf0 tptp.xt)) % 35.35/35.59 (define @t71 () (tptp.sziznziztdt0 tptp.xs)) % 35.35/35.59 (define @t72 () (tptp.sziznziztdt0 tptp.xt)) % 35.35/35.59 (define @t73 () (tptp.sdtlbdtrb0 tptp.xs @t69)) % 35.35/35.59 (define @t74 () (tptp.sdtlbdtrb0 tptp.xt @t70)) % 35.35/35.59 (define @t75 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 35.35/35.59 (define @t76 () (= tptp.xC @t75)) % 35.35/35.59 (define @t77 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 35.35/35.59 (define @t78 () (= tptp.xD @t77)) % 35.35/35.59 (define @t79 () (tptp.sdtasdt0 tptp.xA tptp.xA)) % 35.35/35.59 (define @t80 () (= tptp.xF @t79)) % 35.35/35.59 (define @t81 () (tptp.sdtasdt0 tptp.xB tptp.xB)) % 35.35/35.59 (define @t82 () (= tptp.xG @t81)) % 35.35/35.59 (define @t83 () (tptp.sdtasdt0 tptp.xC tptp.xG)) % 35.35/35.59 (define @t84 () (= tptp.xR @t83)) % 35.35/35.59 (define @t85 () (tptp.aScalar0 tptp.xR)) % 35.35/35.59 (define @t86 () (tptp.sdtasdt0 tptp.xF tptp.xD)) % 35.35/35.59 (define @t87 () (= tptp.xS @t86)) % 35.35/35.59 (define @t88 () (tptp.aScalar0 tptp.xS)) % 35.35/35.59 (define @t89 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 35.35/35.59 (define @t90 () (= tptp.xN @t89)) % 35.35/35.59 (define @t91 () (tptp.aScalar0 tptp.xN)) % 35.35/35.59 (define @t92 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 35.35/35.59 (define @t93 () (tptp.smndt0 tptp.xS)) % 35.35/35.59 (define @t94 () (tptp.smndt0 tptp.xN)) % 35.35/35.59 (define @t95 () (tptp.sdtasdt0 @t93 tptp.xR)) % 35.35/35.59 (define @t96 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 35.35/35.59 (define @t97 () (tptp.sdtpldt0 @t96 @t94)) % 35.35/35.59 (define @t98 () (tptp.sdtpldt0 tptp.xR @t93)) % 35.35/35.59 (define @t99 () (tptp.sdtasdt0 @t98 @t98)) % 35.35/35.59 (define @t100 () (tptp.sdtpldt0 @t92 @t94)) % 35.35/35.59 (define @t101 () (tptp.sdtpldt0 @t97 @t100)) % 35.35/35.59 (define @t102 () (= @t99 @t101)) % 35.35/35.59 (define @t103 () (tptp.sdtpldt0 @t96 @t92)) % 35.35/35.59 (define @t104 () (tptp.sdtpldt0 @t99 tptp.xN)) % 35.35/35.59 (define @t105 () (tptp.sdtpldt0 @t104 tptp.xN)) % 35.35/35.59 (define @t106 () (not (= @t105 @t103))) % 35.35/35.59 (define @t107 () (= @t103 @t105)) % 35.35/35.59 (define @t108 () (= tptp.sz0z00 @t25)) % 35.35/35.59 (define @t109 () (and (= @t1 @t32) (= @t1 @t31) (= tptp.sz0z00 @t30) (= tptp.sz0z00 @t29) (= tptp.sz0z00 @t28) (= tptp.sz0z00 @t27) (= @t1 @t26) @t108)) % 35.35/35.59 (define @t110 () (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 tptp.sz0z00))) % 35.35/35.59 (define @t111 () (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 tptp.sz0z00))) % 35.35/35.59 (define @t112 () (and @t111 @t111 @t110 @t110 (= tptp.sz0z00 (tptp.sdtpldt0 tptp.sz0z00 @t25)) (= tptp.sz0z00 (tptp.sdtpldt0 @t25 tptp.sz0z00)) (= tptp.sz0z00 (tptp.smndt0 @t25)) @t108)) % 35.35/35.59 (define @t113 () (not @t13)) % 35.35/35.59 (define @t114 () (or @t113 @t112)) % 35.35/35.59 (define @t115 () (@list false false)) % 35.35/35.59 (define @t116 () (@list false)) % 35.35/35.59 (define @t117 () (tptp.sdtasdt0 (tptp.sdtasdt0 @t73 @t73) (tptp.sdtasasdt0 @t72 @t72))) % 35.35/35.59 (define @t118 () (tptp.sdtasdt0 (tptp.sdtasasdt0 @t71 @t71) (tptp.sdtasdt0 @t74 @t74))) % 35.35/35.59 (define @t119 () (tptp.sdtasdt0 @t118 @t117)) % 35.35/35.59 (define @t120 () (@list @t119)) % 35.35/35.59 (define @t121 () (tptp.smndt0 @t119)) % 35.35/35.59 (define @t122 () (tptp.sdtpldt0 @t121 @t119)) % 35.35/35.59 (define @t123 () (= tptp.sz0z00 @t122)) % 35.35/35.59 (define @t124 () (= tptp.sz0z00 (tptp.sdtpldt0 @t119 @t121))) % 35.35/35.59 (define @t125 () (and (= @t119 (tptp.sdtpldt0 @t119 tptp.sz0z00)) (= @t119 (tptp.sdtpldt0 tptp.sz0z00 @t119)) (= tptp.sz0z00 (tptp.sdtasdt0 @t119 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t119)) @t124 @t123 (= @t119 (tptp.smndt0 @t121)) @t108)) % 35.35/35.59 (define @t126 () (tptp.aScalar0 @t119)) % 35.35/35.59 (define @t127 () (not @t126)) % 35.35/35.59 (define @t128 () (or @t127 @t125)) % 35.35/35.59 (define @t129 () (not @t125)) % 35.35/35.59 (define @t130 () (@list @t125)) % 35.35/35.59 (define @t131 () (not @t40)) % 35.35/35.59 (define @t132 () (not @t16)) % 35.35/35.59 (define @t133 () (not @t12)) % 35.35/35.59 (define @t134 () (or @t133 @t132 @t131 @t39)) % 35.35/35.59 (define @t135 () (or @t133 @t132 @t131)) % 35.35/35.59 (define @t136 () (tptp.sdtasdt0 @t117 @t117)) % 35.35/35.59 (define @t137 () (tptp.sdtasdt0 @t118 @t118)) % 35.35/35.59 (define @t138 () (or @t133 @t132)) % 35.35/35.59 (define @t139 () (not @t17)) % 35.35/35.59 (define @t140 () (tptp.aScalar0 @t137)) % 35.35/35.59 (define @t141 () (tptp.aScalar0 @t118)) % 35.35/35.59 (define @t142 () (not @t141)) % 35.35/35.59 (define @t143 () (or @t142 @t142 @t140)) % 35.35/35.59 (define @t144 () (tptp.aScalar0 @t136)) % 35.35/35.59 (define @t145 () (tptp.aScalar0 @t117)) % 35.35/35.59 (define @t146 () (not @t145)) % 35.35/35.59 (define @t147 () (or @t146 @t146 @t144)) % 35.35/35.59 (define @t148 () (tptp.aScalar0 @t121)) % 35.35/35.59 (define @t149 () (or @t127 @t148)) % 35.35/35.59 (define @t150 () (tptp.sdtasdt0 @t136 @t137)) % 35.35/35.59 (define @t151 () (tptp.sdtasdt0 @t137 @t136)) % 35.35/35.59 (define @t152 () (= @t151 @t150)) % 35.35/35.59 (define @t153 () (tptp.sdtasdt0 @t136 @t121)) % 35.35/35.59 (define @t154 () (tptp.sdtpldt0 @t136 @t137)) % 35.35/35.59 (define @t155 () (tptp.sdtpldt0 @t137 @t136)) % 35.35/35.59 (define @t156 () (= @t155 @t154)) % 35.35/35.59 (define @t157 () (tptp.sdtpldt0 @t136 @t121)) % 35.35/35.59 (define @t158 () (tptp.sdtpldt0 @t155 @t121)) % 35.35/35.59 (define @t159 () (and (= @t158 (tptp.sdtpldt0 @t137 @t157)) @t156 (= (tptp.sdtasdt0 @t151 @t121) (tptp.sdtasdt0 @t137 @t153)) @t152)) % 35.35/35.59 (define @t160 () (not @t148)) % 35.35/35.59 (define @t161 () (not @t144)) % 35.35/35.59 (define @t162 () (not @t140)) % 35.35/35.59 (define @t163 () (or @t162 @t161 @t160 @t159)) % 35.35/35.59 (define @t164 () (@list false false false false)) % 35.35/35.59 (define @t165 () (tptp.aScalar0 @t155)) % 35.35/35.59 (define @t166 () (or @t162 @t161 @t165)) % 35.35/35.59 (define @t167 () (@list false false false)) % 35.35/35.59 (define @t168 () (tptp.sdtasdt0 @t155 @t121)) % 35.35/35.59 (define @t169 () (= @t158 (tptp.sdtpldt0 @t121 @t155))) % 35.35/35.59 (define @t170 () (and (= (tptp.sdtpldt0 @t158 @t121) (tptp.sdtpldt0 @t155 (tptp.sdtpldt0 @t121 @t121))) @t169 (= (tptp.sdtasdt0 @t168 @t121) (tptp.sdtasdt0 @t155 (tptp.sdtasdt0 @t121 @t121))) (= @t168 (tptp.sdtasdt0 @t121 @t155)))) % 35.35/35.59 (define @t171 () (not @t165)) % 35.35/35.59 (define @t172 () (or @t171 @t160 @t160 @t170)) % 35.35/35.59 (define @t173 () (tptp.sdtpldt0 @t137 @t121)) % 35.35/35.59 (define @t174 () (tptp.sdtasdt0 @t173 @t136)) % 35.35/35.59 (define @t175 () (= @t174 (tptp.sdtasdt0 @t136 @t173))) % 35.35/35.59 (define @t176 () (= (tptp.sdtasdt0 @t174 @t121) (tptp.sdtasdt0 @t173 @t153))) % 35.35/35.59 (define @t177 () (tptp.sdtpldt0 @t136 @t173)) % 35.35/35.59 (define @t178 () (tptp.sdtpldt0 @t173 @t136)) % 35.35/35.59 (define @t179 () (= @t178 @t177)) % 35.35/35.59 (define @t180 () (tptp.sdtpldt0 @t178 @t121)) % 35.35/35.59 (define @t181 () (tptp.sdtpldt0 @t173 @t157)) % 35.35/35.59 (define @t182 () (and (= @t180 @t181) @t179 @t176 @t175)) % 35.35/35.59 (define @t183 () (tptp.aScalar0 @t173)) % 35.35/35.59 (define @t184 () (not @t183)) % 35.35/35.59 (define @t185 () (or @t184 @t161 @t160 @t182)) % 35.35/35.59 (define @t186 () (forall @t42 @t134)) % 35.35/35.59 (define @t187 () (= @t181 @t180)) % 35.35/35.59 (define @t188 () (and @t187 @t179 @t176 @t175)) % 35.35/35.59 (define @t189 () (or @t184 @t161 @t160 @t188)) % 35.35/35.59 (define @t190 () (@list @t186)) % 35.35/35.59 (define @t191 () (or @t162 @t160 @t183)) % 35.35/35.59 (define @t192 () (not @t188)) % 35.35/35.59 (define @t193 () (@list @t188)) % 35.35/35.59 (define @t194 () (tptp.smndt0 @t117)) % 35.35/35.59 (define @t195 () (tptp.sdtpldt0 @t118 @t194)) % 35.35/35.59 (define @t196 () (tptp.sdtasdt0 @t195 @t195)) % 35.35/35.59 (define @t197 () (tptp.aScalar0 @t194)) % 35.35/35.59 (define @t198 () (or @t146 @t197)) % 35.35/35.59 (define @t199 () (tptp.aScalar0 @t195)) % 35.35/35.59 (define @t200 () (not @t197)) % 35.35/35.59 (define @t201 () (or @t142 @t200 @t199)) % 35.35/35.59 (define @t202 () (tptp.aScalar0 @t196)) % 35.35/35.59 (define @t203 () (not @t199)) % 35.35/35.59 (define @t204 () (or @t203 @t203 @t202)) % 35.35/35.59 (define @t205 () (tptp.sdtasdt0 @t119 @t196)) % 35.35/35.59 (define @t206 () (tptp.sdtasdt0 @t196 @t119)) % 35.35/35.59 (define @t207 () (= @t206 @t205)) % 35.35/35.59 (define @t208 () (tptp.sdtpldt0 @t119 @t196)) % 35.35/35.59 (define @t209 () (tptp.sdtpldt0 @t196 @t119)) % 35.35/35.59 (define @t210 () (= @t209 @t208)) % 35.35/35.59 (define @t211 () (tptp.sdtpldt0 @t209 @t119)) % 35.35/35.59 (define @t212 () (and (= @t211 (tptp.sdtpldt0 @t196 (tptp.sdtpldt0 @t119 @t119))) @t210 (= (tptp.sdtasdt0 @t206 @t119) (tptp.sdtasdt0 @t196 (tptp.sdtasdt0 @t119 @t119))) @t207)) % 35.35/35.59 (define @t213 () (not @t202)) % 35.35/35.59 (define @t214 () (or @t213 @t127 @t127 @t212)) % 35.35/35.59 (define @t215 () (tptp.smndt0 @t155)) % 35.35/35.59 (define @t216 () (= @t155 (tptp.sdtpldt0 tptp.sz0z00 @t155))) % 35.35/35.59 (define @t217 () (and (= @t155 (tptp.sdtpldt0 @t155 tptp.sz0z00)) @t216 (= tptp.sz0z00 (tptp.sdtasdt0 @t155 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t155)) (= tptp.sz0z00 (tptp.sdtpldt0 @t155 @t215)) (= tptp.sz0z00 (tptp.sdtpldt0 @t215 @t155)) (= @t155 (tptp.smndt0 @t215)) @t108)) % 35.35/35.59 (define @t218 () (or @t171 @t217)) % 35.35/35.59 (define @t219 () (tptp.aScalar0 @t158)) % 35.35/35.59 (define @t220 () (or @t171 @t160 @t219)) % 35.35/35.59 (define @t221 () (tptp.smndt0 @t158)) % 35.35/35.59 (define @t222 () (tptp.sdtpldt0 @t158 tptp.sz0z00)) % 35.35/35.59 (define @t223 () (= @t158 @t222)) % 35.35/35.59 (define @t224 () (and @t223 (= @t158 (tptp.sdtpldt0 tptp.sz0z00 @t158)) (= tptp.sz0z00 (tptp.sdtasdt0 @t158 tptp.sz0z00)) (= tptp.sz0z00 (tptp.sdtasdt0 tptp.sz0z00 @t158)) (= tptp.sz0z00 (tptp.sdtpldt0 @t158 @t221)) (= tptp.sz0z00 (tptp.sdtpldt0 @t221 @t158)) (= @t158 (tptp.smndt0 @t221)) @t108)) % 35.35/35.59 (define @t225 () (not @t219)) % 35.35/35.59 (define @t226 () (or @t225 @t224)) % 35.35/35.59 (define @t227 () (= (tptp.sdtasdt0 @t150 @t121) (tptp.sdtasdt0 @t136 (tptp.sdtasdt0 @t137 @t121)))) % 35.35/35.59 (define @t228 () (tptp.sdtpldt0 @t154 @t121)) % 35.35/35.59 (define @t229 () (and (= @t228 @t177) (= @t154 @t155) @t227 (= @t150 @t151))) % 35.35/35.59 (define @t230 () (or @t161 @t162 @t160 @t229)) % 35.35/35.59 (define @t231 () (= @t177 @t228)) % 35.35/35.59 (define @t232 () (and @t231 @t156 @t227 @t152)) % 35.35/35.59 (define @t233 () (or @t161 @t162 @t160 @t232)) % 35.35/35.59 (define @t234 () (= (tptp.sdtasdt0 @t205 @t119) (tptp.sdtasdt0 @t119 @t206))) % 35.35/35.59 (define @t235 () (tptp.sdtpldt0 @t208 @t119)) % 35.35/35.59 (define @t236 () (= @t235 (tptp.sdtpldt0 @t119 @t209))) % 35.35/35.59 (define @t237 () (and @t236 (= @t208 @t209) @t234 (= @t205 @t206))) % 35.35/35.59 (define @t238 () (or @t127 @t213 @t127 @t237)) % 35.35/35.59 (define @t239 () (and @t236 @t210 @t234 @t207)) % 35.35/35.59 (define @t240 () (or @t127 @t213 @t127 @t239)) % 35.35/35.59 (define @t241 () (tptp.aScalar0 @t178)) % 35.35/35.59 (define @t242 () (or @t184 @t161 @t241)) % 35.35/35.59 (define @t243 () (tptp.sdtasdt0 @t178 @t121)) % 35.35/35.59 (define @t244 () (tptp.sdtpldt0 @t180 @t119)) % 35.35/35.59 (define @t245 () (= @t244 (tptp.sdtpldt0 @t178 @t122))) % 35.35/35.59 (define @t246 () (and @t245 (= @t180 (tptp.sdtpldt0 @t121 @t178)) (= (tptp.sdtasdt0 @t243 @t119) (tptp.sdtasdt0 @t178 (tptp.sdtasdt0 @t121 @t119))) (= @t243 (tptp.sdtasdt0 @t121 @t178)))) % 35.35/35.59 (define @t247 () (not @t241)) % 35.35/35.59 (define @t248 () (or @t247 @t160 @t127 @t246)) % 35.35/35.59 (define @t249 () (tptp.sdtasdt0 @t194 @t118)) % 35.35/35.59 (define @t250 () (tptp.aScalar0 @t249)) % 35.35/35.59 (define @t251 () (or @t200 @t142 @t250)) % 35.35/35.59 (define @t252 () (tptp.sdtasdt0 @t119 @t249)) % 35.35/35.59 (define @t253 () (tptp.sdtpldt0 @t119 @t249)) % 35.35/35.59 (define @t254 () (tptp.sdtpldt0 @t249 @t155)) % 35.35/35.59 (define @t255 () (tptp.sdtpldt0 @t119 @t254)) % 35.35/35.59 (define @t256 () (tptp.sdtpldt0 @t253 @t155)) % 35.35/35.59 (define @t257 () (= @t256 @t255)) % 35.35/35.59 (define @t258 () (and @t257 (= @t253 (tptp.sdtpldt0 @t249 @t119)) (= (tptp.sdtasdt0 @t252 @t155) (tptp.sdtasdt0 @t119 (tptp.sdtasdt0 @t249 @t155))) (= @t252 (tptp.sdtasdt0 @t249 @t119)))) % 35.35/35.59 (define @t259 () (not @t250)) % 35.35/35.59 (define @t260 () (or @t127 @t259 @t171 @t258)) % 35.35/35.59 (define @t261 () (not @t257)) % 35.35/35.59 (define @t262 () (not @t236)) % 35.35/35.59 (define @t263 () (not @t245)) % 35.35/35.59 (define @t264 () (not @t231)) % 35.35/35.59 (define @t265 () (not @t223)) % 35.35/35.59 (define @t266 () (not @t216)) % 35.35/35.59 (define @t267 () (not @t187)) % 35.35/35.59 (define @t268 () (not @t179)) % 35.35/35.59 (define @t269 () (not @t210)) % 35.35/35.59 (define @t270 () (not @t169)) % 35.35/35.59 (define @t271 () (not @t156)) % 35.35/35.59 (define @t272 () (not @t123)) % 35.35/35.59 (define @t273 () (not @t124)) % 35.35/35.59 (define @t274 () (not @t110)) % 35.35/35.59 (define @t275 () (= @t155 @t211)) % 35.35/35.59 (define @t276 () (= @t196 @t181)) % 35.35/35.59 (define @t277 () (not @t276)) % 35.35/35.59 (define @t278 () (= @t121 @t249)) % 35.35/35.59 (define @t279 () (not @t278)) % 35.35/35.59 (define @t280 () (not @t275)) % 35.35/35.59 (define @t281 () (and @t257 @t261)) % 35.35/35.59 (assume @p1 (forall @t3 (=> @t2 true))) % 35.35/35.59 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 35.35/35.59 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 35.35/35.59 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 35.35/35.59 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 35.35/35.59 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.35/35.59 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 35.35/35.59 (assume @p8 (forall @t3 (=> @t12 true))) % 35.35/35.59 (assume @p9 @t13) % 35.35/35.59 (assume @p10 @t18) % 35.35/35.59 (assume @p11 @t21) % 35.35/35.59 (assume @p12 @t24) % 35.35/35.59 (assume @p13 @t35) % 35.35/35.59 (assume @p14 @t43) % 35.35/35.59 (assume @p15 (forall @t42 (=> @t41 (and (= (tptp.sdtasdt0 @t1 @t38) (tptp.sdtpldt0 @t19 @t44)) (= (tptp.sdtasdt0 @t14 @t36) (tptp.sdtpldt0 @t44 @t37)))))) % 35.35/35.59 (assume @p16 (forall @t48 (=> @t47 (= (tptp.sdtasdt0 @t14 (tptp.sdtpldt0 @t36 @t45)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t44 (tptp.sdtasdt0 @t1 @t45)) (tptp.sdtpldt0 @t37 @t46)))))) % 35.35/35.59 (assume @p17 (forall @t11 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t50) @t49) (= (tptp.sdtasdt0 @t22 @t5) @t49))))) % 35.35/35.59 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t22 @t50) @t19)))) % 35.35/35.59 (assume @p19 (forall @t11 (=> @t17 (=> @t51 true)))) % 35.35/35.59 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.35/35.59 (assume @p21 (forall @t11 (=> @t17 (=> (and @t51 @t52) @t9)))) % 35.35/35.59 (assume @p22 (forall @t42 (=> @t41 (=> (and @t51 (tptp.sdtlseqdt0 @t5 @t36)) (tptp.sdtlseqdt0 @t1 @t36))))) % 35.35/35.59 (assume @p23 (forall @t48 (=> @t47 (=> (and @t51 @t53) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t36) (tptp.sdtpldt0 @t5 @t45)))))) % 35.35/35.59 (assume @p24 (forall @t48 (=> @t47 (=> (and @t51 (tptp.sdtlseqdt0 tptp.sz0z00 @t36) @t53) (tptp.sdtlseqdt0 @t44 @t46))))) % 35.35/35.59 (assume @p25 (forall @t11 (=> @t17 (or @t51 @t52)))) % 35.35/35.59 (assume @p26 (forall @t11 (=> @t17 (=> (and @t55 @t54) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t14) (tptp.sdtlseqdt0 tptp.sz0z00 @t19)))))) % 35.35/35.59 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t56)))) % 35.35/35.59 (assume @p28 (forall @t11 (=> @t17 (=> (and @t55 @t54 (= @t56 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 35.35/35.59 (assume @p29 (forall @t3 (=> @t57 true))) % 35.35/35.59 (assume @p30 (forall @t3 (=> @t57 (tptp.aNaturalNumber0 @t58)))) % 35.35/35.59 (assume @p31 (forall @t11 (=> (and @t57 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 35.35/35.59 (assume @p32 (forall @t3 (=> @t57 (=> (not (= @t58 tptp.sz00)) (forall @t8 (= (= @t5 @t61) (and @t60 (= (tptp.szszuzczcdt0 @t59) @t58) (forall (@list @t36) (=> (tptp.aNaturalNumber0 @t36) (= (tptp.sdtlbdtrb0 @t5 @t36) (tptp.sdtlbdtrb0 @t1 @t36))))))))))) % 35.35/35.59 (assume @p33 (forall @t11 (=> @t66 (=> @t65 (= (tptp.aDimensionOf0 @t61) (tptp.aDimensionOf0 @t62)))))) % 35.35/35.59 (assume @p34 (forall @t11 (=> @t66 (=> @t64 (tptp.aScalar0 @t67))))) % 35.35/35.59 (assume @p35 (forall @t11 (=> @t66 (=> (and @t64 @t63) (= @t67 tptp.sz0z00))))) % 35.35/35.59 (assume @p36 (forall @t11 (=> @t66 (=> @t65 (= @t67 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t61 @t62) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t58) (tptp.sdtlbdtrb0 @t5 @t59)))))))) % 35.35/35.59 (assume @p37 (forall @t3 (=> @t57 (tptp.sdtlseqdt0 tptp.sz0z00 @t68)))) % 35.35/35.59 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 35.35/35.59 (assume @p39 (forall @t11 (=> @t66 (=> @t64 (=> (tptp.iLess0 @t58 @t69) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t67 @t67) (tptp.sdtasdt0 @t68 (tptp.sdtasasdt0 @t5 @t5)))))))) % 35.35/35.59 (assume @p40 (= @t69 @t70)) % 35.35/35.59 (assume @p41 (not (= @t69 tptp.sz00))) % 35.35/35.59 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t69) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t71))) % 35.35/35.59 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t70) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t72))) % 35.35/35.59 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA @t73))) % 35.35/35.59 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB @t74))) % 35.35/35.59 (assume @p46 (and (tptp.aScalar0 tptp.xC) @t76)) % 35.35/35.59 (assume @p47 (and (tptp.aScalar0 tptp.xD) @t78)) % 35.35/35.59 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 35.35/35.59 (assume @p49 (and (tptp.aScalar0 tptp.xF) @t80)) % 35.35/35.59 (assume @p50 (and (tptp.aScalar0 tptp.xG) @t82)) % 35.35/35.59 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 35.35/35.59 (assume @p52 (and @t85 @t84)) % 35.35/35.59 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 35.35/35.59 (assume @p54 (and @t88 @t87)) % 35.35/35.59 (assume @p55 (and @t91 @t90)) % 35.35/35.59 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 35.35/35.59 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 35.35/35.59 (assume @p58 (and (= (tptp.sdtasdt0 tptp.xR @t93) @t94) (= @t95 @t94) (= (tptp.sdtasdt0 @t93 @t93) @t92))) % 35.35/35.59 (assume @p59 (= @t99 (tptp.sdtpldt0 @t97 (tptp.sdtpldt0 @t94 @t92)))) % 35.35/35.59 (assume @p60 @t102) % 35.35/35.59 (assume @p61 (= @t99 (tptp.sdtpldt0 (tptp.sdtpldt0 @t103 @t94) @t94))) % 35.35/35.59 (assume @p62 @t106) % 35.35/35.59 (assume @p63 true) % 35.35/35.59 (step @p64 :rule and_elim :premises (@p45) :args (1)) % 35.35/35.59 (step @p65 :rule cong :premises (@p64 @p64) :args (@t81)) % 35.35/35.59 (step @p66 :rule refl :args (tptp.xG)) % 35.35/35.59 (step @p67 :rule cong :premises (@p66 @p65) :args (@t82)) % 35.35/35.59 (step @p68 :rule and_elim :premises (@p50) :args (1)) % 35.35/35.59 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 35.35/35.59 (step @p70 :rule and_elim :premises (@p42) :args (3)) % 35.35/35.59 (step @p71 :rule cong :premises (@p70 @p70) :args (@t75)) % 35.35/35.59 (step @p72 :rule refl :args (tptp.xC)) % 35.35/35.59 (step @p73 :rule cong :premises (@p72 @p71) :args (@t76)) % 35.35/35.59 (step @p74 :rule and_elim :premises (@p46) :args (1)) % 35.35/35.59 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 35.35/35.59 (step @p76 :rule cong :premises (@p75 @p69) :args (@t83)) % 35.35/35.59 (step @p77 :rule refl :args (tptp.xR)) % 35.35/35.59 (step @p78 :rule cong :premises (@p77 @p76) :args (@t84)) % 35.35/35.59 (step @p79 :rule and_elim :premises (@p52) :args (1)) % 35.35/35.59 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 35.35/35.59 (step @p81 :rule and_elim :premises (@p43) :args (3)) % 35.35/35.59 (step @p82 :rule cong :premises (@p81 @p81) :args (@t77)) % 35.35/35.59 (step @p83 :rule refl :args (tptp.xD)) % 35.35/35.59 (step @p84 :rule cong :premises (@p83 @p82) :args (@t78)) % 35.35/35.59 (step @p85 :rule and_elim :premises (@p47) :args (1)) % 35.35/35.59 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 35.35/35.59 (step @p87 :rule and_elim :premises (@p44) :args (1)) % 35.35/35.59 (step @p88 :rule cong :premises (@p87 @p87) :args (@t79)) % 35.35/35.59 (step @p89 :rule refl :args (tptp.xF)) % 35.35/35.59 (step @p90 :rule cong :premises (@p89 @p88) :args (@t80)) % 35.35/35.59 (step @p91 :rule and_elim :premises (@p49) :args (1)) % 35.35/35.59 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 35.35/35.59 (step @p93 :rule cong :premises (@p92 @p86) :args (@t86)) % 35.35/35.59 (step @p94 :rule refl :args (tptp.xS)) % 35.35/35.59 (step @p95 :rule cong :premises (@p94 @p93) :args (@t87)) % 35.35/35.59 (step @p96 :rule and_elim :premises (@p54) :args (1)) % 35.35/35.59 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 35.35/35.59 (step @p98 :rule cong :premises (@p97) :args (@t93)) % 35.35/35.59 (step @p99 :rule cong :premises (@p98 @p80) :args (@t95)) % 35.35/35.59 (step @p100 :rule cong :premises (@p80 @p97) :args (@t89)) % 35.35/35.59 (step @p101 :rule refl :args (tptp.xN)) % 35.35/35.59 (step @p102 :rule cong :premises (@p101 @p100) :args (@t90)) % 35.35/35.59 (step @p103 :rule and_elim :premises (@p55) :args (1)) % 35.35/35.59 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 35.35/35.59 (step @p105 :rule cong :premises (@p104) :args (@t94)) % 35.35/35.59 (step @p106 :rule cong :premises (@p105 @p99) :args ((= @t94 @t95))) % 35.35/35.59 (step @p107 :rule eq-symm :args (@t95 @t94)) % 35.35/35.59 (step @p108 :rule trans :premises (@p107 @p106)) % 35.35/35.59 (step @p109 :rule and_elim :premises (@p58) :args (1)) % 35.35/35.59 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 35.35/35.59 (step @p111 :rule cong :premises (@p97 @p97) :args (@t92)) % 35.35/35.59 (step @p112 :rule cong :premises (@p111 @p105) :args (@t100)) % 35.35/35.59 (step @p113 :rule cong :premises (@p80 @p80) :args (@t96)) % 35.35/35.59 (step @p114 :rule cong :premises (@p113 @p105) :args (@t97)) % 35.35/35.59 (step @p115 :rule cong :premises (@p114 @p112) :args (@t101)) % 35.35/35.59 (step @p116 :rule cong :premises (@p80 @p98) :args (@t98)) % 35.35/35.59 (step @p117 :rule cong :premises (@p116 @p116) :args (@t99)) % 35.35/35.59 (step @p118 :rule cong :premises (@p117 @p115) :args (@t102)) % 35.35/35.59 (step @p119 :rule eq_resolve :premises (@p60 @p118)) % 35.35/35.59 (step @p120 :rule cong :premises (@p117 @p104) :args (@t104)) % 35.35/35.59 (step @p121 :rule cong :premises (@p120 @p104) :args (@t105)) % 35.35/35.59 (step @p122 :rule cong :premises (@p113 @p111) :args (@t103)) % 35.35/35.59 (step @p123 :rule cong :premises (@p122 @p121) :args (@t107)) % 35.35/35.59 (step @p124 :rule cong :premises (@p123) :args ((not @t107))) % 35.35/35.59 (step @p125 :rule eq-symm :args (@t105 @t103)) % 35.35/35.59 (step @p126 :rule cong :premises (@p125) :args (@t106)) % 35.35/35.59 (step @p127 :rule trans :premises (@p126 @p124)) % 35.35/35.59 (step @p128 :rule eq_resolve :premises (@p62 @p127)) % 35.35/35.59 (step @p129 :rule bool-impl-elim :args (@t12 @t109)) % 35.35/35.59 (step @p130 :rule cong :premises (@p129) :args ((forall @t3 (=> @t12 @t109)))) % 35.35/35.59 (step @p131 :rule eq-symm :args (@t25 tptp.sz0z00)) % 35.35/35.59 (step @p132 :rule eq-symm :args (@t26 @t1)) % 35.35/35.59 (step @p133 :rule eq-symm :args (@t27 tptp.sz0z00)) % 35.35/35.59 (step @p134 :rule eq-symm :args (@t28 tptp.sz0z00)) % 35.35/35.59 (step @p135 :rule eq-symm :args (@t29 tptp.sz0z00)) % 35.35/35.59 (step @p136 :rule eq-symm :args (@t30 tptp.sz0z00)) % 35.35/35.59 (step @p137 :rule eq-symm :args (@t31 @t1)) % 35.35/35.59 (step @p138 :rule eq-symm :args (@t32 @t1)) % 35.35/35.59 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131) :args (@t33)) % 35.35/35.59 (step @p140 :rule refl :args (@t12)) % 35.35/35.59 (step @p141 :rule cong :premises (@p140 @p139) :args (@t34)) % 35.35/35.59 (step @p142 :rule cong :premises (@p141) :args (@t35)) % 35.35/35.59 (step @p143 :rule trans :premises (@p142 @p130)) % 35.35/35.59 (step @p144 :rule eq_resolve :premises (@p13 @p143)) % 35.35/35.59 (step @p145 :rule instantiate :premises (@p144) :args ((@list tptp.sz0z00))) % 35.35/35.59 (step @p146 :rule cnf_or_pos :args (@t114)) % 35.35/35.59 (step @p147 :rule reordering :premises (@p146) :args ((or @t113 @t112 (not @t114)))) % 35.35/35.59 (step @p148 :rule chain_m_resolution :premises (@p147 @p9 @p145) :args (@t112 @t115 (@list @t13 @t114))) % 35.35/35.59 (step @p149 :rule cnf_and_pos :args (@t112 2)) % 35.35/35.59 (step @p150 :rule reordering :premises (@p149) :args ((or @t110 (not @t112)))) % 35.35/35.59 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t110 @t116 (@list @t112))) % 35.35/35.59 (step @p152 :rule instantiate :premises (@p144) :args (@t120)) % 35.35/35.59 (step @p153 :rule cong :premises (@p104) :args (@t91)) % 35.35/35.59 (step @p154 :rule and_elim :premises (@p55) :args (0)) % 35.35/35.59 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 35.35/35.59 (step @p156 :rule cnf_or_pos :args (@t128)) % 35.35/35.59 (step @p157 :rule reordering :premises (@p156) :args ((or @t127 @t125 (not @t128)))) % 35.35/35.59 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p152) :args (@t125 @t115 (@list @t126 @t128))) % 35.35/35.59 (step @p159 :rule cnf_and_pos :args (@t125 4)) % 35.35/35.59 (step @p160 :rule reordering :premises (@p159) :args ((or @t124 @t129))) % 35.35/35.59 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t124 @t116 @t130)) % 35.35/35.59 (step @p162 :rule cnf_and_pos :args (@t125 5)) % 35.35/35.59 (step @p163 :rule reordering :premises (@p162) :args ((or @t123 @t129))) % 35.35/35.59 (step @p164 :rule chain_m_resolution :premises (@p163 @p158) :args (@t123 @t116 @t130)) % 35.35/35.59 (step @p165 :rule aci_norm :args ((= (or @t135 @t39) @t134))) % 35.35/35.59 (step @p166 :rule refl :args (@t39)) % 35.35/35.59 (step @p167 :rule aci_norm :args ((= (or @t133 (or @t132 @t131)) @t135))) % 35.35/35.59 (step @p168 :rule bool-and-de-morgan :args (@t16 @t40 true)) % 35.35/35.59 (step @p169 :rule refl :args (@t133)) % 35.35/35.59 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t133 (not (and @t16 @t40))))) % 35.35/35.59 (step @p171 :rule bool-and-de-morgan :args (@t12 @t16 (and @t40))) % 35.35/35.59 (step @p172 :rule trans :premises (@p171 @p170)) % 35.35/35.59 (step @p173 :rule trans :premises (@p172 @p167)) % 35.35/35.59 (step @p174 :rule nary_cong :premises (@p173 @p166) :args ((or (not @t41) @t39))) % 35.35/35.59 (step @p175 :rule trans :premises (@p174 @p165)) % 35.35/35.59 (step @p176 :rule bool-impl-elim :args (@t41 @t39)) % 35.35/35.59 (step @p177 :rule trans :premises (@p176 @p175)) % 35.35/35.59 (step @p178 :rule cong :premises (@p177) :args (@t43)) % 35.35/35.59 (step @p179 :rule eq_resolve :premises (@p14 @p178)) % 35.35/35.59 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t137 @t136 @t121))) % 35.35/35.59 (step @p181 :rule aci_norm :args ((= (or @t138 @t20) (or @t133 @t132 @t20)))) % 35.35/35.59 (step @p182 :rule refl :args (@t20)) % 35.35/35.59 (step @p183 :rule bool-and-de-morgan :args (@t12 @t16 true)) % 35.35/35.59 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t139 @t20))) % 35.35/35.59 (step @p185 :rule trans :premises (@p184 @p181)) % 35.35/35.59 (step @p186 :rule bool-impl-elim :args (@t17 @t20)) % 35.35/35.59 (step @p187 :rule trans :premises (@p186 @p185)) % 35.35/35.59 (step @p188 :rule cong :premises (@p187) :args (@t21)) % 35.35/35.59 (step @p189 :rule eq_resolve :premises (@p11 @p188)) % 35.35/35.59 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t118 @t118))) % 35.35/35.59 (step @p191 :rule cong :premises (@p80) :args (@t85)) % 35.35/35.59 (step @p192 :rule and_elim :premises (@p52) :args (0)) % 35.35/35.59 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 35.35/35.59 (step @p194 :rule cnf_or_pos :args (@t143)) % 35.35/35.59 (step @p195 :rule factoring :premises (@p194)) % 35.35/35.59 (step @p196 :rule reordering :premises (@p195) :args ((or @t142 @t140 (not @t143)))) % 35.35/35.59 (step @p197 :rule chain_m_resolution :premises (@p196 @p193 @p190) :args (@t140 @t115 (@list @t141 @t143))) % 35.35/35.59 (step @p198 :rule instantiate :premises (@p189) :args ((@list @t117 @t117))) % 35.35/35.59 (step @p199 :rule cong :premises (@p97) :args (@t88)) % 35.35/35.59 (step @p200 :rule and_elim :premises (@p54) :args (0)) % 35.35/35.59 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 35.35/35.59 (step @p202 :rule cnf_or_pos :args (@t147)) % 35.35/35.59 (step @p203 :rule factoring :premises (@p202)) % 35.35/35.59 (step @p204 :rule reordering :premises (@p203) :args ((or @t146 @t144 (not @t147)))) % 35.35/35.59 (step @p205 :rule chain_m_resolution :premises (@p204 @p201 @p198) :args (@t144 @t115 (@list @t145 @t147))) % 35.35/35.59 (step @p206 :rule bool-impl-elim :args (@t12 @t23)) % 35.35/35.59 (step @p207 :rule cong :premises (@p206) :args (@t24)) % 35.35/35.59 (step @p208 :rule eq_resolve :premises (@p12 @p207)) % 35.35/35.59 (step @p209 :rule instantiate :premises (@p208) :args (@t120)) % 35.35/35.59 (step @p210 :rule cnf_or_pos :args (@t149)) % 35.35/35.59 (step @p211 :rule reordering :premises (@p210) :args ((or @t127 @t148 (not @t149)))) % 35.35/35.59 (step @p212 :rule chain_m_resolution :premises (@p211 @p155 @p209) :args (@t148 @t115 (@list @t126 @t149))) % 35.35/35.59 (step @p213 :rule cnf_or_pos :args (@t163)) % 35.35/35.59 (step @p214 :rule reordering :premises (@p213) :args ((or @t160 @t161 @t162 @t159 (not @t163)))) % 35.35/35.59 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p205 @p197 @p180) :args (@t159 @t164 (@list @t148 @t144 @t140 @t163))) % 35.35/35.59 (step @p216 :rule cnf_and_pos :args (@t159 1)) % 35.35/35.59 (step @p217 :rule reordering :premises (@p216) :args ((or @t156 (not @t159)))) % 35.35/35.59 (step @p218 :rule chain_m_resolution :premises (@p217 @p215) :args (@t156 @t116 (@list @t159))) % 35.35/35.59 (step @p219 :rule instantiate :premises (@p179) :args ((@list @t155 @t121 @t121))) % 35.35/35.59 (step @p220 :rule aci_norm :args ((= (or @t138 @t15) (or @t133 @t132 @t15)))) % 35.35/35.59 (step @p221 :rule refl :args (@t15)) % 35.35/35.59 (step @p222 :rule nary_cong :premises (@p183 @p221) :args ((or @t139 @t15))) % 35.35/35.59 (step @p223 :rule trans :premises (@p222 @p220)) % 35.35/35.59 (step @p224 :rule bool-impl-elim :args (@t17 @t15)) % 35.35/35.59 (step @p225 :rule trans :premises (@p224 @p223)) % 35.35/35.59 (step @p226 :rule cong :premises (@p225) :args (@t18)) % 35.35/35.59 (step @p227 :rule eq_resolve :premises (@p10 @p226)) % 35.35/35.59 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t137 @t136))) % 35.35/35.59 (step @p229 :rule cnf_or_pos :args (@t166)) % 35.35/35.59 (step @p230 :rule reordering :premises (@p229) :args ((or @t161 @t162 @t165 (not @t166)))) % 35.35/35.59 (step @p231 :rule chain_m_resolution :premises (@p230 @p205 @p197 @p228) :args (@t165 @t167 (@list @t144 @t140 @t166))) % 35.35/35.59 (step @p232 :rule cnf_or_pos :args (@t172)) % 35.35/35.59 (step @p233 :rule factoring :premises (@p232)) % 35.35/35.59 (step @p234 :rule reordering :premises (@p233) :args ((or @t160 @t171 @t170 (not @t172)))) % 35.35/35.59 (step @p235 :rule chain_m_resolution :premises (@p234 @p212 @p231 @p219) :args (@t170 @t167 (@list @t148 @t165 @t172))) % 35.35/35.59 (step @p236 :rule cnf_and_pos :args (@t170 1)) % 35.35/35.59 (step @p237 :rule reordering :premises (@p236) :args ((or @t169 (not @t170)))) % 35.35/35.59 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t169 @t116 (@list @t170))) % 35.35/35.59 (step @p239 :rule refl :args (@t175)) % 35.35/35.59 (step @p240 :rule refl :args (@t176)) % 35.35/35.59 (step @p241 :rule refl :args (@t179)) % 35.35/35.59 (step @p242 :rule eq-symm :args (@t180 @t181)) % 35.35/35.59 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240 @p239) :args (@t182)) % 35.35/35.59 (step @p244 :rule refl :args (@t160)) % 35.35/35.59 (step @p245 :rule refl :args (@t161)) % 35.35/35.59 (step @p246 :rule refl :args (@t184)) % 35.35/35.59 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244 @p243) :args (@t185)) % 35.35/35.59 (step @p248 :rule refl :args (@t186)) % 35.35/35.59 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t186 @t185))) % 35.35/35.59 (assume-push @p480 @t186) % 35.35/35.59 (step @p251 :rule instantiate :premises (@p179) :args ((@list @t173 @t136 @t121))) % 35.35/35.59 (step-pop @p481 :rule scope :premises (@p251)) % 35.35/35.59 (step @p252 :rule process_scope :premises (@p481) :args (@t185)) % 35.35/35.59 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 35.35/35.59 (step @p255 :rule implies_elim :premises (@p254)) % 35.35/35.59 (step @p256 :rule chain_m_resolution :premises (@p255 @p179) :args (@t189 @t116 @t190)) % 35.35/35.59 (step @p257 :rule instantiate :premises (@p227) :args ((@list @t137 @t121))) % 35.35/35.59 (step @p258 :rule cnf_or_pos :args (@t191)) % 35.35/35.59 (step @p259 :rule reordering :premises (@p258) :args ((or @t160 @t162 @t183 (not @t191)))) % 35.35/35.59 (step @p260 :rule chain_m_resolution :premises (@p259 @p212 @p197 @p257) :args (@t183 @t167 (@list @t148 @t140 @t191))) % 35.35/35.59 (step @p261 :rule cnf_or_pos :args (@t189)) % 35.35/35.59 (step @p262 :rule reordering :premises (@p261) :args ((or @t160 @t161 @t184 @t188 (not @t189)))) % 35.35/35.59 (step @p263 :rule chain_m_resolution :premises (@p262 @p212 @p205 @p260 @p256) :args (@t188 @t164 (@list @t148 @t144 @t183 @t189))) % 35.35/35.59 (step @p264 :rule cnf_and_pos :args (@t188 0)) % 35.35/35.59 (step @p265 :rule reordering :premises (@p264) :args ((or @t187 @t192))) % 35.35/35.59 (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t187 @t116 @t193)) % 35.35/35.59 (step @p267 :rule cnf_and_pos :args (@t188 1)) % 35.35/35.59 (step @p268 :rule reordering :premises (@p267) :args ((or @t179 @t192))) % 35.35/35.59 (step @p269 :rule chain_m_resolution :premises (@p268 @p263) :args (@t179 @t116 @t193)) % 35.35/35.59 (step @p270 :rule instantiate :premises (@p179) :args ((@list @t196 @t119 @t119))) % 35.35/35.59 (step @p271 :rule instantiate :premises (@p189) :args ((@list @t195 @t195))) % 35.35/35.59 (step @p272 :rule instantiate :premises (@p227) :args ((@list @t118 @t194))) % 35.35/35.59 (step @p273 :rule instantiate :premises (@p208) :args ((@list @t117))) % 35.35/35.59 (step @p274 :rule cnf_or_pos :args (@t198)) % 35.35/35.59 (step @p275 :rule reordering :premises (@p274) :args ((or @t146 @t197 (not @t198)))) % 35.35/35.59 (step @p276 :rule chain_m_resolution :premises (@p275 @p201 @p273) :args (@t197 @t115 (@list @t145 @t198))) % 35.35/35.59 (step @p277 :rule cnf_or_pos :args (@t201)) % 35.35/35.59 (step @p278 :rule reordering :premises (@p277) :args ((or @t142 @t200 @t199 (not @t201)))) % 35.35/35.59 (step @p279 :rule chain_m_resolution :premises (@p278 @p193 @p276 @p272) :args (@t199 @t167 (@list @t141 @t197 @t201))) % 35.35/35.59 (step @p280 :rule cnf_or_pos :args (@t204)) % 35.35/35.59 (step @p281 :rule factoring :premises (@p280)) % 35.35/35.59 (step @p282 :rule reordering :premises (@p281) :args ((or @t202 @t203 (not @t204)))) % 35.35/35.59 (step @p283 :rule chain_m_resolution :premises (@p282 @p279 @p271) :args (@t202 @t115 (@list @t199 @t204))) % 35.35/35.59 (step @p284 :rule cnf_or_pos :args (@t214)) % 35.35/35.59 (step @p285 :rule factoring :premises (@p284)) % 35.35/35.59 (step @p286 :rule reordering :premises (@p285) :args ((or @t127 @t213 @t212 (not @t214)))) % 35.35/35.59 (step @p287 :rule chain_m_resolution :premises (@p286 @p155 @p283 @p270) :args (@t212 @t167 (@list @t126 @t202 @t214))) % 35.35/35.59 (step @p288 :rule cnf_and_pos :args (@t212 1)) % 35.35/35.59 (step @p289 :rule reordering :premises (@p288) :args ((or @t210 (not @t212)))) % 35.35/35.59 (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t210 @t116 (@list @t212))) % 35.35/35.59 (step @p291 :rule instantiate :premises (@p144) :args ((@list @t155))) % 35.35/35.59 (step @p292 :rule cnf_or_pos :args (@t218)) % 35.35/35.59 (step @p293 :rule reordering :premises (@p292) :args ((or @t171 @t217 (not @t218)))) % 35.35/35.59 (step @p294 :rule chain_m_resolution :premises (@p293 @p231 @p291) :args (@t217 @t115 (@list @t165 @t218))) % 35.35/35.59 (step @p295 :rule cnf_and_pos :args (@t217 1)) % 35.35/35.59 (step @p296 :rule reordering :premises (@p295) :args ((or @t216 (not @t217)))) % 35.35/35.59 (step @p297 :rule chain_m_resolution :premises (@p296 @p294) :args (@t216 @t116 (@list @t217))) % 35.35/35.59 (step @p298 :rule instantiate :premises (@p144) :args ((@list @t158))) % 35.35/35.59 (step @p299 :rule instantiate :premises (@p227) :args ((@list @t155 @t121))) % 35.35/35.59 (step @p300 :rule cnf_or_pos :args (@t220)) % 35.35/35.59 (step @p301 :rule reordering :premises (@p300) :args ((or @t160 @t171 @t219 (not @t220)))) % 35.35/35.59 (step @p302 :rule chain_m_resolution :premises (@p301 @p212 @p231 @p299) :args (@t219 @t167 (@list @t148 @t165 @t220))) % 35.35/35.59 (step @p303 :rule cnf_or_pos :args (@t226)) % 35.35/35.59 (step @p304 :rule reordering :premises (@p303) :args ((or @t225 @t224 (not @t226)))) % 35.35/35.59 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p298) :args (@t224 @t115 (@list @t219 @t226))) % 35.35/35.59 (step @p306 :rule cnf_and_pos :args (@t224 0)) % 35.35/35.59 (step @p307 :rule reordering :premises (@p306) :args ((or @t223 (not @t224)))) % 35.35/35.59 (step @p308 :rule chain_m_resolution :premises (@p307 @p305) :args (@t223 @t116 (@list @t224))) % 35.35/35.59 (step @p309 :rule eq-symm :args (@t150 @t151)) % 35.35/35.59 (step @p310 :rule refl :args (@t227)) % 35.35/35.59 (step @p311 :rule eq-symm :args (@t154 @t155)) % 35.35/35.59 (step @p312 :rule eq-symm :args (@t228 @t177)) % 35.35/35.59 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309) :args (@t229)) % 35.35/35.59 (step @p314 :rule refl :args (@t162)) % 35.35/35.59 (step @p315 :rule nary_cong :premises (@p245 @p314 @p244 @p313) :args (@t230)) % 35.35/35.59 (step @p316 :rule cong :premises (@p248 @p315) :args ((=> @t186 @t230))) % 35.35/35.59 (assume-push @p482 @t186) % 35.35/35.59 (step @p318 :rule instantiate :premises (@p179) :args ((@list @t136 @t137 @t121))) % 35.35/35.59 (step-pop @p483 :rule scope :premises (@p318)) % 35.35/35.59 (step @p319 :rule process_scope :premises (@p483) :args (@t230)) % 35.35/35.59 (step @p321 :rule eq_resolve :premises (@p319 @p316)) % 35.35/35.59 (step @p322 :rule implies_elim :premises (@p321)) % 35.35/35.59 (step @p323 :rule chain_m_resolution :premises (@p322 @p179) :args (@t233 @t116 @t190)) % 35.35/35.59 (step @p324 :rule cnf_or_pos :args (@t233)) % 35.35/35.59 (step @p325 :rule reordering :premises (@p324) :args ((or @t160 @t161 @t162 @t232 (not @t233)))) % 35.35/35.59 (step @p326 :rule chain_m_resolution :premises (@p325 @p212 @p205 @p197 @p323) :args (@t232 @t164 (@list @t148 @t144 @t140 @t233))) % 35.35/35.59 (step @p327 :rule cnf_and_pos :args (@t232 0)) % 35.35/35.59 (step @p328 :rule reordering :premises (@p327) :args ((or @t231 (not @t232)))) % 35.35/35.59 (step @p329 :rule chain_m_resolution :premises (@p328 @p326) :args (@t231 @t116 (@list @t232))) % 35.35/35.59 (step @p330 :rule eq-symm :args (@t205 @t206)) % 35.35/35.59 (step @p331 :rule refl :args (@t234)) % 35.35/35.59 (step @p332 :rule eq-symm :args (@t208 @t209)) % 35.35/35.59 (step @p333 :rule refl :args (@t236)) % 35.35/35.59 (step @p334 :rule nary_cong :premises (@p333 @p332 @p331 @p330) :args (@t237)) % 35.35/35.59 (step @p335 :rule refl :args (@t127)) % 35.35/35.59 (step @p336 :rule refl :args (@t213)) % 35.35/35.59 (step @p337 :rule nary_cong :premises (@p335 @p336 @p335 @p334) :args (@t238)) % 35.35/35.59 (step @p338 :rule cong :premises (@p248 @p337) :args ((=> @t186 @t238))) % 35.35/35.59 (assume-push @p484 @t186) % 35.35/35.59 (step @p340 :rule instantiate :premises (@p179) :args ((@list @t119 @t196 @t119))) % 35.35/35.59 (step-pop @p485 :rule scope :premises (@p340)) % 35.35/35.59 (step @p341 :rule process_scope :premises (@p485) :args (@t238)) % 35.35/35.59 (step @p343 :rule eq_resolve :premises (@p341 @p338)) % 35.35/35.59 (step @p344 :rule implies_elim :premises (@p343)) % 35.35/35.59 (step @p345 :rule chain_m_resolution :premises (@p344 @p179) :args (@t240 @t116 @t190)) % 35.35/35.59 (step @p346 :rule cnf_or_pos :args (@t240)) % 35.35/35.59 (step @p347 :rule factoring :premises (@p346)) % 35.35/35.59 (step @p348 :rule reordering :premises (@p347) :args ((or @t127 @t213 @t239 (not @t240)))) % 35.35/35.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p155 @p283 @p345) :args (@t239 @t167 (@list @t126 @t202 @t240))) % 35.35/35.59 (step @p350 :rule cnf_and_pos :args (@t239 0)) % 35.35/35.59 (step @p351 :rule reordering :premises (@p350) :args ((or @t236 (not @t239)))) % 35.35/35.59 (step @p352 :rule chain_m_resolution :premises (@p351 @p349) :args (@t236 @t116 (@list @t239))) % 35.35/35.59 (step @p353 :rule instantiate :premises (@p179) :args ((@list @t178 @t121 @t119))) % 35.35/35.59 (step @p354 :rule instantiate :premises (@p227) :args ((@list @t173 @t136))) % 35.35/35.59 (step @p355 :rule cnf_or_pos :args (@t242)) % 35.35/35.59 (step @p356 :rule reordering :premises (@p355) :args ((or @t161 @t184 @t241 (not @t242)))) % 35.35/35.59 (step @p357 :rule chain_m_resolution :premises (@p356 @p205 @p260 @p354) :args (@t241 @t167 (@list @t144 @t183 @t242))) % 35.35/35.59 (step @p358 :rule cnf_or_pos :args (@t248)) % 35.35/35.59 (step @p359 :rule reordering :premises (@p358) :args ((or @t127 @t160 @t247 @t246 (not @t248)))) % 35.35/35.59 (step @p360 :rule chain_m_resolution :premises (@p359 @p155 @p212 @p357 @p353) :args (@t246 @t164 (@list @t126 @t148 @t241 @t248))) % 35.35/35.59 (step @p361 :rule cnf_and_pos :args (@t246 0)) % 35.35/35.59 (step @p362 :rule reordering :premises (@p361) :args ((or @t245 (not @t246)))) % 35.35/35.59 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t245 @t116 (@list @t246))) % 35.35/35.59 (step @p364 :rule instantiate :premises (@p179) :args ((@list @t119 @t249 @t155))) % 35.35/35.59 (step @p365 :rule instantiate :premises (@p189) :args ((@list @t194 @t118))) % 35.35/35.59 (step @p366 :rule cnf_or_pos :args (@t251)) % 35.35/35.59 (step @p367 :rule reordering :premises (@p366) :args ((or @t142 @t200 @t250 (not @t251)))) % 35.35/35.59 (step @p368 :rule chain_m_resolution :premises (@p367 @p193 @p276 @p365) :args (@t250 @t167 (@list @t141 @t197 @t251))) % 35.35/35.59 (step @p369 :rule cnf_or_pos :args (@t260)) % 35.35/35.59 (step @p370 :rule reordering :premises (@p369) :args ((or @t127 @t171 @t259 @t258 (not @t260)))) % 35.35/35.59 (step @p371 :rule chain_m_resolution :premises (@p370 @p155 @p231 @p368 @p364) :args (@t258 @t164 (@list @t126 @t165 @t250 @t260))) % 35.35/35.59 (step @p372 :rule cnf_and_pos :args (@t258 0)) % 35.35/35.59 (step @p373 :rule reordering :premises (@p372) :args ((or @t257 (not @t258)))) % 35.35/35.59 (step @p374 :rule chain_m_resolution :premises (@p373 @p371) :args (@t257 @t116 (@list @t258))) % 35.35/35.59 (step @p375 :rule refl :args (@t261)) % 35.35/35.59 (step @p376 :rule refl :args (@t262)) % 35.35/35.59 (step @p377 :rule refl :args (@t263)) % 35.35/35.59 (step @p378 :rule refl :args (@t264)) % 35.35/35.59 (step @p379 :rule refl :args (@t265)) % 35.35/35.59 (step @p380 :rule refl :args (@t266)) % 35.35/35.59 (step @p381 :rule refl :args (@t267)) % 35.35/35.59 (step @p382 :rule refl :args (@t268)) % 35.35/35.59 (step @p383 :rule refl :args (@t269)) % 35.35/35.59 (step @p384 :rule refl :args (@t270)) % 35.35/35.59 (step @p385 :rule refl :args (@t271)) % 35.35/35.59 (step @p386 :rule refl :args (@t272)) % 35.35/35.59 (step @p387 :rule refl :args (@t273)) % 35.35/35.59 (step @p388 :rule refl :args (@t274)) % 35.35/35.59 (step @p389 :rule bool-double-not-elim :args (@t275)) % 35.35/35.59 (step @p390 :rule refl :args (@t277)) % 35.35/35.59 (step @p391 :rule refl :args (@t279)) % 35.35/35.59 (step @p392 :rule nary_cong :premises (@p391 @p390 @p389 @p388 @p387 @p386 @p385 @p384 @p383 @p382 @p381 @p380 @p379 @p378 @p377 @p376 @p375) :args ((or @t279 @t277 (not @t280) @t274 @t273 @t272 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261))) % 35.35/35.59 (assume-push @p486 @t257) % 35.35/35.59 (assume-push @p487 @t261) % 35.35/35.59 (step @p395 :rule evaluate :args ((= false true))) % 35.35/35.59 (step @p396 :rule true_intro :premises (@p374)) % 35.35/35.59 (step @p397 :rule false_intro :premises (@p128)) % 35.35/35.59 (step @p398 :rule refl :args (@t119)) % 35.35/35.59 (step @p399 :rule symm :premises (@p290)) % 35.35/35.59 (step @p400 :rule cong :premises (@p399 @p398) :args (@t235)) % 35.35/35.59 (step @p401 :rule symm :premises (@p352)) % 35.35/35.59 (step @p402 :rule symm :premises (@p119)) % 35.35/35.59 (step @p403 :rule symm :premises (@p266)) % 35.35/35.59 (step @p404 :rule trans :premises (@p403 @p402)) % 35.35/35.59 (step @p405 :rule cong :premises (@p404 @p398) :args (@t244)) % 35.35/35.59 (step @p406 :rule symm :premises (@p363)) % 35.35/35.59 (step @p407 :rule symm :premises (@p269)) % 35.35/35.59 (step @p408 :rule symm :premises (@p329)) % 35.35/35.59 (step @p409 :rule refl :args (@t121)) % 35.35/35.59 (step @p410 :rule cong :premises (@p218 @p409) :args (@t158)) % 35.35/35.59 (step @p411 :rule trans :premises (@p410 @p408 @p407)) % 35.35/35.59 (step @p412 :rule cong :premises (@p411 @p164) :args (@t222)) % 35.35/35.59 (step @p413 :rule symm :premises (@p238)) % 35.35/35.59 (step @p414 :rule refl :args (@t155)) % 35.35/35.59 (step @p415 :rule symm :premises (@p110)) % 35.35/35.59 (step @p416 :rule cong :premises (@p415 @p414) :args (@t254)) % 35.35/35.59 (step @p417 :rule trans :premises (@p416 @p413 @p308 @p412 @p406 @p405)) % 35.35/35.59 (step @p418 :rule cong :premises (@p398 @p417) :args (@t255)) % 35.35/35.59 (step @p419 :rule trans :premises (@p418 @p401 @p400)) % 35.35/35.59 (step @p420 :rule symm :premises (@p297)) % 35.35/35.59 (step @p421 :rule symm :premises (@p151)) % 35.35/35.59 (step @p422 :rule symm :premises (@p161)) % 35.35/35.59 (step @p423 :rule cong :premises (@p398 @p415) :args (@t253)) % 35.35/35.59 (step @p424 :rule trans :premises (@p423 @p422 @p151)) % 35.35/35.59 (step @p425 :rule trans :premises (@p424 @p421)) % 35.35/35.59 (step @p426 :rule cong :premises (@p425 @p414) :args (@t256)) % 35.35/35.59 (step @p427 :rule trans :premises (@p426 @p420)) % 35.35/35.59 (step @p428 :rule cong :premises (@p427 @p419) :args (@t257)) % 35.35/35.59 (step @p429 :rule trans :premises (@p428 @p397)) % 35.35/35.59 (step @p430 :rule symm :premises (@p429)) % 35.35/35.59 (step @p431 :rule trans :premises (@p430 @p396)) % 35.35/35.59 (step @p432 false :rule eq_resolve :premises (@p431 @p395)) % 35.35/35.59 (step-pop @p488 :rule scope :premises (@p432)) % 35.35/35.59 (step-pop @p489 :rule scope :premises (@p488)) % 35.35/35.59 (step @p433 :rule process_scope :premises (@p489) :args (false)) % 35.35/35.59 (assume-push @p490 @t278) % 35.35/35.59 (assume-push @p491 @t276) % 35.35/35.59 (assume-push @p492 @t280) % 35.35/35.59 (assume-push @p493 @t110) % 35.35/35.59 (assume-push @p494 @t124) % 35.35/35.59 (assume-push @p495 @t123) % 35.35/35.59 (assume-push @p496 @t156) % 35.35/35.59 (assume-push @p497 @t169) % 35.35/35.59 (assume-push @p498 @t210) % 35.35/35.59 (assume-push @p499 @t179) % 35.35/35.59 (assume-push @p500 @t187) % 35.35/35.59 (assume-push @p501 @t216) % 35.35/35.59 (assume-push @p502 @t223) % 35.35/35.59 (assume-push @p503 @t231) % 35.35/35.59 (assume-push @p504 @t245) % 35.35/35.59 (assume-push @p505 @t236) % 35.35/35.59 (assume-push @p506 @t257) % 35.35/35.59 (step @p397 :rule false_intro :premises (@p128)) % 35.35/35.59 (step @p398 :rule refl :args (@t119)) % 35.35/35.59 (step @p399 :rule symm :premises (@p290)) % 35.35/35.59 (step @p400 :rule cong :premises (@p399 @p398) :args (@t235)) % 35.35/35.59 (step @p401 :rule symm :premises (@p352)) % 35.35/35.59 (step @p402 :rule symm :premises (@p119)) % 35.35/35.59 (step @p403 :rule symm :premises (@p266)) % 35.35/35.59 (step @p404 :rule trans :premises (@p403 @p402)) % 35.35/35.59 (step @p405 :rule cong :premises (@p404 @p398) :args (@t244)) % 35.35/35.59 (step @p406 :rule symm :premises (@p363)) % 35.35/35.59 (step @p407 :rule symm :premises (@p269)) % 35.35/35.59 (step @p408 :rule symm :premises (@p329)) % 35.35/35.59 (step @p409 :rule refl :args (@t121)) % 35.35/35.59 (step @p410 :rule cong :premises (@p218 @p409) :args (@t158)) % 35.35/35.59 (step @p411 :rule trans :premises (@p410 @p408 @p407)) % 35.35/35.59 (step @p412 :rule cong :premises (@p411 @p164) :args (@t222)) % 35.35/35.59 (step @p413 :rule symm :premises (@p238)) % 35.35/35.59 (step @p414 :rule refl :args (@t155)) % 35.35/35.59 (step @p415 :rule symm :premises (@p110)) % 35.35/35.59 (step @p416 :rule cong :premises (@p415 @p414) :args (@t254)) % 35.35/35.59 (step @p417 :rule trans :premises (@p416 @p413 @p308 @p412 @p406 @p405)) % 35.35/35.59 (step @p418 :rule cong :premises (@p398 @p417) :args (@t255)) % 35.35/35.59 (step @p419 :rule trans :premises (@p418 @p401 @p400)) % 35.35/35.59 (step @p420 :rule symm :premises (@p297)) % 35.35/35.59 (step @p421 :rule symm :premises (@p151)) % 35.35/35.59 (step @p422 :rule symm :premises (@p161)) % 35.35/35.59 (step @p423 :rule cong :premises (@p398 @p415) :args (@t253)) % 35.35/35.59 (step @p424 :rule trans :premises (@p423 @p422 @p151)) % 35.35/35.59 (step @p425 :rule trans :premises (@p424 @p421)) % 35.35/35.59 (step @p426 :rule cong :premises (@p425 @p414) :args (@t256)) % 35.35/35.59 (step @p427 :rule trans :premises (@p426 @p420)) % 35.35/35.59 (step @p428 :rule cong :premises (@p427 @p419) :args (@t257)) % 35.35/35.59 (step @p453 :rule trans :premises (@p428 @p397)) % 35.35/35.59 (step @p454 :rule false_elim :premises (@p453)) % 35.35/35.59 (step @p455 :rule and_intro :premises (@p374 @p454)) % 35.35/35.59 (step-pop @p507 :rule scope :premises (@p455)) % 35.35/35.59 (step-pop @p508 :rule scope :premises (@p507)) % 35.35/35.59 (step-pop @p509 :rule scope :premises (@p508)) % 35.35/35.59 (step-pop @p510 :rule scope :premises (@p509)) % 35.35/35.59 (step-pop @p511 :rule scope :premises (@p510)) % 35.35/35.59 (step-pop @p512 :rule scope :premises (@p511)) % 35.35/35.59 (step-pop @p513 :rule scope :premises (@p512)) % 35.35/35.59 (step-pop @p514 :rule scope :premises (@p513)) % 35.35/35.59 (step-pop @p515 :rule scope :premises (@p514)) % 35.35/35.59 (step-pop @p516 :rule scope :premises (@p515)) % 35.35/35.59 (step-pop @p517 :rule scope :premises (@p516)) % 35.35/35.59 (step-pop @p518 :rule scope :premises (@p517)) % 35.35/35.59 (step-pop @p519 :rule scope :premises (@p518)) % 35.35/35.59 (step-pop @p520 :rule scope :premises (@p519)) % 35.35/35.59 (step-pop @p521 :rule scope :premises (@p520)) % 35.35/35.59 (step-pop @p522 :rule scope :premises (@p521)) % 35.35/35.59 (step-pop @p523 :rule scope :premises (@p522)) % 35.35/35.59 (step @p456 :rule process_scope :premises (@p523) :args (@t281)) % 35.35/35.59 (step @p474 :rule implies_elim :premises (@p456)) % 35.35/35.59 (step @p475 :rule resolution :premises (@p474 @p433) :args (true @t281)) % 35.35/35.59 (step @p476 :rule not_and :premises (@p475)) % 35.35/35.59 (step @p477 :rule eq_resolve :premises (@p476 @p392)) % 35.35/35.59 (step @p478 :rule reordering :premises (@p477) :args ((or @t275 @t279 @t277 @t274 @t273 @t272 @t271 @t270 @t269 @t267 @t268 @t266 @t265 @t264 @t263 @t262 @t261))) % 35.35/35.59 (step @p479 false :rule chain_m_resolution :premises (@p478 @p374 @p363 @p352 @p329 @p308 @p297 @p290 @p269 @p266 @p238 @p218 @p164 @p161 @p151 @p128 @p119 @p110) :args (false (@list false false false false false false false false false false false false false false true false false) (@list @t257 @t245 @t236 @t231 @t223 @t216 @t210 @t179 @t187 @t169 @t156 @t123 @t124 @t110 @t275 @t276 @t278))) % 35.35/35.59 ) % 35.35/35.59 % SZS output end Proof % 35.35/35.59 % cvc5 exiting %------------------------------------------------------------------------------